%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP230-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:14 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 43
% Syntax : Number of formulae : 264 ( 21 unt; 21 def)
% Number of atoms : 745 ( 250 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 915 ( 434 ~; 460 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f11,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c7
| multiply(X2,X3) != sk_c8
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f54]) ).
fof(f56,plain,
! [X2,X0,X1,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f58,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c8 != multiply(X2,inverse(X2)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f56,f67,f64,f61,f58]) ).
fof(f71,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f73,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f77,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f75,f71]) ).
fof(f80,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f75,f80]) ).
fof(f85,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f75,f85]) ).
fof(f90,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f75,f90]) ).
fof(f95,definition,
( spl0_10
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f97,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f75,f95]) ).
fof(f100,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f102,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f42,f75,f100]) ).
fof(f105,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f71]) ).
fof(f109,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f80]) ).
fof(f110,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f85]) ).
fof(f111,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f105,f90]) ).
fof(f112,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f105,f95]) ).
fof(f113,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f100]) ).
fof(f115,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f71]) ).
fof(f119,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f80]) ).
fof(f120,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f85]) ).
fof(f125,definition,
( spl0_14
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f127,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f125,f71]) ).
fof(f129,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f125,f80]) ).
fof(f130,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f125,f85]) ).
fof(f135,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f62,f97]) ).
fof(f136,plain,
( sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f135,f92]) ).
fof(f141,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,definition,
( spl0_16
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f147,plain,
( sk_c8 != sk_c6
| spl0_16 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f136,f95,f90,f61,f100]) ).
fof(f150,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f62,f77]) ).
fof(f152,definition,
( spl0_17
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( ~ spl0_12
| ~ spl0_17
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f150,f75,f61,f152,f105]) ).
fof(f158,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f160,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| spl0_18 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f127]) ).
fof(f164,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f73]) ).
fof(f165,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f77]) ).
fof(f172,definition,
( spl0_20
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f173,plain,
( identity = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( identity != sk_c8
| spl0_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f178,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f117]) ).
fof(f184,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f178,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f162]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f164]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f188,f117]) ).
fof(f222,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f192,f82]) ).
fof(f231,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f222,f87]) ).
fof(f261,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f184,f107]) ).
fof(f266,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f261,f77]) ).
fof(f292,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f179,f266]) ).
fof(f293,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f184,f266]) ).
fof(f295,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f293,f3]) ).
fof(f296,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f292,f199]) ).
fof(f299,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f295,f105,f75,f172]) ).
fof(f300,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f296,f117]) ).
fof(f305,plain,
( identity != multiply(identity,sk_c7)
| spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f143,f173]) ).
fof(f306,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f162,f173]) ).
fof(f316,plain,
( identity = sk_c1
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f306,f1]) ).
fof(f317,plain,
( identity != sk_c7
| spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f305,f1]) ).
fof(f340,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f300,f173]) ).
fof(f341,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f340,f317]) ).
fof(f342,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f343,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f142,f173]) ).
fof(f344,plain,
( identity != multiply(sk_c1,identity)
| spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f160,f173]) ).
fof(f345,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f346,plain,
( identity != multiply(identity,identity)
| ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f344,f316]) ).
fof(f347,plain,
( $false
| ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f346,f1]) ).
fof(f348,plain,
( ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f349,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f59,f173]) ).
fof(f351,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f349,f1]) ).
fof(f353,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f351,f173]) ).
fof(f354,plain,
( identity != sk_c7
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f353,f1]) ).
fof(f362,definition,
( spl0_22
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f363,plain,
( identity = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f367,definition,
( spl0_23
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f370,plain,
( ~ spl0_23
| ~ spl0_22
| ~ spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f354,f172,f58,f362,f367]) ).
fof(f371,plain,
( spl0_22
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f345,f172,f141,f362]) ).
fof(f375,plain,
( sk_c8 != multiply(identity,identity)
| spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f154,f363]) ).
fof(f376,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f165,f363]) ).
fof(f387,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f376,f1]) ).
fof(f388,plain,
( identity != sk_c8
| spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f375,f1]) ).
fof(f396,plain,
( $false
| spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f388,f173]) ).
fof(f397,plain,
( spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f407,plain,
( sk_c7 = inverse(identity)
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f77,f387]) ).
fof(f408,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f407,f363]) ).
fof(f412,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f408,f362,f75,f367]) ).
fof(f415,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f68,f173]) ).
fof(f417,plain,
( ! [X0] :
( sk_c8 != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f415,f363]) ).
fof(f419,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f417,f173]) ).
fof(f422,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f419,f1]) ).
fof(f426,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f428,plain,
( ~ spl0_23
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f426,f362,f172,f67,f367]) ).
fof(f429,plain,
( ! [X1] :
( sk_c8 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f65,f363]) ).
fof(f430,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f429,f173]) ).
fof(f431,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f430,f363]) ).
fof(f433,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f431,f1]) ).
fof(f437,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f439,plain,
( ~ spl0_23
| ~ spl0_3
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f437,f362,f172,f64,f367]) ).
fof(f440,plain,
( identity = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f73,f173]) ).
fof(f468,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f3,f440]) ).
fof(f469,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f468,f1]) ).
fof(f471,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f440,f469]) ).
fof(f473,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f82,f469]) ).
fof(f474,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f473,f1]) ).
fof(f476,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f471,f172,f71,f367]) ).
fof(f477,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f474,f147]) ).
fof(f478,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f489,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f231,f173]) ).
fof(f498,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f489,f172,f85,f80,f71,f362]) ).
fof(f507,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f184,f102]) ).
fof(f509,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f507,f97]) ).
fof(f512,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f116,f231]) ).
fof(f515,plain,
( ~ spl0_18
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f512,f115,f85,f80,f71,f158]) ).
fof(f516,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f65,f231]) ).
fof(f517,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f516,f231]) ).
fof(f521,plain,
( sk_c8 != sk_c6
| sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f517,f82]) ).
fof(f526,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f521,f73]) ).
fof(f527,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f526,f85,f80,f71,f64,f145]) ).
fof(f554,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f509]) ).
fof(f556,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f554,f3]) ).
fof(f566,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f556,f174]) ).
fof(f567,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f566]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s20,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f155]) ).
cnf(s35,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f299]) ).
cnf(s36,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15
| ~ spl0_20 ),
inference(sat_conversion,[],[f342]) ).
cnf(s37,plain,
( ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f348]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f370]) ).
cnf(s40,plain,
( ~ spl0_15
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f371]) ).
cnf(s41,plain,
( spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f397]) ).
cnf(s43,plain,
( ~ spl0_6
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f412]) ).
cnf(s46,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f428]) ).
cnf(s48,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f439]) ).
cnf(s53,plain,
( ~ spl0_5
| ~ spl0_20
| spl0_23 ),
inference(sat_conversion,[],[f476]) ).
cnf(s54,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f478]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f498]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_13
| ~ spl0_18 ),
inference(sat_conversion,[],[f515]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f527]) ).
cnf(s68,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f567]) ).
cnf(s69,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s46,s43,s40,s36,s35,s2,s8,s14,s20]) ).
cnf(s70,plain,
( spl0_14
| spl0_22
| ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s57,s21,s22]) ).
cnf(s71,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s62,s15,s16,s36,s37,s70,s40,s46,s53,s35,s69]) ).
cnf(s72,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s46,s53,s57,s68,s9,s10,s12,s13,s69]) ).
cnf(s73,plain,
~ spl0_4,
inference(rat,[],[s46,s53,s57,s68,s3,s4,s6,s7,s71,s72,s69]) ).
cnf(s74,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s62,s15,s16,s36,s37,s70,s40,s48,s53,s35]) ).
cnf(s75,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s54,s64,s68,s9,s10,s12,s13]) ).
cnf(s76,plain,
( ~ spl0_12
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s54,s64,s68,s3,s4,s6,s7,s74]) ).
cnf(s77,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s76,s75]) ).
cnf(s78,plain,
~ spl0_3,
inference(rat,[],[s48,s43,s40,s36,s35,s2,s8,s14,s20,s77]) ).
cnf(s79,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s62,s15,s16,s37,s36,s70,s40,s41,s29,s35]) ).
cnf(s80,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s28,s5,s6,s7]) ).
cnf(s81,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s28,s11,s12,s13]) ).
cnf(s82,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_6 ),
inference(rat,[],[s40,s36,s41,s14,s20,s29,s35,s79]) ).
cnf(s83,plain,
~ spl0_2,
inference(rat,[],[s82,s81,s80]) ).
cnf(s84,plain,
spl0_1,
inference(rat,[],[s1,s73,s78,s83]) ).
cnf(s85,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s62,s15,s16,s37,s36,s70,s40,s39,s53,s35,s84]) ).
cnf(s86,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_5
| ~ spl0_8 ),
inference(rat,[],[s39,s53,s57,s84]) ).
cnf(s87,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s86,s68,s3,s4,s6,s7]) ).
cnf(s88,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s86,s68,s9,s10,s12,s13,s85]) ).
cnf(s89,plain,
~ spl0_5,
inference(rat,[],[s88,s87]) ).
cnf(s90,plain,
spl0_14,
inference(rat,[],[s20,s89]) ).
cnf(s91,plain,
spl0_13,
inference(rat,[],[s14,s89]) ).
cnf(s92,plain,
spl0_12,
inference(rat,[],[s8,s89]) ).
cnf(s93,plain,
spl0_6,
inference(rat,[],[s2,s89]) ).
cnf(s94,plain,
spl0_20,
inference(rat,[],[s35,s93,s92]) ).
cnf(s96,plain,
spl0_15,
inference(rat,[],[s36,s92,s90,s91,s93,s94]) ).
cnf(s97,plain,
spl0_22,
inference(rat,[],[s40,s94,s96]) ).
cnf(s98,plain,
spl0_23,
inference(rat,[],[s43,s93,s97]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s39,s94,s84,s98,s97]) ).
fof(f568,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP230-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:43:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % (2377566)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2377575)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1749382564_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (2377576)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (2377581)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1425005008:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (2377579)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=150928522:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (2377578)dis+10_1_sil=32000:sp=arity:random_seed=1183371080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (2377576)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2486651579:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (2377577)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=585263747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % TRYING [5]
% 0.18/0.48 % (2377580)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2030136001:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (2377578) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2377566-2377578"...
% 0.18/0.48 % (2377579) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2377566-2377579"...
% 0.18/0.48 % (2377578)...printing done.
% 0.18/0.48 % (2377578)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (2377578)------------------------------
% 0.18/0.49 % (2377578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (2377578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (2377578)CaDiCaL version: 2.1.3
% 0.18/0.49 % (2377578)Termination reason: Refutation
% 0.18/0.49 % (2377578)Time elapsed: 0.013 s
% 0.18/0.49 % (2377578)Peak memory usage: 12 MB
% 0.18/0.49 % (2377578)Instructions burned: 20 (million)
% 0.18/0.49 % (2377566)Success in time 0.055 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------