%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP243-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:16 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of formulae : 286 ( 17 unt; 21 def)
% Number of atoms : 824 ( 291 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1015 ( 477 ~; 517 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = inverse(sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c9,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f21]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f39]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c9,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f75,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f77]) ).
fof(f131,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| multiply(X2,sk_c11) != sk_c12
| multiply(X3,X4) != sk_c11
| inverse(X3) != X4
| multiply(X4,sk_c10) != sk_c11
| inverse(X5) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| inverse(X6) != sk_c11
| multiply(X6,sk_c10) != sk_c11
| multiply(X7,X8) != sk_c11
| inverse(X7) != X8
| multiply(X8,sk_c10) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f132,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != inverse(X2)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c11 != multiply(X4,sk_c10)
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c10) ),
inference(reorient_equations,[],[f131]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != inverse(X2)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c10) ),
inference(equality_resolution,[],[f132]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X6,X7,X5] :
( sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != inverse(X2)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ),
inference(equality_resolution,[],[f133]) ).
fof(f136,definition,
( spl0_1
<=> ! [X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f137,plain,
( ! [X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,definition,
( spl0_2
<=> ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f140,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c10)
| sk_c11 != inverse(X6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,definition,
( spl0_3
<=> ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f143,plain,
( ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,definition,
( spl0_4
<=> ! [X1] :
( sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f146,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,definition,
( spl0_5
<=> ! [X0] :
( sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0] :
( sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f134,f148,f145,f142,f136,f142,f139,f136]) ).
fof(f152,definition,
( spl0_6
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f154,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f161,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f163,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f166,definition,
( spl0_9
<=> sk_c11 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f168,plain,
( sk_c11 = multiply(sk_c8,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f171,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f173,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f176,definition,
( spl0_11
<=> sk_c11 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f178,plain,
( sk_c11 = inverse(sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f181,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f183,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f186,definition,
( spl0_13
<=> sk_c12 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f188,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f213,definition,
( spl0_16
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f215,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f221,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f78,f213,f181]) ).
fof(f222,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f76,f213,f186]) ).
fof(f224,definition,
( spl0_17
<=> sk_c12 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f226,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f232,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f64,f224,f181]) ).
fof(f233,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f62,f224,f186]) ).
fof(f235,definition,
( spl0_18
<=> sk_c11 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f237,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f235,f152]) ).
fof(f239,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f58,f235,f161]) ).
fof(f240,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f56,f235,f166]) ).
fof(f241,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f235,f171]) ).
fof(f242,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f52,f235,f176]) ).
fof(f246,definition,
( spl0_19
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f248,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f252,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f246,f171]) ).
fof(f253,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f38,f246,f176]) ).
fof(f257,definition,
( spl0_20
<=> sk_c12 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f259,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f30,f257,f161]) ).
fof(f262,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f257,f166]) ).
fof(f265,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f22,f257,f181]) ).
fof(f266,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f20,f257,f186]) ).
fof(f268,definition,
( spl0_21
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f270,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f18,f268,f152]) ).
fof(f272,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f268,f161]) ).
fof(f273,plain,
( spl0_9
| spl0_21 ),
inference(avatar_split_clause,[],[f14,f268,f166]) ).
fof(f274,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f12,f268,f171]) ).
fof(f275,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f10,f268,f176]) ).
fof(f276,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f268,f181]) ).
fof(f277,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f6,f268,f186]) ).
fof(f278,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f140,f173]) ).
fof(f281,plain,
( sk_c11 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f282,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f281,f178]) ).
fof(f283,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f286,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f140,f1]) ).
fof(f288,definition,
( spl0_22
<=> sk_c11 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f289,plain,
( sk_c11 = inverse(identity)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( sk_c11 != inverse(identity)
| spl0_22 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl0_23
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f293,plain,
( sk_c11 = sk_c10
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( sk_c11 != sk_c10
| spl0_23 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f286,f139,f292,f288]) ).
fof(f296,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f259]) ).
fof(f297,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f3,f188]) ).
fof(f298,plain,
( identity = multiply(sk_c11,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f3,f178]) ).
fof(f299,plain,
( identity = multiply(sk_c9,sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f3,f163]) ).
fof(f300,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f237]) ).
fof(f309,definition,
( spl0_25
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f310,plain,
( identity = sk_c11
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( identity != sk_c11
| spl0_25 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f315,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f325,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f315,f1]) ).
fof(f328,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c1,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f296]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_20 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f330,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c6,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f297]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c6,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f334,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f299]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f342,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f329,f270]) ).
fof(f370,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f331,f183]) ).
fof(f409,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f335,f168]) ).
fof(f477,plain,
( sk_c12 = multiply(inverse(sk_c12),sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f325,f370]) ).
fof(f478,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f325,f342]) ).
fof(f479,plain,
( sk_c6 = multiply(inverse(sk_c12),identity)
| ~ spl0_13 ),
inference(superposition,[],[f325,f297]) ).
fof(f492,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f325,f409]) ).
fof(f495,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c10)
| ~ spl0_19 ),
inference(superposition,[],[f325,f248]) ).
fof(f513,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f495,f237]) ).
fof(f514,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f492,f3]) ).
fof(f522,plain,
( identity = sk_c11
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f478,f3]) ).
fof(f528,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f514,f311]) ).
fof(f529,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f534,plain,
( $false
| ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f522,f311]) ).
fof(f535,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f536,plain,
( sk_c11 != inverse(sk_c11)
| spl0_22
| ~ spl0_25 ),
inference(superposition,[],[f290,f310]) ).
fof(f537,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_25 ),
inference(superposition,[],[f1,f310]) ).
fof(f554,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f325,f513]) ).
fof(f557,plain,
( identity = sk_c10
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f554,f3]) ).
fof(f561,plain,
( sk_c11 = sk_c10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f557,f310]) ).
fof(f562,plain,
( spl0_23
| ~ spl0_18
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f561,f309,f246,f235,f292]) ).
fof(f564,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f154,f293]) ).
fof(f583,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_25 ),
inference(superposition,[],[f298,f537]) ).
fof(f585,plain,
( identity = sk_c2
| ~ spl0_18
| ~ spl0_25 ),
inference(superposition,[],[f300,f537]) ).
fof(f593,plain,
( sk_c11 = sk_c2
| ~ spl0_18
| ~ spl0_25 ),
inference(forward_demodulation,[],[f585,f310]) ).
fof(f594,plain,
( sk_c11 = sk_c7
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_demodulation,[],[f583,f310]) ).
fof(f600,plain,
( sk_c11 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f409,f564]) ).
fof(f609,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_18
| ~ spl0_25 ),
inference(superposition,[],[f237,f593]) ).
fof(f610,plain,
( $false
| ~ spl0_18
| spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f609,f536]) ).
fof(f611,plain,
( ~ spl0_18
| spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f615,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_demodulation,[],[f289,f310]) ).
fof(f619,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f149,f270]) ).
fof(f620,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c12)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f149,f370]) ).
fof(f623,plain,
( sk_c12 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f619]) ).
fof(f626,plain,
( $false
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f623,f259]) ).
fof(f627,plain,
( ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f630,plain,
( ! [X1] :
( sk_c11 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1) )
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f146,f293]) ).
fof(f633,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f299,f600]) ).
fof(f641,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f633,f537]) ).
fof(f642,plain,
( sk_c11 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f641,f310]) ).
fof(f643,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(identity)
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f630,f1]) ).
fof(f645,plain,
( identity != sk_c11
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f630,f3]) ).
fof(f659,plain,
( sk_c11 != inverse(identity)
| ~ spl0_4
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f643]) ).
fof(f690,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f659,f310]) ).
fof(f699,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f690,f609]) ).
fof(f700,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f709,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| ~ spl0_25 ),
inference(superposition,[],[f163,f642]) ).
fof(f723,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f143,f183]) ).
fof(f728,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f143,f215]) ).
fof(f730,plain,
( sk_c12 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f728]) ).
fof(f731,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f723]) ).
fof(f742,plain,
( $false
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f730,f226]) ).
fof(f743,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f748,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f731,f188]) ).
fof(f749,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f776,plain,
( ! [X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f137,f293]) ).
fof(f784,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_23 ),
inference(superposition,[],[f776,f163]) ).
fof(f788,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| ~ spl0_1
| ~ spl0_23 ),
inference(superposition,[],[f776,f3]) ).
fof(f807,plain,
( sk_c11 != multiply(sk_c11,inverse(sk_c11))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f788,f310]) ).
fof(f811,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f784,f564]) ).
fof(f824,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f807,f537]) ).
fof(f829,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f811,f168]) ).
fof(f830,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f838,plain,
( $false
| ~ spl0_1
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f824,f609]) ).
fof(f839,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f873,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f709,f600]) ).
fof(f880,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_demodulation,[],[f173,f594]) ).
fof(f882,plain,
( sk_c11 = sk_c10
| ~ spl0_10
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_demodulation,[],[f880,f537]) ).
fof(f883,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f882,f294]) ).
fof(f884,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f891,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f645,f310]) ).
fof(f925,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f891,f615]) ).
fof(f933,plain,
( $false
| ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f925,f615]) ).
fof(f934,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f936,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f873,f536]) ).
fof(f937,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f939,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f1093,plain,
( sk_c6 = multiply(inverse(sk_c12),sk_c11)
| ~ spl0_13
| ~ spl0_25 ),
inference(superposition,[],[f479,f310]) ).
fof(f1098,plain,
( sk_c12 = sk_c6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1093,f477]) ).
fof(f1105,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(superposition,[],[f188,f1098]) ).
fof(f1106,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1105,f939]) ).
fof(f1107,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
cnf(s1,plain,
( spl0_1
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f150]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s29,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f221]) ).
cnf(s30,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f222]) ).
cnf(s36,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f232]) ).
cnf(s37,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f233]) ).
cnf(s38,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f238]) ).
cnf(s39,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f239]) ).
cnf(s40,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f240]) ).
cnf(s41,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f241]) ).
cnf(s42,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f242]) ).
cnf(s48,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f252]) ).
cnf(s49,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f253]) ).
cnf(s53,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f261]) ).
cnf(s54,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f262]) ).
cnf(s57,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f265]) ).
cnf(s58,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f266]) ).
cnf(s59,plain,
( spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f271]) ).
cnf(s60,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f272]) ).
cnf(s61,plain,
( spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f273]) ).
cnf(s62,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f274]) ).
cnf(s63,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f275]) ).
cnf(s64,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f276]) ).
cnf(s65,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f277]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f283]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f295]) ).
cnf(s70,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(sat_conversion,[],[f529]) ).
cnf(s73,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(sat_conversion,[],[f535]) ).
cnf(s74,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f562]) ).
cnf(s75,plain,
( ~ spl0_18
| spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f611]) ).
cnf(s76,plain,
( ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f627]) ).
cnf(s85,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f700]) ).
cnf(s89,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f743]) ).
cnf(s90,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f749]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f830]) ).
cnf(s108,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f839]) ).
cnf(s122,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f884]) ).
cnf(s138,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f934]) ).
cnf(s139,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_22
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f937]) ).
cnf(s142,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s144,plain,
( spl0_21
| ~ spl0_5 ),
inference(rat,[],[s70,s142,s60,s61,s64,s65]) ).
cnf(s145,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(rat,[],[s70,s142,s53,s54,s57,s58,s76]) ).
cnf(s146,plain,
~ spl0_5,
inference(rat,[],[s145,s144]) ).
cnf(s147,plain,
( spl0_21
| ~ spl0_4 ),
inference(rat,[],[s139,s138,s122,s70,s59,s60,s61,s62,s63]) ).
cnf(s148,plain,
( spl0_11
| spl0_23
| ~ spl0_25 ),
inference(rat,[],[s74,s42,s49]) ).
cnf(s149,plain,
( ~ spl0_11
| spl0_23
| ~ spl0_25 ),
inference(rat,[],[s74,s41,s48,s122]) ).
cnf(s150,plain,
( spl0_23
| ~ spl0_25 ),
inference(rat,[],[s149,s148]) ).
cnf(s151,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_4 ),
inference(rat,[],[s39,s139,s40,s38,s138,s85]) ).
cnf(s152,plain,
( ~ spl0_25
| ~ spl0_4 ),
inference(rat,[],[s151,s150]) ).
cnf(s153,plain,
( spl0_25
| ~ spl0_21 ),
inference(rat,[],[s70,s53,s54,s73]) ).
cnf(s154,plain,
~ spl0_4,
inference(rat,[],[s153,s152,s147]) ).
cnf(s156,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s89,s30,s37]) ).
cnf(s157,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s89,s29,s36,s90]) ).
cnf(s158,plain,
~ spl0_3,
inference(rat,[],[s157,s156]) ).
cnf(s159,plain,
( spl0_18
| ~ spl0_2 ),
inference(rat,[],[s66,s41,s42]) ).
cnf(s160,plain,
( ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s67,s75,s150,s159]) ).
cnf(s161,plain,
~ spl0_2,
inference(rat,[],[s66,s62,s63,s153,s160]) ).
cnf(s162,plain,
spl0_1,
inference(rat,[],[s2,s146,s154,s158,s161]) ).
cnf(s163,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(rat,[],[s104,s38,s39,s40,s108,s162]) ).
cnf(s164,plain,
~ spl0_25,
inference(rat,[],[s163,s150]) ).
cnf(s165,plain,
~ spl0_21,
inference(rat,[],[s153,s164]) ).
cnf(s170,plain,
spl0_9,
inference(rat,[],[s61,s165]) ).
cnf(s171,plain,
spl0_8,
inference(rat,[],[s60,s165]) ).
cnf(s173,plain,
$false,
inference(rat,[],[s70,s164,s170,s171]) ).
fof(f1109,plain,
$false,
inference(avatar_sat_refutation,[],[s173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP243-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:44:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (2379654)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2379663)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=529720000:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2379660)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2379659)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=889585994_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2379660)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3002553880:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2379661)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3245778925:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2379664)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2926373871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2379662)dis+10_1_sil=32000:sp=arity:random_seed=3350696706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2379665)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1930139890:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (2379663) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2379654-2379663"...
% 0.16/0.47 % (2379663)...printing done.
% 0.16/0.47 % (2379663)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2379663)------------------------------
% 0.16/0.47 % (2379663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2379663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2379663)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2379663)Termination reason: Refutation
% 0.16/0.47 % (2379663)Time elapsed: 0.011 s
% 0.16/0.47 % (2379663)Peak memory usage: 12 MB
% 0.16/0.47 % (2379663)Instructions burned: 32 (million)
% 0.16/0.47 % (2379654)Success in time 0.046 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------