%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM058-1 : 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 : n016.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 12:17:53 PM UTC 2026
% Result : Unsatisfiable 20.13s 5.73s
% Output : Refutation 20.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 84 ( 36 unt; 4 def)
% Number of atoms : 144 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 109 ( 49 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 99 ( 99 !; 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(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
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(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(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(f63,axiom,
! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',function1) ).
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(f133,axiom,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(restrict(X0,X1,singleton(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',segment) ).
fof(f163,axiom,
! [X0,X1] :
( ~ member(X0,recursion_equation_functions(X1))
| function(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',recursion_equation_functions1) ).
fof(f176,negated_conjecture,
~ member(z,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_segments_property2_1) ).
fof(f177,negated_conjecture,
segment(xr,y,z) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_segments_property2_2) ).
fof(f178,plain,
null_class != segment(xr,y,z),
inference(reorient_equations,[],[f177]) ).
fof(f179,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(f193,plain,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(intersection(X0,cross_product(X1,unordered_pair(X2,X2)))),
inference(definition_unfolding,[],[f133,f28,f12]) ).
fof(f197,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,f179]) ).
fof(f199,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,f179]) ).
fof(f203,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(f269,plain,
null_class != domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),
inference(definition_unfolding,[],[f178,f193]) ).
fof(f276,definition,
sF0 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
unordered_pair(z,z) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = cross_product(y,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
cross_product(y,sF0) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = intersection(xr,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
intersection(xr,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f283,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f282]) ).
fof(f284,plain,
null_class != sF3,
inference(definition_folding,[],[f269,f283,f281,f279,f277]) ).
fof(f293,plain,
! [X0] :
( function(X0)
| null_class = recursion_equation_functions(X0) ),
inference(resolution,[],[f68,f163]) ).
fof(f303,plain,
! [X0,X1] :
( subclass(recursion_equation_functions(X0),X1)
| function(X0) ),
inference(resolution,[],[f2,f163]) ).
fof(f311,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f318,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f281]) ).
fof(f325,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF1)
| subclass(sF2,X0) ),
inference(resolution,[],[f318,f2]) ).
fof(f338,plain,
! [X2,X0,X1] :
( member(unordered_pair(X1,X2),X0)
| ~ subclass(universal_class,X0) ),
inference(resolution,[],[f1,f11]) ).
fof(f404,plain,
! [X0] :
( ~ member(X0,sF0)
| z = X0
| z = X0 ),
inference(superposition,[],[f8,f277]) ).
fof(f405,plain,
! [X0] :
( ~ member(X0,sF0)
| z = X0 ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f407,plain,
( z = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f405,f68]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f503,plain,
( member(z,sF0)
| null_class = sF0
| null_class = sF0 ),
inference(superposition,[],[f68,f407]) ).
fof(f504,plain,
( member(z,sF0)
| null_class = sF0 ),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f540,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(X1,sF0) ),
inference(superposition,[],[f197,f279]) ).
fof(f666,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,[],[f199,f68]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ subclass(universal_class,cross_product(X0,X1))
| member(X2,X1) ),
inference(resolution,[],[f338,f197]) ).
fof(f772,plain,
( subclass(sF2,sF1)
| subclass(sF2,sF1) ),
inference(resolution,[],[f325,f3]) ).
fof(f774,plain,
subclass(sF2,sF1),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f781,plain,
( ~ subclass(sF1,sF2)
| sF1 = sF2 ),
inference(resolution,[],[f774,f7]) ).
fof(f1042,plain,
! [X0] :
( member(X0,universal_class)
| ~ function(universal_class) ),
inference(resolution,[],[f669,f63]) ).
fof(f1050,plain,
~ function(universal_class),
inference(resolution,[],[f1042,f176]) ).
fof(f1051,plain,
null_class = recursion_equation_functions(universal_class),
inference(resolution,[],[f1050,f293]) ).
fof(f1059,plain,
! [X0] :
( ~ member(X0,null_class)
| function(universal_class) ),
inference(superposition,[],[f163,f1051]) ).
fof(f1066,plain,
! [X0] :
( subclass(null_class,X0)
| function(universal_class) ),
inference(superposition,[],[f303,f1051]) ).
fof(f1071,plain,
! [X0] : subclass(null_class,X0),
inference(forward_subsumption_resolution,[],[f1066,f1050]) ).
fof(f1073,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1059,f1050]) ).
fof(f1129,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f311,f1073]) ).
fof(f1213,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f203,f1129]) ).
fof(f1222,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1213]) ).
fof(f1278,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1222,f68]) ).
fof(f1800,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f411,f4]) ).
fof(f3724,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),sF0)
| ~ member(regular(cross_product(X0,X1)),sF1)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f540,f666]) ).
fof(f8880,plain,
! [X0] :
( ~ member(z,X0)
| member(z,universal_class)
| null_class = sF0 ),
inference(resolution,[],[f1800,f504]) ).
fof(f8887,plain,
! [X0] :
( ~ member(z,X0)
| null_class = sF0 ),
inference(forward_subsumption_resolution,[],[f8880,f176]) ).
fof(f8906,plain,
( null_class = sF0
| null_class = sF0 ),
inference(resolution,[],[f8887,f504]) ).
fof(f8907,plain,
null_class = sF0,
inference(duplicate_literal_removal,[],[f8906]) ).
fof(f8966,plain,
sF1 = cross_product(y,null_class),
inference(superposition,[],[f279,f8907]) ).
fof(f32498,plain,
( member(second(regular(sF1)),sF0)
| ~ member(regular(sF1),sF1)
| null_class = sF1 ),
inference(superposition,[],[f3724,f8966]) ).
fof(f32505,plain,
( member(second(regular(sF1)),sF0)
| null_class = sF1 ),
inference(forward_subsumption_resolution,[],[f32498,f68]) ).
fof(f32512,plain,
( member(second(regular(sF1)),null_class)
| null_class = sF1 ),
inference(forward_demodulation,[],[f32505,f8907]) ).
fof(f32514,plain,
null_class = sF1,
inference(forward_subsumption_resolution,[],[f32512,f1073]) ).
fof(f32531,plain,
( ~ subclass(null_class,sF2)
| null_class = sF2 ),
inference(superposition,[],[f781,f32514]) ).
fof(f32638,plain,
null_class = sF2,
inference(forward_subsumption_resolution,[],[f32531,f1071]) ).
fof(f32866,plain,
sF3 = domain_of(null_class),
inference(superposition,[],[f283,f32638]) ).
fof(f32950,plain,
null_class = sF3,
inference(forward_demodulation,[],[f32866,f1278]) ).
fof(f32953,plain,
$false,
inference(forward_subsumption_resolution,[],[f32950,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 18:51:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 15.26/2.68 % (2927723)Will run a generic schedule for satisfiability detection.
% 15.26/2.68 % (2927732)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=489968622:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.26/2.68 % (2927729)% WARNING: option uhcvi not known.
% 15.26/2.68 % (2927729)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1868971798:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.26/2.68 % (2927728)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=402839822_2999 on theBenchmark for (2999ds/0Mi)
% 15.26/2.68 % (2927730)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3913890092:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.26/2.68 % (2927731)dis+10_1_sil=32000:sp=arity:random_seed=1260672392:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.26/2.68 % (2927734)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2654497928:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.26/2.68 % (2927733)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=738818005:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.26/2.68 % (2927732)Instruction limit reached!
% 15.26/2.68 % (2927732)------------------------------
% 15.26/2.68 % (2927732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.68 % (2927732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.68 % (2927732)CaDiCaL version: 2.1.3
% 15.26/2.68 % (2927732)Termination reason: Instruction limit
% 15.26/2.68 % (2927732)Termination phase: Saturation
% 15.26/2.68 % (2927732)Time elapsed: 0.039 s
% 15.26/2.68 % (2927732)Peak memory usage: 13 MB
% 15.26/2.68 % (2927732)Instructions burned: 117 (million)
% 15.26/2.68 % (2927742)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2984309434:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.26/2.68 % (2927731)Instruction limit reached!
% 15.26/2.68 % (2927731)------------------------------
% 15.26/2.68 % (2927731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.68 % (2927731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.68 % (2927731)CaDiCaL version: 2.1.3
% 15.26/2.68 % (2927731)Termination reason: Instruction limit
% 15.26/2.68 % (2927731)Termination phase: Saturation
% 15.26/2.68 % (2927731)Time elapsed: 0.072 s
% 15.26/2.68 % (2927731)Peak memory usage: 13 MB
% 15.26/2.68 % (2927731)Instructions burned: 104 (million)
% 15.26/2.68 % (2927744)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3041620407:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.26/2.68 % (2927733)Instruction limit reached!
% 15.26/2.68 % (2927733)------------------------------
% 15.26/2.68 % (2927733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.68 % (2927733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.68 % (2927733)CaDiCaL version: 2.1.3
% 15.26/2.68 % (2927733)Termination reason: Instruction limit
% 15.26/2.68 % (2927733)Termination phase: Saturation
% 15.26/2.68 % (2927733)Time elapsed: 0.086 s
% 15.26/2.68 % (2927733)Peak memory usage: 13 MB
% 15.26/2.68 % (2927733)Instructions burned: 131 (million)
% 15.26/2.68 % (2927746)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=1077040298:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.26/2.68 % (2927734)Instruction limit reached!
% 15.26/2.68 % (2927734)------------------------------
% 15.26/2.68 % (2927734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.68 % (2927734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.68 % (2927734)CaDiCaL version: 2.1.3
% 15.26/2.68 % (2927734)Termination reason: Instruction limit
% 15.26/2.68 % (2927734)Termination phase: Saturation
% 15.26/2.68 % (2927734)Time elapsed: 0.116 s
% 15.26/2.68 % (2927734)Peak memory usage: 14 MB
% 15.26/2.68 % (2927734)Instructions burned: 159 (million)
% 15.26/2.68 % (2927744)Instruction limit reached!
% 15.26/2.68 % (2927744)------------------------------
% 15.26/2.68 % (2927744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.68 % (2927744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.68 % (2927744)CaDiCaL version: 2.1.3
% 15.26/2.68 % (2927744)Termination reason: Instruction limit
% 15.26/2.68 % (2927744)Termination phase: Saturation
% 15.26/2.68 % (2927744)Time elapsed: 0.049 s
% 20.13/5.73 % (2927744)Peak memory usage: 13 MB
% 20.13/5.73 % (2927744)Instructions burned: 131 (million)
% 20.13/5.73 % (2927748)ott-21_1_sil=16000:fs=off:random_seed=3793182539:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.13/5.73 % (2927749)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=359120247:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.13/5.73 % TRYING [1]
% 20.13/5.73 % TRYING [2]
% 20.13/5.73 % (2927748)Instruction limit reached!
% 20.13/5.73 % (2927748)------------------------------
% 20.13/5.73 % (2927748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927748)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927748)Termination reason: Instruction limit
% 20.13/5.73 % (2927748)Termination phase: Saturation
% 20.13/5.73 % (2927748)Time elapsed: 0.101 s
% 20.13/5.73 % (2927748)Peak memory usage: 13 MB
% 20.13/5.73 % (2927748)Instructions burned: 182 (million)
% 20.13/5.73 % TRYING [3]
% 20.13/5.73 % (2927752)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1287978704:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.13/5.73 % TRYING [1]
% 20.13/5.73 % TRYING [2]
% 20.13/5.73 % TRYING [3]
% 20.13/5.73 % (2927749)Instruction limit reached!
% 20.13/5.73 % (2927749)------------------------------
% 20.13/5.73 % (2927749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927749)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927749)Termination reason: Instruction limit
% 20.13/5.73 % (2927749)Termination phase: Saturation
% 20.13/5.73 % (2927749)Time elapsed: 0.189 s
% 20.13/5.73 % (2927749)Peak memory usage: 14 MB
% 20.13/5.73 % (2927749)Instructions burned: 479 (million)
% 20.13/5.73 % (2927754)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4111222962:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 20.13/5.73 % (2927742)Instruction limit reached!
% 20.13/5.73 % (2927742)------------------------------
% 20.13/5.73 % (2927742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927742)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927742)Termination reason: Instruction limit
% 20.13/5.73 % (2927742)Termination phase: Finite model building constraint generation
% 20.13/5.73 % (2927742)Time elapsed: 0.341 s
% 20.13/5.73 % (2927742)Peak memory usage: 35 MB
% 20.13/5.73 % (2927742)Instructions burned: 716 (million)
% 20.13/5.73 % (2927756)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3501190343:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 20.13/5.73 % TRYING [4]
% 20.13/5.73 % TRYING [1]
% 20.13/5.73 % TRYING [2]
% 20.13/5.73 % (2927746)Instruction limit reached!
% 20.13/5.73 % (2927746)------------------------------
% 20.13/5.73 % (2927746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927746)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927746)Termination reason: Instruction limit
% 20.13/5.73 % (2927746)Termination phase: Saturation
% 20.13/5.73 % (2927746)Time elapsed: 0.416 s
% 20.13/5.73 % (2927746)Peak memory usage: 17 MB
% 20.13/5.73 % (2927746)Instructions burned: 684 (million)
% 20.13/5.73 % (2927758)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=753542775: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)
% 20.13/5.73 % TRYING [3]
% 20.13/5.73 % (2927752)Instruction limit reached!
% 20.13/5.73 % (2927752)------------------------------
% 20.13/5.73 % (2927752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927752)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927752)Termination reason: Instruction limit
% 20.13/5.73 % (2927752)Termination phase: Finite model building constraint generation
% 20.13/5.73 % (2927752)Time elapsed: 0.410 s
% 20.13/5.73 % (2927752)Peak memory usage: 27 MB
% 20.13/5.73 % (2927752)Instructions burned: 867 (million)
% 20.13/5.73 % (2927760)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3572752147:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 20.13/5.73 % (2927754)Instruction limit reached!
% 20.13/5.73 % (2927754)------------------------------
% 20.13/5.73 % (2927754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927754)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927754)Termination reason: Instruction limit
% 20.13/5.73 % (2927754)Termination phase: Saturation
% 20.13/5.73 % (2927754)Time elapsed: 0.374 s
% 20.13/5.73 % (2927754)Peak memory usage: 22 MB
% 20.13/5.73 % (2927754)Instructions burned: 1180 (million)
% 20.13/5.73 % (2927762)fmb+10_1_sil=64000:random_seed=4093942115:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 20.13/5.73 % TRYING [1]
% 20.13/5.73 % TRYING [2]
% 20.13/5.73 % (2927756)Instruction limit reached!
% 20.13/5.73 % (2927756)------------------------------
% 20.13/5.73 % (2927756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927756)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927756)Termination reason: Instruction limit
% 20.13/5.73 % (2927756)Termination phase: Finite model building constraint generation
% 20.13/5.73 % (2927756)Time elapsed: 0.448 s
% 20.13/5.73 % (2927756)Peak memory usage: 77 MB
% 20.13/5.73 % (2927756)Instructions burned: 891 (million)
% 20.13/5.73 % (2927764)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1405251806:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 20.13/5.73 % TRYING [3]
% 20.13/5.73 % (2927758)Instruction limit reached!
% 20.13/5.73 % (2927758)------------------------------
% 20.13/5.73 % (2927758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927758)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927758)Termination reason: Instruction limit
% 20.13/5.73 % (2927758)Termination phase: Saturation
% 20.13/5.73 % (2927758)Time elapsed: 0.436 s
% 20.13/5.73 % (2927758)Peak memory usage: 19 MB
% 20.13/5.73 % (2927758)Instructions burned: 693 (million)
% 20.13/5.73 % (2927766)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=994427830:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 20.13/5.73 % TRYING [20]
% 20.13/5.73 % (2927760)Instruction limit reached!
% 20.13/5.73 % (2927760)------------------------------
% 20.13/5.73 % (2927760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927760)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927760)Termination reason: Instruction limit
% 20.13/5.73 % (2927760)Termination phase: Saturation
% 20.13/5.73 % (2927760)Time elapsed: 0.494 s
% 20.13/5.73 % (2927760)Peak memory usage: 19 MB
% 20.13/5.73 % (2927760)Instructions burned: 879 (million)
% 20.13/5.73 % (2927768)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1635406036:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 20.13/5.73 % TRYING [8]
% 20.13/5.73 % TRYING [4]
% 20.13/5.73 % TRYING [5]
% 20.13/5.73 % (2927766)Instruction limit reached!
% 20.13/5.73 % (2927766)------------------------------
% 20.13/5.73 % (2927766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927766)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927766)Termination reason: Instruction limit
% 20.13/5.73 % (2927766)Termination phase: Finite model building constraint generation
% 20.13/5.73 % (2927766)Time elapsed: 0.385 s
% 20.13/5.73 % (2927766)Peak memory usage: 46 MB
% 20.13/5.73 % (2927766)Instructions burned: 923 (million)
% 20.13/5.73 % (2927770)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3752352580:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 20.13/5.73 % (2927770)Instruction limit reached!
% 20.13/5.73 % (2927770)------------------------------
% 20.13/5.73 % (2927770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927770)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927770)Termination reason: Instruction limit
% 20.13/5.73 % (2927770)Termination phase: Saturation
% 20.13/5.73 % (2927770)Time elapsed: 0.576 s
% 20.13/5.73 % (2927770)Peak memory usage: 20 MB
% 20.13/5.73 % (2927770)Instructions burned: 1473 (million)
% 20.13/5.73 % (2927772)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3235979850:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 20.13/5.73 % (2927772)Cannot represent all propositional literals internally
% 20.13/5.73 % (2927772)Refutation not found, incomplete strategy
% 20.13/5.73 % (2927772)------------------------------
% 20.13/5.73 % (2927772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927772)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927772)Termination reason: Refutation not found, incomplete strategy
% 20.13/5.73 % (2927772)Time elapsed: 0.214 s
% 20.13/5.73 % (2927772)Peak memory usage: 13 MB
% 20.13/5.73 % (2927772)Instructions burned: 406 (million)
% 20.13/5.73 % (2927772)------------------------------
% 20.13/5.73 % (2927772)------------------------------
% 20.13/5.73 % (2927774)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=95515064:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 20.13/5.73 % (2927774)Cannot represent all propositional literals internally
% 20.13/5.73 % (2927774)Refutation not found, incomplete strategy
% 20.13/5.73 % (2927774)------------------------------
% 20.13/5.73 % (2927774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927774)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927774)Termination reason: Refutation not found, incomplete strategy
% 20.13/5.73 % (2927774)Time elapsed: 1.122 s
% 20.13/5.73 % (2927774)Peak memory usage: 18 MB
% 20.13/5.73 % (2927774)Instructions burned: 2060 (million)
% 20.13/5.73 % (2927774)------------------------------
% 20.13/5.73 % (2927774)------------------------------
% 20.13/5.73 % TRYING [5]
% 20.13/5.73 % (2927776)ott-2_1_sil=16000:newcnf=on:random_seed=1545799027:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2965 on theBenchmark for (2965ds/869Mi)
% 20.13/5.73 % (2927776)Instruction limit reached!
% 20.13/5.73 % (2927776)------------------------------
% 20.13/5.73 % (2927776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927776)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927776)Termination reason: Instruction limit
% 20.13/5.73 % (2927776)Termination phase: Saturation
% 20.13/5.73 % (2927776)Time elapsed: 0.547 s
% 20.13/5.73 % (2927776)Peak memory usage: 18 MB
% 20.13/5.73 % (2927776)Instructions burned: 869 (million)
% 20.13/5.73 % (2927778)ott+10_1_sil=32000:tgt=ground:random_seed=3970566999:i=5114:av=off_2960 on theBenchmark for (2960ds/5114Mi)
% 20.13/5.73 % (2927768)Instruction limit reached!
% 20.13/5.73 % (2927768)------------------------------
% 20.13/5.73 % (2927768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927768)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927768)Termination reason: Instruction limit
% 20.13/5.73 % (2927768)Termination phase: Saturation
% 20.13/5.73 % (2927768)Time elapsed: 2.963 s
% 20.13/5.73 % (2927768)Peak memory usage: 37 MB
% 20.13/5.73 % (2927768)Instructions burned: 5132 (million)
% 20.13/5.73 % (2927780)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2065530208:i=54282_2957 on theBenchmark for (2957ds/54282Mi)
% 20.13/5.73 % (2927764)Instruction limit reached!
% 20.13/5.73 % (2927764)------------------------------
% 20.13/5.73 % (2927764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927764)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927764)Termination reason: Instruction limit
% 20.13/5.73 % (2927764)Termination phase: Finite model building constraint generation
% 20.13/5.73 % (2927764)Time elapsed: 3.338 s
% 20.13/5.73 % (2927764)Peak memory usage: 538 MB
% 20.13/5.73 % (2927764)Instructions burned: 9518 (million)
% 20.13/5.73 % (2927782)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2312379173:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 20.13/5.73 % TRYING [1]
% 20.13/5.73 % TRYING [2]
% 20.13/5.73 % TRYING [3]
% 20.13/5.73 % TRYING [4]
% 20.13/5.73 % TRYING [6]
% 20.13/5.73 % (2927778) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2927723-2927778"...
% 20.13/5.73 % (2927778)...printing done.
% 20.13/5.73 % (2927778)Refutation found. Thanks to Tanya!
% 20.13/5.73 % SZS status Unsatisfiable for theBenchmark
% 20.13/5.73 % SZS output start Proof for theBenchmark
% See solution above
% 20.13/5.73 % (2927778)------------------------------
% 20.13/5.73 % (2927778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.13/5.73 % (2927778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/5.73 % (2927778)CaDiCaL version: 2.1.3
% 20.13/5.73 % (2927778)Termination reason: Refutation
% 20.13/5.73 % (2927778)Time elapsed: 1.241 s
% 20.13/5.73 % (2927778)Peak memory usage: 27 MB
% 20.13/5.73 % (2927778)Instructions burned: 1963 (million)
% 20.13/5.73 % (2927723)Success in time 5.309 s
% 20.13/5.73 % Vampire exiting
%------------------------------------------------------------------------------