%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL026-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:33:52 PM UTC 2026
% Result : Unsatisfiable 12.74s 3.00s
% Output : Refutation 14.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 126 ( 114 unt; 11 def)
% Number of atoms : 138 ( 121 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(composition(sk1,sk2),meet(composition(sk1,top),sk2)) != meet(composition(sk1,top),sk2)
| join(meet(composition(sk1,top),sk2),composition(sk1,sk2)) != composition(sk1,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( meet(composition(sk1,top),sk2) != join(composition(sk1,sk2),meet(composition(sk1,top),sk2))
| composition(sk1,sk2) != join(meet(composition(sk1,top),sk2),composition(sk1,sk2)) ),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
( complement(join(complement(composition(sk1,top)),complement(sk2))) != join(composition(sk1,sk2),complement(join(complement(composition(sk1,top)),complement(sk2))))
| composition(sk1,sk2) != join(complement(join(complement(composition(sk1,top)),complement(sk2))),composition(sk1,sk2)) ),
inference(definition_unfolding,[],[f20,f6,f6,f6]) ).
fof(f23,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
one = sF0,
inference(definition_folding,[],[f18,f24]) ).
fof(f26,definition,
sF1 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
composition(sk1,top) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF3 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
complement(sk2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
composition(sk1,sk2) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = join(sF6,sF5),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
join(sF6,sF5) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF8 = join(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f41,plain,
join(sF5,sF6) = sF8,
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
( sF5 != sF7
| sF6 != sF8 ),
inference(definition_folding,[],[f22,f41,f37,f35,f33,f31,f29,f27,f37,f39,f35,f33,f31,f29,f27,f37,f35,f33,f31,f29,f27]) ).
fof(f44,definition,
( spl9_1
<=> sF6 = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f46,plain,
( sF6 != sF8
| spl9_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f48,definition,
( spl9_2
<=> sF5 = sF7 ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f51,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f42,f48,f44]) ).
fof(f53,plain,
one = join(sk1,one),
inference(forward_demodulation,[],[f24,f25]) ).
fof(f54,plain,
sF4 = join(sF2,complement(sk2)),
inference(forward_demodulation,[],[f33,f31]) ).
fof(f55,plain,
sF7 = join(sF5,sF6),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f56,plain,
sF8 = join(sF5,composition(sk1,sk2)),
inference(forward_demodulation,[],[f41,f37]) ).
fof(f57,plain,
one = join(one,sk1),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f58,plain,
sF4 = join(complement(sk2),sF2),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f59,plain,
sF7 = join(sF5,composition(sk1,sk2)),
inference(forward_demodulation,[],[f55,f37]) ).
fof(f60,plain,
sF8 = join(composition(sk1,sk2),sF5),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f61,plain,
sF7 = join(composition(sk1,sk2),sF5),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f62,plain,
sF7 = sF8,
inference(backward_demodulation,[],[f60,f61]) ).
fof(f63,plain,
( sF6 != sF7
| spl9_1 ),
inference(forward_demodulation,[],[f46,f62]) ).
fof(f64,plain,
( composition(sk1,sk2) != sF7
| spl9_1 ),
inference(forward_demodulation,[],[f63,f37]) ).
fof(f81,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f92,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f102,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f4,f4]) ).
fof(f114,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f123,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f128,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f123,f2]) ).
fof(f131,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f134,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f140,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f149,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f151,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f140,f149]) ).
fof(f179,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f134,f12]) ).
fof(f185,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f179,f11]) ).
fof(f188,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f185,f11]) ).
fof(f190,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f188,f12]) ).
fof(f201,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f190]) ).
fof(f214,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f201,f10]) ).
fof(f434,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f151,f4]) ).
fof(f441,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f434,f1]) ).
fof(f561,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f131,f8]) ).
fof(f579,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f561,f10]) ).
fof(f599,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f92,f579]) ).
fof(f602,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f9,f579]) ).
fof(f610,plain,
one = converse(one),
inference(superposition,[],[f8,f579]) ).
fof(f617,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f579,f610]) ).
fof(f626,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f602,f610]) ).
fof(f632,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f599,f617]) ).
fof(f659,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(superposition,[],[f626,f57]) ).
fof(f705,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f659,f617]) ).
fof(f744,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f705]) ).
fof(f779,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f744,f214]) ).
fof(f837,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f779,f15]) ).
fof(f900,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,sF1),
inference(forward_demodulation,[],[f837,f27]) ).
fof(f1030,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f151,f632]) ).
fof(f1034,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1030,f114]) ).
fof(f1040,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f441,f1034]) ).
fof(f1056,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1040,f151]) ).
fof(f1062,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1040,f1]) ).
fof(f1076,plain,
! [X0,X1] : join(X0,X0) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f151,f1040]) ).
fof(f1084,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(complement(complement(X0)),X2))))))),
inference(superposition,[],[f151,f1040]) ).
fof(f1097,plain,
! [X0,X1] : join(X0,X0) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1076,f1]) ).
fof(f1102,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f128,f1062]) ).
fof(f1105,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1056,f2]) ).
fof(f1107,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1097,f1040]) ).
fof(f1111,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(backward_demodulation,[],[f1084,f1105]) ).
fof(f1168,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1040,f1111]) ).
fof(f1183,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f1040,f1111]) ).
fof(f1194,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1183,f1111]) ).
fof(f1217,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1194,f1040]) ).
fof(f1281,plain,
! [X0] : join(complement(X0),complement(composition(sk1,complement(complement(X0))))) = join(complement(X0),complement(join(complement(X0),sF1))),
inference(superposition,[],[f1102,f900]) ).
fof(f1294,plain,
! [X0] : join(complement(X0),complement(sF1)) = join(complement(X0),complement(composition(sk1,complement(complement(X0))))),
inference(forward_demodulation,[],[f1281,f1102]) ).
fof(f1306,plain,
! [X0] : join(complement(X0),complement(sF1)) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f1294,f1217]) ).
fof(f1318,plain,
! [X0] : join(complement(X0),sF2) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f1306,f29]) ).
fof(f1727,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1168,f1]) ).
fof(f1812,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),complement(X0)),
inference(superposition,[],[f1727,f705]) ).
fof(f1859,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(X0),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f1812,f1]) ).
fof(f1879,plain,
! [X0] : join(complement(X0),sF2) = complement(composition(sk1,X0)),
inference(backward_demodulation,[],[f1318,f1859]) ).
fof(f1892,plain,
sF4 = complement(composition(sk1,sk2)),
inference(backward_demodulation,[],[f58,f1879]) ).
fof(f2069,plain,
composition(sk1,sk2) = complement(sF4),
inference(superposition,[],[f1217,f1892]) ).
fof(f2073,plain,
composition(sk1,sk2) = sF5,
inference(backward_demodulation,[],[f35,f2069]) ).
fof(f2079,plain,
sF7 = join(composition(sk1,sk2),composition(sk1,sk2)),
inference(backward_demodulation,[],[f61,f2073]) ).
fof(f2114,plain,
composition(sk1,sk2) = sF7,
inference(forward_demodulation,[],[f2079,f1107]) ).
fof(f2125,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f2114,f64]) ).
fof(f2126,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f2125]) ).
fof(f2144,plain,
sF5 = sF7,
inference(backward_demodulation,[],[f2073,f2114]) ).
fof(f2156,plain,
spl9_2,
inference(avatar_split_clause,[],[f2144,f48]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
spl9_1,
inference(sat_conversion,[],[f2126]) ).
cnf(s4,plain,
spl9_2,
inference(sat_conversion,[],[f2156]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f2158,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL026-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.42 % Computer : n006.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8046.5625MB
% 0.19/0.42 % OS : Linux 6.8.0-71-generic
% 0.19/0.42 % CPULimit : 300
% 0.19/0.42 % WCLimit : 300
% 0.19/0.42 % DateTime : Sun Sep 27 22:52:55 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 12.74/3.00 % (3419209)Input is clausal, will run a generic CNF schedule.
% 12.74/3.00 % (3419220)dis-21_1_sil=8000:lcm=predicate:random_seed=2197381509: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)
% 12.74/3.00 % (3419220)Refutation not found, incomplete strategy
% 12.74/3.00 % (3419220)------------------------------
% 12.74/3.00 % (3419220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419220)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419220)Termination reason: Refutation not found, incomplete strategy
% 12.74/3.00 % (3419220)Time elapsed: 0.002 s
% 12.74/3.00 % (3419220)Peak memory usage: 88 MB
% 12.74/3.00 % (3419220)Instructions burned: 1 (million)
% 12.74/3.00 % (3419214)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=3687460202:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.74/3.00 % (3419216)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2238732848:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.74/3.00 % (3419215)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4146870016:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.74/3.00 % (3419218)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3505764590:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.74/3.00 % (3419219)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2880523113:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.74/3.00 % (3419217)lrs+10_1_sil=8000:sp=occurrence:random_seed=1383321389:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.74/3.00 % (3419218)Instruction limit reached!
% 12.74/3.00 % (3419218)------------------------------
% 12.74/3.00 % (3419218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419218)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419218)Termination reason: Instruction limit
% 12.74/3.00 % (3419218)Termination phase: Saturation
% 12.74/3.00 % (3419218)Time elapsed: 0.110 s
% 12.74/3.00 % (3419218)Peak memory usage: 89 MB
% 12.74/3.00 % (3419218)Instructions burned: 114 (million)
% 12.74/3.00 % (3419217)Instruction limit reached!
% 12.74/3.00 % (3419217)------------------------------
% 12.74/3.00 % (3419217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419217)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419217)Termination reason: Instruction limit
% 12.74/3.00 % (3419217)Termination phase: Saturation
% 12.74/3.00 % (3419217)Time elapsed: 0.110 s
% 12.74/3.00 % (3419217)Peak memory usage: 89 MB
% 12.74/3.00 % (3419217)Instructions burned: 107 (million)
% 12.74/3.00 % (3419220)------------------------------
% 12.74/3.00 % (3419220)------------------------------
% 12.74/3.00 % (3419219)Instruction limit reached!
% 12.74/3.00 % (3419219)------------------------------
% 12.74/3.00 % (3419219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419219)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419219)Termination reason: Instruction limit
% 12.74/3.00 % (3419219)Termination phase: Saturation
% 12.74/3.00 % (3419219)Time elapsed: 0.175 s
% 12.74/3.00 % (3419219)Peak memory usage: 90 MB
% 12.74/3.00 % (3419219)Instructions burned: 180 (million)
% 12.74/3.00 % (3419229)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2592939845:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 12.74/3.00 % (3419228)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=2253868351:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 12.74/3.00 % (3419231)lrs+10_64_to=lpo:sil=8000:random_seed=1301072921:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.74/3.00 % (3419230)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1224846042:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.74/3.00 % (3419231)Instruction limit reached!
% 12.74/3.00 % (3419231)------------------------------
% 12.74/3.00 % (3419231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419231)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419231)Termination reason: Instruction limit
% 12.74/3.00 % (3419231)Termination phase: Saturation
% 12.74/3.00 % (3419231)Time elapsed: 0.069 s
% 12.74/3.00 % (3419231)Peak memory usage: 89 MB
% 12.74/3.00 % (3419231)Instructions burned: 127 (million)
% 12.74/3.00 % (3419229)Instruction limit reached!
% 12.74/3.00 % (3419229)------------------------------
% 12.74/3.00 % (3419229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419229)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419229)Termination reason: Instruction limit
% 12.74/3.00 % (3419229)Termination phase: Saturation
% 12.74/3.00 % (3419229)Time elapsed: 0.193 s
% 12.74/3.00 % (3419229)Peak memory usage: 91 MB
% 12.74/3.00 % (3419229)Instructions burned: 190 (million)
% 12.74/3.00 % (3419228)Instruction limit reached!
% 12.74/3.00 % (3419228)------------------------------
% 12.74/3.00 % (3419228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419228)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419228)Termination reason: Instruction limit
% 12.74/3.00 % (3419228)Termination phase: Saturation
% 12.74/3.00 % (3419228)Time elapsed: 0.129 s
% 12.74/3.00 % (3419228)Peak memory usage: 89 MB
% 12.74/3.00 % (3419228)Instructions burned: 143 (million)
% 12.74/3.00 % (3419230)Instruction limit reached!
% 12.74/3.00 % (3419230)------------------------------
% 12.74/3.00 % (3419230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419230)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419230)Termination reason: Instruction limit
% 12.74/3.00 % (3419230)Termination phase: Saturation
% 12.74/3.00 % (3419230)Time elapsed: 0.212 s
% 12.74/3.00 % (3419230)Peak memory usage: 91 MB
% 12.74/3.00 % (3419230)Instructions burned: 219 (million)
% 12.74/3.00 % (3419236)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3059177044:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 12.74/3.00 % (3419238)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4179514438:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 12.74/3.00 % (3419237)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1739500487:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 12.74/3.00 % (3419237)Instruction limit reached!
% 12.74/3.00 % (3419237)------------------------------
% 12.74/3.00 % (3419237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419237)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419237)Termination reason: Instruction limit
% 12.74/3.00 % (3419237)Termination phase: Saturation
% 12.74/3.00 % (3419237)Time elapsed: 0.167 s
% 12.74/3.00 % (3419237)Peak memory usage: 91 MB
% 12.74/3.00 % (3419237)Instructions burned: 157 (million)
% 12.74/3.00 % (3419236)Instruction limit reached!
% 12.74/3.00 % (3419236)------------------------------
% 12.74/3.00 % (3419236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419236)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419236)Termination reason: Instruction limit
% 12.74/3.00 % (3419236)Termination phase: Saturation
% 12.74/3.00 % (3419236)Time elapsed: 0.205 s
% 12.74/3.00 % (3419236)Peak memory usage: 89 MB
% 12.74/3.00 % (3419236)Instructions burned: 194 (million)
% 12.74/3.00 % (3419239)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3195575218:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 12.74/3.00 % (3419239)Instruction limit reached!
% 12.74/3.00 % (3419239)------------------------------
% 12.74/3.00 % (3419239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419239)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419239)Termination reason: Instruction limit
% 12.74/3.00 % (3419239)Termination phase: Saturation
% 12.74/3.00 % (3419239)Time elapsed: 0.101 s
% 12.74/3.00 % (3419239)Peak memory usage: 89 MB
% 12.74/3.00 % (3419239)Instructions burned: 107 (million)
% 12.74/3.00 % (3419244)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3036650564:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 12.74/3.00 % (3419243)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3481772265:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 12.74/3.00 % (3419216)First to succeed.
% 12.74/3.00 % (3419216)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3419209"
% 12.74/3.00 % (3419243)Instruction limit reached!
% 12.74/3.00 % (3419243)------------------------------
% 12.74/3.00 % (3419243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419243)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419243)Termination reason: Instruction limit
% 12.74/3.00 % (3419243)Termination phase: Saturation
% 12.74/3.00 % (3419243)Time elapsed: 0.094 s
% 12.74/3.00 % (3419243)Peak memory usage: 89 MB
% 12.74/3.00 % (3419243)Instructions burned: 107 (million)
% 12.74/3.00 % (3419246)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2968202808:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 12.74/3.00 % (3419244)Instruction limit reached!
% 12.74/3.00 % (3419244)------------------------------
% 12.74/3.00 % (3419244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419244)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419244)Termination reason: Instruction limit
% 12.74/3.00 % (3419244)Termination phase: Saturation
% 12.74/3.00 % (3419244)Time elapsed: 0.211 s
% 12.74/3.00 % (3419244)Peak memory usage: 88 MB
% 12.74/3.00 % (3419244)Instructions burned: 242 (million)
% 12.74/3.00 % (3419249)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1383687204:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 12.74/3.00 % (3419215)Also succeeded, but the first one will report.
% 12.74/3.00 % (3419238)Also succeeded, but the first one will report.
% 12.74/3.00 % (3419214)Also succeeded, but the first one will report.
% 12.74/3.00 % (3419249)Instruction limit reached!
% 12.74/3.00 % (3419249)------------------------------
% 12.74/3.00 % (3419249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/3.00 % (3419249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/3.00 % (3419249)CaDiCaL version: 2.1.3
% 12.74/3.00 % (3419249)Termination reason: Instruction limit
% 12.74/3.00 % (3419249)Termination phase: Saturation
% 12.74/3.00 % (3419249)Time elapsed: 0.127 s
% 12.74/3.00 % (3419249)Peak memory usage: 89 MB
% 12.74/3.00 % (3419249)Instructions burned: 135 (million)
% 12.74/3.00 % (3419216)Refutation found. Thanks to Tanya!
% 12.74/3.00 % SZS status Unsatisfiable for theBenchmark
% 12.74/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 14.53/3.17 % (3419216)------------------------------
% 14.53/3.17 % (3419216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.17 % (3419216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.17 % (3419216)CaDiCaL version: 2.1.3
% 14.53/3.17 % (3419216)Termination reason: Refutation
% 14.53/3.17 % (3419216)Time elapsed: 1.279 s
% 14.53/3.17 % (3419216)Peak memory usage: 132 MB
% 14.53/3.17 % (3419216)Instructions burned: 1297 (million)
% 14.53/3.17 % (3419216)------------------------------
% 14.53/3.17 % (3419216)------------------------------
% 14.53/3.17 % (3419209)Success in time 1.949 s
% 14.53/3.17 % Vampire exiting
%------------------------------------------------------------------------------