%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET260-6 : 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 : n013.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 12:40:38 PM UTC 2026
% Result : Unsatisfiable 10.80s 2.55s
% Output : Refutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 104 ( 36 unt; 9 def)
% Number of atoms : 203 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 197 ( 98 ~; 96 |; 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 : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 88 ( 0 sgn 88 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
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(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
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(x,y),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_alternate_defn3_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_alternate_defn3_2) ).
fof(f124,negated_conjecture,
~ member(x,domain_of(xr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_alternate_defn3_3) ).
fof(f129,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(f138,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,f129]) ).
fof(f139,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,f129]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f129]) ).
fof(f145,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(f146,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f187,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(definition_unfolding,[],[f122,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f129]) ).
fof(f193,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f194,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f196,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f198,plain,
unordered_pair(x,sF1) = sF2,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f200,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f199]) ).
fof(f201,plain,
member(sF3,xr),
inference(definition_folding,[],[f187,f200,f198,f196,f194]) ).
fof(f202,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f203,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f202]) ).
fof(f204,plain,
member(sF3,sF4),
inference(definition_folding,[],[f188,f203,f200,f198,f196,f194]) ).
fof(f205,definition,
sF5 = domain_of(xr),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f206,plain,
domain_of(xr) = sF5,
inference(reorient_equations,[],[f205]) ).
fof(f207,plain,
~ member(x,sF5),
inference(definition_folding,[],[f124,f206]) ).
fof(f216,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f194]) ).
fof(f220,definition,
( spl6_1
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f221,plain,
( member(y,universal_class)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( ~ member(y,universal_class)
| spl6_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f238,definition,
( spl6_5
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f239,plain,
( member(x,universal_class)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( ~ member(x,universal_class)
| spl6_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl6_6
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f244,plain,
( member(x,sF0)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( ~ spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f216,f242,f238]) ).
fof(f285,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f138,f203]) ).
fof(f289,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f285,f196]) ).
fof(f292,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| member(x,universal_class) ),
inference(superposition,[],[f289,f194]) ).
fof(f297,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| spl6_5 ),
inference(forward_subsumption_resolution,[],[f292,f240]) ).
fof(f299,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl6_5 ),
inference(forward_demodulation,[],[f297,f198]) ).
fof(f301,plain,
( ~ member(sF3,sF4)
| spl6_5 ),
inference(forward_demodulation,[],[f299,f200]) ).
fof(f304,plain,
( $false
| spl6_5 ),
inference(forward_subsumption_resolution,[],[f301,f204]) ).
fof(f305,plain,
spl6_5,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f340,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,universal_class) ),
inference(superposition,[],[f139,f203]) ).
fof(f344,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(y,universal_class) ),
inference(superposition,[],[f340,f196]) ).
fof(f345,plain,
( ! [X0] : ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f344,f222]) ).
fof(f346,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| spl6_1 ),
inference(superposition,[],[f345,f194]) ).
fof(f350,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl6_1 ),
inference(forward_demodulation,[],[f346,f198]) ).
fof(f352,plain,
( ~ member(sF3,sF4)
| spl6_1 ),
inference(forward_demodulation,[],[f350,f200]) ).
fof(f355,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f352,f204]) ).
fof(f356,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f474,plain,
! [X0] :
( ~ member(X0,universal_class)
| null_class = intersection(xr,cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,sF5) ),
inference(superposition,[],[f146,f206]) ).
fof(f476,plain,
( null_class = intersection(xr,cross_product(unordered_pair(x,x),universal_class))
| member(x,sF5)
| ~ spl6_5 ),
inference(resolution,[],[f474,f239]) ).
fof(f487,plain,
( null_class = intersection(xr,cross_product(unordered_pair(x,x),universal_class))
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f476,f207]) ).
fof(f501,plain,
( null_class = intersection(xr,cross_product(sF0,universal_class))
| ~ spl6_5 ),
inference(forward_demodulation,[],[f487,f194]) ).
fof(f615,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f666,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f3,f615]) ).
fof(f672,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f666]) ).
fof(f676,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f672,f70]) ).
fof(f679,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f676,f7]) ).
fof(f680,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f679]) ).
fof(f686,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f680,f672]) ).
fof(f696,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f686]) ).
fof(f709,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f696]) ).
fof(f714,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f709,f68]) ).
fof(f720,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f709,f714]) ).
fof(f787,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(sF0,universal_class))
| ~ member(X0,xr) )
| ~ spl6_5 ),
inference(superposition,[],[f23,f501]) ).
fof(f795,plain,
( ! [X0] :
( ~ member(X0,cross_product(sF0,universal_class))
| ~ member(X0,xr) )
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f787,f720]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) )
| ~ spl6_5 ),
inference(resolution,[],[f795,f140]) ).
fof(f814,plain,
( ! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),xr)
| ~ member(y,universal_class)
| ~ member(X0,sF0) )
| ~ spl6_5 ),
inference(superposition,[],[f800,f196]) ).
fof(f815,plain,
( ! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),xr)
| ~ member(X0,sF0) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f814,f221]) ).
fof(f826,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),xr)
| ~ member(x,sF0)
| ~ spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f815,f194]) ).
fof(f830,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),xr)
| ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f826,f244]) ).
fof(f832,plain,
( ~ member(unordered_pair(sF0,sF2),xr)
| ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f830,f198]) ).
fof(f834,plain,
( ~ member(sF3,xr)
| ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f832,f200]) ).
fof(f837,plain,
( $false
| ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f834,f201]) ).
fof(f838,plain,
( ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f837]) ).
cnf(s3,plain,
( ~ spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f245]) ).
cnf(s8,plain,
spl6_5,
inference(sat_conversion,[],[f305]) ).
cnf(s12,plain,
spl6_1,
inference(sat_conversion,[],[f356]) ).
cnf(s36,plain,
( ~ spl6_1
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f838]) ).
cnf(s38,plain,
~ spl6_6,
inference(rat,[],[s36,s12,s8]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s3,s38,s8]) ).
fof(f839,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET260-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n013.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 01:14:07 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 10.80/2.55 % (719219)Input is clausal, will run a generic CNF schedule.
% 10.80/2.55 % (719324)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1840145918:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.80/2.55 % (719320)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1525437724:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.80/2.55 % (719321)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3417920745:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.80/2.55 % (719323)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3888772907:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.80/2.55 % (719322)lrs+10_1_sil=8000:sp=occurrence:random_seed=2483525876:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.80/2.55 % (719319)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=1382382694:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.80/2.55 % (719322)Refutation not found, incomplete strategy
% 10.80/2.55 % (719322)------------------------------
% 10.80/2.55 % (719322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719322)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719322)Termination reason: Refutation not found, incomplete strategy
% 10.80/2.55 % (719322)Time elapsed: 0.001 s
% 10.80/2.55 % (719322)Peak memory usage: 87 MB
% 10.80/2.55 % (719325)dis-21_1_sil=8000:lcm=predicate:random_seed=1840506083: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)
% 10.80/2.55 % (719324)Instruction limit reached!
% 10.80/2.55 % (719324)------------------------------
% 10.80/2.55 % (719324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719324)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719324)Termination reason: Instruction limit
% 10.80/2.55 % (719324)Termination phase: Saturation
% 10.80/2.55 % (719324)Time elapsed: 0.071 s
% 10.80/2.55 % (719324)Peak memory usage: 90 MB
% 10.80/2.55 % (719324)Instructions burned: 180 (million)
% 10.80/2.55 % (719323)Instruction limit reached!
% 10.80/2.55 % (719323)------------------------------
% 10.80/2.55 % (719323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719323)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719323)Termination reason: Instruction limit
% 10.80/2.55 % (719323)Termination phase: Saturation
% 10.80/2.55 % (719323)Time elapsed: 0.058 s
% 10.80/2.55 % (719323)Peak memory usage: 88 MB
% 10.80/2.55 % (719323)Instructions burned: 116 (million)
% 10.80/2.55 % (719325)Instruction limit reached!
% 10.80/2.55 % (719325)------------------------------
% 10.80/2.55 % (719325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719325)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719325)Termination reason: Instruction limit
% 10.80/2.55 % (719325)Termination phase: Saturation
% 10.80/2.55 % (719325)Time elapsed: 0.069 s
% 10.80/2.55 % (719325)Peak memory usage: 89 MB
% 10.80/2.55 % (719325)Instructions burned: 118 (million)
% 10.80/2.55 % (719339)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=2220452249:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.80/2.55 % (719339)Refutation not found, incomplete strategy
% 10.80/2.55 % (719339)------------------------------
% 10.80/2.55 % (719339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719339)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719339)Termination reason: Refutation not found, incomplete strategy
% 10.80/2.55 % (719339)Time elapsed: 0.001 s
% 10.80/2.55 % (719339)Peak memory usage: 87 MB
% 10.80/2.55 % (719340)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3047752182: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)
% 10.80/2.55 % (719341)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3395779771:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.80/2.55 % (719322)------------------------------
% 10.80/2.55 % (719322)------------------------------
% 10.80/2.55 % (719339)------------------------------
% 10.80/2.55 % (719339)------------------------------
% 10.80/2.55 % (719340)Instruction limit reached!
% 10.80/2.55 % (719340)------------------------------
% 10.80/2.55 % (719340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719340)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719340)Termination reason: Instruction limit
% 10.80/2.55 % (719340)Termination phase: Saturation
% 10.80/2.55 % (719340)Time elapsed: 0.175 s
% 10.80/2.55 % (719340)Peak memory usage: 91 MB
% 10.80/2.55 % (719340)Instructions burned: 190 (million)
% 10.80/2.55 % (719341)Instruction limit reached!
% 10.80/2.55 % (719341)------------------------------
% 10.80/2.55 % (719341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719341)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719341)Termination reason: Instruction limit
% 10.80/2.55 % (719341)Termination phase: Saturation
% 10.80/2.55 % (719341)Time elapsed: 0.255 s
% 10.80/2.55 % (719341)Peak memory usage: 89 MB
% 10.80/2.55 % (719341)Instructions burned: 220 (million)
% 10.80/2.55 % (719376)lrs+10_64_to=lpo:sil=8000:random_seed=1812863116:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.80/2.55 % (719376)Instruction limit reached!
% 10.80/2.55 % (719376)------------------------------
% 10.80/2.55 % (719376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719376)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719376)Termination reason: Instruction limit
% 10.80/2.55 % (719376)Termination phase: Saturation
% 10.80/2.55 % (719376)Time elapsed: 0.088 s
% 10.80/2.55 % (719376)Peak memory usage: 89 MB
% 10.80/2.55 % (719376)Instructions burned: 127 (million)
% 10.80/2.55 % (719381)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=307746616:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 10.80/2.55 % (719382)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1003471190:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 10.80/2.55 % (719381)Instruction limit reached!
% 10.80/2.55 % (719381)------------------------------
% 10.80/2.55 % (719381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719381)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719381)Termination reason: Instruction limit
% 10.80/2.55 % (719381)Termination phase: Saturation
% 10.80/2.55 % (719381)Time elapsed: 0.101 s
% 10.80/2.55 % (719381)Peak memory usage: 89 MB
% 10.80/2.55 % (719381)Instructions burned: 194 (million)
% 10.80/2.55 % (719388)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2080351707:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 10.80/2.55 % (719382)Instruction limit reached!
% 10.80/2.55 % (719382)------------------------------
% 10.80/2.55 % (719382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719382)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719382)Termination reason: Instruction limit
% 10.80/2.55 % (719382)Termination phase: Saturation
% 10.80/2.55 % (719382)Time elapsed: 0.163 s
% 10.80/2.55 % (719382)Peak memory usage: 91 MB
% 10.80/2.55 % (719382)Instructions burned: 157 (million)
% 10.80/2.55 % (719389)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=4098449520:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 10.80/2.55 % (719392)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2003100658:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.80/2.55 % (719389)Instruction limit reached!
% 10.80/2.55 % (719389)------------------------------
% 10.80/2.55 % (719389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719389)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719389)Termination reason: Instruction limit
% 10.80/2.55 % (719389)Termination phase: Saturation
% 10.80/2.55 % (719389)Time elapsed: 0.099 s
% 10.80/2.55 % (719389)Peak memory usage: 89 MB
% 10.80/2.55 % (719389)Instructions burned: 106 (million)
% 10.80/2.55 % (719395)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4191095397:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.80/2.55 % (719319)First to succeed.
% 10.80/2.55 % (719319)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-719219"
% 10.80/2.55 % (719392)Instruction limit reached!
% 10.80/2.55 % (719392)------------------------------
% 10.80/2.55 % (719392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719392)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719392)Termination reason: Instruction limit
% 10.80/2.55 % (719392)Termination phase: Saturation
% 10.80/2.55 % (719392)Time elapsed: 0.060 s
% 10.80/2.55 % (719392)Peak memory usage: 89 MB
% 10.80/2.55 % (719392)Instructions burned: 108 (million)
% 10.80/2.55 % (719395)Instruction limit reached!
% 10.80/2.55 % (719395)------------------------------
% 10.80/2.55 % (719395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719395)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719395)Termination reason: Instruction limit
% 10.80/2.55 % (719395)Termination phase: Saturation
% 10.80/2.55 % (719395)Time elapsed: 0.187 s
% 10.80/2.55 % (719395)Peak memory usage: 90 MB
% 10.80/2.55 % (719395)Instructions burned: 242 (million)
% 10.80/2.55 % (719405)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=505831642:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 10.80/2.55 % (719401)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2394015215:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 10.80/2.55 % (719405)Refutation not found, incomplete strategy
% 10.80/2.55 % (719405)------------------------------
% 10.80/2.55 % (719405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.55 % (719405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.55 % (719405)CaDiCaL version: 2.1.3
% 10.80/2.55 % (719405)Termination reason: Refutation not found, incomplete strategy
% 10.80/2.55 % (719405)Time elapsed: 0.001 s
% 10.80/2.55 % (719405)Peak memory usage: 88 MB
% 10.80/2.55 % (719319)Refutation found. Thanks to Tanya!
% 10.80/2.55 % SZS status Unsatisfiable for theBenchmark
% 10.80/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.33/2.82 % (719319)------------------------------
% 12.33/2.82 % (719319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.82 % (719319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.82 % (719319)CaDiCaL version: 2.1.3
% 12.33/2.82 % (719319)Termination reason: Refutation
% 12.33/2.82 % (719319)Time elapsed: 1.070 s
% 12.33/2.82 % (719319)Peak memory usage: 131 MB
% 12.33/2.82 % (719319)Instructions burned: 1079 (million)
% 12.33/2.82 % (719319)------------------------------
% 12.33/2.82 % (719319)------------------------------
% 12.33/2.82 % (719219)Success in time 1.661 s
% 12.33/2.82 % Vampire exiting
%------------------------------------------------------------------------------