%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP216-1 : 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 : 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 10:17:12 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 43
% Syntax : Number of formulae : 259 ( 20 unt; 15 def)
% Number of atoms : 842 ( 254 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1105 ( 522 ~; 568 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 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(f5,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| inverse(sk_c7) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c7,X3) != sk_c6
| multiply(X4,sk_c7) != X3
| inverse(X4) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != inverse(sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,X3)
| multiply(X4,sk_c7) != X3
| sk_c7 != inverse(X4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != inverse(sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> sk_c6 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( sk_c6 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f55,f70,f67,f63,f60,f57]) ).
fof(f74,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f78,f74]) ).
fof(f83,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f50,f78,f83]) ).
fof(f88,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f48,f78,f88]) ).
fof(f93,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f46,f78,f93]) ).
fof(f98,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f78,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f78,f63]) ).
fof(f104,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f104,f74]) ).
fof(f108,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f104,f83]) ).
fof(f109,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f104,f88]) ).
fof(f110,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f104,f93]) ).
fof(f111,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f104,f98]) ).
fof(f112,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f104,f63]) ).
fof(f114,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f116,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f114,f74]) ).
fof(f118,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f114,f83]) ).
fof(f119,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f114,f88]) ).
fof(f120,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f114,f93]) ).
fof(f121,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f114,f98]) ).
fof(f122,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f114,f63]) ).
fof(f124,definition,
( spl0_14
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f126,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f124,f74]) ).
fof(f128,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f124,f83]) ).
fof(f129,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f124,f88]) ).
fof(f130,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f124,f93]) ).
fof(f131,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f124,f98]) ).
fof(f132,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f124,f63]) ).
fof(f133,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f61,f95]) ).
fof(f134,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f135,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f134,f100]) ).
fof(f136,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f61,f106]) ).
fof(f138,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f137]) ).
fof(f139,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f138,f80]) ).
fof(f141,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f116]) ).
fof(f142,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f3,f64]) ).
fof(f145,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f80]) ).
fof(f152,definition,
( spl0_16
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f153,plain,
( identity = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f106]) ).
fof(f168,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f227,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f168,f1]) ).
fof(f228,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f168,f4]) ).
fof(f231,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f168,f126]) ).
fof(f239,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_7 ),
inference(superposition,[],[f168,f145]) ).
fof(f240,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f168,f85]) ).
fof(f242,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f168,f106]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c2),multiply(sk_c7,X0))
| ~ spl0_12 ),
inference(superposition,[],[f168,f164]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f243,f80]) ).
fof(f248,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f242,f80]) ).
fof(f250,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f240,f76]) ).
fof(f257,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f231,f116]) ).
fof(f260,plain,
( multiply(sk_c2,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f164,f248]) ).
fof(f263,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f260,f106]) ).
fof(f266,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f250,f90]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f168,f247]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f416,f168]) ).
fof(f518,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f419,f141]) ).
fof(f519,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f419,f257]) ).
fof(f542,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f519,f139]) ).
fof(f543,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f683,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,sk_c6)),multiply(sk_c7,X0)) = X0
| ~ spl0_12 ),
inference(superposition,[],[f228,f164]) ).
fof(f687,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,sk_c6)),X0) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f683,f419]) ).
fof(f765,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f687,f106]) ).
fof(f894,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f3,f765]) ).
fof(f907,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f894,f104,f78,f152]) ).
fof(f916,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f239,f153]) ).
fof(f918,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f916,f519]) ).
fof(f923,plain,
( sk_c7 = sk_c2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f918,f765]) ).
fof(f948,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f80,f923]) ).
fof(f958,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f948,f65]) ).
fof(f959,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f963,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f58,f519]) ).
fof(f964,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f64,f519]) ).
fof(f1007,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f963,f227]) ).
fof(f1030,plain,
( sk_c7 != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1007,f263]) ).
fof(f1044,plain,
( sk_c7 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1030,f518]) ).
fof(f1053,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1044,f116]) ).
fof(f1057,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1053,f964]) ).
fof(f1058,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1061,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f71,f519]) ).
fof(f1064,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1061,f3]) ).
fof(f1091,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1064,f153]) ).
fof(f1099,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1091,f964]) ).
fof(f1106,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1099,f964]) ).
fof(f1107,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1108,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f68,f519]) ).
fof(f1109,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1108,f519]) ).
fof(f1112,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1109,f3]) ).
fof(f1139,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1112,f153]) ).
fof(f1147,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1139,f964]) ).
fof(f1154,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1147,f964]) ).
fof(f1155,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1214,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f95,f266]) ).
fof(f1226,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f58,f266]) ).
fof(f1233,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f71,f266]) ).
fof(f1235,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1233,f64]) ).
fof(f1237,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1235,f266]) ).
fof(f1240,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f68,f266]) ).
fof(f1241,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1240,f266]) ).
fof(f1259,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f90,f266]) ).
fof(f1275,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1241,f100]) ).
fof(f1280,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1275]) ).
fof(f1306,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f142,f266]) ).
fof(f1345,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1280,f1214]) ).
fof(f1346,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1351,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1226,f76]) ).
fof(f1352,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1351]) ).
fof(f1355,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1352,f85]) ).
fof(f1358,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1355,f1259]) ).
fof(f1359,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1361,plain,
( identity != sk_c7
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1237,f1306]) ).
fof(f1371,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1361,f88,f83,f74,f70,f63,f152]) ).
fof(f1376,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1233,f100]) ).
fof(f1379,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1376]) ).
fof(f1381,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1379,f1214]) ).
fof(f1382,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1381]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f91]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s20,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s21,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s22,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s24,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f136]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f543]) ).
cnf(s42,plain,
( ~ spl0_7
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f907]) ).
cnf(s45,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f959]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s66,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s75,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s80,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s83,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(rat,[],[s42,s45]) ).
cnf(s84,plain,
spl0_3,
inference(rat,[],[s83,s7,s13,s19,s25]) ).
cnf(s85,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_7
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s66,s75,s42,s84]) ).
cnf(s86,plain,
( spl0_14
| ~ spl0_16
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s79,s81,s20,s21,s22,s23,s24,s84]) ).
cnf(s87,plain,
( ~ spl0_12
| ~ spl0_7
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s79,s81,s14,s15,s16,s17,s18,s85,s86,s42,s84]) ).
cnf(s88,plain,
( spl0_12
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s82,s79,s8,s9,s10,s11,s12,s84]) ).
cnf(s89,plain,
( ~ spl0_12
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s82,s79,s2,s3,s4,s5,s6,s87,s84]) ).
cnf(s90,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s89,s88]) ).
cnf(s92,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s26,s23,s24]) ).
cnf(s93,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s26,s17,s18]) ).
cnf(s94,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s26,s5,s6]) ).
cnf(s95,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_2
| ~ spl0_13 ),
inference(rat,[],[s26,s11,s12,s36]) ).
cnf(s96,plain,
~ spl0_2,
inference(rat,[],[s95,s94,s93,s92]) ).
cnf(s97,plain,
spl0_1,
inference(rat,[],[s90,s96]) ).
cnf(s98,plain,
spl0_14,
inference(rat,[],[s80,s20,s21,s22,s97]) ).
cnf(s99,plain,
spl0_13,
inference(rat,[],[s80,s14,s15,s16,s97]) ).
cnf(s100,plain,
spl0_7,
inference(rat,[],[s80,s2,s3,s4,s97]) ).
cnf(s101,plain,
~ spl0_12,
inference(rat,[],[s56,s99,s97,s84,s98,s100]) ).
cnf(s104,plain,
spl0_9,
inference(rat,[],[s10,s101]) ).
cnf(s105,plain,
spl0_8,
inference(rat,[],[s9,s101]) ).
cnf(s106,plain,
spl0_6,
inference(rat,[],[s8,s101]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s80,s97,s104,s105,s106]) ).
fof(f1383,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP216-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:42:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2376038)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2376048)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2376048)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2827376522:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (2376049)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3416847197:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (2376050)dis+10_1_sil=32000:sp=arity:random_seed=3976516966:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (2376051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1477339233:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (2376052)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2832211875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (2376053)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1581655475:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (2376047)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4148648749_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (2376048) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2376038-2376048"...
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % (2376048)...printing done.
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % (2376048)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (2376048)------------------------------
% 0.12/0.45 % (2376048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2376048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2376048)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2376048)Termination reason: Refutation
% 0.12/0.45 % (2376048)Time elapsed: 0.016 s
% 0.12/0.45 % (2376048)Peak memory usage: 13 MB
% 0.12/0.45 % (2376048)Instructions burned: 48 (million)
% 0.12/0.45 % (2376038)Success in time 0.032 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------