%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP316-1 : 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 : n012.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 10:17:28 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 51
% Syntax : Number of formulae : 342 ( 24 unt; 17 def)
% Number of atoms : 1141 ( 322 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1517 ( 718 ~; 782 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 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_c7,sk_c8) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = 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_c3) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(X4,sk_c6) != sk_c8
| inverse(X4) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,X2)
| multiply(X3,sk_c8) != X2
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f85,f82,f79,f75,f72,f69]) ).
fof(f90,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f94,f90]) ).
fof(f99,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f100,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f99]) ).
fof(f104,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f94,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c4 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f109]) ).
fof(f114,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f114]) ).
fof(f118,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f94,f75]) ).
fof(f120,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f120,f90]) ).
fof(f124,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f120,f99]) ).
fof(f125,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f120,f104]) ).
fof(f126,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f120,f109]) ).
fof(f127,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f120,f114]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f120,f75]) ).
fof(f130,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f130,f90]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f130,f99]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f130,f104]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f130,f109]) ).
fof(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f130,f114]) ).
fof(f138,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f130,f75]) ).
fof(f140,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f140,f90]) ).
fof(f144,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f140,f99]) ).
fof(f145,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f140,f104]) ).
fof(f146,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f140,f109]) ).
fof(f147,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f140,f114]) ).
fof(f148,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f140,f75]) ).
fof(f149,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f85,f90]) ).
fof(f150,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f99]) ).
fof(f151,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f104]) ).
fof(f152,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f109]) ).
fof(f153,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f114]) ).
fof(f154,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f75]) ).
fof(f155,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f76]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f101]) ).
fof(f164,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f171,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f168,f101]) ).
fof(f174,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f171,f76]) ).
fof(f180,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f101,f174]) ).
fof(f183,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f161,f116]) ).
fof(f190,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f183,f174]) ).
fof(f203,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f163,f76]) ).
fof(f212,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f203,f180]) ).
fof(f223,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f164,f3]) ).
fof(f224,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f164,f164]) ).
fof(f227,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f164,f212]) ).
fof(f233,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f164,f161]) ).
fof(f234,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f164,f111]) ).
fof(f245,plain,
( sk_c8 = multiply(sk_c8,sk_c4)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f234,f106]) ).
fof(f246,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f233,f174]) ).
fof(f250,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f227,f3]) ).
fof(f251,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f223,f224]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f246,f164]) ).
fof(f256,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f251,f250]) ).
fof(f259,plain,
( sk_c7 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f116,f245]) ).
fof(f261,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f161,f245]) ).
fof(f265,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f261,f190]) ).
fof(f268,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f259]) ).
fof(f269,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f268,f212]) ).
fof(f270,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f269,f256]) ).
fof(f271,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f180,f259]) ).
fof(f273,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f87,f259]) ).
fof(f274,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f273,f212]) ).
fof(f276,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f271,f256]) ).
fof(f277,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f274,f270]) ).
fof(f278,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f280,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f80,f259]) ).
fof(f282,plain,
( ! [X1] :
( sk_c6 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f256]) ).
fof(f283,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f282,f174]) ).
fof(f284,plain,
( ! [X1] :
( sk_c8 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f283,f259]) ).
fof(f285,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != X1 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f284,f259]) ).
fof(f286,plain,
( sk_c8 != sk_c6
| sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f285,f92]) ).
fof(f289,plain,
( sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f286,f270]) ).
fof(f290,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f289,f276]) ).
fof(f291,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f311,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f132]) ).
fof(f348,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f96]) ).
fof(f360,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f80,f122]) ).
fof(f361,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f360]) ).
fof(f362,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f361,f96]) ).
fof(f363,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f378,definition,
( spl0_19
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f379,plain,
( sk_c7 = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( sk_c7 != sk_c6
| spl0_19 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f411,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f432,plain,
( identity != sk_c8
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_1 ),
inference(superposition,[],[f70,f3]) ).
fof(f433,plain,
( sk_c8 != sk_c8
| sk_c6 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f70,f101]) ).
fof(f434,plain,
( sk_c6 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f435,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f434,f92]) ).
fof(f436,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f450,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c7 != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f83,f256]) ).
fof(f451,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f450,f259]) ).
fof(f459,plain,
( sk_c8 != sk_c6
| sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f451,f92]) ).
fof(f471,plain,
( sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f459,f270]) ).
fof(f476,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f471,f276]) ).
fof(f477,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f478,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f73,f254]) ).
fof(f479,plain,
( ! [X3] :
( sk_c7 != X3
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f478,f256]) ).
fof(f480,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != X3 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f479,f259]) ).
fof(f493,plain,
( sk_c8 != sk_c6
| sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f480,f92]) ).
fof(f505,plain,
( sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f493,f270]) ).
fof(f510,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f505,f276]) ).
fof(f511,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f513,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f174,f99,f90,f75,f378]) ).
fof(f516,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f76,f379]) ).
fof(f535,definition,
( spl0_21
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f536,plain,
( sk_c7 = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f537,plain,
( sk_c7 != sk_c8
| spl0_21 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f546,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_14 ),
inference(superposition,[],[f164,f311]) ).
fof(f549,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f546,f251]) ).
fof(f552,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f164,f348]) ).
fof(f555,plain,
( sk_c2 = inverse(sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f552,f251]) ).
fof(f558,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_14 ),
inference(superposition,[],[f3,f549]) ).
fof(f559,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f558,f142]) ).
fof(f561,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f559,f250]) ).
fof(f562,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f561,f537]) ).
fof(f563,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f568,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f86,f536]) ).
fof(f591,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f77,f379]) ).
fof(f597,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f559,f536]) ).
fof(f598,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f568,f379]) ).
fof(f601,plain,
( sk_c7 != sk_c6
| spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f591,f86]) ).
fof(f605,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f598,f536]) ).
fof(f607,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f601,f379]) ).
fof(f608,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f615,plain,
( sk_c8 = multiply(sk_c6,sk_c5)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f411,f597]) ).
fof(f642,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1,f559]) ).
fof(f648,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f3,f555]) ).
fof(f649,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f648,f122]) ).
fof(f651,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f649,f559]) ).
fof(f652,plain,
( $false
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f651,f380]) ).
fof(f653,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f654,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f516,f642]) ).
fof(f657,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f654,f537]) ).
fof(f658,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f662,plain,
( sk_c8 = multiply(sk_c7,sk_c5)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f615,f379]) ).
fof(f664,plain,
( sk_c8 = sk_c5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f662,f642]) ).
fof(f669,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f76]) ).
fof(f670,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f669,f379]) ).
fof(f672,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f670,f642]) ).
fof(f674,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f672,f642]) ).
fof(f681,plain,
( sk_c8 != multiply(sk_c5,sk_c7)
| spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f100,f379]) ).
fof(f682,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| spl0_9
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f681,f536]) ).
fof(f683,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_7
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f682,f664]) ).
fof(f684,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f683,f605]) ).
fof(f685,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f718,plain,
( identity != sk_c7
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5 ),
inference(superposition,[],[f83,f3]) ).
fof(f730,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f718,f559]) ).
fof(f740,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f730,f549]) ).
fof(f746,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f740,f132]) ).
fof(f747,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f751,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f73,f674]) ).
fof(f752,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f751,f536]) ).
fof(f762,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f752,f3]) ).
fof(f772,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f762,f597]) ).
fof(f778,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f772,f549]) ).
fof(f783,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f778,f132]) ).
fof(f784,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f791,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f432,f597]) ).
fof(f794,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f791,f379]) ).
fof(f797,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f794,f555]) ).
fof(f800,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f797,f96]) ).
fof(f801,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f800]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s21,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f278]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f291]) ).
cnf(s35,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f363]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f436]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f477]) ).
cnf(s50,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f511]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f513]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f563]) ).
cnf(s58,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f608]) ).
cnf(s62,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f653]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f658]) ).
cnf(s65,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f685]) ).
cnf(s73,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f747]) ).
cnf(s78,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f784]) ).
cnf(s81,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f801]) ).
cnf(s83,plain,
spl0_3,
inference(rat,[],[s62,s58,s7,s13,s19,s25,s31]) ).
cnf(s84,plain,
spl0_6,
inference(rat,[],[s32,s26,s27,s28,s29,s30,s83]) ).
cnf(s85,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s73,s18,s24]) ).
cnf(s86,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s73,s17,s23]) ).
cnf(s87,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s73,s16,s22]) ).
cnf(s88,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s73,s15,s21]) ).
cnf(s89,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(rat,[],[s73,s14,s20,s45,s83]) ).
cnf(s90,plain,
~ spl0_5,
inference(rat,[],[s89,s88,s87,s86,s85]) ).
cnf(s91,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s35,s6,s12]) ).
cnf(s92,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s35,s5,s11]) ).
cnf(s93,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s35,s4,s10]) ).
cnf(s94,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s35,s3,s9]) ).
cnf(s95,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(rat,[],[s35,s2,s8,s33,s83]) ).
cnf(s96,plain,
~ spl0_4,
inference(rat,[],[s95,s94,s93,s92,s91]) ).
cnf(s97,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s55,s78,s18,s24,s51,s83]) ).
cnf(s98,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s55,s78,s17,s23,s51,s83]) ).
cnf(s99,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s55,s78,s16,s22,s50,s98,s97,s51,s83]) ).
cnf(s100,plain,
( ~ spl0_19
| ~ spl0_15
| ~ spl0_14
| ~ spl0_7
| spl0_9 ),
inference(rat,[],[s63,s65,s84,s83]) ).
cnf(s101,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s100,s62,s3,s9,s15,s21,s99]) ).
cnf(s102,plain,
( ~ spl0_19
| ~ spl0_14
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s63,s78,s83]) ).
cnf(s103,plain,
~ spl0_2,
inference(rat,[],[s102,s62,s2,s8,s14,s20,s101]) ).
cnf(s104,plain,
spl0_1,
inference(rat,[],[s1,s84,s90,s83,s96,s103]) ).
cnf(s105,plain,
~ spl0_7,
inference(rat,[],[s62,s100,s3,s9,s15,s21,s38,s104]) ).
cnf(s106,plain,
spl0_15,
inference(rat,[],[s20,s105]) ).
cnf(s107,plain,
spl0_14,
inference(rat,[],[s14,s105]) ).
cnf(s108,plain,
spl0_13,
inference(rat,[],[s8,s105]) ).
cnf(s109,plain,
spl0_8,
inference(rat,[],[s2,s105]) ).
cnf(s110,plain,
spl0_19,
inference(rat,[],[s62,s109,s106,s107,s108]) ).
cnf(s111,plain,
spl0_21,
inference(rat,[],[s63,s106,s107,s83,s110]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s81,s109,s107,s106,s104,s111,s110]) ).
fof(f804,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP316-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 09:49:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.07/0.36 % (2126163)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2126169)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2126168)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2477237012_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2126171)dis+10_1_sil=32000:sp=arity:random_seed=3884326722:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2126172)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2236201527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2126169)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3645041201:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2126170)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=118691431:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2126173)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2736322903:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2126174)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4015523308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % TRYING [1]
% 0.07/0.36 % TRYING [2]
% 0.07/0.36 % TRYING [3]
% 0.07/0.36 % TRYING [4]
% 0.07/0.36 % (2126172) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2126163-2126172"...
% 0.07/0.36 % (2126173) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2126163-2126173"...
% 0.07/0.36 % (2126171) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2126163-2126171"...
% 0.07/0.36 % (2126172)...printing done.
% 0.07/0.36 % TRYING [5]
% 0.07/0.36 % (2126172)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2126172)------------------------------
% 0.07/0.36 % (2126172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2126172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2126172)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2126172)Termination reason: Refutation
% 0.07/0.36 % (2126172)Time elapsed: 0.009 s
% 0.07/0.36 % (2126172)Peak memory usage: 12 MB
% 0.07/0.36 % (2126172)Instructions burned: 27 (million)
% 0.07/0.36 % (2126163)Success in time 0.034 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------