%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM078-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:11:42 PM UTC 2026
% Result : Unsatisfiable 6.68s 1.78s
% Output : Refutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 19 unt; 1 def)
% Number of atoms : 128 ( 41 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 117 ( 51 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 5 con; 0-3 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f177,negated_conjecture,
member(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_well_ordering_property7_2) ).
fof(f178,negated_conjecture,
member(u,intersection(u,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_well_ordering_property7_3) ).
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(f275,definition,
sF0 = intersection(u,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f276,plain,
intersection(u,y) = sF0,
inference(reorient_equations,[],[f275]) ).
fof(f277,plain,
member(u,sF0),
inference(definition_folding,[],[f178,f276]) ).
fof(f278,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,u) ),
inference(superposition,[],[f21,f276]) ).
fof(f279,plain,
member(u,u),
inference(resolution,[],[f278,f277]) ).
fof(f286,plain,
! [X0] :
( ~ subclass(y,X0)
| member(u,X0) ),
inference(resolution,[],[f1,f177]) ).
fof(f290,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f293,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(f300,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f302,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f310,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f302,f3]) ).
fof(f323,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f325,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f323,f70]) ).
fof(f408,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f325]) ).
fof(f409,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f410,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f409,f323]) ).
fof(f422,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f203,f410]) ).
fof(f423,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f427,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f423,f68]) ).
fof(f433,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f423,f427]) ).
fof(f434,plain,
member(u,universal_class),
inference(resolution,[],[f286,f4]) ).
fof(f458,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,[],[f300,f293]) ).
fof(f469,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,[],[f458]) ).
fof(f559,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f469,f2]) ).
fof(f571,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f572,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f571,f7]) ).
fof(f590,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f572,f323]) ).
fof(f591,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f590,f4]) ).
fof(f600,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f591]) ).
fof(f806,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f8,f68]) ).
fof(f824,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f806]) ).
fof(f836,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f824]) ).
fof(f838,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f290,f836]) ).
fof(f843,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f838]) ).
fof(f845,plain,
! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| ~ member(X1,X0)
| unordered_pair(X0,X0) = null_class ),
inference(forward_subsumption_resolution,[],[f843,f433]) ).
fof(f847,plain,
! [X0] :
( ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| ~ member(X0,universal_class) ),
inference(resolution,[],[f845,f10]) ).
fof(f861,plain,
! [X0] :
( ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class ),
inference(forward_subsumption_resolution,[],[f847,f600]) ).
fof(f866,plain,
null_class = unordered_pair(u,u),
inference(resolution,[],[f861,f279]) ).
fof(f878,plain,
( member(u,null_class)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f866]) ).
fof(f880,plain,
~ member(u,universal_class),
inference(forward_subsumption_resolution,[],[f878,f433]) ).
fof(f883,plain,
$false,
inference(forward_subsumption_resolution,[],[f880,f434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM078-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 18:49:00 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/1.78 % (2331191)Input is clausal, will run a generic CNF schedule.
% 6.68/1.78 % (2331197)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3174520272:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.68/1.78 % (2331196)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=3376549342:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.68/1.78 % (2331202)dis-21_1_sil=8000:lcm=predicate:random_seed=1648687697: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)
% 6.68/1.78 % (2331198)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=187980258:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.68/1.78 % (2331200)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2027077433:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.68/1.78 % (2331199)lrs+10_1_sil=8000:sp=occurrence:random_seed=2684111678:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.68/1.78 % (2331201)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2966352537:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.68/1.78 % (2331199)Instruction limit reached!
% 6.68/1.78 % (2331199)------------------------------
% 6.68/1.78 % (2331199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331199)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331199)Termination reason: Instruction limit
% 6.68/1.78 % (2331199)Termination phase: Saturation
% 6.68/1.78 % (2331199)Time elapsed: 0.063 s
% 6.68/1.78 % (2331199)Peak memory usage: 89 MB
% 6.68/1.78 % (2331199)Instructions burned: 109 (million)
% 6.68/1.78 % (2331202)Instruction limit reached!
% 6.68/1.78 % (2331202)------------------------------
% 6.68/1.78 % (2331202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331202)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331202)Termination reason: Instruction limit
% 6.68/1.78 % (2331202)Termination phase: Saturation
% 6.68/1.78 % (2331202)Time elapsed: 0.067 s
% 6.68/1.78 % (2331202)Peak memory usage: 89 MB
% 6.68/1.78 % (2331202)Instructions burned: 118 (million)
% 6.68/1.78 % (2331200)Instruction limit reached!
% 6.68/1.78 % (2331200)------------------------------
% 6.68/1.78 % (2331200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331200)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331200)Termination reason: Instruction limit
% 6.68/1.78 % (2331200)Termination phase: Saturation
% 6.68/1.78 % (2331200)Time elapsed: 0.068 s
% 6.68/1.78 % (2331200)Peak memory usage: 89 MB
% 6.68/1.78 % (2331200)Instructions burned: 115 (million)
% 6.68/1.78 % (2331201)Instruction limit reached!
% 6.68/1.78 % (2331201)------------------------------
% 6.68/1.78 % (2331201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331201)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331201)Termination reason: Instruction limit
% 6.68/1.78 % (2331201)Termination phase: Saturation
% 6.68/1.78 % (2331201)Time elapsed: 0.082 s
% 6.68/1.78 % (2331201)Peak memory usage: 90 MB
% 6.68/1.78 % (2331201)Instructions burned: 183 (million)
% 6.68/1.78 % (2331215)lrs+10_64_to=lpo:sil=8000:random_seed=1194498751:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.68/1.78 % (2331212)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=636515995:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.68/1.78 % (2331210)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=577676826:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.68/1.78 % (2331211)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2891147284: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)
% 6.68/1.78 % (2331210)Refutation not found, incomplete strategy
% 6.68/1.78 % (2331210)------------------------------
% 6.68/1.78 % (2331210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331212)Refutation not found, incomplete strategy
% 6.68/1.78 % (2331212)------------------------------
% 6.68/1.78 % (2331212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331212)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331210)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331212)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.78 % (2331212)Time elapsed: 0.003 s
% 6.68/1.78 % (2331210)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.78 % (2331210)Time elapsed: 0.003 s
% 6.68/1.78 % (2331210)Peak memory usage: 88 MB
% 6.68/1.78 % (2331212)Peak memory usage: 88 MB
% 6.68/1.78 % (2331212)Instructions burned: 4 (million)
% 6.68/1.78 % (2331210)Instructions burned: 4 (million)
% 6.68/1.78 % (2331215)Instruction limit reached!
% 6.68/1.78 % (2331215)------------------------------
% 6.68/1.78 % (2331215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331215)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331215)Termination reason: Instruction limit
% 6.68/1.78 % (2331215)Termination phase: Saturation
% 6.68/1.78 % (2331215)Time elapsed: 0.043 s
% 6.68/1.78 % (2331215)Peak memory usage: 89 MB
% 6.68/1.78 % (2331215)Instructions burned: 128 (million)
% 6.68/1.78 % (2331211)Instruction limit reached!
% 6.68/1.78 % (2331211)------------------------------
% 6.68/1.78 % (2331211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331211)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331211)Termination reason: Instruction limit
% 6.68/1.78 % (2331211)Termination phase: Saturation
% 6.68/1.78 % (2331211)Time elapsed: 0.096 s
% 6.68/1.78 % (2331211)Peak memory usage: 91 MB
% 6.68/1.78 % (2331211)Instructions burned: 189 (million)
% 6.68/1.78 % (2331220)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3135211862:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.68/1.78 % (2331220)Instruction limit reached!
% 6.68/1.78 % (2331220)------------------------------
% 6.68/1.78 % (2331220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331220)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331220)Termination reason: Instruction limit
% 6.68/1.78 % (2331220)Termination phase: Saturation
% 6.68/1.78 % (2331220)Time elapsed: 0.065 s
% 6.68/1.78 % (2331220)Peak memory usage: 90 MB
% 6.68/1.78 % (2331220)Instructions burned: 195 (million)
% 6.68/1.78 % (2331221)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=293733167:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.68/1.78 % (2331212)------------------------------
% 6.68/1.78 % (2331212)------------------------------
% 6.68/1.78 % (2331210)------------------------------
% 6.68/1.78 % (2331210)------------------------------
% 6.68/1.78 % (2331223)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1145436497:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.68/1.78 % (2331226)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=918143272:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.68/1.78 % (2331221)Instruction limit reached!
% 6.68/1.78 % (2331221)------------------------------
% 6.68/1.78 % (2331221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331221)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331221)Termination reason: Instruction limit
% 6.68/1.78 % (2331221)Termination phase: Saturation
% 6.68/1.78 % (2331221)Time elapsed: 0.115 s
% 6.68/1.78 % (2331221)Peak memory usage: 91 MB
% 6.68/1.78 % (2331221)Instructions burned: 158 (million)
% 6.68/1.78 % (2331226)Instruction limit reached!
% 6.68/1.78 % (2331226)------------------------------
% 6.68/1.78 % (2331226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331226)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331226)Termination reason: Instruction limit
% 6.68/1.78 % (2331226)Termination phase: Saturation
% 6.68/1.78 % (2331226)Time elapsed: 0.040 s
% 6.68/1.78 % (2331226)Peak memory usage: 90 MB
% 6.68/1.78 % (2331226)Instructions burned: 109 (million)
% 6.68/1.78 % (2331225)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=532110036:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.68/1.78 % (2331225)Instruction limit reached!
% 6.68/1.78 % (2331225)------------------------------
% 6.68/1.78 % (2331225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331225)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331225)Termination reason: Instruction limit
% 6.68/1.78 % (2331225)Termination phase: Saturation
% 6.68/1.78 % (2331225)Time elapsed: 0.060 s
% 6.68/1.78 % (2331225)Peak memory usage: 89 MB
% 6.68/1.78 % (2331225)Instructions burned: 107 (million)
% 6.68/1.78 % (2331230)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3228237936:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.68/1.78 % (2331229)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1543987653:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.68/1.78 % (2331196)First to succeed.
% 6.68/1.78 % (2331196)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2331191"
% 6.68/1.78 % (2331232)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1180069283:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.68/1.78 % (2331229)Instruction limit reached!
% 6.68/1.78 % (2331229)------------------------------
% 6.68/1.78 % (2331229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331229)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331229)Termination reason: Instruction limit
% 6.68/1.78 % (2331229)Termination phase: Saturation
% 6.68/1.78 % (2331229)Time elapsed: 0.160 s
% 6.68/1.78 % (2331229)Peak memory usage: 90 MB
% 6.68/1.78 % (2331229)Instructions burned: 242 (million)
% 6.68/1.78 % (2331232)Instruction limit reached!
% 6.68/1.78 % (2331232)------------------------------
% 6.68/1.78 % (2331232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.78 % (2331232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.78 % (2331232)CaDiCaL version: 2.1.3
% 6.68/1.78 % (2331232)Termination reason: Instruction limit
% 6.68/1.78 % (2331232)Termination phase: Saturation
% 6.68/1.78 % (2331232)Time elapsed: 0.099 s
% 6.68/1.78 % (2331232)Peak memory usage: 89 MB
% 6.68/1.78 % (2331232)Instructions burned: 135 (million)
% 6.68/1.78 % (2331236)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1236811649:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.68/1.78 % (2331237)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=670964843:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.68/1.78 % (2331196)Refutation found. Thanks to Tanya!
% 6.68/1.78 % SZS status Unsatisfiable for theBenchmark
% 6.68/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.37/1.87 % (2331196)------------------------------
% 8.37/1.87 % (2331196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/1.87 % (2331196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.87 % (2331196)CaDiCaL version: 2.1.3
% 8.37/1.87 % (2331196)Termination reason: Refutation
% 8.37/1.87 % (2331196)Time elapsed: 0.749 s
% 8.37/1.87 % (2331196)Peak memory usage: 131 MB
% 8.37/1.87 % (2331196)Instructions burned: 1129 (million)
% 8.37/1.87 % (2331196)------------------------------
% 8.37/1.87 % (2331196)------------------------------
% 8.37/1.87 % (2331191)Success in time 1.148 s
% 8.37/1.87 % Vampire exiting
%------------------------------------------------------------------------------