%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM061-1 : 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 : n019.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 12:11:40 PM UTC 2026
% Result : Unsatisfiable 6.44s 2.01s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 98 ( 39 unt; 9 def)
% Number of atoms : 196 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 189 ( 91 ~; 96 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
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(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(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(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(f133,axiom,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(restrict(X0,X1,singleton(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment) ).
fof(f176,negated_conjecture,
member(ordered_pair(u,z),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property5_1) ).
fof(f177,negated_conjecture,
member(u,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property5_2) ).
fof(f178,negated_conjecture,
member(z,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property5_3) ).
fof(f179,negated_conjecture,
~ member(u,segment(xr,y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property5_4) ).
fof(f180,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(f194,plain,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(intersection(X0,cross_product(X1,unordered_pair(X2,X2)))),
inference(definition_unfolding,[],[f133,f28,f12]) ).
fof(f197,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,f180]) ).
fof(f199,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,f180]) ).
fof(f205,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(f270,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),xr),
inference(definition_unfolding,[],[f176,f180]) ).
fof(f271,plain,
~ member(u,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),
inference(definition_unfolding,[],[f179,f194]) ).
fof(f278,definition,
sF0 = unordered_pair(u,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f279,plain,
unordered_pair(u,u) = sF0,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF1 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f281,plain,
unordered_pair(z,z) = sF1,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF2 = unordered_pair(u,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f283,plain,
unordered_pair(u,sF1) = sF2,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f285,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f284]) ).
fof(f286,plain,
member(sF3,xr),
inference(definition_folding,[],[f270,f285,f283,f281,f279]) ).
fof(f287,definition,
sF4 = cross_product(y,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f288,plain,
cross_product(y,sF1) = sF4,
inference(reorient_equations,[],[f287]) ).
fof(f289,definition,
sF5 = intersection(xr,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f290,plain,
intersection(xr,sF4) = sF5,
inference(reorient_equations,[],[f289]) ).
fof(f291,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f292,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f291]) ).
fof(f293,plain,
~ member(u,sF6),
inference(definition_folding,[],[f271,f292,f290,f288,f281]) ).
fof(f295,plain,
( member(u,sF0)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f279]) ).
fof(f297,plain,
( member(z,sF1)
| ~ member(z,universal_class) ),
inference(superposition,[],[f9,f281]) ).
fof(f298,plain,
member(z,sF1),
inference(forward_subsumption_resolution,[],[f297,f178]) ).
fof(f309,definition,
( spl7_3
<=> member(u,universal_class) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f310,plain,
( member(u,universal_class)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( ~ member(u,universal_class)
| spl7_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f313,definition,
( spl7_4
<=> member(u,sF0) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f315,plain,
( member(u,sF0)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( ~ spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f295,f313,f309]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),cross_product(X1,X2))
| member(X0,X1) ),
inference(superposition,[],[f197,f281]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f367,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF5)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f290]) ).
fof(f403,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),cross_product(X1,X2))
| ~ member(z,X2)
| ~ member(X0,X1) ),
inference(superposition,[],[f199,f281]) ).
fof(f404,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF1)
| ~ member(X0,y) ),
inference(superposition,[],[f199,f288]) ).
fof(f411,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| ~ member(z,sF1)
| ~ member(X0,y) ),
inference(superposition,[],[f404,f281]) ).
fof(f412,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| ~ member(X0,y) ),
inference(forward_subsumption_resolution,[],[f411,f298]) ).
fof(f432,plain,
( member(unordered_pair(unordered_pair(u,u),sF2),sF4)
| ~ member(u,y) ),
inference(superposition,[],[f412,f283]) ).
fof(f433,plain,
member(unordered_pair(unordered_pair(u,u),sF2),sF4),
inference(forward_subsumption_resolution,[],[f432,f177]) ).
fof(f435,plain,
member(unordered_pair(sF0,sF2),sF4),
inference(forward_demodulation,[],[f433,f279]) ).
fof(f437,plain,
member(sF3,sF4),
inference(forward_demodulation,[],[f435,f285]) ).
fof(f439,plain,
( member(sF3,sF5)
| ~ member(sF3,xr) ),
inference(resolution,[],[f437,f367]) ).
fof(f441,plain,
member(sF3,sF5),
inference(forward_subsumption_resolution,[],[f439,f286]) ).
fof(f467,plain,
! [X0] :
( ~ member(X0,universal_class)
| null_class = intersection(sF5,cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,sF6) ),
inference(superposition,[],[f205,f292]) ).
fof(f480,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f366,f4]) ).
fof(f489,plain,
! [X0] :
( ~ member(u,X0)
| member(u,universal_class) ),
inference(resolution,[],[f480,f177]) ).
fof(f506,plain,
( ! [X0] : ~ member(u,X0)
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f489,f311]) ).
fof(f507,plain,
( $false
| spl7_3 ),
inference(resolution,[],[f506,f177]) ).
fof(f512,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f546,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(u,u),universal_class))
| member(u,sF6)
| ~ spl7_3 ),
inference(resolution,[],[f310,f467]) ).
fof(f549,plain,
( null_class = intersection(sF5,cross_product(unordered_pair(u,u),universal_class))
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f546,f293]) ).
fof(f550,plain,
( null_class = intersection(sF5,cross_product(sF0,universal_class))
| ~ spl7_3 ),
inference(forward_demodulation,[],[f549,f279]) ).
fof(f553,plain,
( ! [X0] :
( ~ member(X0,cross_product(sF0,universal_class))
| member(X0,null_class)
| ~ member(X0,sF5) )
| ~ spl7_3 ),
inference(superposition,[],[f23,f550]) ).
fof(f584,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(u,u),sF2),cross_product(X0,X1))
| ~ member(z,X1)
| ~ member(u,X0) ),
inference(superposition,[],[f403,f283]) ).
fof(f586,plain,
! [X0,X1] :
( member(unordered_pair(sF0,sF2),cross_product(X0,X1))
| ~ member(z,X1)
| ~ member(u,X0) ),
inference(forward_demodulation,[],[f584,f279]) ).
fof(f588,plain,
! [X0,X1] :
( member(sF3,cross_product(X0,X1))
| ~ member(z,X1)
| ~ member(u,X0) ),
inference(forward_demodulation,[],[f586,f285]) ).
fof(f590,plain,
( ~ member(z,universal_class)
| ~ member(u,sF0)
| member(sF3,null_class)
| ~ member(sF3,sF5)
| ~ spl7_3 ),
inference(resolution,[],[f588,f553]) ).
fof(f594,plain,
( ~ member(u,sF0)
| member(sF3,null_class)
| ~ member(sF3,sF5)
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f590,f178]) ).
fof(f595,plain,
( member(sF3,null_class)
| ~ member(sF3,sF5)
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f594,f315]) ).
fof(f596,plain,
( member(sF3,null_class)
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f595,f441]) ).
fof(f604,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(u,u),sF2),cross_product(X0,X1))
| member(u,X0) ),
inference(superposition,[],[f347,f283]) ).
fof(f606,plain,
! [X0,X1] :
( ~ member(unordered_pair(sF0,sF2),cross_product(X0,X1))
| member(u,X0) ),
inference(forward_demodulation,[],[f604,f279]) ).
fof(f608,plain,
! [X0,X1] :
( ~ member(sF3,cross_product(X0,X1))
| member(u,X0) ),
inference(forward_demodulation,[],[f606,f285]) ).
fof(f616,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f675,plain,
( ! [X0] :
( member(sF3,X0)
| null_class = X0 )
| ~ spl7_3
| ~ spl7_4 ),
inference(resolution,[],[f616,f596]) ).
fof(f677,plain,
( ! [X0,X1] :
( member(u,X0)
| cross_product(X0,X1) = null_class )
| ~ spl7_3
| ~ spl7_4 ),
inference(resolution,[],[f675,f608]) ).
fof(f737,plain,
( ! [X0] : null_class = cross_product(sF6,X0)
| ~ spl7_3
| ~ spl7_4 ),
inference(resolution,[],[f677,f293]) ).
fof(f869,plain,
( ~ member(sF3,null_class)
| member(u,sF6)
| ~ spl7_3
| ~ spl7_4 ),
inference(superposition,[],[f608,f737]) ).
fof(f872,plain,
( member(u,sF6)
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f869,f596]) ).
fof(f876,plain,
( $false
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f872,f293]) ).
fof(f877,plain,
( ~ spl7_3
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f876]) ).
cnf(s2,plain,
( ~ spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f316]) ).
cnf(s13,plain,
spl7_3,
inference(sat_conversion,[],[f512]) ).
cnf(s47,plain,
( ~ spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f877]) ).
cnf(s53,plain,
~ spl7_4,
inference(rat,[],[s47,s13]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s53,s13]) ).
fof(f893,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM061-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 18:45:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.44/2.01 % (3337887)Input is clausal, will run a generic CNF schedule.
% 6.44/2.01 % (3337898)dis-21_1_sil=8000:lcm=predicate:random_seed=3286649746: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)
% 6.44/2.01 % (3337898)Instruction limit reached!
% 6.44/2.01 % (3337898)------------------------------
% 6.44/2.01 % (3337898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337898)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337898)Termination reason: Instruction limit
% 6.44/2.01 % (3337898)Termination phase: Saturation
% 6.44/2.01 % (3337898)Time elapsed: 0.036 s
% 6.44/2.01 % (3337898)Peak memory usage: 89 MB
% 6.44/2.01 % (3337898)Instructions burned: 120 (million)
% 6.44/2.01 % (3337896)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2580555307:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.44/2.01 % (3337893)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3518879629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.44/2.01 % (3337892)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=3712772771:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.44/2.01 % (3337895)lrs+10_1_sil=8000:sp=occurrence:random_seed=2401955646:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.44/2.01 % (3337894)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1969752704:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.44/2.01 % (3337897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=137673886:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.44/2.01 % (3337895)Instruction limit reached!
% 6.44/2.01 % (3337895)------------------------------
% 6.44/2.01 % (3337895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337895)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337895)Termination reason: Instruction limit
% 6.44/2.01 % (3337895)Termination phase: Saturation
% 6.44/2.01 % (3337895)Time elapsed: 0.059 s
% 6.44/2.01 % (3337895)Peak memory usage: 90 MB
% 6.44/2.01 % (3337895)Instructions burned: 108 (million)
% 6.44/2.01 % (3337896)Instruction limit reached!
% 6.44/2.01 % (3337896)------------------------------
% 6.44/2.01 % (3337896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337896)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337896)Termination reason: Instruction limit
% 6.44/2.01 % (3337896)Termination phase: Saturation
% 6.44/2.01 % (3337896)Time elapsed: 0.072 s
% 6.44/2.01 % (3337896)Peak memory usage: 89 MB
% 6.44/2.01 % (3337896)Instructions burned: 116 (million)
% 6.44/2.01 % (3337900)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=3630869742:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.44/2.01 % (3337900)Instruction limit reached!
% 6.44/2.01 % (3337900)------------------------------
% 6.44/2.01 % (3337900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337900)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337900)Termination reason: Instruction limit
% 6.44/2.01 % (3337900)Termination phase: Saturation
% 6.44/2.01 % (3337900)Time elapsed: 0.029 s
% 6.44/2.01 % (3337900)Peak memory usage: 88 MB
% 6.44/2.01 % (3337900)Instructions burned: 147 (million)
% 6.44/2.01 % (3337897)Instruction limit reached!
% 6.44/2.01 % (3337897)------------------------------
% 6.44/2.01 % (3337897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337897)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337897)Termination reason: Instruction limit
% 6.44/2.01 % (3337897)Termination phase: Saturation
% 6.44/2.01 % (3337897)Time elapsed: 0.135 s
% 6.44/2.01 % (3337897)Peak memory usage: 90 MB
% 6.44/2.01 % (3337897)Instructions burned: 180 (million)
% 6.44/2.01 % (3337907)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=407414369: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)
% 6.44/2.01 % (3337908)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1649856043:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.44/2.01 % (3337910)lrs+10_64_to=lpo:sil=8000:random_seed=1539208886:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.44/2.01 % (3337910)Instruction limit reached!
% 6.44/2.01 % (3337910)------------------------------
% 6.44/2.01 % (3337910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337910)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337910)Termination reason: Instruction limit
% 6.44/2.01 % (3337910)Termination phase: Saturation
% 6.44/2.01 % (3337910)Time elapsed: 0.044 s
% 6.44/2.01 % (3337910)Peak memory usage: 89 MB
% 6.44/2.01 % (3337910)Instructions burned: 129 (million)
% 6.44/2.01 % (3337911)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1603254189:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.44/2.01 % (3337907)Instruction limit reached!
% 6.44/2.01 % (3337907)------------------------------
% 6.44/2.01 % (3337907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337907)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337907)Termination reason: Instruction limit
% 6.44/2.01 % (3337907)Termination phase: Saturation
% 6.44/2.01 % (3337907)Time elapsed: 0.090 s
% 6.44/2.01 % (3337907)Peak memory usage: 89 MB
% 6.44/2.01 % (3337907)Instructions burned: 190 (million)
% 6.44/2.01 % (3337915)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2666180142:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.44/2.01 % (3337908)Instruction limit reached!
% 6.44/2.01 % (3337908)------------------------------
% 6.44/2.01 % (3337908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337908)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337908)Termination reason: Instruction limit
% 6.44/2.01 % (3337908)Termination phase: Saturation
% 6.44/2.01 % (3337908)Time elapsed: 0.136 s
% 6.44/2.01 % (3337908)Peak memory usage: 89 MB
% 6.44/2.01 % (3337908)Instructions burned: 219 (million)
% 6.44/2.01 % (3337911)Instruction limit reached!
% 6.44/2.01 % (3337911)------------------------------
% 6.44/2.01 % (3337911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337911)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337911)Termination reason: Instruction limit
% 6.44/2.01 % (3337911)Termination phase: Saturation
% 6.44/2.01 % (3337911)Time elapsed: 0.092 s
% 6.44/2.01 % (3337911)Peak memory usage: 89 MB
% 6.44/2.01 % (3337911)Instructions burned: 194 (million)
% 6.44/2.01 % (3337915)Instruction limit reached!
% 6.44/2.01 % (3337915)------------------------------
% 6.44/2.01 % (3337915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337915)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337915)Termination reason: Instruction limit
% 6.44/2.01 % (3337915)Termination phase: Saturation
% 6.44/2.01 % (3337915)Time elapsed: 0.059 s
% 6.44/2.01 % (3337915)Peak memory usage: 91 MB
% 6.44/2.01 % (3337915)Instructions burned: 157 (million)
% 6.44/2.01 % (3337917)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2256390702:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.44/2.01 % (3337919)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=3322731316:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.44/2.01 % (3337921)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=750600949:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.44/2.01 % (3337920)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2908762570:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.44/2.01 % (3337919)Instruction limit reached!
% 6.44/2.01 % (3337919)------------------------------
% 6.44/2.01 % (3337919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337919)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337919)Termination reason: Instruction limit
% 6.44/2.01 % (3337919)Termination phase: Saturation
% 6.44/2.01 % (3337919)Time elapsed: 0.062 s
% 6.44/2.01 % (3337919)Peak memory usage: 89 MB
% 6.44/2.01 % (3337919)Instructions burned: 107 (million)
% 6.44/2.01 % (3337921)Instruction limit reached!
% 6.44/2.01 % (3337921)------------------------------
% 6.44/2.01 % (3337921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337921)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337921)Termination reason: Instruction limit
% 6.44/2.01 % (3337921)Termination phase: Saturation
% 6.44/2.01 % (3337921)Time elapsed: 0.086 s
% 6.44/2.01 % (3337921)Peak memory usage: 90 MB
% 6.44/2.01 % (3337921)Instructions burned: 243 (million)
% 6.44/2.01 % (3337920)Instruction limit reached!
% 6.44/2.01 % (3337920)------------------------------
% 6.44/2.01 % (3337920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337920)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337920)Termination reason: Instruction limit
% 6.44/2.01 % (3337920)Termination phase: Saturation
% 6.44/2.01 % (3337920)Time elapsed: 0.073 s
% 6.44/2.01 % (3337920)Peak memory usage: 89 MB
% 6.44/2.01 % (3337920)Instructions burned: 107 (million)
% 6.44/2.01 % (3337927)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1619313447:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.44/2.01 % (3337926)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=435727483:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.44/2.01 % (3337927)Refutation not found, incomplete strategy
% 6.44/2.01 % (3337927)------------------------------
% 6.44/2.01 % (3337927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337927)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337927)Termination reason: Refutation not found, incomplete strategy
% 6.44/2.01 % (3337927)Time elapsed: 0.009 s
% 6.44/2.01 % (3337927)Peak memory usage: 89 MB
% 6.44/2.01 % (3337927)Instructions burned: 22 (million)
% 6.44/2.01 % (3337928)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1188168398:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.44/2.01 % (3337892)First to succeed.
% 6.44/2.01 % (3337892)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3337887"
% 6.44/2.01 % (3337927)------------------------------
% 6.44/2.01 % (3337927)------------------------------
% 6.44/2.01 % (3337932)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4034983819:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.44/2.01 % (3337932)Instruction limit reached!
% 6.44/2.01 % (3337932)------------------------------
% 6.44/2.01 % (3337932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337932)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337932)Termination reason: Instruction limit
% 6.44/2.01 % (3337932)Termination phase: Saturation
% 6.44/2.01 % (3337932)Time elapsed: 0.064 s
% 6.44/2.01 % (3337932)Peak memory usage: 90 MB
% 6.44/2.01 % (3337932)Instructions burned: 194 (million)
% 6.44/2.01 % (3337928)Instruction limit reached!
% 6.44/2.01 % (3337928)------------------------------
% 6.44/2.01 % (3337928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.01 % (3337928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.01 % (3337928)CaDiCaL version: 2.1.3
% 6.44/2.01 % (3337928)Termination reason: Instruction limit
% 6.44/2.01 % (3337928)Termination phase: Saturation
% 6.44/2.01 % (3337928)Time elapsed: 0.276 s
% 6.44/2.01 % (3337928)Peak memory usage: 94 MB
% 6.44/2.01 % (3337928)Instructions burned: 500 (million)
% 6.44/2.01 % (3337892)Refutation found. Thanks to Tanya!
% 6.44/2.01 % SZS status Unsatisfiable for theBenchmark
% 6.44/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 8.78/2.20 % (3337892)------------------------------
% 8.78/2.20 % (3337892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.20 % (3337892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.20 % (3337892)CaDiCaL version: 2.1.3
% 8.78/2.20 % (3337892)Termination reason: Refutation
% 8.78/2.20 % (3337892)Time elapsed: 0.733 s
% 8.78/2.20 % (3337892)Peak memory usage: 130 MB
% 8.78/2.20 % (3337892)Instructions burned: 1064 (million)
% 8.78/2.20 % (3337892)------------------------------
% 8.78/2.20 % (3337892)------------------------------
% 8.78/2.20 % (3337887)Success in time 1.158 s
% 8.78/2.20 % Vampire exiting
%------------------------------------------------------------------------------