TSTP Solution File: GRP341-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Tue Apr 30 12:02:12 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 48
% Syntax : Number of formulae : 625 ( 110 unt; 0 def)
% Number of atoms : 2462 (1265 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 3381 (1544 ~;1828 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 590 ( 590 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3355,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f185,f199,f608,f681,f779,f781,f784,f793,f1595,f1611,f1613,f1616,f1746,f1823,f2251,f2476,f2541,f2856,f3065,f3118,f3121,f3208,f3213,f3304,f3306,f3309,f3311,f3313,f3315,f3317,f3320,f3322,f3324,f3326,f3328,f3330,f3332,f3334,f3336,f3338,f3340,f3342,f3344,f3346,f3348,f3350,f3352,f3354]) ).
fof(f3354,plain,
( ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
fof(f3353,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f47,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f675,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl0_6
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f739,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| spl0_6 ),
inference(subsumption_resolution,[],[f4,f675]) ).
fof(f790,plain,
( sk_c7 = inverse(sk_c3)
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f5,f1,f2,f12,f3,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f539,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f38,f37,f35,f32,f24,f23,f21,f18,f10,f9,f7,f4,f36,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f19]) ).
fof(f771,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| spl0_6 ),
inference(subsumption_resolution,[],[f9,f675]) ).
fof(f750,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(subsumption_resolution,[],[f7,f675]) ).
fof(f791,plain,
( sk_c7 = inverse(sk_c3)
| spl0_6 ),
inference(subsumption_resolution,[],[f5,f675]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f3318,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| spl0_4 ),
inference(subsumption_resolution,[],[f6,f193]) ).
fof(f3074,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_4 ),
inference(subsumption_resolution,[],[f20,f193]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f21,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f3016,plain,
( ! [X0] : sk_c2 = multiply(multiply(sk_c6,X0),inverse(multiply(sk_c5,X0)))
| spl0_4 ),
inference(superposition,[],[f1136,f2869]) ).
fof(f3015,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(multiply(sk_c6,X0)),sk_c2)
| spl0_4 ),
inference(superposition,[],[f1140,f2869]) ).
fof(f3011,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,inverse(multiply(inverse(X0),sk_c5)))
| spl0_4 ),
inference(superposition,[],[f2869,f1077]) ).
fof(f3010,plain,
( ! [X0] : multiply(sk_c6,inverse(multiply(X0,sk_c5))) = multiply(sk_c2,inverse(X0))
| spl0_4 ),
inference(superposition,[],[f2869,f1073]) ).
fof(f3024,plain,
( sk_c2 = multiply(sk_c6,inverse(sk_c5))
| spl0_4 ),
inference(forward_demodulation,[],[f3009,f447]) ).
fof(f3009,plain,
( multiply(sk_c2,identity) = multiply(sk_c6,inverse(sk_c5))
| spl0_4 ),
inference(superposition,[],[f2869,f446]) ).
fof(f3023,plain,
( sk_c2 = multiply(sk_c6,inverse(sk_c5))
| spl0_4 ),
inference(forward_demodulation,[],[f3022,f447]) ).
fof(f3022,plain,
( multiply(sk_c2,identity) = multiply(sk_c6,inverse(sk_c5))
| spl0_4 ),
inference(forward_demodulation,[],[f3008,f1073]) ).
fof(f3008,plain,
( ! [X0] : multiply(sk_c2,identity) = multiply(sk_c6,multiply(X0,inverse(multiply(sk_c5,X0))))
| spl0_4 ),
inference(superposition,[],[f2869,f539]) ).
fof(f3007,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(inverse(sk_c5),X0))
| spl0_4 ),
inference(superposition,[],[f2869,f448]) ).
fof(f2869,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| spl0_4 ),
inference(superposition,[],[f3,f2544]) ).
fof(f2865,plain,
( sk_c2 = multiply(sk_c6,inverse(sk_c5))
| spl0_4 ),
inference(superposition,[],[f1136,f2544]) ).
fof(f2544,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f38,f37,f35,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f193,f34]) ).
fof(f2862,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f24,f21,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f2544,f36]) ).
fof(f36,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f2546,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f37,f35,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f193,f34,f2544,f38]) ).
fof(f2549,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f35,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f193,f34,f2544,f38,f2546,f37]) ).
fof(f2550,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f193,f34,f2544,f38,f2546,f37,f2549,f35]) ).
fof(f2551,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f427,f8,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19,f193,f34,f2544,f38,f2546,f37,f2549,f35,f2550,f32]) ).
fof(f193,plain,
( sk_c6 != inverse(sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f35,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f37,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f1557,plain,
! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f1216,f1411]) ).
fof(f1555,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
inference(superposition,[],[f3,f1411]) ).
fof(f1551,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1136,f1411]) ).
fof(f1545,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
inference(superposition,[],[f1411,f3]) ).
fof(f1411,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1361,f464]) ).
fof(f1361,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f1077,f1073]) ).
fof(f1473,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1216,f1140]) ).
fof(f1471,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
inference(superposition,[],[f3,f1140]) ).
fof(f1467,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1136,f1140]) ).
fof(f1452,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1140,f448]) ).
fof(f1451,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1140,f68]) ).
fof(f1445,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
inference(superposition,[],[f1140,f3]) ).
fof(f1140,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1093,f464]) ).
fof(f1093,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1073,f1073]) ).
fof(f1381,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f1077]) ).
fof(f1380,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f448,f1077]) ).
fof(f1378,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f1077]) ).
fof(f1377,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f68,f1077]) ).
fof(f1376,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f539,f1077]) ).
fof(f1375,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f1073,f1077]) ).
fof(f1366,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f1077,f3]) ).
fof(f1362,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f1077,f1077]) ).
fof(f1077,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1006,f447]) ).
fof(f1006,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f448,f539]) ).
fof(f1308,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1216]) ).
fof(f1307,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f68,f1216]) ).
fof(f1306,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f539,f1216]) ).
fof(f1305,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1073,f1216]) ).
fof(f1302,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1216,f3]) ).
fof(f1216,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1136,f464]) ).
fof(f1227,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1136]) ).
fof(f1226,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f68,f1136]) ).
fof(f1225,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f539,f1136]) ).
fof(f1224,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1073,f1136]) ).
fof(f1204,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1136,f448]) ).
fof(f1197,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1136,f3]) ).
fof(f1136,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1089,f464]) ).
fof(f1089,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1073,f68]) ).
fof(f1113,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1073]) ).
fof(f1112,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f448,f1073]) ).
fof(f1110,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1073]) ).
fof(f1109,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f68,f1073]) ).
fof(f1170,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1108,f464]) ).
fof(f1108,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f539,f1073]) ).
fof(f1102,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1073,f3]) ).
fof(f1090,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1073,f448]) ).
fof(f1083,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1073,f3]) ).
fof(f1073,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1003,f447]) ).
fof(f1003,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f68,f539]) ).
fof(f1078,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1007,f3]) ).
fof(f1007,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f539]) ).
fof(f1075,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1074,f3]) ).
fof(f1074,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f1004,f1]) ).
fof(f1004,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f539]) ).
fof(f1052,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f993,f3]) ).
fof(f993,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f539,f3]) ).
fof(f985,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f539,f3]) ).
fof(f967,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f539,f3]) ).
fof(f539,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f446,f3]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f427,plain,
identity = inverse(identity),
inference(superposition,[],[f411,f355]) ).
fof(f29,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f354,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f68,f1]) ).
fof(f430,plain,
identity = inverse(identity),
inference(superposition,[],[f355,f411]) ).
fof(f465,plain,
identity = inverse(identity),
inference(superposition,[],[f447,f2]) ).
fof(f610,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f466,f464]) ).
fof(f466,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f447,f411]) ).
fof(f470,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f447]) ).
fof(f609,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f471,f464]) ).
fof(f471,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f411,f447]) ).
fof(f537,plain,
identity = inverse(identity),
inference(superposition,[],[f446,f1]) ).
fof(f540,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f446]) ).
fof(f577,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f448,f1]) ).
fof(f580,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f1,f448]) ).
fof(f587,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f448]) ).
fof(f579,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f448,f3]) ).
fof(f448,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f361,f68]) ).
fof(f548,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f446]) ).
fof(f562,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f546,f1]) ).
fof(f546,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f446]) ).
fof(f446,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f361,f2]) ).
fof(f497,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f464]) ).
fof(f496,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f68,f464]) ).
fof(f464,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f447,f355]) ).
fof(f485,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f478,f447]) ).
fof(f478,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f361,f447]) ).
fof(f469,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f355,f447]) ).
fof(f482,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f467,f447]) ).
fof(f467,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f447,f361]) ).
fof(f447,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f361,f355]) ).
fof(f454,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f68,f361]) ).
fof(f453,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f355,f361]) ).
fof(f451,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f68,f361]) ).
fof(f450,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f361]) ).
fof(f361,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f68,f68]) ).
fof(f439,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f429,f1]) ).
fof(f429,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f411]) ).
fof(f428,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f68,f411]) ).
fof(f411,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f68,f355]) ).
fof(f421,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f412,f1]) ).
fof(f412,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f355]) ).
fof(f355,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f68,f2]) ).
fof(f356,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f68,f3]) ).
fof(f68,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f59,f1]) ).
fof(f59,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f39,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(sk_c5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f26,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f3352,plain,
( ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3351]) ).
fof(f3351,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f740,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f740,plain,
( identity = sk_c6
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f739,f534]) ).
fof(f534,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f446,f47]) ).
fof(f3350,plain,
( ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3349]) ).
fof(f3349,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f749,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f749,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f746,f1]) ).
fof(f746,plain,
( sk_c5 != multiply(identity,sk_c7)
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f675,f740]) ).
fof(f3348,plain,
( ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
fof(f3347,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f751,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f751,plain,
( sk_c5 = multiply(sk_c4,identity)
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f750,f740]) ).
fof(f3346,plain,
( ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3345]) ).
fof(f3345,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f488,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f488,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f464,f47]) ).
fof(f3344,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3343]) ).
fof(f3343,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f643,f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f643,plain,
( sk_c3 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f490,f488]) ).
fof(f490,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f464,f43]) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_1
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3342,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
fof(f3341,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739,f675]) ).
fof(f3340,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790,f739]) ).
fof(f3338,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
fof(f3337,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f739,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771,f790]) ).
fof(f3336,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3335]) ).
fof(f3335,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f739,f790,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750,f771]) ).
fof(f3334,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3333]) ).
fof(f3333,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791,f750]) ).
fof(f3332,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3331]) ).
fof(f3331,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10,f791]) ).
fof(f3330,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3329]) ).
fof(f3329,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4,f10]) ).
fof(f3328,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3327]) ).
fof(f3327,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9,f4]) ).
fof(f3326,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3325,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5,f9]) ).
fof(f3324,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3323]) ).
fof(f3323,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7,f5]) ).
fof(f3322,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3321,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318,f7]) ).
fof(f3320,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3319]) ).
fof(f3319,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074,f3318]) ).
fof(f3317,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3316]) ).
fof(f3316,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f19,f21,f24,f18,f23,f3074]) ).
fof(f3315,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3314]) ).
fof(f3314,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f3074,f19,f21,f24,f18,f23]) ).
fof(f3313,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3312]) ).
fof(f3312,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f3074,f23,f19,f21,f24,f18]) ).
fof(f3311,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3310]) ).
fof(f3310,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f3074,f18,f23,f19,f21,f24]) ).
fof(f3309,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3308]) ).
fof(f3308,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f3074,f24,f18,f23,f19,f21]) ).
fof(f3306,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f3305]) ).
fof(f3305,plain,
( $false
| spl0_4
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f10,f7,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f790,f791,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f34,f38,f37,f35,f32,f193,f2551,f2550,f2549,f2546,f36,f2862,f2544,f2865,f2869,f3007,f3023,f3024,f3010,f3011,f3015,f3016,f21,f3074,f24,f18,f23,f19]) ).
fof(f3304,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3303]) ).
fof(f3303,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f3302,f3171]) ).
fof(f3171,plain,
( identity != sk_c6
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(superposition,[],[f1740,f3149]) ).
fof(f3149,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3145,f43]) ).
fof(f3145,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3144,f2544]) ).
fof(f3144,plain,
( inverse(sk_c1) = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3137,f621]) ).
fof(f621,plain,
( sk_c2 = inverse(sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f464,f198]) ).
fof(f198,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3137,plain,
( inverse(sk_c1) = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1140,f3070]) ).
fof(f3070,plain,
( sk_c6 = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2732,f447]) ).
fof(f2732,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f814,f186]) ).
fof(f186,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f43]) ).
fof(f814,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f676]) ).
fof(f676,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1740,plain,
( identity != sk_c7
| spl0_8 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f1739,plain,
( spl0_8
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3302,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3301,f427]) ).
fof(f3301,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f680,f3296]) ).
fof(f3296,plain,
( identity = sk_c4
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3288,f446]) ).
fof(f3288,plain,
( sk_c4 = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1136,f3281]) ).
fof(f3281,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3214,f3230]) ).
fof(f3230,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2581,f3172]) ).
fof(f3172,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3158,f621]) ).
fof(f3158,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f464,f3145]) ).
fof(f2581,plain,
( sk_c4 = sk_c2
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f689,f621]) ).
fof(f689,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f464,f680]) ).
fof(f3214,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3074,f3149]) ).
fof(f680,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3213,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3212]) ).
fof(f3212,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f3211,f3171]) ).
fof(f3211,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f3203,f2]) ).
fof(f3203,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f68,f3196]) ).
fof(f3196,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f3135,f3149]) ).
fof(f3135,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f3127,f43]) ).
fof(f3127,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| spl0_7 ),
inference(superposition,[],[f68,f3069]) ).
fof(f3069,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_7 ),
inference(subsumption_resolution,[],[f22,f679]) ).
fof(f679,plain,
( sk_c6 != inverse(sk_c4)
| spl0_7 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f3208,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f3206,f3171]) ).
fof(f3206,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f3200,f446]) ).
fof(f3200,plain,
( sk_c6 = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1136,f3196]) ).
fof(f3121,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f3120]) ).
fof(f3120,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f3119,f3091]) ).
fof(f3091,plain,
( identity = sk_c6
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3088,f619]) ).
fof(f619,plain,
( identity = multiply(sk_c2,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f446,f198]) ).
fof(f3088,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f2544,f1842]) ).
fof(f1842,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1833,f447]) ).
fof(f1833,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f676,f1741]) ).
fof(f1741,plain,
( identity = sk_c7
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f3119,plain,
( identity != sk_c6
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3111,f427]) ).
fof(f3111,plain,
( sk_c6 != inverse(identity)
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f193,f3105]) ).
fof(f3105,plain,
( identity = sk_c5
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3097,f1]) ).
fof(f3097,plain,
( sk_c5 = multiply(identity,identity)
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f2874,f3091]) ).
fof(f2874,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2868,f198]) ).
fof(f2868,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| spl0_4 ),
inference(superposition,[],[f68,f2544]) ).
fof(f3118,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3117]) ).
fof(f3117,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f3116,f3091]) ).
fof(f3116,plain,
( identity != sk_c6
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f3110,f1]) ).
fof(f3110,plain,
( sk_c6 != multiply(identity,identity)
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f1744,f3105]) ).
fof(f1744,plain,
( sk_c6 != multiply(sk_c5,sk_c5)
| spl0_9 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1743,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f3065,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3064]) ).
fof(f3064,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f3063,f1740]) ).
fof(f3063,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3054,f427]) ).
fof(f3054,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f47,f3043]) ).
fof(f3043,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3042,f1671]) ).
fof(f1671,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f47]) ).
fof(f3042,plain,
( sk_c3 = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3035,f447]) ).
fof(f3035,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f2603,f3025]) ).
fof(f3025,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3012,f619]) ).
fof(f3012,plain,
( multiply(sk_c2,sk_c6) = multiply(sk_c6,sk_c3)
| ~ spl0_2
| spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f2869,f2753]) ).
fof(f2753,plain,
( sk_c6 = multiply(sk_c5,sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2731,f447]) ).
fof(f2731,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f814,f1671]) ).
fof(f2603,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f2543]) ).
fof(f2543,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f49,f3,f72,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f43,f186,f188,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f442,f430,f408,f368,f357,f354,f38,f37,f35,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f633,f634,f642,f534,f659,f427,f8,f567,f444,f358,f410,f372,f5,f9,f4,f490,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f1533,f1530,f1449,f1373,f1350,f1347,f1293,f1290,f1221,f1218,f1201,f1107,f23,f803,f569,f811,f802,f536,f18,f19,f1667,f643,f1668,f1669,f1670,f47,f1672,f1686,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f488,f1689,f1690,f1702,f1694,f1695,f1697,f1698,f1699,f1700,f1671,f1719,f1737,f193,f2542]) ).
fof(f2542,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f20,f643]) ).
fof(f1737,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f536,f643]) ).
fof(f1719,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1708,f1]) ).
fof(f1708,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1671]) ).
fof(f1700,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f1411,f488]) ).
fof(f1699,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c7) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1216,f488]) ).
fof(f1698,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c3) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1136,f488]) ).
fof(f1697,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1077,f488]) ).
fof(f1695,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f448,f488]) ).
fof(f1694,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f446,f488]) ).
fof(f1702,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1693,f464]) ).
fof(f1693,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f411,f488]) ).
fof(f1690,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f68,f488]) ).
fof(f1689,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f2,f488]) ).
fof(f1682,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f1411,f47]) ).
fof(f1681,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c3) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1216,f47]) ).
fof(f1680,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c7) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1136,f47]) ).
fof(f1679,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1077,f47]) ).
fof(f1678,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f464,f47]) ).
fof(f1677,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f448,f47]) ).
fof(f1676,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f446,f47]) ).
fof(f1686,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1675,f464]) ).
fof(f1675,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f411,f47]) ).
fof(f1672,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f68,f47]) ).
fof(f1670,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f643]) ).
fof(f1669,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f186,f643]) ).
fof(f1668,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f188,f643]) ).
fof(f1667,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f47,f49,f3,f72,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f442,f430,f408,f368,f357,f354,f38,f37,f35,f32,f24,f21,f10,f7,f36,f31,f30,f28,f25,f22,f29,f488,f633,f634,f642,f534,f659,f427,f8,f567,f5,f9,f4,f539,f967,f985,f1052,f1075,f1078,f1073,f1083,f1090,f1102,f1170,f1109,f1110,f1112,f1113,f1136,f1197,f1204,f1224,f1225,f1226,f1227,f1216,f1302,f1305,f1306,f1307,f1308,f1077,f1362,f1366,f1375,f1376,f1377,f1378,f1380,f1381,f1140,f1445,f1451,f1452,f1467,f1471,f1473,f1411,f1545,f1551,f1555,f1557,f23,f18,f19]) ).
fof(f536,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f446,f43]) ).
fof(f802,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2,f490]) ).
fof(f811,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f806,f464]) ).
fof(f806,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f411,f490]) ).
fof(f569,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f448,f43]) ).
fof(f803,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f68,f490]) ).
fof(f1107,plain,
( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f188,f1073]) ).
fof(f1201,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1136,f188]) ).
fof(f1218,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1136,f490]) ).
fof(f1221,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1136,f43]) ).
fof(f1290,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1216,f490]) ).
fof(f1293,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1216,f43]) ).
fof(f1347,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1077,f490]) ).
fof(f1350,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1077,f43]) ).
fof(f1373,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c1))
| ~ spl0_1 ),
inference(superposition,[],[f188,f1077]) ).
fof(f1449,plain,
( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1140,f188]) ).
fof(f1530,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c1)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1411,f490]) ).
fof(f1533,plain,
( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1411,f43]) ).
fof(f372,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f68,f186]) ).
fof(f410,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f355,f43]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f68,f188]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f361,f43]) ).
fof(f567,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f448,f47]) ).
fof(f659,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f657,f1]) ).
fof(f657,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f534]) ).
fof(f642,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f637,f464]) ).
fof(f637,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f411,f488]) ).
fof(f634,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f68,f488]) ).
fof(f633,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f2,f488]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(superposition,[],[f68,f72]) ).
fof(f368,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_2 ),
inference(superposition,[],[f68,f49]) ).
fof(f408,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_2 ),
inference(superposition,[],[f355,f47]) ).
fof(f442,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(superposition,[],[f361,f47]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f186]) ).
fof(f72,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f66,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f47]) ).
fof(f2856,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2855,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f2854,f2807]) ).
fof(f2807,plain,
( identity != sk_c6
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1740,f2780]) ).
fof(f2780,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2774,f47]) ).
fof(f2774,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2773,f2616]) ).
fof(f2616,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2544,f2581]) ).
fof(f2773,plain,
( inverse(sk_c3) = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2772,f2581]) ).
fof(f2772,plain,
( inverse(sk_c3) = multiply(sk_c2,sk_c5)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2766,f621]) ).
fof(f2766,plain,
( inverse(sk_c3) = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1140,f2753]) ).
fof(f2854,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2846,f2]) ).
fof(f2846,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f68,f2841]) ).
fof(f2841,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2752,f2780]) ).
fof(f2752,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2730,f2634]) ).
fof(f2634,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2625,f680]) ).
fof(f2625,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f68,f2616]) ).
fof(f2730,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f814,f2615]) ).
fof(f2615,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f2602,f47]) ).
fof(f2602,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f68,f2543]) ).
fof(f2541,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2540,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f2539,f427]) ).
fof(f2539,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2534,f2378]) ).
fof(f2378,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f2377]) ).
fof(f2377,plain,
( identity = sk_c6
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2376,f1]) ).
fof(f2376,plain,
( sk_c6 = multiply(identity,identity)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2375,f1840]) ).
fof(f1840,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1831,f427]) ).
fof(f1831,plain,
( sk_c3 = inverse(identity)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f488,f1741]) ).
fof(f2375,plain,
( sk_c6 = multiply(sk_c3,identity)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2374,f1741]) ).
fof(f2374,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2373,f1741]) ).
fof(f2373,plain,
( sk_c6 = sk_c7
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2372,f1]) ).
fof(f2372,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2371,f1840]) ).
fof(f2371,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f18,f643]) ).
fof(f2534,plain,
( sk_c6 != inverse(sk_c6)
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f193,f1842]) ).
fof(f2476,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f2474,f1]) ).
fof(f2474,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f2436,f2296]) ).
fof(f2296,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f2295]) ).
fof(f2295,plain,
( identity = sk_c6
| identity = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2294,f1]) ).
fof(f2294,plain,
( sk_c6 = multiply(identity,identity)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2293,f1840]) ).
fof(f2293,plain,
( sk_c6 = multiply(sk_c3,identity)
| identity = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2292,f1741]) ).
fof(f2292,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2291,f1741]) ).
fof(f2291,plain,
( sk_c6 = sk_c7
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1662,f815]) ).
fof(f815,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f813,f487]) ).
fof(f487,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f464,f194]) ).
fof(f194,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f813,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f68,f676]) ).
fof(f1662,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f32,f647]) ).
fof(f647,plain,
( sk_c5 = sk_c2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f621,f487]) ).
fof(f2436,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1744,f1842]) ).
fof(f2251,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2202,f1743,f1739,f674,f192,f183,f183,f183,f183]) ).
fof(f183,plain,
( spl0_3
<=> ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2202,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2201,f1828]) ).
fof(f1828,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1741,f1747]) ).
fof(f1747,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1745,f815]) ).
fof(f1745,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f2201,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2200,f1828]) ).
fof(f2200,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c6)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2199,f1842]) ).
fof(f2199,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2198,f447]) ).
fof(f2198,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2197,f1842]) ).
fof(f2197,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2196,f1828]) ).
fof(f2196,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2195,f1828]) ).
fof(f2195,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2194,f1842]) ).
fof(f2194,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2193,f1828]) ).
fof(f2193,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2192,f1828]) ).
fof(f2192,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2191,f1828]) ).
fof(f2191,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1647,f1741]) ).
fof(f1647,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,identity)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_4
| ~ spl0_6 ),
inference(inner_rewriting,[],[f1646]) ).
fof(f1646,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1172,f533]) ).
fof(f533,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f446,f194]) ).
fof(f1172,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f506,f676]) ).
fof(f506,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f39,f194]) ).
fof(f1823,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f1822,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1821,f1740]) ).
fof(f1821,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1820,f533]) ).
fof(f1820,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1819,f1775]) ).
fof(f1775,plain,
( sk_c5 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1768,f487]) ).
fof(f1768,plain,
( sk_c3 = inverse(sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f488,f1747]) ).
fof(f1819,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f1818,f643]) ).
fof(f1818,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_4
| spl0_8 ),
inference(subsumption_resolution,[],[f1663,f1740]) ).
fof(f1663,plain,
( identity = sk_c7
| sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f24,f533]) ).
fof(f1746,plain,
( spl0_8
| spl0_9
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1657,f196,f192,f1743,f1739]) ).
fof(f1657,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| identity = sk_c7
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f960,f647]) ).
fof(f960,plain,
( identity = sk_c7
| sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f38,f533]) ).
fof(f1616,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1614,f464]) ).
fof(f1614,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1606,f464]) ).
fof(f1606,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1600]) ).
fof(f1600,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_3 ),
inference(superposition,[],[f184,f411]) ).
fof(f184,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f1613,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1612,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1607,f464]) ).
fof(f1607,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1599]) ).
fof(f1599,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f184,f2]) ).
fof(f1611,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1610,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1608,f427]) ).
fof(f1608,plain,
( identity != inverse(identity)
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1598]) ).
fof(f1598,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f184,f1]) ).
fof(f1595,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1192,f674,f196,f192,f45,f41,f183,f183,f183,f183]) ).
fof(f1192,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1191,f838]) ).
fof(f838,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f834,f824]) ).
fof(f824,plain,
( sk_c6 = sk_c7
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f815,f796]) ).
fof(f796,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f194,f200,f202,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f539,f562,f548,f448,f579,f587,f580,f577,f540,f537,f506,f609,f470,f610,f465,f441,f430,f407,f366,f359,f354,f38,f37,f35,f32,f24,f23,f21,f18,f10,f9,f7,f4,f36,f31,f30,f28,f25,f22,f29,f198,f614,f615,f616,f617,f622,f619,f620,f621,f487,f623,f624,f632,f647,f533,f654,f427,f8,f566,f46,f5,f794,f19,f795,f788]) ).
fof(f788,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| sk_c7 = inverse(sk_c3)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f33,f647]) ).
fof(f795,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f539,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f38,f37,f35,f32,f24,f23,f21,f18,f10,f9,f7,f4,f36,f31,f30,f28,f25,f22,f29,f427,f8,f46,f5,f794,f19]) ).
fof(f794,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| spl0_2 ),
inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f539,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f38,f37,f35,f32,f24,f23,f21,f18,f10,f9,f7,f4,f36,f31,f30,f28,f25,f22,f29,f427,f8,f19,f46,f5]) ).
fof(f46,plain,
( sk_c7 != inverse(sk_c3)
| spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f566,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f448,f194]) ).
fof(f654,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f652,f1]) ).
fof(f652,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f533]) ).
fof(f632,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f627,f464]) ).
fof(f627,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f411,f487]) ).
fof(f624,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f68,f487]) ).
fof(f623,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f487]) ).
fof(f620,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f448,f198]) ).
fof(f622,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f618,f464]) ).
fof(f618,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f411,f198]) ).
fof(f617,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c2,X0)
| ~ spl0_5 ),
inference(superposition,[],[f361,f198]) ).
fof(f616,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_5 ),
inference(superposition,[],[f355,f198]) ).
fof(f615,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f68,f198]) ).
fof(f614,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f2,f198]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_4 ),
inference(superposition,[],[f68,f202]) ).
fof(f366,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f68,f200]) ).
fof(f407,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f355,f194]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_4 ),
inference(superposition,[],[f361,f194]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f201,f1]) ).
fof(f201,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f2,f194]) ).
fof(f834,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f830,f533]) ).
fof(f830,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f795,f829]) ).
fof(f829,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f827,f487]) ).
fof(f827,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f490,f824]) ).
fof(f1191,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X5,sk_c6)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1190,f824]) ).
fof(f1190,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1189,f838]) ).
fof(f1189,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1188,f876]) ).
fof(f876,plain,
( identity = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f847,f838]) ).
fof(f847,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f842,f447]) ).
fof(f842,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f676,f834]) ).
fof(f1188,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1187,f838]) ).
fof(f1187,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c6
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1186,f533]) ).
fof(f1186,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c5,sk_c6)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1185,f824]) ).
fof(f1185,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1184,f838]) ).
fof(f1184,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1183,f824]) ).
fof(f1183,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1182,f838]) ).
fof(f1182,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1181,f834]) ).
fof(f1181,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1180,f533]) ).
fof(f1180,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1179,f876]) ).
fof(f1179,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1178,f838]) ).
fof(f1178,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1177,f838]) ).
fof(f1177,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1176,f838]) ).
fof(f1176,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1175,f838]) ).
fof(f1175,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1174,f824]) ).
fof(f1174,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1173,f838]) ).
fof(f1173,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7) )
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1172,f824]) ).
fof(f793,plain,
( spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f26,f33,f5,f1,f2,f12,f3,f39,f34,f20,f17,f16,f14,f11,f6,f15,f13,f27,f68,f356,f355,f421,f411,f428,f439,f361,f450,f451,f453,f454,f447,f482,f469,f485,f464,f496,f497,f446,f539,f562,f548,f448,f579,f587,f580,f577,f540,f537,f609,f470,f610,f465,f430,f354,f38,f37,f35,f32,f24,f23,f21,f18,f10,f9,f7,f4,f36,f31,f30,f28,f25,f22,f29,f427,f8,f675,f771,f739,f19,f790,f791,f46]) ).
fof(f784,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(subsumption_resolution,[],[f782,f758]) ).
fof(f758,plain,
( identity != sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f749,f747]) ).
fof(f747,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f743,f427]) ).
fof(f743,plain,
( sk_c5 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f487,f740]) ).
fof(f782,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f776,f2]) ).
fof(f776,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f68,f773]) ).
fof(f773,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f772,f740]) ).
fof(f772,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f771,f747]) ).
fof(f781,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(subsumption_resolution,[],[f775,f758]) ).
fof(f775,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f1,f773]) ).
fof(f779,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(subsumption_resolution,[],[f774,f758]) ).
fof(f774,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f773,f1]) ).
fof(f681,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f678,f674]) ).
fof(f608,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f530,f196,f192,f183,f183,f183,f183]) ).
fof(f530,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f529,f1]) ).
fof(f529,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(identity,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f528,f218]) ).
fof(f218,plain,
( identity = sk_c6
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f216,f200]) ).
fof(f216,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| spl0_5 ),
inference(superposition,[],[f208,f215]) ).
fof(f215,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| spl0_5 ),
inference(subsumption_resolution,[],[f28,f197]) ).
fof(f197,plain,
( sk_c6 != inverse(sk_c2)
| spl0_5 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| spl0_5 ),
inference(forward_demodulation,[],[f207,f1]) ).
fof(f207,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_5 ),
inference(superposition,[],[f3,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c6,sk_c4)
| spl0_5 ),
inference(superposition,[],[f2,f205]) ).
fof(f205,plain,
( sk_c6 = inverse(sk_c4)
| spl0_5 ),
inference(subsumption_resolution,[],[f29,f197]) ).
fof(f528,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f527,f256]) ).
fof(f256,plain,
( identity = sk_c7
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f255,f1]) ).
fof(f255,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f254,f218]) ).
fof(f254,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f253,f225]) ).
fof(f225,plain,
( identity = sk_c5
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f219,f1]) ).
fof(f219,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f200,f218]) ).
fof(f253,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| spl0_5 ),
inference(subsumption_resolution,[],[f30,f197]) ).
fof(f527,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f526,f225]) ).
fof(f526,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f525,f218]) ).
fof(f525,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f524,f256]) ).
fof(f524,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f523,f218]) ).
fof(f523,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f522,f225]) ).
fof(f522,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f521,f218]) ).
fof(f521,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c6
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f520,f1]) ).
fof(f520,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(identity,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f519,f225]) ).
fof(f519,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c5,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f518,f256]) ).
fof(f518,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f517,f256]) ).
fof(f517,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f516,f218]) ).
fof(f516,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f515,f256]) ).
fof(f515,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f514,f225]) ).
fof(f514,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c5
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f513,f447]) ).
fof(f513,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c5,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f512,f218]) ).
fof(f512,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f511,f225]) ).
fof(f511,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f510,f218]) ).
fof(f510,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f509,f218]) ).
fof(f509,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f508,f218]) ).
fof(f508,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f507,f256]) ).
fof(f507,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f506,f256]) ).
fof(f199,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f196,f192]) ).
fof(f185,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f144,f41,f183,f183,f183,f183]) ).
fof(f144,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| spl0_1 ),
inference(subsumption_resolution,[],[f143,f1]) ).
fof(f143,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(identity,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| spl0_1 ),
inference(forward_demodulation,[],[f142,f89]) ).
fof(f89,plain,
( identity = sk_c6
| spl0_1 ),
inference(forward_demodulation,[],[f87,f51]) ).
fof(f51,plain,
( identity = multiply(sk_c6,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f42]) ).
fof(f42,plain,
( sk_c7 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f87,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| spl0_1 ),
inference(superposition,[],[f73,f55]) ).
fof(f55,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f14,f42]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f53]) ).
fof(f53,plain,
( identity = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f42]) ).
fof(f142,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| spl0_1 ),
inference(forward_demodulation,[],[f141,f100]) ).
fof(f100,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f98,plain,
( sk_c7 = multiply(identity,identity)
| spl0_1 ),
inference(superposition,[],[f78,f89]) ).
fof(f78,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| spl0_1 ),
inference(superposition,[],[f71,f56]) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f16,f42]) ).
fof(f71,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f65,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f141,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| spl0_1 ),
inference(forward_demodulation,[],[f140,f111]) ).
fof(f111,plain,
( identity = sk_c5
| spl0_1 ),
inference(superposition,[],[f91,f1]) ).
fof(f91,plain,
( identity = multiply(identity,sk_c5)
| spl0_1 ),
inference(superposition,[],[f51,f89]) ).
fof(f140,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f139,f89]) ).
fof(f139,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f138,f100]) ).
fof(f138,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f137,f89]) ).
fof(f137,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f136,f111]) ).
fof(f136,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f135,f100]) ).
fof(f135,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f134,f89]) ).
fof(f134,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f133,f111]) ).
fof(f133,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f132,f89]) ).
fof(f132,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f131,f89]) ).
fof(f131,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f130,f89]) ).
fof(f130,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f129,f100]) ).
fof(f129,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(forward_demodulation,[],[f76,f100]) ).
fof(f76,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(subsumption_resolution,[],[f75,f56]) ).
fof(f75,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(subsumption_resolution,[],[f74,f57]) ).
fof(f57,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f42]) ).
fof(f74,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5 )
| spl0_1 ),
inference(subsumption_resolution,[],[f39,f50]) ).
fof(f48,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f45,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 04:40:36 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (25347)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (25357)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.09/0.30 % (25353)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (25351)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (25354)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.09/0.30 % (25355)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.09/0.30 % (25352)WARNING: value z3 for option sas not known
% 0.09/0.31 % (25352)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 % (25350)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.31 TRYING [4]
% 0.13/0.31 TRYING [1]
% 0.13/0.32 TRYING [2]
% 0.13/0.32 TRYING [3]
% 0.13/0.32 TRYING [5]
% 0.13/0.33 TRYING [4]
% 0.13/0.34 TRYING [6]
% 0.13/0.35 % (25352)First to succeed.
% 0.13/0.36 % (25352)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (25352)------------------------------
% 0.13/0.36 % (25352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (25352)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (25352)Memory used [KB]: 1742
% 0.13/0.36 % (25352)Time elapsed: 0.054 s
% 0.13/0.36 % (25352)Instructions burned: 177 (million)
% 0.13/0.36 % (25352)------------------------------
% 0.13/0.36 % (25352)------------------------------
% 0.13/0.36 % (25347)Success in time 0.067 s
%------------------------------------------------------------------------------