%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL018-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:33:46 PM UTC 2026
% Result : Unsatisfiable 4.75s 2.72s
% Output : Refutation 11.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 127 ( 74 unt; 11 def)
% Number of atoms : 214 ( 102 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 173 ( 86 ~; 79 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
composition(complement(sk1),top) != complement(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
complement(sk1) != composition(complement(sk1),top),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
sk1 = sF0,
inference(definition_folding,[],[f18,f23]) ).
fof(f25,definition,
sF1 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
complement(sk1) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF2 = composition(sF1,top),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f28,plain,
composition(sF1,top) = sF2,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
sF1 != sF2,
inference(definition_folding,[],[f20,f28,f26,f26]) ).
fof(f30,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f15]) ).
fof(f31,plain,
sF0 = composition(sF0,top),
inference(forward_demodulation,[],[f23,f24]) ).
fof(f32,plain,
sF1 = complement(sF0),
inference(forward_demodulation,[],[f26,f24]) ).
fof(f34,definition,
( spl3_1
<=> sF0 = composition(sF0,top) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f36,plain,
( sF0 = composition(sF0,top)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
spl3_1,
inference(avatar_split_clause,[],[f31,f34]) ).
fof(f44,definition,
( spl3_3
<=> composition(sF1,top) = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f46,plain,
( composition(sF1,top) = sF2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
spl3_3,
inference(avatar_split_clause,[],[f28,f44]) ).
fof(f49,definition,
( spl3_4
<=> sF1 = complement(sF0) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f51,plain,
( sF1 = complement(sF0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
spl3_4,
inference(avatar_split_clause,[],[f32,f49]) ).
fof(f54,definition,
( spl3_5
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f56,plain,
( sF1 != sF2
| spl3_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
~ spl3_5,
inference(avatar_split_clause,[],[f29,f54]) ).
fof(f58,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f60,plain,
( complement(top) = join(composition(converse(sF0),complement(sF0)),complement(top))
| ~ spl3_1 ),
inference(superposition,[],[f14,f36]) ).
fof(f63,plain,
( complement(top) = join(complement(top),composition(converse(sF0),complement(sF0)))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f65,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f66,plain,
( complement(top) = join(complement(top),composition(converse(sF0),sF1))
| ~ spl3_1
| ~ spl3_4 ),
inference(forward_demodulation,[],[f63,f51]) ).
fof(f68,plain,
( zero = join(zero,composition(converse(sF0),sF1))
| ~ spl3_1
| ~ spl3_4 ),
inference(forward_demodulation,[],[f66,f30]) ).
fof(f98,definition,
( spl3_6
<=> zero = complement(top) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f100,plain,
( zero = complement(top)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
spl3_6,
inference(avatar_split_clause,[],[f30,f98]) ).
fof(f121,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f124,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(f129,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f159,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f124,f12]) ).
fof(f170,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f159,f11]) ).
fof(f173,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f170,f11]) ).
fof(f175,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f173,f12]) ).
fof(f190,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f175]) ).
fof(f203,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f190,f10]) ).
fof(f230,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f203,f8]) ).
fof(f266,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f121,f8]) ).
fof(f286,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f266,f10]) ).
fof(f301,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f65,f286]) ).
fof(f311,plain,
one = converse(one),
inference(superposition,[],[f8,f286]) ).
fof(f315,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f286,f311]) ).
fof(f327,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f301,f315]) ).
fof(f372,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f374,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f381,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f390,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f381,f1]) ).
fof(f397,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f374,f1]) ).
fof(f399,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f372,f327]) ).
fof(f404,plain,
( ! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f390,f100]) ).
fof(f406,plain,
( ! [X0] : join(zero,complement(complement(X0))) = X0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f399,f100]) ).
fof(f437,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f397,f15]) ).
fof(f445,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f437,f1]) ).
fof(f459,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f445,f1]) ).
fof(f467,plain,
( ! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0)))))
| ~ spl3_6 ),
inference(forward_demodulation,[],[f459,f100]) ).
fof(f473,plain,
( ! [X0] : complement(complement(X0)) = X0
| ~ spl3_6 ),
inference(backward_demodulation,[],[f404,f467]) ).
fof(f476,plain,
( ! [X0] : complement(X0) = join(zero,complement(join(X0,X0)))
| ~ spl3_6 ),
inference(backward_demodulation,[],[f467,f473]) ).
fof(f478,plain,
( ! [X0] : join(zero,X0) = X0
| ~ spl3_6 ),
inference(backward_demodulation,[],[f406,f473]) ).
fof(f491,plain,
( zero = composition(converse(sF0),sF1)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6 ),
inference(backward_demodulation,[],[f68,f478]) ).
fof(f493,plain,
( ! [X0] : complement(X0) = complement(join(X0,X0))
| ~ spl3_6 ),
inference(forward_demodulation,[],[f476,f478]) ).
fof(f504,plain,
( ! [X0] : join(X0,zero) = X0
| ~ spl3_6 ),
inference(superposition,[],[f1,f478]) ).
fof(f505,plain,
( top = complement(zero)
| ~ spl3_6 ),
inference(superposition,[],[f15,f478]) ).
fof(f517,plain,
( ! [X0] : top = join(join(X0,X0),complement(X0))
| ~ spl3_6 ),
inference(superposition,[],[f15,f493]) ).
fof(f523,plain,
( ! [X0] : top = join(X0,join(X0,complement(X0)))
| ~ spl3_6 ),
inference(forward_demodulation,[],[f517,f2]) ).
fof(f535,plain,
( ! [X0] : top = join(X0,top)
| ~ spl3_6 ),
inference(forward_demodulation,[],[f523,f15]) ).
fof(f745,definition,
( spl3_9
<=> top = complement(zero) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f747,plain,
( top = complement(zero)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,plain,
( spl3_9
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f505,f98,f745]) ).
fof(f1054,plain,
( ! [X0] : composition(X0,top) = join(X0,composition(X0,top))
| ~ spl3_6 ),
inference(superposition,[],[f230,f535]) ).
fof(f1146,definition,
( spl3_12
<=> zero = composition(converse(sF0),sF1) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f1148,plain,
( zero = composition(converse(sF0),sF1)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1149,plain,
( spl3_12
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f491,f98,f49,f34,f1146]) ).
fof(f1150,plain,
( composition(converse(sF1),sF0) = converse(zero)
| ~ spl3_12 ),
inference(superposition,[],[f121,f1148]) ).
fof(f4867,definition,
( spl3_19
<=> composition(converse(sF1),sF0) = converse(zero) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f4869,plain,
( composition(converse(sF1),sF0) = converse(zero)
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f4867]) ).
fof(f4870,plain,
( spl3_19
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f1150,f1146,f4867]) ).
fof(f4873,plain,
( complement(sF0) = join(complement(sF0),composition(sF1,complement(converse(zero))))
| ~ spl3_19 ),
inference(superposition,[],[f65,f4869]) ).
fof(f4894,plain,
( sF1 = join(sF1,composition(sF1,complement(converse(zero))))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f4873,f51]) ).
fof(f5108,plain,
( ! [X0] : converse(converse(X0)) = join(converse(zero),X0)
| ~ spl3_6 ),
inference(superposition,[],[f129,f478]) ).
fof(f5143,plain,
( ! [X0] : join(converse(zero),X0) = X0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f5108,f10]) ).
fof(f5216,plain,
( zero = converse(zero)
| ~ spl3_6 ),
inference(superposition,[],[f504,f5143]) ).
fof(f5224,plain,
( sF1 = join(sF1,composition(sF1,complement(zero)))
| ~ spl3_4
| ~ spl3_6
| ~ spl3_19 ),
inference(backward_demodulation,[],[f4894,f5216]) ).
fof(f5272,plain,
( sF1 = join(sF1,composition(sF1,top))
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f5224,f747]) ).
fof(f5307,plain,
( sF1 = composition(sF1,top)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f5272,f1054]) ).
fof(f5318,plain,
( sF1 = sF2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f5307,f46]) ).
fof(f5322,plain,
( $false
| ~ spl3_3
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f5318,f56]) ).
fof(f5323,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f5322]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f37]) ).
cnf(s3,plain,
spl3_3,
inference(sat_conversion,[],[f47]) ).
cnf(s4,plain,
spl3_4,
inference(sat_conversion,[],[f52]) ).
cnf(s5,plain,
~ spl3_5,
inference(sat_conversion,[],[f57]) ).
cnf(s6,plain,
spl3_6,
inference(sat_conversion,[],[f101]) ).
cnf(s9,plain,
( ~ spl3_6
| spl3_9 ),
inference(sat_conversion,[],[f748]) ).
cnf(s12,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| spl3_12 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s19,plain,
( ~ spl3_12
| spl3_19 ),
inference(sat_conversion,[],[f4870]) ).
cnf(s20,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(sat_conversion,[],[f5323]) ).
cnf(s23,plain,
spl3_9,
inference(rat,[],[s9,s6]) ).
cnf(s26,plain,
~ spl3_19,
inference(rat,[],[s20,s4,s23,s6,s5,s3]) ).
cnf(s29,plain,
~ spl3_12,
inference(rat,[],[s19,s26]) ).
cnf(s30,plain,
~ spl3_1,
inference(rat,[],[s12,s4,s6,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s30]) ).
fof(f5326,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL018-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n011.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 22:52:00 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.75/2.72 % (2849696)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.75/2.72 % (2849701)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4178353968:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.75/2.72 % (2849703)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2235494372:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.75/2.72 % (2849704)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3967331527:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.75/2.72 % (2849702)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=285228148:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.75/2.72 % (2849706)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2543239595:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.75/2.72 % (2849705)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=871686160:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.75/2.72 % (2849707)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1361260011:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.75/2.72 % (2849704)Instruction limit reached!
% 4.75/2.72 % (2849704)------------------------------
% 4.75/2.72 % (2849704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/2.72 % (2849704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/2.72 % (2849704)CaDiCaL version: 2.1.3
% 4.75/2.72 % (2849704)Termination reason: Instruction limit
% 4.75/2.72 % (2849704)Termination phase: Saturation
% 4.75/2.72 % (2849704)Time elapsed: 0.143 s
% 4.75/2.72 % (2849704)Peak memory usage: 88 MB
% 4.75/2.72 % (2849704)Instructions burned: 136 (million)
% 4.75/2.72 % (2849705)Instruction limit reached!
% 4.75/2.72 % (2849705)------------------------------
% 4.75/2.72 % (2849705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/2.72 % (2849705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/2.72 % (2849705)CaDiCaL version: 2.1.3
% 4.75/2.72 % (2849705)Termination reason: Instruction limit
% 4.75/2.72 % (2849705)Termination phase: Saturation
% 4.75/2.72 % (2849705)Time elapsed: 0.180 s
% 4.75/2.72 % (2849705)Peak memory usage: 89 MB
% 4.75/2.72 % (2849705)Instructions burned: 181 (million)
% 4.75/2.72 % (2849706)Instruction limit reached!
% 4.75/2.72 % (2849706)------------------------------
% 4.75/2.72 % (2849706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/2.72 % (2849706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/2.72 % (2849706)CaDiCaL version: 2.1.3
% 4.75/2.72 % (2849706)Termination reason: Instruction limit
% 4.75/2.72 % (2849706)Termination phase: Saturation
% 4.75/2.72 % (2849706)Time elapsed: 0.280 s
% 4.75/2.72 % (2849706)Peak memory usage: 90 MB
% 4.75/2.72 % (2849706)Instructions burned: 257 (million)
% 4.75/2.72 % (2849716)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2358677949:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 4.75/2.72 % (2849717)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3264362561:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 4.75/2.72 % (2849718)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=165739690:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 4.75/2.72 % (2849718)Instruction limit reached!
% 4.75/2.72 % (2849718)------------------------------
% 4.75/2.72 % (2849718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/2.72 % (2849718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/2.72 % (2849718)CaDiCaL version: 2.1.3
% 4.75/2.72 % (2849718)Termination reason: Instruction limit
% 4.75/2.72 % (2849718)Termination phase: Saturation
% 4.75/2.72 % (2849718)Time elapsed: 0.209 s
% 4.75/2.72 % (2849718)Peak memory usage: 92 MB
% 4.75/2.72 % (2849718)Instructions burned: 216 (million)
% 4.75/2.72 % (2849701)First to succeed.
% 4.75/2.72 % (2849701)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2849696"
% 4.75/2.72 % (2849722)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2628608050:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 4.75/2.72 % (2849701)Refutation found. Thanks to Tanya!
% 4.75/2.72 % SZS status Unsatisfiable for theBenchmark
% 4.75/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 11.00/2.93 % (2849701)------------------------------
% 11.00/2.93 % (2849701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.93 % (2849701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.93 % (2849701)CaDiCaL version: 2.1.3
% 11.00/2.93 % (2849701)Termination reason: Refutation
% 11.00/2.93 % (2849701)Time elapsed: 0.945 s
% 11.00/2.93 % (2849701)Peak memory usage: 135 MB
% 11.00/2.93 % (2849701)Instructions burned: 1471 (million)
% 11.00/2.93 % (2849701)------------------------------
% 11.00/2.93 % (2849701)------------------------------
% 11.00/2.93 % (2849696)Success in time 1.432 s
% 11.00/2.93 % Vampire exiting
%------------------------------------------------------------------------------