TSTP Solution File: GRP125-3.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP125-3.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 16:20:23 EDT 2022
% Result : Unsatisfiable 2.41s 0.69s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 697 ( 57 unt; 0 def)
% Number of atoms : 1763 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2031 ( 965 ~; 991 |; 0 &)
% ( 75 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 79 ( 78 usr; 76 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2985,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f202,f223,f244,f277,f298,f319,f340,f366,f387,f408,f429,f455,f476,f497,f635,f645,f652,f669,f711,f720,f745,f756,f767,f783,f794,f805,f813,f822,f829,f851,f861,f868,f890,f915,f925,f939,f959,f966,f976,f990,f1000,f1007,f1017,f1050,f1081,f1103,f1118,f1126,f1128,f1161,f1184,f1209,f1218,f1242,f1244,f1261,f1263,f1270,f1295,f1305,f1343,f1364,f1372,f1397,f1412,f1414,f1420,f1432,f1441,f1448,f1455,f1499,f1501,f1519,f1521,f1530,f1549,f1551,f1567,f1579,f1581,f1588,f1596,f1619,f1626,f1649,f1664,f1673,f1684,f1692,f1700,f1721,f1742,f1763,f1787,f1842,f1928,f1939,f1958,f1978,f1997,f2019,f2062,f2080,f2099,f2117,f2124,f2160,f2177,f2211,f2230,f2294,f2296,f2321,f2330,f2339,f2350,f2352,f2364,f2431,f2436,f2507,f2509,f2517,f2519,f2612,f2619,f2629,f2631,f2700,f2710,f2718,f2720,f2783,f2799,f2817,f2896,f2898,f2976,f2984]) ).
fof(f2984,plain,
( ~ spl0_43
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f2983]) ).
fof(f2983,plain,
( $false
| ~ spl0_43
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f2978,f46]) ).
fof(f46,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f2978,plain,
( equalish(e_4,e_2)
| ~ spl0_43
| ~ spl0_79 ),
inference(resolution,[],[f471,f2867]) ).
fof(f2867,plain,
( ! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) )
| ~ spl0_43 ),
inference(resolution,[],[f310,f56]) ).
fof(f56,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| ~ product(X3,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f310,plain,
( product(e_2,e_3,e_5)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl0_43
<=> product(e_2,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f471,plain,
( product(e_4,e_3,e_5)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl0_79
<=> product(e_4,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2976,plain,
( spl0_13
| ~ spl0_60
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f2975]) ).
fof(f2975,plain,
( $false
| spl0_13
| ~ spl0_60
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f2974,f171]) ).
fof(f171,plain,
( ~ product(e_1,e_5,e_4)
| spl0_13 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl0_13
<=> product(e_1,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2974,plain,
( product(e_1,e_5,e_4)
| ~ spl0_60
| ~ spl0_78 ),
inference(resolution,[],[f2973,f386]) ).
fof(f386,plain,
( product(e_3,e_4,e_5)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl0_60
<=> product(e_3,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2973,plain,
( ! [X3] :
( ~ product(e_3,e_4,X3)
| product(e_1,X3,e_4) )
| ~ spl0_78 ),
inference(resolution,[],[f467,f58]) ).
fof(f58,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| product(X4,X5,X0)
| ~ product(X1,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f467,plain,
( product(e_4,e_3,e_1)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl0_78
<=> product(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2898,plain,
( ~ spl0_29
| ~ spl0_38
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f2897]) ).
fof(f2897,plain,
( $false
| ~ spl0_29
| ~ spl0_38
| spl0_76 ),
inference(subsumption_resolution,[],[f2862,f458]) ).
fof(f458,plain,
( ~ product(e_4,e_3,e_2)
| spl0_76 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl0_76
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f2862,plain,
( product(e_4,e_3,e_2)
| ~ spl0_29
| ~ spl0_38 ),
inference(resolution,[],[f2861,f239]) ).
fof(f239,plain,
( product(e_1,e_2,e_3)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_29
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2861,plain,
( ! [X5] :
( ~ product(e_1,e_2,X5)
| product(e_4,X5,e_2) )
| ~ spl0_38 ),
inference(resolution,[],[f289,f58]) ).
fof(f289,plain,
( product(e_2,e_1,e_4)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl0_38
<=> product(e_2,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2896,plain,
( ~ spl0_19
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f2895]) ).
fof(f2895,plain,
( $false
| ~ spl0_19
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f2890,f45]) ).
fof(f45,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f2890,plain,
( equalish(e_4,e_1)
| ~ spl0_19
| ~ spl0_76 ),
inference(resolution,[],[f459,f2827]) ).
fof(f2827,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_1) )
| ~ spl0_19 ),
inference(resolution,[],[f197,f56]) ).
fof(f197,plain,
( product(e_1,e_3,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl0_19
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f459,plain,
( product(e_4,e_3,e_2)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2817,plain,
( ~ spl0_36
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
fof(f2816,plain,
( $false
| ~ spl0_36
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f2810,f46]) ).
fof(f2810,plain,
( equalish(e_4,e_2)
| ~ spl0_36
| ~ spl0_81 ),
inference(resolution,[],[f480,f2751]) ).
fof(f2751,plain,
( ! [X2] :
( ~ product(X2,e_1,e_3)
| equalish(X2,e_2) )
| ~ spl0_36 ),
inference(resolution,[],[f281,f56]) ).
fof(f281,plain,
( product(e_2,e_1,e_3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl0_36
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f480,plain,
( product(e_4,e_1,e_3)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl0_81
<=> product(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2799,plain,
( spl0_29
| ~ spl0_57
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f2798]) ).
fof(f2798,plain,
( $false
| spl0_29
| ~ spl0_57
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f2793,f238]) ).
fof(f238,plain,
( ~ product(e_1,e_2,e_3)
| spl0_29 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f2793,plain,
( product(e_1,e_2,e_3)
| ~ spl0_57
| ~ spl0_76 ),
inference(resolution,[],[f459,f2689]) ).
fof(f2689,plain,
( ! [X3] :
( ~ product(e_4,e_3,X3)
| product(e_1,X3,e_3) )
| ~ spl0_57 ),
inference(resolution,[],[f374,f58]) ).
fof(f374,plain,
( product(e_3,e_4,e_1)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl0_57
<=> product(e_3,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f2783,plain,
~ spl0_73,
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2782,plain,
( $false
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f2781,f52]) ).
fof(f52,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
fof(f2781,plain,
( equalish(e_5,e_4)
| ~ spl0_73 ),
inference(resolution,[],[f446,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f55,f57]) ).
fof(f57,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f55,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| equalish(X3,X2)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f446,plain,
( product(e_4,e_5,e_4)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl0_73
<=> product(e_4,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f2720,plain,
( ~ spl0_63
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2719,plain,
( $false
| ~ spl0_63
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f2711,f50]) ).
fof(f50,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
fof(f2711,plain,
( equalish(e_5,e_2)
| ~ spl0_63
| ~ spl0_68 ),
inference(resolution,[],[f420,f2695]) ).
fof(f2695,plain,
( ! [X1] :
( ~ product(e_3,X1,e_4)
| equalish(X1,e_2) )
| ~ spl0_63 ),
inference(resolution,[],[f399,f55]) ).
fof(f399,plain,
( product(e_3,e_2,e_4)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl0_63
<=> product(e_3,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f420,plain,
( product(e_3,e_5,e_4)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl0_68
<=> product(e_3,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f2718,plain,
( ~ spl0_13
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2717,plain,
( $false
| ~ spl0_13
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f2712,f41]) ).
fof(f41,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f2712,plain,
( equalish(e_3,e_1)
| ~ spl0_13
| ~ spl0_68 ),
inference(resolution,[],[f420,f2632]) ).
fof(f2632,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_1) )
| ~ spl0_13 ),
inference(resolution,[],[f172,f56]) ).
fof(f172,plain,
( product(e_1,e_5,e_4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f2710,plain,
( ~ spl0_51
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
fof(f2709,plain,
( $false
| ~ spl0_51
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f2704,f49]) ).
fof(f49,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
fof(f2704,plain,
( equalish(e_5,e_1)
| ~ spl0_51
| ~ spl0_67 ),
inference(resolution,[],[f416,f2582]) ).
fof(f2582,plain,
( ! [X3] :
( ~ product(e_3,X3,e_2)
| equalish(X3,e_1) )
| ~ spl0_51 ),
inference(resolution,[],[f349,f55]) ).
fof(f349,plain,
( product(e_3,e_1,e_2)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl0_51
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f416,plain,
( product(e_3,e_5,e_2)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl0_67
<=> product(e_3,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f2700,plain,
( ~ spl0_44
| ~ spl0_63
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| ~ spl0_44
| ~ spl0_63
| spl0_81 ),
inference(subsumption_resolution,[],[f2698,f479]) ).
fof(f479,plain,
( ~ product(e_4,e_1,e_3)
| spl0_81 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f2698,plain,
( product(e_4,e_1,e_3)
| ~ spl0_44
| ~ spl0_63 ),
inference(resolution,[],[f2697,f314]) ).
fof(f314,plain,
( product(e_2,e_3,e_1)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl0_44
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2697,plain,
( ! [X3] :
( ~ product(e_2,e_3,X3)
| product(e_4,X3,e_3) )
| ~ spl0_63 ),
inference(resolution,[],[f399,f58]) ).
fof(f2631,plain,
( ~ spl0_16
| spl0_50
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f2630,plain,
( $false
| ~ spl0_16
| spl0_50
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f2586,f338]) ).
fof(f338,plain,
( ~ product(e_2,e_4,e_3)
| spl0_50 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl0_50
<=> product(e_2,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2586,plain,
( product(e_2,e_4,e_3)
| ~ spl0_16
| ~ spl0_51 ),
inference(resolution,[],[f2584,f185]) ).
fof(f185,plain,
( product(e_1,e_3,e_4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl0_16
<=> product(e_1,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2584,plain,
( ! [X5] :
( ~ product(e_1,e_3,X5)
| product(e_2,X5,e_3) )
| ~ spl0_51 ),
inference(resolution,[],[f349,f58]) ).
fof(f2629,plain,
( ~ spl0_24
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2628,plain,
( $false
| ~ spl0_24
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f2623,f41]) ).
fof(f2623,plain,
( equalish(e_3,e_1)
| ~ spl0_24
| ~ spl0_60 ),
inference(resolution,[],[f386,f2534]) ).
fof(f2534,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_1) )
| ~ spl0_24 ),
inference(resolution,[],[f218,f56]) ).
fof(f218,plain,
( product(e_1,e_4,e_5)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_24
<=> product(e_1,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2619,plain,
( ~ spl0_57
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2618]) ).
fof(f2618,plain,
( $false
| ~ spl0_57
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f2613,f52]) ).
fof(f2613,plain,
( equalish(e_5,e_4)
| ~ spl0_57
| ~ spl0_69 ),
inference(resolution,[],[f424,f2591]) ).
fof(f2591,plain,
( ! [X1] :
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4) )
| ~ spl0_57 ),
inference(resolution,[],[f374,f55]) ).
fof(f424,plain,
( product(e_3,e_5,e_1)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl0_69
<=> product(e_3,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f2612,plain,
( ~ spl0_31
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2611,plain,
( $false
| ~ spl0_31
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f2606,f42]) ).
fof(f42,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f2606,plain,
( equalish(e_3,e_2)
| ~ spl0_31
| ~ spl0_68 ),
inference(resolution,[],[f420,f2548]) ).
fof(f2548,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) )
| ~ spl0_31 ),
inference(resolution,[],[f260,f56]) ).
fof(f260,plain,
( product(e_2,e_5,e_4)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl0_31
<=> product(e_2,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2519,plain,
( ~ spl0_49
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2518]) ).
fof(f2518,plain,
( $false
| ~ spl0_49
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f2511,f42]) ).
fof(f2511,plain,
( equalish(e_3,e_2)
| ~ spl0_49
| ~ spl0_60 ),
inference(resolution,[],[f386,f2475]) ).
fof(f2475,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_2) )
| ~ spl0_49 ),
inference(resolution,[],[f335,f56]) ).
fof(f335,plain,
( product(e_2,e_4,e_5)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl0_49
<=> product(e_2,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2517,plain,
( ~ spl0_52
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2516]) ).
fof(f2516,plain,
( $false
| ~ spl0_52
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f2510,f45]) ).
fof(f2510,plain,
( equalish(e_4,e_1)
| ~ spl0_52
| ~ spl0_60 ),
inference(resolution,[],[f386,f2485]) ).
fof(f2485,plain,
( ! [X3] :
( ~ product(e_3,X3,e_5)
| equalish(X3,e_1) )
| ~ spl0_52 ),
inference(resolution,[],[f353,f55]) ).
fof(f353,plain,
( product(e_3,e_1,e_5)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl0_52
<=> product(e_3,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f2509,plain,
( ~ spl0_52
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2508,plain,
( $false
| ~ spl0_52
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2499,f37]) ).
fof(f37,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f2499,plain,
( equalish(e_2,e_1)
| ~ spl0_52
| ~ spl0_65 ),
inference(resolution,[],[f407,f2485]) ).
fof(f407,plain,
( product(e_3,e_2,e_5)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl0_65
<=> product(e_3,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2507,plain,
( ~ spl0_27
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2506]) ).
fof(f2506,plain,
( $false
| ~ spl0_27
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2501,f41]) ).
fof(f2501,plain,
( equalish(e_3,e_1)
| ~ spl0_27
| ~ spl0_65 ),
inference(resolution,[],[f407,f2451]) ).
fof(f2451,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) )
| ~ spl0_27 ),
inference(resolution,[],[f231,f56]) ).
fof(f231,plain,
( product(e_1,e_2,e_5)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl0_27
<=> product(e_1,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2436,plain,
( ~ spl0_29
| ~ spl0_39
| spl0_69 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2435,plain,
( $false
| ~ spl0_29
| ~ spl0_39
| spl0_69 ),
inference(subsumption_resolution,[],[f2246,f423]) ).
fof(f423,plain,
( ~ product(e_3,e_5,e_1)
| spl0_69 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f2246,plain,
( product(e_3,e_5,e_1)
| ~ spl0_29
| ~ spl0_39 ),
inference(resolution,[],[f2245,f293]) ).
fof(f293,plain,
( product(e_2,e_1,e_5)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl0_39
<=> product(e_2,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f2245,plain,
( ! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_3,X3,e_1) )
| ~ spl0_29 ),
inference(resolution,[],[f239,f58]) ).
fof(f2431,plain,
( ~ spl0_41
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl0_41
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f2424,f39]) ).
fof(f39,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f2424,plain,
( equalish(e_2,e_4)
| ~ spl0_41
| ~ spl0_63 ),
inference(resolution,[],[f2417,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f54,f57]) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| equalish(X3,X2)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f2417,plain,
( product(e_4,e_4,e_2)
| ~ spl0_41
| ~ spl0_63 ),
inference(resolution,[],[f399,f2253]) ).
fof(f2253,plain,
( ! [X3] :
( ~ product(e_3,e_2,X3)
| product(e_4,X3,e_2) )
| ~ spl0_41 ),
inference(resolution,[],[f302,f58]) ).
fof(f302,plain,
( product(e_2,e_3,e_4)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl0_41
<=> product(e_2,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2364,plain,
~ spl0_82,
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f2360,f35]) ).
fof(f35,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f2360,plain,
( equalish(e_1,e_4)
| ~ spl0_82 ),
inference(resolution,[],[f484,f63]) ).
fof(f484,plain,
( product(e_4,e_1,e_4)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl0_82
<=> product(e_4,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f2352,plain,
( ~ spl0_39
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
fof(f2351,plain,
( $false
| ~ spl0_39
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f2343,f46]) ).
fof(f2343,plain,
( equalish(e_4,e_2)
| ~ spl0_39
| ~ spl0_85 ),
inference(resolution,[],[f496,f2218]) ).
fof(f2218,plain,
( ! [X2] :
( ~ product(X2,e_1,e_5)
| equalish(X2,e_2) )
| ~ spl0_39 ),
inference(resolution,[],[f293,f56]) ).
fof(f496,plain,
( product(e_4,e_1,e_5)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl0_85
<=> product(e_4,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2350,plain,
( ~ spl0_79
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2349,plain,
( $false
| ~ spl0_79
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f2341,f34]) ).
fof(f34,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f2341,plain,
( equalish(e_1,e_3)
| ~ spl0_79
| ~ spl0_85 ),
inference(resolution,[],[f496,f2299]) ).
fof(f2299,plain,
( ! [X1] :
( ~ product(e_4,X1,e_5)
| equalish(X1,e_3) )
| ~ spl0_79 ),
inference(resolution,[],[f471,f55]) ).
fof(f2339,plain,
~ spl0_84,
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2338,plain,
( $false
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f2337,f45]) ).
fof(f2337,plain,
( equalish(e_4,e_1)
| ~ spl0_84 ),
inference(resolution,[],[f492,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f56,f57]) ).
fof(f492,plain,
( product(e_4,e_1,e_1)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl0_84
<=> product(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2330,plain,
( ~ spl0_72
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2329,plain,
( $false
| ~ spl0_72
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f2322,f36]) ).
fof(f36,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
fof(f2322,plain,
( equalish(e_1,e_5)
| ~ spl0_72
| ~ spl0_83 ),
inference(resolution,[],[f488,f2281]) ).
fof(f2281,plain,
( ! [X1] :
( ~ product(e_4,X1,e_2)
| equalish(X1,e_5) )
| ~ spl0_72 ),
inference(resolution,[],[f442,f55]) ).
fof(f442,plain,
( product(e_4,e_5,e_2)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl0_72
<=> product(e_4,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f488,plain,
( product(e_4,e_1,e_2)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl0_83
<=> product(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2321,plain,
( ~ spl0_24
| spl0_68
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| ~ spl0_24
| spl0_68
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f2319,f419]) ).
fof(f419,plain,
( ~ product(e_3,e_5,e_4)
| spl0_68 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f2319,plain,
( product(e_3,e_5,e_4)
| ~ spl0_24
| ~ spl0_81 ),
inference(resolution,[],[f2311,f218]) ).
fof(f2311,plain,
( ! [X5] :
( ~ product(e_1,e_4,X5)
| product(e_3,X5,e_4) )
| ~ spl0_81 ),
inference(resolution,[],[f480,f58]) ).
fof(f2296,plain,
( ~ spl0_72
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2295,plain,
( $false
| ~ spl0_72
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f2287,f33]) ).
fof(f33,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f2287,plain,
( equalish(e_1,e_2)
| ~ spl0_72
| ~ spl0_75 ),
inference(resolution,[],[f454,f2282]) ).
fof(f2282,plain,
( ! [X2] :
( ~ product(e_4,e_5,X2)
| equalish(X2,e_2) )
| ~ spl0_72 ),
inference(resolution,[],[f442,f54]) ).
fof(f454,plain,
( product(e_4,e_5,e_1)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl0_75
<=> product(e_4,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f2294,plain,
( ~ spl0_69
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2293,plain,
( $false
| ~ spl0_69
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f2288,f47]) ).
fof(f47,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f2288,plain,
( equalish(e_4,e_3)
| ~ spl0_69
| ~ spl0_75 ),
inference(resolution,[],[f454,f2273]) ).
fof(f2273,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_3) )
| ~ spl0_69 ),
inference(resolution,[],[f424,f56]) ).
fof(f2230,plain,
( ~ spl0_27
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl0_27
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2222,f36]) ).
fof(f2222,plain,
( equalish(e_1,e_5)
| ~ spl0_27
| ~ spl0_39 ),
inference(resolution,[],[f2216,f61]) ).
fof(f2216,plain,
( product(e_5,e_5,e_1)
| ~ spl0_27
| ~ spl0_39 ),
inference(resolution,[],[f293,f2175]) ).
fof(f2175,plain,
( ! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_5,X3,e_1) )
| ~ spl0_27 ),
inference(resolution,[],[f231,f58]) ).
fof(f2211,plain,
( ~ spl0_38
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2210,plain,
( $false
| ~ spl0_38
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f2204,f42]) ).
fof(f2204,plain,
( equalish(e_3,e_2)
| ~ spl0_38
| ~ spl0_55 ),
inference(resolution,[],[f365,f2155]) ).
fof(f2155,plain,
( ! [X2] :
( ~ product(X2,e_1,e_4)
| equalish(X2,e_2) )
| ~ spl0_38 ),
inference(resolution,[],[f289,f56]) ).
fof(f365,plain,
( product(e_3,e_1,e_4)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl0_55
<=> product(e_3,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2177,plain,
( ~ spl0_27
| ~ spl0_38
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f2176]) ).
fof(f2176,plain,
( $false
| ~ spl0_27
| ~ spl0_38
| spl0_72 ),
inference(subsumption_resolution,[],[f2171,f441]) ).
fof(f441,plain,
( ~ product(e_4,e_5,e_2)
| spl0_72 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f2171,plain,
( product(e_4,e_5,e_2)
| ~ spl0_27
| ~ spl0_38 ),
inference(resolution,[],[f231,f2158]) ).
fof(f2158,plain,
( ! [X5] :
( ~ product(e_1,e_2,X5)
| product(e_4,X5,e_2) )
| ~ spl0_38 ),
inference(resolution,[],[f289,f58]) ).
fof(f2160,plain,
( ~ spl0_29
| ~ spl0_38
| spl0_57 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| ~ spl0_29
| ~ spl0_38
| spl0_57 ),
inference(subsumption_resolution,[],[f2153,f373]) ).
fof(f373,plain,
( ~ product(e_3,e_4,e_1)
| spl0_57 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f2153,plain,
( product(e_3,e_4,e_1)
| ~ spl0_29
| ~ spl0_38 ),
inference(resolution,[],[f289,f2142]) ).
fof(f2142,plain,
( ! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_3,X3,e_1) )
| ~ spl0_29 ),
inference(resolution,[],[f239,f58]) ).
fof(f2124,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2123,plain,
( $false
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f2118,f51]) ).
fof(f51,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
fof(f2118,plain,
( equalish(e_5,e_3)
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f172,f2007]) ).
fof(f2007,plain,
( ! [X1] :
( ~ product(e_1,X1,e_4)
| equalish(X1,e_3) )
| ~ spl0_16 ),
inference(resolution,[],[f185,f55]) ).
fof(f2117,plain,
( ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2116,plain,
( $false
| ~ spl0_43
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f2111,f47]) ).
fof(f2111,plain,
( equalish(e_4,e_3)
| ~ spl0_43
| ~ spl0_49 ),
inference(resolution,[],[f335,f2105]) ).
fof(f2105,plain,
( ! [X1] :
( ~ product(e_2,X1,e_5)
| equalish(X1,e_3) )
| ~ spl0_43 ),
inference(resolution,[],[f310,f55]) ).
fof(f2099,plain,
( ~ spl0_36
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2098]) ).
fof(f2098,plain,
( $false
| ~ spl0_36
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f2092,f35]) ).
fof(f2092,plain,
( equalish(e_1,e_4)
| ~ spl0_36
| ~ spl0_50 ),
inference(resolution,[],[f281,f2048]) ).
fof(f2048,plain,
( ! [X1] :
( ~ product(e_2,X1,e_3)
| equalish(X1,e_4) )
| ~ spl0_50 ),
inference(resolution,[],[f339,f55]) ).
fof(f339,plain,
( product(e_2,e_4,e_3)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f2080,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f2074,f39]) ).
fof(f2074,plain,
( equalish(e_2,e_4)
| ~ spl0_24
| ~ spl0_27 ),
inference(resolution,[],[f231,f1954]) ).
fof(f1954,plain,
( ! [X1] :
( ~ product(e_1,X1,e_5)
| equalish(X1,e_4) )
| ~ spl0_24 ),
inference(resolution,[],[f218,f55]) ).
fof(f2062,plain,
( ~ spl0_39
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl0_39
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f2055,f42]) ).
fof(f2055,plain,
( equalish(e_3,e_2)
| ~ spl0_39
| ~ spl0_52 ),
inference(resolution,[],[f353,f2032]) ).
fof(f2032,plain,
( ! [X2] :
( ~ product(X2,e_1,e_5)
| equalish(X2,e_2) )
| ~ spl0_39 ),
inference(resolution,[],[f293,f56]) ).
fof(f2019,plain,
( ~ spl0_16
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2018,plain,
( $false
| ~ spl0_16
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f2010,f43]) ).
fof(f43,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f2010,plain,
( equalish(e_3,e_4)
| ~ spl0_16
| ~ spl0_55 ),
inference(resolution,[],[f2005,f61]) ).
fof(f2005,plain,
( product(e_4,e_4,e_3)
| ~ spl0_16
| ~ spl0_55 ),
inference(resolution,[],[f185,f1821]) ).
fof(f1821,plain,
( ! [X5] :
( ~ product(e_1,e_3,X5)
| product(e_4,X5,e_3) )
| ~ spl0_55 ),
inference(resolution,[],[f365,f58]) ).
fof(f1997,plain,
( ~ spl0_62
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f1996,plain,
( $false
| ~ spl0_62
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f1990,f40]) ).
fof(f40,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
fof(f1990,plain,
( equalish(e_2,e_5)
| ~ spl0_62
| ~ spl0_69 ),
inference(resolution,[],[f395,f1887]) ).
fof(f1887,plain,
( ! [X1] :
( ~ product(e_3,X1,e_1)
| equalish(X1,e_5) )
| ~ spl0_69 ),
inference(resolution,[],[f424,f55]) ).
fof(f395,plain,
( product(e_3,e_2,e_1)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl0_62
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1978,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f1977,plain,
( $false
| ~ spl0_43
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f1971,f44]) ).
fof(f44,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
fof(f1971,plain,
( equalish(e_3,e_5)
| ~ spl0_43
| ~ spl0_65 ),
inference(resolution,[],[f1962,f61]) ).
fof(f1962,plain,
( product(e_5,e_5,e_3)
| ~ spl0_43
| ~ spl0_65 ),
inference(resolution,[],[f310,f1838]) ).
fof(f1838,plain,
( ! [X3] :
( ~ product(e_2,e_3,X3)
| product(e_5,X3,e_3) )
| ~ spl0_65 ),
inference(resolution,[],[f407,f58]) ).
fof(f1958,plain,
( ~ spl0_24
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1957,plain,
( $false
| ~ spl0_24
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1952,f33]) ).
fof(f1952,plain,
( equalish(e_1,e_2)
| ~ spl0_24
| ~ spl0_49 ),
inference(resolution,[],[f218,f1872]) ).
fof(f1872,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_2) )
| ~ spl0_49 ),
inference(resolution,[],[f335,f56]) ).
fof(f1939,plain,
( ~ spl0_12
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1938,plain,
( $false
| ~ spl0_12
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1933,f35]) ).
fof(f1933,plain,
( equalish(e_1,e_4)
| ~ spl0_12
| ~ spl0_74 ),
inference(resolution,[],[f168,f1893]) ).
fof(f1893,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) )
| ~ spl0_74 ),
inference(resolution,[],[f450,f56]) ).
fof(f450,plain,
( product(e_4,e_5,e_3)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl0_74
<=> product(e_4,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f168,plain,
( product(e_1,e_5,e_3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl0_12
<=> product(e_1,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1928,plain,
( ~ spl0_44
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1927]) ).
fof(f1927,plain,
( $false
| ~ spl0_44
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f1922,f46]) ).
fof(f1922,plain,
( equalish(e_4,e_2)
| ~ spl0_44
| ~ spl0_78 ),
inference(resolution,[],[f467,f1802]) ).
fof(f1802,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_2) )
| ~ spl0_44 ),
inference(resolution,[],[f314,f56]) ).
fof(f1842,plain,
( ~ spl0_60
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1841,plain,
( $false
| ~ spl0_60
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f1833,f39]) ).
fof(f1833,plain,
( equalish(e_2,e_4)
| ~ spl0_60
| ~ spl0_65 ),
inference(resolution,[],[f407,f1827]) ).
fof(f1827,plain,
( ! [X1] :
( ~ product(e_3,X1,e_5)
| equalish(X1,e_4) )
| ~ spl0_60 ),
inference(resolution,[],[f386,f55]) ).
fof(f1787,plain,
( ~ spl0_39
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1786,plain,
( $false
| ~ spl0_39
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f1781,f41]) ).
fof(f1781,plain,
( equalish(e_3,e_1)
| ~ spl0_39
| ~ spl0_43 ),
inference(resolution,[],[f310,f1774]) ).
fof(f1774,plain,
( ! [X3] :
( ~ product(e_2,X3,e_5)
| equalish(X3,e_1) )
| ~ spl0_39 ),
inference(resolution,[],[f293,f55]) ).
fof(f1763,plain,
( ~ spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| ~ spl0_12
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f1757,f37]) ).
fof(f1757,plain,
( equalish(e_2,e_1)
| ~ spl0_12
| ~ spl0_33 ),
inference(resolution,[],[f268,f1722]) ).
fof(f1722,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_1) )
| ~ spl0_12 ),
inference(resolution,[],[f168,f56]) ).
fof(f268,plain,
( product(e_2,e_5,e_3)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_33
<=> product(e_2,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1742,plain,
( ~ spl0_34
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| ~ spl0_34
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f1736,f39]) ).
fof(f1736,plain,
( equalish(e_2,e_4)
| ~ spl0_34
| ~ spl0_75 ),
inference(resolution,[],[f272,f1650]) ).
fof(f1650,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) )
| ~ spl0_75 ),
inference(resolution,[],[f454,f56]) ).
fof(f272,plain,
( product(e_2,e_5,e_1)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl0_34
<=> product(e_2,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1721,plain,
( spl0_82
| ~ spl0_28
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1712,f287,f233,f482]) ).
fof(f233,plain,
( spl0_28
<=> product(e_1,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1712,plain,
( product(e_4,e_1,e_4)
| ~ spl0_28
| ~ spl0_38 ),
inference(resolution,[],[f1702,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| product(X0,X1,X0) ),
inference(resolution,[],[f57,f58]) ).
fof(f1702,plain,
( product(e_4,e_4,e_1)
| ~ spl0_28
| ~ spl0_38 ),
inference(resolution,[],[f289,f1268]) ).
fof(f1268,plain,
( ! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_4,X3,e_1) )
| ~ spl0_28 ),
inference(resolution,[],[f235,f58]) ).
fof(f235,plain,
( product(e_1,e_2,e_4)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f1700,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1699,plain,
( $false
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f1698,f47]) ).
fof(f1698,plain,
( equalish(e_4,e_3)
| ~ spl0_80 ),
inference(resolution,[],[f475,f65]) ).
fof(f475,plain,
( product(e_4,e_3,e_3)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl0_80
<=> product(e_4,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1692,plain,
( ~ spl0_18
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1691]) ).
fof(f1691,plain,
( $false
| ~ spl0_18
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f1686,f45]) ).
fof(f1686,plain,
( equalish(e_4,e_1)
| ~ spl0_18
| ~ spl0_79 ),
inference(resolution,[],[f471,f1248]) ).
fof(f1248,plain,
( ! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(X0,e_1) )
| ~ spl0_18 ),
inference(resolution,[],[f193,f56]) ).
fof(f193,plain,
( product(e_1,e_3,e_5)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl0_18
<=> product(e_1,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1684,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f1683]) ).
fof(f1683,plain,
( $false
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f1680,f43]) ).
fof(f1680,plain,
( equalish(e_3,e_4)
| ~ spl0_77 ),
inference(resolution,[],[f463,f63]) ).
fof(f463,plain,
( product(e_4,e_3,e_4)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl0_77
<=> product(e_4,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1673,plain,
( ~ spl0_75
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| ~ spl0_75
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f1665,f44]) ).
fof(f1665,plain,
( equalish(e_3,e_5)
| ~ spl0_75
| ~ spl0_78 ),
inference(resolution,[],[f467,f1651]) ).
fof(f1651,plain,
( ! [X1] :
( ~ product(e_4,X1,e_1)
| equalish(X1,e_5) )
| ~ spl0_75 ),
inference(resolution,[],[f454,f55]) ).
fof(f1664,plain,
( spl0_31
| ~ spl0_60
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1663,plain,
( $false
| spl0_31
| ~ spl0_60
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f1662,f259]) ).
fof(f259,plain,
( ~ product(e_2,e_5,e_4)
| spl0_31 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f1662,plain,
( product(e_2,e_5,e_4)
| ~ spl0_60
| ~ spl0_76 ),
inference(resolution,[],[f1661,f386]) ).
fof(f1661,plain,
( ! [X3] :
( ~ product(e_3,e_4,X3)
| product(e_2,X3,e_4) )
| ~ spl0_76 ),
inference(resolution,[],[f459,f58]) ).
fof(f1649,plain,
( ~ spl0_33
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| ~ spl0_33
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1643,f46]) ).
fof(f1643,plain,
( equalish(e_4,e_2)
| ~ spl0_33
| ~ spl0_74 ),
inference(resolution,[],[f450,f1503]) ).
fof(f1503,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) )
| ~ spl0_33 ),
inference(resolution,[],[f268,f56]) ).
fof(f1626,plain,
( ~ spl0_11
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f1625]) ).
fof(f1625,plain,
( $false
| ~ spl0_11
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f1620,f45]) ).
fof(f1620,plain,
( equalish(e_4,e_1)
| ~ spl0_11
| ~ spl0_72 ),
inference(resolution,[],[f442,f1275]) ).
fof(f1275,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) )
| ~ spl0_11 ),
inference(resolution,[],[f164,f56]) ).
fof(f164,plain,
( product(e_1,e_5,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl0_11
<=> product(e_1,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1619,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f1617,f48]) ).
fof(f48,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
fof(f1617,plain,
( equalish(e_4,e_5)
| ~ spl0_71 ),
inference(resolution,[],[f438,f65]) ).
fof(f438,plain,
( product(e_4,e_5,e_5)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl0_71
<=> product(e_4,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1596,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f1594,f47]) ).
fof(f1594,plain,
( equalish(e_4,e_3)
| ~ spl0_59 ),
inference(resolution,[],[f382,f63]) ).
fof(f382,plain,
( product(e_3,e_4,e_3)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl0_59
<=> product(e_3,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1588,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f1586,f43]) ).
fof(f1586,plain,
( equalish(e_3,e_4)
| ~ spl0_58 ),
inference(resolution,[],[f378,f65]) ).
fof(f378,plain,
( product(e_3,e_4,e_4)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl0_58
<=> product(e_3,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1581,plain,
( ~ spl0_47
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1580,plain,
( $false
| ~ spl0_47
| ~ spl0_57 ),
inference(subsumption_resolution,[],[f1573,f42]) ).
fof(f1573,plain,
( equalish(e_3,e_2)
| ~ spl0_47
| ~ spl0_57 ),
inference(resolution,[],[f374,f1552]) ).
fof(f1552,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) )
| ~ spl0_47 ),
inference(resolution,[],[f327,f56]) ).
fof(f327,plain,
( product(e_2,e_4,e_1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl0_47
<=> product(e_2,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1579,plain,
( ~ spl0_57
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| ~ spl0_57
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f1572,f46]) ).
fof(f1572,plain,
( equalish(e_4,e_2)
| ~ spl0_57
| ~ spl0_62 ),
inference(resolution,[],[f374,f1485]) ).
fof(f1485,plain,
( ! [X1] :
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2) )
| ~ spl0_62 ),
inference(resolution,[],[f395,f55]) ).
fof(f1567,plain,
( ~ spl0_51
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1566,plain,
( $false
| ~ spl0_51
| ~ spl0_56 ),
inference(subsumption_resolution,[],[f1559,f35]) ).
fof(f1559,plain,
( equalish(e_1,e_4)
| ~ spl0_51
| ~ spl0_56 ),
inference(resolution,[],[f349,f1377]) ).
fof(f1377,plain,
( ! [X1] :
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4) )
| ~ spl0_56 ),
inference(resolution,[],[f370,f55]) ).
fof(f370,plain,
( product(e_3,e_4,e_2)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_56
<=> product(e_3,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1551,plain,
( ~ spl0_33
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl0_33
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f1542,f48]) ).
fof(f1542,plain,
( equalish(e_4,e_5)
| ~ spl0_33
| ~ spl0_50 ),
inference(resolution,[],[f339,f1504]) ).
fof(f1504,plain,
( ! [X1] :
( ~ product(e_2,X1,e_3)
| equalish(X1,e_5) )
| ~ spl0_33 ),
inference(resolution,[],[f268,f55]) ).
fof(f1549,plain,
( ~ spl0_25
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1548,plain,
( $false
| ~ spl0_25
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f1543,f37]) ).
fof(f1543,plain,
( equalish(e_2,e_1)
| ~ spl0_25
| ~ spl0_50 ),
inference(resolution,[],[f339,f1282]) ).
fof(f1282,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) )
| ~ spl0_25 ),
inference(resolution,[],[f222,f56]) ).
fof(f222,plain,
( product(e_1,e_4,e_3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl0_25
<=> product(e_1,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1530,plain,
( ~ spl0_38
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1529,plain,
( $false
| ~ spl0_38
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f1523,f34]) ).
fof(f1523,plain,
( equalish(e_1,e_3)
| ~ spl0_38
| ~ spl0_41 ),
inference(resolution,[],[f289,f1477]) ).
fof(f1477,plain,
( ! [X1] :
( ~ product(e_2,X1,e_4)
| equalish(X1,e_3) )
| ~ spl0_41 ),
inference(resolution,[],[f302,f55]) ).
fof(f1521,plain,
( ~ spl0_39
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1520,plain,
( $false
| ~ spl0_39
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1513,f35]) ).
fof(f1513,plain,
( equalish(e_1,e_4)
| ~ spl0_39
| ~ spl0_49 ),
inference(resolution,[],[f293,f1314]) ).
fof(f1314,plain,
( ! [X1] :
( ~ product(e_2,X1,e_5)
| equalish(X1,e_4) )
| ~ spl0_49 ),
inference(resolution,[],[f335,f55]) ).
fof(f1519,plain,
( spl0_75
| ~ spl0_28
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1512,f291,f233,f452]) ).
fof(f1512,plain,
( product(e_4,e_5,e_1)
| ~ spl0_28
| ~ spl0_39 ),
inference(resolution,[],[f293,f1268]) ).
fof(f1501,plain,
( ~ spl0_11
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1500,plain,
( $false
| ~ spl0_11
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f1493,f41]) ).
fof(f1493,plain,
( equalish(e_3,e_1)
| ~ spl0_11
| ~ spl0_67 ),
inference(resolution,[],[f416,f1275]) ).
fof(f1499,plain,
( ~ spl0_56
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1498,plain,
( $false
| ~ spl0_56
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f1492,f52]) ).
fof(f1492,plain,
( equalish(e_5,e_4)
| ~ spl0_56
| ~ spl0_67 ),
inference(resolution,[],[f416,f1377]) ).
fof(f1455,plain,
( ~ spl0_55
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f1454]) ).
fof(f1454,plain,
( $false
| ~ spl0_55
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f1449,f49]) ).
fof(f1449,plain,
( equalish(e_5,e_1)
| ~ spl0_55
| ~ spl0_68 ),
inference(resolution,[],[f420,f1368]) ).
fof(f1368,plain,
( ! [X3] :
( ~ product(e_3,X3,e_4)
| equalish(X3,e_1) )
| ~ spl0_55 ),
inference(resolution,[],[f365,f55]) ).
fof(f1448,plain,
~ spl0_70,
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f1446,f51]) ).
fof(f1446,plain,
( equalish(e_5,e_3)
| ~ spl0_70 ),
inference(resolution,[],[f428,f63]) ).
fof(f428,plain,
( product(e_3,e_5,e_3)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_70
<=> product(e_3,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1441,plain,
( ~ spl0_34
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl0_34
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f1435,f42]) ).
fof(f1435,plain,
( equalish(e_3,e_2)
| ~ spl0_34
| ~ spl0_69 ),
inference(resolution,[],[f424,f1290]) ).
fof(f1290,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_2) )
| ~ spl0_34 ),
inference(resolution,[],[f272,f56]) ).
fof(f1432,plain,
~ spl0_66,
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1430,f44]) ).
fof(f1430,plain,
( equalish(e_3,e_5)
| ~ spl0_66 ),
inference(resolution,[],[f412,f65]) ).
fof(f412,plain,
( product(e_3,e_5,e_5)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl0_66
<=> product(e_3,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1420,plain,
( spl0_72
| ~ spl0_41
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1415,f405,f300,f440]) ).
fof(f1415,plain,
( product(e_4,e_5,e_2)
| ~ spl0_41
| ~ spl0_65 ),
inference(resolution,[],[f407,f1309]) ).
fof(f1309,plain,
( ! [X3] :
( ~ product(e_3,e_2,X3)
| product(e_4,X3,e_2) )
| ~ spl0_41 ),
inference(resolution,[],[f302,f58]) ).
fof(f1414,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl0_55
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f1404,f37]) ).
fof(f1404,plain,
( equalish(e_2,e_1)
| ~ spl0_55
| ~ spl0_63 ),
inference(resolution,[],[f399,f1368]) ).
fof(f1412,plain,
( ~ spl0_28
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1411,plain,
( $false
| ~ spl0_28
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f1406,f41]) ).
fof(f1406,plain,
( equalish(e_3,e_1)
| ~ spl0_28
| ~ spl0_63 ),
inference(resolution,[],[f399,f1265]) ).
fof(f1265,plain,
( ! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_1) )
| ~ spl0_28 ),
inference(resolution,[],[f235,f56]) ).
fof(f1397,plain,
~ spl0_64,
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f1395,f38]) ).
fof(f38,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f1395,plain,
( equalish(e_2,e_3)
| ~ spl0_64 ),
inference(resolution,[],[f403,f63]) ).
fof(f403,plain,
( product(e_3,e_2,e_3)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl0_64
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1372,plain,
( spl0_74
| ~ spl0_18
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1371,f363,f191,f448]) ).
fof(f1371,plain,
( product(e_4,e_5,e_3)
| ~ spl0_18
| ~ spl0_55 ),
inference(resolution,[],[f1370,f193]) ).
fof(f1370,plain,
( ! [X5] :
( ~ product(e_1,e_3,X5)
| product(e_4,X5,e_3) )
| ~ spl0_55 ),
inference(resolution,[],[f365,f58]) ).
fof(f1364,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1363,plain,
( $false
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f1360,f34]) ).
fof(f1360,plain,
( equalish(e_1,e_3)
| ~ spl0_53 ),
inference(resolution,[],[f357,f63]) ).
fof(f357,plain,
( product(e_3,e_1,e_3)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl0_53
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1343,plain,
~ spl0_54,
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f1340,f41]) ).
fof(f1340,plain,
( equalish(e_3,e_1)
| ~ spl0_54 ),
inference(resolution,[],[f361,f65]) ).
fof(f361,plain,
( product(e_3,e_1,e_1)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl0_54
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1305,plain,
( ~ spl0_34
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl0_34
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f1299,f44]) ).
fof(f1299,plain,
( equalish(e_3,e_5)
| ~ spl0_34
| ~ spl0_44 ),
inference(resolution,[],[f314,f1291]) ).
fof(f1291,plain,
( ! [X1] :
( ~ product(e_2,X1,e_1)
| equalish(X1,e_5) )
| ~ spl0_34 ),
inference(resolution,[],[f272,f55]) ).
fof(f1295,plain,
( ~ spl0_31
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl0_31
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f1289,f35]) ).
fof(f1289,plain,
( equalish(e_1,e_4)
| ~ spl0_31
| ~ spl0_34 ),
inference(resolution,[],[f272,f979]) ).
fof(f979,plain,
( ! [X2] :
( ~ product(e_2,e_5,X2)
| equalish(X2,e_4) )
| ~ spl0_31 ),
inference(resolution,[],[f260,f54]) ).
fof(f1270,plain,
( ~ spl0_28
| ~ spl0_36
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1269,plain,
( $false
| ~ spl0_28
| ~ spl0_36
| spl0_56 ),
inference(subsumption_resolution,[],[f1264,f369]) ).
fof(f369,plain,
( ~ product(e_3,e_4,e_2)
| spl0_56 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1264,plain,
( product(e_3,e_4,e_2)
| ~ spl0_28
| ~ spl0_36 ),
inference(resolution,[],[f235,f782]) ).
fof(f782,plain,
( ! [X5] :
( ~ product(e_1,e_2,X5)
| product(e_3,X5,e_2) )
| ~ spl0_36 ),
inference(resolution,[],[f281,f58]) ).
fof(f1263,plain,
( ~ spl0_18
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| ~ spl0_18
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1256,f38]) ).
fof(f1256,plain,
( equalish(e_2,e_3)
| ~ spl0_18
| ~ spl0_27 ),
inference(resolution,[],[f231,f1249]) ).
fof(f1249,plain,
( ! [X1] :
( ~ product(e_1,X1,e_5)
| equalish(X1,e_3) )
| ~ spl0_18 ),
inference(resolution,[],[f193,f55]) ).
fof(f1261,plain,
( spl0_67
| ~ spl0_27
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1255,f279,f229,f414]) ).
fof(f1255,plain,
( product(e_3,e_5,e_2)
| ~ spl0_27
| ~ spl0_36 ),
inference(resolution,[],[f231,f782]) ).
fof(f1244,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1243,plain,
( $false
| ~ spl0_19
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1235,f47]) ).
fof(f1235,plain,
( equalish(e_4,e_3)
| ~ spl0_19
| ~ spl0_23 ),
inference(resolution,[],[f214,f1228]) ).
fof(f1228,plain,
( ! [X1] :
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3) )
| ~ spl0_19 ),
inference(resolution,[],[f197,f55]) ).
fof(f214,plain,
( product(e_1,e_4,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl0_23
<=> product(e_1,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1242,plain,
( ~ spl0_23
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1241,plain,
( $false
| ~ spl0_23
| ~ spl0_56 ),
inference(subsumption_resolution,[],[f1236,f34]) ).
fof(f1236,plain,
( equalish(e_1,e_3)
| ~ spl0_23
| ~ spl0_56 ),
inference(resolution,[],[f214,f1065]) ).
fof(f1065,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_3) )
| ~ spl0_56 ),
inference(resolution,[],[f370,f56]) ).
fof(f1218,plain,
( spl0_75
| ~ spl0_16
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1217,f351,f183,f452]) ).
fof(f1217,plain,
( product(e_4,e_5,e_1)
| ~ spl0_16
| ~ spl0_52 ),
inference(resolution,[],[f1215,f353]) ).
fof(f1215,plain,
( ! [X3] :
( ~ product(e_3,e_1,X3)
| product(e_4,X3,e_1) )
| ~ spl0_16 ),
inference(resolution,[],[f185,f58]) ).
fof(f1209,plain,
( ~ spl0_18
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl0_18
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f1202,f44]) ).
fof(f1202,plain,
( equalish(e_3,e_5)
| ~ spl0_18
| ~ spl0_52 ),
inference(resolution,[],[f1197,f61]) ).
fof(f1197,plain,
( product(e_5,e_5,e_3)
| ~ spl0_18
| ~ spl0_52 ),
inference(resolution,[],[f193,f1181]) ).
fof(f1181,plain,
( ! [X5] :
( ~ product(e_1,e_3,X5)
| product(e_5,X5,e_3) )
| ~ spl0_52 ),
inference(resolution,[],[f353,f58]) ).
fof(f1184,plain,
( spl0_34
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1176,f351,f195,f270]) ).
fof(f1176,plain,
( product(e_2,e_5,e_1)
| ~ spl0_19
| ~ spl0_52 ),
inference(resolution,[],[f353,f1005]) ).
fof(f1005,plain,
( ! [X3] :
( ~ product(e_3,e_1,X3)
| product(e_2,X3,e_1) )
| ~ spl0_19 ),
inference(resolution,[],[f197,f58]) ).
fof(f1161,plain,
~ spl0_48,
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1157,f46]) ).
fof(f1157,plain,
( equalish(e_4,e_2)
| ~ spl0_48 ),
inference(resolution,[],[f331,f63]) ).
fof(f331,plain,
( product(e_2,e_4,e_2)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_48
<=> product(e_2,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1128,plain,
( ~ spl0_19
| spl0_47
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1127,plain,
( $false
| ~ spl0_19
| spl0_47
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f1055,f326]) ).
fof(f326,plain,
( ~ product(e_2,e_4,e_1)
| spl0_47 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f1055,plain,
( product(e_2,e_4,e_1)
| ~ spl0_19
| ~ spl0_55 ),
inference(resolution,[],[f365,f1005]) ).
fof(f1126,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f1120,f43]) ).
fof(f1120,plain,
( equalish(e_3,e_4)
| ~ spl0_44
| ~ spl0_47 ),
inference(resolution,[],[f314,f962]) ).
fof(f962,plain,
( ! [X1] :
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4) )
| ~ spl0_47 ),
inference(resolution,[],[f327,f55]) ).
fof(f1118,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f1112,f42]) ).
fof(f1112,plain,
( equalish(e_3,e_2)
| ~ spl0_42 ),
inference(resolution,[],[f306,f63]) ).
fof(f306,plain,
( product(e_2,e_3,e_2)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl0_42
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1103,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f1099,f38]) ).
fof(f1099,plain,
( equalish(e_2,e_3)
| ~ spl0_45 ),
inference(resolution,[],[f318,f65]) ).
fof(f318,plain,
( product(e_2,e_3,e_3)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_45
<=> product(e_2,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1081,plain,
~ spl0_61,
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f1078,f42]) ).
fof(f1078,plain,
( equalish(e_3,e_2)
| ~ spl0_61 ),
inference(resolution,[],[f391,f65]) ).
fof(f391,plain,
( product(e_3,e_2,e_2)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl0_61
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1050,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1049,plain,
( $false
| ~ spl0_19
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f1043,f33]) ).
fof(f1043,plain,
( equalish(e_1,e_2)
| ~ spl0_19
| ~ spl0_51 ),
inference(resolution,[],[f1028,f61]) ).
fof(f1028,plain,
( product(e_2,e_2,e_1)
| ~ spl0_19
| ~ spl0_51 ),
inference(resolution,[],[f349,f1005]) ).
fof(f1017,plain,
( ~ spl0_12
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl0_12
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f1011,f52]) ).
fof(f1011,plain,
( equalish(e_5,e_4)
| ~ spl0_12
| ~ spl0_25 ),
inference(resolution,[],[f168,f903]) ).
fof(f903,plain,
( ! [X1] :
( ~ product(e_1,X1,e_3)
| equalish(X1,e_4) )
| ~ spl0_25 ),
inference(resolution,[],[f222,f55]) ).
fof(f1007,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1006,plain,
( $false
| ~ spl0_11
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1001,f44]) ).
fof(f1001,plain,
( equalish(e_3,e_5)
| ~ spl0_11
| ~ spl0_19 ),
inference(resolution,[],[f197,f896]) ).
fof(f896,plain,
( ! [X1] :
( ~ product(e_1,X1,e_2)
| equalish(X1,e_5) )
| ~ spl0_11 ),
inference(resolution,[],[f164,f55]) ).
fof(f1000,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f999,plain,
( $false
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f998,f41]) ).
fof(f998,plain,
( equalish(e_3,e_1)
| ~ spl0_20 ),
inference(resolution,[],[f201,f63]) ).
fof(f201,plain,
( product(e_1,e_3,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl0_20
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f990,plain,
( ~ spl0_18
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl0_18
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f984,f37]) ).
fof(f984,plain,
( equalish(e_2,e_1)
| ~ spl0_18
| ~ spl0_43 ),
inference(resolution,[],[f310,f770]) ).
fof(f770,plain,
( ! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(X0,e_1) )
| ~ spl0_18 ),
inference(resolution,[],[f193,f56]) ).
fof(f976,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f974,f40]) ).
fof(f974,plain,
( equalish(e_2,e_5)
| ~ spl0_35 ),
inference(resolution,[],[f276,f65]) ).
fof(f276,plain,
( product(e_2,e_5,e_5)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl0_35
<=> product(e_2,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f966,plain,
( ~ spl0_34
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl0_34
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f960,f48]) ).
fof(f960,plain,
( equalish(e_4,e_5)
| ~ spl0_34
| ~ spl0_47 ),
inference(resolution,[],[f327,f944]) ).
fof(f944,plain,
( ! [X1] :
( ~ product(e_2,X1,e_1)
| equalish(X1,e_5) )
| ~ spl0_34 ),
inference(resolution,[],[f272,f55]) ).
fof(f959,plain,
~ spl0_46,
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f958,plain,
( $false
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f955,f39]) ).
fof(f955,plain,
( equalish(e_2,e_4)
| ~ spl0_46 ),
inference(resolution,[],[f323,f65]) ).
fof(f323,plain,
( product(e_2,e_4,e_4)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl0_46
<=> product(e_2,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f939,plain,
( ~ spl0_31
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f938,plain,
( $false
| ~ spl0_31
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f933,f44]) ).
fof(f933,plain,
( equalish(e_3,e_5)
| ~ spl0_31
| ~ spl0_41 ),
inference(resolution,[],[f302,f927]) ).
fof(f927,plain,
( ! [X1] :
( ~ product(e_2,X1,e_4)
| equalish(X1,e_5) )
| ~ spl0_31 ),
inference(resolution,[],[f260,f55]) ).
fof(f925,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f921,f50]) ).
fof(f921,plain,
( equalish(e_5,e_2)
| ~ spl0_32 ),
inference(resolution,[],[f264,f63]) ).
fof(f264,plain,
( product(e_2,e_5,e_2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl0_32
<=> product(e_2,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f915,plain,
( ~ spl0_33
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl0_33
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f909,f49]) ).
fof(f909,plain,
( equalish(e_5,e_1)
| ~ spl0_33
| ~ spl0_36 ),
inference(resolution,[],[f268,f780]) ).
fof(f780,plain,
( ! [X3] :
( ~ product(e_2,X3,e_3)
| equalish(X3,e_1) )
| ~ spl0_36 ),
inference(resolution,[],[f281,f55]) ).
fof(f890,plain,
( ~ spl0_13
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl0_13
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f884,f40]) ).
fof(f884,plain,
( equalish(e_2,e_5)
| ~ spl0_13
| ~ spl0_28 ),
inference(resolution,[],[f235,f870]) ).
fof(f870,plain,
( ! [X1] :
( ~ product(e_1,X1,e_4)
| equalish(X1,e_5) )
| ~ spl0_13 ),
inference(resolution,[],[f172,f55]) ).
fof(f868,plain,
( ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f867,plain,
( $false
| ~ spl0_18
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f862,f47]) ).
fof(f862,plain,
( equalish(e_4,e_3)
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f218,f771]) ).
fof(f771,plain,
( ! [X1] :
( ~ product(e_1,X1,e_5)
| equalish(X1,e_3) )
| ~ spl0_18 ),
inference(resolution,[],[f193,f55]) ).
fof(f861,plain,
( ~ spl0_29
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl0_29
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f853,f38]) ).
fof(f853,plain,
( equalish(e_2,e_3)
| ~ spl0_29
| ~ spl0_36 ),
inference(resolution,[],[f844,f61]) ).
fof(f844,plain,
( product(e_3,e_3,e_2)
| ~ spl0_29
| ~ spl0_36 ),
inference(resolution,[],[f239,f782]) ).
fof(f851,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl0_25
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f845,f39]) ).
fof(f845,plain,
( equalish(e_2,e_4)
| ~ spl0_25
| ~ spl0_29 ),
inference(resolution,[],[f239,f838]) ).
fof(f838,plain,
( ! [X1] :
( ~ product(e_1,X1,e_3)
| equalish(X1,e_4) )
| ~ spl0_25 ),
inference(resolution,[],[f222,f55]) ).
fof(f829,plain,
( ~ spl0_13
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl0_13
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f823,f33]) ).
fof(f823,plain,
( equalish(e_1,e_2)
| ~ spl0_13
| ~ spl0_31 ),
inference(resolution,[],[f172,f677]) ).
fof(f677,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) )
| ~ spl0_31 ),
inference(resolution,[],[f260,f56]) ).
fof(f822,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f820,f49]) ).
fof(f820,plain,
( equalish(e_5,e_1)
| ~ spl0_15 ),
inference(resolution,[],[f180,f63]) ).
fof(f180,plain,
( product(e_1,e_5,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_15
<=> product(e_1,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f813,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f811,f36]) ).
fof(f811,plain,
( equalish(e_1,e_5)
| ~ spl0_14 ),
inference(resolution,[],[f176,f65]) ).
fof(f176,plain,
( product(e_1,e_5,e_5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl0_14
<=> product(e_1,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f805,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f801,f33]) ).
fof(f801,plain,
( equalish(e_1,e_2)
| ~ spl0_30 ),
inference(resolution,[],[f243,f65]) ).
fof(f243,plain,
( product(e_1,e_2,e_2)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_30
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f794,plain,
( ~ spl0_12
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f793,plain,
( $false
| ~ spl0_12
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f788,f40]) ).
fof(f788,plain,
( equalish(e_2,e_5)
| ~ spl0_12
| ~ spl0_29 ),
inference(resolution,[],[f239,f657]) ).
fof(f657,plain,
( ! [X1] :
( ~ product(e_1,X1,e_3)
| equalish(X1,e_5) )
| ~ spl0_12 ),
inference(resolution,[],[f168,f55]) ).
fof(f783,plain,
( spl0_78
| ~ spl0_28
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f777,f279,f233,f465]) ).
fof(f777,plain,
( product(e_4,e_3,e_1)
| ~ spl0_28
| ~ spl0_36 ),
inference(resolution,[],[f281,f754]) ).
fof(f754,plain,
( ! [X3] :
( ~ product(e_2,e_1,X3)
| product(e_4,X3,e_1) )
| ~ spl0_28 ),
inference(resolution,[],[f235,f58]) ).
fof(f767,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f765,f34]) ).
fof(f765,plain,
( equalish(e_1,e_3)
| ~ spl0_17 ),
inference(resolution,[],[f189,f65]) ).
fof(f189,plain,
( product(e_1,e_3,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_17
<=> product(e_1,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f756,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl0_16
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f750,f38]) ).
fof(f750,plain,
( equalish(e_2,e_3)
| ~ spl0_16
| ~ spl0_28 ),
inference(resolution,[],[f235,f623]) ).
fof(f623,plain,
( ! [X1] :
( ~ product(e_1,X1,e_4)
| equalish(X1,e_3) )
| ~ spl0_16 ),
inference(resolution,[],[f185,f55]) ).
fof(f745,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f744,plain,
( $false
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f742,f33]) ).
fof(f742,plain,
( equalish(e_1,e_2)
| ~ spl0_40 ),
inference(resolution,[],[f297,f63]) ).
fof(f297,plain,
( product(e_2,e_1,e_2)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl0_40
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f720,plain,
( ~ spl0_31
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl0_31
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f713,f36]) ).
fof(f713,plain,
( equalish(e_1,e_5)
| ~ spl0_31
| ~ spl0_38 ),
inference(resolution,[],[f289,f678]) ).
fof(f678,plain,
( ! [X1] :
( ~ product(e_2,X1,e_4)
| equalish(X1,e_5) )
| ~ spl0_31 ),
inference(resolution,[],[f260,f55]) ).
fof(f711,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f704,f37]) ).
fof(f704,plain,
( equalish(e_2,e_1)
| ~ spl0_37 ),
inference(resolution,[],[f285,f65]) ).
fof(f285,plain,
( product(e_2,e_1,e_1)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl0_37
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f669,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f667,f37]) ).
fof(f667,plain,
( equalish(e_2,e_1)
| ~ spl0_26 ),
inference(resolution,[],[f227,f63]) ).
fof(f227,plain,
( product(e_1,e_2,e_1)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_26
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f652,plain,
( ~ spl0_11
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f651,plain,
( $false
| ~ spl0_11
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f646,f48]) ).
fof(f646,plain,
( equalish(e_4,e_5)
| ~ spl0_11
| ~ spl0_23 ),
inference(resolution,[],[f214,f616]) ).
fof(f616,plain,
( ! [X1] :
( ~ product(e_1,X1,e_2)
| equalish(X1,e_5) )
| ~ spl0_11 ),
inference(resolution,[],[f164,f55]) ).
fof(f645,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f641,f35]) ).
fof(f641,plain,
( equalish(e_1,e_4)
| ~ spl0_22 ),
inference(resolution,[],[f210,f65]) ).
fof(f210,plain,
( product(e_1,e_4,e_4)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl0_22
<=> product(e_1,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f635,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f633,f45]) ).
fof(f633,plain,
( equalish(e_4,e_1)
| ~ spl0_21 ),
inference(resolution,[],[f206,f63]) ).
fof(f206,plain,
( product(e_1,e_4,e_1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_21
<=> product(e_1,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f497,plain,
( spl0_81
| spl0_82
| spl0_83
| spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f430,f494,f490,f486,f482,f478]) ).
fof(f430,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(resolution,[],[f126,f28]) ).
fof(f28,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f126,plain,
! [X3] :
( ~ group_element(X3)
| product(e_4,X3,e_5)
| product(e_4,X3,e_3)
| product(e_4,X3,e_4)
| product(e_4,X3,e_2)
| product(e_4,X3,e_1) ),
inference(resolution,[],[f53,f31]) ).
fof(f31,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f53,axiom,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,X1,e_5)
| product(X0,X1,e_1)
| ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f476,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f432,f473,f469,f465,f461,f457]) ).
fof(f432,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(resolution,[],[f126,f30]) ).
fof(f30,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f455,plain,
( spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(avatar_split_clause,[],[f434,f452,f448,f444,f440,f436]) ).
fof(f434,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_5) ),
inference(resolution,[],[f126,f32]) ).
fof(f32,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
fof(f429,plain,
( spl0_66
| spl0_67
| spl0_68
| spl0_69
| spl0_70 ),
inference(avatar_split_clause,[],[f345,f426,f422,f418,f414,f410]) ).
fof(f345,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_5) ),
inference(resolution,[],[f125,f32]) ).
fof(f125,plain,
! [X2] :
( ~ group_element(X2)
| product(e_3,X2,e_1)
| product(e_3,X2,e_3)
| product(e_3,X2,e_4)
| product(e_3,X2,e_2)
| product(e_3,X2,e_5) ),
inference(resolution,[],[f53,f30]) ).
fof(f408,plain,
( spl0_61
| spl0_62
| spl0_63
| spl0_64
| spl0_65 ),
inference(avatar_split_clause,[],[f342,f405,f401,f397,f393,f389]) ).
fof(f342,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,[],[f125,f29]) ).
fof(f29,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f387,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59
| spl0_60 ),
inference(avatar_split_clause,[],[f344,f384,f380,f376,f372,f368]) ).
fof(f344,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(resolution,[],[f125,f31]) ).
fof(f366,plain,
( spl0_51
| spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(avatar_split_clause,[],[f341,f363,f359,f355,f351,f347]) ).
fof(f341,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(resolution,[],[f125,f28]) ).
fof(f340,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f255,f337,f333,f329,f325,f321]) ).
fof(f255,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_4) ),
inference(resolution,[],[f124,f31]) ).
fof(f124,plain,
! [X1] :
( ~ group_element(X1)
| product(e_2,X1,e_5)
| product(e_2,X1,e_3)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_4) ),
inference(resolution,[],[f53,f29]) ).
fof(f319,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f254,f316,f312,f308,f304,f300]) ).
fof(f254,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(resolution,[],[f124,f30]) ).
fof(f298,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f252,f295,f291,f287,f283,f279]) ).
fof(f252,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[],[f124,f28]) ).
fof(f277,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f256,f274,f270,f266,f262,f258]) ).
fof(f256,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(resolution,[],[f124,f32]) ).
fof(f244,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f157,f241,f237,f233,f229,f225]) ).
fof(f157,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f123,f29]) ).
fof(f123,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| product(e_1,X0,e_2)
| product(e_1,X0,e_5)
| product(e_1,X0,e_1) ),
inference(resolution,[],[f53,f28]) ).
fof(f223,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f159,f220,f216,f212,f208,f204]) ).
fof(f159,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_1) ),
inference(resolution,[],[f123,f31]) ).
fof(f202,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f158,f199,f195,f191,f187,f183]) ).
fof(f158,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(resolution,[],[f123,f30]) ).
fof(f181,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f160,f178,f174,f170,f166,f162]) ).
fof(f160,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(resolution,[],[f123,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP125-3.005 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:23:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (26832)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (26835)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (26843)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 Detected maximum model sizes of [6]
% 0.19/0.51 % (26836)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (26834)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (26855)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (26850)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (26839)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (26852)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (26848)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (26840)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (26858)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (26859)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (26846)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (26844)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (26840)Instruction limit reached!
% 0.19/0.53 % (26840)------------------------------
% 0.19/0.53 % (26840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26840)Termination reason: Unknown
% 0.19/0.53 % (26840)Termination phase: Blocked clause elimination
% 0.19/0.53
% 0.19/0.53 % (26840)Memory used [KB]: 895
% 0.19/0.53 % (26840)Time elapsed: 0.003 s
% 0.19/0.53 % (26840)Instructions burned: 2 (million)
% 0.19/0.53 % (26840)------------------------------
% 0.19/0.53 % (26840)------------------------------
% 0.19/0.53 % (26847)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (26839)Instruction limit reached!
% 0.19/0.53 % (26839)------------------------------
% 0.19/0.53 % (26839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26842)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (26839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26839)Termination reason: Unknown
% 0.19/0.53 % (26839)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (26839)Memory used [KB]: 5500
% 0.19/0.53 % (26839)Time elapsed: 0.118 s
% 0.19/0.53 % (26839)Instructions burned: 7 (million)
% 0.19/0.53 % (26839)------------------------------
% 0.19/0.53 % (26839)------------------------------
% 0.19/0.53 % (26837)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (26854)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (26833)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (26860)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (26861)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (26833)Refutation not found, incomplete strategy% (26833)------------------------------
% 0.19/0.53 % (26833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26833)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (26833)Memory used [KB]: 5500
% 0.19/0.53 % (26833)Time elapsed: 0.136 s
% 0.19/0.53 % (26833)Instructions burned: 1 (million)
% 0.19/0.53 % (26833)------------------------------
% 0.19/0.53 % (26833)------------------------------
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (26853)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (26851)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (26856)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (26845)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (26857)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (26838)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (26841)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (26849)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 Detected maximum model sizes of [6]
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 Detected maximum model sizes of [6]
% 1.58/0.54 % (26834)Instruction limit reached!
% 1.58/0.54 % (26834)------------------------------
% 1.58/0.54 % (26834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 TRYING [4]
% 1.58/0.55 TRYING [4]
% 1.58/0.56 TRYING [1]
% 1.58/0.56 TRYING [5]
% 1.58/0.56 TRYING [2]
% 1.58/0.56 TRYING [3]
% 1.69/0.56 % (26834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56 % (26834)Termination reason: Unknown
% 1.69/0.56 % (26834)Termination phase: Saturation
% 1.69/0.56
% 1.69/0.56 % (26834)Memory used [KB]: 1151
% 1.69/0.56 % (26834)Time elapsed: 0.153 s
% 1.69/0.56 % (26834)Instructions burned: 37 (million)
% 1.69/0.56 % (26834)------------------------------
% 1.69/0.56 % (26834)------------------------------
% 1.69/0.57 TRYING [4]
% 1.69/0.57 TRYING [5]
% 1.69/0.57 TRYING [5]
% 1.69/0.58 % (26838)Instruction limit reached!
% 1.69/0.58 % (26838)------------------------------
% 1.69/0.58 % (26838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (26837)Instruction limit reached!
% 1.69/0.59 % (26837)------------------------------
% 1.69/0.59 % (26837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (26838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (26838)Termination reason: Unknown
% 1.69/0.60 % (26838)Termination phase: Finite model building SAT solving
% 1.69/0.60
% 1.69/0.60 % (26838)Memory used [KB]: 6652
% 1.69/0.60 % (26838)Time elapsed: 0.126 s
% 1.69/0.60 % (26838)Instructions burned: 52 (million)
% 1.69/0.60 % (26838)------------------------------
% 1.69/0.60 % (26838)------------------------------
% 1.69/0.60 % (26836)Instruction limit reached!
% 1.69/0.60 % (26836)------------------------------
% 1.69/0.60 % (26836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (26842)Instruction limit reached!
% 1.69/0.60 % (26842)------------------------------
% 1.69/0.60 % (26842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (26842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (26842)Termination reason: Unknown
% 1.69/0.60 % (26842)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (26842)Memory used [KB]: 6140
% 1.69/0.60 % (26842)Time elapsed: 0.188 s
% 1.69/0.60 % (26842)Instructions burned: 50 (million)
% 1.69/0.60 % (26842)------------------------------
% 1.69/0.60 % (26842)------------------------------
% 1.69/0.60 % (26847)Instruction limit reached!
% 1.69/0.60 % (26847)------------------------------
% 1.69/0.60 % (26847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (26847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (26847)Termination reason: Unknown
% 1.69/0.60 % (26847)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (26835)Instruction limit reached!
% 1.69/0.60 % (26835)------------------------------
% 1.69/0.60 % (26835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (26835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (26835)Termination reason: Unknown
% 1.69/0.60 % (26835)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (26835)Memory used [KB]: 6268
% 1.69/0.60 % (26835)Time elapsed: 0.206 s
% 1.69/0.60 % (26835)Instructions burned: 53 (million)
% 1.69/0.60 % (26835)------------------------------
% 1.69/0.60 % (26835)------------------------------
% 1.69/0.60 % (26847)Memory used [KB]: 1151
% 1.69/0.60 % (26847)Time elapsed: 0.200 s
% 1.69/0.60 % (26847)Instructions burned: 75 (million)
% 1.69/0.60 % (26847)------------------------------
% 1.69/0.60 % (26847)------------------------------
% 1.69/0.60 % (26837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (26837)Termination reason: Unknown
% 1.69/0.60 % (26837)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (26837)Memory used [KB]: 5756
% 1.69/0.60 % (26837)Time elapsed: 0.178 s
% 1.69/0.60 % (26837)Instructions burned: 48 (million)
% 1.69/0.60 % (26837)------------------------------
% 1.69/0.60 % (26837)------------------------------
% 1.69/0.60 TRYING [6]
% 1.69/0.61 % (26858)Instruction limit reached!
% 1.69/0.61 % (26858)------------------------------
% 1.69/0.61 % (26858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (26858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (26858)Termination reason: Unknown
% 1.69/0.61 % (26858)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (26858)Memory used [KB]: 6140
% 1.69/0.61 % (26858)Time elapsed: 0.031 s
% 1.69/0.61 % (26858)Instructions burned: 68 (million)
% 1.69/0.61 % (26858)------------------------------
% 1.69/0.61 % (26858)------------------------------
% 1.69/0.61 % (26836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (26836)Termination reason: Unknown
% 1.69/0.61 % (26836)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (26836)Memory used [KB]: 6268
% 1.69/0.61 % (26836)Time elapsed: 0.210 s
% 1.69/0.61 % (26836)Instructions burned: 51 (million)
% 1.69/0.61 % (26836)------------------------------
% 1.69/0.61 % (26836)------------------------------
% 1.69/0.61 % (26846)Instruction limit reached!
% 1.69/0.61 % (26846)------------------------------
% 1.69/0.61 % (26846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (26846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (26846)Termination reason: Unknown
% 1.69/0.61 % (26846)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (26846)Memory used [KB]: 6140
% 1.69/0.61 % (26846)Time elapsed: 0.033 s
% 1.69/0.61 % (26846)Instructions burned: 71 (million)
% 1.69/0.61 % (26846)------------------------------
% 1.69/0.61 % (26846)------------------------------
% 1.69/0.62 % (26849)Instruction limit reached!
% 1.69/0.62 % (26849)------------------------------
% 1.69/0.62 % (26849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62 % (26849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62 % (26849)Termination reason: Unknown
% 1.69/0.62 % (26849)Termination phase: Finite model building SAT solving
% 1.69/0.62
% 1.69/0.62 % (26849)Memory used [KB]: 6652
% 1.69/0.62 % (26849)Time elapsed: 0.188 s
% 1.69/0.62 % (26849)Instructions burned: 60 (million)
% 1.69/0.62 % (26849)------------------------------
% 1.69/0.62 % (26849)------------------------------
% 2.21/0.63 % (26841)Instruction limit reached!
% 2.21/0.63 % (26841)------------------------------
% 2.21/0.63 % (26841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.63 % (26841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.63 % (26841)Termination reason: Unknown
% 2.21/0.63 % (26841)Termination phase: Saturation
% 2.21/0.63
% 2.21/0.63 % (26841)Memory used [KB]: 1279
% 2.21/0.63 % (26841)Time elapsed: 0.226 s
% 2.21/0.63 % (26841)Instructions burned: 51 (million)
% 2.21/0.63 % (26841)------------------------------
% 2.21/0.63 % (26841)------------------------------
% 2.41/0.66 % (26862)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.41/0.67 % (26851)Instruction limit reached!
% 2.41/0.67 % (26851)------------------------------
% 2.41/0.67 % (26851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67 % (26851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67 % (26851)Termination reason: Unknown
% 2.41/0.67 % (26851)Termination phase: Saturation
% 2.41/0.67
% 2.41/0.67 % (26851)Memory used [KB]: 1151
% 2.41/0.67 % (26851)Time elapsed: 0.256 s
% 2.41/0.67 % (26851)Instructions burned: 101 (million)
% 2.41/0.67 % (26851)------------------------------
% 2.41/0.67 % (26851)------------------------------
% 2.41/0.67 % (26855)First to succeed.
% 2.41/0.68 % (26863)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.41/0.68 % (26864)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.41/0.68 % (26848)Instruction limit reached!
% 2.41/0.68 % (26848)------------------------------
% 2.41/0.68 % (26848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68 % (26848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68 % (26848)Termination reason: Unknown
% 2.41/0.68 % (26848)Termination phase: Saturation
% 2.41/0.68
% 2.41/0.68 % (26848)Memory used [KB]: 5884
% 2.41/0.68 % (26848)Time elapsed: 0.257 s
% 2.41/0.68 % (26848)Instructions burned: 101 (million)
% 2.41/0.68 % (26848)------------------------------
% 2.41/0.68 % (26848)------------------------------
% 2.41/0.68 % (26850)Instruction limit reached!
% 2.41/0.68 % (26850)------------------------------
% 2.41/0.68 % (26850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68 % (26850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68 % (26850)Termination reason: Unknown
% 2.41/0.68 % (26850)Termination phase: Saturation
% 2.41/0.68
% 2.41/0.68 % (26850)Memory used [KB]: 6140
% 2.41/0.68 % (26850)Time elapsed: 0.280 s
% 2.41/0.68 % (26850)Instructions burned: 100 (million)
% 2.41/0.68 % (26850)------------------------------
% 2.41/0.68 % (26850)------------------------------
% 2.41/0.68 % (26865)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.41/0.68 % (26845)Instruction limit reached!
% 2.41/0.68 % (26845)------------------------------
% 2.41/0.68 % (26845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68 % (26845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68 % (26845)Termination reason: Unknown
% 2.41/0.68 % (26845)Termination phase: Saturation
% 2.41/0.68
% 2.41/0.68 % (26845)Memory used [KB]: 6140
% 2.41/0.68 % (26845)Time elapsed: 0.282 s
% 2.41/0.68 % (26845)Instructions burned: 99 (million)
% 2.41/0.68 % (26845)------------------------------
% 2.41/0.68 % (26845)------------------------------
% 2.41/0.68 % (26832)Also succeeded, but the first one will report.
% 2.41/0.69 % (26843)Instruction limit reached!
% 2.41/0.69 % (26843)------------------------------
% 2.41/0.69 % (26843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69 % (26843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.69 % (26843)Termination reason: Unknown
% 2.41/0.69 % (26843)Termination phase: Saturation
% 2.41/0.69
% 2.41/0.69 % (26843)Memory used [KB]: 6652
% 2.41/0.69 % (26843)Time elapsed: 0.295 s
% 2.41/0.69 % (26843)Instructions burned: 100 (million)
% 2.41/0.69 % (26843)------------------------------
% 2.41/0.69 % (26843)------------------------------
% 2.41/0.69 % (26855)Refutation found. Thanks to Tanya!
% 2.41/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.41/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.69 % (26855)------------------------------
% 2.41/0.69 % (26855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69 % (26855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.69 % (26855)Termination reason: Refutation
% 2.41/0.69
% 2.41/0.69 % (26855)Memory used [KB]: 6396
% 2.41/0.69 % (26855)Time elapsed: 0.279 s
% 2.41/0.69 % (26855)Instructions burned: 107 (million)
% 2.41/0.69 % (26855)------------------------------
% 2.41/0.69 % (26855)------------------------------
% 2.41/0.69 % (26831)Success in time 0.331 s
%------------------------------------------------------------------------------