%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP341-1 : 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 : n002.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 10:17:32 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 45
% Syntax : Number of formulae : 270 ( 22 unt; 20 def)
% Number of atoms : 830 ( 246 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1041 ( 481 ~; 540 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 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(f5,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f9]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c5) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| inverse(X3) != sk_c6
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c6 != inverse(sk_c5)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f75]) ).
fof(f78,definition,
( spl0_1
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_3
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( sk_c6 != inverse(sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_5
<=> ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_6
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c5)
| sk_c6 != inverse(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_7
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_8
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f103,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f76,f102,f99,f96,f93,f89,f86,f82,f78]) ).
fof(f107,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f107,f78]) ).
fof(f111,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f107,f82]) ).
fof(f122,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f107,f89]) ).
fof(f124,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f129,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f134,definition,
( spl0_14
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f136,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f134,f78]) ).
fof(f138,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f134,f82]) ).
fof(f141,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f134,f89]) ).
fof(f145,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f147,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f46,f145,f78]) ).
fof(f149,plain,
( spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f44,f145,f82]) ).
fof(f152,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f145,f89]) ).
fof(f153,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f145,f124]) ).
fof(f154,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f145,f129]) ).
fof(f156,definition,
( spl0_16
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f158,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl0_1
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f156,f78]) ).
fof(f160,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f30,f156,f82]) ).
fof(f163,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f156,f89]) ).
fof(f164,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f156,f124]) ).
fof(f165,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f156,f129]) ).
fof(f166,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f102,f78]) ).
fof(f167,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f102,f82]) ).
fof(f170,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f102,f89]) ).
fof(f171,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f8,f102,f124]) ).
fof(f172,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f102,f129]) ).
fof(f173,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f3,f136]) ).
fof(f174,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f158]) ).
fof(f177,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f103]) ).
fof(f179,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f173]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f147]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f183,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f192,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f182,f109]) ).
fof(f195,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f180,f103]) ).
fof(f196,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f180,f173]) ).
fof(f224,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_16 ),
inference(superposition,[],[f183,f174]) ).
fof(f226,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f183,f147]) ).
fof(f235,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f226,f158]) ).
fof(f236,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f178,f235]) ).
fof(f239,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f236,f192]) ).
fof(f246,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f183,f239]) ).
fof(f248,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f246,f3]) ).
fof(f257,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f224,f248]) ).
fof(f258,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f235,f248]) ).
fof(f260,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f258,f1]) ).
fof(f261,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f257,f3]) ).
fof(f295,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f195,f235]) ).
fof(f296,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f295,f260]) ).
fof(f313,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f296,f261]) ).
fof(f314,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f313,f1]) ).
fof(f315,plain,
( sk_c7 != multiply(identity,sk_c6)
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f80,f314]) ).
fof(f326,plain,
( sk_c6 != sk_c7
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f330,plain,
( identity != sk_c6
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f326,f248]) ).
fof(f333,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f330,f260]) ).
fof(f334,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f336,plain,
( sk_c6 != inverse(identity)
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f91,f314]) ).
fof(f338,plain,
( identity != inverse(identity)
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f336,f260]) ).
fof(f340,plain,
( multiply(sk_c7,sk_c2) = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f196,f261]) ).
fof(f341,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f340,f1]) ).
fof(f342,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f341,f248]) ).
fof(f343,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f342,f1]) ).
fof(f348,plain,
( sk_c6 = inverse(identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f136,f343]) ).
fof(f349,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f348,f260]) ).
fof(f354,plain,
( $false
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f349,f338]) ).
fof(f355,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f359,plain,
( sk_c6 != sk_c5
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f84,f239]) ).
fof(f361,plain,
( identity != sk_c6
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f359,f314]) ).
fof(f363,plain,
( $false
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f361,f260]) ).
fof(f364,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f472,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f3,f90]) ).
fof(f476,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f126]) ).
fof(f477,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f183,f79]) ).
fof(f479,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f477,f90]) ).
fof(f498,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f94,f83]) ).
fof(f501,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f505,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f501,f90]) ).
fof(f511,definition,
( spl0_18
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f512,plain,
( sk_c6 = sk_c5
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( sk_c6 != sk_c5
| spl0_18 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f520,definition,
( spl0_20
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f521,plain,
( identity = sk_c6
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f529,definition,
( spl0_22
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f531,plain,
( sk_c6 != sk_c7
| spl0_22 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,plain,
( ~ spl0_22
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f505,f93,f89,f82,f529]) ).
fof(f538,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f87,f1]) ).
fof(f554,definition,
( spl0_24
<=> identity = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f555,plain,
( identity = sk_c5
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f559,definition,
( spl0_25
<=> sk_c6 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f561,plain,
( sk_c6 != inverse(identity)
| spl0_25 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( ~ spl0_25
| ~ spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f538,f86,f511,f559]) ).
fof(f575,plain,
( identity != sk_c6
| sk_c6 != inverse(inverse(sk_c5))
| ~ spl0_6 ),
inference(superposition,[],[f97,f3]) ).
fof(f579,definition,
( spl0_27
<=> sk_c6 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f584,plain,
( sk_c6 != inverse(sk_c6)
| identity != sk_c6
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f575,f90]) ).
fof(f586,plain,
( ~ spl0_20
| ~ spl0_27
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f584,f96,f89,f579,f520]) ).
fof(f608,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f103,f479]) ).
fof(f611,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f183,f479]) ).
fof(f613,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f611,f3]) ).
fof(f620,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f608,f102,f89,f78,f511]) ).
fof(f623,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f90,f512]) ).
fof(f632,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f623,f511,f89,f579]) ).
fof(f640,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f235,f613]) ).
fof(f641,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f476,f613]) ).
fof(f643,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_4
| spl0_22 ),
inference(superposition,[],[f531,f613]) ).
fof(f644,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f645,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f640,f1]) ).
fof(f654,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f100,f613]) ).
fof(f655,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_4
| spl0_22 ),
inference(avatar_split_clause,[],[f643,f529,f89,f78,f520]) ).
fof(f656,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f645,f156,f145,f89,f78,f520]) ).
fof(f657,plain,
( ! [X0] :
( identity != multiply(X0,sk_c6)
| identity != inverse(X0) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f654,f613]) ).
fof(f663,plain,
( identity != sk_c7
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f657,f79]) ).
fof(f665,plain,
( identity != sk_c7
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f657,f147]) ).
fof(f667,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f665,f613]) ).
fof(f669,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f663,f613]) ).
fof(f675,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f667,f158]) ).
fof(f678,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f669,f90]) ).
fof(f679,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f675,f613]) ).
fof(f680,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f682,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f678,f99,f89,f78,f520]) ).
fof(f700,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f131,f644]) ).
fof(f703,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f706,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f703,f613]) ).
fof(f709,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f104,f479]) ).
fof(f711,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f706,f129,f124,f89,f78,f520]) ).
fof(f712,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f709,f102,f89,f78,f511]) ).
fof(f720,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f472,f521]) ).
fof(f728,plain,
( identity = sk_c5
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f720,f1]) ).
fof(f736,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f728,f520,f89,f554]) ).
fof(f742,plain,
( sk_c6 = inverse(identity)
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f90,f555]) ).
fof(f746,plain,
( identity != sk_c6
| spl0_18
| ~ spl0_24 ),
inference(superposition,[],[f513,f555]) ).
fof(f747,plain,
( $false
| spl0_18
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f746,f521]) ).
fof(f748,plain,
( spl0_18
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f752,plain,
( $false
| ~ spl0_4
| ~ spl0_24
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f742,f561]) ).
fof(f753,plain,
( ~ spl0_4
| ~ spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f752]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f110]) ).
cnf(s3,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f111]) ).
cnf(s6,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f122]) ).
cnf(s9,plain,
( spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s10,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s13,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s16,plain,
( spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s17,plain,
( spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s20,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s21,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s22,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s23,plain,
( spl0_1
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s24,plain,
( spl0_2
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s27,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f163]) ).
cnf(s28,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s29,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s30,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f167]) ).
cnf(s34,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s35,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f171]) ).
cnf(s36,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f172]) ).
cnf(s37,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f334]) ).
cnf(s38,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f355]) ).
cnf(s39,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f364]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f533]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_25 ),
inference(sat_conversion,[],[f562]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20
| ~ spl0_27 ),
inference(sat_conversion,[],[f586]) ).
cnf(s73,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f620]) ).
cnf(s75,plain,
( ~ spl0_4
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f632]) ).
cnf(s77,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f655]) ).
cnf(s78,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f656]) ).
cnf(s81,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f680]) ).
cnf(s83,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f682]) ).
cnf(s89,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f711]) ).
cnf(s90,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f712]) ).
cnf(s92,plain,
( ~ spl0_4
| ~ spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f736]) ).
cnf(s93,plain,
( spl0_18
| ~ spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f748]) ).
cnf(s94,plain,
( ~ spl0_4
| ~ spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f753]) ).
cnf(s95,plain,
spl0_1,
inference(rat,[],[s37,s2,s9,s16,s23,s30]) ).
cnf(s96,plain,
spl0_2,
inference(rat,[],[s39,s3,s10,s17,s24,s31]) ).
cnf(s97,plain,
spl0_4,
inference(rat,[],[s38,s6,s13,s20,s27,s34]) ).
cnf(s98,plain,
( ~ spl0_20
| spl0_18 ),
inference(rat,[],[s92,s93,s97]) ).
cnf(s99,plain,
spl0_8,
inference(rat,[],[s98,s89,s90,s35,s36,s95,s97]) ).
cnf(s100,plain,
spl0_18,
inference(rat,[],[s73,s97,s95,s99]) ).
cnf(s101,plain,
spl0_27,
inference(rat,[],[s75,s97,s100]) ).
cnf(s102,plain,
( spl0_13
| ~ spl0_7 ),
inference(rat,[],[s81,s22,s29,s95,s97]) ).
cnf(s103,plain,
~ spl0_7,
inference(rat,[],[s81,s21,s28,s89,s102,s83,s95,s97]) ).
cnf(s104,plain,
( spl0_13
| spl0_20 ),
inference(rat,[],[s78,s22,s29,s95,s97]) ).
cnf(s105,plain,
( ~ spl0_13
| spl0_20 ),
inference(rat,[],[s78,s21,s28,s89,s97,s95]) ).
cnf(s106,plain,
spl0_20,
inference(rat,[],[s105,s104]) ).
cnf(s107,plain,
spl0_24,
inference(rat,[],[s92,s97,s106]) ).
cnf(s108,plain,
spl0_22,
inference(rat,[],[s77,s97,s95,s106]) ).
cnf(s109,plain,
~ spl0_6,
inference(rat,[],[s69,s101,s97,s106]) ).
cnf(s110,plain,
spl0_25,
inference(rat,[],[s94,s97,s107]) ).
cnf(s111,plain,
~ spl0_5,
inference(rat,[],[s60,s97,s96,s108]) ).
cnf(s112,plain,
spl0_3,
inference(rat,[],[s1,s97,s96,s99,s103,s109,s95,s111]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s63,s110,s112,s100]) ).
fof(f759,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP341-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:57:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.47 % (3304027)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3304035)dis+10_1_sil=32000:sp=arity:random_seed=4035107138:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3304033)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3304036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2081222886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3304032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1021110009_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3304033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3295075976:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3304034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2368993449:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3304035) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3304027-3304035"...
% 0.16/0.47 % (3304035)...printing done.
% 0.16/0.47 % (3304035)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3304035)------------------------------
% 0.16/0.47 % (3304035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3304035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3304035)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3304035)Termination reason: Refutation
% 0.16/0.47 % (3304035)Time elapsed: 0.009 s
% 0.16/0.47 % (3304035)Peak memory usage: 12 MB
% 0.16/0.47 % (3304035)Instructions burned: 23 (million)
% 0.16/0.47 % (3304027)Success in time 0.05 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------