%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET213-6 : 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 : 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 12:40:32 PM UTC 2026
% Result : Unsatisfiable 6.92s 2.03s
% Output : Refutation 8.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 61 ( 22 unt; 6 def)
% Number of atoms : 126 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 66 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(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(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
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(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
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(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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(f122,negated_conjecture,
~ subclass(cross_product(x,z),cross_product(x,union(y,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_4_to_X_product_monotonicity_1) ).
fof(f127,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(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,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,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f185,plain,
~ subclass(cross_product(x,z),cross_product(x,complement(intersection(complement(y),complement(z))))),
inference(definition_unfolding,[],[f122,f26]) ).
fof(f190,definition,
sF0 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x,z) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = complement(y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
complement(y) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = complement(z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
complement(z) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = intersection(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
intersection(sF1,sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = cross_product(x,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
cross_product(x,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
~ subclass(sF0,sF5),
inference(definition_folding,[],[f185,f201,f199,f197,f195,f193,f191]) ).
fof(f208,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF3) ),
inference(superposition,[],[f22,f197]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,z) ),
inference(superposition,[],[f24,f195]) ).
fof(f221,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,universal_class)
| member(X0,sF3) ),
inference(superposition,[],[f25,f199]) ).
fof(f226,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,z) ),
inference(resolution,[],[f217,f208]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f229,f191]) ).
fof(f234,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),x)
| ~ member(X0,sF0) ),
inference(superposition,[],[f231,f191]) ).
fof(f236,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f228,f191]) ).
fof(f245,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),z)
| ~ member(X0,sF0) ),
inference(superposition,[],[f238,f191]) ).
fof(f247,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f269,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,sF4)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f201]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF4)
| ~ member(first(X0),x)
| member(X0,sF5) ),
inference(superposition,[],[f269,f139]) ).
fof(f287,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(second(X0),sF4)
| ~ member(first(X0),x)
| member(X0,sF5) ),
inference(superposition,[],[f280,f191]) ).
fof(f289,plain,
! [X0] :
( ~ member(second(X0),sF4)
| ~ member(X0,sF0)
| member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f287,f236]) ).
fof(f292,plain,
! [X0] :
( member(second(X0),sF3)
| member(X0,sF5)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(resolution,[],[f289,f221]) ).
fof(f297,plain,
! [X0] :
( member(X0,sF5)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0)
| ~ member(second(X0),z) ),
inference(resolution,[],[f292,f226]) ).
fof(f299,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| member(X0,sF5)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f297,f247]) ).
fof(f341,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| ~ subclass(X1,universal_class)
| member(X0,sF5)
| ~ member(X0,sF0) ),
inference(resolution,[],[f1,f299]) ).
fof(f347,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| member(X0,sF5)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f341,f4]) ).
fof(f350,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF0) ),
inference(resolution,[],[f347,f247]) ).
fof(f362,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f350]) ).
fof(f366,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF0)
| subclass(X0,sF5) ),
inference(resolution,[],[f362,f3]) ).
fof(f368,plain,
( subclass(sF0,sF5)
| subclass(sF0,sF5) ),
inference(resolution,[],[f366,f2]) ).
fof(f370,plain,
subclass(sF0,sF5),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f371,plain,
$false,
inference(forward_subsumption_resolution,[],[f370,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET213-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n007.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 01:05:40 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 6.92/2.03 % (1935111)Input is clausal, will run a generic CNF schedule.
% 6.92/2.03 % (1935122)dis-21_1_sil=8000:lcm=predicate:random_seed=399293636: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)
% 6.92/2.03 % (1935122)Instruction limit reached!
% 6.92/2.03 % (1935122)------------------------------
% 6.92/2.03 % (1935122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935122)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935122)Termination reason: Instruction limit
% 6.92/2.03 % (1935122)Termination phase: Saturation
% 6.92/2.03 % (1935122)Time elapsed: 0.036 s
% 6.92/2.03 % (1935122)Peak memory usage: 89 MB
% 6.92/2.03 % (1935122)Instructions burned: 118 (million)
% 6.92/2.03 % (1935117)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3573376450:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.92/2.03 % (1935116)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=153495013:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.92/2.03 % (1935119)lrs+10_1_sil=8000:sp=occurrence:random_seed=1931634537:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.92/2.03 % (1935121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1270966258:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.92/2.03 % (1935120)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2574684894:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.92/2.03 % (1935118)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1745215334:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.92/2.03 % (1935119)Refutation not found, incomplete strategy
% 6.92/2.03 % (1935119)------------------------------
% 6.92/2.03 % (1935119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935119)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935119)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.03 % (1935119)Time elapsed: 0.027 s
% 6.92/2.03 % (1935119)Peak memory usage: 89 MB
% 6.92/2.03 % (1935119)Instructions burned: 40 (million)
% 6.92/2.03 % (1935120)Instruction limit reached!
% 6.92/2.03 % (1935120)------------------------------
% 6.92/2.03 % (1935120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935120)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935120)Termination reason: Instruction limit
% 6.92/2.03 % (1935120)Termination phase: Saturation
% 6.92/2.03 % (1935120)Time elapsed: 0.069 s
% 6.92/2.03 % (1935120)Peak memory usage: 89 MB
% 6.92/2.03 % (1935120)Instructions burned: 115 (million)
% 6.92/2.03 % (1935130)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=942600469:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.92/2.03 % (1935130)Refutation not found, incomplete strategy
% 6.92/2.03 % (1935130)------------------------------
% 6.92/2.03 % (1935130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935130)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935130)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.03 % (1935130)Time elapsed: 0.001 s
% 6.92/2.03 % (1935130)Peak memory usage: 88 MB
% 6.92/2.03 % (1935130)Instructions burned: 2 (million)
% 6.92/2.03 % (1935121)Instruction limit reached!
% 6.92/2.03 % (1935121)------------------------------
% 6.92/2.03 % (1935121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935121)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935121)Termination reason: Instruction limit
% 6.92/2.03 % (1935121)Termination phase: Saturation
% 6.92/2.03 % (1935121)Time elapsed: 0.134 s
% 6.92/2.03 % (1935121)Peak memory usage: 90 MB
% 6.92/2.03 % (1935121)Instructions burned: 181 (million)
% 6.92/2.03 % (1935131)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=757109484: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)
% 6.92/2.03 % (1935131)Refutation not found, incomplete strategy
% 6.92/2.03 % (1935131)------------------------------
% 6.92/2.03 % (1935131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935131)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935131)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.03 % (1935131)Time elapsed: 0.011 s
% 6.92/2.03 % (1935131)Peak memory usage: 88 MB
% 6.92/2.03 % (1935131)Instructions burned: 20 (million)
% 6.92/2.03 % (1935119)------------------------------
% 6.92/2.03 % (1935119)------------------------------
% 6.92/2.03 % (1935130)------------------------------
% 6.92/2.03 % (1935130)------------------------------
% 6.92/2.03 % (1935133)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=515863582:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.92/2.03 % (1935133)Refutation not found, incomplete strategy
% 6.92/2.03 % (1935133)------------------------------
% 6.92/2.03 % (1935133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935133)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935133)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.03 % (1935133)Time elapsed: 0.003 s
% 6.92/2.03 % (1935133)Peak memory usage: 88 MB
% 6.92/2.03 % (1935133)Instructions burned: 4 (million)
% 6.92/2.03 % (1935135)lrs+10_64_to=lpo:sil=8000:random_seed=65555021:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.92/2.03 % (1935135)Instruction limit reached!
% 6.92/2.03 % (1935135)------------------------------
% 6.92/2.03 % (1935135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935135)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935135)Termination reason: Instruction limit
% 6.92/2.03 % (1935135)Termination phase: Saturation
% 6.92/2.03 % (1935135)Time elapsed: 0.045 s
% 6.92/2.03 % (1935135)Peak memory usage: 89 MB
% 6.92/2.03 % (1935135)Instructions burned: 128 (million)
% 6.92/2.03 % (1935136)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2253333981:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.92/2.03 % (1935131)------------------------------
% 6.92/2.03 % (1935131)------------------------------
% 6.92/2.03 % (1935133)------------------------------
% 6.92/2.03 % (1935133)------------------------------
% 6.92/2.03 % (1935139)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=43788385:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.92/2.03 % (1935136)Instruction limit reached!
% 6.92/2.03 % (1935136)------------------------------
% 6.92/2.03 % (1935136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935136)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935136)Termination reason: Instruction limit
% 6.92/2.03 % (1935136)Termination phase: Saturation
% 6.92/2.03 % (1935136)Time elapsed: 0.128 s
% 6.92/2.03 % (1935136)Peak memory usage: 90 MB
% 6.92/2.03 % (1935136)Instructions burned: 195 (million)
% 6.92/2.03 % (1935139)Instruction limit reached!
% 6.92/2.03 % (1935139)------------------------------
% 6.92/2.03 % (1935139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935139)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935139)Termination reason: Instruction limit
% 6.92/2.03 % (1935139)Termination phase: Saturation
% 6.92/2.03 % (1935139)Time elapsed: 0.058 s
% 6.92/2.03 % (1935139)Peak memory usage: 91 MB
% 6.92/2.03 % (1935139)Instructions burned: 160 (million)
% 6.92/2.03 % (1935141)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4150704712:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.92/2.03 % (1935118)First to succeed.
% 6.92/2.03 % (1935118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1935111"
% 6.92/2.03 % (1935117)Also succeeded, but the first one will report.
% 6.92/2.03 % (1935143)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=1297641548:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.92/2.03 % (1935116)Also succeeded, but the first one will report.
% 6.92/2.03 % (1935144)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2176544338:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.92/2.03 % (1935145)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1080177581:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 6.92/2.03 % (1935143)Instruction limit reached!
% 6.92/2.03 % (1935143)------------------------------
% 6.92/2.03 % (1935143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935143)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935143)Termination reason: Instruction limit
% 6.92/2.03 % (1935143)Termination phase: Saturation
% 6.92/2.03 % (1935143)Time elapsed: 0.068 s
% 6.92/2.03 % (1935143)Peak memory usage: 90 MB
% 6.92/2.03 % (1935143)Instructions burned: 106 (million)
% 6.92/2.03 % (1935144)Instruction limit reached!
% 6.92/2.03 % (1935144)------------------------------
% 6.92/2.03 % (1935144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935144)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935144)Termination reason: Instruction limit
% 6.92/2.03 % (1935144)Termination phase: Saturation
% 6.92/2.03 % (1935144)Time elapsed: 0.073 s
% 6.92/2.03 % (1935144)Peak memory usage: 89 MB
% 6.92/2.03 % (1935144)Instructions burned: 108 (million)
% 6.92/2.03 % (1935145)Instruction limit reached!
% 6.92/2.03 % (1935145)------------------------------
% 6.92/2.03 % (1935145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.03 % (1935145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.03 % (1935145)CaDiCaL version: 2.1.3
% 6.92/2.03 % (1935145)Termination reason: Instruction limit
% 6.92/2.03 % (1935145)Termination phase: Saturation
% 6.92/2.03 % (1935145)Time elapsed: 0.090 s
% 6.92/2.03 % (1935145)Peak memory usage: 90 MB
% 6.92/2.03 % (1935145)Instructions burned: 243 (million)
% 6.92/2.03 % (1935150)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3184972058:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 6.92/2.03 % (1935118)Refutation found. Thanks to Tanya!
% 6.92/2.03 % SZS status Unsatisfiable for theBenchmark
% 6.92/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.59/2.23 % (1935118)------------------------------
% 8.59/2.23 % (1935118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.23 % (1935118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.23 % (1935118)CaDiCaL version: 2.1.3
% 8.59/2.23 % (1935118)Termination reason: Refutation
% 8.59/2.23 % (1935118)Time elapsed: 0.689 s
% 8.59/2.23 % (1935118)Peak memory usage: 128 MB
% 8.59/2.23 % (1935118)Instructions burned: 1027 (million)
% 8.59/2.23 % (1935118)------------------------------
% 8.59/2.23 % (1935118)------------------------------
% 8.59/2.23 % (1935111)Success in time 1.132 s
% 8.59/2.23 % Vampire exiting
%------------------------------------------------------------------------------