%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP224-1 : 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 : n014.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 10:17:13 AM UTC 2026
% Result : Unsatisfiable 0.16s 5.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 49
% Syntax : Number of formulae : 287 ( 19 unt; 23 def)
% Number of atoms : 845 ( 297 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1068 ( 510 ~; 535 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 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,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f13]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f53]) ).
fof(f61,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c10 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f67]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f73]) ).
fof(f85,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c11 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f87]) ).
fof(f91,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f93]) ).
fof(f105,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inverse(X0) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| multiply(sk_c11,X1) != sk_c10
| multiply(X2,sk_c11) != X1
| inverse(X2) != sk_c11
| multiply(X3,X4) != sk_c11
| inverse(X3) != X4
| multiply(X4,sk_c10) != sk_c11
| inverse(X5) != sk_c11
| multiply(X5,sk_c10) != sk_c11
| multiply(X6,X7) != sk_c10
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c10
| inverse(X8) != sk_c10
| multiply(X8,sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != multiply(sk_c11,X1)
| multiply(X2,sk_c11) != X1
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10)
| sk_c10 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X8,X6,X7,X4,X5] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10)
| sk_c10 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) ),
inference(equality_resolution,[],[f106]) ).
fof(f108,plain,
! [X2,X3,X0,X8,X6,X7,X5] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10)
| sk_c10 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) ),
inference(equality_resolution,[],[f107]) ).
fof(f109,plain,
! [X2,X3,X0,X8,X6,X5] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10)
| sk_c10 != multiply(X6,inverse(X6))
| sk_c10 != multiply(inverse(X6),sk_c11)
| sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) ),
inference(equality_resolution,[],[f108]) ).
fof(f111,definition,
( spl0_1
<=> ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f112,plain,
( ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_2
<=> ! [X6] :
( sk_c10 != multiply(X6,inverse(X6))
| sk_c10 != multiply(inverse(X6),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f115,plain,
( ! [X6] :
( sk_c10 != multiply(inverse(X6),sk_c11)
| sk_c10 != multiply(X6,inverse(X6)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_3
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f118,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl0_4
<=> ! [X3] :
( sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f121,plain,
( ! [X3] :
( sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl0_5
<=> ! [X2] :
( sk_c10 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f124,plain,
( ! [X2] :
( sk_c10 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f109,f117,f123,f120,f117,f114,f111]) ).
fof(f127,definition,
( spl0_6
<=> sk_c10 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f129,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_7
<=> sk_c11 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f133,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f136,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f138,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f156,definition,
( spl0_12
<=> sk_c11 = multiply(sk_c6,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f158,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f94,f131,f156]) ).
fof(f161,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f163,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f92,f131,f161]) ).
fof(f171,definition,
( spl0_15
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f173,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f88,f131,f171]) ).
fof(f176,definition,
( spl0_16
<=> sk_c11 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f178,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f86,f131,f176]) ).
fof(f181,definition,
( spl0_17
<=> sk_c3 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f183,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f189,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f74,f181,f156]) ).
fof(f190,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f181,f161]) ).
fof(f192,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f68,f181,f171]) ).
fof(f193,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f66,f181,f176]) ).
fof(f195,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c11,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f197,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f195,f127]) ).
fof(f199,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f62,f195,f136]) ).
fof(f203,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f195,f156]) ).
fof(f204,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f52,f195,f161]) ).
fof(f206,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f48,f195,f171]) ).
fof(f207,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f46,f195,f176]) ).
fof(f209,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f211,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f209,f127]) ).
fof(f213,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f42,f209,f136]) ).
fof(f217,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f34,f209,f156]) ).
fof(f218,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f32,f209,f161]) ).
fof(f223,definition,
( spl0_20
<=> inverse(sk_c1) = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f225,plain,
( inverse(sk_c1) = sk_c11
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f24,f223,f127]) ).
fof(f227,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f22,f223,f136]) ).
fof(f231,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f14,f223,f156]) ).
fof(f232,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f12,f223,f161]) ).
fof(f237,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| sk_c10 != multiply(sk_c6,sk_c11)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f115,f163]) ).
fof(f241,definition,
( spl0_21
<=> sk_c10 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f242,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( sk_c10 != multiply(sk_c9,sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f251,definition,
( spl0_23
<=> sk_c10 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f253,plain,
( sk_c10 != multiply(sk_c6,sk_c11)
| spl0_23 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_24
<=> sk_c10 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f256,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f237,f161,f114,f255,f251]) ).
fof(f267,definition,
( spl0_26
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f268,plain,
( sk_c11 = sk_c10
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f278,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f115,f225]) ).
fof(f280,definition,
( spl0_28
<=> sk_c10 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f282,plain,
( sk_c10 != multiply(sk_c1,sk_c11)
| spl0_28 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl0_28
| ~ spl0_24
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f278,f223,f114,f255,f280]) ).
fof(f284,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f225]) ).
fof(f285,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f173]) ).
fof(f286,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f3,f163]) ).
fof(f289,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f133]) ).
fof(f301,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f303,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f284]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f178]) ).
fof(f312,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_20 ),
inference(forward_demodulation,[],[f303,f1]) ).
fof(f314,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f301,f1]) ).
fof(f316,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f285]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f286]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f324,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f289]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f326,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f312,f211]) ).
fof(f332,plain,
( spl0_24
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f326,f223,f209,f255]) ).
fof(f343,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f317,f178]) ).
fof(f372,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f307,f343]) ).
fof(f378,plain,
( multiply(sk_c4,sk_c5) = sk_c10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f372,f256]) ).
fof(f380,plain,
( sk_c11 = sk_c10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f378,f178]) ).
fof(f384,plain,
( spl0_26
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f380,f255,f176,f171,f267]) ).
fof(f387,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f211,f268]) ).
fof(f389,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_12
| ~ spl0_26 ),
inference(superposition,[],[f158,f268]) ).
fof(f393,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f243,f268]) ).
fof(f395,plain,
( sk_c11 != sk_c10
| ~ spl0_6
| spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f393,f129]) ).
fof(f396,plain,
( $false
| ~ spl0_6
| spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f395,f268]) ).
fof(f397,plain,
( ~ spl0_6
| spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f471,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_17 ),
inference(superposition,[],[f314,f183]) ).
fof(f476,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_12 ),
inference(superposition,[],[f314,f158]) ).
fof(f484,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f476,f163]) ).
fof(f486,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f471,f133]) ).
fof(f493,plain,
( sk_c11 = sk_c10
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f197,f486]) ).
fof(f508,plain,
( spl0_26
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f493,f195,f181,f131,f267]) ).
fof(f526,plain,
( sk_c11 != sk_c10
| ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(superposition,[],[f282,f387]) ).
fof(f531,plain,
( $false
| ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f526,f268]) ).
fof(f532,plain,
( ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f533,plain,
( ! [X8] :
( sk_c11 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) )
| ~ spl0_1
| ~ spl0_26 ),
inference(forward_demodulation,[],[f112,f268]) ).
fof(f534,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f242,f268]) ).
fof(f536,plain,
( ! [X8] :
( sk_c11 != multiply(X8,sk_c11)
| sk_c11 != inverse(X8) )
| ~ spl0_1
| ~ spl0_26 ),
inference(forward_demodulation,[],[f533,f268]) ).
fof(f543,plain,
( sk_c11 != sk_c11
| inverse(sk_c1) != sk_c11
| ~ spl0_1
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f536,f387]) ).
fof(f546,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_26 ),
inference(superposition,[],[f536,f534]) ).
fof(f552,plain,
( sk_c11 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f546]) ).
fof(f553,plain,
( inverse(sk_c1) != sk_c11
| ~ spl0_1
| ~ spl0_19
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f555,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f552,f138]) ).
fof(f558,plain,
( $false
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f553,f225]) ).
fof(f559,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f561,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f555,f268]) ).
fof(f562,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f563,plain,
( ! [X3] :
( sk_c11 != multiply(inverse(X3),sk_c11)
| sk_c11 != multiply(X3,inverse(X3)) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f121,f268]) ).
fof(f573,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f563,f225]) ).
fof(f574,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c6,sk_c11)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f563,f163]) ).
fof(f575,plain,
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f563,f138]) ).
fof(f579,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_demodulation,[],[f575,f268]) ).
fof(f581,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f573,f387]) ).
fof(f583,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f579,f256]) ).
fof(f585,plain,
( sk_c11 != sk_c10
| ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f581,f256]) ).
fof(f587,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f583,f268]) ).
fof(f588,plain,
( $false
| ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f585,f268]) ).
fof(f589,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f591,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f587,f268]) ).
fof(f592,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f591,f534]) ).
fof(f593,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f594,plain,
( ! [X2] :
( sk_c11 != multiply(sk_c11,multiply(X2,sk_c11))
| sk_c11 != inverse(X2) )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f124,f268]) ).
fof(f595,plain,
( sk_c11 != sk_c10
| ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f253,f389]) ).
fof(f596,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f319,f389]) ).
fof(f600,plain,
( $false
| ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f595,f268]) ).
fof(f601,plain,
( ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f613,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f594,f319]) ).
fof(f615,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(superposition,[],[f594,f325]) ).
fof(f616,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f615]) ).
fof(f617,plain,
( sk_c11 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f613]) ).
fof(f619,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f616,f133]) ).
fof(f620,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f622,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f617,f163]) ).
fof(f623,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f660,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f118,f268]) ).
fof(f661,plain,
( sk_c11 != sk_c11
| inverse(sk_c1) != sk_c11
| ~ spl0_3
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f660,f387]) ).
fof(f665,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_21
| ~ spl0_26 ),
inference(superposition,[],[f660,f534]) ).
fof(f671,plain,
( sk_c11 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_21
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f665]) ).
fof(f673,plain,
( inverse(sk_c1) != sk_c11
| ~ spl0_3
| ~ spl0_19
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f661]) ).
fof(f675,plain,
( sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f671,f138]) ).
fof(f678,plain,
( $false
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f673,f225]) ).
fof(f679,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f681,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f675,f268]) ).
fof(f682,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f685,definition,
( spl0_33
<=> sk_c11 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f689,definition,
( spl0_34
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f692,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f574,f267,f161,f120,f689,f685]) ).
fof(f702,plain,
( spl0_33
| ~ spl0_12
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f389,f267,f156,f685]) ).
fof(f703,plain,
( spl0_34
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f596,f267,f161,f156,f689]) ).
fof(f718,plain,
( spl0_24
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f484,f161,f156,f255]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f125]) ).
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,[],[f159]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f164]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f174]) ).
cnf(s12,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s19,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f190]) ).
cnf(s21,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f192]) ).
cnf(s22,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f193]) ).
cnf(s23,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f198]) ).
cnf(s24,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f199]) ).
cnf(s28,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f203]) ).
cnf(s29,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f204]) ).
cnf(s31,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s32,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f207]) ).
cnf(s33,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f212]) ).
cnf(s34,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f213]) ).
cnf(s38,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f217]) ).
cnf(s39,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f218]) ).
cnf(s43,plain,
( spl0_6
| spl0_20 ),
inference(sat_conversion,[],[f226]) ).
cnf(s44,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f227]) ).
cnf(s48,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f231]) ).
cnf(s49,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f232]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f258]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f283]) ).
cnf(s62,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f332]) ).
cnf(s64,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f384]) ).
cnf(s66,plain,
( ~ spl0_6
| spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f397]) ).
cnf(s71,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f508]) ).
cnf(s73,plain,
( ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f532]) ).
cnf(s74,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f559]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f562]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f589]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f593]) ).
cnf(s79,plain,
( ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f601]) ).
cnf(s80,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(sat_conversion,[],[f620]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(sat_conversion,[],[f623]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f679]) ).
cnf(s88,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f682]) ).
cnf(s89,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_26
| ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f692]) ).
cnf(s90,plain,
( ~ spl0_12
| ~ spl0_26
| spl0_33 ),
inference(sat_conversion,[],[f702]) ).
cnf(s91,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_26
| spl0_34 ),
inference(sat_conversion,[],[f703]) ).
cnf(s104,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_24 ),
inference(sat_conversion,[],[f718]) ).
cnf(s107,plain,
( spl0_18
| spl0_26 ),
inference(rat,[],[s104,s64,s28,s29,s31,s32]) ).
cnf(s108,plain,
( ~ spl0_18
| spl0_26
| ~ spl0_7 ),
inference(rat,[],[s104,s64,s18,s19,s21,s22,s71]) ).
cnf(s109,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s108,s107,s80]) ).
cnf(s110,plain,
~ spl0_5,
inference(rat,[],[s64,s104,s81,s8,s9,s11,s12,s109]) ).
cnf(s111,plain,
( spl0_18
| ~ spl0_4 ),
inference(rat,[],[s66,s78,s104,s107,s23,s24,s28,s29]) ).
cnf(s112,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s91,s89,s90]) ).
cnf(s113,plain,
( spl0_13
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s77,s62,s39,s49]) ).
cnf(s114,plain,
( ~ spl0_13
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s77,s62,s38,s48,s112]) ).
cnf(s115,plain,
( ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s114,s113]) ).
cnf(s116,plain,
( spl0_26
| ~ spl0_18 ),
inference(rat,[],[s104,s64,s8,s9,s11,s12,s108]) ).
cnf(s117,plain,
~ spl0_4,
inference(rat,[],[s116,s115,s111]) ).
cnf(s118,plain,
( spl0_19
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s66,s88,s33,s34]) ).
cnf(s119,plain,
( ~ spl0_19
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s66,s88,s43,s44,s87]) ).
cnf(s120,plain,
( ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s119,s118]) ).
cnf(s121,plain,
spl0_26,
inference(rat,[],[s116,s107]) ).
cnf(s122,plain,
~ spl0_3,
inference(rat,[],[s120,s121]) ).
cnf(s123,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s54,s104,s79,s121]) ).
cnf(s124,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s62,s38,s48,s121]) ).
cnf(s125,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s62,s39,s49,s123,s121]) ).
cnf(s126,plain,
~ spl0_2,
inference(rat,[],[s125,s124]) ).
cnf(s127,plain,
spl0_1,
inference(rat,[],[s2,s110,s117,s122,s126]) ).
cnf(s128,plain,
spl0_19,
inference(rat,[],[s66,s75,s33,s34,s121,s127]) ).
cnf(s130,plain,
~ spl0_20,
inference(rat,[],[s74,s121,s127,s128]) ).
cnf(s138,plain,
spl0_8,
inference(rat,[],[s44,s130]) ).
cnf(s139,plain,
spl0_6,
inference(rat,[],[s43,s130]) ).
cnf(s143,plain,
~ spl0_21,
inference(rat,[],[s75,s121,s127,s138]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s66,s121,s139,s143]) ).
fof(f719,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP224-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/5.40 % Computer : n014.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sun Sep 27 09:37:52 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.43 Running first-order model finding
% 0.15/5.43 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
% 0.16/5.50 % (552508)Will run a generic schedule for satisfiability detection.
% 0.16/5.50 % (552518)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=75702665:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/5.50 % (552514)% WARNING: option uhcvi not known.
% 0.16/5.50 % (552514)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3589278122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/5.50 % (552513)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3385405484_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/5.50 % (552515)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2643080567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/5.50 % (552516)dis+10_1_sil=32000:sp=arity:random_seed=3912526279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/5.50 % (552517)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3572485554:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/5.50 % (552519)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=880971406:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/5.50 % TRYING [1]
% 0.16/5.50 % TRYING [2]
% 0.16/5.50 % TRYING [3]
% 0.16/5.50 % TRYING [4]
% 0.16/5.50 % (552516) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-552508-552516"...
% 0.16/5.50 % (552514) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-552508-552514"...
% 0.16/5.50 % (552516)...printing done.
% 0.16/5.50 % (552516)Refutation found. Thanks to Tanya!
% 0.16/5.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/5.51 % (552516)------------------------------
% 0.16/5.51 % (552516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.51 % (552516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.51 % (552516)CaDiCaL version: 2.1.3
% 0.16/5.51 % (552516)Termination reason: Refutation
% 0.16/5.51 % (552516)Time elapsed: 0.016 s
% 0.16/5.51 % (552516)Peak memory usage: 12 MB
% 0.16/5.51 % (552516)Instructions burned: 26 (million)
% 0.16/5.51 % (552508)Success in time 0.064 s
% 0.16/5.51 % Vampire exiting
%------------------------------------------------------------------------------