%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET205-6 : 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 : n018.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 12:40:30 PM UTC 2026
% Result : Unsatisfiable 8.64s 2.19s
% Output : Refutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 21 unt; 2 def)
% Number of atoms : 99 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 36 ~; 40 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 70 !; 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(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(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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',cartesian_product4) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
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,
cross_product(x,null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_with_null_class1_1) ).
fof(f123,plain,
null_class != cross_product(x,null_class),
inference(reorient_equations,[],[f122]) ).
fof(f128,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f128]) ).
fof(f144,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f190,definition,
sF0 = cross_product(x,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x,null_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,plain,
null_class != sF0,
inference(definition_folding,[],[f123,f191]) ).
fof(f196,plain,
! [X0] :
( ~ member(X0,sF0)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f140,f191]) ).
fof(f197,plain,
( regular(sF0) = unordered_pair(unordered_pair(first(regular(sF0)),first(regular(sF0))),unordered_pair(first(regular(sF0)),unordered_pair(second(regular(sF0)),second(regular(sF0)))))
| null_class = sF0 ),
inference(resolution,[],[f196,f68]) ).
fof(f198,plain,
regular(sF0) = unordered_pair(unordered_pair(first(regular(sF0)),first(regular(sF0))),unordered_pair(first(regular(sF0)),unordered_pair(second(regular(sF0)),second(regular(sF0))))),
inference(forward_subsumption_resolution,[],[f197,f192]) ).
fof(f223,definition,
( spl1_2
<=> member(regular(sF0),sF0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f224,plain,
( member(regular(sF0),sF0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( ~ member(regular(sF0),sF0)
| spl1_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f232,plain,
( null_class = sF0
| spl1_2 ),
inference(resolution,[],[f225,f68]) ).
fof(f233,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f232,f192]) ).
fof(f234,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f237,plain,
! [X0,X1] :
( ~ member(regular(sF0),cross_product(X0,X1))
| member(second(regular(sF0)),X1) ),
inference(superposition,[],[f138,f198]) ).
fof(f239,plain,
( ~ member(regular(sF0),sF0)
| member(second(regular(sF0)),null_class) ),
inference(superposition,[],[f237,f191]) ).
fof(f240,plain,
( member(second(regular(sF0)),null_class)
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f239,f224]) ).
fof(f245,plain,
( ! [X0] :
( member(second(regular(sF0)),X0)
| ~ subclass(null_class,X0) )
| ~ spl1_2 ),
inference(resolution,[],[f1,f240]) ).
fof(f279,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f286,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f303,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f279,f3]) ).
fof(f310,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f313,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f286,f3]) ).
fof(f320,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f323,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f310,f70]) ).
fof(f324,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f323,f7]) ).
fof(f326,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f327,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f326,f310]) ).
fof(f485,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f320,f327]) ).
fof(f492,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f327]) ).
fof(f493,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f492]) ).
fof(f498,plain,
( ~ subclass(null_class,domain_of(null_class))
| ~ spl1_2 ),
inference(resolution,[],[f493,f245]) ).
fof(f505,plain,
( $false
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f498,f485]) ).
fof(f506,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f505]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f234]) ).
cnf(s22,plain,
~ spl1_2,
inference(sat_conversion,[],[f506]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s3,s22]) ).
fof(f511,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET205-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 01:08:39 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.96/1.99 % (2899042)Input is clausal, will run a generic CNF schedule.
% 6.96/1.99 % (2899048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2697203058:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.96/1.99 % (2899050)lrs+10_1_sil=8000:sp=occurrence:random_seed=2708896857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.96/1.99 % (2899047)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=881158899:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.96/1.99 % (2899053)dis-21_1_sil=8000:lcm=predicate:random_seed=1915086312: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)
% 6.96/1.99 % (2899051)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1790902026:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.96/1.99 % (2899049)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3398563222:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.96/1.99 % (2899052)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4113745798:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.96/1.99 % (2899050)Refutation not found, incomplete strategy
% 6.96/1.99 % (2899050)------------------------------
% 6.96/1.99 % (2899050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899050)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899050)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.99 % (2899050)Time elapsed: 0.001 s
% 6.96/1.99 % (2899050)Peak memory usage: 87 MB
% 6.96/1.99 % (2899051)Instruction limit reached!
% 6.96/1.99 % (2899051)------------------------------
% 6.96/1.99 % (2899051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899051)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899051)Termination reason: Instruction limit
% 6.96/1.99 % (2899051)Termination phase: Saturation
% 6.96/1.99 % (2899051)Time elapsed: 0.068 s
% 6.96/1.99 % (2899051)Peak memory usage: 88 MB
% 6.96/1.99 % (2899051)Instructions burned: 115 (million)
% 6.96/1.99 % (2899053)Instruction limit reached!
% 6.96/1.99 % (2899053)------------------------------
% 6.96/1.99 % (2899053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899053)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899053)Termination reason: Instruction limit
% 6.96/1.99 % (2899053)Termination phase: Saturation
% 6.96/1.99 % (2899053)Time elapsed: 0.071 s
% 6.96/1.99 % (2899053)Peak memory usage: 89 MB
% 6.96/1.99 % (2899053)Instructions burned: 118 (million)
% 6.96/1.99 % (2899052)Instruction limit reached!
% 6.96/1.99 % (2899052)------------------------------
% 6.96/1.99 % (2899052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899052)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899052)Termination reason: Instruction limit
% 6.96/1.99 % (2899052)Termination phase: Saturation
% 6.96/1.99 % (2899052)Time elapsed: 0.135 s
% 6.96/1.99 % (2899052)Peak memory usage: 90 MB
% 6.96/1.99 % (2899052)Instructions burned: 180 (million)
% 6.96/1.99 % (2899061)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=1894920645:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.96/1.99 % (2899062)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1188154718: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)
% 6.96/1.99 % (2899061)Refutation not found, incomplete strategy
% 6.96/1.99 % (2899061)------------------------------
% 6.96/1.99 % (2899061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899061)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899061)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.99 % (2899061)Time elapsed: 0.003 s
% 6.96/1.99 % (2899061)Peak memory usage: 88 MB
% 6.96/1.99 % (2899061)Instructions burned: 2 (million)
% 6.96/1.99 % (2899050)------------------------------
% 6.96/1.99 % (2899050)------------------------------
% 6.96/1.99 % (2899063)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=12249220:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.96/1.99 % (2899063)Refutation not found, incomplete strategy
% 6.96/1.99 % (2899063)------------------------------
% 6.96/1.99 % (2899063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899063)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899063)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.99 % (2899063)Time elapsed: 0.003 s
% 6.96/1.99 % (2899063)Peak memory usage: 88 MB
% 6.96/1.99 % (2899063)Instructions burned: 3 (million)
% 6.96/1.99 % (2899062)Instruction limit reached!
% 6.96/1.99 % (2899062)------------------------------
% 6.96/1.99 % (2899062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899062)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899062)Termination reason: Instruction limit
% 6.96/1.99 % (2899062)Termination phase: Saturation
% 6.96/1.99 % (2899062)Time elapsed: 0.111 s
% 6.96/1.99 % (2899062)Peak memory usage: 91 MB
% 6.96/1.99 % (2899062)Instructions burned: 189 (million)
% 6.96/1.99 % (2899066)lrs+10_64_to=lpo:sil=8000:random_seed=1126747770:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.96/1.99 % (2899061)------------------------------
% 6.96/1.99 % (2899061)------------------------------
% 6.96/1.99 % (2899068)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3073633952:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.96/1.99 % (2899066)Instruction limit reached!
% 6.96/1.99 % (2899066)------------------------------
% 6.96/1.99 % (2899066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899066)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899066)Termination reason: Instruction limit
% 6.96/1.99 % (2899066)Termination phase: Saturation
% 6.96/1.99 % (2899066)Time elapsed: 0.079 s
% 6.96/1.99 % (2899066)Peak memory usage: 89 MB
% 6.96/1.99 % (2899066)Instructions burned: 126 (million)
% 6.96/1.99 % (2899063)------------------------------
% 6.96/1.99 % (2899063)------------------------------
% 6.96/1.99 % (2899068)Instruction limit reached!
% 6.96/1.99 % (2899068)------------------------------
% 6.96/1.99 % (2899068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899068)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899068)Termination reason: Instruction limit
% 6.96/1.99 % (2899068)Termination phase: Saturation
% 6.96/1.99 % (2899068)Time elapsed: 0.122 s
% 6.96/1.99 % (2899068)Peak memory usage: 90 MB
% 6.96/1.99 % (2899068)Instructions burned: 195 (million)
% 6.96/1.99 % (2899070)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1477283647:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.96/1.99 % (2899072)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1665328049:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.96/1.99 % (2899073)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=452846558:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.96/1.99 % (2899047)First to succeed.
% 6.96/1.99 % (2899047)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2899042"
% 6.96/1.99 % (2899049)Also succeeded, but the first one will report.
% 6.96/1.99 % (2899070)Instruction limit reached!
% 6.96/1.99 % (2899070)------------------------------
% 6.96/1.99 % (2899070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.99 % (2899070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.99 % (2899070)CaDiCaL version: 2.1.3
% 6.96/1.99 % (2899070)Termination reason: Instruction limit
% 6.96/1.99 % (2899070)Termination phase: Saturation
% 6.96/1.99 % (2899070)Time elapsed: 0.104 s
% 6.96/1.99 % (2899070)Peak memory usage: 91 MB
% 8.64/2.19 % (2899070)Instructions burned: 158 (million)
% 8.64/2.19 % (2899073)Instruction limit reached!
% 8.64/2.19 % (2899073)------------------------------
% 8.64/2.19 % (2899073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.19 % (2899073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.19 % (2899073)CaDiCaL version: 2.1.3
% 8.64/2.19 % (2899073)Termination reason: Instruction limit
% 8.64/2.19 % (2899073)Termination phase: Saturation
% 8.64/2.19 % (2899073)Time elapsed: 0.066 s
% 8.64/2.19 % (2899073)Peak memory usage: 89 MB
% 8.64/2.19 % (2899073)Instructions burned: 107 (million)
% 8.64/2.19 % (2899074)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2774941064:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.64/2.19 % (2899074)Refutation not found, incomplete strategy
% 8.64/2.19 % (2899074)------------------------------
% 8.64/2.19 % (2899074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.19 % (2899074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.19 % (2899074)CaDiCaL version: 2.1.3
% 8.64/2.19 % (2899074)Termination reason: Refutation not found, incomplete strategy
% 8.64/2.19 % (2899074)Time elapsed: 0.005 s
% 8.64/2.19 % (2899074)Peak memory usage: 88 MB
% 8.64/2.19 % (2899074)Instructions burned: 8 (million)
% 8.64/2.19 % (2899048)Also succeeded, but the first one will report.
% 8.64/2.19 % (2899078)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2606693897:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 8.64/2.19 % (2899079)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3126400075:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.64/2.19 % (2899047)Refutation found. Thanks to Tanya!
% 8.64/2.19 % SZS status Unsatisfiable for theBenchmark
% 8.64/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 8.64/2.19 % (2899047)------------------------------
% 8.64/2.19 % (2899047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.19 % (2899047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.19 % (2899047)CaDiCaL version: 2.1.3
% 8.64/2.19 % (2899047)Termination reason: Refutation
% 8.64/2.19 % (2899047)Time elapsed: 0.696 s
% 8.64/2.19 % (2899047)Peak memory usage: 130 MB
% 8.64/2.19 % (2899047)Instructions burned: 1045 (million)
% 8.64/2.19 % (2899047)------------------------------
% 8.64/2.19 % (2899047)------------------------------
% 8.64/2.19 % (2899042)Success in time 1.143 s
% 8.64/2.19 % Vampire exiting
%------------------------------------------------------------------------------