%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET105-6 : 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 : n017.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 12:40:09 PM UTC 2026
% Result : Unsatisfiable 6.41s 1.95s
% Output : Refutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 107 ( 32 unt; 12 def)
% Number of atoms : 221 ( 64 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 209 ( 95 ~; 108 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
unordered_pair(null_class,singleton(null_class)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_3_of_ordered_pair_1) ).
fof(f102,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_3_of_ordered_pair_2) ).
fof(f103,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_3_of_ordered_pair_3) ).
fof(f108,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(f152,plain,
unordered_pair(null_class,unordered_pair(null_class,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f101,f12,f108]) ).
fof(f156,definition,
sF0 = unordered_pair(null_class,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f157,plain,
unordered_pair(null_class,null_class) = sF0,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF1 = unordered_pair(null_class,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f159,plain,
unordered_pair(null_class,sF0) = sF1,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF2 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f161,plain,
unordered_pair(x,x) = sF2,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF3 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f163,plain,
unordered_pair(y,y) = sF3,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF4 = unordered_pair(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
unordered_pair(x,sF3) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = unordered_pair(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
unordered_pair(sF2,sF4) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,plain,
sF1 != sF5,
inference(definition_folding,[],[f152,f167,f165,f163,f161,f159,f157]) ).
fof(f172,plain,
member(sF3,universal_class),
inference(superposition,[],[f11,f163]) ).
fof(f178,plain,
! [X0] :
( ~ member(X0,sF2)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f161]) ).
fof(f180,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f163]) ).
fof(f182,plain,
! [X0] :
( ~ member(X0,sF3)
| y = X0 ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f183,plain,
! [X0] :
( ~ member(X0,sF2)
| x = X0 ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f186,plain,
! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f103]) ).
fof(f187,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f102]) ).
fof(f189,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[],[f187,f4]) ).
fof(f190,plain,
! [X0] : ~ member(y,X0),
inference(forward_subsumption_resolution,[],[f186,f4]) ).
fof(f192,plain,
( y = regular(sF3)
| null_class = sF3 ),
inference(resolution,[],[f182,f68]) ).
fof(f195,definition,
( spl6_1
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f196,plain,
( null_class != sF3
| spl6_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( null_class = sF3
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl6_2
<=> y = regular(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f201,plain,
( y = regular(sF3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f192,f199,f195]) ).
fof(f204,plain,
( x = regular(sF2)
| null_class = sF2 ),
inference(resolution,[],[f183,f68]) ).
fof(f207,definition,
( spl6_3
<=> null_class = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f208,plain,
( null_class != sF2
| spl6_3 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( null_class = sF2
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f211,definition,
( spl6_4
<=> x = regular(sF2) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f213,plain,
( x = regular(sF2)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f204,f211,f207]) ).
fof(f334,plain,
! [X2,X0,X1] :
( not_subclass_element(unordered_pair(X0,X1),X2) = X1
| not_subclass_element(unordered_pair(X0,X1),X2) = X0
| subclass(unordered_pair(X0,X1),X2) ),
inference(resolution,[],[f2,f8]) ).
fof(f404,plain,
! [X2,X0,X1] :
( not_subclass_element(unordered_pair(X0,X1),X2) = X0
| X0 != X1
| subclass(unordered_pair(X0,X1),X2) ),
inference(equality_factoring,[],[f334]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| subclass(unordered_pair(X0,X1),X2)
| X0 != X1
| subclass(unordered_pair(X0,X1),X2) ),
inference(superposition,[],[f3,f404]) ).
fof(f597,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| subclass(unordered_pair(X1,X0),X2)
| not_subclass_element(unordered_pair(X1,X0),X2) = X1
| subclass(unordered_pair(X1,X0),X2) ),
inference(superposition,[],[f3,f334]) ).
fof(f598,plain,
! [X2,X0,X1] :
( not_subclass_element(unordered_pair(X1,X0),X2) = X1
| subclass(unordered_pair(X1,X0),X2)
| ~ member(X0,X2) ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f599,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| ~ member(X0,X2)
| X0 != X1 ),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f614,plain,
( member(y,sF3)
| null_class = sF3
| ~ spl6_2 ),
inference(superposition,[],[f68,f201]) ).
fof(f617,plain,
( null_class = sF3
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f614,f190]) ).
fof(f618,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f617,f196]) ).
fof(f619,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f621,plain,
( sF4 = unordered_pair(x,null_class)
| ~ spl6_1 ),
inference(backward_demodulation,[],[f165,f197]) ).
fof(f622,plain,
( member(null_class,universal_class)
| ~ spl6_1 ),
inference(backward_demodulation,[],[f172,f197]) ).
fof(f700,plain,
( member(null_class,sF0)
| ~ member(null_class,universal_class) ),
inference(superposition,[],[f9,f157]) ).
fof(f752,definition,
( spl6_29
<=> member(null_class,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_29])],[avatar_definition]) ).
fof(f753,plain,
( member(null_class,universal_class)
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f756,definition,
( spl6_30
<=> member(null_class,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_30])],[avatar_definition]) ).
fof(f758,plain,
( member(null_class,sF0)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f769,plain,
( spl6_29
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f622,f195,f752]) ).
fof(f772,plain,
( ~ spl6_29
| spl6_30 ),
inference(avatar_split_clause,[],[f700,f756,f752]) ).
fof(f889,plain,
( member(x,sF2)
| null_class = sF2
| ~ spl6_4 ),
inference(superposition,[],[f68,f213]) ).
fof(f892,plain,
( null_class = sF2
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f889,f189]) ).
fof(f893,plain,
( $false
| spl6_3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f892,f208]) ).
fof(f894,plain,
( spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f985,plain,
! [X0] :
( subclass(sF0,X0)
| ~ member(null_class,X0)
| null_class != null_class ),
inference(superposition,[],[f599,f157]) ).
fof(f988,plain,
! [X0] :
( ~ member(null_class,X0)
| subclass(sF0,X0) ),
inference(trivial_inequality_removal,[],[f985]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X0,X1))
| subclass(unordered_pair(X0,X1),X2)
| subclass(unordered_pair(X0,X1),X2)
| ~ member(X1,X2) ),
inference(superposition,[],[f2,f598]) ).
fof(f1019,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X0,X1))
| subclass(unordered_pair(X0,X1),X2)
| ~ member(X1,X2) ),
inference(duplicate_literal_removal,[],[f1016]) ).
fof(f1050,plain,
! [X0] :
( subclass(sF0,unordered_pair(X0,null_class))
| ~ member(null_class,universal_class) ),
inference(resolution,[],[f988,f10]) ).
fof(f1054,plain,
( ! [X0] : subclass(sF0,unordered_pair(X0,null_class))
| ~ spl6_29 ),
inference(forward_subsumption_resolution,[],[f1050,f753]) ).
fof(f1244,plain,
( sF5 = unordered_pair(null_class,sF4)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f167,f209]) ).
fof(f1494,plain,
! [X0,X1] :
( subclass(unordered_pair(x,X0),X1)
| ~ member(X0,X1) ),
inference(resolution,[],[f1019,f189]) ).
fof(f1509,plain,
! [X0,X1] :
( ~ subclass(X1,unordered_pair(x,X0))
| ~ member(X0,X1)
| unordered_pair(x,X0) = X1 ),
inference(resolution,[],[f1494,f7]) ).
fof(f1680,plain,
( ~ member(null_class,sF0)
| sF0 = unordered_pair(x,null_class)
| ~ spl6_29 ),
inference(resolution,[],[f1509,f1054]) ).
fof(f1684,plain,
( sF0 = unordered_pair(x,null_class)
| ~ spl6_29
| ~ spl6_30 ),
inference(forward_subsumption_resolution,[],[f1680,f758]) ).
fof(f1685,plain,
( sF0 = sF4
| ~ spl6_1
| ~ spl6_29
| ~ spl6_30 ),
inference(backward_demodulation,[],[f621,f1684]) ).
fof(f1699,plain,
( unordered_pair(null_class,sF0) = sF5
| ~ spl6_1
| ~ spl6_3
| ~ spl6_29
| ~ spl6_30 ),
inference(backward_demodulation,[],[f1244,f1685]) ).
fof(f1711,plain,
( sF1 = sF5
| ~ spl6_1
| ~ spl6_3
| ~ spl6_29
| ~ spl6_30 ),
inference(forward_demodulation,[],[f1699,f159]) ).
fof(f1715,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_29
| ~ spl6_30 ),
inference(forward_subsumption_resolution,[],[f1711,f168]) ).
fof(f1716,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_29
| ~ spl6_30 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f202]) ).
cnf(s2,plain,
( spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f214]) ).
cnf(s21,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f619]) ).
cnf(s31,plain,
( ~ spl6_1
| spl6_29 ),
inference(sat_conversion,[],[f769]) ).
cnf(s35,plain,
( ~ spl6_29
| spl6_30 ),
inference(sat_conversion,[],[f772]) ).
cnf(s48,plain,
( spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f894]) ).
cnf(s74,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_29
| ~ spl6_30 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s77,plain,
spl6_1,
inference(rat,[],[s1,s21]) ).
cnf(s78,plain,
spl6_29,
inference(rat,[],[s31,s77]) ).
cnf(s82,plain,
spl6_30,
inference(rat,[],[s35,s78]) ).
cnf(s84,plain,
~ spl6_3,
inference(rat,[],[s74,s82,s77,s78]) ).
cnf(s87,plain,
~ spl6_4,
inference(rat,[],[s48,s84]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s2,s87,s84]) ).
fof(f1720,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET105-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:40:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.41/1.95 % (3113321)Input is clausal, will run a generic CNF schedule.
% 6.41/1.95 % (3113330)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2687092242:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.41/1.95 % (3113330)Instruction limit reached!
% 6.41/1.95 % (3113330)------------------------------
% 6.41/1.95 % (3113330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113330)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113330)Termination reason: Instruction limit
% 6.41/1.95 % (3113330)Termination phase: Saturation
% 6.41/1.95 % (3113330)Time elapsed: 0.037 s
% 6.41/1.95 % (3113330)Peak memory usage: 89 MB
% 6.41/1.95 % (3113330)Instructions burned: 118 (million)
% 6.41/1.95 % (3113329)lrs+10_1_sil=8000:sp=occurrence:random_seed=2670646770:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.41/1.95 % (3113332)dis-21_1_sil=8000:lcm=predicate:random_seed=3285821919: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)
% 6.41/1.95 % (3113327)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2116671569:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.41/1.95 % (3113328)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3859873037:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.41/1.95 % (3113331)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2640658509:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.41/1.95 % (3113326)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=4102697221:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.41/1.95 % (3113329)Refutation not found, incomplete strategy
% 6.41/1.95 % (3113329)------------------------------
% 6.41/1.95 % (3113329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113329)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113329)Termination reason: Refutation not found, incomplete strategy
% 6.41/1.95 % (3113329)Time elapsed: 0.002 s
% 6.41/1.95 % (3113329)Peak memory usage: 87 MB
% 6.41/1.95 % (3113329)Instructions burned: 1 (million)
% 6.41/1.95 % (3113332)Instruction limit reached!
% 6.41/1.95 % (3113332)------------------------------
% 6.41/1.95 % (3113332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113332)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113332)Termination reason: Instruction limit
% 6.41/1.95 % (3113332)Termination phase: Saturation
% 6.41/1.95 % (3113332)Time elapsed: 0.065 s
% 6.41/1.95 % (3113332)Peak memory usage: 88 MB
% 6.41/1.95 % (3113332)Instructions burned: 120 (million)
% 6.41/1.95 % (3113334)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=3096392207:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.41/1.95 % (3113334)Refutation not found, incomplete strategy
% 6.41/1.95 % (3113334)------------------------------
% 6.41/1.95 % (3113334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113334)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113334)Termination reason: Refutation not found, incomplete strategy
% 6.41/1.95 % (3113334)Time elapsed: 0.002 s
% 6.41/1.95 % (3113334)Peak memory usage: 88 MB
% 6.41/1.95 % (3113334)Instructions burned: 3 (million)
% 6.41/1.95 % (3113331)Instruction limit reached!
% 6.41/1.95 % (3113331)------------------------------
% 6.41/1.95 % (3113331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113331)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113331)Termination reason: Instruction limit
% 6.41/1.95 % (3113331)Termination phase: Saturation
% 6.41/1.95 % (3113331)Time elapsed: 0.137 s
% 6.41/1.95 % (3113331)Peak memory usage: 90 MB
% 6.41/1.95 % (3113331)Instructions burned: 181 (million)
% 6.41/1.95 % (3113341)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1379424325: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)
% 6.41/1.95 % (3113329)------------------------------
% 6.41/1.95 % (3113329)------------------------------
% 6.41/1.95 % (3113334)------------------------------
% 6.41/1.95 % (3113334)------------------------------
% 6.41/1.95 % (3113343)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3736046225:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.41/1.95 % (3113341)Instruction limit reached!
% 6.41/1.95 % (3113341)------------------------------
% 6.41/1.95 % (3113341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113341)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113341)Termination reason: Instruction limit
% 6.41/1.95 % (3113341)Termination phase: Saturation
% 6.41/1.95 % (3113341)Time elapsed: 0.111 s
% 6.41/1.95 % (3113341)Peak memory usage: 91 MB
% 6.41/1.95 % (3113341)Instructions burned: 190 (million)
% 6.41/1.95 % (3113346)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3127218509:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.41/1.95 % (3113345)lrs+10_64_to=lpo:sil=8000:random_seed=568398294:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.41/1.95 % (3113343)Instruction limit reached!
% 6.41/1.95 % (3113343)------------------------------
% 6.41/1.95 % (3113343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113343)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113343)Termination reason: Instruction limit
% 6.41/1.95 % (3113343)Termination phase: Saturation
% 6.41/1.95 % (3113343)Time elapsed: 0.134 s
% 6.41/1.95 % (3113343)Peak memory usage: 89 MB
% 6.41/1.95 % (3113343)Instructions burned: 220 (million)
% 6.41/1.95 % (3113346)Instruction limit reached!
% 6.41/1.95 % (3113346)------------------------------
% 6.41/1.95 % (3113346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113346)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113346)Termination reason: Instruction limit
% 6.41/1.95 % (3113346)Termination phase: Saturation
% 6.41/1.95 % (3113346)Time elapsed: 0.061 s
% 6.41/1.95 % (3113346)Peak memory usage: 89 MB
% 6.41/1.95 % (3113346)Instructions burned: 195 (million)
% 6.41/1.95 % (3113345)Instruction limit reached!
% 6.41/1.95 % (3113345)------------------------------
% 6.41/1.95 % (3113345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113345)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113345)Termination reason: Instruction limit
% 6.41/1.95 % (3113345)Termination phase: Saturation
% 6.41/1.95 % (3113345)Time elapsed: 0.083 s
% 6.41/1.95 % (3113345)Peak memory usage: 89 MB
% 6.41/1.95 % (3113345)Instructions burned: 127 (million)
% 6.41/1.95 % (3113348)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4228853829:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.41/1.95 % (3113352)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=2039026406:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.41/1.95 % (3113351)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4197402625:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.41/1.95 % (3113352)Instruction limit reached!
% 6.41/1.95 % (3113352)------------------------------
% 6.41/1.95 % (3113352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113352)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113352)Termination reason: Instruction limit
% 6.41/1.95 % (3113352)Termination phase: Saturation
% 6.41/1.95 % (3113352)Time elapsed: 0.035 s
% 6.41/1.95 % (3113352)Peak memory usage: 90 MB
% 6.41/1.95 % (3113352)Instructions burned: 107 (million)
% 6.41/1.95 % (3113348)Instruction limit reached!
% 6.41/1.95 % (3113348)------------------------------
% 6.41/1.95 % (3113348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113348)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113348)Termination reason: Instruction limit
% 6.41/1.95 % (3113348)Termination phase: Saturation
% 6.41/1.95 % (3113348)Time elapsed: 0.107 s
% 6.41/1.95 % (3113348)Peak memory usage: 91 MB
% 6.41/1.95 % (3113348)Instructions burned: 157 (million)
% 6.41/1.95 % (3113353)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3041123679:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.41/1.95 % (3113353)Refutation not found, incomplete strategy
% 6.41/1.95 % (3113353)------------------------------
% 6.41/1.95 % (3113353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113353)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113353)Termination reason: Refutation not found, incomplete strategy
% 6.41/1.95 % (3113353)Time elapsed: 0.005 s
% 6.41/1.95 % (3113353)Peak memory usage: 88 MB
% 6.41/1.95 % (3113353)Instructions burned: 7 (million)
% 6.41/1.95 % (3113357)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=810708555:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.41/1.95 % (3113358)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1653647342:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.41/1.95 % (3113328)First to succeed.
% 6.41/1.95 % (3113328)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3113321"
% 6.41/1.95 % (3113353)------------------------------
% 6.41/1.95 % (3113353)------------------------------
% 6.41/1.95 % (3113357)Instruction limit reached!
% 6.41/1.95 % (3113357)------------------------------
% 6.41/1.95 % (3113357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.95 % (3113357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.95 % (3113357)CaDiCaL version: 2.1.3
% 6.41/1.95 % (3113357)Termination reason: Instruction limit
% 6.41/1.95 % (3113357)Termination phase: Saturation
% 6.41/1.95 % (3113357)Time elapsed: 0.171 s
% 6.41/1.95 % (3113357)Peak memory usage: 90 MB
% 6.41/1.95 % (3113357)Instructions burned: 242 (million)
% 6.41/1.95 % (3113328)Refutation found. Thanks to Tanya!
% 6.41/1.95 % SZS status Unsatisfiable for theBenchmark
% 6.41/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.36/2.15 % (3113328)------------------------------
% 8.36/2.15 % (3113328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.15 % (3113328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.15 % (3113328)CaDiCaL version: 2.1.3
% 8.36/2.15 % (3113328)Termination reason: Refutation
% 8.36/2.15 % (3113328)Time elapsed: 0.763 s
% 8.36/2.15 % (3113328)Peak memory usage: 130 MB
% 8.36/2.15 % (3113328)Instructions burned: 1187 (million)
% 8.36/2.15 % (3113328)------------------------------
% 8.36/2.15 % (3113328)------------------------------
% 8.36/2.15 % (3113321)Success in time 1.097 s
% 8.36/2.15 % Vampire exiting
%------------------------------------------------------------------------------