%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM051-1 : 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 : n019.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 12.77s 3.02s
% Output : Refutation 12.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 19 unt; 0 def)
% Number of atoms : 83 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 23 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
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(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
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,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetrization) ).
fof(f126,axiom,
! [X0,X1] :
( ~ subclass(cross_product(X0,X0),union(identity_relation,symmetrization_of(X1)))
| connected(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connected2) ).
fof(f176,negated_conjecture,
~ connected(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_everything_connected_to_null_class_1) ).
fof(f177,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(f190,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f195,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,f177]) ).
fof(f197,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,f177]) ).
fof(f201,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(cross_product(X0,X0),complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X1),complement(domain_of(flip(cross_product(X1,universal_class))))))))))
| connected(X1,X0) ),
inference(definition_unfolding,[],[f126,f26,f190]) ).
fof(f276,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f277,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f280,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f276,f3]) ).
fof(f285,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f291,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f277,f3]) ).
fof(f296,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f297,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f285,f70]) ).
fof(f328,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f297]) ).
fof(f329,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f338,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f329,f285]) ).
fof(f348,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f296,f338]) ).
fof(f350,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f201,f338]) ).
fof(f351,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f356,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f351,f68]) ).
fof(f426,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,[],[f197,f68]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(second(regular(cross_product(X0,X1))),X3)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f195,f426]) ).
fof(f437,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f429,f68]) ).
fof(f438,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f446,plain,
! [X0] : null_class = cross_product(X0,domain_of(null_class)),
inference(resolution,[],[f438,f351]) ).
fof(f447,plain,
! [X0] : null_class = cross_product(X0,null_class),
inference(forward_demodulation,[],[f446,f356]) ).
fof(f448,plain,
! [X0] :
( ~ subclass(null_class,complement(intersection(complement(identity_relation),complement(complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class))))))))))
| connected(X0,null_class) ),
inference(superposition,[],[f246,f447]) ).
fof(f454,plain,
! [X0] : connected(X0,null_class),
inference(forward_subsumption_resolution,[],[f448,f348]) ).
fof(f455,plain,
$false,
inference(resolution,[],[f454,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM051-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n019.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 18:44:49 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 11.18/2.76 % (3336971)Input is clausal, will run a generic CNF schedule.
% 11.18/2.76 % (3336989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=670412190:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.18/2.76 % (3336990)lrs+10_1_sil=8000:sp=occurrence:random_seed=1375770319:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.18/2.76 % (3336987)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=1070650491:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.18/2.76 % (3336992)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=692187832:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.18/2.76 % (3336988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3534053887:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.18/2.76 % (3336991)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3492709919:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.18/2.76 % (3336993)dis-21_1_sil=8000:lcm=predicate:random_seed=3119577621: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)
% 11.18/2.76 % (3336990)Instruction limit reached!
% 11.18/2.76 % (3336990)------------------------------
% 11.18/2.76 % (3336990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3336990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3336990)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3336990)Termination reason: Instruction limit
% 11.18/2.76 % (3336990)Termination phase: Saturation
% 11.18/2.76 % (3336990)Time elapsed: 0.111 s
% 11.18/2.76 % (3336990)Peak memory usage: 89 MB
% 11.18/2.76 % (3336990)Instructions burned: 107 (million)
% 11.18/2.76 % (3336993)Instruction limit reached!
% 11.18/2.76 % (3336993)------------------------------
% 11.18/2.76 % (3336993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3336993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3336993)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3336993)Termination reason: Instruction limit
% 11.18/2.76 % (3336993)Termination phase: Saturation
% 11.18/2.76 % (3336993)Time elapsed: 0.108 s
% 11.18/2.76 % (3336993)Peak memory usage: 89 MB
% 11.18/2.76 % (3336993)Instructions burned: 117 (million)
% 11.18/2.76 % (3336991)Instruction limit reached!
% 11.18/2.76 % (3336991)------------------------------
% 11.18/2.76 % (3336991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3336991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3336991)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3336991)Termination reason: Instruction limit
% 11.18/2.76 % (3336991)Termination phase: Saturation
% 11.18/2.76 % (3336991)Time elapsed: 0.111 s
% 11.18/2.76 % (3336991)Peak memory usage: 89 MB
% 11.18/2.76 % (3336991)Instructions burned: 115 (million)
% 11.18/2.76 % (3336992)Instruction limit reached!
% 11.18/2.76 % (3336992)------------------------------
% 11.18/2.76 % (3336992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3336992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3336992)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3336992)Termination reason: Instruction limit
% 11.18/2.76 % (3336992)Termination phase: Saturation
% 11.18/2.76 % (3336992)Time elapsed: 0.197 s
% 11.18/2.76 % (3336992)Peak memory usage: 90 MB
% 11.18/2.76 % (3336992)Instructions burned: 180 (million)
% 11.18/2.76 % (3337001)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=3877093833:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.18/2.76 % (3337001)Refutation not found, incomplete strategy
% 11.18/2.76 % (3337001)------------------------------
% 11.18/2.76 % (3337001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337001)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337001)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.76 % (3337001)Time elapsed: 0.003 s
% 11.18/2.76 % (3337001)Peak memory usage: 88 MB
% 11.18/2.76 % (3337001)Instructions burned: 2 (million)
% 11.18/2.76 % (3337002)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1278449138: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)
% 11.18/2.76 % (3337003)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2053099887:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.18/2.76 % (3337003)Refutation not found, incomplete strategy
% 11.18/2.76 % (3337003)------------------------------
% 11.18/2.76 % (3337003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337003)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337003)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.76 % (3337003)Time elapsed: 0.006 s
% 11.18/2.76 % (3337003)Peak memory usage: 88 MB
% 11.18/2.76 % (3337003)Instructions burned: 4 (million)
% 11.18/2.76 % (3337005)lrs+10_64_to=lpo:sil=8000:random_seed=3255753849:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.18/2.76 % (3337002)Instruction limit reached!
% 11.18/2.76 % (3337002)------------------------------
% 11.18/2.76 % (3337002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337002)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337002)Termination reason: Instruction limit
% 11.18/2.76 % (3337002)Termination phase: Saturation
% 11.18/2.76 % (3337002)Time elapsed: 0.172 s
% 11.18/2.76 % (3337002)Peak memory usage: 91 MB
% 11.18/2.76 % (3337002)Instructions burned: 189 (million)
% 11.18/2.76 % (3337005)Instruction limit reached!
% 11.18/2.76 % (3337005)------------------------------
% 11.18/2.76 % (3337005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337005)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337005)Termination reason: Instruction limit
% 11.18/2.76 % (3337005)Termination phase: Saturation
% 11.18/2.76 % (3337005)Time elapsed: 0.129 s
% 11.18/2.76 % (3337005)Peak memory usage: 89 MB
% 11.18/2.76 % (3337005)Instructions burned: 126 (million)
% 11.18/2.76 % (3337001)------------------------------
% 11.18/2.76 % (3337001)------------------------------
% 11.18/2.76 % (3337011)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1852298010:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 11.18/2.76 % (3337012)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=606804171:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 11.18/2.76 % (3337003)------------------------------
% 11.18/2.76 % (3337003)------------------------------
% 11.18/2.76 % (3337013)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1239290040:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 11.18/2.76 % (3337012)Instruction limit reached!
% 11.18/2.76 % (3337012)------------------------------
% 11.18/2.76 % (3337012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337012)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337012)Termination reason: Instruction limit
% 11.18/2.76 % (3337012)Termination phase: Saturation
% 11.18/2.76 % (3337012)Time elapsed: 0.163 s
% 11.18/2.76 % (3337012)Peak memory usage: 91 MB
% 11.18/2.76 % (3337012)Instructions burned: 158 (million)
% 11.18/2.76 % (3337011)Instruction limit reached!
% 11.18/2.76 % (3337011)------------------------------
% 11.18/2.76 % (3337011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.76 % (3337011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.76 % (3337011)CaDiCaL version: 2.1.3
% 11.18/2.76 % (3337011)Termination reason: Instruction limit
% 11.18/2.76 % (3337011)Termination phase: Saturation
% 11.18/2.76 % (3337011)Time elapsed: 0.196 s
% 11.18/2.76 % (3337011)Peak memory usage: 90 MB
% 11.18/2.76 % (3337011)Instructions burned: 194 (million)
% 11.18/2.76 % (3337016)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=2462288073:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 11.18/2.76 % (3337016)Instruction limit reached!
% 11.18/2.76 % (3337016)------------------------------
% 11.18/2.76 % (3337016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.02 % (3337016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.02 % (3337016)CaDiCaL version: 2.1.3
% 12.77/3.02 % (3337016)Termination reason: Instruction limit
% 12.77/3.02 % (3337016)Termination phase: Saturation
% 12.77/3.02 % (3337016)Time elapsed: 0.071 s
% 12.77/3.02 % (3337016)Peak memory usage: 89 MB
% 12.77/3.02 % (3337016)Instructions burned: 107 (million)
% 12.77/3.02 % (3336987)First to succeed.
% 12.77/3.02 % (3336987)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3336971"
% 12.77/3.02 % (3337019)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=274464102:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 12.77/3.02 % (3337018)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1781819479:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 12.77/3.02 % (3337018)Refutation not found, incomplete strategy
% 12.77/3.02 % (3337018)------------------------------
% 12.77/3.02 % (3337018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.02 % (3337018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.02 % (3337018)CaDiCaL version: 2.1.3
% 12.77/3.02 % (3337018)Termination reason: Refutation not found, incomplete strategy
% 12.77/3.02 % (3337018)Time elapsed: 0.011 s
% 12.77/3.02 % (3337018)Peak memory usage: 88 MB
% 12.77/3.02 % (3337018)Instructions burned: 10 (million)
% 12.77/3.02 % (3336988)Also succeeded, but the first one will report.
% 12.77/3.02 % (3337021)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2824574280:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 12.77/3.02 % (3337019)Instruction limit reached!
% 12.77/3.02 % (3337019)------------------------------
% 12.77/3.02 % (3337019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.02 % (3337019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.02 % (3337019)CaDiCaL version: 2.1.3
% 12.77/3.02 % (3337019)Termination reason: Instruction limit
% 12.77/3.02 % (3337019)Termination phase: Saturation
% 12.77/3.02 % (3337019)Time elapsed: 0.257 s
% 12.77/3.02 % (3337019)Peak memory usage: 90 MB
% 12.77/3.02 % (3337019)Instructions burned: 243 (million)
% 12.77/3.02 % (3337018)------------------------------
% 12.77/3.02 % (3337018)------------------------------
% 12.77/3.02 % (3336987)Refutation found. Thanks to Tanya!
% 12.77/3.02 % SZS status Unsatisfiable for theBenchmark
% 12.77/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 12.77/3.02 % (3336987)------------------------------
% 12.77/3.02 % (3336987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.02 % (3336987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.02 % (3336987)CaDiCaL version: 2.1.3
% 12.77/3.02 % (3336987)Termination reason: Refutation
% 12.77/3.02 % (3336987)Time elapsed: 1.085 s
% 12.77/3.02 % (3336987)Peak memory usage: 130 MB
% 12.77/3.02 % (3336987)Instructions burned: 1045 (million)
% 12.77/3.02 % (3336987)------------------------------
% 12.77/3.02 % (3336987)------------------------------
% 12.77/3.02 % (3336971)Success in time 1.715 s
% 12.77/3.02 % Vampire exiting
%------------------------------------------------------------------------------