%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET504-6 : 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 12:41:03 PM UTC 2026
% Result : Unsatisfiable 6.81s 2.00s
% Output : Refutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 84 ( 28 unt; 8 def)
% Number of atoms : 160 ( 51 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 135 ( 59 ~; 73 |; 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 : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
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(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(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,
member(ordered_pair(x,universal_class),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_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(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(X1,X3) ),
inference(definition_unfolding,[],[f15,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(x,x),unordered_pair(x,unordered_pair(universal_class,universal_class))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f122,f127]) ).
fof(f190,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
unordered_pair(universal_class,universal_class) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
unordered_pair(x,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,sF1)
| ~ member(universal_class,universal_class) ),
inference(superposition,[],[f9,f193]) ).
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,sF1) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f212,plain,
( member(universal_class,sF1)
| ~ 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(f308,definition,
( spl5_19
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f310,plain,
( null_class = sF1
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f308]) ).
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(f413,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(f415,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,[],[f413]) ).
fof(f419,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| member(X0,null_class) ),
inference(resolution,[],[f415,f10]) ).
fof(f556,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,universal_class) ),
inference(superposition,[],[f137,f199]) ).
fof(f563,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(universal_class,universal_class) ),
inference(superposition,[],[f556,f193]) ).
fof(f566,plain,
( ! [X0] : ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f563,f208]) ).
fof(f571,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| spl5_1 ),
inference(superposition,[],[f566,f191]) ).
fof(f574,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl5_1 ),
inference(forward_demodulation,[],[f571,f195]) ).
fof(f576,plain,
( ~ member(sF3,sF4)
| spl5_1 ),
inference(forward_demodulation,[],[f574,f197]) ).
fof(f578,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f576,f200]) ).
fof(f579,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f596,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f371,f3]) ).
fof(f614,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f626,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f614,f70]) ).
fof(f627,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f626,f7]) ).
fof(f628,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f627]) ).
fof(f629,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f628,f614]) ).
fof(f638,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f143,f629]) ).
fof(f639,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f638]) ).
fof(f642,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f639,f68]) ).
fof(f647,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f639,f642]) ).
fof(f697,plain,
( ~ member(universal_class,universal_class)
| null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class)
| ~ spl5_1 ),
inference(resolution,[],[f419,f207]) ).
fof(f705,plain,
( null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f697,f207]) ).
fof(f732,plain,
( null_class = unordered_pair(universal_class,universal_class)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f705,f647]) ).
fof(f733,plain,
( null_class = sF1
| ~ spl5_1 ),
inference(forward_demodulation,[],[f732,f193]) ).
fof(f734,plain,
( spl5_19
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f733,f206,f308]) ).
fof(f736,plain,
( member(universal_class,null_class)
| ~ spl5_2
| ~ spl5_19 ),
inference(superposition,[],[f212,f310]) ).
fof(f741,plain,
( $false
| ~ spl5_2
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f736,f647]) ).
fof(f742,plain,
( ~ spl5_2
| ~ spl5_19 ),
inference(avatar_contradiction_clause,[],[f741]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s21,plain,
spl5_1,
inference(sat_conversion,[],[f579]) ).
cnf(s24,plain,
( ~ spl5_1
| spl5_19 ),
inference(sat_conversion,[],[f734]) ).
cnf(s25,plain,
( ~ spl5_2
| ~ spl5_19 ),
inference(sat_conversion,[],[f742]) ).
cnf(s28,plain,
spl5_19,
inference(rat,[],[s24,s21]) ).
cnf(s29,plain,
~ spl5_2,
inference(rat,[],[s25,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s29,s21]) ).
fof(f749,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET504-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:02:39 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.81/2.00 % (4083676)Input is clausal, will run a generic CNF schedule.
% 6.81/2.00 % (4083686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3942890471:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.81/2.00 % (4083683)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=686872750:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.81/2.00 % (4083684)lrs+10_1_sil=8000:sp=occurrence:random_seed=2764411219:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.81/2.00 % (4083682)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1792587627:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.81/2.00 % (4083681)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=3814809895:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.81/2.00 % (4083685)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2683226356:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.81/2.00 % (4083684)Refutation not found, incomplete strategy
% 6.81/2.00 % (4083684)------------------------------
% 6.81/2.00 % (4083684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083684)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083684)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.00 % (4083684)Time elapsed: 0.001 s
% 6.81/2.00 % (4083684)Peak memory usage: 87 MB
% 6.81/2.00 % (4083687)dis-21_1_sil=8000:lcm=predicate:random_seed=3179066851: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)
% 6.81/2.00 % (4083686)Instruction limit reached!
% 6.81/2.00 % (4083686)------------------------------
% 6.81/2.00 % (4083686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083686)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083686)Termination reason: Instruction limit
% 6.81/2.00 % (4083686)Termination phase: Saturation
% 6.81/2.00 % (4083686)Time elapsed: 0.074 s
% 6.81/2.00 % (4083686)Peak memory usage: 90 MB
% 6.81/2.00 % (4083686)Instructions burned: 182 (million)
% 6.81/2.00 % (4083685)Instruction limit reached!
% 6.81/2.00 % (4083685)------------------------------
% 6.81/2.00 % (4083685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083685)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083685)Termination reason: Instruction limit
% 6.81/2.00 % (4083685)Termination phase: Saturation
% 6.81/2.00 % (4083685)Time elapsed: 0.060 s
% 6.81/2.00 % (4083685)Peak memory usage: 88 MB
% 6.81/2.00 % (4083685)Instructions burned: 117 (million)
% 6.81/2.00 % (4083687)Instruction limit reached!
% 6.81/2.00 % (4083687)------------------------------
% 6.81/2.00 % (4083687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083687)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083687)Termination reason: Instruction limit
% 6.81/2.00 % (4083687)Termination phase: Saturation
% 6.81/2.00 % (4083687)Time elapsed: 0.078 s
% 6.81/2.00 % (4083687)Peak memory usage: 89 MB
% 6.81/2.00 % (4083687)Instructions burned: 118 (million)
% 6.81/2.00 % (4083695)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=282207625:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.81/2.00 % (4083695)Refutation not found, incomplete strategy
% 6.81/2.00 % (4083695)------------------------------
% 6.81/2.00 % (4083695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083695)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083695)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.00 % (4083695)Time elapsed: 0.001 s
% 6.81/2.00 % (4083695)Peak memory usage: 87 MB
% 6.81/2.00 % (4083696)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1303903404: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)
% 6.81/2.00 % (4083697)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1745166024:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.81/2.00 % (4083697)Refutation not found, incomplete strategy
% 6.81/2.00 % (4083697)------------------------------
% 6.81/2.00 % (4083697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083697)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083697)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.00 % (4083697)Time elapsed: 0.003 s
% 6.81/2.00 % (4083697)Peak memory usage: 88 MB
% 6.81/2.00 % (4083697)Instructions burned: 4 (million)
% 6.81/2.00 % (4083684)------------------------------
% 6.81/2.00 % (4083684)------------------------------
% 6.81/2.00 % (4083695)------------------------------
% 6.81/2.00 % (4083695)------------------------------
% 6.81/2.00 % (4083696)Instruction limit reached!
% 6.81/2.00 % (4083696)------------------------------
% 6.81/2.00 % (4083696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083696)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083696)Termination reason: Instruction limit
% 6.81/2.00 % (4083696)Termination phase: Saturation
% 6.81/2.00 % (4083696)Time elapsed: 0.089 s
% 6.81/2.00 % (4083696)Peak memory usage: 90 MB
% 6.81/2.00 % (4083696)Instructions burned: 189 (million)
% 6.81/2.00 % (4083701)lrs+10_64_to=lpo:sil=8000:random_seed=539332774:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.81/2.00 % (4083702)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1902444165:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.81/2.00 % (4083704)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2282113142:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.81/2.00 % (4083702)Instruction limit reached!
% 6.81/2.00 % (4083702)------------------------------
% 6.81/2.00 % (4083702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083702)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083702)Termination reason: Instruction limit
% 6.81/2.00 % (4083702)Termination phase: Saturation
% 6.81/2.00 % (4083702)Time elapsed: 0.064 s
% 6.81/2.00 % (4083702)Peak memory usage: 90 MB
% 6.81/2.00 % (4083702)Instructions burned: 195 (million)
% 6.81/2.00 % (4083697)------------------------------
% 6.81/2.00 % (4083697)------------------------------
% 6.81/2.00 % (4083701)Instruction limit reached!
% 6.81/2.00 % (4083701)------------------------------
% 6.81/2.00 % (4083701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083701)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083701)Termination reason: Instruction limit
% 6.81/2.00 % (4083701)Termination phase: Saturation
% 6.81/2.00 % (4083701)Time elapsed: 0.081 s
% 6.81/2.00 % (4083701)Peak memory usage: 90 MB
% 6.81/2.00 % (4083701)Instructions burned: 127 (million)
% 6.81/2.00 % (4083704)Instruction limit reached!
% 6.81/2.00 % (4083704)------------------------------
% 6.81/2.00 % (4083704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083704)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083704)Termination reason: Instruction limit
% 6.81/2.00 % (4083704)Termination phase: Saturation
% 6.81/2.00 % (4083704)Time elapsed: 0.110 s
% 6.81/2.00 % (4083704)Peak memory usage: 91 MB
% 6.81/2.00 % (4083704)Instructions burned: 158 (million)
% 6.81/2.00 % (4083708)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3669297375:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.81/2.00 % (4083709)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=804049568:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.81/2.00 % (4083710)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3313270159:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.81/2.00 % (4083709)Instruction limit reached!
% 6.81/2.00 % (4083709)------------------------------
% 6.81/2.00 % (4083709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083709)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083709)Termination reason: Instruction limit
% 6.81/2.00 % (4083709)Termination phase: Saturation
% 6.81/2.00 % (4083709)Time elapsed: 0.051 s
% 6.81/2.00 % (4083709)Peak memory usage: 89 MB
% 6.81/2.00 % (4083709)Instructions burned: 106 (million)
% 6.81/2.00 % (4083681)First to succeed.
% 6.81/2.00 % (4083710)Instruction limit reached!
% 6.81/2.00 % (4083710)------------------------------
% 6.81/2.00 % (4083710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083710)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083710)Termination reason: Instruction limit
% 6.81/2.00 % (4083710)Termination phase: Saturation
% 6.81/2.00 % (4083710)Time elapsed: 0.073 s
% 6.81/2.00 % (4083710)Peak memory usage: 89 MB
% 6.81/2.00 % (4083710)Instructions burned: 107 (million)
% 6.81/2.00 % (4083681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4083676"
% 6.81/2.00 % (4083711)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2235030020:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.81/2.00 % (4083715)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3733261348:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.81/2.00 % (4083716)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=303834081:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.81/2.00 % (4083716)Refutation not found, incomplete strategy
% 6.81/2.00 % (4083716)------------------------------
% 6.81/2.00 % (4083716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083716)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083716)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.00 % (4083716)Time elapsed: 0.001 s
% 6.81/2.00 % (4083716)Peak memory usage: 87 MB
% 6.81/2.00 % (4083711)Instruction limit reached!
% 6.81/2.00 % (4083711)------------------------------
% 6.81/2.00 % (4083711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.00 % (4083711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.00 % (4083711)CaDiCaL version: 2.1.3
% 6.81/2.00 % (4083711)Termination reason: Instruction limit
% 6.81/2.00 % (4083711)Termination phase: Saturation
% 6.81/2.00 % (4083711)Time elapsed: 0.170 s
% 6.81/2.00 % (4083711)Peak memory usage: 90 MB
% 6.81/2.00 % (4083711)Instructions burned: 242 (million)
% 6.81/2.00 % (4083681)Refutation found. Thanks to Tanya!
% 6.81/2.00 % SZS status Unsatisfiable for theBenchmark
% 6.81/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.71/2.19 % (4083681)------------------------------
% 8.71/2.19 % (4083681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.19 % (4083681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.19 % (4083681)CaDiCaL version: 2.1.3
% 8.71/2.19 % (4083681)Termination reason: Refutation
% 8.71/2.19 % (4083681)Time elapsed: 0.714 s
% 8.71/2.19 % (4083681)Peak memory usage: 129 MB
% 8.71/2.19 % (4083681)Instructions burned: 1058 (million)
% 8.71/2.19 % (4083681)------------------------------
% 8.71/2.19 % (4083681)------------------------------
% 8.71/2.19 % (4083676)Success in time 1.154 s
% 8.71/2.19 % Vampire exiting
%------------------------------------------------------------------------------