%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP298-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : 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 10:17:25 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 39
% Syntax : Number of formulae : 227 ( 17 unt; 15 def)
% Number of atoms : 666 ( 226 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 813 ( 374 ~; 424 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f53,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,X4) != sk_c7
| inverse(X3) != X4
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c6) ),
inference(equality_resolution,[],[f70]) ).
fof(f73,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c7 != multiply(inverse(X3),sk_c6)
| sk_c7 != multiply(X3,inverse(X3)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f77,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f84,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f71,f90,f83,f86,f83,f79,f76,f73]) ).
fof(f110,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f62,f86,f110]) ).
fof(f115,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f60,f86,f115]) ).
fof(f119,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f58,f86,f79]) ).
fof(f121,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f56,f86,f121]) ).
fof(f126,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f86,f126]) ).
fof(f131,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f137,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f131,f110]) ).
fof(f138,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f131,f115]) ).
fof(f139,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f131,f79]) ).
fof(f140,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f131,f121]) ).
fof(f141,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f131,f126]) ).
fof(f143,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f145,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f149,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f143,f110]) ).
fof(f150,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f143,f115]) ).
fof(f151,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f143,f79]) ).
fof(f152,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f143,f121]) ).
fof(f153,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f143,f126]) ).
fof(f157,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f90,f110]) ).
fof(f158,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f90,f115]) ).
fof(f159,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f90,f79]) ).
fof(f160,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f90,f121]) ).
fof(f161,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f90,f126]) ).
fof(f163,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f117]) ).
fof(f164,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f123]) ).
fof(f166,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f128]) ).
fof(f172,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f164]) ).
fof(f176,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f168,f80]) ).
fof(f178,plain,
( multiply(sk_c2,identity) = multiply(sk_c7,sk_c3)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f168,f163]) ).
fof(f198,plain,
( multiply(sk_c8,sk_c7) = multiply(identity,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f172,f128]) ).
fof(f202,plain,
( sk_c6 != multiply(identity,sk_c8)
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f92,f198]) ).
fof(f203,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c2,multiply(identity,sk_c8))
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f168,f198]) ).
fof(f205,plain,
( sk_c8 != sk_c6
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f202,f1]) ).
fof(f244,plain,
( multiply(identity,sk_c2) = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f166,f164]) ).
fof(f245,plain,
( multiply(inverse(sk_c8),identity) = multiply(identity,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f166,f163]) ).
fof(f262,plain,
( multiply(identity,sk_c2) = multiply(identity,sk_c3)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f244,f245]) ).
fof(f274,plain,
( sk_c3 = multiply(identity,sk_c2)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1,f262]) ).
fof(f278,plain,
( sk_c2 = sk_c3
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1,f274]) ).
fof(f281,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f112,f278]) ).
fof(f288,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f176,f281]) ).
fof(f367,plain,
( multiply(sk_c2,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f203,f1]) ).
fof(f374,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f128,f367]) ).
fof(f381,plain,
( multiply(identity,sk_c7) = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f166,f374]) ).
fof(f398,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f381]) ).
fof(f403,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1,f398]) ).
fof(f421,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f281,f403]) ).
fof(f422,plain,
( sk_c8 = multiply(identity,sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f288,f403]) ).
fof(f447,plain,
( sk_c8 = multiply(sk_c7,sk_c3)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f178,f421]) ).
fof(f453,plain,
( sk_c8 = multiply(identity,sk_c3)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f447,f403]) ).
fof(f482,plain,
( sk_c8 = sk_c3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1,f453]) ).
fof(f495,plain,
( sk_c8 = sk_c2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f278,f482]) ).
fof(f511,plain,
( sk_c3 = multiply(identity,sk_c8)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f274,f495]) ).
fof(f576,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1,f422]) ).
fof(f585,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f205,f576]) ).
fof(f588,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f589,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f594,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f198,f91]) ).
fof(f609,plain,
( sk_c6 = sk_c3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f511,f594]) ).
fof(f633,plain,
( sk_c6 = sk_c2
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f278,f609]) ).
fof(f641,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f128,f633]) ).
fof(f661,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f641,f126,f121,f115,f110,f90,f86]) ).
fof(f671,plain,
( multiply(identity,sk_c8) = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f166,f145]) ).
fof(f672,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f145]) ).
fof(f718,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f77,f117]) ).
fof(f720,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f718]) ).
fof(f733,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f720,f115,f76,f110]) ).
fof(f746,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f84,f128]) ).
fof(f747,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f84,f145]) ).
fof(f753,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f747]) ).
fof(f754,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f771,definition,
( spl0_21
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f772,plain,
( identity = sk_c7
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f784,plain,
( ~ spl0_12
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f754,f126,f83,f121]) ).
fof(f786,definition,
( spl0_24
<=> sk_c7 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f787,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f878,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f74,f123]) ).
fof(f900,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f878,f121,f73,f79,f126]) ).
fof(f903,definition,
( spl0_35
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f917,plain,
( multiply(sk_c8,sk_c7) = multiply(identity,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f671,f133]) ).
fof(f1010,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f672,f91]) ).
fof(f1096,plain,
( multiply(identity,sk_c7) = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_24 ),
inference(superposition,[],[f166,f787]) ).
fof(f1179,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f91,f917]) ).
fof(f1189,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1,f1179]) ).
fof(f1193,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f81,f1189]) ).
fof(f1194,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f87,f1189]) ).
fof(f1206,plain,
( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1010,f1189]) ).
fof(f1211,plain,
( spl0_35
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1194,f143,f131,f90,f86,f903]) ).
fof(f1212,plain,
( ~ spl0_35
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1193,f143,f131,f90,f79,f903]) ).
fof(f1221,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f672,f80]) ).
fof(f1251,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f74,f133]) ).
fof(f1255,plain,
( ~ spl0_15
| ~ spl0_3
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1251,f131,f73,f79,f143]) ).
fof(f1259,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f753,f143,f83,f131]) ).
fof(f1295,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_24 ),
inference(superposition,[],[f3,f1096]) ).
fof(f1300,plain,
( identity = sk_c7
| ~ spl0_24 ),
inference(superposition,[],[f1,f1295]) ).
fof(f1304,plain,
( spl0_21
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1300,f786,f771]) ).
fof(f1327,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f77,f133]) ).
fof(f1328,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1327]) ).
fof(f1332,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1328,f1221]) ).
fof(f1375,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f145,f1206]) ).
fof(f1380,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1375,f143,f131,f90,f786]) ).
fof(f1406,plain,
( sk_c8 != multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1332,f772]) ).
fof(f1585,plain,
( sk_c8 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1406,f1]) ).
fof(f1586,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1585,f1189]) ).
fof(f1587,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1586]) ).
fof(f1588,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
cnf(s1,plain,
( spl0_4
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s6,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s7,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s14,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s15,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s16,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s17,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s18,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s24,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s25,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s26,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s30,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f157]) ).
cnf(s31,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f158]) ).
cnf(s32,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f159]) ).
cnf(s33,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s34,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f161]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f589]) ).
cnf(s36,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f661]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f733]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f784]) ).
cnf(s67,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f900]) ).
cnf(s94,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| spl0_35 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s95,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_35 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s103,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s104,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s107,plain,
( spl0_21
| ~ spl0_24 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s109,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s111,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s114,plain,
spl0_3,
inference(rat,[],[s95,s94,s8,s16,s24,s32]) ).
cnf(s115,plain,
spl0_6,
inference(rat,[],[s35,s30,s31,s33,s34,s114]) ).
cnf(s116,plain,
spl0_5,
inference(rat,[],[s36,s6,s7,s9,s10,s115]) ).
cnf(s118,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s104,s18,s26]) ).
cnf(s119,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s104,s17,s25,s42]) ).
cnf(s120,plain,
~ spl0_4,
inference(rat,[],[s119,s118]) ).
cnf(s122,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s38,s22,s23]) ).
cnf(s123,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s38,s14,s15]) ).
cnf(s124,plain,
~ spl0_2,
inference(rat,[],[s107,s111,s109,s123,s122,s114,s115]) ).
cnf(s125,plain,
spl0_1,
inference(rat,[],[s2,s114,s116,s115,s120,s124]) ).
cnf(s127,plain,
spl0_13,
inference(rat,[],[s103,s18,s26,s125,s114]) ).
cnf(s128,plain,
~ spl0_12,
inference(rat,[],[s67,s114,s125,s127]) ).
cnf(s129,plain,
spl0_15,
inference(rat,[],[s25,s128]) ).
cnf(s130,plain,
spl0_14,
inference(rat,[],[s17,s128]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s103,s114,s125,s129,s130]) ).
fof(f1589,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP298-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:51:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 % (3302547)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3302559)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2055001945:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (3302554)% WARNING: option uhcvi not known.
% 0.11/0.46 % (3302553)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=691988806_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (3302554)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=55503487:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (3302555)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3955298600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (3302556)dis+10_1_sil=32000:sp=arity:random_seed=3327068272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (3302558)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3174323836:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (3302557)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2771975906:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (3302558) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3302547-3302558"...
% 0.11/0.46 % TRYING [5]
% 0.11/0.46 % (3302559) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3302547-3302559"...
% 0.11/0.46 % (3302556) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3302547-3302556"...
% 0.11/0.46 % (3302559)...printing done.
% 0.11/0.46 % (3302558)...printing done.
% 0.11/0.46 % (3302557) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3302547-3302557"...
% 0.11/0.46 % (3302559)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3302559)------------------------------
% 0.11/0.46 % (3302559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3302559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3302559)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3302559)Termination reason: Refutation
% 0.11/0.46 % (3302559)Time elapsed: 0.027 s
% 0.11/0.46 % (3302559)Peak memory usage: 13 MB
% 0.11/0.46 % (3302559)Instructions burned: 78 (million)
% 0.11/0.46 % (3302547)Success in time 0.044 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------