%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP349-1 : 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 : n011.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 10:17:33 AM UTC 2026
% Result : Unsatisfiable 0.05s 0.44s
% Output : Refutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 43
% Syntax : Number of formulae : 276 ( 22 unt; 16 def)
% Number of atoms : 854 ( 291 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1085 ( 507 ~; 562 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 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(f11,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f25,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f47,negated_conjecture,
( inverse(sk_c10) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c10)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c10) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = inverse(sk_c10)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f57,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f73,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f105,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f109]) ).
fof(f121,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f122,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f126,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f125]) ).
fof(f133,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c8
| multiply(X0,X1) != sk_c9
| inverse(X0) != X1
| multiply(X1,sk_c8) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X4) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,X6) != sk_c9
| inverse(X5) != X6
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f134,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| multiply(X0,X1) != sk_c9
| inverse(X0) != X1
| sk_c9 != multiply(X1,sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f133]) ).
fof(f135,plain,
! [X2,X3,X0,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| sk_c9 != multiply(inverse(X0),sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f134]) ).
fof(f136,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| sk_c9 != multiply(inverse(X0),sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ),
inference(equality_resolution,[],[f135]) ).
fof(f138,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(f139,plain,
( ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f142,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f145,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_4
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f149,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,definition,
( spl0_5
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f152,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c8 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( sk_c8 != inverse(sk_c10)
| spl0_6 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,definition,
( spl0_7
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f159,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_8
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f164,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| spl0_8 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f136,f162,f158,f154,f138,f151,f148,f144,f141,f138]) ).
fof(f171,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f176,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f178,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f181,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f183,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f186,definition,
( spl0_13
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f188,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f126,f171,f186]) ).
fof(f191,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f193,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f124,f171,f191]) ).
fof(f195,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f122,f171,f144]) ).
fof(f207,definition,
( spl0_17
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f209,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f213,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f110,f207,f186]) ).
fof(f214,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f108,f207,f191]) ).
fof(f215,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f106,f207,f144]) ).
fof(f231,definition,
( spl0_19
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f233,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f237,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f78,f231,f186]) ).
fof(f238,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f76,f231,f191]) ).
fof(f239,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f74,f231,f144]) ).
fof(f243,definition,
( spl0_20
<=> sk_c9 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f245,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f249,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f62,f243,f186]) ).
fof(f250,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f60,f243,f191]) ).
fof(f251,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f58,f243,f144]) ).
fof(f255,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f154,f176]) ).
fof(f256,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f154,f181]) ).
fof(f263,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f34,f158,f176]) ).
fof(f264,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f158,f181]) ).
fof(f265,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f158,f186]) ).
fof(f266,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f28,f158,f191]) ).
fof(f267,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f158,f144]) ).
fof(f271,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f162,f176]) ).
fof(f272,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f162,f181]) ).
fof(f273,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f162,f186]) ).
fof(f274,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f162,f191]) ).
fof(f278,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f3,f178]) ).
fof(f279,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_14 ),
inference(superposition,[],[f3,f193]) ).
fof(f282,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f188]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f183]) ).
fof(f290,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f282,f1]) ).
fof(f292,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f278]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f1]) ).
fof(f294,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f279]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f301,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f293,f183]) ).
fof(f316,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f295,f188]) ).
fof(f327,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f288,f301]) ).
fof(f333,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f327,f183]) ).
fof(f342,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f290,f3]) ).
fof(f351,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f290,f290]) ).
fof(f354,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f290,f333]) ).
fof(f356,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f290,f316]) ).
fof(f357,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f290,f145]) ).
fof(f367,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f354,f3]) ).
fof(f374,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f342,f351]) ).
fof(f376,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f374,f367]) ).
fof(f377,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1,f367]) ).
fof(f382,plain,
( sk_c10 = sk_c5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f188,f376]) ).
fof(f406,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f193,f382]) ).
fof(f408,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f357,f376]) ).
fof(f416,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f408,f156]) ).
fof(f417,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f419,plain,
( sk_c10 = sk_c8
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f155,f406]) ).
fof(f420,plain,
( sk_c10 != sk_c8
| spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f164,f377]) ).
fof(f423,plain,
( $false
| ~ spl0_6
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f420,f419]) ).
fof(f424,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( sk_c10 != sk_c8
| spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f160,f377]) ).
fof(f427,plain,
( $false
| ~ spl0_6
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f425,f419]) ).
fof(f428,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f444,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f3,f233]) ).
fof(f471,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f149,f316]) ).
fof(f474,plain,
( identity != sk_c9
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_4 ),
inference(superposition,[],[f149,f3]) ).
fof(f477,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f649,plain,
( identity = multiply(sk_c8,sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f3,f155]) ).
fof(f653,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f290,f145]) ).
fof(f655,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f653,f356]) ).
fof(f658,plain,
( multiply(sk_c10,sk_c8) = multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f284,f159]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f159]) ).
fof(f663,plain,
( sk_c9 = multiply(sk_c5,sk_c10)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f658,f145]) ).
fof(f675,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f290,f173]) ).
fof(f686,plain,
( sk_c10 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f152,f188]) ).
fof(f687,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f152,f173]) ).
fof(f691,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f695,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f691,f209]) ).
fof(f696,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f697,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f686,f655]) ).
fof(f701,plain,
( sk_c10 != sk_c8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f697,f193]) ).
fof(f720,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f701,f655]) ).
fof(f721,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f722,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_19 ),
inference(superposition,[],[f290,f444]) ).
fof(f725,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f722,f374]) ).
fof(f726,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f142,f188]) ).
fof(f727,plain,
( sk_c10 != sk_c8
| sk_c10 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f142,f173]) ).
fof(f731,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f726]) ).
fof(f735,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f731,f193]) ).
fof(f736,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f743,plain,
( sk_c10 != inverse(sk_c8)
| identity != sk_c9
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f474,f155]) ).
fof(f744,plain,
( sk_c10 != sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f477,f155]) ).
fof(f748,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f744,f655]) ).
fof(f749,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f752,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c10)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f139,f655]) ).
fof(f754,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_19 ),
inference(superposition,[],[f3,f725]) ).
fof(f755,plain,
( identity = sk_c9
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f754,f245]) ).
fof(f756,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1,f755]) ).
fof(f759,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f752,f193]) ).
fof(f782,plain,
( sk_c9 != multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f759,f316]) ).
fof(f796,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f782,f663]) ).
fof(f797,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f807,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,X0)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f660,f756]) ).
fof(f811,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f675,f209]) ).
fof(f815,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f811,f807]) ).
fof(f817,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f815,f146]) ).
fof(f818,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f821,plain,
( sk_c10 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f743,f755]) ).
fof(f824,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f290,f145]) ).
fof(f825,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f145]) ).
fof(f826,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f825,f807]) ).
fof(f827,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f824,f155]) ).
fof(f828,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f826,f756]) ).
fof(f829,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f827,f807]) ).
fof(f831,plain,
( sk_c10 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f290,f649]) ).
fof(f834,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f831,f374]) ).
fof(f836,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f834,f821]) ).
fof(f837,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f840,plain,
( sk_c10 != sk_c8
| sk_c10 != sk_c8
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f727,f209]) ).
fof(f841,plain,
( sk_c10 != sk_c8
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f840]) ).
fof(f878,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f649,f807]) ).
fof(f881,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f878,f755]) ).
fof(f1078,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f828,f881]) ).
fof(f1114,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1078,f829]) ).
fof(f1129,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1114,f841]) ).
fof(f1130,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1148,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f139,f3]) ).
fof(f1149,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1148,f755]) ).
fof(f1161,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1149,f807]) ).
fof(f1174,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1161,f834]) ).
fof(f1187,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1174,f881]) ).
fof(f1188,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f165]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s1]) ).
cnf(s6,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f189]) ).
cnf(s7,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f194]) ).
cnf(s8,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f195]) ).
cnf(s14,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s15,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f214]) ).
cnf(s16,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f215]) ).
cnf(s30,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f237]) ).
cnf(s31,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f238]) ).
cnf(s32,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f239]) ).
cnf(s38,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f249]) ).
cnf(s39,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f250]) ).
cnf(s40,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f251]) ).
cnf(s44,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f255]) ).
cnf(s45,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f256]) ).
cnf(s52,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f263]) ).
cnf(s53,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f264]) ).
cnf(s54,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f265]) ).
cnf(s55,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f266]) ).
cnf(s56,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f267]) ).
cnf(s60,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f271]) ).
cnf(s61,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f272]) ).
cnf(s62,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f273]) ).
cnf(s63,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f274]) ).
cnf(s68,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f417]) ).
cnf(s69,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f424]) ).
cnf(s70,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f428]) ).
cnf(s99,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f696]) ).
cnf(s102,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f721]) ).
cnf(s105,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f736]) ).
cnf(s109,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f749]) ).
cnf(s113,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f797]) ).
cnf(s117,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f818]) ).
cnf(s118,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f837]) ).
cnf(s127,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s136,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s141,plain,
spl0_3,
inference(rat,[],[s117,s8,s16,s32,s40,s56]) ).
cnf(s142,plain,
( spl0_8
| ~ spl0_6 ),
inference(rat,[],[s69,s60,s61,s62,s63]) ).
cnf(s143,plain,
( ~ spl0_8
| ~ spl0_6
| spl0_1
| spl0_4
| spl0_2
| spl0_5 ),
inference(rat,[],[s70,s52,s53,s54,s55,s2,s141]) ).
cnf(s144,plain,
( ~ spl0_6
| spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s143,s142]) ).
cnf(s145,plain,
spl0_6,
inference(rat,[],[s68,s44,s45,s141]) ).
cnf(s147,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s99,s7,s15]) ).
cnf(s148,plain,
( ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s99,s6,s14,s102,s141]) ).
cnf(s149,plain,
~ spl0_5,
inference(rat,[],[s148,s147]) ).
cnf(s150,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s118,s31,s39,s145]) ).
cnf(s151,plain,
( ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s118,s30,s38,s109,s141,s145]) ).
cnf(s152,plain,
~ spl0_4,
inference(rat,[],[s151,s150]) ).
cnf(s153,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s127,s7,s15,s31,s39,s55,s141,s145]) ).
cnf(s154,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s127,s6,s14,s30,s38,s54,s105,s145,s141]) ).
cnf(s155,plain,
~ spl0_2,
inference(rat,[],[s154,s153]) ).
cnf(s156,plain,
spl0_1,
inference(rat,[],[s144,s152,s149,s145,s155]) ).
cnf(s157,plain,
spl0_14,
inference(rat,[],[s136,s31,s39,s55,s156,s145]) ).
cnf(s158,plain,
~ spl0_13,
inference(rat,[],[s70,s52,s53,s113,s145,s157,s156,s141]) ).
cnf(s159,plain,
spl0_7,
inference(rat,[],[s54,s158]) ).
cnf(s160,plain,
spl0_20,
inference(rat,[],[s38,s158]) ).
cnf(s161,plain,
spl0_19,
inference(rat,[],[s30,s158]) ).
cnf(s165,plain,
$false,
inference(rat,[],[s136,s160,s145,s156,s161,s159]) ).
fof(f1197,plain,
$false,
inference(avatar_sat_refutation,[],[s165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP349-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.35 % Computer : n011.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8046.5625MB
% 0.12/0.35 % OS : Linux 6.8.0-71-generic
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Sep 27 09:55:15 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.39 Running first-order model finding
% 0.05/0.39 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
% 0.05/0.44 % (2162295)Will run a generic schedule for satisfiability detection.
% 0.05/0.44 % (2162304)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=47699626:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.05/0.44 % (2162301)% WARNING: option uhcvi not known.
% 0.05/0.44 % (2162301)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=88811101:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.05/0.44 % (2162300)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=461887562_2999 on theBenchmark for (2999ds/0Mi)
% 0.05/0.44 % (2162305)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2158940346:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.05/0.44 % (2162302)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3053774105:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.05/0.44 % (2162303)dis+10_1_sil=32000:sp=arity:random_seed=1606476296:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.05/0.44 % (2162306)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3042651101:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.05/0.44 % (2162304) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2162295-2162304"...
% 0.05/0.44 % TRYING [1]
% 0.05/0.44 % (2162304)...printing done.
% 0.05/0.44 % TRYING [2]
% 0.05/0.44 % TRYING [3]
% 0.05/0.44 % (2162304)Refutation found. Thanks to Tanya!
% 0.05/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.05/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.05/0.45 % (2162304)------------------------------
% 0.05/0.45 % (2162304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.45 % (2162304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.45 % (2162304)CaDiCaL version: 2.1.3
% 0.05/0.45 % (2162304)Termination reason: Refutation
% 0.05/0.45 % (2162304)Time elapsed: 0.012 s
% 0.05/0.45 % (2162304)Peak memory usage: 12 MB
% 0.05/0.45 % (2162304)Instructions burned: 34 (million)
% 0.05/0.45 % (2162295)Success in time 0.046 s
% 0.05/0.45 % Vampire exiting
%------------------------------------------------------------------------------