%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP389-1 : 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 : n006.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 10:17:40 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 57
% Syntax : Number of formulae : 362 ( 18 unt; 21 def)
% Number of atoms : 1122 ( 361 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1420 ( 660 ~; 739 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 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(f9,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f17,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( inverse(sk_c10) = sk_c9
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c4,sk_c11) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,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_24) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f51]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c10) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f81,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f83]) ).
fof(f89,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c11) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c11 = inverse(sk_c4) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c10) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f101]) ).
fof(f107,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| inverse(X0) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| multiply(X1,X2) != sk_c10
| inverse(X1) != X2
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| multiply(X5,sk_c10) != sk_c11
| multiply(X6,X7) != sk_c10
| inverse(X6) != X7
| multiply(X7,sk_c9) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| multiply(X1,X2) != sk_c10
| inverse(X1) != X2
| sk_c10 != multiply(X2,sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10)
| sk_c10 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c10 != multiply(X7,sk_c9) ),
inference(reorient_equations,[],[f113]) ).
fof(f116,definition,
( spl0_1
<=> ! [X6,X7] :
( sk_c10 != multiply(X6,X7)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X6) != X7 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f117,plain,
( ! [X6,X7] :
( sk_c10 != multiply(X6,X7)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X6) != X7 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,definition,
( spl0_2
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f120,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c10) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl0_3
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f123,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,definition,
( spl0_4
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f126,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,definition,
( spl0_5
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f129,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( inverse(sk_c10) != sk_c9
| spl0_5 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_1
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f114,f128,f119,f116,f125,f122,f119,f116]) ).
fof(f133,definition,
( spl0_6
<=> sk_c10 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f135,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f137,definition,
( spl0_7
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f139,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f112,f137,f133]) ).
fof(f142,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f110,f137,f142]) ).
fof(f147,definition,
( spl0_9
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f149,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f108,f137,f147]) ).
fof(f152,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c6,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f154,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f157,definition,
( spl0_11
<=> sk_c11 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f159,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f162,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f164,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f102,f137,f162]) ).
fof(f167,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c5,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f168,plain,
( sk_c9 != multiply(sk_c5,sk_c10)
| spl0_13 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( sk_c9 = multiply(sk_c5,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f100,f137,f167]) ).
fof(f172,definition,
( spl0_14
<=> sk_c11 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f174,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f98,f137,f172]) ).
fof(f177,definition,
( spl0_15
<=> sk_c10 = multiply(sk_c4,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f179,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f96,f137,f177]) ).
fof(f182,definition,
( spl0_16
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f184,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f94,f182,f133]) ).
fof(f186,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f92,f182,f142]) ).
fof(f187,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f90,f182,f147]) ).
fof(f190,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f84,f182,f162]) ).
fof(f191,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f82,f182,f167]) ).
fof(f195,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f197,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f76,f195,f133]) ).
fof(f199,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f74,f195,f142]) ).
fof(f200,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f195,f147]) ).
fof(f203,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f66,f195,f162]) ).
fof(f204,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f64,f195,f167]) ).
fof(f208,definition,
( spl0_18
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f210,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f214,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f52,f208,f152]) ).
fof(f215,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f50,f208,f157]) ).
fof(f216,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f48,f208,f162]) ).
fof(f218,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f44,f208,f172]) ).
fof(f219,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f42,f208,f177]) ).
fof(f221,definition,
( spl0_19
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f223,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f227,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f34,f221,f152]) ).
fof(f228,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f32,f221,f157]) ).
fof(f229,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f30,f221,f162]) ).
fof(f231,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f26,f221,f172]) ).
fof(f232,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f24,f221,f177]) ).
fof(f233,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f128,f133]) ).
fof(f234,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f128,f142]) ).
fof(f235,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f128,f147]) ).
fof(f238,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f128,f162]) ).
fof(f239,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f128,f167]) ).
fof(f242,plain,
( sk_c10 = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f149,f144]) ).
fof(f243,plain,
( sk_c10 = multiply(sk_c4,inverse(sk_c4))
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f179,f174]) ).
fof(f244,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c9)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f135,f144]) ).
fof(f245,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f247,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f3,f164]) ).
fof(f248,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f249,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f248,f4]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c10,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f169]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(inverse(sk_c7),X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f4,f242]) ).
fof(f265,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f247]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f269,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f266,f169]) ).
fof(f278,plain,
( multiply(sk_c5,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f256,f269]) ).
fof(f280,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f278,f169]) ).
fof(f287,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c7,sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f258,f244]) ).
fof(f288,plain,
( multiply(sk_c10,sk_c7) = multiply(sk_c7,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f258,f3]) ).
fof(f291,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f287,f269]) ).
fof(f312,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f249,f3]) ).
fof(f313,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f249,f249]) ).
fof(f316,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl0_12 ),
inference(superposition,[],[f249,f247]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_12 ),
inference(superposition,[],[f249,f266]) ).
fof(f319,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f249,f280]) ).
fof(f327,plain,
( inverse(sk_c7) = multiply(inverse(sk_c7),sk_c10)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f249,f242]) ).
fof(f329,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f249,f291]) ).
fof(f336,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f327,f329]) ).
fof(f342,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f319,f3]) ).
fof(f344,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f312,f313]) ).
fof(f357,plain,
( identity != inverse(sk_c10)
| spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f130,f342]) ).
fof(f409,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f336]) ).
fof(f410,plain,
( sk_c10 = inverse(multiply(inverse(sk_c10),identity))
| ~ spl0_12 ),
inference(superposition,[],[f164,f316]) ).
fof(f420,plain,
( sk_c10 = inverse(inverse(sk_c10))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f410,f344]) ).
fof(f432,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f249,f409]) ).
fof(f435,plain,
( inverse(sk_c10) = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f432,f344]) ).
fof(f458,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f291,f435]) ).
fof(f460,plain,
( identity = multiply(sk_c10,inverse(sk_c10))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f409,f435]) ).
fof(f461,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f458,f3]) ).
fof(f506,plain,
( multiply(inverse(sk_c10),identity) = multiply(sk_c10,inverse(sk_c10))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f288,f435]) ).
fof(f512,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f506,f460]) ).
fof(f514,plain,
( identity = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f512,f344]) ).
fof(f515,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f514,f357]) ).
fof(f516,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f518,plain,
( identity = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f129,f342]) ).
fof(f519,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f514,f461]) ).
fof(f551,plain,
( sk_c10 = multiply(sk_c2,inverse(sk_c2))
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f197,f184]) ).
fof(f552,plain,
( inverse(sk_c4) = multiply(sk_c1,sk_c10)
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f210,f174]) ).
fof(f553,plain,
( inverse(sk_c4) = inverse(sk_c1)
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f223,f174]) ).
fof(f556,plain,
( ! [X4] :
( identity != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f123,f342]) ).
fof(f568,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f518]) ).
fof(f569,plain,
( identity = sk_c10
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f568,f1]) ).
fof(f590,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f154,f569]) ).
fof(f647,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(inverse(sk_c2),X0))
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f4,f551]) ).
fof(f655,plain,
( sk_c10 = multiply(inverse(sk_c1),inverse(sk_c4))
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f249,f552]) ).
fof(f669,plain,
( ! [X0] :
( identity != multiply(inverse(X0),X0)
| sk_c10 != inverse(inverse(sk_c10)) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f556,f245]) ).
fof(f682,plain,
( ! [X0] : identity != multiply(inverse(X0),X0)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f669,f420]) ).
fof(f692,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f682,f3]) ).
fof(f693,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f704,plain,
( sk_c9 != multiply(inverse(sk_c10),sk_c10)
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f168,f317]) ).
fof(f706,plain,
( sk_c10 = multiply(sk_c3,inverse(sk_c10))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f139,f129]) ).
fof(f707,plain,
( ! [X4] :
( inverse(sk_c10) != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f123,f129]) ).
fof(f709,plain,
( sk_c10 = multiply(inverse(sk_c4),inverse(sk_c4))
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f655,f553]) ).
fof(f710,plain,
( identity != sk_c9
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f704,f3]) ).
fof(f712,plain,
( sk_c10 = multiply(inverse(sk_c2),inverse(sk_c10))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f706,f184]) ).
fof(f713,plain,
( identity != inverse(sk_c10)
| ~ spl0_5
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f710,f129]) ).
fof(f721,plain,
( identity = multiply(sk_c10,inverse(sk_c10))
| ~ spl0_12 ),
inference(superposition,[],[f3,f420]) ).
fof(f724,plain,
( inverse(sk_c10) = multiply(inverse(inverse(sk_c2)),sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f249,f712]) ).
fof(f725,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c2),multiply(inverse(sk_c10),X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f4,f712]) ).
fof(f726,plain,
( inverse(sk_c10) = multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f724,f313]) ).
fof(f732,plain,
( identity != inverse(sk_c10)
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f707,f3]) ).
fof(f761,plain,
( multiply(sk_c10,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f647,f3]) ).
fof(f763,plain,
( multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f647,f712]) ).
fof(f767,plain,
( inverse(sk_c10) = multiply(sk_c10,inverse(sk_c10))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f763,f726]) ).
fof(f768,plain,
( sk_c2 = multiply(sk_c10,sk_c2)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f761,f344]) ).
fof(f772,plain,
( identity = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f767,f721]) ).
fof(f773,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f772,f713]) ).
fof(f774,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f780,definition,
( spl0_20
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f782,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl0_20 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f784,definition,
( spl0_21
<=> identity = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f785,plain,
( identity = inverse(sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f786,plain,
( identity != inverse(sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f787,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f732,f128,f122,f784,f780]) ).
fof(f811,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c2)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f249,f768]) ).
fof(f832,plain,
( multiply(sk_c10,sk_c2) = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f725,f811]) ).
fof(f836,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f832,f3]) ).
fof(f902,plain,
( identity = sk_c2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f768,f836]) ).
fof(f905,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f249,f836]) ).
fof(f908,plain,
( inverse(sk_c10) = sk_c2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f905,f344]) ).
fof(f912,plain,
( identity = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f908,f902]) ).
fof(f916,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f912,f786]) ).
fof(f917,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f932,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_21 ),
inference(superposition,[],[f3,f785]) ).
fof(f933,plain,
( identity = sk_c10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f932,f1]) ).
fof(f949,plain,
( inverse(sk_c4) = multiply(sk_c1,identity)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f552,f933]) ).
fof(f959,plain,
( identity != inverse(inverse(identity))
| spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f782,f933]) ).
fof(f960,plain,
( identity = inverse(identity)
| ~ spl0_21 ),
inference(superposition,[],[f785,f933]) ).
fof(f964,plain,
( identity != inverse(identity)
| spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f959,f960]) ).
fof(f973,plain,
( inverse(sk_c4) = sk_c1
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f949,f344]) ).
fof(f977,plain,
( $false
| spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f964,f960]) ).
fof(f978,plain,
( spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f1006,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(sk_c4))
| sk_c11 != inverse(X3) )
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f126,f174]) ).
fof(f1037,plain,
( identity = multiply(inverse(sk_c4),inverse(sk_c4))
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f709,f933]) ).
fof(f1041,plain,
( ! [X3] :
( identity != multiply(X3,inverse(sk_c4))
| sk_c11 != inverse(X3) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1006,f933]) ).
fof(f1042,plain,
( ! [X3] :
( inverse(sk_c4) != inverse(X3)
| identity != multiply(X3,inverse(sk_c4)) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1041,f174]) ).
fof(f1063,plain,
( inverse(sk_c4) != inverse(sk_c4)
| identity != multiply(sk_c1,inverse(sk_c4))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1042,f553]) ).
fof(f1064,plain,
( identity != multiply(sk_c4,inverse(sk_c4))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21 ),
inference(equality_resolution,[],[f1042]) ).
fof(f1065,plain,
( identity != multiply(sk_c1,inverse(sk_c4))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1063]) ).
fof(f1066,plain,
( identity != sk_c10
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1064,f243]) ).
fof(f1067,plain,
( identity != multiply(inverse(sk_c4),inverse(sk_c4))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1065,f973]) ).
fof(f1068,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1066,f933]) ).
fof(f1069,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1070,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1067,f1037]) ).
fof(f1071,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1072,plain,
( ! [X6,X7] :
( identity != multiply(X6,X7)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X6) != X7 )
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f117,f933]) ).
fof(f1073,plain,
( ! [X6,X7] :
( sk_c10 != multiply(X7,inverse(sk_c10))
| identity != multiply(X6,X7)
| inverse(X6) != X7 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1072,f129]) ).
fof(f1074,plain,
( ! [X6,X7] :
( sk_c10 != multiply(X7,identity)
| identity != multiply(X6,X7)
| inverse(X6) != X7 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1073,f785]) ).
fof(f1075,plain,
( ! [X6,X7] :
( sk_c10 != X7
| identity != multiply(X6,X7)
| inverse(X6) != X7 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1074,f344]) ).
fof(f1076,plain,
( ! [X6,X7] :
( identity != multiply(X6,X7)
| identity != X7
| inverse(X6) != X7 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1075,f933]) ).
fof(f1086,plain,
( ! [X0] :
( identity != X0
| identity != X0
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f1076,f1]) ).
fof(f1115,plain,
( ! [X0] :
( identity != X0
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1086]) ).
fof(f1132,plain,
( ! [X0] :
( identity != X0
| identity != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1115,f960]) ).
fof(f1133,plain,
( ! [X0] : identity != X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1132]) ).
fof(f1164,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(equality_resolution,[],[f1133]) ).
fof(f1165,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1178,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f210,f933]) ).
fof(f1179,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f120,f933]) ).
fof(f1181,plain,
( sk_c11 = sk_c1
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1178,f344]) ).
fof(f1182,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != X5 )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1179,f344]) ).
fof(f1186,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f223,f1181]) ).
fof(f1209,plain,
( ! [X3] :
( identity != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f126,f933]) ).
fof(f1217,plain,
( ! [X0] :
( identity != multiply(inverse(X0),X0)
| sk_c11 != inverse(inverse(sk_c11)) )
| ~ spl0_4
| ~ spl0_21 ),
inference(superposition,[],[f1209,f245]) ).
fof(f1227,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1217,f3]) ).
fof(f1233,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1227,f1186]) ).
fof(f1236,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1233,f1186]) ).
fof(f1237,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1242,plain,
( sk_c11 = sk_c6
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f590,f344]) ).
fof(f1258,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(forward_demodulation,[],[f786,f461]) ).
fof(f1278,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1258,f519]) ).
fof(f1279,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1366,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c6
| ~ spl0_2
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f1182,f159]) ).
fof(f1367,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1182,f223]) ).
fof(f1368,plain,
( sk_c11 != sk_c1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1367]) ).
fof(f1369,plain,
( sk_c11 != sk_c6
| ~ spl0_2
| ~ spl0_11
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1366]) ).
fof(f1370,plain,
( $false
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1368,f1181]) ).
fof(f1371,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1372,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1369,f1242]) ).
fof(f1373,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f140]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f145]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f165]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f170]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f175]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f180]) ).
cnf(s12,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f185]) ).
cnf(s13,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f186]) ).
cnf(s14,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f187]) ).
cnf(s17,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f190]) ).
cnf(s18,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f191]) ).
cnf(s21,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f198]) ).
cnf(s22,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f199]) ).
cnf(s23,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s26,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f203]) ).
cnf(s27,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f204]) ).
cnf(s33,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f214]) ).
cnf(s34,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s35,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f216]) ).
cnf(s37,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f218]) ).
cnf(s38,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s42,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f227]) ).
cnf(s43,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s44,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s46,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f231]) ).
cnf(s47,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f232]) ).
cnf(s48,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f233]) ).
cnf(s49,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f234]) ).
cnf(s50,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f235]) ).
cnf(s53,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f238]) ).
cnf(s54,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f239]) ).
cnf(s57,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f516]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f693]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f774]) ).
cnf(s66,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f787]) ).
cnf(s74,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f917]) ).
cnf(s76,plain,
( spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f978]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s80,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s83,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s90,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s91,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s95,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s96,plain,
spl0_5,
inference(rat,[],[s57,s48,s49,s50,s53,s54]) ).
cnf(s97,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s91,s79,s4,s5,s8,s9,s10,s11]) ).
cnf(s98,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s80,s38,s47,s79]) ).
cnf(s99,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s90,s37,s46,s98]) ).
cnf(s100,plain,
( ~ spl0_12
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_6
| spl0_21 ),
inference(rat,[],[s65,s18,s27,s91,s96]) ).
cnf(s101,plain,
( spl0_12
| ~ spl0_7
| spl0_21 ),
inference(rat,[],[s74,s17,s26,s96]) ).
cnf(s102,plain,
( spl0_9
| ~ spl0_7
| spl0_21 ),
inference(rat,[],[s74,s14,s23,s96]) ).
cnf(s103,plain,
( ~ spl0_9
| ~ spl0_12
| spl0_21
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s74,s13,s22,s100,s96]) ).
cnf(s104,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s103,s102,s101,s97,s99]) ).
cnf(s105,plain,
~ spl0_4,
inference(rat,[],[s74,s3,s12,s21,s104,s99,s96]) ).
cnf(s106,plain,
( ~ spl0_21
| ~ spl0_3 ),
inference(rat,[],[s66,s76,s96]) ).
cnf(s108,plain,
( spl0_12
| spl0_21 ),
inference(rat,[],[s101,s8]) ).
cnf(s109,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s65,s9,s18,s27,s63,s96]) ).
cnf(s110,plain,
~ spl0_3,
inference(rat,[],[s109,s108,s106]) ).
cnf(s111,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_12
| ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s95,s42,s43,s96]) ).
cnf(s112,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_2
| ~ spl0_21 ),
inference(rat,[],[s95,s33,s34,s94,s111,s96]) ).
cnf(s113,plain,
( ~ spl0_17
| ~ spl0_16
| spl0_13
| ~ spl0_12 ),
inference(rat,[],[s9,s65,s96]) ).
cnf(s114,plain,
( ~ spl0_12
| ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s113,s18,s27,s112]) ).
cnf(s115,plain,
( ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s94,s35,s44,s114]) ).
cnf(s116,plain,
( ~ spl0_9
| ~ spl0_7
| spl0_21
| ~ spl0_12 ),
inference(rat,[],[s74,s12,s21,s103,s96]) ).
cnf(s117,plain,
( ~ spl0_7
| spl0_21 ),
inference(rat,[],[s116,s102,s108]) ).
cnf(s118,plain,
spl0_21,
inference(rat,[],[s91,s3,s4,s5,s9,s117,s108]) ).
cnf(s121,plain,
~ spl0_1,
inference(rat,[],[s83,s96,s118]) ).
cnf(s122,plain,
~ spl0_2,
inference(rat,[],[s115,s118]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s2,s96,s105,s110,s121,s122]) ).
fof(f1374,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP389-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 10:00:25 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44 % (2747562)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (2747572)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3810748058:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.44 % (2747568)% WARNING: option uhcvi not known.
% 0.13/0.44 % (2747567)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3851432548_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % (2747569)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1900974685:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.44 % (2747570)dis+10_1_sil=32000:sp=arity:random_seed=262113604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.44 % (2747571)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3571515227:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.44 % (2747573)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1050824387:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.44 % (2747568)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3701454016:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % (2747572) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2747562-2747572"...
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % TRYING [3]
% 0.13/0.44 % (2747572)...printing done.
% 0.13/0.44 % (2747572)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (2747572)------------------------------
% 0.13/0.44 % (2747572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (2747572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (2747572)CaDiCaL version: 2.1.3
% 0.13/0.44 % (2747572)Termination reason: Refutation
% 0.13/0.44 % (2747572)Time elapsed: 0.014 s
% 0.13/0.44 % (2747572)Peak memory usage: 12 MB
% 0.13/0.44 % (2747572)Instructions burned: 41 (million)
% 0.13/0.44 % (2747562)Success in time 0.042 s
% 0.13/0.44 % Vampire exiting
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