%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP245-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 10:17:16 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 49
% Syntax : Number of formulae : 304 ( 20 unt; 21 def)
% Number of atoms : 868 ( 290 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1060 ( 496 ~; 543 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f75,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f89,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,X6) != sk_c9
| inverse(X5) != X6
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ),
inference(equality_resolution,[],[f90]) ).
fof(f93,definition,
( spl0_1
<=> ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f97,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c9 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_3
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f100,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_4
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f103,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,definition,
( spl0_5
<=> ! [X0] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f106,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f91,f105,f102,f99,f99,f96,f93]) ).
fof(f109,definition,
( spl0_6
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f111,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl0_7
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f115,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f118,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f120,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f123,definition,
( spl0_9
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f125,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f128,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f130,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f133,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f135,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f138,definition,
( spl0_12
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f140,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f78,f113,f138]) ).
fof(f143,definition,
( spl0_13
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f145,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f76,f113,f143]) ).
fof(f148,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f150,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f156,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f148,f138]) ).
fof(f157,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f148,f143]) ).
fof(f159,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f161,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f60,f159,f109]) ).
fof(f163,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f58,f159,f118]) ).
fof(f164,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f56,f159,f123]) ).
fof(f165,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f54,f159,f128]) ).
fof(f166,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f52,f159,f133]) ).
fof(f170,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f172,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f176,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f170,f128]) ).
fof(f177,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f38,f170,f133]) ).
fof(f181,definition,
( spl0_17
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f183,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f185,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f30,f181,f118]) ).
fof(f186,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f181,f123]) ).
fof(f187,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f181,f128]) ).
fof(f188,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f181,f133]) ).
fof(f189,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f181,f138]) ).
fof(f190,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f20,f181,f143]) ).
fof(f192,definition,
( spl0_18
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f194,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f192,f109]) ).
fof(f196,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f16,f192,f118]) ).
fof(f197,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f14,f192,f123]) ).
fof(f198,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f12,f192,f128]) ).
fof(f199,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f10,f192,f133]) ).
fof(f200,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f192,f138]) ).
fof(f201,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f192,f143]) ).
fof(f202,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f97,f130]) ).
fof(f205,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f202]) ).
fof(f206,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f205,f135]) ).
fof(f207,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f208,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f97,f1]) ).
fof(f210,definition,
( spl0_19
<=> sk_c9 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f212,plain,
( sk_c9 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f215,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( sk_c9 != sk_c8
| spl0_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f208,f96,f214,f210]) ).
fof(f218,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_17 ),
inference(superposition,[],[f3,f183]) ).
fof(f219,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f3,f145]) ).
fof(f221,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f3,f120]) ).
fof(f222,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_15 ),
inference(superposition,[],[f3,f161]) ).
fof(f230,definition,
( spl0_22
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f231,plain,
( identity = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( identity != sk_c9
| spl0_22 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f236,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f140]) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f236,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f218]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f249,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f219]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f249,f1]) ).
fof(f266,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f248,f194]) ).
fof(f292,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f250,f140]) ).
fof(f355,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f244,f3]) ).
fof(f356,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f244,f244]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_13 ),
inference(superposition,[],[f244,f250]) ).
fof(f362,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f244,f292]) ).
fof(f363,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f244,f266]) ).
fof(f372,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c9)
| ~ spl0_9 ),
inference(superposition,[],[f244,f125]) ).
fof(f377,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f244,f172]) ).
fof(f388,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f377,f161]) ).
fof(f390,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f372,f120]) ).
fof(f397,plain,
( identity = sk_c9
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f363,f3]) ).
fof(f400,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f355,f356]) ).
fof(f405,plain,
( $false
| ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f397,f232]) ).
fof(f406,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f407,plain,
( sk_c9 != inverse(sk_c9)
| spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f212,f231]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_22 ),
inference(superposition,[],[f1,f231]) ).
fof(f422,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f244,f388]) ).
fof(f425,plain,
( identity = sk_c8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f422,f3]) ).
fof(f429,plain,
( sk_c9 = sk_c8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f425,f231]) ).
fof(f430,plain,
( spl0_20
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f429,f230,f170,f159,f214]) ).
fof(f432,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f111,f215]) ).
fof(f445,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f244,f390]) ).
fof(f447,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f445,f3]) ).
fof(f455,plain,
( identity = sk_c2
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f222,f408]) ).
fof(f463,plain,
( sk_c9 = sk_c2
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f455,f231]) ).
fof(f469,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(superposition,[],[f390,f432]) ).
fof(f477,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f161,f463]) ).
fof(f478,plain,
( $false
| ~ spl0_15
| spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f477,f407]) ).
fof(f479,plain,
( ~ spl0_15
| spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f483,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f103,f215]) ).
fof(f485,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(identity)
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f483,f1]) ).
fof(f490,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f483,f408]) ).
fof(f500,plain,
( sk_c9 != inverse(identity)
| ~ spl0_4
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f522,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f500,f231]) ).
fof(f531,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f522,f477]) ).
fof(f532,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f537,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c9)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f94,f215]) ).
fof(f540,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(superposition,[],[f221,f469]) ).
fof(f546,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f540,f408]) ).
fof(f547,plain,
( sk_c9 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f546,f231]) ).
fof(f550,plain,
( sk_c9 != multiply(sk_c7,sk_c9)
| sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f537,f120]) ).
fof(f553,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f537,f3]) ).
fof(f565,plain,
( sk_c9 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_1
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f553,f231]) ).
fof(f568,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f550,f432]) ).
fof(f577,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f565,f408]) ).
fof(f580,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f568,f125]) ).
fof(f581,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f589,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f577,f477]) ).
fof(f590,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f601,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f120,f547]) ).
fof(f611,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f106,f194]) ).
fof(f612,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f106,f292]) ).
fof(f615,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f611]) ).
fof(f618,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f615,f183]) ).
fof(f619,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f635,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f100,f140]) ).
fof(f640,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f100,f115]) ).
fof(f641,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f640]) ).
fof(f642,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f644,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f641,f150]) ).
fof(f645,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f650,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f642,f145]) ).
fof(f651,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f680,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f490]) ).
fof(f701,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f601,f469]) ).
fof(f715,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f701,f680]) ).
fof(f716,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f718,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f244,f135]) ).
fof(f719,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f3,f135]) ).
fof(f720,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f719,f408]) ).
fof(f721,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f718,f408]) ).
fof(f722,plain,
( sk_c9 = sk_c5
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f720,f231]) ).
fof(f729,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f244,f130]) ).
fof(f730,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f130]) ).
fof(f731,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f730,f721]) ).
fof(f732,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f729,f135]) ).
fof(f734,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f731,f408]) ).
fof(f735,plain,
( sk_c9 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f732,f408]) ).
fof(f738,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f735,f216]) ).
fof(f739,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f740,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f447,f232]) ).
fof(f741,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f744,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f612]) ).
fof(f753,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f734,f215]) ).
fof(f816,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c4,identity)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f238,f719]) ).
fof(f821,plain,
( sk_c4 = multiply(sk_c10,sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f816,f400]) ).
fof(f825,plain,
( sk_c4 = multiply(sk_c10,sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f821,f722]) ).
fof(f857,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,X0)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f238,f753]) ).
fof(f960,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c4)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f244,f825]) ).
fof(f963,plain,
( sk_c9 = multiply(sk_c4,sk_c4)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f960,f360]) ).
fof(f964,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f963,f857]) ).
fof(f1022,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f244,f964]) ).
fof(f1025,plain,
( sk_c10 = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1022,f362]) ).
fof(f1044,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f145,f1025]) ).
fof(f1050,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1044,f744]) ).
fof(f1051,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f107]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s15,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f156]) ).
cnf(s16,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f157]) ).
cnf(s17,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s18,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s19,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f164]) ).
cnf(s20,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f165]) ).
cnf(s21,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f166]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s28,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s32,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f185]) ).
cnf(s33,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f186]) ).
cnf(s34,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f187]) ).
cnf(s35,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f188]) ).
cnf(s36,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s37,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s38,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s39,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f196]) ).
cnf(s40,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f197]) ).
cnf(s41,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f198]) ).
cnf(s42,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f199]) ).
cnf(s43,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f200]) ).
cnf(s44,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f201]) ).
cnf(s45,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f207]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f217]) ).
cnf(s51,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f406]) ).
cnf(s52,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f430]) ).
cnf(s54,plain,
( ~ spl0_15
| spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f479]) ).
cnf(s62,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f532]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20 ),
inference(sat_conversion,[],[f581]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f590]) ).
cnf(s76,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f619]) ).
cnf(s79,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f645]) ).
cnf(s80,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f651]) ).
cnf(s97,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f716]) ).
cnf(s99,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f739]) ).
cnf(s100,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_22 ),
inference(sat_conversion,[],[f741]) ).
cnf(s107,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s109,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s107,s99,s100,s39,s40,s41,s42,s43,s44]) ).
cnf(s110,plain,
( ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s107,s99,s100,s32,s33,s34,s35,s36,s37,s76]) ).
cnf(s111,plain,
~ spl0_5,
inference(rat,[],[s110,s109]) ).
cnf(s112,plain,
( spl0_18
| ~ spl0_4 ),
inference(rat,[],[s99,s97,s100,s38,s39,s40,s41,s42]) ).
cnf(s114,plain,
( spl0_11
| spl0_20
| ~ spl0_22 ),
inference(rat,[],[s52,s21,s28]) ).
cnf(s115,plain,
( ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(rat,[],[s52,s20,s27,s99]) ).
cnf(s116,plain,
( spl0_20
| ~ spl0_22 ),
inference(rat,[],[s115,s114]) ).
cnf(s117,plain,
( ~ spl0_20
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s97,s18,s19,s17,s62]) ).
cnf(s118,plain,
( ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s117,s116]) ).
cnf(s119,plain,
( spl0_22
| ~ spl0_18 ),
inference(rat,[],[s100,s32,s33,s51]) ).
cnf(s120,plain,
~ spl0_4,
inference(rat,[],[s119,s118,s112]) ).
cnf(s122,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s79,s9,s16]) ).
cnf(s123,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s79,s8,s15,s80]) ).
cnf(s124,plain,
~ spl0_3,
inference(rat,[],[s123,s122]) ).
cnf(s125,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s45,s20,s21]) ).
cnf(s126,plain,
( ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s46,s54,s116,s125]) ).
cnf(s127,plain,
~ spl0_2,
inference(rat,[],[s45,s41,s42,s119,s126]) ).
cnf(s128,plain,
spl0_1,
inference(rat,[],[s2,s111,s120,s124,s127]) ).
cnf(s129,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(rat,[],[s66,s17,s18,s19,s69,s128]) ).
cnf(s130,plain,
~ spl0_22,
inference(rat,[],[s129,s116]) ).
cnf(s131,plain,
~ spl0_18,
inference(rat,[],[s119,s130]) ).
cnf(s136,plain,
spl0_9,
inference(rat,[],[s40,s131]) ).
cnf(s137,plain,
spl0_8,
inference(rat,[],[s39,s131]) ).
cnf(s139,plain,
$false,
inference(rat,[],[s100,s130,s136,s137]) ).
fof(f1052,plain,
$false,
inference(avatar_sat_refutation,[],[s139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP245-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 09:39:05 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.48 % (2840902)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2840911)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1394614448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2840908)% WARNING: option uhcvi not known.
% 0.16/0.48 % (2840907)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1030287637_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (2840908)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=669587552:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2840909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3420177790:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2840910)dis+10_1_sil=32000:sp=arity:random_seed=1168349840:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (2840913)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1475566764:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (2840912)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4088076781:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (2840911) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2840902-2840911"...
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % (2840911)...printing done.
% 0.16/0.48 % (2840911)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (2840911)------------------------------
% 0.16/0.49 % (2840911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2840911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2840911)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2840911)Termination reason: Refutation
% 0.16/0.49 % (2840911)Time elapsed: 0.012 s
% 0.16/0.49 % (2840911)Peak memory usage: 12 MB
% 0.16/0.49 % (2840911)Instructions burned: 33 (million)
% 0.16/0.49 % (2840902)Success in time 0.039 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------