%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET206-6 : 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 : n003.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 12:40:31 PM UTC 2026
% Result : Unsatisfiable 5.87s 1.72s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 23 unt; 4 def)
% Number of atoms : 126 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 101 ( 46 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 75 !; 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(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(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(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
cross_product(null_class,y) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_with_null_class2_1) ).
fof(f123,plain,
null_class != cross_product(null_class,y),
inference(reorient_equations,[],[f122]) ).
fof(f128,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(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(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f140,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,f128]) ).
fof(f144,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(f187,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f190,definition,
sF0 = cross_product(null_class,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(null_class,y) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,plain,
null_class != sF0,
inference(definition_folding,[],[f123,f191]) ).
fof(f196,plain,
! [X0] :
( ~ member(X0,sF0)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f140,f191]) ).
fof(f201,plain,
! [X0] :
( subclass(sF0,X0)
| not_subclass_element(sF0,X0) = unordered_pair(unordered_pair(first(not_subclass_element(sF0,X0)),first(not_subclass_element(sF0,X0))),unordered_pair(first(not_subclass_element(sF0,X0)),unordered_pair(second(not_subclass_element(sF0,X0)),second(not_subclass_element(sF0,X0))))) ),
inference(resolution,[],[f2,f196]) ).
fof(f242,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f279,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f286,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f303,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f279,f3]) ).
fof(f310,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f313,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f286,f3]) ).
fof(f320,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f341,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f310,f70]) ).
fof(f342,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f341,f7]) ).
fof(f344,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f345,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f344,f310]) ).
fof(f347,plain,
( null_class = sF0
| not_subclass_element(sF0,null_class) = unordered_pair(unordered_pair(first(not_subclass_element(sF0,null_class)),first(not_subclass_element(sF0,null_class))),unordered_pair(first(not_subclass_element(sF0,null_class)),unordered_pair(second(not_subclass_element(sF0,null_class)),second(not_subclass_element(sF0,null_class))))) ),
inference(resolution,[],[f344,f201]) ).
fof(f349,plain,
not_subclass_element(sF0,null_class) = unordered_pair(unordered_pair(first(not_subclass_element(sF0,null_class)),first(not_subclass_element(sF0,null_class))),unordered_pair(first(not_subclass_element(sF0,null_class)),unordered_pair(second(not_subclass_element(sF0,null_class)),second(not_subclass_element(sF0,null_class))))),
inference(forward_subsumption_resolution,[],[f347,f192]) ).
fof(f352,plain,
! [X0,X1] :
( ~ member(not_subclass_element(sF0,null_class),cross_product(X0,X1))
| member(first(not_subclass_element(sF0,null_class)),X0) ),
inference(superposition,[],[f137,f349]) ).
fof(f354,plain,
( ~ member(not_subclass_element(sF0,null_class),sF0)
| member(first(not_subclass_element(sF0,null_class)),null_class) ),
inference(superposition,[],[f352,f191]) ).
fof(f356,definition,
( spl1_6
<=> member(first(not_subclass_element(sF0,null_class)),null_class) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f358,plain,
( member(first(not_subclass_element(sF0,null_class)),null_class)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl1_7
<=> member(not_subclass_element(sF0,null_class),sF0) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f362,plain,
( ~ member(not_subclass_element(sF0,null_class),sF0)
| spl1_7 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl1_6
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f354,f360,f356]) ).
fof(f365,definition,
( spl1_8
<=> subclass(sF0,null_class) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f366,plain,
( ~ subclass(sF0,null_class)
| spl1_8 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( subclass(sF0,null_class)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f375,plain,
( ~ subclass(sF0,sF0)
| subclass(sF0,null_class)
| spl1_7 ),
inference(resolution,[],[f362,f242]) ).
fof(f376,plain,
( null_class = sF0
| ~ spl1_8 ),
inference(resolution,[],[f367,f344]) ).
fof(f378,plain,
( $false
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f376,f192]) ).
fof(f379,plain,
~ spl1_8,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f381,plain,
( subclass(sF0,null_class)
| spl1_7 ),
inference(forward_subsumption_resolution,[],[f375,f187]) ).
fof(f384,plain,
( $false
| spl1_7
| spl1_8 ),
inference(forward_subsumption_resolution,[],[f381,f366]) ).
fof(f385,plain,
( spl1_7
| spl1_8 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f390,plain,
( ! [X0] :
( member(first(not_subclass_element(sF0,null_class)),X0)
| ~ subclass(null_class,X0) )
| ~ spl1_6 ),
inference(resolution,[],[f358,f1]) ).
fof(f414,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f320,f345]) ).
fof(f434,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f345]) ).
fof(f435,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f444,plain,
( ~ subclass(null_class,domain_of(null_class))
| ~ spl1_6 ),
inference(resolution,[],[f435,f390]) ).
fof(f450,plain,
( $false
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f444,f414]) ).
fof(f451,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f450]) ).
cnf(s6,plain,
( spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f363]) ).
cnf(s8,plain,
~ spl1_8,
inference(sat_conversion,[],[f379]) ).
cnf(s10,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f385]) ).
cnf(s12,plain,
~ spl1_6,
inference(sat_conversion,[],[f451]) ).
cnf(s14,plain,
spl1_7,
inference(rat,[],[s10,s8]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s6,s14,s12]) ).
fof(f454,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET206-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 01:08:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 5.87/1.72 % (1097926)Input is clausal, will run a generic CNF schedule.
% 5.87/1.72 % (1097937)dis-21_1_sil=8000:lcm=predicate:random_seed=789702618: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)
% 5.87/1.72 % (1097932)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2444707130:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.87/1.72 % (1097931)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=373489890:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.87/1.72 % (1097934)lrs+10_1_sil=8000:sp=occurrence:random_seed=1082105531:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.87/1.72 % (1097933)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1999567759:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.87/1.72 % (1097935)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2537691229:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.87/1.72 % (1097936)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1667304679:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.87/1.72 % (1097934)Refutation not found, incomplete strategy
% 5.87/1.72 % (1097934)------------------------------
% 5.87/1.72 % (1097934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097934)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097934)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1097934)Time elapsed: 0.001 s
% 5.87/1.72 % (1097934)Peak memory usage: 87 MB
% 5.87/1.72 % (1097935)Instruction limit reached!
% 5.87/1.72 % (1097935)------------------------------
% 5.87/1.72 % (1097935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097935)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097935)Termination reason: Instruction limit
% 5.87/1.72 % (1097935)Termination phase: Saturation
% 5.87/1.72 % (1097935)Time elapsed: 0.065 s
% 5.87/1.72 % (1097935)Peak memory usage: 88 MB
% 5.87/1.72 % (1097935)Instructions burned: 114 (million)
% 5.87/1.72 % (1097937)Instruction limit reached!
% 5.87/1.72 % (1097937)------------------------------
% 5.87/1.72 % (1097937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097937)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097937)Termination reason: Instruction limit
% 5.87/1.72 % (1097937)Termination phase: Saturation
% 5.87/1.72 % (1097937)Time elapsed: 0.069 s
% 5.87/1.72 % (1097937)Peak memory usage: 89 MB
% 5.87/1.72 % (1097937)Instructions burned: 117 (million)
% 5.87/1.72 % (1097936)Instruction limit reached!
% 5.87/1.72 % (1097936)------------------------------
% 5.87/1.72 % (1097936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097936)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097936)Termination reason: Instruction limit
% 5.87/1.72 % (1097936)Termination phase: Saturation
% 5.87/1.72 % (1097936)Time elapsed: 0.133 s
% 5.87/1.72 % (1097936)Peak memory usage: 90 MB
% 5.87/1.72 % (1097936)Instructions burned: 181 (million)
% 5.87/1.72 % (1097946)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4192462331: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)
% 5.87/1.72 % (1097945)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=1678711196:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.87/1.72 % (1097945)Refutation not found, incomplete strategy
% 5.87/1.72 % (1097945)------------------------------
% 5.87/1.72 % (1097945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097945)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097945)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1097945)Time elapsed: 0.003 s
% 5.87/1.72 % (1097945)Peak memory usage: 88 MB
% 5.87/1.72 % (1097945)Instructions burned: 2 (million)
% 5.87/1.72 % (1097934)------------------------------
% 5.87/1.72 % (1097934)------------------------------
% 5.87/1.72 % (1097947)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2959101151:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.87/1.72 % (1097947)Refutation not found, incomplete strategy
% 5.87/1.72 % (1097947)------------------------------
% 5.87/1.72 % (1097947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097947)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097947)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1097947)Time elapsed: 0.002 s
% 5.87/1.72 % (1097947)Peak memory usage: 88 MB
% 5.87/1.72 % (1097947)Instructions burned: 3 (million)
% 5.87/1.72 % (1097946)Instruction limit reached!
% 5.87/1.72 % (1097946)------------------------------
% 5.87/1.72 % (1097946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097946)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097946)Termination reason: Instruction limit
% 5.87/1.72 % (1097946)Termination phase: Saturation
% 5.87/1.72 % (1097946)Time elapsed: 0.112 s
% 5.87/1.72 % (1097946)Peak memory usage: 91 MB
% 5.87/1.72 % (1097946)Instructions burned: 190 (million)
% 5.87/1.72 % (1097950)lrs+10_64_to=lpo:sil=8000:random_seed=2632217350:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.87/1.72 % (1097947)------------------------------
% 5.87/1.72 % (1097947)------------------------------
% 5.87/1.72 % (1097945)------------------------------
% 5.87/1.72 % (1097945)------------------------------
% 5.87/1.72 % (1097952)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3932327358:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.87/1.72 % (1097950)Instruction limit reached!
% 5.87/1.72 % (1097950)------------------------------
% 5.87/1.72 % (1097950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097950)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097950)Termination reason: Instruction limit
% 5.87/1.72 % (1097950)Termination phase: Saturation
% 5.87/1.72 % (1097950)Time elapsed: 0.082 s
% 5.87/1.72 % (1097950)Peak memory usage: 89 MB
% 5.87/1.72 % (1097950)Instructions burned: 127 (million)
% 5.87/1.72 % (1097954)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=974396357:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.87/1.72 % (1097954)Instruction limit reached!
% 5.87/1.72 % (1097954)------------------------------
% 5.87/1.72 % (1097954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097954)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097954)Termination reason: Instruction limit
% 5.87/1.72 % (1097954)Termination phase: Saturation
% 5.87/1.72 % (1097954)Time elapsed: 0.056 s
% 5.87/1.72 % (1097954)Peak memory usage: 91 MB
% 5.87/1.72 % (1097954)Instructions burned: 157 (million)
% 5.87/1.72 % (1097952)Instruction limit reached!
% 5.87/1.72 % (1097952)------------------------------
% 5.87/1.72 % (1097952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097952)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097952)Termination reason: Instruction limit
% 5.87/1.72 % (1097952)Termination phase: Saturation
% 5.87/1.72 % (1097952)Time elapsed: 0.124 s
% 5.87/1.72 % (1097952)Peak memory usage: 90 MB
% 5.87/1.72 % (1097952)Instructions burned: 196 (million)
% 5.87/1.72 % (1097955)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=583187822:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.87/1.72 % (1097957)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=94541552:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.87/1.72 % (1097931)First to succeed.
% 5.87/1.72 % (1097931)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1097926"
% 5.87/1.72 % (1097933)Also succeeded, but the first one will report.
% 5.87/1.72 % (1097957)Instruction limit reached!
% 5.87/1.72 % (1097957)------------------------------
% 5.87/1.72 % (1097957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097957)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097957)Termination reason: Instruction limit
% 5.87/1.72 % (1097957)Termination phase: Saturation
% 5.87/1.72 % (1097957)Time elapsed: 0.065 s
% 5.87/1.72 % (1097957)Peak memory usage: 90 MB
% 5.87/1.72 % (1097957)Instructions burned: 107 (million)
% 5.87/1.72 % (1097959)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3665917475:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 5.87/1.72 % (1097959)Refutation not found, incomplete strategy
% 5.87/1.72 % (1097959)------------------------------
% 5.87/1.72 % (1097959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1097959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1097959)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1097959)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1097959)Time elapsed: 0.003 s
% 5.87/1.72 % (1097959)Peak memory usage: 88 MB
% 5.87/1.72 % (1097959)Instructions burned: 8 (million)
% 5.87/1.72 % (1097960)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1664941605:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 5.87/1.72 % (1097959)------------------------------
% 5.87/1.72 % (1097959)------------------------------
% 5.87/1.72 % (1097964)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3005009971:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 5.87/1.72 % (1097931)Refutation found. Thanks to Tanya!
% 5.87/1.72 % SZS status Unsatisfiable for theBenchmark
% 5.87/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/1.82 % (1097931)------------------------------
% 8.27/1.82 % (1097931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.82 % (1097931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.82 % (1097931)CaDiCaL version: 2.1.3
% 8.27/1.82 % (1097931)Termination reason: Refutation
% 8.27/1.82 % (1097931)Time elapsed: 0.698 s
% 8.27/1.82 % (1097931)Peak memory usage: 129 MB
% 8.27/1.82 % (1097931)Instructions burned: 1045 (million)
% 8.27/1.82 % (1097931)------------------------------
% 8.27/1.82 % (1097931)------------------------------
% 8.27/1.82 % (1097926)Success in time 1.132 s
% 8.27/1.82 % Vampire exiting
%------------------------------------------------------------------------------