%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP290-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:13:33 AM UTC 2026
% Result : Unsatisfiable 2.30s 1.19s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 46
% Syntax : Number of formulae : 328 ( 19 unt; 17 def)
% Number of atoms : 1104 ( 295 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1508 ( 732 ~; 759 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 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 : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = 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/sandbox/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(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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_c8,sk_c7) != 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/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != 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_c8,sk_c7) != 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_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7) )
| ~ 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_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c8,sk_c7) != 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(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(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(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(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(f156,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
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(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(f169,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f156]) ).
fof(f170,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f169,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(f182,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f161,f174]) ).
fof(f201,plain,
( sk_c8 = multiply(sk_c8,sk_c4)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f170,f111]) ).
fof(f217,plain,
( sk_c8 = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f201,f116]) ).
fof(f230,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f164,f201]) ).
fof(f232,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f164,f156]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f164,f182]) ).
fof(f238,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f164,f76]) ).
fof(f243,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f164,f101]) ).
fof(f250,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f243,f92]) ).
fof(f255,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f238,f174]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f237,f164]) ).
fof(f258,plain,
( identity = sk_c4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f230,f3]) ).
fof(f261,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f255,f3]) ).
fof(f266,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f256,f116]) ).
fof(f271,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f87,f256]) ).
fof(f278,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f271,f174]) ).
fof(f279,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f281,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f80,f174]) ).
fof(f287,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f281,f92]) ).
fof(f294,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f295,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,plain,
( sk_c7 != multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f287,f174]) ).
fof(f299,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f298,f180]) ).
fof(f300,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f299,f99,f90,f79,f75,f294]) ).
fof(f302,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f232,f261]) ).
fof(f303,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f302,f3]) ).
fof(f304,plain,
( sk_c8 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f303,f261]) ).
fof(f308,plain,
( sk_c4 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f111,f304]) ).
fof(f310,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f308,f256]) ).
fof(f322,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f310,f266]) ).
fof(f337,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f122,f174]) ).
fof(f347,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f132]) ).
fof(f348,plain,
( identity = sk_c1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f347,f256]) ).
fof(f350,plain,
( sk_c8 = sk_c1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f348,f261]) ).
fof(f351,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f132,f350]) ).
fof(f360,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f164,f122]) ).
fof(f362,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f360,f96]) ).
fof(f363,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f164,f142]) ).
fof(f365,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f363,f132]) ).
fof(f369,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f80,f96]) ).
fof(f370,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f371,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f370,f122]) ).
fof(f372,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f371]) ).
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(f390,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f164,f250]) ).
fof(f392,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f390,f3]) ).
fof(f394,plain,
( sk_c8 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f392,f258]) ).
fof(f427,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f164,f362]) ).
fof(f429,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f427,f3]) ).
fof(f432,plain,
( sk_c8 = sk_c6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f429,f392]) ).
fof(f461,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f365,f86]) ).
fof(f465,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f365]) ).
fof(f467,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f465,f3]) ).
fof(f470,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f467,f392]) ).
fof(f477,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f470,f140,f130,f99,f90,f294]) ).
fof(f478,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f76,f432]) ).
fof(f479,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f322,f114,f109,f104,f99,f90,f75,f294]) ).
fof(f480,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f174,f432]) ).
fof(f486,plain,
( spl0_17
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f217,f114,f109,f104,f294]) ).
fof(f488,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f480,f120,f99,f94,f90,f75,f294]) ).
fof(f491,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f86,f295]) ).
fof(f504,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f337,f295]) ).
fof(f512,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f478,f295]) ).
fof(f541,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f295]) ).
fof(f543,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f541,f106]) ).
fof(f545,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f541,f132]) ).
fof(f547,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f548,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f551,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f547,f142]) ).
fof(f553,plain,
( sk_c8 != sk_c4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f548,f111]) ).
fof(f558,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f551,f295]) ).
fof(f559,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f560,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f553,f394]) ).
fof(f561,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f584,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c8,multiply(X3,sk_c8)) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f73,f295]) ).
fof(f587,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f584,f106]) ).
fof(f589,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_2
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f584,f132]) ).
fof(f590,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f584,f96]) ).
fof(f591,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_2
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f592,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f587]) ).
fof(f594,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f590,f295]) ).
fof(f595,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f591,f142]) ).
fof(f597,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f592,f170]) ).
fof(f598,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f600,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f594,f504]) ).
fof(f601,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f595,f365]) ).
fof(f602,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f605,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f600,f512]) ).
fof(f606,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f608,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f76,f295]) ).
fof(f610,plain,
( sk_c8 = sk_c6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f379,f295]) ).
fof(f619,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f608,f610]) ).
fof(f632,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f70,f610]) ).
fof(f633,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f632,f610]) ).
fof(f646,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f633,f351]) ).
fof(f647,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f633,f106]) ).
fof(f649,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f633,f132]) ).
fof(f651,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f649]) ).
fof(f652,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f653,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f654,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f651,f142]) ).
fof(f656,plain,
( sk_c8 != sk_c4
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f652,f111]) ).
fof(f657,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f653,f619]) ).
fof(f658,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f659,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f654,f295]) ).
fof(f660,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f661,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f656,f394]) ).
fof(f662,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( sk_c8 != sk_c6
| ~ spl0_17
| spl0_19 ),
inference(forward_demodulation,[],[f380,f295]) ).
fof(f671,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f608,f250]) ).
fof(f678,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f671,f663]) ).
fof(f679,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f697,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f461,f663]) ).
fof(f698,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f723,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f429,f467]) ).
fof(f726,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f723,f461]) ).
fof(f732,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f77,f461]) ).
fof(f735,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f491,f461]) ).
fof(f741,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f726,f140,f130,f120,f94,f85,f294]) ).
fof(f763,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f732,f735]) ).
fof(f771,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f763,f295]) ).
fof(f772,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f771]) ).
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(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(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(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f279]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f300]) ).
cnf(s39,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f372]) ).
cnf(s45,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f477]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f479]) ).
cnf(s51,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f486]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f488]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f559]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f561]) ).
cnf(s65,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f598]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f602]) ).
cnf(s68,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f606]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f658]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f660]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f662]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f679]) ).
cnf(s74,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f698]) ).
cnf(s82,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f741]) ).
cnf(s86,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f772]) ).
cnf(s87,plain,
spl0_3,
inference(rat,[],[s82,s86,s7,s13,s19,s25,s31]) ).
cnf(s88,plain,
spl0_6,
inference(rat,[],[s32,s26,s27,s87]) ).
cnf(s89,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s12,s53,s46,s60,s87]) ).
cnf(s90,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s45,s59,s17,s23]) ).
cnf(s91,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_5
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s45,s59,s16,s22,s89]) ).
cnf(s92,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s82,s59,s9,s15,s21,s92,s88]) ).
cnf(s94,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s60,s51,s3,s4,s5,s6,s93]) ).
cnf(s95,plain,
~ spl0_5,
inference(rat,[],[s82,s59,s2,s8,s14,s20,s94,s88]) ).
cnf(s96,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s34,s51,s9,s10,s11,s12,s87]) ).
cnf(s97,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s34,s51,s3,s4,s5,s6,s39,s96,s87]) ).
cnf(s98,plain,
~ spl0_4,
inference(rat,[],[s39,s2,s8,s97]) ).
cnf(s99,plain,
( spl0_17
| ~ spl0_9
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s51,s10,s11,s12,s53,s87]) ).
cnf(s100,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s10,s68,s65,s99,s87]) ).
cnf(s101,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s82,s66,s9,s15,s21,s100,s88]) ).
cnf(s102,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s65,s46,s3,s4,s5,s6,s101,s87]) ).
cnf(s103,plain,
~ spl0_2,
inference(rat,[],[s82,s66,s2,s8,s14,s20,s102,s88]) ).
cnf(s104,plain,
spl0_1,
inference(rat,[],[s1,s87,s88,s95,s98,s103]) ).
cnf(s105,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s71,s16,s17,s69,s87,s104]) ).
cnf(s106,plain,
( ~ spl0_17
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s105,s73,s87]) ).
cnf(s107,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s106,s99]) ).
cnf(s108,plain,
( ~ spl0_17
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s70,s74,s88,s104]) ).
cnf(s109,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_8
| ~ spl0_15 ),
inference(rat,[],[s108,s82,s88]) ).
cnf(s110,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s109,s9,s15,s21,s107]) ).
cnf(s111,plain,
( ~ spl0_11
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(rat,[],[s106,s46,s87]) ).
cnf(s112,plain,
~ spl0_7,
inference(rat,[],[s111,s3,s4,s5,s6,s110]) ).
cnf(s113,plain,
spl0_15,
inference(rat,[],[s20,s112]) ).
cnf(s114,plain,
spl0_14,
inference(rat,[],[s14,s112]) ).
cnf(s115,plain,
spl0_13,
inference(rat,[],[s8,s112]) ).
cnf(s116,plain,
spl0_8,
inference(rat,[],[s2,s112]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s109,s113,s116,s115,s114]) ).
fof(f774,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP290-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.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 09:51:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.30/1.19 % (3311510)Input is clausal, will run a generic CNF schedule.
% 2.30/1.19 % (3311519)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1465112602:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.30/1.19 % (3311515)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=3379188057:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.30/1.19 % (3311516)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3988519030:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.30/1.19 % (3311517)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1038315975:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.30/1.19 % (3311518)lrs+10_1_sil=8000:sp=occurrence:random_seed=2657344800:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.30/1.19 % (3311519)Instruction limit reached!
% 2.30/1.19 % (3311519)------------------------------
% 2.30/1.19 % (3311519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.19 % (3311519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.19 % (3311519)CaDiCaL version: 2.1.3
% 2.30/1.19 % (3311519)Termination reason: Instruction limit
% 2.30/1.19 % (3311519)Termination phase: Saturation
% 2.30/1.19 % (3311519)Time elapsed: 0.036 s
% 2.30/1.19 % (3311519)Peak memory usage: 89 MB
% 2.30/1.19 % (3311519)Instructions burned: 115 (million)
% 2.30/1.19 % (3311518)Refutation not found, incomplete strategy
% 2.30/1.19 % (3311518)------------------------------
% 2.30/1.19 % (3311518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.19 % (3311518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.19 % (3311518)CaDiCaL version: 2.1.3
% 2.30/1.19 % (3311518)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.19 % (3311518)Time elapsed: 0.004 s
% 2.30/1.19 % (3311518)Peak memory usage: 88 MB
% 2.30/1.19 % (3311518)Instructions burned: 4 (million)
% 2.30/1.19 % (3311520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=632470496:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.30/1.19 % (3311521)dis-21_1_sil=8000:lcm=predicate:random_seed=2585667671: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)
% 2.30/1.19 % (3311521)Refutation not found, incomplete strategy
% 2.30/1.19 % (3311521)------------------------------
% 2.30/1.19 % (3311521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.19 % (3311521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.19 % (3311521)CaDiCaL version: 2.1.3
% 2.30/1.19 % (3311521)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.19 % (3311521)Time elapsed: 0.002 s
% 2.30/1.19 % (3311521)Peak memory usage: 88 MB
% 2.30/1.19 % (3311521)Instructions burned: 2 (million)
% 2.30/1.19 % (3311520)First to succeed.
% 2.30/1.19 % (3311520)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3311510"
% 2.30/1.19 % (3311529)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=767977419:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.30/1.19 % (3311529)Refutation not found, incomplete strategy
% 2.30/1.19 % (3311529)------------------------------
% 2.30/1.19 % (3311529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.19 % (3311529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.19 % (3311529)CaDiCaL version: 2.1.3
% 2.30/1.19 % (3311529)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.19 % (3311529)Time elapsed: 0.004 s
% 2.30/1.19 % (3311529)Peak memory usage: 88 MB
% 2.30/1.19 % (3311529)Instructions burned: 5 (million)
% 2.30/1.19 % (3311520)Refutation found. Thanks to Tanya!
% 2.30/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.30/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.29 % (3311520)------------------------------
% 2.79/1.29 % (3311520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.29 % (3311520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.29 % (3311520)CaDiCaL version: 2.1.3
% 2.79/1.29 % (3311520)Termination reason: Refutation
% 2.79/1.29 % (3311520)Time elapsed: 0.011 s
% 2.79/1.29 % (3311520)Peak memory usage: 89 MB
% 2.79/1.29 % (3311520)Instructions burned: 28 (million)
% 2.79/1.29 % (3311520)------------------------------
% 2.79/1.29 % (3311520)------------------------------
% 2.79/1.29 % (3311510)Success in time 0.33 s
% 2.79/1.29 % Vampire exiting
%------------------------------------------------------------------------------