%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP348-1 : 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 : n018.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 10:13:42 AM UTC 2026
% Result : Unsatisfiable 2.96s 1.25s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of formulae : 220 ( 18 unt; 11 def)
% Number of atoms : 756 ( 208 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1007 ( 471 ~; 525 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 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_c5,sk_c6) = sk_c4
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c5) = sk_c6
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c5 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c4) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| sk_c6 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
! [X2,X0,X1] :
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(X0) != sk_c6
| multiply(X0,sk_c5) != sk_c6
| inverse(X1) != sk_c5
| multiply(X1,sk_c4) != sk_c5
| inverse(sk_c4) != sk_c5
| multiply(sk_c4,sk_c5) != sk_c6
| inverse(X2) != sk_c6
| multiply(X2,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
! [X2,X0,X1] :
( multiply(sk_c5,sk_c6) != sk_c4
| inverse(X0) != sk_c6
| sk_c6 != multiply(X0,sk_c5)
| sk_c5 != inverse(X1)
| sk_c5 != multiply(X1,sk_c4)
| sk_c5 != inverse(sk_c4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f48,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f56,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( sk_c5 != inverse(sk_c4)
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_4
<=> ! [X1] :
( sk_c5 != inverse(X1)
| sk_c5 != multiply(X1,sk_c4) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f60,plain,
( ! [X1] :
( sk_c5 != inverse(X1)
| sk_c5 != multiply(X1,sk_c4) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_5
<=> multiply(sk_c5,sk_c6) = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f46,f62,f48,f59,f55,f51,f48]) ).
fof(f67,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c3,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f69,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_7
<=> sk_c5 = multiply(sk_c2,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f71,f67]) ).
fof(f76,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f78,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f71,f76]) ).
fof(f80,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f40,f71,f51]) ).
fof(f81,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f38,f71,f55]) ).
fof(f83,definition,
( spl0_9
<=> sk_c5 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f85,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f36,f83,f67]) ).
fof(f87,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f34,f83,f76]) ).
fof(f88,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f32,f83,f51]) ).
fof(f89,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f30,f83,f55]) ).
fof(f91,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c1,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f91,f67]) ).
fof(f95,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f26,f91,f76]) ).
fof(f96,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f24,f91,f51]) ).
fof(f97,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f22,f91,f55]) ).
fof(f99,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f20,f99,f67]) ).
fof(f103,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f18,f99,f76]) ).
fof(f104,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f16,f99,f51]) ).
fof(f105,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f14,f99,f55]) ).
fof(f106,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f62,f67]) ).
fof(f107,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f62,f76]) ).
fof(f108,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f62,f51]) ).
fof(f109,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f62,f55]) ).
fof(f110,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f3,f56]) ).
fof(f112,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f4,f52]) ).
fof(f115,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f118,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f115,f1]) ).
fof(f120,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f110]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f120,f1]) ).
fof(f124,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f121,f52]) ).
fof(f133,plain,
( sk_c5 != sk_c4
| ~ spl0_2
| ~ spl0_3
| spl0_5 ),
inference(superposition,[],[f64,f124]) ).
fof(f134,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f112,f124]) ).
fof(f136,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f134,f52]) ).
fof(f154,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f118,f69]) ).
fof(f155,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f118,f124]) ).
fof(f156,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_3 ),
inference(superposition,[],[f118,f110]) ).
fof(f160,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f155,f3]) ).
fof(f161,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f154,f78]) ).
fof(f168,plain,
( sk_c5 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f136,f161]) ).
fof(f169,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f156,f160]) ).
fof(f190,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f169,f168]) ).
fof(f191,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f190,f3]) ).
fof(f192,plain,
( sk_c6 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f191,f160]) ).
fof(f193,plain,
( sk_c5 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f192,f168]) ).
fof(f194,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f193,f133]) ).
fof(f195,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f196,plain,
( ! [X2] :
( sk_c5 != inverse(X2)
| sk_c6 != multiply(X2,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f49,f168]) ).
fof(f197,plain,
( sk_c5 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f63,f124]) ).
fof(f198,plain,
( ! [X2] :
( sk_c5 != inverse(X2)
| sk_c5 != multiply(X2,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f196,f168]) ).
fof(f209,plain,
( sk_c5 != sk_c6
| sk_c5 != multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f198,f78]) ).
fof(f211,plain,
( sk_c5 != multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f209,f168]) ).
fof(f213,plain,
( sk_c5 != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f211,f69]) ).
fof(f216,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f213,f168]) ).
fof(f217,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f218,plain,
( ! [X1] :
( sk_c5 != inverse(X1)
| sk_c5 != multiply(X1,sk_c5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f60,f197]) ).
fof(f219,plain,
( sk_c5 != sk_c5
| sk_c5 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f218,f56]) ).
fof(f220,plain,
( sk_c5 != sk_c6
| sk_c5 != multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f218,f78]) ).
fof(f222,plain,
( sk_c5 != multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f220,f168]) ).
fof(f224,plain,
( sk_c5 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f222,f69]) ).
fof(f227,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f224,f168]) ).
fof(f228,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f232,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_11 ),
inference(superposition,[],[f3,f101]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f63]) ).
fof(f237,plain,
( sk_c4 = multiply(inverse(sk_c2),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f118,f73]) ).
fof(f239,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f237,f85]) ).
fof(f240,plain,
( sk_c5 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f118,f93]) ).
fof(f242,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f240,f101]) ).
fof(f247,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f118,f232]) ).
fof(f410,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f235,f242]) ).
fof(f413,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f410,f239]) ).
fof(f425,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f118,f413]) ).
fof(f427,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f425,f3]) ).
fof(f433,plain,
( sk_c1 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f247,f427]) ).
fof(f434,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f433,f3]) ).
fof(f435,plain,
( sk_c6 = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f434,f427]) ).
fof(f437,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f232,f435]) ).
fof(f438,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f93,f435]) ).
fof(f439,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f101,f435]) ).
fof(f440,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f437,f242]) ).
fof(f442,plain,
( sk_c5 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f440,f427]) ).
fof(f444,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f156,f440]) ).
fof(f446,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f444,f3]) ).
fof(f447,plain,
( sk_c6 = sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f446,f427]) ).
fof(f489,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f439,f442]) ).
fof(f509,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f438,f442]) ).
fof(f514,plain,
( sk_c5 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f509,f239]) ).
fof(f532,plain,
( sk_c6 != multiply(sk_c5,sk_c5)
| spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f53,f514]) ).
fof(f547,plain,
( sk_c6 != sk_c4
| spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f532,f239]) ).
fof(f551,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f547,f447]) ).
fof(f552,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f555,plain,
( ! [X2] :
( sk_c5 != inverse(X2)
| sk_c6 != multiply(X2,sk_c5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f49,f442]) ).
fof(f563,plain,
( ! [X2] :
( sk_c5 != inverse(X2)
| sk_c5 != multiply(X2,sk_c5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f555,f442]) ).
fof(f567,plain,
( sk_c5 != sk_c6
| sk_c5 != multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f563,f101]) ).
fof(f573,plain,
( sk_c5 != multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f567,f442]) ).
fof(f578,plain,
( sk_c5 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f573,f93]) ).
fof(f581,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f578,f442]) ).
fof(f582,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f587,plain,
( sk_c5 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f589,plain,
( sk_c5 != multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f587,f447]) ).
fof(f593,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f589,f442]) ).
fof(f594,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f593,f509]) ).
fof(f595,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f596,plain,
( sk_c5 != inverse(sk_c5)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f57,f514]) ).
fof(f606,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f596,f489]) ).
fof(f607,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f606]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f74]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f79]) ).
cnf(s5,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f87]) ).
cnf(s9,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f88]) ).
cnf(s10,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f89]) ).
cnf(s11,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f94]) ).
cnf(s12,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f95]) ).
cnf(s13,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s14,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f97]) ).
cnf(s15,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s16,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f103]) ).
cnf(s17,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f104]) ).
cnf(s18,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f105]) ).
cnf(s19,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f106]) ).
cnf(s20,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f107]) ).
cnf(s21,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f108]) ).
cnf(s22,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f109]) ).
cnf(s23,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f195]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f217]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f228]) ).
cnf(s29,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f552]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f582]) ).
cnf(s35,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f595]) ).
cnf(s36,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f607]) ).
cnf(s37,plain,
spl0_2,
inference(rat,[],[s29,s36,s5,s9,s13,s17,s21]) ).
cnf(s38,plain,
( spl0_5
| ~ spl0_3 ),
inference(rat,[],[s23,s19,s20,s37]) ).
cnf(s39,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s35,s4,s8,s12,s16,s38,s37]) ).
cnf(s40,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_3
| ~ spl0_5 ),
inference(rat,[],[s35,s3,s7,s11,s15,s27,s37]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_1 ),
inference(rat,[],[s40,s39,s2,s37]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_1 ),
inference(rat,[],[s41,s38]) ).
cnf(s43,plain,
spl0_3,
inference(rat,[],[s36,s6,s10,s14,s18,s22]) ).
cnf(s44,plain,
spl0_5,
inference(rat,[],[s38,s43]) ).
cnf(s45,plain,
spl0_1,
inference(rat,[],[s42,s43]) ).
cnf(s47,plain,
spl0_8,
inference(rat,[],[s31,s4,s8,s12,s16,s44,s45]) ).
cnf(s48,plain,
~ spl0_6,
inference(rat,[],[s25,s43,s37,s45,s47]) ).
cnf(s49,plain,
spl0_11,
inference(rat,[],[s15,s48]) ).
cnf(s50,plain,
spl0_10,
inference(rat,[],[s11,s48]) ).
cnf(s51,plain,
spl0_9,
inference(rat,[],[s7,s48]) ).
cnf(s52,plain,
spl0_7,
inference(rat,[],[s3,s48]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s31,s49,s50,s45,s44,s51,s52]) ).
fof(f617,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP348-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 09:57:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.96/1.25 % (2089680)Input is clausal, will run a generic CNF schedule.
% 2.96/1.25 % (2089689)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2757454741:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.96/1.25 % (2089690)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1182960020:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.96/1.25 % (2089688)lrs+10_1_sil=8000:sp=occurrence:random_seed=2444970472:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.96/1.25 % (2089691)dis-21_1_sil=8000:lcm=predicate:random_seed=1707328905: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)
% 2.96/1.25 % (2089686)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3111206986:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.96/1.25 % (2089685)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=3603484586:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.96/1.25 % (2089687)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1197775944:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.96/1.25 % (2089691)Refutation not found, incomplete strategy
% 2.96/1.25 % (2089691)------------------------------
% 2.96/1.25 % (2089691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.25 % (2089691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.25 % (2089691)CaDiCaL version: 2.1.3
% 2.96/1.25 % (2089691)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.25 % (2089691)Time elapsed: 0.002 s
% 2.96/1.25 % (2089691)Peak memory usage: 88 MB
% 2.96/1.25 % (2089691)Instructions burned: 1 (million)
% 2.96/1.25 % (2089688)Refutation not found, incomplete strategy
% 2.96/1.25 % (2089688)------------------------------
% 2.96/1.25 % (2089688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.25 % (2089688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.25 % (2089688)CaDiCaL version: 2.1.3
% 2.96/1.25 % (2089688)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.25 % (2089688)Time elapsed: 0.002 s
% 2.96/1.25 % (2089688)Peak memory usage: 88 MB
% 2.96/1.25 % (2089688)Instructions burned: 2 (million)
% 2.96/1.25 % (2089689)Instruction limit reached!
% 2.96/1.25 % (2089689)------------------------------
% 2.96/1.25 % (2089689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.25 % (2089689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.25 % (2089689)CaDiCaL version: 2.1.3
% 2.96/1.25 % (2089689)Termination reason: Instruction limit
% 2.96/1.25 % (2089689)Termination phase: Saturation
% 2.96/1.25 % (2089689)Time elapsed: 0.037 s
% 2.96/1.25 % (2089689)Peak memory usage: 89 MB
% 2.96/1.25 % (2089689)Instructions burned: 117 (million)
% 2.96/1.25 % (2089690)First to succeed.
% 2.96/1.25 % (2089690)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2089680"
% 2.96/1.25 % (2089699)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=1518553874:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.96/1.25 % (2089699)Refutation not found, incomplete strategy
% 2.96/1.25 % (2089699)------------------------------
% 2.96/1.25 % (2089699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.25 % (2089699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.25 % (2089699)CaDiCaL version: 2.1.3
% 2.96/1.25 % (2089699)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.25 % (2089699)Time elapsed: 0.002 s
% 2.96/1.25 % (2089699)Peak memory usage: 88 MB
% 2.96/1.25 % (2089699)Instructions burned: 5 (million)
% 2.96/1.25 % (2089691)------------------------------
% 2.96/1.25 % (2089691)------------------------------
% 2.96/1.25 % (2089688)------------------------------
% 2.96/1.25 % (2089688)------------------------------
% 2.96/1.25 % (2089699)------------------------------
% 2.96/1.25 % (2089699)------------------------------
% 2.96/1.25 % (2089690)Refutation found. Thanks to Tanya!
% 2.96/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.96/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.43 % (2089690)------------------------------
% 3.53/1.43 % (2089690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.43 % (2089690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.43 % (2089690)CaDiCaL version: 2.1.3
% 3.53/1.43 % (2089690)Termination reason: Refutation
% 3.53/1.43 % (2089690)Time elapsed: 0.014 s
% 3.53/1.43 % (2089690)Peak memory usage: 89 MB
% 3.53/1.43 % (2089690)Instructions burned: 21 (million)
% 3.53/1.43 % (2089690)------------------------------
% 3.53/1.43 % (2089690)------------------------------
% 3.53/1.43 % (2089680)Success in time 0.412 s
% 3.53/1.43 % Vampire exiting
%------------------------------------------------------------------------------