%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET104-6 : 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 : n002.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 12:40:08 PM UTC 2026
% Result : Unsatisfiable 9.63s 2.27s
% Output : Refutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 80 ( 32 unt; 9 def)
% Number of atoms : 150 ( 49 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 58 ~; 67 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 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(singleton(y))) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_2) ).
fof(f102,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_3) ).
fof(f107,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(f151,plain,
unordered_pair(null_class,unordered_pair(unordered_pair(y,y),unordered_pair(y,y))) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f101,f12,f12,f107]) ).
fof(f155,definition,
sF0 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f156,plain,
unordered_pair(y,y) = sF0,
inference(reorient_equations,[],[f155]) ).
fof(f157,definition,
sF1 = unordered_pair(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f158,plain,
unordered_pair(sF0,sF0) = sF1,
inference(reorient_equations,[],[f157]) ).
fof(f159,definition,
sF2 = unordered_pair(null_class,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f160,plain,
unordered_pair(null_class,sF1) = sF2,
inference(reorient_equations,[],[f159]) ).
fof(f161,definition,
sF3 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f162,plain,
unordered_pair(x,x) = sF3,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF4 = unordered_pair(x,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f164,plain,
unordered_pair(x,sF0) = sF4,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF5 = unordered_pair(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f166,plain,
unordered_pair(sF3,sF4) = sF5,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
sF2 != sF5,
inference(definition_folding,[],[f151,f166,f164,f156,f162,f160,f158,f156,f156]) ).
fof(f173,plain,
member(sF0,universal_class),
inference(superposition,[],[f11,f156]) ).
fof(f177,plain,
! [X0] :
( ~ member(X0,sF3)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f162]) ).
fof(f182,plain,
! [X0] :
( ~ member(X0,sF3)
| x = X0 ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f215,plain,
( member(sF0,sF4)
| ~ member(sF0,universal_class) ),
inference(superposition,[],[f10,f164]) ).
fof(f219,plain,
member(sF0,sF4),
inference(forward_subsumption_resolution,[],[f215,f173]) ).
fof(f221,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(f222,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f102]) ).
fof(f224,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[],[f222,f4]) ).
fof(f231,plain,
( x = regular(sF3)
| null_class = sF3 ),
inference(resolution,[],[f182,f68]) ).
fof(f233,definition,
( spl6_5
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f234,plain,
( null_class != sF3
| spl6_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( null_class = sF3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl6_6
<=> x = regular(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f239,plain,
( x = regular(sF3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
( spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f231,f237,f233]) ).
fof(f603,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,f221]) ).
fof(f607,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,[],[f603]) ).
fof(f649,plain,
( member(x,sF3)
| null_class = sF3
| ~ spl6_6 ),
inference(superposition,[],[f68,f239]) ).
fof(f652,plain,
( null_class = sF3
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f649,f224]) ).
fof(f653,plain,
( $false
| spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f652,f234]) ).
fof(f654,plain,
( spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f656,plain,
( sF5 = unordered_pair(null_class,sF4)
| ~ spl6_5 ),
inference(backward_demodulation,[],[f166,f235]) ).
fof(f757,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| subclass(unordered_pair(X0,X1),X2)
| subclass(unordered_pair(X0,X1),X2)
| ~ member(X1,X2) ),
inference(superposition,[],[f3,f607]) ).
fof(f758,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,f607]) ).
fof(f759,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X0,X1))
| subclass(unordered_pair(X0,X1),X2)
| ~ member(X1,X2) ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f760,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| ~ member(X0,X2)
| ~ member(X1,X2) ),
inference(duplicate_literal_removal,[],[f757]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ subclass(X1,unordered_pair(X0,X2))
| ~ member(X2,X1)
| ~ member(X0,X1)
| unordered_pair(X0,X2) = X1 ),
inference(resolution,[],[f760,f7]) ).
fof(f815,plain,
! [X0,X1] :
( subclass(unordered_pair(x,X0),X1)
| ~ member(X0,X1) ),
inference(resolution,[],[f759,f224]) ).
fof(f2615,plain,
! [X0] :
( ~ member(sF0,X0)
| subclass(sF4,X0) ),
inference(superposition,[],[f815,f164]) ).
fof(f2993,plain,
! [X0] :
( subclass(sF4,unordered_pair(sF0,X0))
| ~ member(sF0,universal_class) ),
inference(resolution,[],[f2615,f9]) ).
fof(f3013,plain,
! [X0] : subclass(sF4,unordered_pair(sF0,X0)),
inference(forward_subsumption_resolution,[],[f2993,f173]) ).
fof(f3043,definition,
( spl6_73
<=> sF1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_73])],[avatar_definition]) ).
fof(f3045,plain,
( sF1 = sF4
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f3043]) ).
fof(f3147,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(sF0,sF4)
| sF4 = unordered_pair(sF0,X0) ),
inference(resolution,[],[f3013,f762]) ).
fof(f3155,plain,
! [X0] :
( sF4 = unordered_pair(sF0,X0)
| ~ member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f3147,f219]) ).
fof(f3161,plain,
( sF1 = sF4
| ~ member(sF0,sF4) ),
inference(superposition,[],[f158,f3155]) ).
fof(f3279,plain,
sF1 = sF4,
inference(forward_subsumption_resolution,[],[f3161,f219]) ).
fof(f3322,plain,
spl6_73,
inference(avatar_split_clause,[],[f3279,f3043]) ).
fof(f3333,plain,
( unordered_pair(null_class,sF1) = sF5
| ~ spl6_5
| ~ spl6_73 ),
inference(backward_demodulation,[],[f656,f3045]) ).
fof(f3461,plain,
( sF2 = sF5
| ~ spl6_5
| ~ spl6_73 ),
inference(forward_demodulation,[],[f3333,f160]) ).
fof(f3474,plain,
( $false
| ~ spl6_5
| ~ spl6_73 ),
inference(forward_subsumption_resolution,[],[f3461,f167]) ).
fof(f3475,plain,
( ~ spl6_5
| ~ spl6_73 ),
inference(avatar_contradiction_clause,[],[f3474]) ).
cnf(s3,plain,
( spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f240]) ).
cnf(s24,plain,
( spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f654]) ).
cnf(s75,plain,
spl6_73,
inference(sat_conversion,[],[f3322]) ).
cnf(s78,plain,
( ~ spl6_5
| ~ spl6_73 ),
inference(sat_conversion,[],[f3475]) ).
cnf(s79,plain,
~ spl6_5,
inference(rat,[],[s78,s75]) ).
cnf(s82,plain,
~ spl6_6,
inference(rat,[],[s24,s79]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s3,s82,s79]) ).
fof(f3477,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET104-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:45:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 9.63/2.26 % (4054640)Input is clausal, will run a generic CNF schedule.
% 9.63/2.26 % (4054651)dis-21_1_sil=8000:lcm=predicate:random_seed=1932061895: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)
% 9.63/2.26 % (4054651)Instruction limit reached!
% 9.63/2.26 % (4054651)------------------------------
% 9.63/2.26 % (4054651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.26 % (4054651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.26 % (4054651)CaDiCaL version: 2.1.3
% 9.63/2.26 % (4054651)Termination reason: Instruction limit
% 9.63/2.26 % (4054651)Termination phase: Saturation
% 9.63/2.26 % (4054651)Time elapsed: 0.034 s
% 9.63/2.26 % (4054651)Peak memory usage: 89 MB
% 9.63/2.26 % (4054651)Instructions burned: 118 (million)
% 9.63/2.26 % (4054650)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=600337614:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.63/2.26 % (4054647)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=337071861:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.63/2.26 % (4054646)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3484138514:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.63/2.26 % (4054649)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1431562904:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.63/2.26 % (4054645)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=2317327393:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.63/2.26 % (4054648)lrs+10_1_sil=8000:sp=occurrence:random_seed=3047858401:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.63/2.26 % (4054648)Refutation not found, incomplete strategy
% 9.63/2.26 % (4054648)------------------------------
% 9.63/2.26 % (4054648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.26 % (4054648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054648)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054648)Termination reason: Refutation not found, incomplete strategy
% 9.63/2.27 % (4054648)Time elapsed: 0.002 s
% 9.63/2.27 % (4054648)Peak memory usage: 87 MB
% 9.63/2.27 % (4054648)Instructions burned: 1 (million)
% 9.63/2.27 % (4054649)Instruction limit reached!
% 9.63/2.27 % (4054649)------------------------------
% 9.63/2.27 % (4054649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054649)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054649)Termination reason: Instruction limit
% 9.63/2.27 % (4054649)Termination phase: Saturation
% 9.63/2.27 % (4054649)Time elapsed: 0.067 s
% 9.63/2.27 % (4054649)Peak memory usage: 89 MB
% 9.63/2.27 % (4054649)Instructions burned: 115 (million)
% 9.63/2.27 % (4054653)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=72900293:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.63/2.27 % (4054653)Refutation not found, incomplete strategy
% 9.63/2.27 % (4054653)------------------------------
% 9.63/2.27 % (4054653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054653)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054653)Termination reason: Refutation not found, incomplete strategy
% 9.63/2.27 % (4054653)Time elapsed: 0.002 s
% 9.63/2.27 % (4054653)Peak memory usage: 88 MB
% 9.63/2.27 % (4054653)Instructions burned: 3 (million)
% 9.63/2.27 % (4054650)Instruction limit reached!
% 9.63/2.27 % (4054650)------------------------------
% 9.63/2.27 % (4054650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054650)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054650)Termination reason: Instruction limit
% 9.63/2.27 % (4054650)Termination phase: Saturation
% 9.63/2.27 % (4054650)Time elapsed: 0.136 s
% 9.63/2.27 % (4054650)Peak memory usage: 90 MB
% 9.63/2.27 % (4054650)Instructions burned: 181 (million)
% 9.63/2.27 % (4054660)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=296891225: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)
% 9.63/2.27 % (4054648)------------------------------
% 9.63/2.27 % (4054648)------------------------------
% 9.63/2.27 % (4054653)------------------------------
% 9.63/2.27 % (4054653)------------------------------
% 9.63/2.27 % (4054662)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2600380571:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.63/2.27 % (4054660)Instruction limit reached!
% 9.63/2.27 % (4054660)------------------------------
% 9.63/2.27 % (4054660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054660)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054660)Termination reason: Instruction limit
% 9.63/2.27 % (4054660)Termination phase: Saturation
% 9.63/2.27 % (4054660)Time elapsed: 0.108 s
% 9.63/2.27 % (4054660)Peak memory usage: 91 MB
% 9.63/2.27 % (4054660)Instructions burned: 189 (million)
% 9.63/2.27 % (4054665)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3464831544:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.63/2.27 % (4054664)lrs+10_64_to=lpo:sil=8000:random_seed=3030095297:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.63/2.27 % (4054662)Instruction limit reached!
% 9.63/2.27 % (4054662)------------------------------
% 9.63/2.27 % (4054662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054662)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054662)Termination reason: Instruction limit
% 9.63/2.27 % (4054662)Termination phase: Saturation
% 9.63/2.27 % (4054662)Time elapsed: 0.131 s
% 9.63/2.27 % (4054662)Peak memory usage: 89 MB
% 9.63/2.27 % (4054662)Instructions burned: 221 (million)
% 9.63/2.27 % (4054665)Instruction limit reached!
% 9.63/2.27 % (4054665)------------------------------
% 9.63/2.27 % (4054665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054665)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054665)Termination reason: Instruction limit
% 9.63/2.27 % (4054665)Termination phase: Saturation
% 9.63/2.27 % (4054665)Time elapsed: 0.068 s
% 9.63/2.27 % (4054665)Peak memory usage: 90 MB
% 9.63/2.27 % (4054665)Instructions burned: 196 (million)
% 9.63/2.27 % (4054664)Instruction limit reached!
% 9.63/2.27 % (4054664)------------------------------
% 9.63/2.27 % (4054664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054664)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054664)Termination reason: Instruction limit
% 9.63/2.27 % (4054664)Termination phase: Saturation
% 9.63/2.27 % (4054664)Time elapsed: 0.082 s
% 9.63/2.27 % (4054664)Peak memory usage: 89 MB
% 9.63/2.27 % (4054664)Instructions burned: 127 (million)
% 9.63/2.27 % (4054667)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2547317778:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.63/2.27 % (4054671)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=3378387611:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.63/2.27 % (4054670)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1898874520:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 9.63/2.27 % (4054671)Instruction limit reached!
% 9.63/2.27 % (4054671)------------------------------
% 9.63/2.27 % (4054671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054671)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054671)Termination reason: Instruction limit
% 9.63/2.27 % (4054671)Termination phase: Saturation
% 9.63/2.27 % (4054671)Time elapsed: 0.035 s
% 9.63/2.27 % (4054671)Peak memory usage: 90 MB
% 9.63/2.27 % (4054671)Instructions burned: 107 (million)
% 9.63/2.27 % (4054667)Instruction limit reached!
% 9.63/2.27 % (4054667)------------------------------
% 9.63/2.27 % (4054667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054667)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054667)Termination reason: Instruction limit
% 9.63/2.27 % (4054667)Termination phase: Saturation
% 9.63/2.27 % (4054667)Time elapsed: 0.107 s
% 9.63/2.27 % (4054667)Peak memory usage: 91 MB
% 9.63/2.27 % (4054667)Instructions burned: 158 (million)
% 9.63/2.27 % (4054672)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2478966923:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.63/2.27 % (4054672)Refutation not found, incomplete strategy
% 9.63/2.27 % (4054672)------------------------------
% 9.63/2.27 % (4054672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054672)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054672)Termination reason: Refutation not found, incomplete strategy
% 9.63/2.27 % (4054672)Time elapsed: 0.005 s
% 9.63/2.27 % (4054672)Peak memory usage: 88 MB
% 9.63/2.27 % (4054672)Instructions burned: 7 (million)
% 9.63/2.27 % (4054676)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3139073429:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.63/2.27 % (4054677)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1413467506:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.63/2.27 % (4054676)Instruction limit reached!
% 9.63/2.27 % (4054676)------------------------------
% 9.63/2.27 % (4054676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054676)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054676)Termination reason: Instruction limit
% 9.63/2.27 % (4054676)Termination phase: Saturation
% 9.63/2.27 % (4054676)Time elapsed: 0.093 s
% 9.63/2.27 % (4054676)Peak memory usage: 90 MB
% 9.63/2.27 % (4054676)Instructions burned: 243 (million)
% 9.63/2.27 % (4054672)------------------------------
% 9.63/2.27 % (4054672)------------------------------
% 9.63/2.27 % (4054681)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=400335074:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.63/2.27 % (4054647)First to succeed.
% 9.63/2.27 % (4054647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4054640"
% 9.63/2.27 % (4054681)Instruction limit reached!
% 9.63/2.27 % (4054681)------------------------------
% 9.63/2.27 % (4054681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054681)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054681)Termination reason: Instruction limit
% 9.63/2.27 % (4054681)Termination phase: Saturation
% 9.63/2.27 % (4054681)Time elapsed: 0.043 s
% 9.63/2.27 % (4054681)Peak memory usage: 90 MB
% 9.63/2.27 % (4054681)Instructions burned: 136 (million)
% 9.63/2.27 % (4054645)Also succeeded, but the first one will report.
% 9.63/2.27 % (4054682)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2619091800:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.63/2.27 % (4054684)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3870609604:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 9.63/2.27 % (4054684)Instruction limit reached!
% 9.63/2.27 % (4054684)------------------------------
% 9.63/2.27 % (4054684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.27 % (4054684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.27 % (4054684)CaDiCaL version: 2.1.3
% 9.63/2.27 % (4054684)Termination reason: Instruction limit
% 9.63/2.27 % (4054684)Termination phase: Saturation
% 9.63/2.27 % (4054684)Time elapsed: 0.065 s
% 9.63/2.27 % (4054684)Peak memory usage: 90 MB
% 9.63/2.27 % (4054684)Instructions burned: 191 (million)
% 9.63/2.27 % (4054647)Refutation found. Thanks to Tanya!
% 9.63/2.27 % SZS status Unsatisfiable for theBenchmark
% 9.63/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 10.30/2.36 % (4054647)------------------------------
% 10.30/2.36 % (4054647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.30/2.36 % (4054647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.30/2.36 % (4054647)CaDiCaL version: 2.1.3
% 10.30/2.36 % (4054647)Termination reason: Refutation
% 10.30/2.36 % (4054647)Time elapsed: 0.955 s
% 10.30/2.36 % (4054647)Peak memory usage: 132 MB
% 10.30/2.36 % (4054647)Instructions burned: 1424 (million)
% 10.30/2.36 % (4054647)------------------------------
% 10.30/2.36 % (4054647)------------------------------
% 10.30/2.36 % (4054640)Success in time 1.393 s
% 10.30/2.36 % Vampire exiting
%------------------------------------------------------------------------------