%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET559-6 : 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 : n008.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 12:41:09 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.77s
% Output : Refutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 41 ( 21 unt; 0 def)
% Number of atoms : 66 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 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(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(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f84,axiom,
! [X0] :
( ~ operation(X0)
| cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation2) ).
fof(f85,plain,
! [X0] :
( ~ operation(X0)
| domain_of(X0) = cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) ),
inference(reorient_equations,[],[f84]) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(range_of(X0),domain_of(domain_of(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible3) ).
fof(f122,negated_conjecture,
operation(xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_1) ).
fof(f123,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_2) ).
fof(f124,negated_conjecture,
~ subclass(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_3) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f129]) ).
fof(f139,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,f129]) ).
fof(f140,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,f129]) ).
fof(f141,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,f129]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(domain_of(domain_of(flip(cross_product(X0,universal_class)))),domain_of(domain_of(X2))) ),
inference(definition_unfolding,[],[f92,f126]) ).
fof(f187,plain,
~ subclass(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),
inference(definition_unfolding,[],[f124,f126,f126]) ).
fof(f192,plain,
~ member(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),domain_of(xf2)),
inference(unit_resulting_resolution,[],[f3,f187]) ).
fof(f193,plain,
member(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class)))))),
inference(unit_resulting_resolution,[],[f2,f187]) ).
fof(f194,plain,
domain_of(xf2) = cross_product(domain_of(domain_of(xf2)),domain_of(domain_of(xf2))),
inference(unit_resulting_resolution,[],[f85,f122]) ).
fof(f195,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(xf2))
| ~ member(X1,domain_of(domain_of(xf2)))
| ~ member(X0,domain_of(domain_of(xf2))) ),
inference(superposition,[],[f140,f194]) ).
fof(f199,plain,
not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)))),unordered_pair(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),unordered_pair(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)))))),
inference(unit_resulting_resolution,[],[f141,f193]) ).
fof(f203,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),X1) ),
inference(superposition,[],[f139,f199]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),X0) ),
inference(superposition,[],[f138,f199]) ).
fof(f205,plain,
subclass(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(xf2))),
inference(unit_resulting_resolution,[],[f171,f123]) ).
fof(f219,plain,
( member(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2)),domain_of(xf2))
| ~ member(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2)))
| ~ member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2))) ),
inference(superposition,[],[f195,f199]) ).
fof(f220,plain,
( ~ member(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2)))
| ~ member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2))) ),
inference(forward_subsumption_resolution,[],[f219,f192]) ).
fof(f221,plain,
member(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),
inference(unit_resulting_resolution,[],[f203,f193]) ).
fof(f224,plain,
member(second(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2))),
inference(unit_resulting_resolution,[],[f1,f205,f221]) ).
fof(f241,plain,
member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),
inference(unit_resulting_resolution,[],[f204,f193]) ).
fof(f244,plain,
member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2))),
inference(unit_resulting_resolution,[],[f1,f205,f241]) ).
fof(f276,plain,
~ member(first(not_subclass_element(cross_product(domain_of(domain_of(flip(cross_product(xh,universal_class)))),domain_of(domain_of(flip(cross_product(xh,universal_class))))),domain_of(xf2))),domain_of(domain_of(xf2))),
inference(unit_resulting_resolution,[],[f220,f224]) ).
fof(f295,plain,
$false,
inference(forward_subsumption_resolution,[],[f276,f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET559-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 02:11:10 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 5.52/1.77 % (1803939)Input is clausal, will run a generic CNF schedule.
% 5.52/1.77 % (1803947)lrs+10_1_sil=8000:sp=occurrence:random_seed=2182101436:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.52/1.77 % (1803944)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=3118242447:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.52/1.77 % (1803947)Instruction limit reached!
% 5.52/1.77 % (1803947)------------------------------
% 5.52/1.77 % (1803947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803947)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803947)Termination reason: Instruction limit
% 5.52/1.77 % (1803947)Termination phase: Saturation
% 5.52/1.77 % (1803947)Time elapsed: 0.038 s
% 5.52/1.77 % (1803947)Peak memory usage: 89 MB
% 5.52/1.77 % (1803947)Instructions burned: 109 (million)
% 5.52/1.77 % (1803948)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1268608878:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.52/1.77 % (1803945)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2815660666:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.52/1.77 % (1803946)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2255487620:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.52/1.77 % (1803949)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3478292154:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.52/1.77 % (1803950)dis-21_1_sil=8000:lcm=predicate:random_seed=754308605: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)
% 5.52/1.77 % (1803948)Instruction limit reached!
% 5.52/1.77 % (1803948)------------------------------
% 5.52/1.77 % (1803948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803948)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803948)Termination reason: Instruction limit
% 5.52/1.77 % (1803948)Termination phase: Saturation
% 5.52/1.77 % (1803948)Time elapsed: 0.069 s
% 5.52/1.77 % (1803948)Peak memory usage: 89 MB
% 5.52/1.77 % (1803948)Instructions burned: 115 (million)
% 5.52/1.77 % (1803950)Instruction limit reached!
% 5.52/1.77 % (1803950)------------------------------
% 5.52/1.77 % (1803950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803950)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803950)Termination reason: Instruction limit
% 5.52/1.77 % (1803950)Termination phase: Saturation
% 5.52/1.77 % (1803950)Time elapsed: 0.071 s
% 5.52/1.77 % (1803950)Peak memory usage: 89 MB
% 5.52/1.77 % (1803950)Instructions burned: 118 (million)
% 5.52/1.77 % (1803956)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=96886183:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.52/1.77 % (1803956)Refutation not found, incomplete strategy
% 5.52/1.77 % (1803956)------------------------------
% 5.52/1.77 % (1803956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803956)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803956)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.77 % (1803956)Time elapsed: 0.001 s
% 5.52/1.77 % (1803956)Peak memory usage: 88 MB
% 5.52/1.77 % (1803956)Instructions burned: 3 (million)
% 5.52/1.77 % (1803949)Instruction limit reached!
% 5.52/1.77 % (1803949)------------------------------
% 5.52/1.77 % (1803949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803949)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803949)Termination reason: Instruction limit
% 5.52/1.77 % (1803949)Termination phase: Saturation
% 5.52/1.77 % (1803949)Time elapsed: 0.135 s
% 5.52/1.77 % (1803949)Peak memory usage: 91 MB
% 5.52/1.77 % (1803949)Instructions burned: 181 (million)
% 5.52/1.77 % (1803959)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1546034363: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)
% 5.52/1.77 % (1803960)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1518520465:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.52/1.77 % (1803956)------------------------------
% 5.52/1.77 % (1803956)------------------------------
% 5.52/1.77 % (1803962)lrs+10_64_to=lpo:sil=8000:random_seed=351295241:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.52/1.77 % (1803959)Instruction limit reached!
% 5.52/1.77 % (1803959)------------------------------
% 5.52/1.77 % (1803959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803959)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803959)Termination reason: Instruction limit
% 5.52/1.77 % (1803959)Termination phase: Saturation
% 5.52/1.77 % (1803959)Time elapsed: 0.099 s
% 5.52/1.77 % (1803959)Peak memory usage: 90 MB
% 5.52/1.77 % (1803959)Instructions burned: 190 (million)
% 5.52/1.77 % (1803965)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2381702142:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.52/1.77 % (1803960)Instruction limit reached!
% 5.52/1.77 % (1803960)------------------------------
% 5.52/1.77 % (1803960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803960)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803960)Termination reason: Instruction limit
% 5.52/1.77 % (1803960)Termination phase: Saturation
% 5.52/1.77 % (1803960)Time elapsed: 0.120 s
% 5.52/1.77 % (1803960)Peak memory usage: 88 MB
% 5.52/1.77 % (1803960)Instructions burned: 219 (million)
% 5.52/1.77 % (1803962)Instruction limit reached!
% 5.52/1.77 % (1803962)------------------------------
% 5.52/1.77 % (1803962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803962)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803962)Termination reason: Instruction limit
% 5.52/1.77 % (1803962)Termination phase: Saturation
% 5.52/1.77 % (1803962)Time elapsed: 0.077 s
% 5.52/1.77 % (1803962)Peak memory usage: 89 MB
% 5.52/1.77 % (1803962)Instructions burned: 127 (million)
% 5.52/1.77 % (1803965)Instruction limit reached!
% 5.52/1.77 % (1803965)------------------------------
% 5.52/1.77 % (1803965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803965)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803965)Termination reason: Instruction limit
% 5.52/1.77 % (1803965)Termination phase: Saturation
% 5.52/1.77 % (1803965)Time elapsed: 0.068 s
% 5.52/1.77 % (1803965)Peak memory usage: 90 MB
% 5.52/1.77 % (1803965)Instructions burned: 198 (million)
% 5.52/1.77 % (1803967)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2880007728:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.52/1.77 % (1803969)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1124836332:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.52/1.77 % (1803971)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1246363940:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 5.52/1.77 % (1803970)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=2851710888:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 5.52/1.77 % (1803971)Instruction limit reached!
% 5.52/1.77 % (1803971)------------------------------
% 5.52/1.77 % (1803971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803971)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803971)Termination reason: Instruction limit
% 5.52/1.77 % (1803971)Termination phase: Saturation
% 5.52/1.77 % (1803971)Time elapsed: 0.040 s
% 5.52/1.77 % (1803971)Peak memory usage: 89 MB
% 5.52/1.77 % (1803971)Instructions burned: 108 (million)
% 5.52/1.77 % (1803967)Instruction limit reached!
% 5.52/1.77 % (1803967)------------------------------
% 5.52/1.77 % (1803967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803967)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803967)Termination reason: Instruction limit
% 5.52/1.77 % (1803967)Termination phase: Saturation
% 5.52/1.77 % (1803967)Time elapsed: 0.110 s
% 5.52/1.77 % (1803967)Peak memory usage: 91 MB
% 5.52/1.77 % (1803967)Instructions burned: 158 (million)
% 5.52/1.77 % (1803970)Instruction limit reached!
% 5.52/1.77 % (1803970)------------------------------
% 5.52/1.77 % (1803970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803970)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803970)Termination reason: Instruction limit
% 5.52/1.77 % (1803970)Termination phase: Saturation
% 5.52/1.77 % (1803970)Time elapsed: 0.065 s
% 5.52/1.77 % (1803970)Peak memory usage: 90 MB
% 5.52/1.77 % (1803970)Instructions burned: 107 (million)
% 5.52/1.77 % (1803945)First to succeed.
% 5.52/1.77 % (1803945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1803939"
% 5.52/1.77 % (1803976)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1639327552:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 5.52/1.77 % (1803977)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3920683313:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 5.52/1.77 % (1803944)Also succeeded, but the first one will report.
% 5.52/1.77 % (1803978)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=488351855:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 5.52/1.77 % (1803978)Refutation not found, incomplete strategy
% 5.52/1.77 % (1803978)------------------------------
% 5.52/1.77 % (1803978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.77 % (1803978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.77 % (1803978)CaDiCaL version: 2.1.3
% 5.52/1.77 % (1803978)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.77 % (1803978)Time elapsed: 0.023 s
% 5.52/1.77 % (1803978)Peak memory usage: 89 MB
% 5.52/1.77 % (1803978)Instructions burned: 31 (million)
% 5.52/1.77 % (1803945)Refutation found. Thanks to Tanya!
% 5.52/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.52/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.98/1.97 % (1803945)------------------------------
% 6.98/1.97 % (1803945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.97 % (1803945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.97 % (1803945)CaDiCaL version: 2.1.3
% 6.98/1.97 % (1803945)Termination reason: Refutation
% 6.98/1.97 % (1803945)Time elapsed: 0.595 s
% 6.98/1.97 % (1803945)Peak memory usage: 130 MB
% 6.98/1.97 % (1803945)Instructions burned: 995 (million)
% 6.98/1.97 % (1803945)------------------------------
% 6.98/1.97 % (1803945)------------------------------
% 6.98/1.97 % (1803939)Success in time 0.909 s
% 6.98/1.97 % Vampire exiting
%------------------------------------------------------------------------------