%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM045-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:11:39 PM UTC 2026
% Result : Unsatisfiable 12.89s 2.76s
% Output : Refutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 97 ( 35 unt; 4 def)
% Number of atoms : 179 ( 46 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 145 ( 63 ~; 81 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 129 ( 0 sgn 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
| irreflexive(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive2) ).
fof(f176,negated_conjecture,
restrict(intersection(x,identity_relation),y,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_irreflexive_class_property7_1) ).
fof(f177,plain,
null_class = restrict(intersection(x,identity_relation),y,y),
inference(reorient_equations,[],[f176]) ).
fof(f178,negated_conjecture,
~ irreflexive(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_irreflexive_class_property7_2) ).
fof(f202,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
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(f246,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,cross_product(X1,X1)),complement(identity_relation))
| irreflexive(X0,X1) ),
inference(definition_unfolding,[],[f124,f28]) ).
fof(f269,plain,
null_class = intersection(intersection(x,identity_relation),cross_product(y,y)),
inference(definition_unfolding,[],[f177,f28]) ).
fof(f276,definition,
sF0 = intersection(x,identity_relation),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
intersection(x,identity_relation) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = cross_product(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
cross_product(y,y) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = intersection(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
intersection(sF0,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,plain,
null_class = sF2,
inference(definition_folding,[],[f269,f281,f279,f277]) ).
fof(f283,plain,
null_class = intersection(sF0,sF1),
inference(forward_demodulation,[],[f281,f282]) ).
fof(f295,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,null_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f283]) ).
fof(f296,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,identity_relation)
| member(X0,sF0) ),
inference(superposition,[],[f23,f277]) ).
fof(f298,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f299,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f300,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f312,plain,
! [X0] :
( ~ subclass(intersection(X0,sF1),complement(identity_relation))
| irreflexive(X0,y) ),
inference(superposition,[],[f246,f279]) ).
fof(f313,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f300,f3]) ).
fof(f320,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(x,X0),X1),identity_relation)
| subclass(intersection(x,X0),X1)
| member(not_subclass_element(intersection(x,X0),X1),sF0) ),
inference(resolution,[],[f300,f296]) ).
fof(f327,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f349,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f327,f70]) ).
fof(f363,plain,
! [X2,X0,X1] :
( subclass(intersection(X0,X1),intersection(X2,X0))
| ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
| subclass(intersection(X0,X1),intersection(X2,X0)) ),
inference(resolution,[],[f308,f300]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)
| subclass(intersection(X0,X1),intersection(X2,X0)) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| subclass(X0,intersection(X2,X1))
| subclass(X0,intersection(X2,X1))
| ~ member(not_subclass_element(X0,intersection(X2,X1)),X2) ),
inference(resolution,[],[f298,f308]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X2,X1)),X2)
| subclass(X0,intersection(X2,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f400,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f349]) ).
fof(f401,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f400]) ).
fof(f402,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f401,f327]) ).
fof(f425,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f203,f402]) ).
fof(f426,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f425]) ).
fof(f457,plain,
! [X0] : intersection(X0,sF1) = intersection(sF1,X0),
inference(superposition,[],[f202,f279]) ).
fof(f501,plain,
! [X0] :
( ~ subclass(intersection(sF1,X0),complement(identity_relation))
| irreflexive(X0,y) ),
inference(superposition,[],[f312,f457]) ).
fof(f506,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f386,f2]) ).
fof(f522,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f524,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f522,f7]) ).
fof(f543,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f524,f327]) ).
fof(f544,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f543,f4]) ).
fof(f555,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[],[f299,f544]) ).
fof(f668,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f669,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f673,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f68,f426]) ).
fof(f730,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f426,f673]) ).
fof(f736,plain,
! [X2,X0,X1] :
( member(regular(intersection(intersection(X0,X1),X2)),X1)
| null_class = intersection(intersection(X0,X1),X2) ),
inference(resolution,[],[f669,f22]) ).
fof(f808,plain,
! [X0] :
( null_class = intersection(X0,sF1)
| member(regular(intersection(X0,sF1)),null_class)
| ~ member(regular(intersection(X0,sF1)),sF0) ),
inference(resolution,[],[f668,f295]) ).
fof(f946,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(resolution,[],[f25,f3]) ).
fof(f954,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(forward_subsumption_resolution,[],[f946,f555]) ).
fof(f2127,definition,
( spl3_37
<=> subclass(intersection(sF1,x),complement(identity_relation)) ),
introduced(definition,[new_symbols(definition,[spl3_37])],[avatar_definition]) ).
fof(f2128,plain,
( ~ subclass(intersection(sF1,x),complement(identity_relation))
| spl3_37 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2129,plain,
( subclass(intersection(sF1,x),complement(identity_relation))
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2592,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),intersection(X1,X0))
| subclass(intersection(X0,X1),intersection(X1,X0)) ),
inference(resolution,[],[f370,f299]) ).
fof(f2643,plain,
! [X0,X1] : subclass(intersection(X0,X1),intersection(X1,X0)),
inference(duplicate_literal_removal,[],[f2592]) ).
fof(f2662,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,X1),intersection(X1,X0))
| intersection(X0,X1) = intersection(X1,X0) ),
inference(resolution,[],[f2643,f7]) ).
fof(f2700,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(forward_subsumption_resolution,[],[f2662,f2643]) ).
fof(f2803,plain,
! [X0] : intersection(universal_class,X0) = X0,
inference(superposition,[],[f544,f2700]) ).
fof(f2944,plain,
! [X0] :
( ~ member(regular(intersection(X0,sF1)),sF0)
| null_class = intersection(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f808,f730]) ).
fof(f5318,plain,
! [X0] :
( null_class = intersection(intersection(X0,sF0),sF1)
| null_class = intersection(intersection(X0,sF0),sF1) ),
inference(resolution,[],[f2944,f736]) ).
fof(f5330,plain,
! [X0] : null_class = intersection(intersection(X0,sF0),sF1),
inference(duplicate_literal_removal,[],[f5318]) ).
fof(f5355,plain,
! [X0,X1] :
( member(X0,null_class)
| ~ member(X0,sF1)
| ~ member(X0,intersection(X1,sF0)) ),
inference(superposition,[],[f23,f5330]) ).
fof(f5397,plain,
! [X0,X1] :
( ~ member(X0,intersection(X1,sF0))
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f5355,f730]) ).
fof(f5427,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f5397,f2803]) ).
fof(f5735,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(sF1,X0),X1),sF0)
| subclass(intersection(sF1,X0),X1) ),
inference(resolution,[],[f5427,f300]) ).
fof(f6709,plain,
( irreflexive(x,y)
| ~ spl3_37 ),
inference(resolution,[],[f2129,f501]) ).
fof(f6724,plain,
( $false
| ~ spl3_37 ),
inference(forward_subsumption_resolution,[],[f6709,f178]) ).
fof(f6725,plain,
~ spl3_37,
inference(avatar_contradiction_clause,[],[f6724]) ).
fof(f10520,plain,
! [X0] :
( ~ member(not_subclass_element(intersection(sF1,x),X0),identity_relation)
| subclass(intersection(sF1,x),X0)
| member(not_subclass_element(intersection(sF1,x),X0),sF0) ),
inference(superposition,[],[f320,f457]) ).
fof(f10527,plain,
! [X0] :
( ~ member(not_subclass_element(intersection(sF1,x),X0),identity_relation)
| subclass(intersection(sF1,x),X0) ),
inference(forward_subsumption_resolution,[],[f10520,f5735]) ).
fof(f11080,plain,
( subclass(intersection(sF1,x),complement(identity_relation))
| subclass(intersection(sF1,x),complement(identity_relation)) ),
inference(resolution,[],[f954,f10527]) ).
fof(f11128,plain,
subclass(intersection(sF1,x),complement(identity_relation)),
inference(duplicate_literal_removal,[],[f11080]) ).
fof(f11148,plain,
( $false
| spl3_37 ),
inference(forward_subsumption_resolution,[],[f11128,f2128]) ).
fof(f11149,plain,
spl3_37,
inference(avatar_contradiction_clause,[],[f11148]) ).
cnf(s153,plain,
~ spl3_37,
inference(sat_conversion,[],[f6725]) ).
cnf(s351,plain,
spl3_37,
inference(sat_conversion,[],[f11149]) ).
cnf(s360,plain,
$false,
inference(rat,[],[s153,s351]) ).
fof(f11164,plain,
$false,
inference(avatar_sat_refutation,[],[s360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM045-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 18:42:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.37/2.62 % (98250)Input is clausal, will run a generic CNF schedule.
% 12.37/2.62 % (98259)lrs+10_1_sil=8000:sp=occurrence:random_seed=3483759571:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.37/2.62 % (98259)Instruction limit reached!
% 12.37/2.62 % (98259)------------------------------
% 12.37/2.62 % (98259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.62 % (98259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.62 % (98259)CaDiCaL version: 2.1.3
% 12.37/2.62 % (98259)Termination reason: Instruction limit
% 12.37/2.62 % (98259)Termination phase: Saturation
% 12.37/2.62 % (98259)Time elapsed: 0.023 s
% 12.37/2.62 % (98259)Peak memory usage: 88 MB
% 12.37/2.62 % (98259)Instructions burned: 111 (million)
% 12.37/2.62 % (98260)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=272223486:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.37/2.62 % (98262)dis-21_1_sil=8000:lcm=predicate:random_seed=2825951356:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.37/2.62 % (98257)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2664313924:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.37/2.62 % (98261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2779016270:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.37/2.62 % (98256)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3248564135:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.37/2.62 % (98258)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2471513544:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.37/2.62 % (98262)Instruction limit reached!
% 12.37/2.62 % (98262)------------------------------
% 12.37/2.62 % (98262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.62 % (98262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.62 % (98262)CaDiCaL version: 2.1.3
% 12.37/2.62 % (98262)Termination reason: Instruction limit
% 12.37/2.62 % (98262)Termination phase: Saturation
% 12.37/2.62 % (98262)Time elapsed: 0.056 s
% 12.37/2.62 % (98262)Peak memory usage: 89 MB
% 12.37/2.62 % (98262)Instructions burned: 118 (million)
% 12.37/2.62 % (98260)Instruction limit reached!
% 12.37/2.62 % (98260)------------------------------
% 12.37/2.62 % (98260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.62 % (98260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.62 % (98260)CaDiCaL version: 2.1.3
% 12.37/2.62 % (98260)Termination reason: Instruction limit
% 12.37/2.62 % (98260)Termination phase: Saturation
% 12.37/2.62 % (98260)Time elapsed: 0.073 s
% 12.37/2.62 % (98260)Peak memory usage: 89 MB
% 12.37/2.62 % (98260)Instructions burned: 116 (million)
% 12.37/2.62 % (98264)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3354703705:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.37/2.62 % (98264)Refutation not found, incomplete strategy
% 12.37/2.62 % (98264)------------------------------
% 12.37/2.62 % (98264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.62 % (98264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.62 % (98264)CaDiCaL version: 2.1.3
% 12.37/2.62 % (98264)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.62 % (98264)Time elapsed: 0.002 s
% 12.37/2.62 % (98264)Peak memory usage: 88 MB
% 12.37/2.62 % (98264)Instructions burned: 3 (million)
% 12.37/2.62 % (98261)Instruction limit reached!
% 12.37/2.62 % (98261)------------------------------
% 12.37/2.62 % (98261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.62 % (98261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.62 % (98261)CaDiCaL version: 2.1.3
% 12.37/2.62 % (98261)Termination reason: Instruction limit
% 12.37/2.62 % (98261)Termination phase: Saturation
% 12.37/2.62 % (98261)Time elapsed: 0.139 s
% 12.37/2.62 % (98261)Peak memory usage: 90 MB
% 12.37/2.62 % (98261)Instructions burned: 181 (million)
% 12.37/2.62 % (98271)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1589405216:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.89/2.76 % (98272)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2164705632:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.89/2.76 % (98272)Refutation not found, incomplete strategy
% 12.89/2.76 % (98272)------------------------------
% 12.89/2.76 % (98272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98272)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98272)Termination reason: Refutation not found, incomplete strategy
% 12.89/2.76 % (98272)Time elapsed: 0.004 s
% 12.89/2.76 % (98272)Peak memory usage: 88 MB
% 12.89/2.76 % (98272)Instructions burned: 5 (million)
% 12.89/2.76 % (98264)------------------------------
% 12.89/2.76 % (98264)------------------------------
% 12.89/2.76 % (98274)lrs+10_64_to=lpo:sil=8000:random_seed=3790056798:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.89/2.76 % (98271)Instruction limit reached!
% 12.89/2.76 % (98271)------------------------------
% 12.89/2.76 % (98271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98271)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98271)Termination reason: Instruction limit
% 12.89/2.76 % (98271)Termination phase: Saturation
% 12.89/2.76 % (98271)Time elapsed: 0.111 s
% 12.89/2.76 % (98271)Peak memory usage: 91 MB
% 12.89/2.76 % (98271)Instructions burned: 190 (million)
% 12.89/2.76 % (98274)Instruction limit reached!
% 12.89/2.76 % (98274)------------------------------
% 12.89/2.76 % (98274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98274)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98274)Termination reason: Instruction limit
% 12.89/2.76 % (98274)Termination phase: Saturation
% 12.89/2.76 % (98274)Time elapsed: 0.080 s
% 12.89/2.76 % (98274)Peak memory usage: 89 MB
% 12.89/2.76 % (98274)Instructions burned: 127 (million)
% 12.89/2.76 % (98277)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=175054671:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.89/2.76 % (98277)Instruction limit reached!
% 12.89/2.76 % (98277)------------------------------
% 12.89/2.76 % (98277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98277)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98277)Termination reason: Instruction limit
% 12.89/2.76 % (98277)Termination phase: Saturation
% 12.89/2.76 % (98277)Time elapsed: 0.068 s
% 12.89/2.76 % (98277)Peak memory usage: 90 MB
% 12.89/2.76 % (98277)Instructions burned: 195 (million)
% 12.89/2.76 % (98279)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2016616494:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.89/2.76 % (98272)------------------------------
% 12.89/2.76 % (98272)------------------------------
% 12.89/2.76 % (98281)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2449123843:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.89/2.76 % (98282)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1220811478:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.89/2.76 % (98279)Instruction limit reached!
% 12.89/2.76 % (98279)------------------------------
% 12.89/2.76 % (98279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98279)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98279)Termination reason: Instruction limit
% 12.89/2.76 % (98279)Termination phase: Saturation
% 12.89/2.76 % (98279)Time elapsed: 0.113 s
% 12.89/2.76 % (98279)Peak memory usage: 91 MB
% 12.89/2.76 % (98279)Instructions burned: 157 (million)
% 12.89/2.76 % (98282)Instruction limit reached!
% 12.89/2.76 % (98282)------------------------------
% 12.89/2.76 % (98282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98282)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98282)Termination reason: Instruction limit
% 12.89/2.76 % (98282)Termination phase: Saturation
% 12.89/2.76 % (98282)Time elapsed: 0.031 s
% 12.89/2.76 % (98282)Peak memory usage: 89 MB
% 12.89/2.76 % (98282)Instructions burned: 106 (million)
% 12.89/2.76 % (98284)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1254775278:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.89/2.76 % (98284)Refutation not found, incomplete strategy
% 12.89/2.76 % (98284)------------------------------
% 12.89/2.76 % (98284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98284)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98284)Termination reason: Refutation not found, incomplete strategy
% 12.89/2.76 % (98284)Time elapsed: 0.009 s
% 12.89/2.76 % (98284)Peak memory usage: 89 MB
% 12.89/2.76 % (98284)Instructions burned: 14 (million)
% 12.89/2.76 % (98287)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3154436253:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.89/2.76 % (98288)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4283865281:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.89/2.76 % (98284)------------------------------
% 12.89/2.76 % (98284)------------------------------
% 12.89/2.76 % (98287)Instruction limit reached!
% 12.89/2.76 % (98287)------------------------------
% 12.89/2.76 % (98287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98287)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98287)Termination reason: Instruction limit
% 12.89/2.76 % (98287)Termination phase: Saturation
% 12.89/2.76 % (98287)Time elapsed: 0.161 s
% 12.89/2.76 % (98287)Peak memory usage: 90 MB
% 12.89/2.76 % (98287)Instructions burned: 243 (million)
% 12.89/2.76 % (98292)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2438238029:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 12.89/2.76 % (98293)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1845951919:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.89/2.76 % (98292)Instruction limit reached!
% 12.89/2.76 % (98292)------------------------------
% 12.89/2.76 % (98292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98292)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98292)Termination reason: Instruction limit
% 12.89/2.76 % (98292)Termination phase: Saturation
% 12.89/2.76 % (98292)Time elapsed: 0.094 s
% 12.89/2.76 % (98292)Peak memory usage: 89 MB
% 12.89/2.76 % (98292)Instructions burned: 135 (million)
% 12.89/2.76 % (98296)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2543069451:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 12.89/2.76 % (98293)Instruction limit reached!
% 12.89/2.76 % (98293)------------------------------
% 12.89/2.76 % (98293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98293)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98293)Termination reason: Instruction limit
% 12.89/2.76 % (98293)Termination phase: Saturation
% 12.89/2.76 % (98293)Time elapsed: 0.296 s
% 12.89/2.76 % (98293)Peak memory usage: 93 MB
% 12.89/2.76 % (98293)Instructions burned: 500 (million)
% 12.89/2.76 % (98296)Instruction limit reached!
% 12.89/2.76 % (98296)------------------------------
% 12.89/2.76 % (98296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98296)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98296)Termination reason: Instruction limit
% 12.89/2.76 % (98296)Termination phase: Saturation
% 12.89/2.76 % (98296)Time elapsed: 0.114 s
% 12.89/2.76 % (98296)Peak memory usage: 89 MB
% 12.89/2.76 % (98296)Instructions burned: 192 (million)
% 12.89/2.76 % (98256)First to succeed.
% 12.89/2.76 % (98256)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-98250"
% 12.89/2.76 % (98298)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1060376512:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 12.89/2.76 % (98299)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3726998800:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 12.89/2.76 % (98298)Instruction limit reached!
% 12.89/2.76 % (98298)------------------------------
% 12.89/2.76 % (98298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98298)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98298)Termination reason: Instruction limit
% 12.89/2.76 % (98298)Termination phase: Saturation
% 12.89/2.76 % (98298)Time elapsed: 0.166 s
% 12.89/2.76 % (98298)Peak memory usage: 92 MB
% 12.89/2.76 % (98298)Instructions burned: 265 (million)
% 12.89/2.76 % (98299)Instruction limit reached!
% 12.89/2.76 % (98299)------------------------------
% 12.89/2.76 % (98299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.89/2.76 % (98299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.76 % (98299)CaDiCaL version: 2.1.3
% 12.89/2.76 % (98299)Termination reason: Instruction limit
% 12.89/2.76 % (98299)Termination phase: Saturation
% 12.89/2.76 % (98299)Time elapsed: 0.108 s
% 12.89/2.76 % (98299)Peak memory usage: 90 MB
% 12.89/2.76 % (98299)Instructions burned: 157 (million)
% 12.89/2.76 % (98256)Refutation found. Thanks to Tanya!
% 12.89/2.76 % SZS status Unsatisfiable for theBenchmark
% 12.89/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 14.04/2.96 % (98256)------------------------------
% 14.04/2.96 % (98256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.96 % (98256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.96 % (98256)CaDiCaL version: 2.1.3
% 14.04/2.96 % (98256)Termination reason: Refutation
% 14.04/2.96 % (98256)Time elapsed: 1.468 s
% 14.04/2.96 % (98256)Peak memory usage: 140 MB
% 14.04/2.96 % (98256)Instructions burned: 2231 (million)
% 14.04/2.96 % (98256)------------------------------
% 14.04/2.96 % (98256)------------------------------
% 14.04/2.96 % (98250)Success in time 1.905 s
% 14.04/2.96 % Vampire exiting
%------------------------------------------------------------------------------