%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET473-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:43:50 PM UTC 2026
% Result : Unsatisfiable 7.68s 3.71s
% Output : Refutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 29 unt; 3 def)
% Number of atoms : 148 ( 67 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 122 ( 55 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = X0
| null_class = intersection(X0,regular(X0)) ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
y = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lemma_1_to_restricted_domain_1) ).
fof(f123,plain,
null_class = y,
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
domain_of(restrict(x,y,y)) != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lemma_1_to_restricted_domain_2) ).
fof(f125,plain,
y != domain_of(restrict(x,y,y)),
inference(reorient_equations,[],[f124]) ).
fof(f130,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f130]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f130]) ).
fof(f146,plain,
! [X0,X1] :
( y != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12,f123]) ).
fof(f166,plain,
! [X0] :
( member(regular(X0),X0)
| y = X0 ),
inference(definition_unfolding,[],[f68,f123]) ).
fof(f167,plain,
! [X0] :
( intersection(X0,regular(X0)) = y
| y = X0 ),
inference(definition_unfolding,[],[f70,f123,f123]) ).
fof(f191,plain,
y != domain_of(intersection(x,cross_product(y,y))),
inference(definition_unfolding,[],[f125,f28]) ).
fof(f196,definition,
sF0 = cross_product(y,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f197,plain,
cross_product(y,y) = sF0,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF1 = intersection(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f199,plain,
intersection(x,sF0) = sF1,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f201,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
y != sF2,
inference(definition_folding,[],[f191,f201,f199,f197]) ).
fof(f212,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = y ),
inference(resolution,[],[f24,f166]) ).
fof(f230,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = y ),
inference(resolution,[],[f21,f166]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,x) ),
inference(superposition,[],[f21,f199]) ).
fof(f238,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = y ),
inference(resolution,[],[f22,f166]) ).
fof(f240,plain,
! [X0,X1] :
( member(X0,regular(X1))
| ~ member(X0,y)
| y = X1 ),
inference(superposition,[],[f22,f167]) ).
fof(f254,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f256,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| y = X0 ),
inference(resolution,[],[f1,f166]) ).
fof(f402,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,y) ),
inference(superposition,[],[f139,f197]) ).
fof(f476,plain,
! [X0,X1] :
( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
| cross_product(X0,X1) = y ),
inference(resolution,[],[f142,f166]) ).
fof(f504,plain,
! [X2,X0,X1] :
( ~ subclass(regular(X1),X2)
| y = X1
| ~ member(X0,y)
| member(X0,X2) ),
inference(resolution,[],[f240,f1]) ).
fof(f517,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = y
| complement(X0) = y ),
inference(resolution,[],[f256,f212]) ).
fof(f531,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = y ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f536,plain,
y = complement(universal_class),
inference(resolution,[],[f531,f4]) ).
fof(f538,plain,
! [X0] :
( ~ member(X0,y)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f536]) ).
fof(f545,plain,
! [X0] :
( ~ member(not_subclass_element(y,X0),universal_class)
| subclass(y,X0) ),
inference(resolution,[],[f538,f2]) ).
fof(f564,plain,
! [X0,X1] :
( ~ member(regular(intersection(complement(X0),X1)),X0)
| y = intersection(complement(X0),X1) ),
inference(resolution,[],[f230,f24]) ).
fof(f590,plain,
( member(regular(sF1),sF0)
| y = sF1 ),
inference(superposition,[],[f238,f199]) ).
fof(f609,plain,
! [X0] :
( member(regular(sF1),X0)
| ~ subclass(sF0,X0)
| y = sF1 ),
inference(resolution,[],[f590,f1]) ).
fof(f886,plain,
! [X0] :
( member(regular(intersection(X0,sF1)),x)
| y = intersection(X0,sF1) ),
inference(resolution,[],[f233,f238]) ).
fof(f1150,plain,
! [X0] :
( ~ subclass(y,universal_class)
| subclass(y,X0)
| subclass(y,X0) ),
inference(resolution,[],[f254,f545]) ).
fof(f1166,plain,
! [X0] :
( ~ subclass(y,universal_class)
| subclass(y,X0) ),
inference(duplicate_literal_removal,[],[f1150]) ).
fof(f1171,plain,
! [X0] : subclass(y,X0),
inference(forward_subsumption_resolution,[],[f1166,f4]) ).
fof(f1411,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),y)
| ~ member(regular(cross_product(X0,X1)),sF0)
| cross_product(X0,X1) = y ),
inference(superposition,[],[f402,f476]) ).
fof(f2722,plain,
! [X0,X1] :
( y = X0
| ~ member(X1,y)
| member(X1,universal_class) ),
inference(resolution,[],[f504,f4]) ).
fof(f2729,plain,
! [X0,X1] :
( ~ member(X1,y)
| y = X0 ),
inference(forward_subsumption_resolution,[],[f2722,f538]) ).
fof(f2735,plain,
! [X0,X1] :
( y = X0
| y = intersection(y,X1) ),
inference(resolution,[],[f2729,f230]) ).
fof(f3853,plain,
! [X0] :
( y != y
| y = intersection(y,X0) ),
inference(equality_factoring,[],[f2735]) ).
fof(f3854,plain,
! [X0] : y = intersection(y,X0),
inference(trivial_inequality_removal,[],[f3853]) ).
fof(f3908,plain,
( y = intersection(complement(x),sF1)
| y = intersection(complement(x),sF1) ),
inference(resolution,[],[f564,f886]) ).
fof(f3921,plain,
y = intersection(complement(x),sF1),
inference(duplicate_literal_removal,[],[f3908]) ).
fof(f3944,plain,
! [X0] :
( y != y
| ~ member(X0,domain_of(y)) ),
inference(superposition,[],[f146,f3854]) ).
fof(f3968,plain,
! [X0] : ~ member(X0,domain_of(y)),
inference(trivial_inequality_removal,[],[f3944]) ).
fof(f4015,plain,
y = domain_of(y),
inference(resolution,[],[f3968,f166]) ).
fof(f4060,plain,
! [X0] : ~ member(X0,y),
inference(superposition,[],[f3968,f4015]) ).
fof(f4322,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,sF1)
| ~ member(X0,complement(x)) ),
inference(superposition,[],[f23,f3921]) ).
fof(f4332,plain,
! [X0] :
( ~ member(X0,complement(x))
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f4322,f4060]) ).
fof(f5406,plain,
( ~ member(regular(sF1),sF1)
| ~ subclass(sF0,complement(x))
| y = sF1 ),
inference(resolution,[],[f4332,f609]) ).
fof(f5441,plain,
( ~ subclass(sF0,complement(x))
| y = sF1 ),
inference(forward_subsumption_resolution,[],[f5406,f166]) ).
fof(f6396,plain,
( member(first(regular(sF0)),y)
| ~ member(regular(sF0),sF0)
| y = sF0 ),
inference(superposition,[],[f1411,f197]) ).
fof(f6402,plain,
( ~ member(regular(sF0),sF0)
| y = sF0 ),
inference(forward_subsumption_resolution,[],[f6396,f2729]) ).
fof(f6404,plain,
y = sF0,
inference(forward_subsumption_resolution,[],[f6402,f166]) ).
fof(f6442,plain,
( ~ subclass(y,complement(x))
| y = sF1 ),
inference(superposition,[],[f5441,f6404]) ).
fof(f6443,plain,
y = sF1,
inference(forward_subsumption_resolution,[],[f6442,f1171]) ).
fof(f6480,plain,
sF2 = domain_of(y),
inference(superposition,[],[f201,f6443]) ).
fof(f6511,plain,
y = sF2,
inference(forward_demodulation,[],[f6480,f4015]) ).
fof(f6514,plain,
$false,
inference(forward_subsumption_resolution,[],[f6511,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET473-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 01:55:41 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.48/2.92 % (1360486)Will run a generic schedule for satisfiability detection.
% 17.48/2.92 % (1360496)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1457777515:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.48/2.92 % (1360492)% WARNING: option uhcvi not known.
% 17.48/2.92 % (1360491)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=865626352_2999 on theBenchmark for (2999ds/0Mi)
% 17.48/2.92 % (1360493)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3391638469:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.48/2.92 % (1360494)dis+10_1_sil=32000:sp=arity:random_seed=76135517:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.48/2.92 % (1360495)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2453782816:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.48/2.92 % (1360497)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2757783137:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.48/2.92 % (1360492)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3488201703:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.48/2.92 % (1360496)Instruction limit reached!
% 17.48/2.92 % (1360496)------------------------------
% 17.48/2.92 % (1360496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/2.92 % (1360496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/2.92 % (1360496)CaDiCaL version: 2.1.3
% 17.48/2.92 % (1360496)Termination reason: Instruction limit
% 17.48/2.92 % (1360496)Termination phase: Saturation
% 17.48/2.92 % (1360496)Time elapsed: 0.042 s
% 17.48/2.92 % (1360496)Peak memory usage: 12 MB
% 17.48/2.92 % (1360496)Instructions burned: 132 (million)
% 17.48/2.92 % (1360505)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3994754008:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.48/2.92 % (1360494)Instruction limit reached!
% 17.48/2.92 % (1360494)------------------------------
% 17.48/2.92 % (1360494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/2.92 % (1360494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/2.92 % (1360494)CaDiCaL version: 2.1.3
% 17.48/2.92 % (1360494)Termination reason: Instruction limit
% 17.48/2.92 % (1360494)Termination phase: Saturation
% 17.48/2.92 % (1360494)Time elapsed: 0.066 s
% 17.48/2.92 % (1360494)Peak memory usage: 12 MB
% 17.48/2.92 % (1360494)Instructions burned: 104 (million)
% 17.48/2.92 % (1360495)Instruction limit reached!
% 17.48/2.92 % (1360495)------------------------------
% 17.48/2.92 % (1360495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/2.92 % (1360495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/2.92 % (1360495)CaDiCaL version: 2.1.3
% 17.48/2.92 % (1360495)Termination reason: Instruction limit
% 17.48/2.92 % (1360495)Termination phase: Saturation
% 17.48/2.92 % (1360495)Time elapsed: 0.070 s
% 17.48/2.92 % (1360495)Peak memory usage: 13 MB
% 17.48/2.92 % (1360495)Instructions burned: 116 (million)
% 17.48/2.92 % (1360507)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3611858989:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 17.48/2.92 % (1360508)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1354807239:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.48/2.92 % (1360497)Instruction limit reached!
% 17.48/2.92 % (1360497)------------------------------
% 17.48/2.92 % (1360497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/2.92 % (1360497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/2.92 % (1360497)CaDiCaL version: 2.1.3
% 17.48/2.92 % (1360497)Termination reason: Instruction limit
% 17.48/2.92 % (1360497)Termination phase: Saturation
% 17.48/2.92 % (1360497)Time elapsed: 0.089 s
% 17.48/2.92 % (1360497)Peak memory usage: 13 MB
% 17.48/2.92 % (1360497)Instructions burned: 160 (million)
% 17.48/2.92 % (1360511)ott-21_1_sil=16000:fs=off:random_seed=4107885683:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.48/2.92 % TRYING [1]
% 17.48/2.92 % TRYING [2]
% 17.48/2.92 % TRYING [3]
% 17.48/2.92 % (1360507)Instruction limit reached!
% 17.48/2.92 % (1360507)------------------------------
% 17.48/2.92 % (1360507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.48/2.92 % (1360507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360507)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360507)Termination reason: Instruction limit
% 7.68/3.71 % (1360507)Termination phase: Saturation
% 7.68/3.71 % (1360507)Time elapsed: 0.082 s
% 7.68/3.71 % (1360507)Peak memory usage: 13 MB
% 7.68/3.71 % (1360507)Instructions burned: 132 (million)
% 7.68/3.71 % (1360513)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3399742099:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.68/3.71 % TRYING [1]
% 7.68/3.71 % TRYING [2]
% 7.68/3.71 % (1360511)Instruction limit reached!
% 7.68/3.71 % (1360511)------------------------------
% 7.68/3.71 % (1360511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360511)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360511)Termination reason: Instruction limit
% 7.68/3.71 % (1360511)Termination phase: Saturation
% 7.68/3.71 % (1360511)Time elapsed: 0.098 s
% 7.68/3.71 % (1360511)Peak memory usage: 12 MB
% 7.68/3.71 % (1360511)Instructions burned: 180 (million)
% 7.68/3.71 % (1360505)Instruction limit reached!
% 7.68/3.71 % (1360505)------------------------------
% 7.68/3.71 % (1360505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360505)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360505)Termination reason: Instruction limit
% 7.68/3.71 % (1360505)Termination phase: Finite model building constraint generation
% 7.68/3.71 % (1360505)Time elapsed: 0.175 s
% 7.68/3.71 % (1360505)Peak memory usage: 34 MB
% 7.68/3.71 % (1360505)Instructions burned: 716 (million)
% 7.68/3.71 % (1360515)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4001129995:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.68/3.71 % TRYING [3]
% 7.68/3.71 % (1360516)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3150780145:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.68/3.71 % TRYING [4]
% 7.68/3.71 % TRYING [1]
% 7.68/3.71 % TRYING [2]
% 7.68/3.71 % (1360513)Instruction limit reached!
% 7.68/3.71 % (1360513)------------------------------
% 7.68/3.71 % (1360513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360513)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360513)Termination reason: Instruction limit
% 7.68/3.71 % (1360513)Termination phase: Saturation
% 7.68/3.71 % (1360513)Time elapsed: 0.329 s
% 7.68/3.71 % (1360513)Peak memory usage: 14 MB
% 7.68/3.71 % (1360513)Instructions burned: 478 (million)
% 7.68/3.71 % (1360519)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1173024346:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.68/3.71 % (1360508)Instruction limit reached!
% 7.68/3.71 % (1360508)------------------------------
% 7.68/3.71 % (1360508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360508)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360508)Termination reason: Instruction limit
% 7.68/3.71 % (1360508)Termination phase: Saturation
% 7.68/3.71 % (1360508)Time elapsed: 0.450 s
% 7.68/3.71 % (1360508)Peak memory usage: 19 MB
% 7.68/3.71 % (1360508)Instructions burned: 684 (million)
% 7.68/3.71 % (1360521)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2807223842:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.68/3.71 % TRYING [3]
% 7.68/3.71 % (1360516)Instruction limit reached!
% 7.68/3.71 % (1360516)------------------------------
% 7.68/3.71 % (1360516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360516)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360516)Termination reason: Instruction limit
% 7.68/3.71 % (1360516)Termination phase: Saturation
% 7.68/3.71 % (1360516)Time elapsed: 0.371 s
% 7.68/3.71 % (1360516)Peak memory usage: 21 MB
% 7.68/3.71 % (1360516)Instructions burned: 1182 (million)
% 7.68/3.71 % (1360523)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3755405990:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.68/3.71 % (1360515)Instruction limit reached!
% 7.68/3.71 % (1360515)------------------------------
% 7.68/3.71 % (1360515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360515)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360515)Termination reason: Instruction limit
% 7.68/3.71 % (1360515)Termination phase: Finite model building constraint generation
% 7.68/3.71 % (1360515)Time elapsed: 0.398 s
% 7.68/3.71 % (1360515)Peak memory usage: 25 MB
% 7.68/3.71 % (1360515)Instructions burned: 867 (million)
% 7.68/3.71 % (1360525)fmb+10_1_sil=64000:random_seed=1822518451:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.68/3.71 % TRYING [1]
% 7.68/3.71 % TRYING [2]
% 7.68/3.71 % (1360523)Instruction limit reached!
% 7.68/3.71 % (1360523)------------------------------
% 7.68/3.71 % (1360523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360523)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360523)Termination reason: Instruction limit
% 7.68/3.71 % (1360523)Termination phase: Saturation
% 7.68/3.71 % (1360523)Time elapsed: 0.256 s
% 7.68/3.71 % (1360523)Peak memory usage: 18 MB
% 7.68/3.71 % (1360523)Instructions burned: 880 (million)
% 7.68/3.71 % (1360527)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3898505381:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.68/3.71 % (1360519)Instruction limit reached!
% 7.68/3.71 % (1360519)------------------------------
% 7.68/3.71 % (1360519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360519)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360519)Termination reason: Instruction limit
% 7.68/3.71 % (1360519)Termination phase: Finite model building constraint generation
% 7.68/3.71 % (1360519)Time elapsed: 0.437 s
% 7.68/3.71 % (1360519)Peak memory usage: 75 MB
% 7.68/3.71 % (1360519)Instructions burned: 891 (million)
% 7.68/3.71 % (1360521)Instruction limit reached!
% 7.68/3.71 % (1360521)------------------------------
% 7.68/3.71 % (1360521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360521)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360521)Termination reason: Instruction limit
% 7.68/3.71 % (1360521)Termination phase: Saturation
% 7.68/3.71 % (1360521)Time elapsed: 0.418 s
% 7.68/3.71 % (1360521)Peak memory usage: 18 MB
% 7.68/3.71 % (1360521)Instructions burned: 693 (million)
% 7.68/3.71 % TRYING [20]
% 7.68/3.71 % TRYING [3]
% 7.68/3.71 % (1360529)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3999334792:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.68/3.71 % (1360530)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2743059223:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.68/3.71 % TRYING [8]
% 7.68/3.71 % TRYING [5]
% 7.68/3.71 % (1360529)Instruction limit reached!
% 7.68/3.71 % (1360529)------------------------------
% 7.68/3.71 % (1360529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360529)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360529)Termination reason: Instruction limit
% 7.68/3.71 % (1360529)Termination phase: Finite model building constraint generation
% 7.68/3.71 % (1360529)Time elapsed: 0.382 s
% 7.68/3.71 % (1360529)Peak memory usage: 47 MB
% 7.68/3.71 % (1360529)Instructions burned: 921 (million)
% 7.68/3.71 % (1360533)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3152192109:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.68/3.71 % TRYING [4]
% 7.68/3.71 % (1360533)Instruction limit reached!
% 7.68/3.71 % (1360533)------------------------------
% 7.68/3.71 % (1360533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360533)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360533)Termination reason: Instruction limit
% 7.68/3.71 % (1360533)Termination phase: Saturation
% 7.68/3.71 % (1360533)Time elapsed: 0.848 s
% 7.68/3.71 % (1360533)Peak memory usage: 31 MB
% 7.68/3.71 % (1360533)Instructions burned: 1472 (million)
% 7.68/3.71 % (1360535)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1083112892:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 7.68/3.71 % (1360535)Cannot represent all propositional literals internally
% 7.68/3.71 % (1360535)Refutation not found, incomplete strategy
% 7.68/3.71 % (1360535)------------------------------
% 7.68/3.71 % (1360535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360535)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360535)Termination reason: Refutation not found, incomplete strategy
% 7.68/3.71 % (1360535)Time elapsed: 0.201 s
% 7.68/3.71 % (1360535)Peak memory usage: 13 MB
% 7.68/3.71 % (1360535)Instructions burned: 388 (million)
% 7.68/3.71 % (1360535)------------------------------
% 7.68/3.71 % (1360535)------------------------------
% 7.68/3.71 % (1360537)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1784622954:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 7.68/3.71 % (1360527)Instruction limit reached!
% 7.68/3.71 % (1360527)------------------------------
% 7.68/3.71 % (1360527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360527)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360527)Termination reason: Instruction limit
% 7.68/3.71 % (1360527)Termination phase: Finite model building constraint generation
% 7.68/3.71 % (1360527)Time elapsed: 1.821 s
% 7.68/3.71 % (1360527)Peak memory usage: 571 MB
% 7.68/3.71 % (1360527)Instructions burned: 9520 (million)
% 7.68/3.71 % (1360539)ott-2_1_sil=16000:newcnf=on:random_seed=384709379:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 7.68/3.71 % (1360539)Instruction limit reached!
% 7.68/3.71 % (1360539)------------------------------
% 7.68/3.71 % (1360539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.71 % (1360539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.71 % (1360539)CaDiCaL version: 2.1.3
% 7.68/3.71 % (1360539)Termination reason: Instruction limit
% 7.68/3.71 % (1360539)Termination phase: Saturation
% 7.68/3.71 % (1360539)Time elapsed: 0.292 s
% 7.68/3.71 % (1360539)Peak memory usage: 18 MB
% 7.68/3.71 % (1360539)Instructions burned: 869 (million)
% 7.68/3.71 % (1360541)ott+10_1_sil=32000:tgt=ground:random_seed=914032438:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 7.68/3.71 % (1360541) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1360486-1360541"...
% 7.68/3.71 % (1360541)...printing done.
% 7.68/3.71 % (1360541)Refutation found. Thanks to Tanya!
% 7.68/3.71 % SZS status Unsatisfiable for theBenchmark
% 7.68/3.71 % SZS output start Proof for theBenchmark
% See solution above
% 7.68/3.72 % (1360541)------------------------------
% 7.68/3.72 % (1360541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/3.72 % (1360541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/3.72 % (1360541)CaDiCaL version: 2.1.3
% 7.68/3.72 % (1360541)Termination reason: Refutation
% 7.68/3.72 % (1360541)Time elapsed: 0.148 s
% 7.68/3.72 % (1360541)Peak memory usage: 16 MB
% 7.68/3.72 % (1360541)Instructions burned: 466 (million)
% 7.68/3.72 % (1360486)Success in time 3.307 s
% 7.68/3.72 % Vampire exiting
%------------------------------------------------------------------------------