%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP349-1 : 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 : n005.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 10:13:43 AM UTC 2026
% Result : Unsatisfiable 2.63s 1.29s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 62
% Syntax : Number of formulae : 329 ( 21 unt; 22 def)
% Number of atoms : 973 ( 345 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1145 ( 501 ~; 622 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 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,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f37,negated_conjecture,
( inverse(sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( inverse(sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c10)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c10) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c10)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c10) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c10)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c10) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = inverse(sk_c10)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f69,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f89,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f101,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f109]) ).
fof(f117,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f120,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f122,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f126,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f125]) ).
fof(f133,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c10
| inverse(sk_c10) != sk_c8
| multiply(X0,X1) != sk_c9
| inverse(X0) != X1
| multiply(X1,sk_c8) != sk_c9
| inverse(X2) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X4) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,X6) != sk_c9
| inverse(X5) != X6
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f134,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| multiply(X0,X1) != sk_c9
| inverse(X0) != X1
| sk_c9 != multiply(X1,sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f133]) ).
fof(f135,plain,
! [X2,X3,X0,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| sk_c9 != multiply(inverse(X0),sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f134]) ).
fof(f136,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c8 != inverse(sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| sk_c9 != multiply(inverse(X0),sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ),
inference(equality_resolution,[],[f135]) ).
fof(f138,definition,
( spl0_1
<=> ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f139,plain,
( ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f142,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f145,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_4
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f149,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,definition,
( spl0_5
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f152,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( sk_c8 != inverse(sk_c10)
| spl0_6 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,definition,
( spl0_7
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f159,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_8
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f163,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| spl0_8 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f136,f162,f158,f154,f138,f151,f148,f144,f141,f138]) ).
fof(f171,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f176,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f178,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f181,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f183,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f186,definition,
( spl0_13
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f188,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f126,f171,f186]) ).
fof(f191,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f193,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f124,f171,f191]) ).
fof(f195,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f122,f171,f144]) ).
fof(f197,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f199,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_15
| spl0_10 ),
inference(avatar_split_clause,[],[f120,f171,f197]) ).
fof(f202,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f204,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_16
| spl0_10 ),
inference(avatar_split_clause,[],[f118,f171,f202]) ).
fof(f207,definition,
( spl0_17
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f209,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f213,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f110,f207,f186]) ).
fof(f214,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f108,f207,f191]) ).
fof(f215,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f106,f207,f144]) ).
fof(f216,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f104,f207,f197]) ).
fof(f217,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f102,f207,f202]) ).
fof(f219,definition,
( spl0_18
<=> sk_c9 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f221,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f227,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f90,f219,f144]) ).
fof(f231,definition,
( spl0_19
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f233,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f239,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f74,f231,f144]) ).
fof(f240,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f72,f231,f197]) ).
fof(f241,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f70,f231,f202]) ).
fof(f243,definition,
( spl0_20
<=> sk_c9 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f245,plain,
( sk_c9 = multiply(sk_c1,sk_c2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f251,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f58,f243,f144]) ).
fof(f252,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f56,f243,f197]) ).
fof(f253,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f54,f243,f202]) ).
fof(f255,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f154,f176]) ).
fof(f256,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f154,f181]) ).
fof(f257,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f154,f186]) ).
fof(f258,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f154,f191]) ).
fof(f260,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f154,f197]) ).
fof(f261,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f154,f202]) ).
fof(f263,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f34,f158,f176]) ).
fof(f264,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f158,f181]) ).
fof(f265,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f158,f186]) ).
fof(f266,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f28,f158,f191]) ).
fof(f267,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f26,f158,f144]) ).
fof(f268,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f24,f158,f197]) ).
fof(f269,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f158,f202]) ).
fof(f271,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f162,f176]) ).
fof(f272,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f162,f181]) ).
fof(f273,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f162,f186]) ).
fof(f274,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f162,f191]) ).
fof(f276,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f8,f162,f197]) ).
fof(f277,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f162,f202]) ).
fof(f278,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f3,f178]) ).
fof(f279,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_14 ),
inference(superposition,[],[f3,f193]) ).
fof(f280,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f199]) ).
fof(f282,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f188]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f204]) ).
fof(f290,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f282,f1]) ).
fof(f292,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f278]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f1]) ).
fof(f294,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f279]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f301,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f293,f183]) ).
fof(f304,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f285,f145]) ).
fof(f316,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f295,f188]) ).
fof(f353,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f290,f301]) ).
fof(f355,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f290,f204]) ).
fof(f357,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f290,f145]) ).
fof(f359,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_15 ),
inference(superposition,[],[f290,f280]) ).
fof(f360,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f290,f279]) ).
fof(f366,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f355,f199]) ).
fof(f368,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f353,f3]) ).
fof(f373,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1,f368]) ).
fof(f386,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f359,f368]) ).
fof(f387,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f386,f357]) ).
fof(f391,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f199,f387]) ).
fof(f394,plain,
( sk_c5 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f360,f368]) ).
fof(f395,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f394,f357]) ).
fof(f399,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f188,f395]) ).
fof(f416,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f304,f387]) ).
fof(f417,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f416,f373]) ).
fof(f458,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f399,f417]) ).
fof(f477,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f391,f458]) ).
fof(f488,plain,
( sk_c10 != sk_c8
| ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f156,f477]) ).
fof(f492,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f488,f458]) ).
fof(f493,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f496,plain,
( sk_c10 != multiply(sk_c9,sk_c10)
| ~ spl0_3
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f164,f458]) ).
fof(f497,plain,
( $false
| ~ spl0_3
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f496,f373]) ).
fof(f498,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f499,plain,
( sk_c10 != sk_c8
| spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f160,f373]) ).
fof(f501,plain,
( $false
| ~ spl0_3
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f499,f458]) ).
fof(f502,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f536,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c5,sk_c8)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f284,f163]) ).
fof(f539,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f536,f316]) ).
fof(f540,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f290,f173]) ).
fof(f541,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f173]) ).
fof(f542,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f540,f209]) ).
fof(f544,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f221]) ).
fof(f545,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c9)
| ~ spl0_20 ),
inference(superposition,[],[f290,f245]) ).
fof(f547,plain,
( sk_c2 = multiply(sk_c2,sk_c9)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f545,f233]) ).
fof(f558,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f295,f539]) ).
fof(f562,plain,
( sk_c10 = sk_c8
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f558,f366]) ).
fof(f599,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f290,f547]) ).
fof(f601,plain,
( identity = sk_c9
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f599,f3]) ).
fof(f605,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c10)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f541,f159]) ).
fof(f610,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f605,f542]) ).
fof(f616,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f544,f542]) ).
fof(f622,plain,
( multiply(sk_c9,sk_c8) = sk_c2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f616,f547]) ).
fof(f625,plain,
( sk_c10 = sk_c2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f622,f159]) ).
fof(f634,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f221,f625]) ).
fof(f642,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f634,f243,f231,f219,f207,f171,f158,f144]) ).
fof(f663,plain,
( sk_c10 != sk_c8
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f149,f155]) ).
fof(f688,definition,
( spl0_23
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f689,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f692,definition,
( spl0_24
<=> sk_c10 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f693,plain,
( sk_c10 = sk_c8
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f698,definition,
( spl0_25
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f699,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f701,plain,
( ~ spl0_25
| ~ spl0_24
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f663,f154,f148,f692,f698]) ).
fof(f725,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f610,f207,f171,f158,f688]) ).
fof(f727,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| ~ spl0_23 ),
inference(superposition,[],[f4,f689]) ).
fof(f776,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c3,sk_c9)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f727,f145]) ).
fof(f787,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f776,f173]) ).
fof(f792,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f787,f159]) ).
fof(f796,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f792,f688,f171,f158,f144,f692]) ).
fof(f797,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f145,f693]) ).
fof(f813,plain,
( spl0_25
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f797,f692,f144,f698]) ).
fof(f815,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c10)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f139,f693]) ).
fof(f828,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_24 ),
inference(superposition,[],[f815,f199]) ).
fof(f833,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c10,inverse(sk_c10))
| ~ spl0_1
| ~ spl0_24 ),
inference(superposition,[],[f815,f3]) ).
fof(f834,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c10))
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f833,f601]) ).
fof(f839,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f834,f155]) ).
fof(f844,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f839,f145]) ).
fof(f845,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f860,plain,
( spl0_24
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f562,f202,f197,f191,f186,f162,f692]) ).
fof(f865,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f828,f699]) ).
fof(f875,plain,
( ~ spl0_16
| ~ spl0_1
| ~ spl0_15
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f865,f698,f692,f197,f138,f202]) ).
fof(f917,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f152,f693]) ).
fof(f918,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c9)
| sk_c10 != inverse(X2) )
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f917,f693]) ).
fof(f919,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f918,f692,f151,f141]) ).
fof(f928,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f142,f193]) ).
fof(f930,plain,
( sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f928]) ).
fof(f934,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f930,f188]) ).
fof(f935,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f938,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f173,f693]) ).
fof(f949,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_17
| ~ spl0_24 ),
inference(forward_demodulation,[],[f209,f693]) ).
fof(f973,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c9)
| ~ spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(superposition,[],[f142,f949]) ).
fof(f976,plain,
( sk_c10 != multiply(sk_c3,sk_c9)
| ~ spl0_2
| ~ spl0_17
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f973]) ).
fof(f1000,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f976,f938]) ).
fof(f1001,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f165]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s1]) ).
cnf(s6,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f189]) ).
cnf(s7,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f194]) ).
cnf(s8,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f195]) ).
cnf(s9,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f200]) ).
cnf(s10,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f205]) ).
cnf(s14,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s15,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f214]) ).
cnf(s16,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f215]) ).
cnf(s17,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f216]) ).
cnf(s18,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f217]) ).
cnf(s24,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f227]) ).
cnf(s32,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f239]) ).
cnf(s33,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f240]) ).
cnf(s34,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f241]) ).
cnf(s40,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f251]) ).
cnf(s41,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f252]) ).
cnf(s42,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s44,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f255]) ).
cnf(s45,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f256]) ).
cnf(s46,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f257]) ).
cnf(s47,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f258]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f260]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f261]) ).
cnf(s52,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f263]) ).
cnf(s53,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f264]) ).
cnf(s54,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f265]) ).
cnf(s55,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f266]) ).
cnf(s56,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f267]) ).
cnf(s57,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f268]) ).
cnf(s58,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f269]) ).
cnf(s60,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f271]) ).
cnf(s61,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f272]) ).
cnf(s62,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f273]) ).
cnf(s63,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f274]) ).
cnf(s65,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f276]) ).
cnf(s66,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f277]) ).
cnf(s67,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f493]) ).
cnf(s68,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f498]) ).
cnf(s69,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f502]) ).
cnf(s73,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f642]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f701]) ).
cnf(s79,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_17
| spl0_23 ),
inference(sat_conversion,[],[f725]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f796]) ).
cnf(s84,plain,
( ~ spl0_3
| ~ spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f813]) ).
cnf(s87,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f845]) ).
cnf(s95,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f860]) ).
cnf(s100,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f875]) ).
cnf(s102,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f919]) ).
cnf(s103,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f935]) ).
cnf(s106,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s107,plain,
spl0_3,
inference(rat,[],[s73,s8,s16,s24,s32,s40,s56]) ).
cnf(s108,plain,
spl0_8,
inference(rat,[],[s68,s60,s61,s62,s63,s65,s66,s107]) ).
cnf(s109,plain,
spl0_7,
inference(rat,[],[s69,s52,s53,s54,s55,s57,s58,s107]) ).
cnf(s110,plain,
spl0_6,
inference(rat,[],[s67,s44,s45,s46,s47,s49,s50,s107]) ).
cnf(s111,plain,
( spl0_17
| spl0_24 ),
inference(rat,[],[s95,s14,s15,s17,s18,s108]) ).
cnf(s112,plain,
( ~ spl0_10
| spl0_24 ),
inference(rat,[],[s79,s81,s111,s109,s107]) ).
cnf(s113,plain,
spl0_24,
inference(rat,[],[s95,s6,s7,s9,s10,s112,s108]) ).
cnf(s114,plain,
spl0_25,
inference(rat,[],[s84,s107,s113]) ).
cnf(s115,plain,
~ spl0_4,
inference(rat,[],[s78,s114,s110,s113]) ).
cnf(s116,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s2,s102,s108,s109,s115,s107,s110,s113]) ).
cnf(s117,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s103,s14,s15]) ).
cnf(s118,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s103,s6,s7,s106,s113]) ).
cnf(s119,plain,
~ spl0_2,
inference(rat,[],[s118,s117]) ).
cnf(s121,plain,
spl0_1,
inference(rat,[],[s116,s119]) ).
cnf(s122,plain,
spl0_16,
inference(rat,[],[s87,s34,s42,s110,s107,s121,s113]) ).
cnf(s123,plain,
~ spl0_15,
inference(rat,[],[s100,s114,s113,s121,s122]) ).
cnf(s124,plain,
spl0_20,
inference(rat,[],[s41,s123]) ).
cnf(s125,plain,
spl0_19,
inference(rat,[],[s33,s123]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s87,s113,s121,s107,s110,s124,s125]) ).
fof(f1002,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP349-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.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 09:54:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.63/1.29 % (3748215)Input is clausal, will run a generic CNF schedule.
% 2.63/1.29 % (3748224)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=881553781:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.29 % (3748224)Instruction limit reached!
% 2.63/1.29 % (3748224)------------------------------
% 2.63/1.29 % (3748224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.29 % (3748224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.29 % (3748224)CaDiCaL version: 2.1.3
% 2.63/1.29 % (3748224)Termination reason: Instruction limit
% 2.63/1.29 % (3748224)Termination phase: Saturation
% 2.63/1.29 % (3748224)Time elapsed: 0.036 s
% 2.63/1.29 % (3748224)Peak memory usage: 89 MB
% 2.63/1.29 % (3748224)Instructions burned: 115 (million)
% 2.63/1.29 % (3748220)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=622557394:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.29 % (3748221)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1432055964:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.29 % (3748226)dis-21_1_sil=8000:lcm=predicate:random_seed=931433145: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)
% 2.63/1.29 % (3748223)lrs+10_1_sil=8000:sp=occurrence:random_seed=3209371542:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.29 % (3748222)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2302304687:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.29 % (3748225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=213572167:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.29 % (3748226)Refutation not found, incomplete strategy
% 2.63/1.29 % (3748226)------------------------------
% 2.63/1.29 % (3748226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.29 % (3748226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.29 % (3748226)CaDiCaL version: 2.1.3
% 2.63/1.29 % (3748226)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.29 % (3748226)Time elapsed: 0.003 s
% 2.63/1.29 % (3748226)Peak memory usage: 88 MB
% 2.63/1.29 % (3748226)Instructions burned: 3 (million)
% 2.63/1.29 % (3748223)Refutation not found, incomplete strategy
% 2.63/1.29 % (3748223)------------------------------
% 2.63/1.29 % (3748223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.29 % (3748223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.29 % (3748223)CaDiCaL version: 2.1.3
% 2.63/1.29 % (3748223)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.29 % (3748223)Time elapsed: 0.004 s
% 2.63/1.29 % (3748223)Peak memory usage: 88 MB
% 2.63/1.29 % (3748223)Instructions burned: 6 (million)
% 2.63/1.29 % (3748225)First to succeed.
% 2.63/1.29 % (3748225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3748215"
% 2.63/1.29 % (3748228)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=1061487601:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.63/1.29 % (3748228)Refutation not found, incomplete strategy
% 2.63/1.29 % (3748228)------------------------------
% 2.63/1.29 % (3748228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.29 % (3748228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.29 % (3748228)CaDiCaL version: 2.1.3
% 2.63/1.29 % (3748228)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.29 % (3748228)Time elapsed: 0.002 s
% 2.63/1.29 % (3748228)Peak memory usage: 88 MB
% 2.63/1.29 % (3748228)Instructions burned: 6 (million)
% 2.63/1.29 % (3748228)------------------------------
% 2.63/1.29 % (3748228)------------------------------
% 2.63/1.29 % (3748223)------------------------------
% 2.63/1.29 % (3748223)------------------------------
% 2.63/1.29 % (3748226)------------------------------
% 2.63/1.29 % (3748226)------------------------------
% 2.63/1.29 % (3748225)Refutation found. Thanks to Tanya!
% 2.63/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.48 % (3748225)------------------------------
% 3.61/1.48 % (3748225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (3748225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (3748225)CaDiCaL version: 2.1.3
% 3.61/1.48 % (3748225)Termination reason: Refutation
% 3.61/1.48 % (3748225)Time elapsed: 0.025 s
% 3.61/1.48 % (3748225)Peak memory usage: 90 MB
% 3.61/1.48 % (3748225)Instructions burned: 38 (million)
% 3.61/1.48 % (3748225)------------------------------
% 3.61/1.48 % (3748225)------------------------------
% 3.61/1.48 % (3748215)Success in time 0.427 s
% 3.61/1.48 % Vampire exiting
%------------------------------------------------------------------------------