%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM031-1 : 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 : n007.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 12:11:37 PM UTC 2026
% Result : Unsatisfiable 8.61s 2.10s
% Output : Refutation 9.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 69 ( 30 unt; 7 def)
% Number of atoms : 138 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 109 ( 40 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 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(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetrization) ).
fof(f176,negated_conjecture,
subclass(inverse(x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property4_1) ).
fof(f177,negated_conjecture,
symmetrization_of(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property4_2) ).
fof(f178,plain,
x != symmetrization_of(x),
inference(reorient_equations,[],[f177]) ).
fof(f192,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(f269,plain,
subclass(domain_of(flip(cross_product(x,universal_class))),x),
inference(definition_unfolding,[],[f176,f39]) ).
fof(f270,plain,
x != complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f178,f192]) ).
fof(f277,definition,
sF0 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f278,plain,
cross_product(x,universal_class) = sF0,
inference(reorient_equations,[],[f277]) ).
fof(f279,definition,
sF1 = flip(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f280,plain,
flip(sF0) = sF1,
inference(reorient_equations,[],[f279]) ).
fof(f281,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f282,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f281]) ).
fof(f283,plain,
subclass(sF2,x),
inference(definition_folding,[],[f269,f282,f280,f278]) ).
fof(f284,definition,
sF3 = complement(x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f285,plain,
complement(x) = sF3,
inference(reorient_equations,[],[f284]) ).
fof(f286,definition,
sF4 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f287,plain,
complement(sF2) = sF4,
inference(reorient_equations,[],[f286]) ).
fof(f288,definition,
sF5 = intersection(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f289,plain,
intersection(sF3,sF4) = sF5,
inference(reorient_equations,[],[f288]) ).
fof(f290,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f291,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f290]) ).
fof(f292,plain,
x != sF6,
inference(definition_folding,[],[f270,f291,f289,f287,f282,f280,f278,f285]) ).
fof(f303,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,x) ),
inference(superposition,[],[f24,f285]) ).
fof(f305,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f24,f291]) ).
fof(f307,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF3)
| member(X0,x) ),
inference(superposition,[],[f25,f285]) ).
fof(f308,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF4)
| member(X0,sF2) ),
inference(superposition,[],[f25,f287]) ).
fof(f309,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f25,f291]) ).
fof(f310,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF3) ),
inference(superposition,[],[f21,f289]) ).
fof(f313,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f324,plain,
! [X0] :
( ~ member(not_subclass_element(sF6,X0),sF5)
| subclass(sF6,X0) ),
inference(resolution,[],[f2,f305]) ).
fof(f327,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF4)
| member(not_subclass_element(X0,X1),sF2) ),
inference(resolution,[],[f313,f308]) ).
fof(f328,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF3)
| member(not_subclass_element(X0,X1),x) ),
inference(resolution,[],[f313,f307]) ).
fof(f329,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF6)
| member(not_subclass_element(X0,X1),sF5) ),
inference(resolution,[],[f313,f309]) ).
fof(f339,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF6)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF5) ),
inference(forward_subsumption_resolution,[],[f329,f4]) ).
fof(f340,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),x)
| member(not_subclass_element(X0,X1),sF3)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f328,f4]) ).
fof(f341,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF4)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f327,f4]) ).
fof(f357,plain,
! [X0] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),sF3)
| subclass(X0,x) ),
inference(resolution,[],[f3,f340]) ).
fof(f358,plain,
! [X0] :
( subclass(X0,sF6)
| subclass(X0,sF6)
| member(not_subclass_element(X0,sF6),sF5) ),
inference(resolution,[],[f3,f339]) ).
fof(f360,plain,
! [X0] :
( member(not_subclass_element(X0,sF6),sF5)
| subclass(X0,sF6) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f361,plain,
! [X0] :
( member(not_subclass_element(X0,x),sF3)
| subclass(X0,x) ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f366,plain,
! [X0] :
( member(not_subclass_element(X0,sF6),sF3)
| subclass(X0,sF6) ),
inference(resolution,[],[f360,f310]) ).
fof(f369,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF6),x)
| subclass(X0,sF6) ),
inference(resolution,[],[f366,f303]) ).
fof(f374,plain,
( subclass(x,sF6)
| subclass(x,sF6) ),
inference(resolution,[],[f369,f2]) ).
fof(f377,plain,
subclass(x,sF6),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f383,plain,
( ~ subclass(sF6,x)
| x = sF6 ),
inference(resolution,[],[f377,f7]) ).
fof(f384,plain,
~ subclass(sF6,x),
inference(forward_subsumption_resolution,[],[f383,f292]) ).
fof(f389,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),sF4)
| member(not_subclass_element(X0,X1),X2)
| ~ subclass(sF2,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f341,f1]) ).
fof(f400,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF5)
| ~ member(X0,sF3) ),
inference(superposition,[],[f23,f289]) ).
fof(f550,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF4)
| ~ subclass(sF2,X1)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f389,f3]) ).
fof(f569,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF4)
| ~ subclass(sF2,X1)
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f605,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X1,X0),sF3)
| subclass(X1,X0)
| member(not_subclass_element(X1,X0),sF5)
| ~ subclass(sF2,X0) ),
inference(resolution,[],[f569,f400]) ).
fof(f1172,plain,
! [X0] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),sF5)
| ~ subclass(sF2,x)
| subclass(X0,x) ),
inference(resolution,[],[f605,f361]) ).
fof(f1181,plain,
! [X0] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),sF5)
| ~ subclass(sF2,x) ),
inference(duplicate_literal_removal,[],[f1172]) ).
fof(f1189,plain,
! [X0] :
( member(not_subclass_element(X0,x),sF5)
| subclass(X0,x) ),
inference(forward_subsumption_resolution,[],[f1181,f283]) ).
fof(f1369,plain,
( subclass(sF6,x)
| subclass(sF6,x) ),
inference(resolution,[],[f1189,f324]) ).
fof(f1376,plain,
subclass(sF6,x),
inference(duplicate_literal_removal,[],[f1369]) ).
fof(f1377,plain,
$false,
inference(forward_subsumption_resolution,[],[f1376,f384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM031-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % 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 18:39:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 8.61/2.10 % (1707687)Input is clausal, will run a generic CNF schedule.
% 8.61/2.10 % (1707695)lrs+10_1_sil=8000:sp=occurrence:random_seed=745034750:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.61/2.10 % (1707695)Instruction limit reached!
% 8.61/2.10 % (1707695)------------------------------
% 8.61/2.10 % (1707695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707695)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707695)Termination reason: Instruction limit
% 8.61/2.10 % (1707695)Termination phase: Saturation
% 8.61/2.10 % (1707695)Time elapsed: 0.039 s
% 8.61/2.10 % (1707695)Peak memory usage: 89 MB
% 8.61/2.10 % (1707695)Instructions burned: 109 (million)
% 8.61/2.10 % (1707692)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=325705557:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.61/2.10 % (1707698)dis-21_1_sil=8000:lcm=predicate:random_seed=3381553040: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)
% 8.61/2.10 % (1707696)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1937075072:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.61/2.10 % (1707694)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=459118240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.61/2.10 % (1707693)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3130140277:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.61/2.10 % (1707697)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=896481139:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.61/2.10 % (1707696)Instruction limit reached!
% 8.61/2.10 % (1707696)------------------------------
% 8.61/2.10 % (1707696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707696)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707696)Termination reason: Instruction limit
% 8.61/2.10 % (1707696)Termination phase: Saturation
% 8.61/2.10 % (1707696)Time elapsed: 0.068 s
% 8.61/2.10 % (1707696)Peak memory usage: 88 MB
% 8.61/2.10 % (1707696)Instructions burned: 114 (million)
% 8.61/2.10 % (1707698)Instruction limit reached!
% 8.61/2.10 % (1707698)------------------------------
% 8.61/2.10 % (1707698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707698)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707698)Termination reason: Instruction limit
% 8.61/2.10 % (1707698)Termination phase: Saturation
% 8.61/2.10 % (1707698)Time elapsed: 0.068 s
% 8.61/2.10 % (1707698)Peak memory usage: 89 MB
% 8.61/2.10 % (1707698)Instructions burned: 117 (million)
% 8.61/2.10 % (1707706)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=2330119562:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.61/2.10 % (1707706)Refutation not found, incomplete strategy
% 8.61/2.10 % (1707706)------------------------------
% 8.61/2.10 % (1707706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707706)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707706)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.10 % (1707706)Time elapsed: 0.001 s
% 8.61/2.10 % (1707706)Peak memory usage: 88 MB
% 8.61/2.10 % (1707706)Instructions burned: 2 (million)
% 8.61/2.10 % (1707697)Instruction limit reached!
% 8.61/2.10 % (1707697)------------------------------
% 8.61/2.10 % (1707697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707697)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707697)Termination reason: Instruction limit
% 8.61/2.10 % (1707697)Termination phase: Saturation
% 8.61/2.10 % (1707697)Time elapsed: 0.136 s
% 8.61/2.10 % (1707697)Peak memory usage: 91 MB
% 8.61/2.10 % (1707697)Instructions burned: 180 (million)
% 8.61/2.10 % (1707708)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=892983766:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.61/2.10 % (1707707)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=39741521: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)
% 8.61/2.10 % (1707708)Refutation not found, incomplete strategy
% 8.61/2.10 % (1707708)------------------------------
% 8.61/2.10 % (1707708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707708)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707708)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.10 % (1707708)Time elapsed: 0.004 s
% 8.61/2.10 % (1707708)Peak memory usage: 88 MB
% 8.61/2.10 % (1707708)Instructions burned: 4 (million)
% 8.61/2.10 % (1707707)Refutation not found, incomplete strategy
% 8.61/2.10 % (1707707)------------------------------
% 8.61/2.10 % (1707707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707707)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707707)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.10 % (1707707)Time elapsed: 0.010 s
% 8.61/2.10 % (1707707)Peak memory usage: 88 MB
% 8.61/2.10 % (1707707)Instructions burned: 17 (million)
% 8.61/2.10 % (1707706)------------------------------
% 8.61/2.10 % (1707706)------------------------------
% 8.61/2.10 % (1707710)lrs+10_64_to=lpo:sil=8000:random_seed=1499471887:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.61/2.10 % (1707710)Instruction limit reached!
% 8.61/2.10 % (1707710)------------------------------
% 8.61/2.10 % (1707710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707710)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707710)Termination reason: Instruction limit
% 8.61/2.10 % (1707710)Termination phase: Saturation
% 8.61/2.10 % (1707710)Time elapsed: 0.083 s
% 8.61/2.10 % (1707710)Peak memory usage: 89 MB
% 8.61/2.10 % (1707710)Instructions burned: 127 (million)
% 8.61/2.10 % (1707713)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2046739279:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.61/2.10 % (1707713)Instruction limit reached!
% 8.61/2.10 % (1707713)------------------------------
% 8.61/2.10 % (1707713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707713)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707713)Termination reason: Instruction limit
% 8.61/2.10 % (1707713)Termination phase: Saturation
% 8.61/2.10 % (1707713)Time elapsed: 0.065 s
% 8.61/2.10 % (1707713)Peak memory usage: 90 MB
% 8.61/2.10 % (1707713)Instructions burned: 197 (million)
% 8.61/2.10 % (1707708)------------------------------
% 8.61/2.10 % (1707708)------------------------------
% 8.61/2.10 % (1707707)------------------------------
% 8.61/2.10 % (1707707)------------------------------
% 8.61/2.10 % (1707715)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1294172436:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.61/2.10 % (1707717)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1931460814:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.61/2.10 % (1707718)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=2717129429:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.61/2.10 % (1707719)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1253791290:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.61/2.10 % (1707715)Instruction limit reached!
% 8.61/2.10 % (1707715)------------------------------
% 8.61/2.10 % (1707715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707715)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707715)Termination reason: Instruction limit
% 8.61/2.10 % (1707715)Termination phase: Saturation
% 8.61/2.10 % (1707715)Time elapsed: 0.110 s
% 8.61/2.10 % (1707715)Peak memory usage: 91 MB
% 8.61/2.10 % (1707715)Instructions burned: 157 (million)
% 8.61/2.10 % (1707718)Instruction limit reached!
% 8.61/2.10 % (1707718)------------------------------
% 8.61/2.10 % (1707718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707718)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707718)Termination reason: Instruction limit
% 8.61/2.10 % (1707718)Termination phase: Saturation
% 8.61/2.10 % (1707718)Time elapsed: 0.065 s
% 8.61/2.10 % (1707718)Peak memory usage: 89 MB
% 8.61/2.10 % (1707718)Instructions burned: 108 (million)
% 8.61/2.10 % (1707719)Instruction limit reached!
% 8.61/2.10 % (1707719)------------------------------
% 8.61/2.10 % (1707719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707719)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707719)Termination reason: Instruction limit
% 8.61/2.10 % (1707719)Termination phase: Saturation
% 8.61/2.10 % (1707719)Time elapsed: 0.076 s
% 8.61/2.10 % (1707719)Peak memory usage: 89 MB
% 8.61/2.10 % (1707719)Instructions burned: 108 (million)
% 8.61/2.10 % (1707724)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2003162039:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.61/2.10 % (1707692)First to succeed.
% 8.61/2.10 % (1707692)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1707687"
% 8.61/2.10 % (1707726)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=286946460:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.61/2.10 % (1707727)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1007082103:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.61/2.10 % (1707727)Refutation not found, incomplete strategy
% 8.61/2.10 % (1707727)------------------------------
% 8.61/2.10 % (1707727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707727)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707727)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.10 % (1707727)Time elapsed: 0.003 s
% 8.61/2.10 % (1707727)Peak memory usage: 88 MB
% 8.61/2.10 % (1707727)Instructions burned: 2 (million)
% 8.61/2.10 % (1707724)Instruction limit reached!
% 8.61/2.10 % (1707724)------------------------------
% 8.61/2.10 % (1707724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.10 % (1707724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.10 % (1707724)CaDiCaL version: 2.1.3
% 8.61/2.10 % (1707724)Termination reason: Instruction limit
% 8.61/2.10 % (1707724)Termination phase: Saturation
% 8.61/2.10 % (1707724)Time elapsed: 0.165 s
% 8.61/2.10 % (1707724)Peak memory usage: 90 MB
% 8.61/2.10 % (1707724)Instructions burned: 243 (million)
% 8.61/2.10 % (1707692)Refutation found. Thanks to Tanya!
% 8.61/2.10 % SZS status Unsatisfiable for theBenchmark
% 8.61/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.37/2.30 % (1707692)------------------------------
% 9.37/2.30 % (1707692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.30 % (1707692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.30 % (1707692)CaDiCaL version: 2.1.3
% 9.37/2.30 % (1707692)Termination reason: Refutation
% 9.37/2.30 % (1707692)Time elapsed: 0.802 s
% 9.37/2.30 % (1707692)Peak memory usage: 130 MB
% 9.37/2.30 % (1707692)Instructions burned: 1206 (million)
% 9.37/2.30 % (1707692)------------------------------
% 9.37/2.30 % (1707692)------------------------------
% 9.37/2.30 % (1707687)Success in time 1.235 s
% 9.37/2.30 % Vampire exiting
%------------------------------------------------------------------------------