%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET519-6 : 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 : 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 12:41:05 PM UTC 2026
% Result : Unsatisfiable 11.87s 2.57s
% Output : Refutation 12.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 70 ( 21 unt; 0 def)
% Number of atoms : 155 ( 54 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 58 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 112 ( 112 !; 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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ordered_pair) ).
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(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(f122,negated_conjecture,
ordered_pair(x,y) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_no_cycles_length_2_1) ).
fof(f123,plain,
x = ordered_pair(x,y),
inference(reorient_equations,[],[f122]) ).
fof(f136,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(f137,plain,
x = unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f123,f136]) ).
fof(f153,plain,
! [X0,X1] :
( null_class != intersection(cross_product(unordered_pair(X1,X1),universal_class),X0)
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f209,plain,
( member(unordered_pair(x,x),x)
| ~ member(unordered_pair(x,x),universal_class) ),
inference(superposition,[],[f9,f137]) ).
fof(f210,plain,
member(unordered_pair(x,x),x),
inference(forward_subsumption_resolution,[],[f209,f11]) ).
fof(f215,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f216,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f233,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f272,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f216,f3]) ).
fof(f280,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f282,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f280,f70]) ).
fof(f283,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f217,f3]) ).
fof(f291,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f298,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f315,plain,
member(x,universal_class),
inference(superposition,[],[f11,f137]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f296,f215]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f340,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f338,f2]) ).
fof(f349,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f398,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f282]) ).
fof(f399,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f401,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f399,f291]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f298,f233]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f448,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| member(X0,null_class) ),
inference(resolution,[],[f434,f9]) ).
fof(f538,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f153,f401]) ).
fof(f539,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f545,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f539,f68]) ).
fof(f553,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f539,f545]) ).
fof(f625,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f349,f7]) ).
fof(f632,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f625,f280]) ).
fof(f633,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f632,f4]) ).
fof(f641,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f633]) ).
fof(f705,plain,
! [X0] :
( ~ member(x,X0)
| null_class = unordered_pair(x,X0)
| x = regular(unordered_pair(x,X0))
| member(x,null_class) ),
inference(resolution,[],[f448,f315]) ).
fof(f706,plain,
! [X0] :
( ~ member(x,X0)
| null_class = unordered_pair(x,X0)
| x = regular(unordered_pair(x,X0)) ),
inference(forward_subsumption_resolution,[],[f705,f553]) ).
fof(f937,plain,
! [X0] :
( null_class = unordered_pair(x,unordered_pair(X0,x))
| x = regular(unordered_pair(x,unordered_pair(X0,x)))
| ~ member(x,universal_class) ),
inference(resolution,[],[f706,f10]) ).
fof(f939,plain,
! [X0] :
( x = regular(unordered_pair(x,unordered_pair(X0,x)))
| null_class = unordered_pair(x,unordered_pair(X0,x)) ),
inference(forward_subsumption_resolution,[],[f937,f315]) ).
fof(f1794,plain,
! [X0,X1] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,unordered_pair(X1,x)))
| null_class = unordered_pair(x,unordered_pair(X1,x))
| null_class = unordered_pair(x,unordered_pair(X1,x)) ),
inference(superposition,[],[f298,f939]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,unordered_pair(X1,x)))
| null_class = unordered_pair(x,unordered_pair(X1,x)) ),
inference(duplicate_literal_removal,[],[f1794]) ).
fof(f1810,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(x,unordered_pair(X1,x)))
| ~ member(X0,x)
| null_class = unordered_pair(x,unordered_pair(X1,x)) ),
inference(forward_subsumption_resolution,[],[f1801,f553]) ).
fof(f2273,plain,
! [X0] :
( ~ member(unordered_pair(X0,x),x)
| null_class = unordered_pair(x,unordered_pair(X0,x))
| ~ member(unordered_pair(X0,x),universal_class) ),
inference(resolution,[],[f1810,f10]) ).
fof(f2293,plain,
! [X0] :
( ~ member(unordered_pair(X0,x),x)
| null_class = unordered_pair(x,unordered_pair(X0,x)) ),
inference(forward_subsumption_resolution,[],[f2273,f641]) ).
fof(f2294,plain,
null_class = unordered_pair(x,unordered_pair(x,x)),
inference(resolution,[],[f2293,f210]) ).
fof(f2325,plain,
( member(unordered_pair(x,x),null_class)
| ~ member(unordered_pair(x,x),universal_class) ),
inference(superposition,[],[f10,f2294]) ).
fof(f2328,plain,
~ member(unordered_pair(x,x),universal_class),
inference(forward_subsumption_resolution,[],[f2325,f553]) ).
fof(f2385,plain,
$false,
inference(forward_subsumption_resolution,[],[f2328,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET519-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 02:02:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.87/2.57 % (1365516)Input is clausal, will run a generic CNF schedule.
% 11.87/2.57 % (1365522)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2869533318:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.87/2.57 % (1365525)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3775121145:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.87/2.57 % (1365523)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=119249658:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.87/2.57 % (1365524)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281953896:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.87/2.57 % (1365527)dis-21_1_sil=8000:lcm=predicate:random_seed=2471388758: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)
% 11.87/2.57 % (1365521)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=692939805:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.87/2.57 % (1365526)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4077849713:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.87/2.57 % (1365525)Refutation not found, incomplete strategy
% 11.87/2.57 % (1365525)------------------------------
% 11.87/2.57 % (1365525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365524)Refutation not found, incomplete strategy
% 11.87/2.57 % (1365524)------------------------------
% 11.87/2.57 % (1365524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365524)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365525)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365525)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.57 % (1365525)Time elapsed: 0.002 s
% 11.87/2.57 % (1365524)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.57 % (1365524)Time elapsed: 0.002 s
% 11.87/2.57 % (1365525)Peak memory usage: 87 MB
% 11.87/2.57 % (1365524)Peak memory usage: 87 MB
% 11.87/2.57 % (1365525)Instructions burned: 1 (million)
% 11.87/2.57 % (1365524)Instructions burned: 1 (million)
% 11.87/2.57 % (1365527)Instruction limit reached!
% 11.87/2.57 % (1365527)------------------------------
% 11.87/2.57 % (1365527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365527)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365527)Termination reason: Instruction limit
% 11.87/2.57 % (1365527)Termination phase: Saturation
% 11.87/2.57 % (1365527)Time elapsed: 0.070 s
% 11.87/2.57 % (1365527)Peak memory usage: 89 MB
% 11.87/2.57 % (1365527)Instructions burned: 117 (million)
% 11.87/2.57 % (1365526)Instruction limit reached!
% 11.87/2.57 % (1365526)------------------------------
% 11.87/2.57 % (1365526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365526)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365526)Termination reason: Instruction limit
% 11.87/2.57 % (1365526)Termination phase: Saturation
% 11.87/2.57 % (1365526)Time elapsed: 0.131 s
% 11.87/2.57 % (1365526)Peak memory usage: 90 MB
% 11.87/2.57 % (1365526)Instructions burned: 180 (million)
% 11.87/2.57 % (1365535)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=4138522219:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.87/2.57 % (1365535)Refutation not found, incomplete strategy
% 11.87/2.57 % (1365535)------------------------------
% 11.87/2.57 % (1365535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365535)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365535)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.57 % (1365535)Time elapsed: 0.002 s
% 11.87/2.57 % (1365535)Peak memory usage: 88 MB
% 11.87/2.57 % (1365535)Instructions burned: 1 (million)
% 11.87/2.57 % (1365524)------------------------------
% 11.87/2.57 % (1365524)------------------------------
% 11.87/2.57 % (1365525)------------------------------
% 11.87/2.57 % (1365525)------------------------------
% 11.87/2.57 % (1365536)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1493194105:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.87/2.57 % (1365539)lrs+10_64_to=lpo:sil=8000:random_seed=535416382:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.87/2.57 % (1365538)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3646469870:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 11.87/2.57 % (1365536)Instruction limit reached!
% 11.87/2.57 % (1365536)------------------------------
% 11.87/2.57 % (1365536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365536)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365536)Termination reason: Instruction limit
% 11.87/2.57 % (1365536)Termination phase: Saturation
% 11.87/2.57 % (1365536)Time elapsed: 0.110 s
% 11.87/2.57 % (1365536)Peak memory usage: 91 MB
% 11.87/2.57 % (1365536)Instructions burned: 191 (million)
% 11.87/2.57 % (1365539)Instruction limit reached!
% 11.87/2.57 % (1365539)------------------------------
% 11.87/2.57 % (1365539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365539)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365539)Termination reason: Instruction limit
% 11.87/2.57 % (1365539)Termination phase: Saturation
% 11.87/2.57 % (1365539)Time elapsed: 0.045 s
% 11.87/2.57 % (1365539)Peak memory usage: 90 MB
% 11.87/2.57 % (1365539)Instructions burned: 128 (million)
% 11.87/2.57 % (1365535)------------------------------
% 11.87/2.57 % (1365535)------------------------------
% 11.87/2.57 % (1365543)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3635086750:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.87/2.57 % (1365538)Instruction limit reached!
% 11.87/2.57 % (1365538)------------------------------
% 11.87/2.57 % (1365538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365538)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365538)Termination reason: Instruction limit
% 11.87/2.57 % (1365538)Termination phase: Saturation
% 11.87/2.57 % (1365538)Time elapsed: 0.126 s
% 11.87/2.57 % (1365538)Peak memory usage: 90 MB
% 11.87/2.57 % (1365538)Instructions burned: 221 (million)
% 11.87/2.57 % (1365544)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=579716020:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.87/2.57 % (1365543)Instruction limit reached!
% 11.87/2.57 % (1365543)------------------------------
% 11.87/2.57 % (1365543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365543)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365543)Termination reason: Instruction limit
% 11.87/2.57 % (1365543)Termination phase: Saturation
% 11.87/2.57 % (1365543)Time elapsed: 0.064 s
% 11.87/2.57 % (1365543)Peak memory usage: 89 MB
% 11.87/2.57 % (1365543)Instructions burned: 196 (million)
% 11.87/2.57 % (1365545)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1728446913:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.87/2.57 % (1365544)Instruction limit reached!
% 11.87/2.57 % (1365544)------------------------------
% 11.87/2.57 % (1365544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365544)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365544)Termination reason: Instruction limit
% 11.87/2.57 % (1365544)Termination phase: Saturation
% 11.87/2.57 % (1365544)Time elapsed: 0.099 s
% 11.87/2.57 % (1365544)Peak memory usage: 91 MB
% 11.87/2.57 % (1365544)Instructions burned: 157 (million)
% 11.87/2.57 % (1365547)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=2403684523:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 11.87/2.57 % (1365547)Refutation not found, incomplete strategy
% 11.87/2.57 % (1365547)------------------------------
% 11.87/2.57 % (1365547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365547)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365547)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.57 % (1365547)Time elapsed: 0.002 s
% 11.87/2.57 % (1365547)Peak memory usage: 88 MB
% 11.87/2.57 % (1365547)Instructions burned: 1 (million)
% 11.87/2.57 % (1365549)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4096976514:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.87/2.57 % (1365549)Instruction limit reached!
% 11.87/2.57 % (1365549)------------------------------
% 11.87/2.57 % (1365549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365549)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365549)Termination reason: Instruction limit
% 11.87/2.57 % (1365549)Termination phase: Saturation
% 11.87/2.57 % (1365549)Time elapsed: 0.039 s
% 11.87/2.57 % (1365549)Peak memory usage: 89 MB
% 11.87/2.57 % (1365549)Instructions burned: 108 (million)
% 11.87/2.57 % (1365551)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4189532291:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.87/2.57 % (1365554)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4037080666:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 11.87/2.57 % (1365547)------------------------------
% 11.87/2.57 % (1365547)------------------------------
% 11.87/2.57 % (1365551)Instruction limit reached!
% 11.87/2.57 % (1365551)------------------------------
% 11.87/2.57 % (1365551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365551)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365551)Termination reason: Instruction limit
% 11.87/2.57 % (1365551)Termination phase: Saturation
% 11.87/2.57 % (1365551)Time elapsed: 0.161 s
% 11.87/2.57 % (1365551)Peak memory usage: 90 MB
% 11.87/2.57 % (1365551)Instructions burned: 243 (million)
% 11.87/2.57 % (1365557)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3979834924:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 11.87/2.57 % (1365557)Refutation not found, incomplete strategy
% 11.87/2.57 % (1365557)------------------------------
% 11.87/2.57 % (1365557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365557)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365557)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.57 % (1365557)Time elapsed: 0.002 s
% 11.87/2.57 % (1365557)Peak memory usage: 88 MB
% 11.87/2.57 % (1365558)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=542291925:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 11.87/2.57 % (1365557)------------------------------
% 11.87/2.57 % (1365557)------------------------------
% 11.87/2.57 % (1365545)First to succeed.
% 11.87/2.57 % (1365545)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1365516"
% 11.87/2.57 % (1365554)Also succeeded, but the first one will report.
% 11.87/2.57 % (1365558)Instruction limit reached!
% 11.87/2.57 % (1365558)------------------------------
% 11.87/2.57 % (1365558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.57 % (1365558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.57 % (1365558)CaDiCaL version: 2.1.3
% 11.87/2.57 % (1365558)Termination reason: Instruction limit
% 11.87/2.57 % (1365558)Termination phase: Saturation
% 11.87/2.57 % (1365558)Time elapsed: 0.287 s
% 11.87/2.57 % (1365558)Peak memory usage: 93 MB
% 11.87/2.57 % (1365558)Instructions burned: 499 (million)
% 11.87/2.57 % (1365561)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2932140638:i=191:fgj=on:bd=all_2984 on theBenchmark for (2984ds/191Mi)
% 11.87/2.57 % (1365545)Refutation found. Thanks to Tanya!
% 11.87/2.57 % SZS status Unsatisfiable for theBenchmark
% 11.87/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 12.63/2.77 % (1365545)------------------------------
% 12.63/2.77 % (1365545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/2.77 % (1365545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.77 % (1365545)CaDiCaL version: 2.1.3
% 12.63/2.77 % (1365545)Termination reason: Refutation
% 12.63/2.77 % (1365545)Time elapsed: 0.721 s
% 12.63/2.77 % (1365545)Peak memory usage: 132 MB
% 12.63/2.77 % (1365545)Instructions burned: 1350 (million)
% 12.63/2.77 % (1365545)------------------------------
% 12.63/2.77 % (1365545)------------------------------
% 12.63/2.77 % (1365516)Success in time 1.709 s
% 12.63/2.77 % Vampire exiting
%------------------------------------------------------------------------------