%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET247-6 : 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 12:43:32 PM UTC 2026
% Result : Unsatisfiable 27.33s 4.87s
% Output : Refutation 27.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 70 ( 26 unt; 2 def)
% Number of atoms : 124 ( 51 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 44 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 88 ( 88 !; 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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
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(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] :
( member(regular(X0),X0)
| null_class = 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 = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
restrict(xr,x,null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_with_null_class3_1) ).
fof(f123,plain,
null_class != restrict(xr,x,null_class),
inference(reorient_equations,[],[f122]) ).
fof(f128,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(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f140,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,f128]) ).
fof(f144,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f186,plain,
null_class != intersection(xr,cross_product(x,null_class)),
inference(definition_unfolding,[],[f123,f28]) ).
fof(f191,definition,
sF0 = cross_product(x,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(x,null_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = intersection(xr,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
intersection(xr,sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,plain,
null_class != sF1,
inference(definition_folding,[],[f186,f194,f192]) ).
fof(f197,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f198,plain,
! [X0,X1] :
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(resolution,[],[f2,f24]) ).
fof(f202,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,xr) ),
inference(superposition,[],[f21,f194]) ).
fof(f206,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f22,f68]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF0) ),
inference(superposition,[],[f22,f194]) ).
fof(f214,plain,
( member(regular(sF1),sF0)
| null_class = sF1 ),
inference(resolution,[],[f208,f68]) ).
fof(f216,plain,
member(regular(sF1),sF0),
inference(forward_subsumption_resolution,[],[f214,f195]) ).
fof(f218,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f219,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f226,plain,
! [X0] :
( member(regular(sF1),X0)
| ~ subclass(sF0,X0) ),
inference(resolution,[],[f1,f216]) ).
fof(f254,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f351,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,null_class) ),
inference(superposition,[],[f138,f192]) ).
fof(f415,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) = null_class ),
inference(resolution,[],[f140,f68]) ).
fof(f752,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class
| complement(X0) = null_class ),
inference(resolution,[],[f218,f197]) ).
fof(f766,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f810,plain,
! [X0,X1] :
( member(regular(intersection(null_class,X0)),X1)
| null_class = intersection(null_class,X0)
| null_class = X1 ),
inference(resolution,[],[f202,f254]) ).
fof(f830,plain,
! [X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),X1)
| null_class = intersection(X0,complement(X1)) ),
inference(resolution,[],[f206,f24]) ).
fof(f847,plain,
! [X0,X1] :
( ~ subclass(complement(X0),X0)
| subclass(complement(X0),X1)
| subclass(complement(X0),X1) ),
inference(resolution,[],[f219,f198]) ).
fof(f861,plain,
! [X0,X1] :
( ~ subclass(complement(X0),X0)
| subclass(complement(X0),X1) ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f1633,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),null_class)
| ~ member(regular(cross_product(X0,X1)),sF0)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f351,f415]) ).
fof(f2442,plain,
null_class = complement(universal_class),
inference(resolution,[],[f766,f4]) ).
fof(f2444,plain,
! [X0] : subclass(complement(universal_class),X0),
inference(resolution,[],[f861,f4]) ).
fof(f2446,plain,
! [X0] : subclass(null_class,X0),
inference(forward_demodulation,[],[f2444,f2442]) ).
fof(f4650,plain,
! [X0] :
( null_class = intersection(null_class,X0)
| null_class = sF1
| member(regular(intersection(null_class,X0)),xr) ),
inference(resolution,[],[f810,f204]) ).
fof(f4654,plain,
! [X0] :
( member(regular(intersection(null_class,X0)),xr)
| null_class = intersection(null_class,X0) ),
inference(forward_subsumption_resolution,[],[f4650,f195]) ).
fof(f5846,plain,
( null_class = intersection(null_class,complement(xr))
| null_class = intersection(null_class,complement(xr)) ),
inference(resolution,[],[f4654,f830]) ).
fof(f5852,plain,
null_class = intersection(null_class,complement(xr)),
inference(duplicate_literal_removal,[],[f5846]) ).
fof(f5901,plain,
! [X0] :
( member(X0,complement(xr))
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f5852]) ).
fof(f6148,plain,
! [X0] :
( ~ member(X0,xr)
| ~ member(X0,null_class) ),
inference(resolution,[],[f5901,f24]) ).
fof(f6265,plain,
! [X0] :
( ~ member(regular(intersection(null_class,X0)),null_class)
| null_class = intersection(null_class,X0) ),
inference(resolution,[],[f6148,f4654]) ).
fof(f6348,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(forward_subsumption_resolution,[],[f6265,f202]) ).
fof(f6783,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f6348]) ).
fof(f6812,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f6783]) ).
fof(f6853,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f6812,f68]) ).
fof(f6855,plain,
~ subclass(sF0,domain_of(null_class)),
inference(resolution,[],[f6812,f226]) ).
fof(f7051,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f6812,f6853]) ).
fof(f9250,plain,
( member(second(regular(sF0)),null_class)
| ~ member(regular(sF0),sF0)
| null_class = sF0 ),
inference(superposition,[],[f1633,f192]) ).
fof(f9251,plain,
( member(second(regular(sF0)),null_class)
| null_class = sF0 ),
inference(forward_subsumption_resolution,[],[f9250,f68]) ).
fof(f9253,plain,
null_class = sF0,
inference(forward_subsumption_resolution,[],[f9251,f7051]) ).
fof(f9367,plain,
~ subclass(null_class,domain_of(null_class)),
inference(superposition,[],[f6855,f9253]) ).
fof(f9369,plain,
$false,
inference(forward_subsumption_resolution,[],[f9367,f2446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET247-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % 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
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 01:12:16 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 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
% 18.60/3.07 % (1338293)Will run a generic schedule for satisfiability detection.
% 18.60/3.07 % (1338298)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2905861308_2999 on theBenchmark for (2999ds/0Mi)
% 18.60/3.07 % (1338300)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3201882442:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.60/3.07 % (1338301)dis+10_1_sil=32000:sp=arity:random_seed=1774624369:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.60/3.07 % (1338302)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3378822348:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.60/3.07 % (1338303)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2171931411:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.60/3.07 % (1338304)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3270801861:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.60/3.07 % (1338299)% WARNING: option uhcvi not known.
% 18.60/3.07 % (1338299)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2267554330:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.60/3.07 % (1338301)Instruction limit reached!
% 18.60/3.07 % (1338301)------------------------------
% 18.60/3.07 % (1338301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.60/3.07 % (1338301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.07 % (1338301)CaDiCaL version: 2.1.3
% 18.60/3.07 % (1338301)Termination reason: Instruction limit
% 18.60/3.07 % (1338301)Termination phase: Saturation
% 18.60/3.07 % (1338301)Time elapsed: 0.066 s
% 18.60/3.07 % (1338301)Peak memory usage: 13 MB
% 18.60/3.07 % (1338301)Instructions burned: 104 (million)
% 18.60/3.07 % (1338302)Instruction limit reached!
% 18.60/3.07 % (1338302)------------------------------
% 18.60/3.07 % (1338302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.60/3.07 % (1338302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.07 % (1338302)CaDiCaL version: 2.1.3
% 18.60/3.07 % (1338302)Termination reason: Instruction limit
% 18.60/3.07 % (1338302)Termination phase: Saturation
% 18.60/3.07 % (1338302)Time elapsed: 0.070 s
% 18.60/3.07 % (1338302)Peak memory usage: 13 MB
% 18.60/3.07 % (1338302)Instructions burned: 116 (million)
% 18.60/3.07 % (1338303)Instruction limit reached!
% 18.60/3.07 % (1338303)------------------------------
% 18.60/3.07 % (1338303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.60/3.07 % (1338303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.07 % (1338303)CaDiCaL version: 2.1.3
% 18.60/3.07 % (1338303)Termination reason: Instruction limit
% 18.60/3.07 % (1338303)Termination phase: Saturation
% 18.60/3.07 % (1338303)Time elapsed: 0.078 s
% 18.60/3.07 % (1338303)Peak memory usage: 13 MB
% 18.60/3.07 % (1338303)Instructions burned: 131 (million)
% 18.60/3.07 % (1338312)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4007666636:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.60/3.07 % (1338313)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1042112933:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.60/3.07 % (1338314)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=2816904051:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.60/3.07 % TRYING [1]
% 18.60/3.07 % TRYING [2]
% 18.60/3.07 % TRYING [3]
% 18.60/3.07 % (1338304)Instruction limit reached!
% 18.60/3.07 % (1338304)------------------------------
% 18.60/3.07 % (1338304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.60/3.07 % (1338304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.07 % (1338304)CaDiCaL version: 2.1.3
% 18.60/3.07 % (1338304)Termination reason: Instruction limit
% 18.60/3.07 % (1338304)Termination phase: Saturation
% 18.60/3.07 % (1338304)Time elapsed: 0.114 s
% 18.60/3.07 % (1338304)Peak memory usage: 14 MB
% 18.60/3.07 % (1338304)Instructions burned: 159 (million)
% 18.60/3.07 % (1338318)ott-21_1_sil=16000:fs=off:random_seed=2249188530:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.60/3.07 % (1338313)Instruction limit reached!
% 18.60/3.07 % (1338313)------------------------------
% 18.60/3.07 % (1338313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.60/3.07 % (1338313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338313)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338313)Termination reason: Instruction limit
% 27.33/4.87 % (1338313)Termination phase: Saturation
% 27.33/4.87 % (1338313)Time elapsed: 0.087 s
% 27.33/4.87 % (1338313)Peak memory usage: 13 MB
% 27.33/4.87 % (1338313)Instructions burned: 131 (million)
% 27.33/4.87 % (1338320)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1897550626:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 27.33/4.87 % TRYING [4]
% 27.33/4.87 % (1338318)Instruction limit reached!
% 27.33/4.87 % (1338318)------------------------------
% 27.33/4.87 % (1338318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338318)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338318)Termination reason: Instruction limit
% 27.33/4.87 % (1338318)Termination phase: Saturation
% 27.33/4.87 % (1338318)Time elapsed: 0.098 s
% 27.33/4.87 % (1338318)Peak memory usage: 13 MB
% 27.33/4.87 % (1338318)Instructions burned: 181 (million)
% 27.33/4.87 % (1338322)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4166969123:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 27.33/4.87 % TRYING [1]
% 27.33/4.87 % TRYING [2]
% 27.33/4.87 % TRYING [3]
% 27.33/4.87 % (1338312)Instruction limit reached!
% 27.33/4.87 % (1338312)------------------------------
% 27.33/4.87 % (1338312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338312)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338312)Termination reason: Instruction limit
% 27.33/4.87 % (1338312)Termination phase: Finite model building constraint generation
% 27.33/4.87 % (1338312)Time elapsed: 0.329 s
% 27.33/4.87 % (1338312)Peak memory usage: 34 MB
% 27.33/4.87 % (1338312)Instructions burned: 714 (million)
% 27.33/4.87 % (1338324)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1619519966:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 27.33/4.87 % TRYING [1]
% 27.33/4.87 % TRYING [2]
% 27.33/4.87 % (1338320)Instruction limit reached!
% 27.33/4.87 % (1338320)------------------------------
% 27.33/4.87 % (1338320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338320)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338320)Termination reason: Instruction limit
% 27.33/4.87 % (1338320)Termination phase: Saturation
% 27.33/4.87 % (1338320)Time elapsed: 0.342 s
% 27.33/4.87 % (1338320)Peak memory usage: 14 MB
% 27.33/4.87 % (1338320)Instructions burned: 477 (million)
% 27.33/4.87 % (1338314)Instruction limit reached!
% 27.33/4.87 % (1338314)------------------------------
% 27.33/4.87 % (1338314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338314)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338314)Termination reason: Instruction limit
% 27.33/4.87 % (1338314)Termination phase: Saturation
% 27.33/4.87 % (1338314)Time elapsed: 0.452 s
% 27.33/4.87 % (1338314)Peak memory usage: 19 MB
% 27.33/4.87 % (1338314)Instructions burned: 684 (million)
% 27.33/4.87 % (1338326)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=580060945:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 27.33/4.87 % (1338327)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=899635230: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)
% 27.33/4.87 % TRYING [3]
% 27.33/4.87 % (1338322)Instruction limit reached!
% 27.33/4.87 % (1338322)------------------------------
% 27.33/4.87 % (1338322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338322)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338322)Termination reason: Instruction limit
% 27.33/4.87 % (1338322)Termination phase: Finite model building constraint generation
% 27.33/4.87 % (1338322)Time elapsed: 0.400 s
% 27.33/4.87 % (1338322)Peak memory usage: 25 MB
% 27.33/4.87 % (1338322)Instructions burned: 865 (million)
% 27.33/4.87 % (1338330)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4020046957:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 27.33/4.87 % TRYING [5]
% 27.33/4.87 % (1338327)Instruction limit reached!
% 27.33/4.87 % (1338327)------------------------------
% 27.33/4.87 % (1338327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338327)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338327)Termination reason: Instruction limit
% 27.33/4.87 % (1338327)Termination phase: Saturation
% 27.33/4.87 % (1338327)Time elapsed: 0.405 s
% 27.33/4.87 % (1338327)Peak memory usage: 19 MB
% 27.33/4.87 % (1338327)Instructions burned: 694 (million)
% 27.33/4.87 % (1338332)fmb+10_1_sil=64000:random_seed=2936277930:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 27.33/4.87 % (1338326)Instruction limit reached!
% 27.33/4.87 % (1338326)------------------------------
% 27.33/4.87 % (1338326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338326)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338326)Termination reason: Instruction limit
% 27.33/4.87 % (1338326)Termination phase: Finite model building constraint generation
% 27.33/4.87 % (1338326)Time elapsed: 0.446 s
% 27.33/4.87 % (1338326)Peak memory usage: 76 MB
% 27.33/4.87 % (1338326)Instructions burned: 891 (million)
% 27.33/4.87 % (1338334)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3592945372:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 27.33/4.87 % (1338324)Instruction limit reached!
% 27.33/4.87 % (1338324)------------------------------
% 27.33/4.87 % (1338324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338324)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338324)Termination reason: Instruction limit
% 27.33/4.87 % (1338324)Termination phase: Saturation
% 27.33/4.87 % (1338324)Time elapsed: 0.687 s
% 27.33/4.87 % (1338324)Peak memory usage: 21 MB
% 27.33/4.87 % (1338324)Instructions burned: 1179 (million)
% 27.33/4.87 % (1338330)Instruction limit reached!
% 27.33/4.87 % (1338330)------------------------------
% 27.33/4.87 % (1338330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338330)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338330)Termination reason: Instruction limit
% 27.33/4.87 % (1338330)Termination phase: Saturation
% 27.33/4.87 % (1338330)Time elapsed: 0.464 s
% 27.33/4.87 % (1338330)Peak memory usage: 19 MB
% 27.33/4.87 % (1338330)Instructions burned: 880 (million)
% 27.33/4.87 % (1338336)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3649800738:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 27.33/4.87 % (1338337)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=95834693:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 27.33/4.87 % TRYING [1]
% 27.33/4.87 % TRYING [2]
% 27.33/4.87 % TRYING [20]
% 27.33/4.87 % TRYING [8]
% 27.33/4.87 % TRYING [3]
% 27.33/4.87 % (1338336)Instruction limit reached!
% 27.33/4.87 % (1338336)------------------------------
% 27.33/4.87 % (1338336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338336)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338336)Termination reason: Instruction limit
% 27.33/4.87 % (1338336)Termination phase: Finite model building constraint generation
% 27.33/4.87 % (1338336)Time elapsed: 0.380 s
% 27.33/4.87 % (1338336)Peak memory usage: 48 MB
% 27.33/4.87 % (1338336)Instructions burned: 921 (million)
% 27.33/4.87 % (1338340)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3998996514:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 27.33/4.87 % TRYING [4]
% 27.33/4.87 % (1338340)Instruction limit reached!
% 27.33/4.87 % (1338340)------------------------------
% 27.33/4.87 % (1338340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338340)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338340)Termination reason: Instruction limit
% 27.33/4.87 % (1338340)Termination phase: Saturation
% 27.33/4.87 % (1338340)Time elapsed: 0.848 s
% 27.33/4.87 % (1338340)Peak memory usage: 31 MB
% 27.33/4.87 % (1338340)Instructions burned: 1472 (million)
% 27.33/4.87 % (1338342)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2905508617:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 27.33/4.87 % (1338342)Cannot represent all propositional literals internally
% 27.33/4.87 % (1338342)Refutation not found, incomplete strategy
% 27.33/4.87 % (1338342)------------------------------
% 27.33/4.87 % (1338342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338342)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338342)Termination reason: Refutation not found, incomplete strategy
% 27.33/4.87 % (1338342)Time elapsed: 0.201 s
% 27.33/4.87 % (1338342)Peak memory usage: 13 MB
% 27.33/4.87 % (1338342)Instructions burned: 388 (million)
% 27.33/4.87 % (1338342)------------------------------
% 27.33/4.87 % (1338342)------------------------------
% 27.33/4.87 % (1338344)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2465015154:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 27.33/4.87 % TRYING [6]
% 27.33/4.87 % (1338344)Cannot represent all propositional literals internally
% 27.33/4.87 % (1338344)Refutation not found, incomplete strategy
% 27.33/4.87 % (1338344)------------------------------
% 27.33/4.87 % (1338344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338344)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338344)Termination reason: Refutation not found, incomplete strategy
% 27.33/4.87 % (1338344)Time elapsed: 1.067 s
% 27.33/4.87 % (1338344)Peak memory usage: 17 MB
% 27.33/4.87 % (1338344)Instructions burned: 1980 (million)
% 27.33/4.87 % (1338344)------------------------------
% 27.33/4.87 % (1338344)------------------------------
% 27.33/4.87 % (1338346)ott-2_1_sil=16000:newcnf=on:random_seed=3522611208:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2962 on theBenchmark for (2962ds/869Mi)
% 27.33/4.87 % (1338337)Instruction limit reached!
% 27.33/4.87 % (1338337)------------------------------
% 27.33/4.87 % (1338337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338337)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338337)Termination reason: Instruction limit
% 27.33/4.87 % (1338337)Termination phase: Saturation
% 27.33/4.87 % (1338337)Time elapsed: 2.842 s
% 27.33/4.87 % (1338337)Peak memory usage: 33 MB
% 27.33/4.87 % (1338337)Instructions burned: 5133 (million)
% 27.33/4.87 % (1338348)ott+10_1_sil=32000:tgt=ground:random_seed=3784296603:i=5114:av=off_2959 on theBenchmark for (2959ds/5114Mi)
% 27.33/4.87 % (1338346)Instruction limit reached!
% 27.33/4.87 % (1338346)------------------------------
% 27.33/4.87 % (1338346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338346)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338346)Termination reason: Instruction limit
% 27.33/4.87 % (1338346)Termination phase: Saturation
% 27.33/4.87 % (1338346)Time elapsed: 0.558 s
% 27.33/4.87 % (1338346)Peak memory usage: 19 MB
% 27.33/4.87 % (1338346)Instructions burned: 870 (million)
% 27.33/4.87 % (1338350)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3407260572:i=54282_2956 on theBenchmark for (2956ds/54282Mi)
% 27.33/4.87 % (1338334)Instruction limit reached!
% 27.33/4.87 % (1338334)------------------------------
% 27.33/4.87 % (1338334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338334)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338334)Termination reason: Instruction limit
% 27.33/4.87 % (1338334)Termination phase: Finite model building constraint generation
% 27.33/4.87 % (1338334)Time elapsed: 3.291 s
% 27.33/4.87 % (1338334)Peak memory usage: 571 MB
% 27.33/4.87 % (1338334)Instructions burned: 9516 (million)
% 27.33/4.87 % (1338348) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1338293-1338348"...
% 27.33/4.87 % (1338348)...printing done.
% 27.33/4.87 % (1338348)Refutation found. Thanks to Tanya!
% 27.33/4.87 % SZS status Unsatisfiable for theBenchmark
% 27.33/4.87 % SZS output start Proof for theBenchmark
% See solution above
% 27.33/4.87 % (1338348)------------------------------
% 27.33/4.87 % (1338348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.33/4.87 % (1338348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.33/4.87 % (1338348)CaDiCaL version: 2.1.3
% 27.33/4.87 % (1338348)Termination reason: Refutation
% 27.33/4.87 % (1338348)Time elapsed: 0.345 s
% 27.33/4.87 % (1338348)Peak memory usage: 17 MB
% 27.33/4.87 % (1338348)Instructions burned: 556 (million)
% 27.33/4.87 % (1338293)Success in time 4.467 s
% 27.33/4.87 % Vampire exiting
%------------------------------------------------------------------------------