TSTP Solution File: GRP775+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:10:50 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f3201,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f1332,f1481,f2750,f2753,f3200]) ).
fof(f3200,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(subsumption_resolution,[],[f3198,f46]) ).
fof(f46,plain,
( sK0 != product(sK0,product(sK1,sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_2
<=> sK0 = product(sK0,product(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f3198,plain,
( sK0 = product(sK0,product(sK1,sK0))
| ~ spl3_1 ),
inference(resolution,[],[f3157,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X0,X1) = X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( l(X0,X1)
<=> ( product(X1,X0) = X1
& product(X0,X1) = X0 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] :
( l(X3,X4)
<=> ( product(X4,X3) = X4
& product(X3,X4) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f3157,plain,
( l(sK0,product(sK1,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f3129,f1344]) ).
fof(f1344,plain,
( sK0 = product(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f43,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(sK2(X0,X1),X0) = X0 ),
inference(resolution,[],[f36,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X1,X0) = X0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( r(X0,X1)
<=> ( product(X1,X0) = X0
& product(X0,X1) = X1 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X5,X6] :
( r(X5,X6)
<=> ( product(X6,X5) = X5
& product(X5,X6) = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f36,plain,
! [X0,X1] :
( r(X0,sK2(X0,X1))
| ~ d(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ( l(sK2(X0,X1),X1)
& r(X0,sK2(X0,X1)) )
| ~ d(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
=> ( l(sK2(X0,X1),X1)
& r(X0,sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
| ~ d(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X2] :
( l(X2,X1)
& r(X0,X2) )
| ~ d(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( d(X0,X1)
<=> ? [X2] :
( l(X2,X1)
& r(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X7,X8] :
( d(X7,X8)
<=> ? [X9] :
( l(X9,X8)
& r(X7,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f43,plain,
( d(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_1
<=> d(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f3129,plain,
( ! [X0] : l(product(sK2(sK0,sK1),X0),product(sK1,X0))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f93,f50,f52,f54,f59,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1015,f959,f1080,f372,f1228,f1209,f27,f43,f1343,f1361,f1350,f1353,f1360,f1355,f1365,f1357,f1366,f1359,f1367,f1362,f1369,f1372,f1364,f1374,f1375,f1344,f1377,f1388,f1382,f1393,f1390,f1399,f1394,f1400,f1402,f1397,f1408,f1407,f1405,f1409,f1410,f1411,f1341,f1428,f1425,f1431,f1342,f1434,f1453,f1440,f1443,f1457,f1455,f1484,f1462,f1485,f1486,f1488,f1370,f1503,f1492,f1493,f1502,f1497,f1505,f1499,f1501,f1373,f1507,f1518,f1509,f1512,f1522,f1523,f1412,f1530,f1541,f1532,f1535,f1546,f1543,f1552,f1547,f603,f1578,f1584,f1591,f1562,f1565,f1609,f1604,f1611,f1605,f1614,f1550,f1620,f1619,f1617,f1621,f1622,f1623,f1351,f1650,f1635,f1658,f1662,f1663,f1664,f1667,f1668,f1669,f1674,f1676,f1677,f1679,f1379,f1707,f1719,f1720,f1723,f1728,f1733,f1734,f1735,f1737,f1749,f1757,f1759,f1732,f1760,f1761,f1762,f1782,f1784,f1770,f1787,f1495,f1815,f1824,f1826,f1829,f1832,f1834,f1842,f1810,f1848,f1849,f1850,f81,f1923,f1926,f1864,f1868,f1869,f1875,f1876,f1877,f1882,f1883,f1885,f1886,f1887,f1934,f1935,f1936,f1896,f1898,f1899,f1948,f1952,f1954,f1957,f1962,f1966,f1969,f1971,f1974,f1821,f1975,f1976,f1978,f1651,f1994,f1980,f1981,f1983,f1993,f1987,f1996,f1989,f1991,f1992,f1747,f1999,f2001,f1768,f2002,f2003,f1529,f2025,f2009,f2013,f2014,f2033,f1555,f2062,f2046,f2050,f2051,f2070,f91,f2145,f2146,f2147,f2148,f2089,f2095,f2096,f2098,f2099,f2100,f2107,f2108,f2154,f2155,f2158,f2159,f2161,f2165,f2166,f2169,f2170,f2179,f2182,f2185,f2190,f2196,f2200,f2203,f2204,f2210,f2211,f2215,f2219,f2221,f1624,f2222,f2237,f2224,f2227,f2228,f2229,f2230,f2242,f2239,f2249,f2243,f2250,f2252,f2246,f2253,f2254,f1002,f2256,f2258,f2314,f2324,f2265,f2327,f2335,f2347,f2361,f2366,f2370,f2302,f2309,f2310,f2311,f1008,f2394,f2395,f2459,f2464,f2468,f2410,f2417,f2418,f2419,f2505,f2426,f2508,f2516,f2529,f1227,f2535,f2536,f2537,f2538,f2542,f2576,f2552,f2584,f2559,f2594,f2595,f2596,f2597,f1487,f2601,f2600,f2598,f2602,f2603,f2626,f2606,f2607,f2625,f2614,f2628,f2616,f2618,f2619,f2621,f2622,f2624,f2631,f2632,f2633,f2634,f2609,f2674,f2676,f2671,f2683,f2689,f2691,f2694,f2697,f2699,f2643,f2718,f2719,f2720,f2721,f1527,f2725,f2729,f2727,f2728,f1610,f2734,f2736,f2737,f2731,f2738,f2739,f2740,f2741,f2735,f99,f2884,f2885,f2777,f2886,f2890,f2894,f2895,f2896,f2783,f2784,f2897,f2787,f2788,f2901,f2791,f2793,f2795,f2796,f2797,f2798,f2905,f2907,f2910,f2911,f2803,f2804,f2913,f2916,f2807,f2808,f2809,f2810,f2917,f2812,f2813,f2814,f2918,f2919,f2817,f2818,f2819,f2920,f2821,f2822,f2823,f2926,f2928,f2931,f2835,f2842,f2843,f2846,f2849,f2944,f2945,f2950,f2951,f2954,f2955,f2958,f2964,f2861,f2965,f2968,f2971,f2976,f2982,f2986,f2989,f2990,f2996,f3001,f3005,f3009,f3014,f3016,f1553,f3017,f3021,f3019,f3020,f1613,f3026,f3027,f3023,f3028,f3029,f3030,f3031,f2247,f3036,f3035,f3033,f3037,f3038,f3039,f3040,f1416,f3092,f3095,f3096,f3097,f3063,f3067,f3117,f3118,f3121,f3126,f3127,f3128]) ).
fof(f3128,plain,
( ! [X0] :
( product(sK1,X0) != product(sK1,product(X0,sK2(sK0,sK1)))
| l(product(sK2(sK0,sK1),X0),product(sK1,X0)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3080,f39]) ).
fof(f3080,plain,
( ! [X0] :
( l(product(sK2(sK0,sK1),X0),product(sK1,X0))
| product(sK1,X0) != product(product(sK1,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f150,f1416]) ).
fof(f3127,plain,
( ! [X0,X1] :
( product(sK1,X0) != product(sK1,product(X0,product(X1,sK2(sK0,sK1))))
| product(X1,sK2(sK0,sK1)) != product(X1,product(sK2(sK0,sK1),X0))
| l(product(sK1,X0),product(X1,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3079,f39]) ).
fof(f3079,plain,
( ! [X0,X1] :
( product(X1,sK2(sK0,sK1)) != product(X1,product(sK2(sK0,sK1),X0))
| l(product(sK1,X0),product(X1,sK2(sK0,sK1)))
| product(sK1,X0) != product(product(sK1,X0),product(X1,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1416]) ).
fof(f3126,plain,
( ! [X0,X1] : product(X1,product(sK2(sK0,sK1),X0)) = product(product(X1,sK2(sK0,sK1)),product(sK1,product(X0,product(X1,product(sK2(sK0,sK1),X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3078,f39]) ).
fof(f3078,plain,
( ! [X0,X1] : product(X1,product(sK2(sK0,sK1),X0)) = product(product(X1,sK2(sK0,sK1)),product(product(sK1,X0),product(X1,product(sK2(sK0,sK1),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1416]) ).
fof(f3121,plain,
( ! [X0] : product(sK2(sK0,sK1),X0) = product(sK2(sK0,sK1),product(sK1,product(X0,product(sK2(sK0,sK1),X0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3073,f39]) ).
fof(f3073,plain,
( ! [X0] : product(sK2(sK0,sK1),X0) = product(sK2(sK0,sK1),product(product(sK1,X0),product(sK2(sK0,sK1),X0)))
| ~ spl3_1 ),
inference(superposition,[],[f59,f1416]) ).
fof(f3118,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(sK1,product(X0,sK2(sK0,sK1)))
| product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(product(sK1,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3070,f39]) ).
fof(f3070,plain,
( ! [X0] :
( product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(product(sK1,X0),sK2(sK0,sK1))
| sK2(sK0,sK1) != product(product(sK1,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f35,f1416]) ).
fof(f3117,plain,
( ! [X0] :
( product(sK1,X0) != product(sK1,product(X0,sK2(sK0,sK1)))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),X0)
| l(product(sK1,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3069,f39]) ).
fof(f3069,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(sK2(sK0,sK1),X0)
| l(product(sK1,X0),sK2(sK0,sK1))
| product(sK1,X0) != product(product(sK1,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f32,f1416]) ).
fof(f3067,plain,
( ! [X0] :
( product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(sK2(sK0,sK1),product(sK1,X0))
| sK2(sK0,sK1) != product(sK1,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1416]) ).
fof(f3063,plain,
( ! [X0] : product(sK1,product(X0,sK2(sK0,sK1))) = product(product(sK1,X0),product(sK2(sK0,sK1),product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1416]) ).
fof(f3097,plain,
( ! [X0,X1] : product(sK2(sK0,sK1),product(X0,X1)) = product(sK2(sK0,sK1),product(X0,product(sK1,product(X0,X1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3047,f1416]) ).
fof(f3047,plain,
( ! [X0,X1] : product(sK2(sK0,sK1),product(X0,product(sK1,product(X0,X1)))) = product(sK2(sK0,sK1),product(sK1,product(X0,X1)))
| ~ spl3_1 ),
inference(superposition,[],[f1416,f91]) ).
fof(f3096,plain,
( ! [X0] : product(sK2(sK0,sK1),X0) = product(sK2(sK0,sK1),product(X0,product(sK1,X0)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3046,f1416]) ).
fof(f3046,plain,
( ! [X0] : product(sK2(sK0,sK1),product(sK1,X0)) = product(sK2(sK0,sK1),product(X0,product(sK1,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f1416,f59]) ).
fof(f3095,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3045,f1341]) ).
fof(f3045,plain,
( product(sK2(sK0,sK1),sK1) = product(sK2(sK0,sK1),product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f1416,f1495]) ).
fof(f3092,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK2(sK2(sK0,sK1),sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3042,f1341]) ).
fof(f3042,plain,
( product(sK2(sK0,sK1),sK1) = product(sK2(sK0,sK1),sK2(sK2(sK0,sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f1416,f1370]) ).
fof(f1416,plain,
( ! [X0] : product(sK2(sK0,sK1),X0) = product(sK2(sK0,sK1),product(sK1,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1341]) ).
fof(f3040,plain,
( sK0 = product(sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f3033,f50]) ).
fof(f3039,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK1))) = product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f3033,f52]) ).
fof(f3038,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))) = product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f3033,f51]) ).
fof(f3037,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))) = product(sK2(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f3033,f53]) ).
fof(f3033,plain,
( d(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f2247,f141]) ).
fof(f3035,plain,
( ! [X0] :
( d(sK0,product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| sK2(sK0,sK2(sK0,sK2(sK0,sK1))) != product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f2247,f392]) ).
fof(f3036,plain,
( d(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3034,f677]) ).
fof(f3034,plain,
( d(sK0,product(sK2(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f2247,f531]) ).
fof(f2247,plain,
( ! [X0] :
( ~ l(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f2239,f38]) ).
fof(f3031,plain,
( sK0 = product(sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f3023,f50]) ).
fof(f3030,plain,
( product(sK0,sK2(sK0,sK2(sK0,sK1))) = product(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f3023,f52]) ).
fof(f3029,plain,
( sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))) = product(sK0,sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f3023,f51]) ).
fof(f3028,plain,
( sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))) = product(sK2(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1)))),product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f3023,f53]) ).
fof(f3023,plain,
( d(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1613,f141]) ).
fof(f3027,plain,
( ! [X0] :
( product(sK0,sK2(sK0,sK2(sK0,sK1))) != product(sK0,product(sK2(sK0,sK2(sK0,sK1)),X0))
| d(sK0,product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1))))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3025,f39]) ).
fof(f3025,plain,
( ! [X0] :
( d(sK0,product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| product(sK0,sK2(sK0,sK2(sK0,sK1))) != product(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1613,f392]) ).
fof(f3026,plain,
( d(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3024,f677]) ).
fof(f3024,plain,
( d(sK0,product(sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,sK2(sK0,sK2(sK0,sK1)))),product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f1613,f531]) ).
fof(f1613,plain,
( ! [X0] :
( ~ l(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1605,f38]) ).
fof(f3020,plain,
( ! [X0] :
( ~ l(sK0,X0)
| product(sK0,sK2(sK0,sK2(sK0,sK1))) = product(sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0),product(sK0,sK2(sK0,sK2(sK0,sK1)))) )
| ~ spl3_1 ),
inference(resolution,[],[f1553,f50]) ).
fof(f3019,plain,
( ! [X0] :
( ~ l(sK0,X0)
| product(X0,sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0)) = X0 )
| ~ spl3_1 ),
inference(resolution,[],[f1553,f52]) ).
fof(f3021,plain,
( ! [X0] :
( sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0) = product(sK0,product(sK2(sK0,sK2(sK0,sK1)),sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0)))
| ~ l(sK0,X0) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f3018,f39]) ).
fof(f3018,plain,
( ! [X0] :
( ~ l(sK0,X0)
| sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0) = product(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f1553,f51]) ).
fof(f3017,plain,
( ! [X0] :
( ~ l(sK0,X0)
| sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0) = product(sK2(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1553,f53]) ).
fof(f1553,plain,
( ! [X0] :
( d(product(sK0,sK2(sK0,sK2(sK0,sK1))),X0)
| ~ l(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1547,f38]) ).
fof(f3016,plain,
! [X2,X0,X1] : l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f3015,f29]) ).
fof(f3015,plain,
! [X2,X0,X1] : l(product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2874,f39]) ).
fof(f2874,plain,
! [X2,X0,X1] : l(product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(superposition,[],[f1227,f99]) ).
fof(f3014,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,product(X2,product(X0,X1))))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f3013,f39]) ).
fof(f3013,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(product(X1,X2),product(X0,X1)))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f3012,f39]) ).
fof(f3012,plain,
! [X2,X0,X1] : r(product(X2,product(product(X0,product(X1,X2)),product(X0,X1))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f3011,f39]) ).
fof(f3011,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f3010,f29]) ).
fof(f3010,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f2873,f39]) ).
fof(f2873,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2)))),
inference(superposition,[],[f1008,f99]) ).
fof(f3009,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))))),
inference(forward_demodulation,[],[f3008,f39]) ).
fof(f3008,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),product(X0,X1))))))),
inference(forward_demodulation,[],[f3007,f39]) ).
fof(f3007,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))))),
inference(forward_demodulation,[],[f3006,f39]) ).
fof(f3006,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),product(X0,X1))))),
inference(forward_demodulation,[],[f2872,f39]) ).
fof(f2872,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),product(X0,X1)))),
inference(superposition,[],[f1008,f99]) ).
fof(f3005,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,product(X0,X1))))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f3004,f39]) ).
fof(f3004,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),product(X0,X1)))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f3003,f39]) ).
fof(f3003,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),product(X0,X1))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f3002,f39]) ).
fof(f3002,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2871,f39]) ).
fof(f2871,plain,
! [X2,X0,X1] : r(product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))),product(X0,product(X1,X2))),
inference(superposition,[],[f1002,f99]) ).
fof(f3001,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))),
inference(forward_demodulation,[],[f3000,f29]) ).
fof(f3000,plain,
! [X2,X0,X1] : r(product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))),product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))),
inference(forward_demodulation,[],[f2999,f39]) ).
fof(f2999,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))),
inference(forward_demodulation,[],[f2998,f39]) ).
fof(f2998,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X2,product(X0,product(product(X1,X2),product(X0,X1))))),
inference(forward_demodulation,[],[f2997,f39]) ).
fof(f2997,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))),
inference(forward_demodulation,[],[f2870,f39]) ).
fof(f2870,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))),
inference(superposition,[],[f1002,f99]) ).
fof(f2996,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))),
inference(forward_demodulation,[],[f2995,f39]) ).
fof(f2995,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(X2,product(X0,product(product(X1,X2),product(X0,X1))))),
inference(forward_demodulation,[],[f2994,f39]) ).
fof(f2994,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))),
inference(forward_demodulation,[],[f2993,f39]) ).
fof(f2993,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))),
inference(trivial_inequality_removal,[],[f2992]) ).
fof(f2992,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))) ),
inference(forward_demodulation,[],[f2991,f29]) ).
fof(f2991,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| r(product(X2,product(X0,product(X1,X2))),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))) ),
inference(forward_demodulation,[],[f2869,f39]) ).
fof(f2869,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(product(X2,product(X0,product(X1,X2))),product(X0,X1))) ),
inference(superposition,[],[f603,f99]) ).
fof(f2990,plain,
! [X2,X0,X1] : l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f93,f50,f52,f54,f59,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1015,f959,f1080,f372,f1228,f1209,f27,f603,f1578,f1584,f1591,f1562,f1609,f81,f1923,f1926,f1864,f1875,f1876,f1882,f1934,f1935,f1936,f1896,f1898,f1899,f1948,f1952,f1954,f1957,f1962,f1966,f1969,f1971,f1974,f91,f2145,f2146,f2095,f2107,f2154,f2155,f2158,f2159,f2161,f2165,f2166,f2169,f2170,f2179,f2182,f2185,f2190,f2196,f2200,f2203,f2204,f2210,f2211,f1002,f2256,f2258,f2314,f2324,f2265,f2327,f2347,f2361,f2366,f2370,f1008,f2394,f2395,f2459,f2464,f2468,f2505,f2426,f2508,f2529,f1227,f2535,f2536,f2537,f2538,f2542,f2576,f2552,f99,f2884,f2885,f2777,f2886,f2890,f2894,f2791,f2798,f2905,f2907,f2910,f2911,f2803,f2804,f2913,f2916,f2817,f2926,f2928,f2931,f2835,f2842,f2846,f2849,f2944,f2945,f2950,f2951,f2954,f2955,f2958,f2964,f2861,f2965,f2968,f2971,f2976,f2982,f2986,f2989]) ).
fof(f2989,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2988,f39]) ).
fof(f2988,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(product(X1,X2),product(X0,X1))))
| l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2987,f39]) ).
fof(f2987,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))
| l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2868,f39]) ).
fof(f2868,plain,
! [X2,X0,X1] :
( l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(superposition,[],[f392,f99]) ).
fof(f2986,plain,
! [X2,X0,X1] : l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,product(X2,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2985,f39]) ).
fof(f2985,plain,
! [X2,X0,X1] : l(product(X2,product(X0,product(X1,X2))),product(product(X0,X1),product(X2,product(X0,product(X1,X2))))),
inference(trivial_inequality_removal,[],[f2984]) ).
fof(f2984,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(product(X0,X1),product(X2,product(X0,product(X1,X2))))) ),
inference(forward_demodulation,[],[f2983,f29]) ).
fof(f2983,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| l(product(X2,product(X0,product(X1,X2))),product(product(X0,X1),product(X2,product(X0,product(X1,X2))))) ),
inference(forward_demodulation,[],[f2867,f39]) ).
fof(f2867,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(product(X0,X1),product(X2,product(X0,product(X1,X2))))) ),
inference(superposition,[],[f372,f99]) ).
fof(f2982,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,product(X2,product(X0,X1))))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2981,f39]) ).
fof(f2981,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(product(X1,X2),product(X0,X1)))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2980,f39]) ).
fof(f2980,plain,
! [X2,X0,X1] : r(product(X2,product(product(X0,product(X1,X2)),product(X0,X1))),product(X2,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2979,f39]) ).
fof(f2979,plain,
! [X2,X0,X1] : r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(X0,product(X1,X2)))),
inference(trivial_inequality_removal,[],[f2978]) ).
fof(f2978,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,X2)))
| r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2977,f29]) ).
fof(f2977,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2866,f39]) ).
fof(f2866,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| r(product(product(X2,product(X0,product(X1,X2))),product(X0,X1)),product(X2,product(X0,product(X1,X2)))) ),
inference(superposition,[],[f176,f99]) ).
fof(f2976,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))) != X3
| r(X3,product(X0,product(X1,product(X2,product(X0,product(X1,X2))))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2975,f39]) ).
fof(f2975,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3))))) != X3
| r(X3,product(X0,product(X1,product(X2,product(X0,product(X1,X2))))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2974,f39]) ).
fof(f2974,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3)))) != X3
| r(X3,product(X0,product(X1,product(X2,product(X0,product(X1,X2))))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2973,f39]) ).
fof(f2973,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3))) != X3
| r(X3,product(X0,product(X1,product(X2,product(X0,product(X1,X2))))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2972,f39]) ).
fof(f2972,plain,
! [X2,X3,X0,X1] :
( r(X3,product(X0,product(X1,product(X2,product(X0,product(X1,X2))))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)) != X3 ),
inference(forward_demodulation,[],[f2865,f39]) ).
fof(f2865,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| r(X3,product(product(X0,X1),product(X2,product(X0,product(X1,X2)))))
| product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)) != X3 ),
inference(superposition,[],[f168,f99]) ).
fof(f2971,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| l(product(X0,product(X1,X2)),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2970,f39]) ).
fof(f2970,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(product(X1,X2),product(X0,X1))))
| l(product(X0,product(X1,X2)),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2969,f39]) ).
fof(f2969,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))
| l(product(X0,product(X1,X2)),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2864,f39]) ).
fof(f2864,plain,
! [X2,X0,X1] :
( l(product(X0,product(X1,X2)),product(X2,product(X0,product(X1,X2))))
| product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(superposition,[],[f150,f99]) ).
fof(f2968,plain,
! [X2,X3,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,product(X2,product(X3,product(X0,X1))))))
| product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,X1))) ),
inference(forward_demodulation,[],[f2967,f39]) ).
fof(f2967,plain,
! [X2,X3,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(product(X1,X2),product(X3,product(X0,X1)))))
| product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,X1))) ),
inference(forward_demodulation,[],[f2966,f39]) ).
fof(f2966,plain,
! [X2,X3,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X3,product(X0,X1))))
| product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,X1))) ),
inference(forward_demodulation,[],[f2863,f39]) ).
fof(f2863,plain,
! [X2,X3,X0,X1] :
( product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,X1)))
| product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,X1))) ),
inference(superposition,[],[f133,f99]) ).
fof(f2965,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(X0,product(X1,product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2862,f39]) ).
fof(f2862,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(product(X0,X1),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f91,f99]) ).
fof(f2861,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X3,product(X0,product(X1,X2)))),
inference(superposition,[],[f81,f99]) ).
fof(f2964,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3))))))),
inference(forward_demodulation,[],[f2963,f39]) ).
fof(f2963,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3))))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3)))))),
inference(forward_demodulation,[],[f2962,f39]) ).
fof(f2962,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3)))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3))))),
inference(forward_demodulation,[],[f2961,f39]) ).
fof(f2961,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3)))),
inference(forward_demodulation,[],[f2860,f39]) ).
fof(f2860,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)) = product(product(X0,product(X1,X2)),product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3))),
inference(superposition,[],[f81,f99]) ).
fof(f2958,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,X1),product(X2,product(X0,product(X1,product(X2,X3))))),
inference(forward_demodulation,[],[f2957,f39]) ).
fof(f2957,plain,
! [X2,X3,X0,X1] : product(X0,product(product(X1,X2),X3)) = product(product(X0,X1),product(X2,product(X0,product(product(X1,X2),X3)))),
inference(forward_demodulation,[],[f2956,f39]) ).
fof(f2956,plain,
! [X2,X3,X0,X1] : product(product(X0,product(X1,X2)),X3) = product(product(X0,X1),product(X2,product(product(X0,product(X1,X2)),X3))),
inference(forward_demodulation,[],[f2857,f39]) ).
fof(f2857,plain,
! [X2,X3,X0,X1] : product(product(X0,product(X1,X2)),X3) = product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)),
inference(superposition,[],[f39,f99]) ).
fof(f2955,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(inner_rewriting,[],[f2954]) ).
fof(f2954,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2953,f39]) ).
fof(f2953,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(product(X1,X2),product(X0,X1))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2952,f39]) ).
fof(f2952,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2856,f39]) ).
fof(f2856,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X2,product(X0,product(X1,X2))),product(X0,X1))
| product(X0,X1) != product(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(superposition,[],[f35,f99]) ).
fof(f2951,plain,
! [X2,X0,X1] :
( product(X2,product(X0,X1)) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X2,product(X0,X1)),product(X0,X1)) ),
inference(inner_rewriting,[],[f2950]) ).
fof(f2950,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2949,f39]) ).
fof(f2949,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(X0,product(product(X1,X2),product(X0,X1))))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2948,f39]) ).
fof(f2948,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != product(X2,product(product(X0,product(X1,X2)),product(X0,X1)))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(forward_demodulation,[],[f2855,f39]) ).
fof(f2855,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,X2))
| l(product(X2,product(X0,product(X1,X2))),product(X0,X1))
| product(X2,product(X0,product(X1,X2))) != product(product(X2,product(X0,product(X1,X2))),product(X0,X1)) ),
inference(superposition,[],[f32,f99]) ).
fof(f2945,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X0,X1),product(X0,product(X1,X2))) ),
inference(inner_rewriting,[],[f2944]) ).
fof(f2944,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(X1,product(X2,product(X0,X1)))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X0,X1),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2943,f39]) ).
fof(f2943,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,product(product(X1,X2),product(X0,X1))))
| product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X0,X1),product(X2,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2853,f39]) ).
fof(f2853,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X2,product(X0,product(X1,X2)))
| r(product(X0,X1),product(X2,product(X0,product(X1,X2))))
| product(X0,X1) != product(X2,product(product(X0,product(X1,X2)),product(X0,X1))) ),
inference(superposition,[],[f168,f99]) ).
fof(f2849,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X2,product(X0,product(X1,X2))))),
inference(superposition,[],[f39,f99]) ).
fof(f2846,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X2,product(X0,product(X1,X2))))),
inference(superposition,[],[f99,f39]) ).
fof(f2843,plain,
( ! [X0] : product(sK2(sK0,sK1),product(X0,sK1)) = product(product(sK2(sK0,sK1),X0),product(sK1,product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1351]) ).
fof(f2842,plain,
! [X2,X3,X0,X1] : product(X2,product(X3,product(X0,X1))) = product(product(X2,X3),product(X0,product(X1,product(X2,product(X3,product(X0,X1)))))),
inference(superposition,[],[f99,f39]) ).
fof(f2835,plain,
! [X0,X1] : product(X0,X1) = product(product(sK2(product(X0,X1),product(X0,X1)),X0),product(X1,product(X0,X1))),
inference(superposition,[],[f99,f677]) ).
fof(f2931,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,X3))))),
inference(forward_demodulation,[],[f2831,f39]) ).
fof(f2831,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(product(X0,X1),X2),product(X3,product(X0,product(X1,product(X2,X3))))),
inference(superposition,[],[f99,f39]) ).
fof(f2928,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,product(X1,X0)),product(X1,product(X2,product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f2927,f39]) ).
fof(f2927,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(product(X0,X1),X0),product(X1,product(X2,product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f2829,f39]) ).
fof(f2829,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(product(X0,X1),X0),product(product(X1,X2),product(X0,product(X1,X2)))),
inference(superposition,[],[f99,f81]) ).
fof(f2926,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,product(X1,X0)),product(X1,product(X0,X1))),
inference(forward_demodulation,[],[f2828,f39]) ).
fof(f2828,plain,
! [X0,X1] : product(X0,X1) = product(product(product(X0,X1),X0),product(X1,product(X0,X1))),
inference(superposition,[],[f99,f29]) ).
fof(f2823,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),product(sK0,product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1624]) ).
fof(f2822,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK2(sK0,sK1))),product(sK0,product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1412]) ).
fof(f2821,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK2(sK1,sK2(sK0,sK1))),product(sK1,product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1373]) ).
fof(f2920,plain,
( ! [X0,X1] : product(X1,product(sK0,X0)) = product(product(X1,sK2(sK0,sK1)),product(sK0,product(X0,product(X1,product(sK0,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2820,f39]) ).
fof(f2820,plain,
( ! [X0,X1] : product(X1,product(sK0,X0)) = product(product(X1,sK2(sK0,sK1)),product(product(sK0,X0),product(X1,product(sK0,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1379]) ).
fof(f2819,plain,
( ! [X0] : product(X0,sK2(sK0,sK1)) = product(product(X0,sK2(sK0,sK1)),product(sK1,product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1341]) ).
fof(f2818,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK1)),product(sK0,product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1344]) ).
fof(f2817,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,sK2(X0,X0)),product(X0,product(X1,X0))),
inference(superposition,[],[f99,f677]) ).
fof(f2919,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK1),product(sK2(sK2(sK0,sK1),sK1),product(sK1,product(X0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2816,f39]) ).
fof(f2816,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK1),product(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1495]) ).
fof(f2918,plain,
( ! [X0,X1] : product(X1,product(sK1,X0)) = product(product(X1,sK1),product(sK2(sK0,sK1),product(X0,product(X1,product(sK1,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2815,f39]) ).
fof(f2815,plain,
( ! [X0,X1] : product(X1,product(sK1,X0)) = product(product(X1,sK1),product(product(sK2(sK0,sK1),X0),product(X1,product(sK1,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1351]) ).
fof(f2814,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK1),product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1651]) ).
fof(f2813,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK1),product(sK2(sK2(sK0,sK1),sK1),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1370]) ).
fof(f2812,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK1),product(sK2(sK0,sK1),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1343]) ).
fof(f2917,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK0),product(sK2(sK2(sK0,sK1),sK0),product(sK0,product(X0,sK0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2811,f39]) ).
fof(f2811,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK0),product(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f2609]) ).
fof(f2810,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK0),product(sK2(sK2(sK0,sK1),sK0),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f2598]) ).
fof(f2809,plain,
( ! [X0] : product(X0,sK2(sK0,sK1)) = product(product(X0,sK0),product(sK2(sK0,sK1),product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1342]) ).
fof(f2808,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1)))),product(sK1,product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1529]) ).
fof(f2807,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1)))),product(sK0,product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1555]) ).
fof(f2916,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X2,product(X0,product(X1,product(X2,product(X3,product(X0,product(X1,X2)))))))),
inference(forward_demodulation,[],[f2915,f39]) ).
fof(f2915,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X2,product(X0,product(product(X1,X2),product(X3,product(X0,product(X1,X2))))))),
inference(forward_demodulation,[],[f2914,f39]) ).
fof(f2914,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X2,product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2806,f39]) ).
fof(f2806,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(product(X2,product(X0,product(X1,X2))),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f99,f99]) ).
fof(f2913,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X0,product(X1,product(X2,product(X3,product(X0,product(X1,X2))))))),
inference(forward_demodulation,[],[f2912,f39]) ).
fof(f2912,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X0,product(product(X1,X2),product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2805,f39]) ).
fof(f2805,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f99,f81]) ).
fof(f2804,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X2,product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f99,f39]) ).
fof(f2803,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,X0),product(sK2(X0,X0),product(X1,X0))),
inference(superposition,[],[f99,f314]) ).
fof(f2911,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,X0),product(sK2(X0,X0),product(X0,product(X1,X0)))),
inference(forward_demodulation,[],[f2802,f39]) ).
fof(f2802,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,X0),product(product(sK2(X0,X0),X0),product(X1,X0))),
inference(superposition,[],[f99,f421]) ).
fof(f2910,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,X0),product(X1,product(X0,product(X1,product(X2,product(X3,product(X0,product(X1,X2)))))))),
inference(forward_demodulation,[],[f2909,f39]) ).
fof(f2909,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,X0),product(X1,product(X0,product(product(X1,X2),product(X3,product(X0,product(X1,X2))))))),
inference(forward_demodulation,[],[f2908,f39]) ).
fof(f2908,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,X0),product(X1,product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2801,f39]) ).
fof(f2801,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,X0),product(product(X1,product(X0,product(X1,X2))),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f99,f91]) ).
fof(f2907,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(product(X2,X0),product(X1,product(X0,product(X1,product(X2,product(X0,X1)))))),
inference(forward_demodulation,[],[f2906,f39]) ).
fof(f2906,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(product(X2,X0),product(X1,product(product(X0,X1),product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2800,f39]) ).
fof(f2800,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(product(X2,X0),product(product(X1,product(X0,X1)),product(X2,product(X0,X1)))),
inference(superposition,[],[f99,f59]) ).
fof(f2905,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(product(X2,X0),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2799,f39]) ).
fof(f2799,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(product(X2,X0),product(product(X0,X1),product(X2,product(X0,X1)))),
inference(superposition,[],[f99,f55]) ).
fof(f2798,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,X0),product(X0,product(X1,X0))),
inference(superposition,[],[f99,f29]) ).
fof(f2797,plain,
( ! [X0] : product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) = product(sK0,product(X0,product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1624]) ).
fof(f2796,plain,
( ! [X0] : product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)) = product(sK0,product(X0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1412]) ).
fof(f2795,plain,
( ! [X0] : product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)) = product(sK1,product(X0,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1373]) ).
fof(f2793,plain,
( ! [X0] : product(sK2(sK0,sK1),product(sK1,X0)) = product(sK2(sK0,sK1),product(X0,product(sK2(sK0,sK1),product(sK1,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1341]) ).
fof(f2791,plain,
! [X0,X1] : product(sK2(X0,X0),product(X0,X1)) = product(X0,product(X1,product(sK2(X0,X0),product(X0,X1)))),
inference(superposition,[],[f99,f677]) ).
fof(f2901,plain,
( ! [X0] : product(sK1,product(sK2(sK2(sK0,sK1),sK1),product(sK1,X0))) = product(sK1,product(X0,product(sK1,product(sK2(sK2(sK0,sK1),sK1),product(sK1,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2790,f39]) ).
fof(f2790,plain,
( ! [X0] : product(sK1,product(product(sK2(sK2(sK0,sK1),sK1),sK1),X0)) = product(sK1,product(X0,product(sK1,product(product(sK2(sK2(sK0,sK1),sK1),sK1),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1495]) ).
fof(f2788,plain,
( ! [X0] : product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),X0)) = product(sK1,product(X0,product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1651]) ).
fof(f2787,plain,
( ! [X0] : product(sK1,product(sK2(sK2(sK0,sK1),sK1),X0)) = product(sK1,product(X0,product(sK1,product(sK2(sK2(sK0,sK1),sK1),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1370]) ).
fof(f2897,plain,
( ! [X0] : product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,X0))) = product(sK0,product(X0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2785,f39]) ).
fof(f2785,plain,
( ! [X0] : product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),X0)) = product(sK0,product(X0,product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f2609]) ).
fof(f2784,plain,
( ! [X0] : product(sK0,product(sK2(sK2(sK0,sK1),sK0),X0)) = product(sK0,product(X0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f2598]) ).
fof(f2783,plain,
( ! [X0] : product(sK0,product(sK2(sK0,sK1),X0)) = product(sK2(sK0,sK1),product(X0,product(sK0,product(sK2(sK0,sK1),X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1342]) ).
fof(f2896,plain,
( ! [X0] : product(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0))) = product(sK1,product(X0,product(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2782,f39]) ).
fof(f2782,plain,
( ! [X0] : product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0)) = product(sK1,product(X0,product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1529]) ).
fof(f2895,plain,
( ! [X0] : product(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0))) = product(sK0,product(X0,product(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2781,f39]) ).
fof(f2781,plain,
( ! [X0] : product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) = product(sK0,product(X0,product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f99,f1555]) ).
fof(f2894,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))))),
inference(forward_demodulation,[],[f2893,f39]) ).
fof(f2893,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3))))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,product(X0,product(product(X1,X2),X3))))))),
inference(forward_demodulation,[],[f2892,f39]) ).
fof(f2892,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3)))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,product(product(X0,product(X1,X2)),X3)))))),
inference(forward_demodulation,[],[f2891,f39]) ).
fof(f2891,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(product(X2,product(X0,product(X1,X2))),X3))))),
inference(forward_demodulation,[],[f2780,f39]) ).
fof(f2780,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)) = product(product(X0,product(X1,X2)),product(X3,product(product(X0,X1),product(product(X2,product(X0,product(X1,X2))),X3)))),
inference(superposition,[],[f99,f99]) ).
fof(f2890,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,X3))))),
inference(forward_demodulation,[],[f2889,f91]) ).
fof(f2889,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X0,product(X1,product(X2,X3))))))),
inference(forward_demodulation,[],[f2888,f39]) ).
fof(f2888,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X0,product(product(X1,X2),X3)))))),
inference(forward_demodulation,[],[f2887,f39]) ).
fof(f2887,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(product(X0,product(X1,X2)),X3))))),
inference(forward_demodulation,[],[f2779,f39]) ).
fof(f2779,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(product(X0,product(X1,X2)),X3)) = product(product(X0,product(X1,X2)),product(X3,product(product(X0,X1),product(product(X0,product(X1,X2)),X3)))),
inference(superposition,[],[f99,f81]) ).
fof(f2886,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,X3))))),
inference(forward_demodulation,[],[f2778,f39]) ).
fof(f2778,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(product(X0,product(X1,X2)),product(X3,product(product(X0,X1),product(X2,X3)))),
inference(superposition,[],[f99,f39]) ).
fof(f2777,plain,
! [X0,X1] : product(X0,product(sK2(X0,X0),X1)) = product(X0,product(X1,product(X0,product(sK2(X0,X0),X1)))),
inference(superposition,[],[f99,f314]) ).
fof(f2885,plain,
! [X0,X1] : product(X0,product(sK2(X0,X0),product(X0,X1))) = product(X0,product(X1,product(X0,product(sK2(X0,X0),product(X0,X1))))),
inference(forward_demodulation,[],[f2776,f39]) ).
fof(f2776,plain,
! [X0,X1] : product(X0,product(product(sK2(X0,X0),X0),X1)) = product(X0,product(X1,product(X0,product(product(sK2(X0,X0),X0),X1)))),
inference(superposition,[],[f99,f421]) ).
fof(f2884,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X2,X3))))),
inference(forward_demodulation,[],[f2883,f91]) ).
fof(f2883,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X0,product(X1,product(X2,X3))))))),
inference(forward_demodulation,[],[f2882,f39]) ).
fof(f2882,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(X0,product(product(X1,X2),X3)))))),
inference(forward_demodulation,[],[f2881,f39]) ).
fof(f2881,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(X1,product(product(X0,product(X1,X2)),X3))))),
inference(forward_demodulation,[],[f2775,f39]) ).
fof(f2775,plain,
! [X2,X3,X0,X1] : product(X0,product(product(X1,product(X0,product(X1,X2))),X3)) = product(product(X0,product(X1,X2)),product(X3,product(X0,product(product(X1,product(X0,product(X1,X2))),X3)))),
inference(superposition,[],[f99,f91]) ).
fof(f99,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,X1),product(X2,product(X0,product(X1,X2)))),
inference(superposition,[],[f59,f39]) ).
fof(f2735,plain,
( sK1 != sK2(sK1,sK2(sK0,sK1))
| d(sK1,sK1)
| ~ spl3_1 ),
inference(inner_rewriting,[],[f2734]) ).
fof(f2741,plain,
( sK1 = product(sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f2731,f50]) ).
fof(f2740,plain,
( product(sK1,sK2(sK1,sK2(sK0,sK1))) = product(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f2731,f52]) ).
fof(f2739,plain,
( sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))) = product(sK1,sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f2731,f51]) ).
fof(f2738,plain,
( sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))) = product(sK2(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1)))),product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f2731,f53]) ).
fof(f2731,plain,
( d(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1610,f141]) ).
fof(f2737,plain,
( ! [X0] :
( product(sK1,sK2(sK1,sK2(sK0,sK1))) != product(sK1,product(sK2(sK1,sK2(sK0,sK1)),X0))
| d(sK1,product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1))))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2733,f39]) ).
fof(f2733,plain,
( ! [X0] :
( d(sK1,product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| product(sK1,sK2(sK1,sK2(sK0,sK1))) != product(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1610,f392]) ).
fof(f2736,plain,
( d(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2732,f677]) ).
fof(f2732,plain,
( d(sK1,product(sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,sK2(sK1,sK2(sK0,sK1)))),product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(resolution,[],[f1610,f531]) ).
fof(f2734,plain,
( sK1 != sK2(sK1,sK2(sK0,sK1))
| d(sK1,sK2(sK1,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2730,f1373]) ).
fof(f2730,plain,
( d(sK1,sK2(sK1,sK2(sK0,sK1)))
| sK2(sK1,sK2(sK0,sK1)) != product(sK2(sK1,sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1610,f150]) ).
fof(f1610,plain,
( ! [X0] :
( ~ l(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0)
| d(sK1,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1604,f38]) ).
fof(f2728,plain,
( ! [X0] :
( ~ l(sK1,X0)
| product(sK1,sK2(sK1,sK2(sK0,sK1))) = product(sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0),product(sK1,sK2(sK1,sK2(sK0,sK1)))) )
| ~ spl3_1 ),
inference(resolution,[],[f1527,f50]) ).
fof(f2727,plain,
( ! [X0] :
( ~ l(sK1,X0)
| product(X0,sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0)) = X0 )
| ~ spl3_1 ),
inference(resolution,[],[f1527,f52]) ).
fof(f2729,plain,
( ! [X0] :
( sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0) = product(sK1,product(sK2(sK1,sK2(sK0,sK1)),sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0)))
| ~ l(sK1,X0) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2726,f39]) ).
fof(f2726,plain,
( ! [X0] :
( ~ l(sK1,X0)
| sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0) = product(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f1527,f51]) ).
fof(f2725,plain,
( ! [X0] :
( ~ l(sK1,X0)
| sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0) = product(sK2(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1527,f53]) ).
fof(f1527,plain,
( ! [X0] :
( d(product(sK1,sK2(sK1,sK2(sK0,sK1))),X0)
| ~ l(sK1,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1523,f38]) ).
fof(f2721,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) = product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f2643,f31]) ).
fof(f2720,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) = product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK2(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0)))
| ~ spl3_1 ),
inference(resolution,[],[f2643,f208]) ).
fof(f2719,plain,
( sK0 = product(sK2(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0)),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f2643,f209]) ).
fof(f2718,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) = product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK2(sK2(sK0,sK1),product(sK2(sK2(sK0,sK1),sK0),sK0)))
| ~ spl3_1 ),
inference(resolution,[],[f2643,f1487]) ).
fof(f2643,plain,
( l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(superposition,[],[f1227,f2609]) ).
fof(f2699,plain,
( ! [X0] :
( product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,X0))) != X0
| r(X0,sK0)
| sK0 != product(X0,sK0) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2698,f39]) ).
fof(f2698,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2658,f2609]) ).
fof(f2658,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0)))
| product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f2609]) ).
fof(f2697,plain,
( l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2696]) ).
fof(f2696,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2695,f29]) ).
fof(f2695,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) != product(sK2(sK2(sK0,sK1),sK0),product(sK0,sK0))
| l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2657,f39]) ).
fof(f2657,plain,
( l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| product(sK2(sK2(sK0,sK1),sK0),sK0) != product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f150,f2609]) ).
fof(f2694,plain,
( ! [X0] :
( product(sK2(sK2(sK0,sK1),sK0),sK0) != product(sK2(sK2(sK0,sK1),sK0),product(sK0,product(X0,sK0)))
| l(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2668,f39]) ).
fof(f2668,plain,
( ! [X0] :
( l(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0))
| product(sK2(sK2(sK0,sK1),sK0),sK0) != product(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2656]) ).
fof(f2656,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK0)
| l(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0))
| product(sK2(sK2(sK0,sK1),sK0),sK0) != product(product(sK2(sK2(sK0,sK1),sK0),sK0),product(X0,sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f2609]) ).
fof(f2691,plain,
( ! [X0] : product(sK0,X0) = product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,X0)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2650,f39]) ).
fof(f2650,plain,
( ! [X0] : product(sK0,X0) = product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f2609]) ).
fof(f2689,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f2688]) ).
fof(f2688,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2687,f29]) ).
fof(f2687,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),product(sK0,sK0))
| sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2649,f39]) ).
fof(f2649,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| sK0 != product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f35,f2609]) ).
fof(f2683,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f2682]) ).
fof(f2682,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2646,f29]) ).
fof(f2646,plain,
( sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| sK0 != product(sK2(sK2(sK0,sK1),sK0),product(sK0,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f168,f2609]) ).
fof(f2671,plain,
( l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2639]) ).
fof(f2639,plain,
( sK0 != sK0
| l(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(superposition,[],[f372,f2609]) ).
fof(f2676,plain,
( r(product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2675,f1342]) ).
fof(f2675,plain,
( r(product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2636,f39]) ).
fof(f2636,plain,
( r(product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1728,f2609]) ).
fof(f2674,plain,
( r(sK0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2673,f1342]) ).
fof(f2673,plain,
( r(sK0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),product(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2635,f39]) ).
fof(f2635,plain,
( r(sK0,product(sK0,product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f2609]) ).
fof(f2609,plain,
( sK0 = product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(superposition,[],[f59,f2598]) ).
fof(f2634,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) = product(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f2624,f30]) ).
fof(f2633,plain,
( sK0 = product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(resolution,[],[f2624,f31]) ).
fof(f2632,plain,
( sK0 = product(sK0,sK2(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0))
| ~ spl3_1 ),
inference(resolution,[],[f2624,f208]) ).
fof(f2631,plain,
( product(sK2(sK2(sK0,sK1),sK0),sK0) = product(sK2(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0),product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(resolution,[],[f2624,f209]) ).
fof(f2624,plain,
( l(product(sK2(sK2(sK0,sK1),sK0),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1227,f2598]) ).
fof(f2622,plain,
( r(sK0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f2598]) ).
fof(f2621,plain,
( r(product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK0)),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1002,f2598]) ).
fof(f2619,plain,
( sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(sK2(sK2(sK0,sK1),sK0),product(sK2(sK2(sK0,sK1),sK0),sK0))
| ~ spl3_1 ),
inference(superposition,[],[f603,f2598]) ).
fof(f2618,plain,
( l(sK2(sK2(sK0,sK1),sK0),sK0)
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f392,f2598]) ).
fof(f2616,plain,
( sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| r(product(sK2(sK2(sK0,sK1),sK0),sK0),sK2(sK2(sK0,sK1),sK0))
| ~ spl3_1 ),
inference(superposition,[],[f176,f2598]) ).
fof(f2628,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(sK0,product(sK2(sK2(sK0,sK1),sK0),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2615,f2598]) ).
fof(f2615,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(sK0,sK2(sK2(sK0,sK1),sK0)))
| product(sK0,product(sK2(sK2(sK0,sK1),sK0),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f2598]) ).
fof(f2614,plain,
( l(sK0,sK2(sK2(sK0,sK1),sK0))
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f150,f2598]) ).
fof(f2625,plain,
( ! [X0] :
( l(sK2(sK2(sK0,sK1),sK0),product(X0,sK0))
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),product(X0,sK0)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2613]) ).
fof(f2613,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK0)
| l(sK2(sK2(sK0,sK1),sK0),product(X0,sK0))
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),product(X0,sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f2598]) ).
fof(f2607,plain,
( ! [X0] : product(sK0,X0) = product(sK0,product(sK2(sK2(sK0,sK1),sK0),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f2598]) ).
fof(f2606,plain,
( sK0 != sK2(sK2(sK0,sK1),sK0)
| r(sK2(sK2(sK0,sK1),sK0),sK0)
| sK0 != product(sK2(sK2(sK0,sK1),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f35,f2598]) ).
fof(f2626,plain,
( l(sK2(sK2(sK0,sK1),sK0),sK0)
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2605]) ).
fof(f2605,plain,
( sK0 != sK0
| l(sK2(sK2(sK0,sK1),sK0),sK0)
| sK2(sK2(sK0,sK1),sK0) != product(sK2(sK2(sK0,sK1),sK0),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f32,f2598]) ).
fof(f2603,plain,
( r(product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1728,f2598]) ).
fof(f2602,plain,
( r(sK0,product(sK0,product(sK2(sK2(sK0,sK1),sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f2598]) ).
fof(f2598,plain,
( sK0 = product(sK0,sK2(sK2(sK0,sK1),sK0))
| ~ spl3_1 ),
inference(resolution,[],[f1487,f141]) ).
fof(f2600,plain,
( ! [X0] :
( product(X0,sK0) = product(product(X0,sK0),sK2(sK2(sK0,sK1),product(X0,sK0)))
| sK0 != product(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1487,f392]) ).
fof(f2601,plain,
( sK0 = product(sK0,sK2(sK2(sK0,sK1),sK0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2599,f677]) ).
fof(f2599,plain,
( product(sK2(sK0,sK0),sK0) = product(product(sK2(sK0,sK0),sK0),sK2(sK2(sK0,sK1),product(sK2(sK0,sK0),sK0)))
| ~ spl3_1 ),
inference(resolution,[],[f1487,f531]) ).
fof(f1487,plain,
( ! [X0] :
( ~ l(sK0,X0)
| product(X0,sK2(sK2(sK0,sK1),X0)) = X0 )
| ~ spl3_1 ),
inference(resolution,[],[f1462,f52]) ).
fof(f2597,plain,
( product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1) = product(product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f2559,f30]) ).
fof(f2596,plain,
( sK1 = product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f2559,f31]) ).
fof(f2595,plain,
( sK1 = product(sK1,sK2(product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f2559,f208]) ).
fof(f2594,plain,
( product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1) = product(sK2(product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1),sK1),product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f2559,f209]) ).
fof(f2559,plain,
( l(product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f1227,f1651]) ).
fof(f2584,plain,
( ! [X0] : l(product(sK2(sK0,sK1),product(X0,product(sK1,X0))),product(sK1,X0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2560,f39]) ).
fof(f2560,plain,
( ! [X0] : l(product(product(sK2(sK0,sK1),X0),product(sK1,X0)),product(sK1,X0))
| ~ spl3_1 ),
inference(superposition,[],[f1227,f1351]) ).
fof(f2552,plain,
! [X2,X0,X1] : l(product(X2,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(superposition,[],[f1227,f39]) ).
fof(f2576,plain,
! [X2,X0,X1] : l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2575,f29]) ).
fof(f2575,plain,
! [X2,X0,X1] : l(product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2549,f39]) ).
fof(f2549,plain,
! [X2,X0,X1] : l(product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(superposition,[],[f1227,f91]) ).
fof(f2542,plain,
! [X2,X0,X1] : l(product(X0,product(X1,product(X2,product(X0,X1)))),product(X2,product(X0,X1))),
inference(superposition,[],[f1227,f39]) ).
fof(f2538,plain,
! [X0,X1] : product(X0,product(X1,X0)) = product(product(X0,product(X1,X0)),product(X1,X0)),
inference(resolution,[],[f1227,f30]) ).
fof(f2537,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,X1),product(X1,product(X0,X1))),
inference(resolution,[],[f1227,f31]) ).
fof(f2536,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,X1),sK2(product(X1,product(X0,X1)),product(X0,X1))),
inference(resolution,[],[f1227,f208]) ).
fof(f2535,plain,
! [X0,X1] : product(X0,product(X1,X0)) = product(sK2(product(X0,product(X1,X0)),product(X1,X0)),product(X0,product(X1,X0))),
inference(resolution,[],[f1227,f209]) ).
fof(f1227,plain,
! [X0,X1] : l(product(X1,product(X0,X1)),product(X0,X1)),
inference(forward_demodulation,[],[f1226,f59]) ).
fof(f1226,plain,
! [X0,X1] : l(product(X1,product(X0,X1)),product(X0,product(X1,product(X0,X1)))),
inference(trivial_inequality_removal,[],[f1225]) ).
fof(f1225,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| l(product(X1,product(X0,X1)),product(X0,product(X1,product(X0,X1)))) ),
inference(forward_demodulation,[],[f1224,f29]) ).
fof(f1224,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| l(product(X1,product(X0,X1)),product(X0,product(X1,product(X0,X1)))) ),
inference(forward_demodulation,[],[f1177,f39]) ).
fof(f1177,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X0,X1))
| l(product(X1,product(X0,X1)),product(X0,product(X1,product(X0,X1)))) ),
inference(superposition,[],[f372,f59]) ).
fof(f2529,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2446,f39]) ).
fof(f2446,plain,
! [X2,X0,X1] : r(product(product(X0,X1),X2),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(superposition,[],[f1008,f39]) ).
fof(f2516,plain,
( ! [X0] : r(product(sK2(sK0,sK1),product(X0,sK1)),product(sK2(sK0,sK1),product(X0,product(sK1,X0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2515,f39]) ).
fof(f2515,plain,
( ! [X0] : r(product(product(sK2(sK0,sK1),X0),sK1),product(sK2(sK0,sK1),product(X0,product(sK1,X0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2434,f39]) ).
fof(f2434,plain,
( ! [X0] : r(product(product(sK2(sK0,sK1),X0),sK1),product(product(sK2(sK0,sK1),X0),product(sK1,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f1351]) ).
fof(f2508,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2507,f39]) ).
fof(f2507,plain,
! [X2,X0,X1] : r(product(X0,product(product(X1,X2),product(X0,X1))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2506,f39]) ).
fof(f2506,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,X1)),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2427,f29]) ).
fof(f2427,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,X1)),product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))),
inference(superposition,[],[f1008,f81]) ).
fof(f2426,plain,
! [X2,X0,X1] : r(product(X2,product(X0,X1)),product(X2,product(X0,product(X1,X2)))),
inference(superposition,[],[f1008,f39]) ).
fof(f2505,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,product(X2,X0)))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2504,f39]) ).
fof(f2504,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(product(X1,X2),X0))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2503,f39]) ).
fof(f2503,plain,
! [X2,X0,X1] : r(product(X1,product(product(X0,product(X1,X2)),X0)),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2502,f39]) ).
fof(f2502,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2501,f29]) ).
fof(f2501,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f2423,f39]) ).
fof(f2423,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),X0),product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))),
inference(superposition,[],[f1008,f91]) ).
fof(f2419,plain,
( r(sK0,product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f1624]) ).
fof(f2418,plain,
( r(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f1412]) ).
fof(f2417,plain,
( r(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f1373]) ).
fof(f2410,plain,
( r(sK1,product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f1008,f1651]) ).
fof(f2468,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2467,f91]) ).
fof(f2467,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(X1,product(X2,product(X0,X1))))))),
inference(forward_demodulation,[],[f2466,f39]) ).
fof(f2466,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(product(X1,X2),product(X0,X1)))))),
inference(forward_demodulation,[],[f2465,f39]) ).
fof(f2465,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X0,product(X1,X2)),product(X0,X1))))),
inference(forward_demodulation,[],[f2404,f39]) ).
fof(f2404,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(product(X0,X1),product(product(X0,product(X1,X2)),product(X0,X1)))),
inference(superposition,[],[f1008,f81]) ).
fof(f2464,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2403,f39]) ).
fof(f2403,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(product(X0,X1),product(X2,product(X0,X1)))),
inference(superposition,[],[f1008,f39]) ).
fof(f2459,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,X0)))),
inference(forward_demodulation,[],[f2458,f91]) ).
fof(f2458,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(X1,product(X2,X0)))))),
inference(forward_demodulation,[],[f2457,f39]) ).
fof(f2457,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(product(X1,X2),X0))))),
inference(forward_demodulation,[],[f2456,f39]) ).
fof(f2456,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X0,product(X1,X2)),X0)))),
inference(forward_demodulation,[],[f2400,f39]) ).
fof(f2400,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(product(X1,product(X0,product(X1,X2))),X0))),
inference(superposition,[],[f1008,f91]) ).
fof(f2395,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,product(X1,X0)),product(X0,X1)),
inference(resolution,[],[f1008,f34]) ).
fof(f2394,plain,
! [X2,X0,X1] :
( ~ l(product(X0,product(X1,X0)),X2)
| d(product(X0,X1),X2) ),
inference(resolution,[],[f1008,f38]) ).
fof(f1008,plain,
! [X0,X1] : r(product(X1,X0),product(X1,product(X0,X1))),
inference(forward_demodulation,[],[f1007,f59]) ).
fof(f1007,plain,
! [X0,X1] : r(product(X1,product(X0,product(X1,X0))),product(X1,product(X0,X1))),
inference(forward_demodulation,[],[f1006,f39]) ).
fof(f1006,plain,
! [X0,X1] : r(product(X1,product(product(X0,X1),X0)),product(X1,product(X0,X1))),
inference(forward_demodulation,[],[f1005,f39]) ).
fof(f1005,plain,
! [X0,X1] : r(product(product(X1,product(X0,X1)),X0),product(X1,product(X0,X1))),
inference(trivial_inequality_removal,[],[f1004]) ).
fof(f1004,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| r(product(product(X1,product(X0,X1)),X0),product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f1003,f29]) ).
fof(f1003,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| r(product(product(X1,product(X0,X1)),X0),product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f956,f39]) ).
fof(f956,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X0,X1))
| r(product(product(X1,product(X0,X1)),X0),product(X1,product(X0,X1))) ),
inference(superposition,[],[f176,f59]) ).
fof(f2311,plain,
( r(product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1002,f1624]) ).
fof(f2310,plain,
( r(product(sK2(sK0,sK2(sK0,sK1)),product(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1002,f1412]) ).
fof(f2309,plain,
( r(product(sK2(sK1,sK2(sK0,sK1)),product(sK1,sK2(sK1,sK2(sK0,sK1)))),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f1002,f1373]) ).
fof(f2302,plain,
( r(product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f1002,f1651]) ).
fof(f2370,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2369,f91]) ).
fof(f2369,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X0,product(X1,product(X2,product(X0,X1)))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2368,f39]) ).
fof(f2368,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X0,product(product(X1,X2),product(X0,X1))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2367,f39]) ).
fof(f2367,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(product(X0,product(X1,X2)),product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2296,f39]) ).
fof(f2296,plain,
! [X2,X0,X1] : r(product(product(X0,X1),product(product(X0,product(X1,X2)),product(X0,X1))),product(X0,product(X1,X2))),
inference(superposition,[],[f1002,f81]) ).
fof(f2366,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2295,f39]) ).
fof(f2295,plain,
! [X2,X0,X1] : r(product(product(X0,X1),product(X2,product(X0,X1))),product(X0,product(X1,X2))),
inference(superposition,[],[f1002,f39]) ).
fof(f2361,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,X0))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2360,f91]) ).
fof(f2360,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X0,product(X1,product(X2,X0))))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2359,f39]) ).
fof(f2359,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X0,product(product(X1,X2),X0)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2358,f39]) ).
fof(f2358,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(product(X0,product(X1,X2)),X0))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2292,f39]) ).
fof(f2292,plain,
! [X2,X0,X1] : r(product(X0,product(product(X1,product(X0,product(X1,X2))),X0)),product(X0,product(X1,X2))),
inference(superposition,[],[f1002,f91]) ).
fof(f2347,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2285,f39]) ).
fof(f2285,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(product(X0,X1),X2)),
inference(superposition,[],[f1002,f39]) ).
fof(f2335,plain,
( ! [X0] : r(product(sK2(sK0,sK1),product(X0,product(sK1,X0))),product(sK2(sK0,sK1),product(X0,sK1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2334,f39]) ).
fof(f2334,plain,
( ! [X0] : r(product(product(sK2(sK0,sK1),X0),product(sK1,X0)),product(sK2(sK0,sK1),product(X0,sK1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2273,f39]) ).
fof(f2273,plain,
( ! [X0] : r(product(product(sK2(sK0,sK1),X0),product(sK1,X0)),product(product(sK2(sK0,sK1),X0),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f1002,f1351]) ).
fof(f2327,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2326,f29]) ).
fof(f2326,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,product(X1,X2))),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f2325,f39]) ).
fof(f2325,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,product(X1,X2))),product(X0,product(product(X1,X2),product(X0,X1)))),
inference(forward_demodulation,[],[f2266,f39]) ).
fof(f2266,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,product(X1,X2))),product(product(X0,product(X1,X2)),product(X0,X1))),
inference(superposition,[],[f1002,f81]) ).
fof(f2265,plain,
! [X2,X0,X1] : r(product(X2,product(X0,product(X1,X2))),product(X2,product(X0,X1))),
inference(superposition,[],[f1002,f39]) ).
fof(f2324,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,X2))),product(X1,product(X0,product(X1,product(X2,X0))))),
inference(forward_demodulation,[],[f2323,f29]) ).
fof(f2323,plain,
! [X2,X0,X1] : r(product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))),product(X1,product(X0,product(X1,product(X2,X0))))),
inference(forward_demodulation,[],[f2322,f39]) ).
fof(f2322,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X1,product(X0,product(X1,product(X2,X0))))),
inference(forward_demodulation,[],[f2321,f39]) ).
fof(f2321,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X1,product(X0,product(product(X1,X2),X0)))),
inference(forward_demodulation,[],[f2320,f39]) ).
fof(f2320,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(X1,product(product(X0,product(X1,X2)),X0))),
inference(forward_demodulation,[],[f2262,f39]) ).
fof(f2262,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),product(product(X1,product(X0,product(X1,X2))),X0)),
inference(superposition,[],[f1002,f91]) ).
fof(f2314,plain,
! [X0,X1] : r(product(X0,X1),product(X0,product(X1,X0))),
inference(forward_demodulation,[],[f2313,f29]) ).
fof(f2313,plain,
! [X0,X1] : r(product(product(X0,X1),product(X0,X1)),product(X0,product(X1,X0))),
inference(forward_demodulation,[],[f2260,f39]) ).
fof(f2260,plain,
! [X0,X1] : r(product(product(X0,X1),product(X0,X1)),product(product(X0,X1),X0)),
inference(superposition,[],[f1002,f55]) ).
fof(f2258,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,product(X1,X0)),product(X0,X1)),
inference(resolution,[],[f1002,f33]) ).
fof(f2256,plain,
! [X2,X0,X1] :
( ~ l(product(X0,X1),X2)
| d(product(X0,product(X1,X0)),X2) ),
inference(resolution,[],[f1002,f38]) ).
fof(f1002,plain,
! [X0,X1] : r(product(X0,product(X1,X0)),product(X0,X1)),
inference(forward_demodulation,[],[f1001,f39]) ).
fof(f1001,plain,
! [X0,X1] : r(product(product(X0,X1),X0),product(X0,X1)),
inference(subsumption_resolution,[],[f955,f29]) ).
fof(f955,plain,
! [X0,X1] :
( product(X0,X1) != product(product(X0,X1),product(X0,X1))
| r(product(product(X0,X1),X0),product(X0,X1)) ),
inference(superposition,[],[f176,f55]) ).
fof(f2254,plain,
( sK0 = product(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f2246,f34]) ).
fof(f2253,plain,
( ! [X0] :
( ~ l(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f2246,f38]) ).
fof(f2246,plain,
( r(sK0,product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f2236,f29]) ).
fof(f2236,plain,
( sK0 != product(sK0,sK0)
| r(sK0,product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(superposition,[],[f603,f1624]) ).
fof(f2252,plain,
( sK0 = product(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f2243,f33]) ).
fof(f2250,plain,
( ! [X0] :
( ~ l(sK0,X0)
| d(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f2243,f38]) ).
fof(f2243,plain,
( r(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f2233,f29]) ).
fof(f2233,plain,
( sK0 != product(sK0,sK0)
| r(product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f176,f1624]) ).
fof(f2249,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK1))) = product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f2239,f33]) ).
fof(f2239,plain,
( r(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1343,f1361,f1350,f1353,f1360,f1355,f1365,f1357,f1366,f1359,f1367,f1362,f1369,f1372,f1364,f1374,f1375,f1344,f1377,f1388,f1382,f1393,f1390,f1399,f1394,f1400,f1402,f1397,f1408,f1407,f1405,f1409,f1410,f1411,f1341,f1428,f1416,f1425,f1431,f1342,f1434,f1453,f1440,f1443,f1457,f1455,f1484,f1462,f1485,f1486,f1487,f1488,f1370,f1503,f1492,f1493,f1502,f1497,f1505,f1499,f1501,f1373,f1507,f1518,f1509,f1512,f1522,f1523,f1527,f1412,f1530,f1541,f1532,f1535,f1546,f1543,f1552,f1547,f1553,f603,f1578,f1584,f1591,f1562,f1565,f1609,f1604,f1610,f1611,f1605,f1613,f1614,f1550,f1620,f1619,f1617,f1621,f1622,f1623,f1351,f1650,f1635,f1658,f1662,f1663,f1664,f1667,f1668,f1669,f1674,f1676,f1677,f1679,f1379,f1707,f1719,f1720,f1723,f1728,f1733,f1734,f1735,f1737,f1749,f1757,f1759,f1732,f1760,f1761,f1762,f1782,f1784,f1770,f1787,f1495,f1815,f1824,f1826,f1829,f1832,f1834,f1842,f1810,f1848,f1849,f1850,f81,f1923,f1926,f1864,f1868,f1869,f1875,f1876,f1877,f1882,f1883,f1885,f1886,f1887,f1934,f1935,f1936,f1896,f1898,f1899,f1948,f1952,f1954,f1957,f1962,f1966,f1969,f1971,f1974,f1821,f1975,f1976,f1978,f1651,f1994,f1980,f1981,f1983,f1993,f1987,f1996,f1989,f1991,f1992,f1747,f1999,f2001,f1768,f2002,f2003,f1529,f2025,f2009,f2013,f2014,f2033,f1555,f2062,f2046,f2050,f2051,f2070,f91,f2145,f2146,f2147,f2148,f2089,f2095,f2096,f2098,f2099,f2100,f2107,f2108,f2154,f2155,f2158,f2159,f2161,f2165,f2166,f2169,f2170,f2179,f2182,f2185,f2190,f2196,f2200,f2203,f2204,f2210,f2211,f2215,f2219,f2221,f1624,f2222,f2237]) ).
fof(f2242,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2232,f1624]) ).
fof(f2232,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),sK0))
| product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1624]) ).
fof(f2230,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| l(sK0,product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))))
| sK0 != product(sK0,product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1624]) ).
fof(f2229,plain,
( ! [X0] : product(X0,sK0) = product(X0,product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1624]) ).
fof(f2228,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK2(sK0,sK2(sK0,sK1)))),product(X0,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1624]) ).
fof(f2227,plain,
( ! [X0] : product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) = product(sK0,product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1624]) ).
fof(f2224,plain,
( ! [X0] : product(sK0,X0) = product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1624]) ).
fof(f2237,plain,
( r(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| sK2(sK0,sK2(sK0,sK2(sK0,sK1))) != product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f2223]) ).
fof(f2223,plain,
( sK0 != sK0
| r(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| sK2(sK0,sK2(sK0,sK2(sK0,sK1))) != product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f35,f1624]) ).
fof(f2222,plain,
( sK0 != sK2(sK0,sK2(sK0,sK2(sK0,sK1)))
| l(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| sK0 != product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1624]) ).
fof(f1624,plain,
( sK0 = product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1617,f50]) ).
fof(f2221,plain,
( ! [X0,X1] : product(sK1,product(X0,X1)) = product(sK1,product(X0,product(sK2(sK0,sK1),product(X0,X1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2144,f1351]) ).
fof(f2144,plain,
( ! [X0,X1] : product(sK1,product(sK2(sK0,sK1),product(X0,X1))) = product(sK1,product(X0,product(sK2(sK0,sK1),product(X0,X1))))
| ~ spl3_1 ),
inference(superposition,[],[f1351,f91]) ).
fof(f2219,plain,
( ! [X0,X1] : r(product(sK0,product(X0,product(X1,sK2(sK0,sK1)))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2218,f91]) ).
fof(f2218,plain,
( ! [X0,X1] : r(product(sK0,product(X0,product(sK0,product(X0,product(X1,sK2(sK0,sK1)))))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2217,f39]) ).
fof(f2217,plain,
( ! [X0,X1] : r(product(sK0,product(X0,product(sK0,product(product(X0,X1),sK2(sK0,sK1))))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2216,f39]) ).
fof(f2216,plain,
( ! [X0,X1] : r(product(sK0,product(X0,product(product(sK0,product(X0,X1)),sK2(sK0,sK1)))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2140,f39]) ).
fof(f2140,plain,
( ! [X0,X1] : r(product(sK0,product(product(X0,product(sK0,product(X0,X1))),sK2(sK0,sK1))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(superposition,[],[f1728,f91]) ).
fof(f2215,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(X0,product(X1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2214,f91]) ).
fof(f2214,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(X0,product(sK0,product(X0,product(X1,sK2(sK0,sK1)))))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2213,f39]) ).
fof(f2213,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(X0,product(sK0,product(product(X0,X1),sK2(sK0,sK1))))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2212,f39]) ).
fof(f2212,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(X0,product(product(sK0,product(X0,X1)),sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2139,f39]) ).
fof(f2139,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(product(X0,product(sK0,product(X0,X1))),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f91]) ).
fof(f2211,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[],[f2138,f39]) ).
fof(f2138,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(X0,product(X1,product(X2,product(product(X0,X1),product(X2,X3))))),
inference(superposition,[],[f39,f91]) ).
fof(f2210,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,X2))),product(X1,product(X0,product(X1,product(X2,X0))))),
inference(forward_demodulation,[],[f2209,f39]) ).
fof(f2209,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,X2))),product(X1,product(X0,product(product(X1,X2),X0)))),
inference(forward_demodulation,[],[f2208,f39]) ).
fof(f2208,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,X2))),product(X1,product(product(X0,product(X1,X2)),X0))),
inference(forward_demodulation,[],[f2207,f39]) ).
fof(f2207,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,X2))),product(product(X1,product(X0,product(X1,X2))),X0)),
inference(trivial_inequality_removal,[],[f2206]) ).
fof(f2206,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),product(product(X1,product(X0,product(X1,X2))),X0)) ),
inference(forward_demodulation,[],[f2205,f29]) ).
fof(f2205,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| r(product(X1,product(X0,product(X1,X2))),product(product(X1,product(X0,product(X1,X2))),X0)) ),
inference(forward_demodulation,[],[f2137,f39]) ).
fof(f2137,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),product(product(X1,product(X0,product(X1,X2))),X0)) ),
inference(superposition,[],[f603,f91]) ).
fof(f2204,plain,
! [X2,X0,X1] : l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f603,f1578,f1584,f1591,f1562,f1609,f81,f1923,f1926,f1864,f1875,f1876,f1882,f1934,f1935,f1936,f1896,f1898,f1899,f1948,f1952,f1954,f1957,f1962,f1966,f1969,f1971,f1974,f91,f2145,f2146,f2095,f2107,f2154,f2155,f2158,f2159,f2161,f2165,f2166,f2169,f2170,f2179,f2182,f2185,f2190,f2196,f2200,f2203]) ).
fof(f2203,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,product(X2,X0))))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2202,f39]) ).
fof(f2202,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(product(X1,X2),X0)))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2201,f39]) ).
fof(f2201,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),X0))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2136,f39]) ).
fof(f2136,plain,
! [X2,X0,X1] :
( l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),X0) ),
inference(superposition,[],[f392,f91]) ).
fof(f2200,plain,
! [X2,X0,X1] : l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f2199,f91]) ).
fof(f2199,plain,
! [X2,X0,X1] : l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,product(X0,product(X1,X2))))),
inference(trivial_inequality_removal,[],[f2198]) ).
fof(f2198,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,X2)))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,product(X0,product(X1,X2))))) ),
inference(forward_demodulation,[],[f2197,f29]) ).
fof(f2197,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,product(X0,product(X1,X2))))) ),
inference(forward_demodulation,[],[f2135,f39]) ).
fof(f2135,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| l(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,product(X0,product(X1,X2))))) ),
inference(superposition,[],[f372,f91]) ).
fof(f2196,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(X1,product(X2,X0)))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2195,f39]) ).
fof(f2195,plain,
! [X2,X0,X1] : r(product(X1,product(X0,product(product(X1,X2),X0))),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2194,f39]) ).
fof(f2194,plain,
! [X2,X0,X1] : r(product(X1,product(product(X0,product(X1,X2)),X0)),product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f2193,f39]) ).
fof(f2193,plain,
! [X2,X0,X1] : r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(X0,product(X1,X2)))),
inference(trivial_inequality_removal,[],[f2192]) ).
fof(f2192,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,X2)))
| r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2191,f29]) ).
fof(f2191,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),product(X0,product(X1,X2))))
| r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2134,f39]) ).
fof(f2134,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),product(X0,product(X1,X2)))
| r(product(product(X1,product(X0,product(X1,X2))),X0),product(X1,product(X0,product(X1,X2)))) ),
inference(superposition,[],[f176,f91]) ).
fof(f2190,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X2,X3))) != X3
| r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2189,f91]) ).
fof(f2189,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) != X3
| r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2188,f39]) ).
fof(f2188,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) != X3
| r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2187,f39]) ).
fof(f2187,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) != X3
| r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f2186,f39]) ).
fof(f2186,plain,
! [X2,X3,X0,X1] :
( r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| product(X0,product(product(X1,product(X0,product(X1,X2))),X3)) != X3 ),
inference(forward_demodulation,[],[f2133,f91]) ).
fof(f2133,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| r(X3,product(X0,product(X1,product(X0,product(X1,X2)))))
| product(X0,product(product(X1,product(X0,product(X1,X2))),X3)) != X3 ),
inference(superposition,[],[f168,f91]) ).
fof(f2185,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,product(X2,X0))))
| l(product(X0,product(X1,X2)),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2184,f39]) ).
fof(f2184,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(product(X1,X2),X0)))
| l(product(X0,product(X1,X2)),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2183,f39]) ).
fof(f2183,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),X0))
| l(product(X0,product(X1,X2)),product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2132,f39]) ).
fof(f2132,plain,
! [X2,X0,X1] :
( l(product(X0,product(X1,X2)),product(X1,product(X0,product(X1,X2))))
| product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),X0) ),
inference(superposition,[],[f150,f91]) ).
fof(f2182,plain,
! [X2,X3,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,product(X2,product(X3,X0)))))
| product(X3,product(X0,product(X1,X2))) != product(X3,X0)
| l(product(X1,product(X0,product(X1,X2))),product(X3,X0)) ),
inference(forward_demodulation,[],[f2181,f39]) ).
fof(f2181,plain,
! [X2,X3,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(product(X1,X2),product(X3,X0))))
| product(X3,product(X0,product(X1,X2))) != product(X3,X0)
| l(product(X1,product(X0,product(X1,X2))),product(X3,X0)) ),
inference(forward_demodulation,[],[f2180,f39]) ).
fof(f2180,plain,
! [X2,X3,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),product(X3,X0)))
| product(X3,product(X0,product(X1,X2))) != product(X3,X0)
| l(product(X1,product(X0,product(X1,X2))),product(X3,X0)) ),
inference(forward_demodulation,[],[f2131,f39]) ).
fof(f2131,plain,
! [X2,X3,X0,X1] :
( product(X3,product(X0,product(X1,X2))) != product(X3,X0)
| l(product(X1,product(X0,product(X1,X2))),product(X3,X0))
| product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),product(X3,X0)) ),
inference(superposition,[],[f133,f91]) ).
fof(f2179,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,X3)))),
inference(forward_demodulation,[],[f2178,f91]) ).
fof(f2178,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[],[f2177,f39]) ).
fof(f2177,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(product(X1,X2),X3))))),
inference(forward_demodulation,[],[f2176,f39]) ).
fof(f2176,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X0,product(X1,X2)),X3)))),
inference(forward_demodulation,[],[f2129,f39]) ).
fof(f2129,plain,
! [X2,X3,X0,X1] : product(X0,product(product(X1,product(X0,product(X1,X2))),X3)) = product(product(X0,product(X1,X2)),product(X0,product(product(X1,product(X0,product(X1,X2))),X3))),
inference(superposition,[],[f81,f91]) ).
fof(f2170,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,product(X2,X0)))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(product(X0,product(X1,X2)),X0) ),
inference(inner_rewriting,[],[f2169]) ).
fof(f2169,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,product(X2,X0)))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2168,f39]) ).
fof(f2168,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(product(X1,X2),X0))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2167,f39]) ).
fof(f2167,plain,
! [X2,X0,X1] :
( product(X1,product(product(X0,product(X1,X2)),X0)) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2125,f39]) ).
fof(f2125,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(product(X1,product(X0,product(X1,X2))),X0)
| product(product(X1,product(X0,product(X1,X2))),X0) != X0 ),
inference(superposition,[],[f35,f91]) ).
fof(f2166,plain,
! [X2,X0,X1] :
( product(X1,X0) != product(X1,product(X0,product(X1,product(X2,X0))))
| product(X0,product(X1,X2)) != X0
| l(product(X1,X0),X0) ),
inference(inner_rewriting,[],[f2165]) ).
fof(f2165,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(X1,product(X2,X0))))
| product(X0,product(X1,X2)) != X0
| l(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2164,f39]) ).
fof(f2164,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(X0,product(product(X1,X2),X0)))
| product(X0,product(X1,X2)) != X0
| l(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2163,f39]) ).
fof(f2163,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,X2))) != product(X1,product(product(X0,product(X1,X2)),X0))
| product(X0,product(X1,X2)) != X0
| l(product(X1,product(X0,product(X1,X2))),X0) ),
inference(forward_demodulation,[],[f2124,f39]) ).
fof(f2124,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != X0
| l(product(X1,product(X0,product(X1,X2))),X0)
| product(X1,product(X0,product(X1,X2))) != product(product(X1,product(X0,product(X1,X2))),X0) ),
inference(superposition,[],[f32,f91]) ).
fof(f2161,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,product(X0,X1))))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f2160,f39]) ).
fof(f2160,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(product(X1,X2),product(X0,X1)))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f2123,f39]) ).
fof(f2123,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1))
| product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(superposition,[],[f133,f91]) ).
fof(f2159,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,product(X2,X0)))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(X0,product(X0,product(X1,X2))) ),
inference(inner_rewriting,[],[f2158]) ).
fof(f2158,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(X1,product(X2,X0)))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(X0,product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2157,f39]) ).
fof(f2157,plain,
! [X2,X0,X1] :
( product(X1,product(X0,product(product(X1,X2),X0))) != X0
| product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(X0,product(X1,product(X0,product(X1,X2)))) ),
inference(forward_demodulation,[],[f2122,f39]) ).
fof(f2122,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X1,product(X0,product(X1,X2)))
| r(X0,product(X1,product(X0,product(X1,X2))))
| product(X1,product(product(X0,product(X1,X2)),X0)) != X0 ),
inference(superposition,[],[f168,f91]) ).
fof(f2155,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(X0,product(X1,product(X2,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[],[f2117,f39]) ).
fof(f2117,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(X0,product(X1,product(X2,product(product(X0,X1),product(X2,X3))))),
inference(superposition,[],[f91,f39]) ).
fof(f2154,plain,
! [X2,X3,X0,X1] : product(X2,product(X0,product(X1,X3))) = product(X2,product(X0,product(X1,product(X2,product(X0,product(X1,X3)))))),
inference(forward_demodulation,[],[f2113,f39]) ).
fof(f2113,plain,
! [X2,X3,X0,X1] : product(X2,product(product(X0,X1),X3)) = product(X2,product(X0,product(X1,product(X2,product(product(X0,X1),X3))))),
inference(superposition,[],[f91,f39]) ).
fof(f2108,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK0,sK1),product(sK1,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1351]) ).
fof(f2107,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,X1),product(X2,product(X0,product(X1,product(X2,X3))))),
inference(superposition,[],[f91,f39]) ).
fof(f2100,plain,
( ! [X0] : product(X0,sK0) = product(X0,product(sK2(sK0,sK2(sK0,sK1)),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1412]) ).
fof(f2099,plain,
( ! [X0] : product(X0,sK1) = product(X0,product(sK2(sK1,sK2(sK0,sK1)),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1373]) ).
fof(f2098,plain,
( ! [X0,X1] : product(X1,product(sK0,X0)) = product(X1,product(sK2(sK0,sK1),product(X1,product(sK0,X0))))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1379]) ).
fof(f2096,plain,
( ! [X0] : product(X0,sK0) = product(X0,product(sK2(sK0,sK1),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1344]) ).
fof(f2095,plain,
! [X0,X1] : product(X1,X0) = product(X1,product(sK2(X0,X0),product(X1,X0))),
inference(superposition,[],[f91,f677]) ).
fof(f2089,plain,
( ! [X0] : product(X0,sK2(sK0,sK1)) = product(X0,product(sK0,product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1342]) ).
fof(f2148,plain,
( ! [X0] : product(X0,sK1) = product(X0,product(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(X0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2088,f39]) ).
fof(f2088,plain,
( ! [X0] : product(X0,sK1) = product(X0,product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(X0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1529]) ).
fof(f2147,plain,
( ! [X0] : product(X0,sK0) = product(X0,product(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(X0,sK0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2087,f39]) ).
fof(f2087,plain,
( ! [X0] : product(X0,sK0) = product(X0,product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(X0,sK0)))
| ~ spl3_1 ),
inference(superposition,[],[f91,f1555]) ).
fof(f2146,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(X0,product(X1,product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2086,f39]) ).
fof(f2086,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(product(X0,X1),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f91,f81]) ).
fof(f2145,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(X0,product(X1,product(X3,product(X0,product(X1,X2)))))),
inference(forward_demodulation,[],[f2085,f39]) ).
fof(f2085,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(X3,product(product(X0,X1),product(X3,product(X0,product(X1,X2))))),
inference(superposition,[],[f91,f39]) ).
fof(f91,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f86,f39]) ).
fof(f86,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(superposition,[],[f55,f39]) ).
fof(f2070,plain,
( ! [X0] :
( product(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0))) != X0
| r(X0,sK0)
| sK0 != product(X0,sK0) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2069,f39]) ).
fof(f2069,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2068,f29]) ).
fof(f2068,plain,
( ! [X0] :
( r(X0,product(sK0,sK0))
| sK0 != product(X0,sK0)
| product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2067,f1412]) ).
fof(f2067,plain,
( ! [X0] :
( r(X0,product(sK0,product(sK2(sK0,sK2(sK0,sK1)),sK0)))
| sK0 != product(X0,sK0)
| product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2053,f39]) ).
fof(f2053,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK0))
| product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1555]) ).
fof(f2051,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| l(sK0,product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1)))))
| sK0 != product(sK0,product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1))))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1555]) ).
fof(f2050,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,product(sK0,sK2(sK0,sK2(sK0,sK1)))),product(X0,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1555]) ).
fof(f2046,plain,
( ! [X0] : product(sK0,X0) = product(product(sK0,sK2(sK0,sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1555]) ).
fof(f2062,plain,
( sK0 != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| l(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f2061]) ).
fof(f2061,plain,
( sK0 != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| sK0 != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| l(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2044,f55]) ).
fof(f2044,plain,
( sK0 != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| l(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| sK0 != product(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1555]) ).
fof(f1555,plain,
( sK0 = product(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1547,f33]) ).
fof(f2033,plain,
( ! [X0] :
( product(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0))) != X0
| r(X0,sK1)
| sK1 != product(X0,sK1) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2032,f39]) ).
fof(f2032,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2031,f29]) ).
fof(f2031,plain,
( ! [X0] :
( r(X0,product(sK1,sK1))
| sK1 != product(X0,sK1)
| product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2030,f1373]) ).
fof(f2030,plain,
( ! [X0] :
( r(X0,product(sK1,product(sK2(sK1,sK2(sK0,sK1)),sK1)))
| sK1 != product(X0,sK1)
| product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2016,f39]) ).
fof(f2016,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK1))
| product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1529]) ).
fof(f2014,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| l(sK1,product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1)))))
| sK1 != product(sK1,product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1))))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1529]) ).
fof(f2013,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,product(sK1,sK2(sK1,sK2(sK0,sK1)))),product(X0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1529]) ).
fof(f2009,plain,
( ! [X0] : product(sK1,X0) = product(product(sK1,sK2(sK1,sK2(sK0,sK1))),product(sK1,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1529]) ).
fof(f2025,plain,
( sK1 != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| l(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f2024]) ).
fof(f2024,plain,
( sK1 != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| sK1 != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| l(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f2007,f55]) ).
fof(f2007,plain,
( sK1 != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| l(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| sK1 != product(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1529]) ).
fof(f1529,plain,
( sK1 = product(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1523,f33]) ).
fof(f2003,plain,
( sK0 = product(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1768,f34]) ).
fof(f2002,plain,
( ! [X0] :
( ~ l(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1768,f38]) ).
fof(f1768,plain,
( r(sK0,product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f314]) ).
fof(f2001,plain,
( sK0 = product(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1747,f33]) ).
fof(f1999,plain,
( ! [X0] :
( ~ l(sK0,X0)
| d(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1747,f38]) ).
fof(f1747,plain,
( r(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1728,f314]) ).
fof(f1992,plain,
( sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| r(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f603,f1651]) ).
fof(f1991,plain,
( l(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f392,f1651]) ).
fof(f1989,plain,
( sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| r(product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1),sK2(sK2(sK0,sK1),sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f176,f1651]) ).
fof(f1996,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1988,f1651]) ).
fof(f1988,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(sK1,sK2(sK2(sK0,sK1),sK2(sK0,sK1))))
| product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1651]) ).
fof(f1987,plain,
( l(sK1,sK2(sK2(sK0,sK1),sK2(sK0,sK1)))
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f150,f1651]) ).
fof(f1993,plain,
( ! [X0] :
( l(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(X0,sK1))
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(X0,sK1)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1986]) ).
fof(f1986,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,sK1)
| l(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(X0,sK1))
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),product(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1651]) ).
fof(f1983,plain,
( sK1 = product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f59,f1651]) ).
fof(f1981,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1651]) ).
fof(f1980,plain,
( sK1 != sK2(sK2(sK0,sK1),sK2(sK0,sK1))
| r(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| sK1 != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f35,f1651]) ).
fof(f1994,plain,
( l(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1979]) ).
fof(f1979,plain,
( sK1 != sK1
| l(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| sK2(sK2(sK0,sK1),sK2(sK0,sK1)) != product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f32,f1651]) ).
fof(f1651,plain,
( sK1 = product(sK1,sK2(sK2(sK0,sK1),sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1628,f1343]) ).
fof(f1628,plain,
( product(sK1,sK2(sK0,sK1)) = product(sK1,sK2(sK2(sK0,sK1),sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f1351,f314]) ).
fof(f1978,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) = product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1821,f30]) ).
fof(f1976,plain,
( sK1 = product(sK1,sK2(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1821,f208]) ).
fof(f1975,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) = product(sK2(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1),product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1821,f209]) ).
fof(f1821,plain,
( l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1820]) ).
fof(f1820,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1819,f29]) ).
fof(f1819,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(sK1,sK1))
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1808,f39]) ).
fof(f1808,plain,
( l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1795]) ).
fof(f1795,plain,
( sK1 != sK1
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f32,f1495]) ).
fof(f1974,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,product(X0,X1))))),
inference(forward_demodulation,[],[f1973,f39]) ).
fof(f1973,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(X0,product(product(X1,X2),product(X0,X1)))),
inference(forward_demodulation,[],[f1972,f39]) ).
fof(f1972,plain,
! [X2,X0,X1] : r(product(X0,product(X1,X2)),product(product(X0,product(X1,X2)),product(X0,X1))),
inference(subsumption_resolution,[],[f1917,f29]) ).
fof(f1917,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))
| r(product(X0,product(X1,X2)),product(product(X0,product(X1,X2)),product(X0,X1))) ),
inference(superposition,[],[f603,f81]) ).
fof(f1971,plain,
! [X2,X0,X1] : l(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f1970,f39]) ).
fof(f1970,plain,
! [X2,X0,X1] : l(product(X0,product(X1,X2)),product(product(X0,X1),product(X0,product(X1,X2)))),
inference(subsumption_resolution,[],[f1915,f29]) ).
fof(f1915,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))
| l(product(X0,product(X1,X2)),product(product(X0,X1),product(X0,product(X1,X2)))) ),
inference(superposition,[],[f372,f81]) ).
fof(f1969,plain,
! [X2,X0,X1] : r(product(X0,product(X1,product(X2,product(X0,X1)))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f1968,f39]) ).
fof(f1968,plain,
! [X2,X0,X1] : r(product(X0,product(product(X1,X2),product(X0,X1))),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f1967,f39]) ).
fof(f1967,plain,
! [X2,X0,X1] : r(product(product(X0,product(X1,X2)),product(X0,X1)),product(X0,product(X1,X2))),
inference(subsumption_resolution,[],[f1914,f29]) ).
fof(f1914,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X0,product(X1,X2)))
| r(product(product(X0,product(X1,X2)),product(X0,X1)),product(X0,product(X1,X2))) ),
inference(superposition,[],[f176,f81]) ).
fof(f1966,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) != X3
| r(X3,product(X0,product(X1,product(X0,product(X1,X2)))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f1965,f39]) ).
fof(f1965,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) != X3
| r(X3,product(X0,product(X1,product(X0,product(X1,X2)))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f1964,f39]) ).
fof(f1964,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) != X3
| r(X3,product(X0,product(X1,product(X0,product(X1,X2)))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f1963,f39]) ).
fof(f1963,plain,
! [X2,X3,X0,X1] :
( r(X3,product(X0,product(X1,product(X0,product(X1,X2)))))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| product(product(X0,X1),product(product(X0,product(X1,X2)),X3)) != X3 ),
inference(forward_demodulation,[],[f1913,f39]) ).
fof(f1913,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| r(X3,product(product(X0,X1),product(X0,product(X1,X2))))
| product(product(X0,X1),product(product(X0,product(X1,X2)),X3)) != X3 ),
inference(superposition,[],[f168,f81]) ).
fof(f1962,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,product(X3,product(X0,X1)))))
| product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X0,product(X1,X2)),product(X3,product(X0,X1))) ),
inference(forward_demodulation,[],[f1961,f39]) ).
fof(f1961,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(product(X1,X2),product(X3,product(X0,X1))))
| product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X0,product(X1,X2)),product(X3,product(X0,X1))) ),
inference(forward_demodulation,[],[f1911,f39]) ).
fof(f1911,plain,
! [X2,X3,X0,X1] :
( product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(product(X0,product(X1,X2)),product(X3,product(X0,X1)))
| product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X3,product(X0,X1))) ),
inference(superposition,[],[f133,f81]) ).
fof(f1957,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| r(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f1956,f39]) ).
fof(f1956,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(product(X1,X2),product(X0,X1)))
| r(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f1918,f39]) ).
fof(f1918,plain,
! [X2,X0,X1] :
( r(product(X0,product(X1,X2)),product(X0,X1))
| product(X0,X1) != product(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(trivial_inequality_removal,[],[f1907]) ).
fof(f1907,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,X2))
| r(product(X0,product(X1,X2)),product(X0,X1))
| product(X0,X1) != product(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(superposition,[],[f35,f81]) ).
fof(f1954,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,product(X0,X1))))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f1953,f39]) ).
fof(f1953,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(product(X1,X2),product(X0,X1)))
| product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(forward_demodulation,[],[f1906,f39]) ).
fof(f1906,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,X2))
| l(product(X0,product(X1,X2)),product(X0,X1))
| product(X0,product(X1,X2)) != product(product(X0,product(X1,X2)),product(X0,X1)) ),
inference(superposition,[],[f32,f81]) ).
fof(f1952,plain,
! [X2,X0,X1] :
( product(X1,X2) != product(X1,product(X2,product(X0,product(X1,X0))))
| l(product(X1,X2),product(X0,product(X1,X0)))
| product(X0,product(X1,X0)) != product(X0,product(X1,X2)) ),
inference(forward_demodulation,[],[f1951,f39]) ).
fof(f1951,plain,
! [X2,X0,X1] :
( product(X1,X2) != product(X1,product(X2,product(product(X0,X1),X0)))
| l(product(X1,X2),product(X0,product(X1,X0)))
| product(X0,product(X1,X0)) != product(X0,product(X1,X2)) ),
inference(forward_demodulation,[],[f1950,f39]) ).
fof(f1950,plain,
! [X2,X0,X1] :
( l(product(X1,X2),product(X0,product(X1,X0)))
| product(X0,product(X1,X0)) != product(X0,product(X1,X2))
| product(X1,X2) != product(product(X1,X2),product(product(X0,X1),X0)) ),
inference(forward_demodulation,[],[f1949,f39]) ).
fof(f1949,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X0)) != product(X0,product(X1,X2))
| l(product(X1,X2),product(product(X0,X1),X0))
| product(X1,X2) != product(product(X1,X2),product(product(X0,X1),X0)) ),
inference(forward_demodulation,[],[f1905,f39]) ).
fof(f1905,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(product(X0,X1),X0)
| l(product(X1,X2),product(product(X0,X1),X0))
| product(X1,X2) != product(product(X1,X2),product(product(X0,X1),X0)) ),
inference(superposition,[],[f133,f81]) ).
fof(f1948,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| r(product(X0,X1),product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f1919,f39]) ).
fof(f1919,plain,
! [X2,X0,X1] :
( r(product(X0,X1),product(X0,product(X1,X2)))
| product(X0,X1) != product(X0,product(product(X1,X2),product(X0,X1))) ),
inference(trivial_inequality_removal,[],[f1904]) ).
fof(f1904,plain,
! [X2,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,X2))
| r(product(X0,X1),product(X0,product(X1,X2)))
| product(X0,X1) != product(X0,product(product(X1,X2),product(X0,X1))) ),
inference(superposition,[],[f168,f81]) ).
fof(f1899,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(superposition,[],[f39,f81]) ).
fof(f1898,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(superposition,[],[f81,f39]) ).
fof(f1896,plain,
! [X0,X1] : product(X0,X1) = product(product(sK2(product(X0,X1),product(X0,X1)),X0),product(X0,X1)),
inference(superposition,[],[f81,f677]) ).
fof(f1936,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,X3)))),
inference(forward_demodulation,[],[f1893,f39]) ).
fof(f1893,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(product(X0,X1),X2),product(X0,product(X1,product(X2,X3)))),
inference(superposition,[],[f81,f39]) ).
fof(f1935,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,product(X1,X0)),product(X0,product(X1,X2))),
inference(forward_demodulation,[],[f1892,f39]) ).
fof(f1892,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(product(X0,X1),X0),product(X0,product(X1,X2))),
inference(superposition,[],[f81,f81]) ).
fof(f1934,plain,
! [X0,X1] : product(X0,X1) = product(product(X0,product(X1,X0)),product(X0,X1)),
inference(forward_demodulation,[],[f1891,f39]) ).
fof(f1891,plain,
! [X0,X1] : product(X0,X1) = product(product(product(X0,X1),X0),product(X0,X1)),
inference(superposition,[],[f81,f29]) ).
fof(f1887,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK2(sK0,sK1))),product(X0,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1412]) ).
fof(f1886,plain,
( ! [X0] : product(X0,sK1) = product(product(X0,sK2(sK1,sK2(sK0,sK1))),product(X0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1373]) ).
fof(f1885,plain,
( ! [X0,X1] : product(X1,product(sK0,X0)) = product(product(X1,sK2(sK0,sK1)),product(X1,product(sK0,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1379]) ).
fof(f1883,plain,
( ! [X0] : product(X0,sK0) = product(product(X0,sK2(sK0,sK1)),product(X0,sK0))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1344]) ).
fof(f1882,plain,
! [X0,X1] : product(X1,X0) = product(product(X1,sK2(X0,X0)),product(X1,X0)),
inference(superposition,[],[f81,f677]) ).
fof(f1877,plain,
( ! [X0] : product(X0,sK2(sK0,sK1)) = product(product(X0,sK0),product(X0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1342]) ).
fof(f1876,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X3,product(X0,product(X1,X2)))),
inference(superposition,[],[f81,f81]) ).
fof(f1875,plain,
! [X2,X3,X0,X1] : product(X3,product(X0,product(X1,X2))) = product(product(X3,product(X0,X1)),product(X3,product(X0,product(X1,X2)))),
inference(superposition,[],[f81,f39]) ).
fof(f1869,plain,
( ! [X0] : product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)) = product(sK0,product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1412]) ).
fof(f1868,plain,
( ! [X0] : product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)) = product(sK1,product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f81,f1373]) ).
fof(f1864,plain,
! [X0,X1] : product(sK2(X0,X0),product(X0,X1)) = product(X0,product(sK2(X0,X0),product(X0,X1))),
inference(superposition,[],[f81,f677]) ).
fof(f1926,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(X1,product(X2,X3))))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(X1,product(X2,X3)))))),
inference(forward_demodulation,[],[f1925,f39]) ).
fof(f1925,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X0,product(product(X1,X2),X3)))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X0,product(product(X1,X2),X3))))),
inference(forward_demodulation,[],[f1924,f39]) ).
fof(f1924,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(product(X0,product(X1,X2)),X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(product(X0,product(X1,X2)),X3)))),
inference(forward_demodulation,[],[f1858,f39]) ).
fof(f1858,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(product(X0,product(X1,X2)),X3)) = product(product(X0,product(X1,X2)),product(product(X0,X1),product(product(X0,product(X1,X2)),X3))),
inference(superposition,[],[f81,f81]) ).
fof(f1923,plain,
! [X2,X3,X0,X1] : product(X0,product(X1,product(X2,X3))) = product(product(X0,product(X1,X2)),product(X0,product(X1,product(X2,X3)))),
inference(forward_demodulation,[],[f1857,f39]) ).
fof(f1857,plain,
! [X2,X3,X0,X1] : product(product(X0,X1),product(X2,X3)) = product(product(X0,product(X1,X2)),product(product(X0,X1),product(X2,X3))),
inference(superposition,[],[f81,f39]) ).
fof(f81,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,X1),product(X0,product(X1,X2))),
inference(superposition,[],[f55,f39]) ).
fof(f1850,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) = product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1810,f31]) ).
fof(f1849,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) = product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK2(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1810,f208]) ).
fof(f1848,plain,
( sK1 = product(sK2(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1)),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1810,f209]) ).
fof(f1810,plain,
( l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1791]) ).
fof(f1791,plain,
( sK1 != sK1
| l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f372,f1495]) ).
fof(f1842,plain,
( l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1841]) ).
fof(f1841,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1840,f29]) ).
fof(f1840,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(sK1,sK1))
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1805,f39]) ).
fof(f1805,plain,
( l(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f392,f1495]) ).
fof(f1834,plain,
( ! [X0] :
( product(sK1,product(sK2(sK2(sK0,sK1),sK1),product(sK1,X0))) != X0
| r(X0,sK1)
| sK1 != product(X0,sK1) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1833,f39]) ).
fof(f1833,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(sK1,product(product(sK2(sK2(sK0,sK1),sK1),sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1802,f1495]) ).
fof(f1802,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1)))
| product(sK1,product(product(sK2(sK2(sK0,sK1),sK1),sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1495]) ).
fof(f1832,plain,
( l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1831]) ).
fof(f1831,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1830,f29]) ).
fof(f1830,plain,
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(sK1,sK1))
| l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1801,f39]) ).
fof(f1801,plain,
( l(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f150,f1495]) ).
fof(f1829,plain,
( ! [X0] :
( product(sK2(sK2(sK0,sK1),sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(sK1,product(X0,sK1)))
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1807,f39]) ).
fof(f1807,plain,
( ! [X0] :
( l(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1))
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1800]) ).
fof(f1800,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,sK1)
| l(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1))
| product(sK2(sK2(sK0,sK1),sK1),sK1) != product(product(sK2(sK2(sK0,sK1),sK1),sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1495]) ).
fof(f1826,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK2(sK0,sK1),sK1),product(sK1,X0)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1797,f39]) ).
fof(f1797,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(product(sK2(sK2(sK0,sK1),sK1),sK1),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1495]) ).
fof(f1824,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f1823]) ).
fof(f1823,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1822,f29]) ).
fof(f1822,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),product(sK1,sK1))
| sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1796,f39]) ).
fof(f1796,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| sK1 != product(product(sK2(sK2(sK0,sK1),sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f35,f1495]) ).
fof(f1815,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f1814]) ).
fof(f1814,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1793,f29]) ).
fof(f1793,plain,
( sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| sK1 != product(sK2(sK2(sK0,sK1),sK1),product(sK1,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f168,f1495]) ).
fof(f1495,plain,
( sK1 = product(sK1,product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f59,f1370]) ).
fof(f1787,plain,
( r(product(sK0,sK2(sK2(sK0,sK1),sK2(sK0,sK1))),sK2(sK0,sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1773,f1342]) ).
fof(f1773,plain,
( r(product(sK0,sK2(sK2(sK0,sK1),sK2(sK0,sK1))),product(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f677]) ).
fof(f1770,plain,
( ! [X0,X1] : r(product(sK0,product(X0,X1)),product(sK0,product(X0,product(X1,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f39]) ).
fof(f1784,plain,
( r(sK0,product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1783,f1342]) ).
fof(f1783,plain,
( r(sK0,product(sK0,product(sK2(sK0,sK0),product(sK0,sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1767,f39]) ).
fof(f1767,plain,
( r(sK0,product(sK0,product(product(sK2(sK0,sK0),sK0),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f421]) ).
fof(f1782,plain,
( ! [X0] : r(product(sK0,X0),product(sK0,product(X0,product(sK0,product(X0,sK2(sK0,sK1))))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1781,f39]) ).
fof(f1781,plain,
( ! [X0] : r(product(sK0,X0),product(sK0,product(X0,product(product(sK0,X0),sK2(sK0,sK1)))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1766,f39]) ).
fof(f1766,plain,
( ! [X0] : r(product(sK0,X0),product(sK0,product(product(X0,product(sK0,X0)),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1732,f59]) ).
fof(f1762,plain,
( ! [X0] : product(sK0,product(X0,sK2(sK0,sK1))) = product(product(sK0,X0),product(sK0,product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1732,f33]) ).
fof(f1761,plain,
( ! [X0] : product(sK0,X0) = product(product(sK0,product(X0,sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(resolution,[],[f1732,f34]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ l(product(sK0,product(X0,sK2(sK0,sK1))),X1)
| d(product(sK0,X0),X1) )
| ~ spl3_1 ),
inference(resolution,[],[f1732,f38]) ).
fof(f1732,plain,
( ! [X0] : r(product(sK0,X0),product(sK0,product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1731,f39]) ).
fof(f1731,plain,
( ! [X0] : r(product(sK0,X0),product(product(sK0,X0),sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1705,f29]) ).
fof(f1705,plain,
( ! [X0] :
( product(sK0,X0) != product(product(sK0,X0),product(sK0,X0))
| r(product(sK0,X0),product(product(sK0,X0),sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f603,f1379]) ).
fof(f1759,plain,
( r(product(sK0,product(sK2(sK0,sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1758,f1342]) ).
fof(f1758,plain,
( r(product(sK0,product(sK2(sK0,sK0),product(sK0,sK2(sK0,sK1)))),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1746,f39]) ).
fof(f1746,plain,
( r(product(sK0,product(product(sK2(sK0,sK0),sK0),sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1728,f421]) ).
fof(f1757,plain,
( ! [X0] : r(product(sK0,product(X0,product(sK0,product(X0,sK2(sK0,sK1))))),product(sK0,X0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1756,f39]) ).
fof(f1756,plain,
( ! [X0] : r(product(sK0,product(X0,product(product(sK0,X0),sK2(sK0,sK1)))),product(sK0,X0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1745,f39]) ).
fof(f1745,plain,
( ! [X0] : r(product(sK0,product(product(X0,product(sK0,X0)),sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(superposition,[],[f1728,f59]) ).
fof(f1749,plain,
( r(sK2(sK0,sK1),product(sK0,sK2(sK2(sK0,sK1),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1740,f1342]) ).
fof(f1740,plain,
( r(product(sK0,sK2(sK0,sK1)),product(sK0,sK2(sK2(sK0,sK1),sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f1728,f677]) ).
fof(f1737,plain,
( ! [X0,X1] : r(product(sK0,product(X0,product(X1,sK2(sK0,sK1)))),product(sK0,product(X0,X1)))
| ~ spl3_1 ),
inference(superposition,[],[f1728,f39]) ).
fof(f1735,plain,
( ! [X0] : product(sK0,X0) = product(product(sK0,product(X0,sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(resolution,[],[f1728,f33]) ).
fof(f1734,plain,
( ! [X0] : product(sK0,product(X0,sK2(sK0,sK1))) = product(product(sK0,X0),product(sK0,product(X0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1728,f34]) ).
fof(f1733,plain,
( ! [X0,X1] :
( ~ l(product(sK0,X0),X1)
| d(product(sK0,product(X0,sK2(sK0,sK1))),X1) )
| ~ spl3_1 ),
inference(resolution,[],[f1728,f38]) ).
fof(f1728,plain,
( ! [X0] : r(product(sK0,product(X0,sK2(sK0,sK1))),product(sK0,X0))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1727,f39]) ).
fof(f1727,plain,
( ! [X0] : r(product(product(sK0,X0),sK2(sK0,sK1)),product(sK0,X0))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1702,f29]) ).
fof(f1702,plain,
( ! [X0] :
( product(sK0,X0) != product(product(sK0,X0),product(sK0,X0))
| r(product(product(sK0,X0),sK2(sK0,sK1)),product(sK0,X0)) )
| ~ spl3_1 ),
inference(superposition,[],[f176,f1379]) ).
fof(f1723,plain,
( ! [X0,X1] :
( product(sK0,X0) != product(sK0,product(X0,product(X1,sK2(sK0,sK1))))
| product(X1,product(sK0,X0)) != product(X1,sK2(sK0,sK1))
| l(product(sK0,X0),product(X1,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1699,f39]) ).
fof(f1699,plain,
( ! [X0,X1] :
( product(X1,product(sK0,X0)) != product(X1,sK2(sK0,sK1))
| l(product(sK0,X0),product(X1,sK2(sK0,sK1)))
| product(sK0,X0) != product(product(sK0,X0),product(X1,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1379]) ).
fof(f1720,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(sK0,product(X0,sK2(sK0,sK1)))
| r(product(sK0,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1706,f39]) ).
fof(f1706,plain,
( ! [X0] :
( r(product(sK0,X0),sK2(sK0,sK1))
| sK2(sK0,sK1) != product(product(sK0,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1695]) ).
fof(f1695,plain,
( ! [X0] :
( product(sK0,X0) != product(sK0,X0)
| r(product(sK0,X0),sK2(sK0,sK1))
| sK2(sK0,sK1) != product(product(sK0,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f35,f1379]) ).
fof(f1719,plain,
( ! [X0] :
( product(sK0,X0) != product(sK0,product(X0,sK2(sK0,sK1)))
| sK2(sK0,sK1) != product(sK0,X0)
| l(product(sK0,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1694,f39]) ).
fof(f1694,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(sK0,X0)
| l(product(sK0,X0),sK2(sK0,sK1))
| product(sK0,X0) != product(product(sK0,X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f32,f1379]) ).
fof(f1707,plain,
( ! [X0] :
( r(sK2(sK0,sK1),product(sK0,X0))
| sK2(sK0,sK1) != product(sK0,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1692]) ).
fof(f1692,plain,
( ! [X0] :
( product(sK0,X0) != product(sK0,X0)
| r(sK2(sK0,sK1),product(sK0,X0))
| sK2(sK0,sK1) != product(sK0,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1379]) ).
fof(f1379,plain,
( ! [X0] : product(sK0,X0) = product(sK2(sK0,sK1),product(sK0,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1344]) ).
fof(f1679,plain,
( ! [X0] :
( r(product(sK2(sK0,sK1),X0),product(sK2(sK0,sK1),product(X0,sK1)))
| product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1678,f39]) ).
fof(f1678,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0)))
| r(product(sK2(sK0,sK1),X0),product(product(sK2(sK0,sK1),X0),sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1648,f39]) ).
fof(f1648,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),product(sK1,X0))
| r(product(sK2(sK0,sK1),X0),product(product(sK2(sK0,sK1),X0),sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f603,f1351]) ).
fof(f1677,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,sK1))
| l(product(sK2(sK0,sK1),X0),product(sK1,X0)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1647,f39]) ).
fof(f1647,plain,
( ! [X0] :
( l(product(sK2(sK0,sK1),X0),product(sK1,X0))
| product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(superposition,[],[f392,f1351]) ).
fof(f1676,plain,
( ! [X0] :
( l(product(sK2(sK0,sK1),X0),product(sK1,X0))
| product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1675,f1351]) ).
fof(f1675,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0)))
| l(product(sK2(sK0,sK1),X0),product(sK1,product(sK2(sK0,sK1),X0))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1646,f39]) ).
fof(f1646,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),product(sK1,X0))
| l(product(sK2(sK0,sK1),X0),product(sK1,product(sK2(sK0,sK1),X0))) )
| ~ spl3_1 ),
inference(superposition,[],[f372,f1351]) ).
fof(f1674,plain,
( ! [X0] :
( r(product(sK2(sK0,sK1),product(X0,sK1)),product(sK2(sK0,sK1),X0))
| product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0))) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1673,f39]) ).
fof(f1673,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(sK1,X0)))
| r(product(product(sK2(sK0,sK1),X0),sK1),product(sK2(sK0,sK1),X0)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1645,f39]) ).
fof(f1645,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),product(sK1,X0))
| r(product(product(sK2(sK0,sK1),X0),sK1),product(sK2(sK0,sK1),X0)) )
| ~ spl3_1 ),
inference(superposition,[],[f176,f1351]) ).
fof(f1669,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,sK1))
| l(product(sK1,X0),product(sK2(sK0,sK1),X0)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1643,f39]) ).
fof(f1643,plain,
( ! [X0] :
( l(product(sK1,X0),product(sK2(sK0,sK1),X0))
| product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(superposition,[],[f150,f1351]) ).
fof(f1668,plain,
( ! [X0,X1] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,product(X1,sK1)))
| product(X1,sK1) != product(X1,product(sK1,X0))
| l(product(sK2(sK0,sK1),X0),product(X1,sK1)) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1642,f39]) ).
fof(f1642,plain,
( ! [X0,X1] :
( product(X1,sK1) != product(X1,product(sK1,X0))
| l(product(sK2(sK0,sK1),X0),product(X1,sK1))
| product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),product(X1,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1351]) ).
fof(f1667,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK0,sK1),product(X0,product(sK1,X0))))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1641,f39]) ).
fof(f1641,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(product(sK2(sK0,sK1),X0),product(sK1,X0)))
| ~ spl3_1 ),
inference(superposition,[],[f59,f1351]) ).
fof(f1664,plain,
( ! [X0] :
( sK1 != product(sK2(sK0,sK1),product(X0,sK1))
| product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(product(sK1,X0),sK1) )
| ~ spl3_1 ),
inference(inner_rewriting,[],[f1663]) ).
fof(f1663,plain,
( ! [X0] :
( sK1 != product(sK2(sK0,sK1),product(X0,sK1))
| product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1638,f39]) ).
fof(f1638,plain,
( ! [X0] :
( product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(product(sK2(sK0,sK1),X0),sK1)
| sK1 != product(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(superposition,[],[f35,f1351]) ).
fof(f1662,plain,
( ! [X0] :
( product(sK2(sK0,sK1),X0) != product(sK2(sK0,sK1),product(X0,sK1))
| sK1 != product(sK1,X0)
| l(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1637,f39]) ).
fof(f1637,plain,
( ! [X0] :
( sK1 != product(sK1,X0)
| l(product(sK2(sK0,sK1),X0),sK1)
| product(sK2(sK0,sK1),X0) != product(product(sK2(sK0,sK1),X0),sK1) )
| ~ spl3_1 ),
inference(superposition,[],[f32,f1351]) ).
fof(f1658,plain,
( ! [X0] :
( product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(sK1,product(sK1,X0))
| sK1 != product(sK2(sK0,sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(inner_rewriting,[],[f1635]) ).
fof(f1635,plain,
( ! [X0] :
( product(sK1,X0) != product(sK2(sK0,sK1),X0)
| r(sK1,product(sK2(sK0,sK1),X0))
| sK1 != product(sK2(sK0,sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1351]) ).
fof(f1650,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(X0,product(sK2(sK0,sK1),X0)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1626,f1351]) ).
fof(f1626,plain,
( ! [X0] : product(sK1,product(sK2(sK0,sK1),X0)) = product(sK1,product(X0,product(sK2(sK0,sK1),X0)))
| ~ spl3_1 ),
inference(superposition,[],[f1351,f59]) ).
fof(f1351,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK0,sK1),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1343]) ).
fof(f1623,plain,
( sK2(sK0,sK2(sK0,sK1)) = product(sK2(sK0,sK2(sK0,sK1)),sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1617,f52]) ).
fof(f1622,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK1))) = product(sK0,sK2(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1617,f51]) ).
fof(f1621,plain,
( sK2(sK0,sK2(sK0,sK2(sK0,sK1))) = product(sK2(sK0,sK2(sK0,sK2(sK0,sK1))),sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1617,f53]) ).
fof(f1617,plain,
( d(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1550,f141]) ).
fof(f1619,plain,
( ! [X0] :
( d(sK0,product(X0,sK2(sK0,sK2(sK0,sK1))))
| sK2(sK0,sK2(sK0,sK1)) != product(sK2(sK0,sK2(sK0,sK1)),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1550,f392]) ).
fof(f1620,plain,
( d(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1618,f677]) ).
fof(f1618,plain,
( d(sK0,product(sK2(sK2(sK0,sK2(sK0,sK1)),sK2(sK0,sK2(sK0,sK1))),sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(resolution,[],[f1550,f531]) ).
fof(f1550,plain,
( ! [X0] :
( ~ l(sK2(sK0,sK2(sK0,sK1)),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1543,f38]) ).
fof(f1614,plain,
( sK0 = product(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1605,f34]) ).
fof(f1605,plain,
( r(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1570,f29]) ).
fof(f1570,plain,
( sK0 != product(sK0,sK0)
| r(sK0,product(sK0,sK2(sK0,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f603,f1412]) ).
fof(f1611,plain,
( sK1 = product(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1604,f34]) ).
fof(f1604,plain,
( r(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1569,f29]) ).
fof(f1569,plain,
( sK1 != product(sK1,sK1)
| r(sK1,product(sK1,sK2(sK1,sK2(sK0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f603,f1373]) ).
fof(f1609,plain,
! [X2,X0,X1] :
( r(product(X0,X1),product(X0,product(X1,X2)))
| product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1)))) ),
inference(forward_demodulation,[],[f1573,f39]) ).
fof(f1573,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| r(product(X0,X1),product(product(X0,X1),X2)) ),
inference(superposition,[],[f603,f39]) ).
fof(f1565,plain,
( sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(sK2(sK2(sK0,sK1),sK1),product(sK2(sK2(sK0,sK1),sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f603,f1370]) ).
fof(f1562,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != X2
| r(X2,product(X2,product(X0,X1))) ),
inference(superposition,[],[f603,f39]) ).
fof(f1591,plain,
! [X0] :
( r(sK2(X0,X0),X0)
| sK2(X0,X0) != X0 ),
inference(forward_demodulation,[],[f1590,f677]) ).
fof(f1590,plain,
! [X0] :
( sK2(X0,X0) != X0
| r(sK2(X0,X0),product(sK2(X0,X0),X0)) ),
inference(forward_demodulation,[],[f1561,f677]) ).
fof(f1561,plain,
! [X0] :
( sK2(X0,X0) != product(sK2(X0,X0),X0)
| r(sK2(X0,X0),product(sK2(X0,X0),X0)) ),
inference(superposition,[],[f603,f314]) ).
fof(f1584,plain,
! [X0,X1] : r(product(X1,product(X0,X1)),product(X1,X0)),
inference(forward_demodulation,[],[f1583,f59]) ).
fof(f1583,plain,
! [X0,X1] : r(product(X1,product(X0,X1)),product(X1,product(X0,product(X1,X0)))),
inference(forward_demodulation,[],[f1582,f39]) ).
fof(f1582,plain,
! [X0,X1] : r(product(X1,product(X0,X1)),product(X1,product(product(X0,X1),X0))),
inference(forward_demodulation,[],[f1581,f39]) ).
fof(f1581,plain,
! [X0,X1] : r(product(X1,product(X0,X1)),product(product(X1,product(X0,X1)),X0)),
inference(trivial_inequality_removal,[],[f1580]) ).
fof(f1580,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,X1))
| r(product(X1,product(X0,X1)),product(product(X1,product(X0,X1)),X0)) ),
inference(forward_demodulation,[],[f1579,f29]) ).
fof(f1579,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X0,X1)))
| r(product(X1,product(X0,X1)),product(product(X1,product(X0,X1)),X0)) ),
inference(forward_demodulation,[],[f1559,f39]) ).
fof(f1559,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X0,X1))
| r(product(X1,product(X0,X1)),product(product(X1,product(X0,X1)),X0)) ),
inference(superposition,[],[f603,f59]) ).
fof(f1578,plain,
! [X0,X1] : r(product(X0,X1),product(X0,product(X1,X0))),
inference(forward_demodulation,[],[f1577,f39]) ).
fof(f1577,plain,
! [X0,X1] : r(product(X0,X1),product(product(X0,X1),X0)),
inference(subsumption_resolution,[],[f1558,f29]) ).
fof(f1558,plain,
! [X0,X1] :
( product(X0,X1) != product(product(X0,X1),product(X0,X1))
| r(product(X0,X1),product(product(X0,X1),X0)) ),
inference(superposition,[],[f603,f55]) ).
fof(f603,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| r(X0,product(X0,X1)) ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f589,plain,
! [X0,X1] :
( product(X0,X1) != product(X0,X1)
| r(X0,product(X0,X1))
| product(X0,product(X1,X0)) != X0 ),
inference(superposition,[],[f168,f55]) ).
fof(f1547,plain,
( r(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1538,f29]) ).
fof(f1538,plain,
( sK0 != product(sK0,sK0)
| r(product(sK0,sK2(sK0,sK2(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f176,f1412]) ).
fof(f1552,plain,
( sK2(sK0,sK2(sK0,sK1)) = product(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1543,f33]) ).
fof(f1543,plain,
( r(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1343,f1361,f1350,f1351,f1353,f1360,f1355,f1365,f1357,f1366,f1359,f1367,f1362,f1369,f1372,f1364,f1374,f1375,f1344,f1377,f1388,f1379,f1382,f1393,f1390,f1399,f1394,f1400,f1402,f1397,f1408,f1407,f1405,f1409,f1410,f1411,f1341,f1428,f1416,f1425,f1431,f1342,f1434,f1453,f1440,f1443,f1457,f1455,f1484,f1462,f1485,f1486,f1487,f1488,f1370,f1503,f1492,f1493,f1495,f1502,f1497,f1505,f1499,f1501,f1373,f1507,f1518,f1509,f1512,f1522,f1523,f1527,f1529,f1412,f1530,f1541]) ).
fof(f1546,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1537,f1412]) ).
fof(f1537,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(sK2(sK0,sK2(sK0,sK1)),sK0))
| product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1412]) ).
fof(f1535,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK2(sK0,sK2(sK0,sK1)))
| l(sK0,product(X0,sK2(sK0,sK2(sK0,sK1))))
| sK0 != product(sK0,product(X0,sK2(sK0,sK2(sK0,sK1)))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1412]) ).
fof(f1532,plain,
( ! [X0] : product(sK0,X0) = product(sK2(sK0,sK2(sK0,sK1)),product(sK0,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1412]) ).
fof(f1541,plain,
( r(sK0,sK2(sK0,sK2(sK0,sK1)))
| sK2(sK0,sK2(sK0,sK1)) != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1531]) ).
fof(f1531,plain,
( sK0 != sK0
| r(sK0,sK2(sK0,sK2(sK0,sK1)))
| sK2(sK0,sK2(sK0,sK1)) != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f35,f1412]) ).
fof(f1530,plain,
( sK0 != sK2(sK0,sK2(sK0,sK1))
| l(sK0,sK2(sK0,sK2(sK0,sK1)))
| sK0 != product(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1412]) ).
fof(f1412,plain,
( sK0 = product(sK2(sK0,sK2(sK0,sK1)),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1405,f50]) ).
fof(f1523,plain,
( r(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK1)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1515,f29]) ).
fof(f1515,plain,
( sK1 != product(sK1,sK1)
| r(product(sK1,sK2(sK1,sK2(sK0,sK1))),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f176,f1373]) ).
fof(f1522,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1514,f1373]) ).
fof(f1514,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(sK2(sK1,sK2(sK0,sK1)),sK1))
| product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1373]) ).
fof(f1512,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,sK2(sK1,sK2(sK0,sK1)))
| l(sK1,product(X0,sK2(sK1,sK2(sK0,sK1))))
| sK1 != product(sK1,product(X0,sK2(sK1,sK2(sK0,sK1)))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1373]) ).
fof(f1509,plain,
( ! [X0] : product(sK1,X0) = product(sK2(sK1,sK2(sK0,sK1)),product(sK1,X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1373]) ).
fof(f1518,plain,
( r(sK1,sK2(sK1,sK2(sK0,sK1)))
| sK2(sK1,sK2(sK0,sK1)) != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1508]) ).
fof(f1508,plain,
( sK1 != sK1
| r(sK1,sK2(sK1,sK2(sK0,sK1)))
| sK2(sK1,sK2(sK0,sK1)) != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f35,f1373]) ).
fof(f1507,plain,
( sK1 != sK2(sK1,sK2(sK0,sK1))
| l(sK1,sK2(sK1,sK2(sK0,sK1)))
| sK1 != product(sK1,sK2(sK1,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1373]) ).
fof(f1373,plain,
( sK1 = product(sK2(sK1,sK2(sK0,sK1)),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1364,f209]) ).
fof(f1501,plain,
( l(sK2(sK2(sK0,sK1),sK1),sK1)
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f392,f1370]) ).
fof(f1499,plain,
( sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| r(product(sK2(sK2(sK0,sK1),sK1),sK1),sK2(sK2(sK0,sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f176,f1370]) ).
fof(f1505,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(sK1,product(sK2(sK2(sK0,sK1),sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1498,f1370]) ).
fof(f1498,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(sK1,sK2(sK2(sK0,sK1),sK1)))
| product(sK1,product(sK2(sK2(sK0,sK1),sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1370]) ).
fof(f1497,plain,
( l(sK1,sK2(sK2(sK0,sK1),sK1))
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f150,f1370]) ).
fof(f1502,plain,
( ! [X0] :
( l(sK2(sK2(sK0,sK1),sK1),product(X0,sK1))
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1496]) ).
fof(f1496,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,sK1)
| l(sK2(sK2(sK0,sK1),sK1),product(X0,sK1))
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1370]) ).
fof(f1493,plain,
( ! [X0] : product(sK1,X0) = product(sK1,product(sK2(sK2(sK0,sK1),sK1),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1370]) ).
fof(f1492,plain,
( sK1 != sK2(sK2(sK0,sK1),sK1)
| r(sK2(sK2(sK0,sK1),sK1),sK1)
| sK1 != product(sK2(sK2(sK0,sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f35,f1370]) ).
fof(f1503,plain,
( l(sK2(sK2(sK0,sK1),sK1),sK1)
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1491]) ).
fof(f1491,plain,
( sK1 != sK1
| l(sK2(sK2(sK0,sK1),sK1),sK1)
| sK2(sK2(sK0,sK1),sK1) != product(sK2(sK2(sK0,sK1),sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f32,f1370]) ).
fof(f1370,plain,
( sK1 = product(sK1,sK2(sK2(sK0,sK1),sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1362,f208]) ).
fof(f1488,plain,
( ! [X0] :
( ~ l(sK0,X0)
| sK2(sK0,sK1) = product(sK2(sK2(sK0,sK1),X0),sK2(sK0,sK1)) )
| ~ spl3_1 ),
inference(resolution,[],[f1462,f50]) ).
fof(f1486,plain,
( ! [X0] :
( ~ l(sK0,X0)
| sK2(sK2(sK0,sK1),X0) = product(sK2(sK0,sK1),sK2(sK2(sK0,sK1),X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f1462,f51]) ).
fof(f1485,plain,
( ! [X0] :
( ~ l(sK0,X0)
| sK2(sK2(sK0,sK1),X0) = product(sK2(sK2(sK0,sK1),X0),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1462,f53]) ).
fof(f1462,plain,
( ! [X0] :
( d(sK2(sK0,sK1),X0)
| ~ l(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1455,f38]) ).
fof(f1484,plain,
( sK1 != product(sK1,product(sK0,sK1))
| sK0 != product(sK0,product(sK1,sK0))
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f28,f43]) ).
fof(f1455,plain,
( r(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1449,f1344]) ).
fof(f1449,plain,
( r(sK2(sK0,sK1),sK0)
| sK0 != product(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1439]) ).
fof(f1439,plain,
( sK2(sK0,sK1) != sK2(sK0,sK1)
| r(sK2(sK0,sK1),sK0)
| sK0 != product(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f35,f1342]) ).
fof(f1457,plain,
( ! [X0] :
( r(X0,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(X0,sK2(sK0,sK1))
| product(sK0,product(sK2(sK0,sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1445,f1342]) ).
fof(f1445,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(X0,sK2(sK0,sK1))
| r(X0,product(sK0,sK2(sK0,sK1)))
| product(sK0,product(sK2(sK0,sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1342]) ).
fof(f1443,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK2(sK0,sK1))
| l(sK2(sK0,sK1),product(X0,sK0))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),product(X0,sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1342]) ).
fof(f1440,plain,
( ! [X0] : product(sK2(sK0,sK1),X0) = product(sK0,product(sK2(sK0,sK1),X0))
| ~ spl3_1 ),
inference(superposition,[],[f39,f1342]) ).
fof(f1453,plain,
( sK0 != sK2(sK0,sK1)
| l(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f1452]) ).
fof(f1452,plain,
( sK0 != sK2(sK0,sK1)
| sK0 != sK2(sK0,sK1)
| l(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1438,f1344]) ).
fof(f1438,plain,
( sK0 != sK2(sK0,sK1)
| l(sK2(sK0,sK1),sK0)
| sK2(sK0,sK1) != product(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f32,f1342]) ).
fof(f1434,plain,
( r(sK2(sK0,sK1),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f1394,f1342]) ).
fof(f1342,plain,
( sK2(sK0,sK1) = product(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f43,f51]) ).
fof(f1431,plain,
( ! [X0] :
( r(X0,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(X0,sK2(sK0,sK1))
| product(sK2(sK0,sK1),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1421,f1341]) ).
fof(f1421,plain,
( ! [X0] :
( sK2(sK0,sK1) != product(X0,sK2(sK0,sK1))
| r(X0,product(sK2(sK0,sK1),sK1))
| product(sK2(sK0,sK1),product(sK1,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1341]) ).
fof(f1425,plain,
( ! [X0] :
( l(sK1,product(X0,sK2(sK0,sK1)))
| sK1 != product(sK1,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1419]) ).
fof(f1419,plain,
( ! [X0] :
( product(X0,sK2(sK0,sK1)) != product(X0,sK2(sK0,sK1))
| l(sK1,product(X0,sK2(sK0,sK1)))
| sK1 != product(sK1,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1341]) ).
fof(f1428,plain,
( sK1 != sK2(sK0,sK1)
| r(sK1,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f1427]) ).
fof(f1427,plain,
( sK1 != sK2(sK0,sK1)
| sK1 != sK2(sK0,sK1)
| r(sK1,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1415,f1343]) ).
fof(f1415,plain,
( sK1 != sK2(sK0,sK1)
| r(sK1,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(sK1,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f35,f1341]) ).
fof(f1341,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f43,f53]) ).
fof(f1411,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1405,f52]) ).
fof(f1410,plain,
( sK2(sK0,sK2(sK0,sK1)) = product(sK0,sK2(sK0,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1405,f51]) ).
fof(f1409,plain,
( sK2(sK0,sK2(sK0,sK1)) = product(sK2(sK0,sK2(sK0,sK1)),sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1405,f53]) ).
fof(f1405,plain,
( d(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1397,f141]) ).
fof(f1407,plain,
( ! [X0] :
( d(sK0,product(X0,sK2(sK0,sK1)))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1397,f392]) ).
fof(f1408,plain,
( d(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1406,f677]) ).
fof(f1406,plain,
( d(sK0,product(sK2(sK2(sK0,sK1),sK2(sK0,sK1)),sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1397,f531]) ).
fof(f1397,plain,
( ! [X0] :
( ~ l(sK2(sK0,sK1),X0)
| d(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1390,f38]) ).
fof(f1402,plain,
( sK0 = product(product(sK0,sK2(sK0,sK1)),sK0)
| ~ spl3_1 ),
inference(resolution,[],[f1394,f33]) ).
fof(f1400,plain,
( ! [X0] :
( ~ l(sK0,X0)
| d(product(sK0,sK2(sK0,sK1)),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1394,f38]) ).
fof(f1394,plain,
( r(product(sK0,sK2(sK0,sK1)),sK0)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1385,f29]) ).
fof(f1385,plain,
( sK0 != product(sK0,sK0)
| r(product(sK0,sK2(sK0,sK1)),sK0)
| ~ spl3_1 ),
inference(superposition,[],[f176,f1344]) ).
fof(f1399,plain,
( sK2(sK0,sK1) = product(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1390,f33]) ).
fof(f1390,plain,
( r(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1341,f1342,f1343,f1361,f1350,f1351,f1353,f1360,f1355,f1365,f1357,f1366,f1359,f1367,f1362,f1369,f1370,f1372,f1364,f1373,f1374,f1375,f1344,f1377,f1388]) ).
fof(f1393,plain,
( ! [X0] :
( r(X0,sK0)
| sK0 != product(X0,sK0)
| product(sK2(sK0,sK1),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1384,f1344]) ).
fof(f1384,plain,
( ! [X0] :
( sK0 != product(X0,sK0)
| r(X0,product(sK2(sK0,sK1),sK0))
| product(sK2(sK0,sK1),product(sK0,X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1344]) ).
fof(f1382,plain,
( ! [X0] :
( product(X0,sK0) != product(X0,sK2(sK0,sK1))
| l(sK0,product(X0,sK2(sK0,sK1)))
| sK0 != product(sK0,product(X0,sK2(sK0,sK1))) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1344]) ).
fof(f1388,plain,
( r(sK0,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1378]) ).
fof(f1378,plain,
( sK0 != sK0
| r(sK0,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f35,f1344]) ).
fof(f1377,plain,
( sK0 != sK2(sK0,sK1)
| l(sK0,sK2(sK0,sK1))
| sK0 != product(sK0,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f32,f1344]) ).
fof(f1375,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1364,f31]) ).
fof(f1374,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK2(sK1,sK2(sK0,sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f1364,f208]) ).
fof(f1364,plain,
( l(sK1,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1341,f1342,f1344,f1343,f1361,f1362,f1350,f1351,f1353,f1360,f1355]) ).
fof(f1372,plain,
( sK2(sK0,sK1) = product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(resolution,[],[f1362,f30]) ).
fof(f1369,plain,
( sK2(sK0,sK1) = product(sK2(sK2(sK0,sK1),sK1),sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f1362,f209]) ).
fof(f1362,plain,
( l(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1341,f1342,f1344,f1343,f1361]) ).
fof(f1367,plain,
( l(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1341,f1342,f1344,f1343,f1361,f1362,f1350,f1351,f1353,f1360,f1355,f1364,f1365,f1357,f1366,f1359]) ).
fof(f1359,plain,
( l(sK2(sK0,sK1),sK1)
| sK2(sK0,sK1) != product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f392,f1343]) ).
fof(f1366,plain,
( r(product(sK2(sK0,sK1),sK1),sK2(sK0,sK1))
| ~ spl3_1 ),
inference(global_subsumption,[],[f28,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743,f744,f176,f1002,f1008,f1015,f959,f1080,f372,f1227,f1228,f1209,f27,f43,f1341,f1342,f1344,f1343,f1361,f1362,f1350,f1351,f1353,f1360,f1355,f1364,f1365,f1357]) ).
fof(f1357,plain,
( sK2(sK0,sK1) != product(sK2(sK0,sK1),sK1)
| r(product(sK2(sK0,sK1),sK1),sK2(sK0,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f176,f1343]) ).
fof(f1365,plain,
( ! [X0] :
( r(X0,sK1)
| sK1 != product(X0,sK1)
| product(sK1,product(sK2(sK0,sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1356,f1343]) ).
fof(f1356,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| r(X0,product(sK1,sK2(sK0,sK1)))
| product(sK1,product(sK2(sK0,sK1),X0)) != X0 )
| ~ spl3_1 ),
inference(superposition,[],[f168,f1343]) ).
fof(f1355,plain,
( l(sK1,sK2(sK0,sK1))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f150,f1343]) ).
fof(f1360,plain,
( ! [X0] :
( l(sK2(sK0,sK1),product(X0,sK1))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1354]) ).
fof(f1354,plain,
( ! [X0] :
( product(X0,sK1) != product(X0,sK1)
| l(sK2(sK0,sK1),product(X0,sK1))
| sK2(sK0,sK1) != product(sK2(sK0,sK1),product(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f133,f1343]) ).
fof(f1353,plain,
( sK1 = product(sK1,product(sK2(sK0,sK1),sK1))
| ~ spl3_1 ),
inference(superposition,[],[f59,f1343]) ).
fof(f1350,plain,
( sK1 != sK2(sK0,sK1)
| r(sK2(sK0,sK1),sK1)
| sK1 != product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f35,f1343]) ).
fof(f1361,plain,
( l(sK2(sK0,sK1),sK1)
| sK2(sK0,sK1) != product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f1349]) ).
fof(f1349,plain,
( sK1 != sK1
| l(sK2(sK0,sK1),sK1)
| sK2(sK0,sK1) != product(sK2(sK0,sK1),sK1)
| ~ spl3_1 ),
inference(superposition,[],[f32,f1343]) ).
fof(f1343,plain,
( sK1 = product(sK1,sK2(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f43,f52]) ).
fof(f27,plain,
( sK1 = product(sK1,product(sK0,sK1))
| d(sK0,sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( sK1 != product(sK1,product(sK0,sK1))
| sK0 != product(sK0,product(sK1,sK0))
| ~ d(sK0,sK1) )
& ( ( sK1 = product(sK1,product(sK0,sK1))
& sK0 = product(sK0,product(sK1,sK0)) )
| d(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
fof(f16,plain,
( ? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) )
=> ( ( sK1 != product(sK1,product(sK0,sK1))
| sK0 != product(sK0,product(sK1,sK0))
| ~ d(sK0,sK1) )
& ( ( sK1 = product(sK1,product(sK0,sK1))
& sK0 = product(sK0,product(sK1,sK0)) )
| d(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0,X1] :
( d(X0,X1)
<~> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X0,X1] :
( d(X0,X1)
<=> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f1209,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| l(product(X0,X1),product(X2,product(X0,X1))) ),
inference(superposition,[],[f372,f39]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( l(X2,product(X0,product(X1,X2)))
| product(X2,product(X0,product(X1,X2))) != X2 ),
inference(forward_demodulation,[],[f1180,f39]) ).
fof(f1180,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != X2
| l(X2,product(product(X0,X1),X2)) ),
inference(superposition,[],[f372,f39]) ).
fof(f372,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| l(X0,product(X1,X0)) ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,X0)
| l(X0,product(X1,X0))
| product(X0,product(X1,X0)) != X0 ),
inference(superposition,[],[f133,f29]) ).
fof(f1080,plain,
! [X2,X0,X1] :
( r(product(X0,product(X1,X2)),product(X0,X1))
| product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1)))) ),
inference(forward_demodulation,[],[f986,f39]) ).
fof(f986,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,product(X0,X1))))
| r(product(product(X0,X1),X2),product(X0,X1)) ),
inference(superposition,[],[f176,f39]) ).
fof(f959,plain,
! [X2,X0,X1] :
( product(X2,product(X0,product(X1,X2))) != X2
| r(product(X2,product(X0,X1)),X2) ),
inference(superposition,[],[f176,f39]) ).
fof(f1015,plain,
! [X0] :
( r(X0,sK2(X0,X0))
| sK2(X0,X0) != X0 ),
inference(forward_demodulation,[],[f1014,f677]) ).
fof(f1014,plain,
! [X0] :
( sK2(X0,X0) != X0
| r(product(sK2(X0,X0),X0),sK2(X0,X0)) ),
inference(forward_demodulation,[],[f958,f677]) ).
fof(f958,plain,
! [X0] :
( sK2(X0,X0) != product(sK2(X0,X0),X0)
| r(product(sK2(X0,X0),X0),sK2(X0,X0)) ),
inference(superposition,[],[f176,f314]) ).
fof(f176,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| r(product(X0,X1),X0) ),
inference(forward_demodulation,[],[f173,f39]) ).
fof(f173,plain,
! [X0,X1] :
( r(product(X0,X1),X0)
| product(product(X0,X1),X0) != X0 ),
inference(trivial_inequality_removal,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( product(X0,X1) != product(X0,X1)
| r(product(X0,X1),X0)
| product(product(X0,X1),X0) != X0 ),
inference(superposition,[],[f35,f55]) ).
fof(f744,plain,
! [X0,X1] :
( l(X1,product(X0,X1))
| product(X1,product(X0,X1)) != X1 ),
inference(global_subsumption,[],[f28,f27,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f176,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f372,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740,f741,f742,f733,f732,f743]) ).
fof(f743,plain,
! [X0,X1] :
( product(X0,X1) != product(sK2(product(X0,X1),product(X0,X1)),X0)
| l(X1,product(X0,X1))
| product(X1,product(X0,X1)) != X1 ),
inference(inner_rewriting,[],[f732]) ).
fof(f732,plain,
! [X0,X1] :
( product(X0,X1) != product(sK2(product(X0,X1),product(X0,X1)),X0)
| l(X1,product(sK2(product(X0,X1),product(X0,X1)),X0))
| product(X1,product(sK2(product(X0,X1),product(X0,X1)),X0)) != X1 ),
inference(superposition,[],[f133,f677]) ).
fof(f733,plain,
! [X0,X1] :
( r(sK2(product(X0,X1),product(X0,X1)),product(X0,X1))
| sK2(product(X0,X1),product(X0,X1)) != product(X0,product(X1,sK2(product(X0,X1),product(X0,X1)))) ),
inference(trivial_inequality_removal,[],[f731]) ).
fof(f731,plain,
! [X0,X1] :
( product(X0,X1) != product(X0,X1)
| r(sK2(product(X0,X1),product(X0,X1)),product(X0,X1))
| sK2(product(X0,X1),product(X0,X1)) != product(X0,product(X1,sK2(product(X0,X1),product(X0,X1)))) ),
inference(superposition,[],[f168,f677]) ).
fof(f742,plain,
! [X0,X1] :
( r(X1,X0)
| product(X1,X0) != X0
| product(sK2(X0,X0),product(X0,X1)) != X1 ),
inference(forward_demodulation,[],[f729,f677]) ).
fof(f729,plain,
! [X0,X1] :
( product(X1,X0) != X0
| r(X1,product(sK2(X0,X0),X0))
| product(sK2(X0,X0),product(X0,X1)) != X1 ),
inference(superposition,[],[f168,f677]) ).
fof(f741,plain,
! [X0,X1] :
( l(X0,product(X1,X0))
| product(X0,product(X1,X0)) != X0 ),
inference(global_subsumption,[],[f28,f27,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f142,f143,f144,f147,f148,f35,f176,f179,f180,f141,f175,f198,f206,f207,f197,f242,f243,f244,f245,f150,f246,f247,f260,f261,f251,f208,f317,f320,f133,f372,f373,f375,f344,f390,f407,f314,f416,f430,f418,f419,f429,f423,f424,f421,f500,f523,f525,f528,f509,f520,f532,f534,f531,f535,f536,f538,f392,f539,f540,f541,f542,f563,f564,f547,f548,f168,f611,f613,f614,f616,f603,f656,f657,f659,f595,f209,f678,f679,f680,f681,f690,f677,f735,f737,f724,f727,f740]) ).
fof(f740,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,sK2(X0,X0))
| l(X0,product(X1,X0))
| product(X0,product(X1,X0)) != X0 ),
inference(inner_rewriting,[],[f727]) ).
fof(f727,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,sK2(X0,X0))
| l(X0,product(X1,sK2(X0,X0)))
| product(X0,product(X1,sK2(X0,X0))) != X0 ),
inference(superposition,[],[f133,f677]) ).
fof(f724,plain,
! [X0,X1] : product(X0,X1) = product(sK2(X0,X0),product(X0,X1)),
inference(superposition,[],[f39,f677]) ).
fof(f737,plain,
! [X0] :
( sK2(X0,X0) != X0
| r(X0,sK2(X0,X0)) ),
inference(forward_demodulation,[],[f734,f314]) ).
fof(f734,plain,
! [X0] :
( r(X0,sK2(X0,X0))
| sK2(X0,X0) != product(X0,sK2(X0,X0)) ),
inference(trivial_inequality_removal,[],[f723]) ).
fof(f723,plain,
! [X0] :
( X0 != X0
| r(X0,sK2(X0,X0))
| sK2(X0,X0) != product(X0,sK2(X0,X0)) ),
inference(superposition,[],[f35,f677]) ).
fof(f735,plain,
! [X0] :
( sK2(X0,X0) != X0
| l(X0,sK2(X0,X0)) ),
inference(subsumption_resolution,[],[f722,f314]) ).
fof(f722,plain,
! [X0] :
( sK2(X0,X0) != X0
| l(X0,sK2(X0,X0))
| product(X0,sK2(X0,X0)) != X0 ),
inference(superposition,[],[f32,f677]) ).
fof(f677,plain,
! [X0] : product(sK2(X0,X0),X0) = X0,
inference(resolution,[],[f209,f141]) ).
fof(f690,plain,
! [X0,X1] :
( sK2(X0,X1) = product(sK2(sK2(X0,X1),X1),sK2(X0,X1))
| ~ d(X0,X1) ),
inference(resolution,[],[f209,f37]) ).
fof(f681,plain,
! [X0,X1] :
( product(X0,X1) = product(sK2(product(X0,X1),X1),product(X0,X1))
| product(X1,X0) != X1 ),
inference(resolution,[],[f209,f150]) ).
fof(f680,plain,
! [X0] : product(sK2(X0,X0),X0) = product(sK2(product(sK2(X0,X0),X0),X0),product(sK2(X0,X0),X0)),
inference(resolution,[],[f209,f520]) ).
fof(f679,plain,
! [X0,X1] :
( product(sK2(X0,product(X1,X0)),X0) = X0
| product(X0,X1) != X0 ),
inference(resolution,[],[f209,f392]) ).
fof(f678,plain,
! [X0] : product(sK2(X0,product(sK2(X0,X0),X0)),X0) = X0,
inference(resolution,[],[f209,f531]) ).
fof(f209,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(sK2(X0,X1),X0) = X0 ),
inference(resolution,[],[f198,f50]) ).
fof(f595,plain,
! [X2,X3,X0,X1] :
( product(X2,X3) != product(X0,product(X1,product(X2,X3)))
| r(product(X0,X1),product(X2,X3))
| product(X0,X1) != product(X2,product(X3,product(X0,X1))) ),
inference(superposition,[],[f168,f39]) ).
fof(f659,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| r(X0,product(sK2(X0,X0),X0)) ),
inference(duplicate_literal_removal,[],[f658]) ).
fof(f658,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| product(sK2(X0,X0),X0) != X0
| r(X0,product(sK2(X0,X0),X0)) ),
inference(forward_demodulation,[],[f591,f29]) ).
fof(f591,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| r(X0,product(sK2(X0,X0),X0))
| product(sK2(X0,X0),product(X0,X0)) != X0 ),
inference(superposition,[],[f168,f421]) ).
fof(f657,plain,
! [X0,X1] :
( product(X1,X0) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(X0,product(X0,X1)) ),
inference(inner_rewriting,[],[f656]) ).
fof(f656,plain,
! [X0,X1] :
( product(X1,X0) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f655,f59]) ).
fof(f655,plain,
! [X0,X1] :
( product(X1,product(X0,product(X1,X0))) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(X0,product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f590,f39]) ).
fof(f590,plain,
! [X0,X1] :
( product(X0,X1) != product(X1,product(X0,X1))
| r(X0,product(X1,product(X0,X1)))
| product(X1,product(product(X0,X1),X0)) != X0 ),
inference(superposition,[],[f168,f59]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,product(X2,X3))) != X3
| r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2))) ),
inference(forward_demodulation,[],[f615,f39]) ).
fof(f615,plain,
! [X2,X3,X0,X1] :
( r(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| product(product(X0,X1),product(X2,X3)) != X3 ),
inference(forward_demodulation,[],[f576,f39]) ).
fof(f576,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X3,product(X0,product(X1,X2)))
| r(X3,product(product(X0,X1),X2))
| product(product(X0,X1),product(X2,X3)) != X3 ),
inference(superposition,[],[f168,f39]) ).
fof(f614,plain,
! [X0,X1] :
( r(X1,X0)
| product(X1,X0) != X0
| product(X0,product(sK2(X0,X0),X1)) != X1 ),
inference(forward_demodulation,[],[f575,f314]) ).
fof(f575,plain,
! [X0,X1] :
( product(X1,X0) != X0
| r(X1,product(X0,sK2(X0,X0)))
| product(X0,product(sK2(X0,X0),X1)) != X1 ),
inference(superposition,[],[f168,f314]) ).
fof(f613,plain,
! [X0,X1] :
( product(X0,product(sK2(X0,X0),product(X0,X1))) != X1
| r(X1,X0)
| product(X1,X0) != X0 ),
inference(forward_demodulation,[],[f612,f39]) ).
fof(f612,plain,
! [X0,X1] :
( r(X1,X0)
| product(X1,X0) != X0
| product(X0,product(product(sK2(X0,X0),X0),X1)) != X1 ),
inference(forward_demodulation,[],[f574,f421]) ).
fof(f574,plain,
! [X0,X1] :
( product(X1,X0) != X0
| r(X1,product(X0,product(sK2(X0,X0),X0)))
| product(X0,product(product(sK2(X0,X0),X0),X1)) != X1 ),
inference(superposition,[],[f168,f421]) ).
fof(f611,plain,
! [X2,X0,X1] :
( product(X0,product(X1,product(X0,product(X1,X2)))) != X2
| r(X2,product(X0,X1))
| product(X0,X1) != product(X2,product(X0,X1)) ),
inference(forward_demodulation,[],[f610,f39]) ).
fof(f610,plain,
! [X2,X0,X1] :
( product(X0,product(X1,product(product(X0,X1),X2))) != X2
| r(X2,product(X0,X1))
| product(X0,X1) != product(X2,product(X0,X1)) ),
inference(forward_demodulation,[],[f609,f39]) ).
fof(f609,plain,
! [X2,X0,X1] :
( r(X2,product(X0,X1))
| product(X0,X1) != product(X2,product(X0,X1))
| product(X0,product(product(X1,product(X0,X1)),X2)) != X2 ),
inference(forward_demodulation,[],[f573,f59]) ).
fof(f573,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,X1))
| r(X2,product(X0,product(X1,product(X0,X1))))
| product(X0,product(product(X1,product(X0,X1)),X2)) != X2 ),
inference(superposition,[],[f168,f59]) ).
fof(f168,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X2,product(X0,X1))
| r(X2,product(X0,X1))
| product(X0,product(X1,X2)) != X2 ),
inference(superposition,[],[f35,f39]) ).
fof(f548,plain,
! [X2,X0,X1] :
( l(X2,product(X0,product(X1,X2)))
| product(X2,product(X0,X1)) != X2 ),
inference(superposition,[],[f392,f39]) ).
fof(f547,plain,
! [X0] :
( l(sK2(X0,X0),X0)
| sK2(X0,X0) != product(sK2(X0,X0),X0) ),
inference(superposition,[],[f392,f314]) ).
fof(f564,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| l(product(X1,X0),product(X0,X1)) ),
inference(inner_rewriting,[],[f563]) ).
fof(f563,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| l(product(X1,product(X0,X1)),product(X0,X1)) ),
inference(forward_demodulation,[],[f562,f59]) ).
fof(f562,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,product(X1,X0)))
| l(product(X1,product(X0,X1)),product(X0,X1)) ),
inference(forward_demodulation,[],[f561,f39]) ).
fof(f561,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),X0))
| l(product(X1,product(X0,X1)),product(X0,X1)) ),
inference(forward_demodulation,[],[f545,f39]) ).
fof(f545,plain,
! [X0,X1] :
( l(product(X1,product(X0,X1)),product(X0,X1))
| product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),X0) ),
inference(superposition,[],[f392,f59]) ).
fof(f542,plain,
! [X2,X0,X1] :
( sK2(X0,X1) != product(sK2(X0,X1),X2)
| d(X0,product(X2,sK2(X0,X1)))
| ~ d(X0,X1) ),
inference(resolution,[],[f392,f54]) ).
fof(f541,plain,
! [X0,X1] :
( product(X0,X1) != X0
| product(X0,product(X1,X0)) = X0 ),
inference(resolution,[],[f392,f30]) ).
fof(f540,plain,
! [X0,X1] :
( product(X0,X1) != X0
| product(X1,X0) = product(product(X1,X0),X0) ),
inference(resolution,[],[f392,f31]) ).
fof(f539,plain,
! [X0,X1] :
( product(X0,X1) != X0
| product(X1,X0) = product(product(X1,X0),sK2(X0,product(X1,X0))) ),
inference(resolution,[],[f392,f208]) ).
fof(f392,plain,
! [X0,X1] :
( l(X1,product(X0,X1))
| product(X1,X0) != X1 ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f391,plain,
! [X0,X1] :
( product(X1,X0) != X1
| l(X1,product(X0,X1))
| product(X0,X1) != product(X0,X1) ),
inference(inner_rewriting,[],[f390]) ).
fof(f538,plain,
! [X0,X1] :
( d(X0,product(sK2(sK2(X0,X1),sK2(X0,X1)),sK2(X0,X1)))
| ~ d(X0,X1) ),
inference(resolution,[],[f531,f54]) ).
fof(f536,plain,
! [X0] : product(sK2(X0,X0),X0) = product(product(sK2(X0,X0),X0),X0),
inference(resolution,[],[f531,f31]) ).
fof(f535,plain,
! [X0] : product(sK2(X0,X0),X0) = product(product(sK2(X0,X0),X0),sK2(X0,product(sK2(X0,X0),X0))),
inference(resolution,[],[f531,f208]) ).
fof(f531,plain,
! [X0] : l(X0,product(sK2(X0,X0),X0)),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f530,plain,
! [X0] :
( product(sK2(X0,X0),X0) != product(sK2(X0,X0),X0)
| l(X0,product(sK2(X0,X0),X0)) ),
inference(forward_demodulation,[],[f529,f29]) ).
fof(f529,plain,
! [X0] :
( product(sK2(X0,X0),X0) != product(sK2(X0,X0),product(X0,X0))
| l(X0,product(sK2(X0,X0),X0)) ),
inference(forward_demodulation,[],[f508,f39]) ).
fof(f508,plain,
! [X0] :
( l(X0,product(sK2(X0,X0),X0))
| product(sK2(X0,X0),X0) != product(product(sK2(X0,X0),X0),X0) ),
inference(superposition,[],[f150,f421]) ).
fof(f534,plain,
! [X0] : product(sK2(X0,X0),X0) = product(product(sK2(X0,X0),X0),X0),
inference(resolution,[],[f520,f30]) ).
fof(f532,plain,
! [X0] : product(X0,sK2(product(sK2(X0,X0),X0),X0)) = X0,
inference(resolution,[],[f520,f208]) ).
fof(f520,plain,
! [X0] : l(product(sK2(X0,X0),X0),X0),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
! [X0] :
( product(sK2(X0,X0),X0) != product(sK2(X0,X0),X0)
| l(product(sK2(X0,X0),X0),X0) ),
inference(forward_demodulation,[],[f518,f29]) ).
fof(f518,plain,
! [X0] :
( product(sK2(X0,X0),X0) != product(sK2(X0,X0),product(X0,X0))
| l(product(sK2(X0,X0),X0),X0) ),
inference(forward_demodulation,[],[f515,f39]) ).
fof(f515,plain,
! [X0] :
( l(product(sK2(X0,X0),X0),X0)
| product(sK2(X0,X0),X0) != product(product(sK2(X0,X0),X0),X0) ),
inference(trivial_inequality_removal,[],[f502]) ).
fof(f502,plain,
! [X0] :
( X0 != X0
| l(product(sK2(X0,X0),X0),X0)
| product(sK2(X0,X0),X0) != product(product(sK2(X0,X0),X0),X0) ),
inference(superposition,[],[f32,f421]) ).
fof(f509,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(sK2(product(X0,X1),product(X0,X1)),product(X0,X1)))),
inference(superposition,[],[f39,f421]) ).
fof(f528,plain,
! [X0,X1] :
( product(sK2(X0,X0),X0) != product(sK2(X0,X0),product(X0,product(X1,X0)))
| l(product(sK2(X0,X0),X0),product(X1,X0)) ),
inference(forward_demodulation,[],[f514,f39]) ).
fof(f514,plain,
! [X0,X1] :
( l(product(sK2(X0,X0),X0),product(X1,X0))
| product(sK2(X0,X0),X0) != product(product(sK2(X0,X0),X0),product(X1,X0)) ),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f507,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,X0)
| l(product(sK2(X0,X0),X0),product(X1,X0))
| product(sK2(X0,X0),X0) != product(product(sK2(X0,X0),X0),product(X1,X0)) ),
inference(superposition,[],[f133,f421]) ).
fof(f525,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(sK2(X0,X0),product(X0,X1))),
inference(forward_demodulation,[],[f504,f39]) ).
fof(f504,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(product(sK2(X0,X0),X0),X1)),
inference(superposition,[],[f39,f421]) ).
fof(f523,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| r(product(sK2(X0,X0),X0),X0) ),
inference(duplicate_literal_removal,[],[f522]) ).
fof(f522,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| product(sK2(X0,X0),X0) != X0
| r(product(sK2(X0,X0),X0),X0) ),
inference(forward_demodulation,[],[f521,f29]) ).
fof(f521,plain,
! [X0] :
( product(sK2(X0,X0),product(X0,X0)) != X0
| product(sK2(X0,X0),X0) != X0
| r(product(sK2(X0,X0),X0),X0) ),
inference(forward_demodulation,[],[f503,f39]) ).
fof(f503,plain,
! [X0] :
( product(sK2(X0,X0),X0) != X0
| r(product(sK2(X0,X0),X0),X0)
| product(product(sK2(X0,X0),X0),X0) != X0 ),
inference(superposition,[],[f35,f421]) ).
fof(f500,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(sK2(product(X0,X1),product(X0,X1)),product(X0,X1)))),
inference(superposition,[],[f421,f39]) ).
fof(f421,plain,
! [X0] : product(X0,product(sK2(X0,X0),X0)) = X0,
inference(superposition,[],[f59,f314]) ).
fof(f424,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,sK2(product(X0,X1),product(X0,X1)))),
inference(superposition,[],[f39,f314]) ).
fof(f423,plain,
! [X0] :
( l(X0,sK2(X0,X0))
| sK2(X0,X0) != product(sK2(X0,X0),X0) ),
inference(superposition,[],[f150,f314]) ).
fof(f429,plain,
! [X0,X1] :
( l(sK2(X0,X0),product(X1,X0))
| sK2(X0,X0) != product(sK2(X0,X0),product(X1,X0)) ),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f422,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,X0)
| l(sK2(X0,X0),product(X1,X0))
| sK2(X0,X0) != product(sK2(X0,X0),product(X1,X0)) ),
inference(superposition,[],[f133,f314]) ).
fof(f419,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(sK2(X0,X0),X1)),
inference(superposition,[],[f39,f314]) ).
fof(f418,plain,
! [X0] :
( sK2(X0,X0) != X0
| r(sK2(X0,X0),X0)
| product(sK2(X0,X0),X0) != X0 ),
inference(superposition,[],[f35,f314]) ).
fof(f430,plain,
! [X0] :
( l(sK2(X0,X0),X0)
| sK2(X0,X0) != product(sK2(X0,X0),X0) ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f417,plain,
! [X0] :
( X0 != X0
| l(sK2(X0,X0),X0)
| sK2(X0,X0) != product(sK2(X0,X0),X0) ),
inference(superposition,[],[f32,f314]) ).
fof(f416,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,sK2(product(X0,X1),product(X0,X1)))),
inference(superposition,[],[f314,f39]) ).
fof(f314,plain,
! [X0] : product(X0,sK2(X0,X0)) = X0,
inference(resolution,[],[f208,f141]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( product(X3,product(X0,product(X1,X2))) != X3
| l(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,X3))) ),
inference(forward_demodulation,[],[f406,f39]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( l(X3,product(X0,product(X1,X2)))
| product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,X3)))
| product(X3,product(product(X0,X1),X2)) != X3 ),
inference(forward_demodulation,[],[f405,f39]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( product(X0,product(X1,X2)) != product(X0,product(X1,product(X2,X3)))
| l(X3,product(product(X0,X1),X2))
| product(X3,product(product(X0,X1),X2)) != X3 ),
inference(forward_demodulation,[],[f360,f39]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( product(product(X0,X1),X2) != product(X0,product(X1,product(X2,X3)))
| l(X3,product(product(X0,X1),X2))
| product(X3,product(product(X0,X1),X2)) != X3 ),
inference(superposition,[],[f133,f39]) ).
fof(f390,plain,
! [X0,X1] :
( product(X1,X0) != X1
| l(X1,product(X0,product(X1,X0)))
| product(X0,X1) != product(X0,product(X1,X0)) ),
inference(forward_demodulation,[],[f389,f59]) ).
fof(f389,plain,
! [X0,X1] :
( product(X1,product(X0,product(X1,X0))) != X1
| l(X1,product(X0,product(X1,X0)))
| product(X0,X1) != product(X0,product(X1,X0)) ),
inference(forward_demodulation,[],[f388,f39]) ).
fof(f388,plain,
! [X0,X1] :
( l(X1,product(X0,product(X1,X0)))
| product(X0,X1) != product(X0,product(X1,X0))
| product(X1,product(product(X0,X1),X0)) != X1 ),
inference(forward_demodulation,[],[f387,f39]) ).
fof(f387,plain,
! [X0,X1] :
( product(X0,X1) != product(X0,product(X1,X0))
| l(X1,product(product(X0,X1),X0))
| product(X1,product(product(X0,X1),X0)) != X1 ),
inference(forward_demodulation,[],[f357,f39]) ).
fof(f357,plain,
! [X0,X1] :
( product(X0,X1) != product(product(X0,X1),X0)
| l(X1,product(product(X0,X1),X0))
| product(X1,product(product(X0,X1),X0)) != X1 ),
inference(superposition,[],[f133,f29]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( product(X3,product(X0,X1)) != product(X3,product(X0,product(X1,X2)))
| l(X2,product(X3,product(X0,X1)))
| product(X2,product(X3,product(X0,X1))) != X2 ),
inference(superposition,[],[f133,f39]) ).
fof(f375,plain,
! [X2,X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,product(X1,product(X2,X0))))
| product(X2,X0) != product(X2,product(X0,X1))
| l(product(X1,product(X0,X1)),product(X2,X0)) ),
inference(forward_demodulation,[],[f374,f39]) ).
fof(f374,plain,
! [X2,X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),product(X2,X0)))
| product(X2,X0) != product(X2,product(X0,X1))
| l(product(X1,product(X0,X1)),product(X2,X0)) ),
inference(forward_demodulation,[],[f343,f39]) ).
fof(f343,plain,
! [X2,X0,X1] :
( product(X2,X0) != product(X2,product(X0,X1))
| l(product(X1,product(X0,X1)),product(X2,X0))
| product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),product(X2,X0)) ),
inference(superposition,[],[f133,f59]) ).
fof(f373,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,product(X2,X0)))
| product(X2,X0) != product(X2,product(X0,X1))
| l(product(X0,X1),product(X2,X0)) ),
inference(forward_demodulation,[],[f342,f39]) ).
fof(f342,plain,
! [X2,X0,X1] :
( product(X2,X0) != product(X2,product(X0,X1))
| l(product(X0,X1),product(X2,X0))
| product(X0,X1) != product(product(X0,X1),product(X2,X0)) ),
inference(superposition,[],[f133,f55]) ).
fof(f133,plain,
! [X2,X0,X1] :
( product(X0,X1) != product(X0,product(X1,X2))
| l(X2,product(X0,X1))
| product(X2,product(X0,X1)) != X2 ),
inference(superposition,[],[f32,f39]) ).
fof(f320,plain,
! [X0,X1] :
( product(X0,sK2(sK2(X1,X0),X0)) = X0
| ~ d(X1,X0) ),
inference(resolution,[],[f208,f37]) ).
fof(f317,plain,
! [X0,X1] :
( product(X0,sK2(product(X1,X0),X0)) = X0
| product(X0,X1) != X0 ),
inference(resolution,[],[f208,f150]) ).
fof(f208,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X1,sK2(X0,X1)) = X1 ),
inference(resolution,[],[f198,f52]) ).
fof(f251,plain,
! [X2,X0,X1] :
( l(product(X0,product(X1,X2)),X2)
| product(X2,product(X0,X1)) != X2 ),
inference(superposition,[],[f150,f39]) ).
fof(f261,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| l(product(X0,X1),product(X1,X0)) ),
inference(inner_rewriting,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| l(product(X0,X1),product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f259,f59]) ).
fof(f259,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,product(X1,X0)))
| l(product(X0,X1),product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f258,f39]) ).
fof(f258,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),X0))
| l(product(X0,X1),product(X1,product(X0,X1))) ),
inference(forward_demodulation,[],[f250,f39]) ).
fof(f250,plain,
! [X0,X1] :
( l(product(X0,X1),product(X1,product(X0,X1)))
| product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),X0) ),
inference(superposition,[],[f150,f59]) ).
fof(f247,plain,
! [X0,X1] :
( product(X0,X1) != X0
| product(X1,X0) = product(product(X1,X0),X0) ),
inference(resolution,[],[f150,f30]) ).
fof(f246,plain,
! [X0,X1] :
( product(X0,X1) != X0
| product(X0,product(X1,X0)) = X0 ),
inference(resolution,[],[f150,f31]) ).
fof(f150,plain,
! [X0,X1] :
( l(product(X1,X0),X0)
| product(X0,X1) != X0 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,X0)
| product(X0,X1) != X0
| l(product(X1,X0),X0) ),
inference(inner_rewriting,[],[f148]) ).
fof(f245,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(sK2(X0,sK2(X0,X1)),X0) = X0 ),
inference(resolution,[],[f197,f50]) ).
fof(f244,plain,
! [X0,X1] :
( ~ d(X0,X1)
| sK2(X0,X1) = product(sK2(X0,X1),sK2(X0,sK2(X0,X1))) ),
inference(resolution,[],[f197,f52]) ).
fof(f243,plain,
! [X0,X1] :
( ~ d(X0,X1)
| sK2(X0,sK2(X0,X1)) = product(X0,sK2(X0,sK2(X0,X1))) ),
inference(resolution,[],[f197,f51]) ).
fof(f242,plain,
! [X0,X1] :
( ~ d(X0,X1)
| sK2(X0,sK2(X0,X1)) = product(sK2(X0,sK2(X0,X1)),sK2(X0,X1)) ),
inference(resolution,[],[f197,f53]) ).
fof(f197,plain,
! [X0,X1] :
( d(X0,sK2(X0,X1))
| ~ d(X0,X1) ),
inference(resolution,[],[f141,f54]) ).
fof(f207,plain,
! [X0,X1] :
( ~ l(X0,X1)
| sK2(X0,X1) = product(X0,sK2(X0,X1)) ),
inference(resolution,[],[f198,f51]) ).
fof(f206,plain,
! [X0,X1] :
( ~ l(X0,X1)
| sK2(X0,X1) = product(sK2(X0,X1),X1) ),
inference(resolution,[],[f198,f53]) ).
fof(f198,plain,
! [X0,X1] :
( d(X0,X1)
| ~ l(X0,X1) ),
inference(resolution,[],[f175,f38]) ).
fof(f175,plain,
! [X0] : r(X0,X0),
inference(subsumption_resolution,[],[f174,f29]) ).
fof(f174,plain,
! [X0] :
( r(X0,X0)
| product(X0,X0) != X0 ),
inference(trivial_inequality_removal,[],[f165]) ).
fof(f165,plain,
! [X0] :
( X0 != X0
| r(X0,X0)
| product(X0,X0) != X0 ),
inference(superposition,[],[f35,f29]) ).
fof(f141,plain,
! [X0] : l(X0,X0),
inference(subsumption_resolution,[],[f140,f29]) ).
fof(f140,plain,
! [X0] :
( l(X0,X0)
| product(X0,X0) != X0 ),
inference(trivial_inequality_removal,[],[f130]) ).
fof(f130,plain,
! [X0] :
( X0 != X0
| l(X0,X0)
| product(X0,X0) != X0 ),
inference(superposition,[],[f32,f29]) ).
fof(f180,plain,
! [X0,X1] :
( product(X1,X0) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(product(X0,X1),X0) ),
inference(inner_rewriting,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( product(X1,X0) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f178,f59]) ).
fof(f178,plain,
! [X0,X1] :
( product(X1,product(X0,product(X1,X0))) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f177,f39]) ).
fof(f177,plain,
! [X0,X1] :
( product(X1,product(product(X0,X1),X0)) != X0
| product(X0,X1) != product(X1,product(X0,X1))
| r(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f167,f39]) ).
fof(f167,plain,
! [X0,X1] :
( product(X0,X1) != product(X1,product(X0,X1))
| r(product(X1,product(X0,X1)),X0)
| product(product(X1,product(X0,X1)),X0) != X0 ),
inference(superposition,[],[f35,f59]) ).
fof(f35,plain,
! [X0,X1] :
( product(X1,X0) != X0
| r(X0,X1)
| product(X0,X1) != X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| product(X0,X1) != X0
| l(product(X1,X0),X0) ),
inference(inner_rewriting,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( product(X1,X0) != product(X1,product(X0,X1))
| product(X0,X1) != X0
| l(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f146,f59]) ).
fof(f146,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(X0,product(X1,X0)))
| product(X0,X1) != X0
| l(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f145,f39]) ).
fof(f145,plain,
! [X0,X1] :
( product(X1,product(X0,X1)) != product(X1,product(product(X0,X1),X0))
| product(X0,X1) != X0
| l(product(X1,product(X0,X1)),X0) ),
inference(forward_demodulation,[],[f132,f39]) ).
fof(f132,plain,
! [X0,X1] :
( product(X0,X1) != X0
| l(product(X1,product(X0,X1)),X0)
| product(X1,product(X0,X1)) != product(product(X1,product(X0,X1)),X0) ),
inference(superposition,[],[f32,f59]) ).
fof(f144,plain,
! [X0] : l(X0,X0),
inference(global_subsumption,[],[f28,f27,f35,f29,f26,f30,f31,f33,f34,f36,f37,f38,f39,f60,f55,f81,f91,f93,f50,f52,f54,f59,f99,f105,f126,f128,f129,f51,f53,f32,f141,f142,f143]) ).
fof(f143,plain,
! [X0,X1] :
( product(X0,product(X1,X0)) != X0
| product(X0,X1) != X0
| l(X0,X0) ),
inference(inner_rewriting,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( product(X0,X1) != product(X0,product(X1,X0))
| product(X0,X1) != X0
| l(product(X0,X1),X0) ),
inference(forward_demodulation,[],[f131,f39]) ).
fof(f131,plain,
! [X0,X1] :
( product(X0,X1) != X0
| l(product(X0,X1),X0)
| product(X0,X1) != product(product(X0,X1),X0) ),
inference(superposition,[],[f32,f55]) ).
fof(f32,plain,
! [X0,X1] :
( product(X1,X0) != X1
| l(X0,X1)
| product(X0,X1) != X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f53,plain,
! [X0,X1] :
( ~ d(X0,X1)
| sK2(X0,X1) = product(sK2(X0,X1),X1) ),
inference(resolution,[],[f37,f30]) ).
fof(f51,plain,
! [X0,X1] :
( ~ d(X0,X1)
| sK2(X0,X1) = product(X0,sK2(X0,X1)) ),
inference(resolution,[],[f36,f33]) ).
fof(f129,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X2,product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f111,f39]) ).
fof(f111,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(X2,product(product(X0,X1),X2)))),
inference(superposition,[],[f39,f59]) ).
fof(f128,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f127,f39]) ).
fof(f127,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(forward_demodulation,[],[f110,f39]) ).
fof(f110,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(product(X1,product(X0,X1)),X2)),
inference(superposition,[],[f39,f59]) ).
fof(f126,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X2,product(X0,product(X1,X2))))),
inference(forward_demodulation,[],[f107,f39]) ).
fof(f107,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(X2,product(product(X0,X1),X2)))),
inference(superposition,[],[f59,f39]) ).
fof(f105,plain,
! [X2,X0,X1] : product(X2,product(X0,X1)) = product(X2,product(X0,product(X1,product(X2,product(X0,X1))))),
inference(superposition,[],[f59,f39]) ).
fof(f59,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(superposition,[],[f39,f29]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ l(sK2(X0,X1),X2)
| d(X0,X2)
| ~ d(X0,X1) ),
inference(resolution,[],[f38,f36]) ).
fof(f52,plain,
! [X0,X1] :
( ~ d(X0,X1)
| product(X1,sK2(X0,X1)) = X1 ),
inference(resolution,[],[f37,f31]) ).
fof(f93,plain,
! [X2,X0,X1] : product(X0,product(X1,X2)) = product(X0,product(X1,product(X0,product(X1,X2)))),
inference(forward_demodulation,[],[f88,f39]) ).
fof(f88,plain,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(X1,product(product(X0,X1),X2))),
inference(superposition,[],[f39,f55]) ).
fof(f55,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X0,X1)),
inference(superposition,[],[f39,f29]) ).
fof(f60,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(superposition,[],[f29,f39]) ).
fof(f39,plain,
! [X2,X0,X1] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ r(X0,X2)
| ~ l(X2,X1)
| d(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
! [X0,X1] :
( l(sK2(X0,X1),X1)
| ~ d(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X0,X1) = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X1,X0) = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f26,plain,
( sK0 = product(sK0,product(sK1,sK0))
| d(sK0,sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] : product(X0,X0) = X0,
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f28,plain,
( sK1 != product(sK1,product(sK0,sK1))
| sK0 != product(sK0,product(sK1,sK0))
| ~ d(sK0,sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f2753,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2752,plain,
( $false
| spl3_3 ),
inference(subsumption_resolution,[],[f2751,f141]) ).
fof(f2751,plain,
( ~ l(sK1,sK1)
| spl3_3 ),
inference(resolution,[],[f2744,f198]) ).
fof(f2744,plain,
( ~ d(sK1,sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f2743,plain,
( spl3_3
<=> d(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f2750,plain,
( spl3_3
| ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f2735,f41,f2747,f2743]) ).
fof(f2747,plain,
( spl3_4
<=> sK1 = sK2(sK1,sK2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f1481,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f1467,f1413]) ).
fof(f1413,plain,
( sK1 != product(sK1,product(sK0,sK1))
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f1340,f43]) ).
fof(f1340,plain,
( sK1 != product(sK1,product(sK0,sK1))
| ~ d(sK0,sK1)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f28,f47]) ).
fof(f47,plain,
( sK0 = product(sK0,product(sK1,sK0))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f1467,plain,
( sK1 = product(sK1,product(sK0,sK1))
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f1343,f1451]) ).
fof(f1451,plain,
( product(sK0,sK1) = sK2(sK0,sK1)
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_demodulation,[],[f1437,f1343]) ).
fof(f1437,plain,
( sK2(sK0,sK1) = product(sK0,product(sK1,sK2(sK0,sK1)))
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f63,f1342]) ).
fof(f63,plain,
( ! [X0] : product(sK0,X0) = product(sK0,product(sK1,product(sK0,X0)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f57,f39]) ).
fof(f57,plain,
( ! [X0] : product(sK0,product(product(sK1,sK0),X0)) = product(sK0,X0)
| ~ spl3_2 ),
inference(superposition,[],[f39,f47]) ).
fof(f1332,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1331,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f1326,f42]) ).
fof(f42,plain,
( ~ d(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f1326,plain,
( d(sK0,sK1)
| spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f1147,f160]) ).
fof(f160,plain,
( l(product(sK0,sK1),sK1)
| spl3_1 ),
inference(trivial_inequality_removal,[],[f159]) ).
fof(f159,plain,
( product(sK0,sK1) != product(sK0,sK1)
| l(product(sK0,sK1),sK1)
| spl3_1 ),
inference(forward_demodulation,[],[f158,f29]) ).
fof(f158,plain,
( product(sK0,sK1) != product(sK0,product(sK1,sK1))
| l(product(sK0,sK1),sK1)
| spl3_1 ),
inference(forward_demodulation,[],[f138,f39]) ).
fof(f138,plain,
( l(product(sK0,sK1),sK1)
| product(sK0,sK1) != product(product(sK0,sK1),sK1)
| spl3_1 ),
inference(trivial_inequality_removal,[],[f136]) ).
fof(f136,plain,
( sK1 != sK1
| l(product(sK0,sK1),sK1)
| product(sK0,sK1) != product(product(sK0,sK1),sK1)
| spl3_1 ),
inference(superposition,[],[f32,f49]) ).
fof(f49,plain,
( sK1 = product(sK1,product(sK0,sK1))
| spl3_1 ),
inference(subsumption_resolution,[],[f27,f42]) ).
fof(f1147,plain,
( ! [X0] :
( ~ l(product(sK0,sK1),X0)
| d(sK0,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f1138,f38]) ).
fof(f1138,plain,
( r(sK0,product(sK0,sK1))
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f1134,f55]) ).
fof(f1134,plain,
( r(sK0,product(sK0,sK1))
| product(sK0,sK1) != product(sK0,product(sK0,sK1))
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f1125]) ).
fof(f1125,plain,
( sK0 != sK0
| r(sK0,product(sK0,sK1))
| product(sK0,sK1) != product(sK0,product(sK0,sK1))
| ~ spl3_2 ),
inference(superposition,[],[f35,f1093]) ).
fof(f1093,plain,
( sK0 = product(product(sK0,sK1),sK0)
| ~ spl3_2 ),
inference(resolution,[],[f997,f33]) ).
fof(f997,plain,
( r(product(sK0,sK1),sK0)
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f987]) ).
fof(f987,plain,
( sK0 != sK0
| r(product(sK0,sK1),sK0)
| ~ spl3_2 ),
inference(superposition,[],[f176,f47]) ).
fof(f48,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f26,f45,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (13979)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13985)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (13982)WARNING: value z3 for option sas not known
% 0.14/0.37 % (13981)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (13983)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (13982)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13984)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (13986)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (13980)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 TRYING [6]
% 0.21/0.45 TRYING [5]
% 0.21/0.46 % (13982)First to succeed.
% 0.21/0.47 TRYING [7]
% 0.21/0.48 % (13982)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13979"
% 0.21/0.48 % (13982)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (13982)------------------------------
% 0.21/0.49 % (13982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49 % (13982)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (13982)Memory used [KB]: 1972
% 0.21/0.49 % (13982)Time elapsed: 0.113 s
% 0.21/0.49 % (13982)Instructions burned: 213 (million)
% 0.21/0.49 % (13979)Success in time 0.137 s
%------------------------------------------------------------------------------