%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET505-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:41:03 PM UTC 2026
% Result : Unsatisfiable 10.25s 2.38s
% Output : Refutation 11.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 88 ( 30 unt; 9 def)
% Number of atoms : 169 ( 50 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 143 ( 62 ~; 77 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/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,
member(ordered_pair(universal_class,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_universal_class_not_set_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f143,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(f185,plain,
member(unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f122,f127]) ).
fof(f190,definition,
sF0 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
unordered_pair(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = unordered_pair(universal_class,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
unordered_pair(universal_class,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,plain,
member(sF3,sF4),
inference(definition_folding,[],[f185,f199,f197,f195,f193,f191]) ).
fof(f204,plain,
( member(universal_class,sF0)
| ~ member(universal_class,universal_class) ),
inference(superposition,[],[f9,f191]) ).
fof(f206,definition,
( spl5_1
<=> member(universal_class,universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f207,plain,
( member(universal_class,universal_class)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( ~ member(universal_class,universal_class)
| spl5_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl5_2
<=> member(universal_class,sF0) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f212,plain,
( member(universal_class,sF0)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f204,f210,f206]) ).
fof(f269,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f317,definition,
( spl5_21
<=> null_class = sF0 ),
introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition]) ).
fof(f319,plain,
( null_class = sF0
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f333,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f269]) ).
fof(f359,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f333]) ).
fof(f371,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f386,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f431,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f386,f359]) ).
fof(f433,plain,
! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f437,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| member(X0,null_class) ),
inference(resolution,[],[f433,f10]) ).
fof(f495,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f136,f199]) ).
fof(f500,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f495,f193]) ).
fof(f562,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f371,f3]) ).
fof(f580,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f586,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f580,f70]) ).
fof(f588,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f586,f7]) ).
fof(f589,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f590,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f589,f580]) ).
fof(f601,plain,
( ~ member(universal_class,universal_class)
| null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class)
| ~ spl5_1 ),
inference(resolution,[],[f437,f207]) ).
fof(f636,plain,
( null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f601,f207]) ).
fof(f637,plain,
( null_class = sF0
| member(universal_class,null_class)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f636,f191]) ).
fof(f639,definition,
( spl5_37
<=> member(universal_class,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_37])],[avatar_definition]) ).
fof(f641,plain,
( member(universal_class,null_class)
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f642,plain,
( spl5_37
| spl5_21
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f637,f206,f317,f639]) ).
fof(f645,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f143,f590]) ).
fof(f646,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f650,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f646,f68]) ).
fof(f655,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f646,f650]) ).
fof(f719,plain,
( $false
| ~ spl5_37 ),
inference(resolution,[],[f641,f655]) ).
fof(f723,plain,
~ spl5_37,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f726,plain,
( member(universal_class,null_class)
| ~ spl5_2
| ~ spl5_21 ),
inference(superposition,[],[f212,f319]) ).
fof(f733,plain,
( $false
| ~ spl5_2
| ~ spl5_21 ),
inference(forward_subsumption_resolution,[],[f726,f655]) ).
fof(f734,plain,
( ~ spl5_2
| ~ spl5_21 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f787,plain,
( ~ member(unordered_pair(sF0,unordered_pair(universal_class,sF1)),sF4)
| member(universal_class,universal_class) ),
inference(superposition,[],[f500,f191]) ).
fof(f790,plain,
( ~ member(unordered_pair(sF0,unordered_pair(universal_class,sF1)),sF4)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f787,f208]) ).
fof(f792,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl5_1 ),
inference(forward_demodulation,[],[f790,f195]) ).
fof(f794,plain,
( ~ member(sF3,sF4)
| spl5_1 ),
inference(forward_demodulation,[],[f792,f197]) ).
fof(f796,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f794,f200]) ).
fof(f797,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f796]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s22,plain,
( ~ spl5_1
| spl5_21
| spl5_37 ),
inference(sat_conversion,[],[f642]) ).
cnf(s23,plain,
~ spl5_37,
inference(sat_conversion,[],[f723]) ).
cnf(s24,plain,
( ~ spl5_2
| ~ spl5_21 ),
inference(sat_conversion,[],[f734]) ).
cnf(s30,plain,
spl5_1,
inference(sat_conversion,[],[f797]) ).
cnf(s31,plain,
spl5_21,
inference(rat,[],[s22,s23,s30]) ).
cnf(s32,plain,
~ spl5_2,
inference(rat,[],[s24,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s32,s30]) ).
fof(f798,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET505-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:01:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.25/2.38 % (1799706)Input is clausal, will run a generic CNF schedule.
% 10.25/2.38 % (1799792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3338128849:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.25/2.38 % (1799784)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=3767744342:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.25/2.38 % (1799787)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=9512538:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.25/2.38 % (1799793)dis-21_1_sil=8000:lcm=predicate:random_seed=1034657382: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)
% 10.25/2.38 % (1799785)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=185545604:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.25/2.38 % (1799788)lrs+10_1_sil=8000:sp=occurrence:random_seed=3789580962:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.25/2.38 % (1799790)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3378525625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.25/2.38 % (1799788)Refutation not found, incomplete strategy
% 10.25/2.38 % (1799788)------------------------------
% 10.25/2.38 % (1799788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799788)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799788)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1799788)Time elapsed: 0.002 s
% 10.25/2.38 % (1799788)Peak memory usage: 87 MB
% 10.25/2.38 % (1799792)Instruction limit reached!
% 10.25/2.38 % (1799792)------------------------------
% 10.25/2.38 % (1799792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799792)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799792)Termination reason: Instruction limit
% 10.25/2.38 % (1799792)Termination phase: Saturation
% 10.25/2.38 % (1799792)Time elapsed: 0.109 s
% 10.25/2.38 % (1799792)Peak memory usage: 90 MB
% 10.25/2.38 % (1799792)Instructions burned: 182 (million)
% 10.25/2.38 % (1799790)Instruction limit reached!
% 10.25/2.38 % (1799790)------------------------------
% 10.25/2.38 % (1799790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799790)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799790)Termination reason: Instruction limit
% 10.25/2.38 % (1799790)Termination phase: Saturation
% 10.25/2.38 % (1799790)Time elapsed: 0.093 s
% 10.25/2.38 % (1799790)Peak memory usage: 88 MB
% 10.25/2.38 % (1799790)Instructions burned: 115 (million)
% 10.25/2.38 % (1799793)Instruction limit reached!
% 10.25/2.38 % (1799793)------------------------------
% 10.25/2.38 % (1799793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799793)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799793)Termination reason: Instruction limit
% 10.25/2.38 % (1799793)Termination phase: Saturation
% 10.25/2.38 % (1799793)Time elapsed: 0.128 s
% 10.25/2.38 % (1799793)Peak memory usage: 90 MB
% 10.25/2.38 % (1799793)Instructions burned: 118 (million)
% 10.25/2.38 % (1799832)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=75912799:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.25/2.38 % (1799832)Refutation not found, incomplete strategy
% 10.25/2.38 % (1799832)------------------------------
% 10.25/2.38 % (1799832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799832)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799832)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1799832)Time elapsed: 0.001 s
% 10.25/2.38 % (1799832)Peak memory usage: 87 MB
% 10.25/2.38 % (1799833)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3646100064:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.25/2.38 % (1799788)------------------------------
% 10.25/2.38 % (1799788)------------------------------
% 10.25/2.38 % (1799834)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1161403977:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.25/2.38 % (1799834)Refutation not found, incomplete strategy
% 10.25/2.38 % (1799834)------------------------------
% 10.25/2.38 % (1799834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799834)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799834)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.38 % (1799834)Time elapsed: 0.013 s
% 10.25/2.38 % (1799834)Peak memory usage: 88 MB
% 10.25/2.38 % (1799834)Instructions burned: 9 (million)
% 10.25/2.38 % (1799833)Instruction limit reached!
% 10.25/2.38 % (1799833)------------------------------
% 10.25/2.38 % (1799833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799833)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799833)Termination reason: Instruction limit
% 10.25/2.38 % (1799833)Termination phase: Saturation
% 10.25/2.38 % (1799833)Time elapsed: 0.157 s
% 10.25/2.38 % (1799833)Peak memory usage: 90 MB
% 10.25/2.38 % (1799833)Instructions burned: 190 (million)
% 10.25/2.38 % (1799832)------------------------------
% 10.25/2.38 % (1799832)------------------------------
% 10.25/2.38 % (1799843)lrs+10_64_to=lpo:sil=8000:random_seed=3711101665:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 10.25/2.38 % (1799846)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2853708187:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 10.25/2.38 % (1799845)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3801468865:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.25/2.38 % (1799843)Instruction limit reached!
% 10.25/2.38 % (1799843)------------------------------
% 10.25/2.38 % (1799843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799843)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799843)Termination reason: Instruction limit
% 10.25/2.38 % (1799843)Termination phase: Saturation
% 10.25/2.38 % (1799843)Time elapsed: 0.128 s
% 10.25/2.38 % (1799843)Peak memory usage: 89 MB
% 10.25/2.38 % (1799843)Instructions burned: 126 (million)
% 10.25/2.38 % (1799834)------------------------------
% 10.25/2.38 % (1799834)------------------------------
% 10.25/2.38 % (1799846)Instruction limit reached!
% 10.25/2.38 % (1799846)------------------------------
% 10.25/2.38 % (1799846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799846)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799846)Termination reason: Instruction limit
% 10.25/2.38 % (1799846)Termination phase: Saturation
% 10.25/2.38 % (1799846)Time elapsed: 0.094 s
% 10.25/2.38 % (1799846)Peak memory usage: 91 MB
% 10.25/2.38 % (1799846)Instructions burned: 158 (million)
% 10.25/2.38 % (1799845)Instruction limit reached!
% 10.25/2.38 % (1799845)------------------------------
% 10.25/2.38 % (1799845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799845)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799845)Termination reason: Instruction limit
% 10.25/2.38 % (1799845)Termination phase: Saturation
% 10.25/2.38 % (1799845)Time elapsed: 0.192 s
% 10.25/2.38 % (1799845)Peak memory usage: 89 MB
% 10.25/2.38 % (1799845)Instructions burned: 194 (million)
% 10.25/2.38 % (1799854)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3671527911:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 10.25/2.38 % (1799784)First to succeed.
% 10.25/2.38 % (1799784)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1799706"
% 10.25/2.38 % (1799855)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=3440677367:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 10.25/2.38 % (1799856)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4146226524:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 10.25/2.38 % (1799855)Instruction limit reached!
% 10.25/2.38 % (1799855)------------------------------
% 10.25/2.38 % (1799855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799855)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799855)Termination reason: Instruction limit
% 10.25/2.38 % (1799855)Termination phase: Saturation
% 10.25/2.38 % (1799855)Time elapsed: 0.092 s
% 10.25/2.38 % (1799855)Peak memory usage: 89 MB
% 10.25/2.38 % (1799855)Instructions burned: 106 (million)
% 10.25/2.38 % (1799856)Instruction limit reached!
% 10.25/2.38 % (1799856)------------------------------
% 10.25/2.38 % (1799856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.38 % (1799856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.38 % (1799856)CaDiCaL version: 2.1.3
% 10.25/2.38 % (1799856)Termination reason: Instruction limit
% 10.25/2.38 % (1799856)Termination phase: Saturation
% 10.25/2.38 % (1799856)Time elapsed: 0.120 s
% 10.25/2.38 % (1799856)Peak memory usage: 89 MB
% 10.25/2.38 % (1799856)Instructions burned: 108 (million)
% 10.25/2.38 % (1799861)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3663083699:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 10.25/2.38 % (1799784)Refutation found. Thanks to Tanya!
% 10.25/2.38 % SZS status Unsatisfiable for theBenchmark
% 10.25/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 11.33/2.67 % (1799784)------------------------------
% 11.33/2.67 % (1799784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.67 % (1799784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.67 % (1799784)CaDiCaL version: 2.1.3
% 11.33/2.67 % (1799784)Termination reason: Refutation
% 11.33/2.67 % (1799784)Time elapsed: 1.031 s
% 11.33/2.67 % (1799784)Peak memory usage: 131 MB
% 11.33/2.67 % (1799784)Instructions burned: 1076 (million)
% 11.33/2.67 % (1799784)------------------------------
% 11.33/2.67 % (1799784)------------------------------
% 11.33/2.67 % (1799706)Success in time 1.516 s
% 11.33/2.67 % Vampire exiting
%------------------------------------------------------------------------------