%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP382-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:48 AM UTC 2026
% Result : Unsatisfiable 1.69s 1.42s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 60
% Syntax : Number of formulae : 432 ( 29 unt; 29 def)
% Number of atoms : 1574 ( 437 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 2265 (1123 ~;1113 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c12) = sk_c11
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c12) = sk_c11
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f12,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c12) = sk_c11
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( inverse(sk_c12) = sk_c11
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( inverse(sk_c12) = sk_c11
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| multiply(sk_c5,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f63,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f65]) ).
fof(f71,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f91,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f93]) ).
fof(f111,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f112,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f114,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f113]) ).
fof(f131,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f132,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f131]) ).
fof(f133,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).
fof(f134,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f133]) ).
fof(f143,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inverse(sk_c12) != sk_c11
| multiply(sk_c11,sk_c10) != sk_c12
| inverse(X0) != sk_c12
| multiply(X0,sk_c11) != sk_c12
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X3) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| inverse(X4) != sk_c11
| multiply(X5,X6) != sk_c12
| inverse(X5) != X6
| multiply(X6,sk_c11) != sk_c12
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
fof(f144,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inverse(sk_c12) != sk_c11
| sk_c12 != multiply(sk_c11,sk_c10)
| inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| sk_c11 != multiply(X2,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c12 != multiply(X6,sk_c11)
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
inference(reorient_equations,[],[f143]) ).
fof(f145,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( inverse(sk_c12) != sk_c11
| sk_c12 != multiply(sk_c11,sk_c10)
| inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c12 != multiply(X6,sk_c11)
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
inference(equality_resolution,[],[f144]) ).
fof(f146,plain,
! [X3,X0,X1,X8,X7,X4,X5] :
( inverse(sk_c12) != sk_c11
| sk_c12 != multiply(sk_c11,sk_c10)
| inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X7) != X8
| inverse(X5) != inverse(X8)
| multiply(X7,inverse(X5)) != X8 ),
inference(equality_resolution,[],[f145]) ).
fof(f147,plain,
! [X3,X0,X1,X7,X4,X5] :
( inverse(sk_c12) != sk_c11
| sk_c12 != multiply(sk_c11,sk_c10)
| inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X5) != inverse(inverse(X7))
| inverse(X7) != multiply(X7,inverse(X5)) ),
inference(equality_resolution,[],[f146]) ).
fof(f149,definition,
( spl0_1
<=> ! [X5,X7] :
( sk_c12 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(inverse(X5),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f150,plain,
( ! [X7,X5] :
( sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(X5,inverse(X5)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f153,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,definition,
( spl0_3
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f156,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,definition,
( spl0_4
<=> ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f159,plain,
( ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,definition,
( spl0_5
<=> ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f162,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,definition,
( spl0_6
<=> sk_c12 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f165,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f166,plain,
( sk_c12 != multiply(sk_c11,sk_c10)
| spl0_6 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl0_7
<=> inverse(sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f169,plain,
( inverse(sk_c12) = sk_c11
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f170,plain,
( inverse(sk_c12) != sk_c11
| spl0_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f147,f168,f164,f161,f158,f155,f152,f149]) ).
fof(f177,definition,
( spl0_9
<=> sk_c11 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f179,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f182,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f184,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f187,definition,
( spl0_11
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f189,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f192,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f194,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f197,definition,
( spl0_13
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f199,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f134,f177,f197]) ).
fof(f202,definition,
( spl0_14
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f204,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f132,f177,f202]) ).
fof(f207,definition,
( spl0_15
<=> sk_c11 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f209,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f212,definition,
( spl0_16
<=> multiply(sk_c5,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f214,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f217,definition,
( spl0_17
<=> sk_c12 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f219,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f222,definition,
( spl0_18
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f224,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f227,definition,
( spl0_19
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f229,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f234,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f114,f227,f197]) ).
fof(f235,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f112,f227,f202]) ).
fof(f241,definition,
( spl0_20
<=> sk_c11 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f243,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f248,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f94,f241,f197]) ).
fof(f249,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f92,f241,f202]) ).
fof(f255,definition,
( spl0_21
<=> sk_c12 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f257,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f262,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f74,f255,f197]) ).
fof(f263,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f72,f255,f202]) ).
fof(f266,plain,
( spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f66,f255,f217]) ).
fof(f267,plain,
( spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f64,f255,f222]) ).
fof(f269,definition,
( spl0_22
<=> sk_c12 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f271,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f276,plain,
( spl0_13
| spl0_22 ),
inference(avatar_split_clause,[],[f54,f269,f197]) ).
fof(f277,plain,
( spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f52,f269,f202]) ).
fof(f280,plain,
( spl0_17
| spl0_22 ),
inference(avatar_split_clause,[],[f46,f269,f217]) ).
fof(f281,plain,
( spl0_18
| spl0_22 ),
inference(avatar_split_clause,[],[f44,f269,f222]) ).
fof(f286,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f164,f197]) ).
fof(f287,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f164,f202]) ).
fof(f288,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f164,f207]) ).
fof(f289,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f164,f212]) ).
fof(f290,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f164,f217]) ).
fof(f291,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f164,f222]) ).
fof(f293,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f168,f182]) ).
fof(f294,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f168,f187]) ).
fof(f295,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f17,f168,f192]) ).
fof(f296,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f168,f197]) ).
fof(f297,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f168,f202]) ).
fof(f300,plain,
( spl0_17
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f168,f217]) ).
fof(f301,plain,
( spl0_18
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f168,f222]) ).
fof(f302,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_17 ),
inference(superposition,[],[f3,f219]) ).
fof(f305,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f3,f189]) ).
fof(f306,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f3,f184]) ).
fof(f309,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f315,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f309,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f302]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f332,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f319,f224]) ).
fof(f381,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f315,f332]) ).
fof(f386,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_16 ),
inference(superposition,[],[f315,f214]) ).
fof(f389,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_14 ),
inference(superposition,[],[f315,f204]) ).
fof(f393,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl0_12 ),
inference(superposition,[],[f315,f194]) ).
fof(f395,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl0_10 ),
inference(superposition,[],[f315,f306]) ).
fof(f398,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f315,f305]) ).
fof(f401,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f398,f184]) ).
fof(f406,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f389,f199]) ).
fof(f409,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f386,f209]) ).
fof(f413,plain,
( identity = sk_c11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f381,f3]) ).
fof(f415,plain,
( multiply(sk_c9,sk_c11) = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f401,f413]) ).
fof(f416,plain,
( sk_c12 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f415,f194]) ).
fof(f420,plain,
( inverse(sk_c12) = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f189,f416]) ).
fof(f427,plain,
( sk_c12 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f315,f406]) ).
fof(f429,plain,
( identity = sk_c12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f427,f3]) ).
fof(f432,plain,
( sk_c12 = sk_c11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f429,f413]) ).
fof(f435,plain,
( sk_c12 != sk_c11
| spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f166,f409]) ).
fof(f461,plain,
( $false
| spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f432,f435]) ).
fof(f462,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f507,plain,
( sk_c11 != sk_c7
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f170,f420]) ).
fof(f511,plain,
( sk_c12 != sk_c7
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f507,f432]) ).
fof(f561,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c11)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f395,f413]) ).
fof(f562,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c12)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f561,f432]) ).
fof(f563,plain,
( sk_c11 = sk_c7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f562,f393]) ).
fof(f564,plain,
( sk_c12 = sk_c7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f563,f432]) ).
fof(f565,plain,
( $false
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f564,f511]) ).
fof(f566,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f567,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f159,f432]) ).
fof(f568,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f169,f432]) ).
fof(f569,plain,
( ! [X1] :
( sk_c12 != multiply(inverse(X1),sk_c12)
| sk_c12 != multiply(X1,inverse(X1)) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f567,f432]) ).
fof(f583,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f3,f568]) ).
fof(f588,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f569,f219]) ).
fof(f629,plain,
( ! [X7,X5] :
( sk_c12 != multiply(inverse(X5),sk_c12)
| sk_c12 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f150,f432]) ).
fof(f755,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(X3,sk_c12) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f156,f432]) ).
fof(f758,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f755,f219]) ).
fof(f763,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f758]) ).
fof(f788,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c12)
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f153,f432]) ).
fof(f824,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c12) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f162,f432]) ).
fof(f828,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f824,f219]) ).
fof(f833,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f828]) ).
fof(f861,definition,
( spl0_23
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f862,plain,
( ! [X0] :
( sk_c12 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f864,definition,
( spl0_24
<=> sk_c12 = multiply(sk_c12,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f865,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f898,plain,
( sk_c12 = multiply(sk_c12,sk_c10)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f165,f432]) ).
fof(f901,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f583,f413]) ).
fof(f916,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f901,f432]) ).
fof(f924,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f916,f222,f217,f202,f197,f168,f864]) ).
fof(f968,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_22 ),
inference(superposition,[],[f3,f271]) ).
fof(f987,plain,
( sk_c10 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f315,f898]) ).
fof(f989,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f987,f3]) ).
fof(f991,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f989,f413]) ).
fof(f993,plain,
( sk_c12 = sk_c10
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f991,f432]) ).
fof(f996,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c4,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f629,f219]) ).
fof(f1012,plain,
( ! [X0] :
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c12,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f996,f224]) ).
fof(f1022,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1012,f432]) ).
fof(f1032,plain,
( spl0_23
| ~ spl0_24
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1022,f222,f217,f202,f197,f149,f864,f861]) ).
fof(f1072,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f862,f219]) ).
fof(f1076,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f862,f271]) ).
fof(f1083,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1072,f568]) ).
fof(f1092,plain,
( sk_c12 != sk_c11
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1083,f224]) ).
fof(f1100,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1092,f432]) ).
fof(f1101,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1124,plain,
( sk_c12 != sk_c11
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f763,f224]) ).
fof(f1135,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1124,f432]) ).
fof(f1136,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1152,plain,
( sk_c12 != sk_c11
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f833,f224]) ).
fof(f1163,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1152,f432]) ).
fof(f1164,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1170,plain,
( ! [X4] :
( sk_c12 != multiply(X4,sk_c12)
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f788,f993]) ).
fof(f1172,plain,
( ! [X4] :
( sk_c12 != inverse(X4)
| sk_c12 != multiply(X4,sk_c12) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1170,f432]) ).
fof(f1177,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f1172,f219]) ).
fof(f1184,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1177]) ).
fof(f1192,plain,
( sk_c12 != sk_c11
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1184,f224]) ).
fof(f1200,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1192,f432]) ).
fof(f1201,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1213,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f588,f865]) ).
fof(f1226,plain,
( sk_c12 != sk_c11
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1213,f224]) ).
fof(f1235,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1226,f432]) ).
fof(f1236,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1235]) ).
fof(f1261,plain,
( sk_c12 = multiply(sk_c12,sk_c1)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f968,f429]) ).
fof(f1276,plain,
( identity = multiply(sk_c11,sk_c12)
| ~ spl0_7 ),
inference(superposition,[],[f3,f169]) ).
fof(f1440,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_20 ),
inference(superposition,[],[f315,f243]) ).
fof(f1442,plain,
( sk_c3 = multiply(sk_c3,sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1440,f229]) ).
fof(f1443,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c12)
| ~ spl0_21 ),
inference(superposition,[],[f315,f257]) ).
fof(f1444,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f257]) ).
fof(f1445,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1443,f271]) ).
fof(f1446,plain,
( sk_c12 = sk_c11
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1445,f865]) ).
fof(f1450,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f257,f1446]) ).
fof(f1463,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c1,sk_c12) )
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f150,f271]) ).
fof(f1469,definition,
( spl0_30
<=> sk_c12 = multiply(sk_c1,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1471,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| spl0_30 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1473,definition,
( spl0_31
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f1474,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1494,definition,
( spl0_35
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1495,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1496,plain,
( sk_c12 != multiply(sk_c3,sk_c11)
| spl0_35 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1498,definition,
( spl0_36
<=> sk_c12 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f1499,plain,
( sk_c12 = sk_c11
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1498]) ).
fof(f1551,plain,
( sk_c1 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f315,f1261]) ).
fof(f1553,plain,
( identity = sk_c1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1551,f3]) ).
fof(f1555,plain,
( sk_c12 = sk_c1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1553,f429]) ).
fof(f1556,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f1261,f1555]) ).
fof(f1557,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f257,f1555]) ).
fof(f1567,plain,
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_7
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1076,f169]) ).
fof(f1581,plain,
( spl0_36
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1446,f864,f269,f255,f1498]) ).
fof(f1614,plain,
( spl0_31
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1557,f269,f255,f202,f197,f1473]) ).
fof(f1617,plain,
( spl0_24
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1556,f269,f202,f197,f864]) ).
fof(f1621,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != sk_c11
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1567,f1555]) ).
fof(f1651,plain,
( ~ spl0_36
| ~ spl0_24
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1621,f861,f269,f202,f197,f168,f864,f1498]) ).
fof(f1678,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| spl0_30 ),
inference(forward_demodulation,[],[f1471,f1555]) ).
fof(f1706,plain,
( ~ spl0_24
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| spl0_30 ),
inference(avatar_split_clause,[],[f1678,f1469,f269,f202,f197,f864]) ).
fof(f1749,definition,
( spl0_51
<=> sk_c12 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1760,plain,
( sk_c12 = multiply(sk_c12,sk_c10)
| ~ spl0_6
| ~ spl0_36 ),
inference(superposition,[],[f165,f1499]) ).
fof(f1766,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| spl0_35
| ~ spl0_36 ),
inference(superposition,[],[f1496,f1499]) ).
fof(f1767,plain,
( sk_c12 != sk_c11
| ~ spl0_9
| spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1766,f179]) ).
fof(f1771,plain,
( $false
| ~ spl0_9
| spl0_35
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1767,f1499]) ).
fof(f1772,plain,
( ~ spl0_9
| spl0_35
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1796,plain,
( sk_c10 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_6
| ~ spl0_36 ),
inference(superposition,[],[f315,f1760]) ).
fof(f1798,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1796,f3]) ).
fof(f1800,plain,
( sk_c12 = sk_c10
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1798,f429]) ).
fof(f1803,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c12) )
| ~ spl0_5
| ~ spl0_36 ),
inference(forward_demodulation,[],[f162,f1499]) ).
fof(f1804,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1800,f1498,f202,f197,f164,f1749]) ).
fof(f1808,plain,
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_36 ),
inference(superposition,[],[f1803,f169]) ).
fof(f1813,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_5
| ~ spl0_22
| ~ spl0_36 ),
inference(superposition,[],[f1803,f271]) ).
fof(f1815,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_5
| ~ spl0_22
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1813]) ).
fof(f1821,definition,
( spl0_54
<=> sk_c12 = sk_c3 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f1822,plain,
( sk_c12 = sk_c3
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1825,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1815,f1555]) ).
fof(f1828,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1808,f1499]) ).
fof(f1829,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1825,f865]) ).
fof(f1830,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1832,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1828,f865]) ).
fof(f1833,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1834,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(X3,sk_c12) )
| ~ spl0_3
| ~ spl0_36 ),
inference(forward_demodulation,[],[f156,f1499]) ).
fof(f1841,plain,
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_36 ),
inference(superposition,[],[f1834,f169]) ).
fof(f1846,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_3
| ~ spl0_22
| ~ spl0_36 ),
inference(superposition,[],[f1834,f271]) ).
fof(f1848,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_3
| ~ spl0_22
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1846]) ).
fof(f1851,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1848,f1555]) ).
fof(f1854,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1841,f1499]) ).
fof(f1857,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1851,f865]) ).
fof(f1858,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1860,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1854,f865]) ).
fof(f1861,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1862,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f159,f1499]) ).
fof(f1863,plain,
( ! [X1] :
( sk_c12 != multiply(inverse(X1),sk_c12)
| sk_c12 != multiply(X1,inverse(X1)) )
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1862,f1499]) ).
fof(f1866,plain,
( sk_c12 != multiply(sk_c11,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_36 ),
inference(superposition,[],[f1863,f169]) ).
fof(f1871,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_36 ),
inference(superposition,[],[f1863,f271]) ).
fof(f1877,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_4
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1871,f865]) ).
fof(f1882,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1866,f1499]) ).
fof(f1887,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1877,f1555]) ).
fof(f1891,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1882,f865]) ).
fof(f1895,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1887,f865]) ).
fof(f1896,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1898,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1891,f1499]) ).
fof(f1901,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1898,f865]) ).
fof(f1902,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1909,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1276,f1499]) ).
fof(f1919,plain,
( spl0_30
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1450,f864,f269,f255,f1469]) ).
fof(f1931,plain,
( identity = sk_c12
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1909,f865]) ).
fof(f1955,plain,
( sk_c12 = sk_c10
| ~ spl0_6
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1798,f1931]) ).
fof(f1979,plain,
( sk_c12 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f153,f257]) ).
fof(f1981,plain,
( sk_c12 != sk_c11
| sk_c12 != sk_c10
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1979,f271]) ).
fof(f1984,plain,
( ~ spl0_51
| ~ spl0_36
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1981,f269,f255,f152,f1498,f1749]) ).
fof(f1985,plain,
( sk_c12 != sk_c10
| inverse(sk_c12) != sk_c11
| ~ spl0_2
| ~ spl0_31 ),
inference(superposition,[],[f153,f1474]) ).
fof(f1989,plain,
( sk_c12 != sk_c10
| ~ spl0_2
| ~ spl0_7
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1985,f169]) ).
fof(f1990,plain,
( ~ spl0_51
| ~ spl0_2
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1989,f1473,f168,f152,f1749]) ).
fof(f2022,plain,
( sk_c12 = sk_c3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1442,f1495]) ).
fof(f2023,plain,
( spl0_54
| ~ spl0_19
| ~ spl0_20
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2022,f1494,f241,f227,f1821]) ).
fof(f2026,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_35
| ~ spl0_54 ),
inference(superposition,[],[f1495,f1822]) ).
fof(f2047,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f315,f1442]) ).
fof(f2049,plain,
( identity = sk_c11
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2047,f3]) ).
fof(f2075,plain,
( multiply(sk_c12,sk_c12) = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f1444,f1276]) ).
fof(f2082,plain,
( multiply(sk_c1,sk_c11) = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2075,f2049]) ).
fof(f2084,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2082,f257]) ).
fof(f2093,plain,
( ~ spl0_30
| spl0_23
| ~ spl0_31
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1463,f269,f149,f1473,f861,f1469]) ).
fof(f2112,plain,
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_7
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1076,f169]) ).
fof(f2115,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1955,f1498,f864,f168,f164,f1749]) ).
fof(f2117,plain,
( spl0_31
| ~ spl0_35
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f2026,f1821,f1494,f1473]) ).
fof(f2124,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2084,f255,f241,f227,f168,f864]) ).
fof(f2129,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_7
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2112,f861,f269,f168,f1498,f1469]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f171]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f200]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f205]) ).
cnf(s16,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s17,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f235]) ).
cnf(s26,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f248]) ).
cnf(s27,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f249]) ).
cnf(s36,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f262]) ).
cnf(s37,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f263]) ).
cnf(s40,plain,
( spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f266]) ).
cnf(s41,plain,
( spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f267]) ).
cnf(s46,plain,
( spl0_13
| spl0_22 ),
inference(sat_conversion,[],[f276]) ).
cnf(s47,plain,
( spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f277]) ).
cnf(s50,plain,
( spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f280]) ).
cnf(s51,plain,
( spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f281]) ).
cnf(s56,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f286]) ).
cnf(s57,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f287]) ).
cnf(s58,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f288]) ).
cnf(s59,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f289]) ).
cnf(s60,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f290]) ).
cnf(s61,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f291]) ).
cnf(s63,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f293]) ).
cnf(s64,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f294]) ).
cnf(s65,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f295]) ).
cnf(s66,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f296]) ).
cnf(s67,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f297]) ).
cnf(s70,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f300]) ).
cnf(s71,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f301]) ).
cnf(s72,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f462]) ).
cnf(s73,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f566]) ).
cnf(s117,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| spl0_24 ),
inference(sat_conversion,[],[f924]) ).
cnf(s131,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s142,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s153,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s162,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s168,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s176,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s209,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_24
| spl0_36 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s228,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22
| spl0_31 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s229,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| spl0_24 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s242,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s255,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| spl0_30 ),
inference(sat_conversion,[],[f1706]) ).
cnf(s265,plain,
( ~ spl0_9
| spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s269,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_36
| spl0_51 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s271,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1830]) ).
cnf(s272,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s275,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s276,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s279,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s281,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f1902]) ).
cnf(s283,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_24
| spl0_30 ),
inference(sat_conversion,[],[f1919]) ).
cnf(s297,plain,
( ~ spl0_2
| ~ spl0_21
| ~ spl0_22
| ~ spl0_36
| ~ spl0_51 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s298,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_31
| ~ spl0_51 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s301,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_35
| spl0_54 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s307,plain,
( ~ spl0_1
| ~ spl0_22
| spl0_23
| ~ spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s313,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_24
| ~ spl0_36
| spl0_51 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s316,plain,
( spl0_31
| ~ spl0_35
| ~ spl0_54 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s325,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| spl0_24 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s329,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_23
| ~ spl0_30
| ~ spl0_36 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s333,plain,
spl0_6,
inference(rat,[],[s72,s56,s57,s58,s59,s60,s61]) ).
cnf(s334,plain,
spl0_7,
inference(rat,[],[s73,s63,s64,s65,s66,s67,s70,s71]) ).
cnf(s336,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s271,s209,s229,s41,s51]) ).
cnf(s337,plain,
( ~ spl0_18
| ~ spl0_14
| ~ spl0_5
| ~ spl0_13 ),
inference(rat,[],[s271,s209,s229,s40,s50,s162]) ).
cnf(s338,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s337,s336]) ).
cnf(s339,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s272,s209,s325,s17,s27,s37,s47,s334]) ).
cnf(s340,plain,
( ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s272,s209,s325,s16,s26,s36,s46,s338,s334]) ).
cnf(s341,plain,
~ spl0_5,
inference(rat,[],[s340,s339]) ).
cnf(s342,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s279,s209,s229]) ).
cnf(s343,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s176,s117,s50,s51,s334]) ).
cnf(s344,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s176,s40,s41,s342,s229,s343]) ).
cnf(s345,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s281,s209,s325,s17,s27,s37,s47,s334]) ).
cnf(s346,plain,
( ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s281,s209,s325,s16,s26,s36,s46,s344,s334]) ).
cnf(s347,plain,
~ spl0_4,
inference(rat,[],[s346,s345]) ).
cnf(s348,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s275,s209,s229]) ).
cnf(s349,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s153,s50,s51]) ).
cnf(s350,plain,
( ~ spl0_22
| ~ spl0_14
| ~ spl0_3
| ~ spl0_13 ),
inference(rat,[],[s153,s40,s41,s348]) ).
cnf(s351,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s350,s349]) ).
cnf(s352,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s276,s209,s325,s17,s27,s37,s47,s334]) ).
cnf(s353,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s276,s209,s325,s16,s26,s36,s46,s351,s334]) ).
cnf(s354,plain,
~ spl0_3,
inference(rat,[],[s353,s352]) ).
cnf(s355,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s269,s298,s209,s228,s229,s333,s334]) ).
cnf(s356,plain,
( spl0_21
| ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s168,s40,s41,s333]) ).
cnf(s357,plain,
( ~ spl0_21
| ~ spl0_14
| ~ spl0_2
| ~ spl0_13 ),
inference(rat,[],[s168,s50,s51,s355,s333]) ).
cnf(s358,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s357,s356]) ).
cnf(s359,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s313,s297,s209,s325,s17,s27,s37,s47,s333,s334]) ).
cnf(s360,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s313,s297,s209,s325,s16,s26,s36,s46,s358,s334,s333]) ).
cnf(s361,plain,
~ spl0_2,
inference(rat,[],[s360,s359]) ).
cnf(s362,plain,
spl0_1,
inference(rat,[],[s1,s334,s341,s347,s333,s354,s361]) ).
cnf(s363,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s242,s307,s209,s255,s228,s229,s334,s362]) ).
cnf(s364,plain,
( ~ spl0_18
| ~ spl0_17
| ~ spl0_13
| ~ spl0_14 ),
inference(rat,[],[s131,s142,s117,s334,s362]) ).
cnf(s365,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s364,s50,s51]) ).
cnf(s366,plain,
( ~ spl0_22
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s364,s40,s41,s363]) ).
cnf(s367,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s366,s365]) ).
cnf(s368,plain,
spl0_14,
inference(rat,[],[s316,s301,s307,s265,s329,s209,s283,s325,s7,s17,s27,s37,s47,s362,s334]) ).
cnf(s369,plain,
~ spl0_13,
inference(rat,[],[s367,s368]) ).
cnf(s370,plain,
spl0_22,
inference(rat,[],[s46,s369]) ).
cnf(s371,plain,
spl0_21,
inference(rat,[],[s36,s369]) ).
cnf(s372,plain,
spl0_20,
inference(rat,[],[s26,s369]) ).
cnf(s373,plain,
spl0_19,
inference(rat,[],[s16,s369]) ).
cnf(s374,plain,
spl0_9,
inference(rat,[],[s6,s369]) ).
cnf(s375,plain,
spl0_24,
inference(rat,[],[s325,s372,s371,s334,s373]) ).
cnf(s376,plain,
spl0_30,
inference(rat,[],[s283,s371,s370,s375]) ).
cnf(s377,plain,
spl0_36,
inference(rat,[],[s209,s371,s370,s375]) ).
cnf(s381,plain,
~ spl0_23,
inference(rat,[],[s329,s376,s370,s334,s377]) ).
cnf(s382,plain,
spl0_35,
inference(rat,[],[s265,s374,s377]) ).
cnf(s384,plain,
~ spl0_31,
inference(rat,[],[s307,s376,s370,s362,s381]) ).
cnf(s385,plain,
spl0_54,
inference(rat,[],[s301,s373,s372,s382]) ).
cnf(s387,plain,
$false,
inference(rat,[],[s316,s382,s385,s384]) ).
fof(f2133,plain,
$false,
inference(avatar_sat_refutation,[],[s387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP382-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:02:52 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.69/1.42 % (3306521)Input is clausal, will run a generic CNF schedule.
% 1.69/1.42 % (3306534)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1522813875:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.69/1.42 % (3306538)dis-21_1_sil=8000:lcm=predicate:random_seed=795772809:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.69/1.42 % (3306535)lrs+10_1_sil=8000:sp=occurrence:random_seed=4188409244:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.69/1.42 % (3306532)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2355954270:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.69/1.42 % (3306533)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3952304922:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.69/1.42 % (3306536)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1999953026:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.69/1.42 % (3306537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4050843190:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.69/1.42 % (3306538)Refutation not found, incomplete strategy
% 1.69/1.42 % (3306538)------------------------------
% 1.69/1.42 % (3306538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.42 % (3306538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.42 % (3306538)CaDiCaL version: 2.1.3
% 1.69/1.42 % (3306538)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.42 % (3306538)Time elapsed: 0.002 s
% 1.69/1.42 % (3306538)Peak memory usage: 88 MB
% 1.69/1.42 % (3306538)Instructions burned: 3 (million)
% 1.69/1.42 % (3306535)Refutation not found, incomplete strategy
% 1.69/1.42 % (3306535)------------------------------
% 1.69/1.42 % (3306535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.42 % (3306535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.42 % (3306535)CaDiCaL version: 2.1.3
% 1.69/1.42 % (3306535)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.42 % (3306535)Time elapsed: 0.004 s
% 1.69/1.42 % (3306535)Peak memory usage: 88 MB
% 1.69/1.42 % (3306535)Instructions burned: 6 (million)
% 1.69/1.42 % (3306537)First to succeed.
% 1.69/1.42 % (3306537)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3306521"
% 1.69/1.42 % (3306536)Instruction limit reached!
% 1.69/1.42 % (3306536)------------------------------
% 1.69/1.42 % (3306536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.42 % (3306536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.42 % (3306536)CaDiCaL version: 2.1.3
% 1.69/1.42 % (3306536)Termination reason: Instruction limit
% 1.69/1.42 % (3306536)Termination phase: Saturation
% 1.69/1.42 % (3306536)Time elapsed: 0.065 s
% 1.69/1.42 % (3306536)Peak memory usage: 89 MB
% 1.69/1.42 % (3306536)Instructions burned: 115 (million)
% 1.69/1.42 % (3306594)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1803746955:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 1.69/1.42 % (3306594)Refutation not found, incomplete strategy
% 1.69/1.42 % (3306594)------------------------------
% 1.69/1.42 % (3306594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.69/1.42 % (3306594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/1.42 % (3306594)CaDiCaL version: 2.1.3
% 1.69/1.42 % (3306594)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.42 % (3306594)Time elapsed: 0.004 s
% 1.69/1.42 % (3306594)Peak memory usage: 88 MB
% 1.69/1.42 % (3306594)Instructions burned: 6 (million)
% 1.69/1.42 % (3306535)------------------------------
% 1.69/1.42 % (3306535)------------------------------
% 1.69/1.42 % (3306538)------------------------------
% 1.69/1.42 % (3306538)------------------------------
% 1.69/1.42 % (3306537)Refutation found. Thanks to Tanya!
% 1.69/1.42 % SZS status Unsatisfiable for theBenchmark
% 1.69/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.51 % (3306537)------------------------------
% 3.72/1.51 % (3306537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.51 % (3306537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.51 % (3306537)CaDiCaL version: 2.1.3
% 3.72/1.51 % (3306537)Termination reason: Refutation
% 3.72/1.51 % (3306537)Time elapsed: 0.040 s
% 3.72/1.51 % (3306537)Peak memory usage: 90 MB
% 3.72/1.51 % (3306537)Instructions burned: 64 (million)
% 3.72/1.51 % (3306537)------------------------------
% 3.72/1.51 % (3306537)------------------------------
% 3.72/1.51 % (3306521)Success in time 0.423 s
% 3.72/1.51 % Vampire exiting
%------------------------------------------------------------------------------