%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP224-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 10:13:22 AM UTC 2026
% Result : Unsatisfiable 1.43s 1.21s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 50
% Syntax : Number of formulae : 288 ( 17 unt; 24 def)
% Number of atoms : 828 ( 293 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1020 ( 480 ~; 516 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f11,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f245,definition,
( spl0_22
<=> sk_c10 = multiply(sk_c10,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f246,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( sk_c10 != multiply(sk_c10,sk_c11)
| spl0_22 ),
inference(avatar_component_clause,[],[f245]) ).
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(f288,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl0_8 ),
inference(superposition,[],[f3,f138]) ).
fof(f289,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f133]) ).
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(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(f322,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f288]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f322,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(f365,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f319,f158]) ).
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(f386,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl0_22
| ~ spl0_26 ),
inference(superposition,[],[f247,f268]) ).
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(f390,plain,
( sk_c11 != sk_c10
| spl0_22
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f386,f256]) ).
fof(f391,plain,
( $false
| spl0_22
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f390,f268]) ).
fof(f392,plain,
( spl0_22
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f393,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f243,f268]) ).
fof(f394,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f246,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(f417,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f323,f129]) ).
fof(f439,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f325,f183]) ).
fof(f462,plain,
( sk_c11 = sk_c10
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f197,f439]) ).
fof(f477,plain,
( spl0_26
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f462,f195,f181,f131,f267]) ).
fof(f497,plain,
( sk_c11 != sk_c10
| ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(superposition,[],[f282,f387]) ).
fof(f500,plain,
( $false
| ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f497,f268]) ).
fof(f501,plain,
( ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f502,plain,
( ! [X8] :
( sk_c11 != inverse(X8)
| sk_c10 != multiply(X8,sk_c11) )
| ~ spl0_1
| ~ spl0_26 ),
inference(forward_demodulation,[],[f112,f268]) ).
fof(f503,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f242,f268]) ).
fof(f505,plain,
( ! [X8] :
( sk_c11 != inverse(X8)
| sk_c11 != multiply(X8,sk_c11) )
| ~ spl0_1
| ~ spl0_26 ),
inference(forward_demodulation,[],[f502,f268]) ).
fof(f509,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f505,f225]) ).
fof(f511,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f505,f138]) ).
fof(f515,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_20
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f509]) ).
fof(f517,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f511,f268]) ).
fof(f518,plain,
( $false
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f515,f387]) ).
fof(f519,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f520,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f517,f503]) ).
fof(f521,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f522,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(f531,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f522,f225]) ).
fof(f532,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c6,sk_c11)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f522,f163]) ).
fof(f548,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f531,f394]) ).
fof(f551,plain,
( $false
| ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f548,f387]) ).
fof(f552,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f556,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f118,f268]) ).
fof(f557,plain,
( sk_c11 != sk_c10
| ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f253,f389]) ).
fof(f558,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f319,f389]) ).
fof(f560,plain,
( $false
| ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f557,f268]) ).
fof(f561,plain,
( ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f563,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f556,f225]) ).
fof(f565,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f556,f138]) ).
fof(f569,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_20
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f563]) ).
fof(f571,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f565,f268]) ).
fof(f572,plain,
( $false
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f569,f387]) ).
fof(f573,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f571,f503]) ).
fof(f575,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(sk_c11,multiply(X2,sk_c11)) )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f124,f268]) ).
fof(f578,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,multiply(sk_c6,sk_c11))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(superposition,[],[f576,f163]) ).
fof(f580,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,multiply(sk_c2,sk_c11))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(superposition,[],[f576,f133]) ).
fof(f581,plain,
( sk_c11 != multiply(sk_c11,multiply(sk_c2,sk_c11))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f582,plain,
( sk_c11 != multiply(sk_c11,multiply(sk_c6,sk_c11))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f578]) ).
fof(f584,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f581,f325]) ).
fof(f585,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f587,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f582,f319]) ).
fof(f588,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f596,definition,
( spl0_33
<=> sk_c11 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f600,definition,
( spl0_34
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f603,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_4
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f532,f267,f161,f120,f600,f596]) ).
fof(f609,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_demodulation,[],[f417,f268]) ).
fof(f612,plain,
( spl0_34
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f558,f267,f161,f156,f600]) ).
fof(f614,plain,
( spl0_33
| ~ spl0_12
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f389,f267,f156,f596]) ).
fof(f627,plain,
( spl0_34
| ~ spl0_6
| ~ spl0_8
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f609,f267,f136,f127,f600]) ).
fof(f631,plain,
( spl0_24
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f365,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(s65,plain,
( spl0_22
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f392]) ).
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,[],[f477]) ).
cnf(s73,plain,
( ~ spl0_19
| ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f501]) ).
cnf(s74,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f519]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f521]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f552]) ).
cnf(s80,plain,
( ~ spl0_12
| spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f561]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f573]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f575]) ).
cnf(s83,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_26 ),
inference(sat_conversion,[],[f585]) ).
cnf(s84,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_26 ),
inference(sat_conversion,[],[f588]) ).
cnf(s87,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_26
| ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f603]) ).
cnf(s89,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_26
| spl0_34 ),
inference(sat_conversion,[],[f612]) ).
cnf(s90,plain,
( ~ spl0_12
| ~ spl0_26
| spl0_33 ),
inference(sat_conversion,[],[f614]) ).
cnf(s95,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_26
| spl0_34 ),
inference(sat_conversion,[],[f627]) ).
cnf(s102,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_24 ),
inference(sat_conversion,[],[f631]) ).
cnf(s104,plain,
( spl0_18
| spl0_26 ),
inference(rat,[],[s102,s64,s28,s29,s31,s32]) ).
cnf(s105,plain,
( ~ spl0_18
| spl0_26
| ~ spl0_7 ),
inference(rat,[],[s102,s64,s18,s19,s21,s22,s71]) ).
cnf(s106,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s105,s104,s83]) ).
cnf(s107,plain,
~ spl0_5,
inference(rat,[],[s64,s102,s84,s8,s9,s11,s12,s106]) ).
cnf(s108,plain,
( spl0_18
| ~ spl0_4 ),
inference(rat,[],[s87,s95,s90,s104,s23,s24,s28,s29]) ).
cnf(s109,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s89,s87,s90]) ).
cnf(s110,plain,
( spl0_13
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s65,s78,s62,s39,s49]) ).
cnf(s111,plain,
( ~ spl0_13
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s65,s78,s62,s38,s48,s109]) ).
cnf(s112,plain,
( ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s111,s110]) ).
cnf(s113,plain,
( spl0_26
| ~ spl0_18 ),
inference(rat,[],[s102,s64,s8,s9,s11,s12,s105]) ).
cnf(s114,plain,
~ spl0_4,
inference(rat,[],[s113,s112,s108]) ).
cnf(s115,plain,
( spl0_19
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s66,s82,s33,s34]) ).
cnf(s116,plain,
( ~ spl0_19
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s66,s82,s43,s44,s81]) ).
cnf(s117,plain,
( ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s116,s115]) ).
cnf(s118,plain,
spl0_26,
inference(rat,[],[s113,s104]) ).
cnf(s119,plain,
~ spl0_3,
inference(rat,[],[s117,s118]) ).
cnf(s120,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s54,s102,s80,s118]) ).
cnf(s121,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s62,s38,s48,s118]) ).
cnf(s122,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s62,s39,s49,s120,s118]) ).
cnf(s123,plain,
~ spl0_2,
inference(rat,[],[s122,s121]) ).
cnf(s124,plain,
spl0_1,
inference(rat,[],[s2,s107,s114,s119,s123]) ).
cnf(s125,plain,
spl0_19,
inference(rat,[],[s66,s75,s33,s34,s118,s124]) ).
cnf(s127,plain,
~ spl0_20,
inference(rat,[],[s74,s118,s124,s125]) ).
cnf(s135,plain,
spl0_8,
inference(rat,[],[s44,s127]) ).
cnf(s136,plain,
spl0_6,
inference(rat,[],[s43,s127]) ).
cnf(s140,plain,
~ spl0_21,
inference(rat,[],[s75,s118,s124,s135]) ).
cnf(s141,plain,
$false,
inference(rat,[],[s66,s118,s136,s140]) ).
fof(f632,plain,
$false,
inference(avatar_sat_refutation,[],[s141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP224-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 09:38:40 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.43/1.21 % (981977)Input is clausal, will run a generic CNF schedule.
% 1.43/1.21 % (982064)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=25118373:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.43/1.21 % (982064)First to succeed.
% 1.43/1.21 % (982064)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-981977"
% 1.43/1.21 % (982063)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3541419180:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.43/1.21 % (982060)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=302183948:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.43/1.21 % (982061)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4158807366:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.43/1.21 % (982062)lrs+10_1_sil=8000:sp=occurrence:random_seed=1758486797:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.43/1.21 % (982059)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1270784640:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.43/1.21 % (982065)dis-21_1_sil=8000:lcm=predicate:random_seed=1720273123:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.43/1.21 % (982065)Refutation not found, incomplete strategy
% 1.43/1.21 % (982065)------------------------------
% 1.43/1.21 % (982065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.21 % (982065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.21 % (982065)CaDiCaL version: 2.1.3
% 1.43/1.21 % (982065)Termination reason: Refutation not found, incomplete strategy
% 1.43/1.21 % (982065)Time elapsed: 0.003 s
% 1.43/1.21 % (982065)Peak memory usage: 88 MB
% 1.43/1.21 % (982065)Instructions burned: 3 (million)
% 1.43/1.21 % (982062)Instruction limit reached!
% 1.43/1.21 % (982062)------------------------------
% 1.43/1.21 % (982062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.21 % (982062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.21 % (982062)CaDiCaL version: 2.1.3
% 1.43/1.21 % (982062)Termination reason: Instruction limit
% 1.43/1.21 % (982062)Termination phase: Saturation
% 1.43/1.21 % (982062)Time elapsed: 0.053 s
% 1.43/1.21 % (982062)Peak memory usage: 89 MB
% 1.43/1.21 % (982062)Instructions burned: 109 (million)
% 1.43/1.21 % (982063)Instruction limit reached!
% 1.43/1.21 % (982063)------------------------------
% 1.43/1.21 % (982063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.21 % (982063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.21 % (982063)CaDiCaL version: 2.1.3
% 1.43/1.21 % (982063)Termination reason: Instruction limit
% 1.43/1.21 % (982063)Termination phase: Saturation
% 1.43/1.21 % (982063)Time elapsed: 0.065 s
% 1.43/1.21 % (982063)Peak memory usage: 89 MB
% 1.43/1.21 % (982063)Instructions burned: 115 (million)
% 1.43/1.21 % (982064)Refutation found. Thanks to Tanya!
% 1.43/1.21 % SZS status Unsatisfiable for theBenchmark
% 1.43/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.32 % (982064)------------------------------
% 2.90/1.32 % (982064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.32 % (982064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.32 % (982064)CaDiCaL version: 2.1.3
% 2.90/1.32 % (982064)Termination reason: Refutation
% 2.90/1.32 % (982064)Time elapsed: 0.014 s
% 2.90/1.32 % (982064)Peak memory usage: 89 MB
% 2.90/1.32 % (982064)Instructions burned: 24 (million)
% 2.90/1.32 % (982064)------------------------------
% 2.90/1.32 % (982064)------------------------------
% 2.90/1.32 % (981977)Success in time 0.331 s
% 2.90/1.32 % Vampire exiting
%------------------------------------------------------------------------------