%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET346-6 : 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 : n007.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 12:40:48 PM UTC 2026
% Result : Unsatisfiable 8.20s 2.09s
% Output : Refutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 83 ( 28 unt; 5 def)
% Number of atoms : 218 ( 25 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 272 ( 137 ~; 133 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(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(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
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(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).
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(z,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_class_alternate_defn3_1) ).
fof(f123,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_class_alternate_defn3_2) ).
fof(f124,negated_conjecture,
~ member(z,sum_class(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_class_alternate_defn3_3) ).
fof(f125,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
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(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(f143,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f129,f129]) ).
fof(f146,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f187,plain,
~ member(z,domain_of(intersection(element_relation,cross_product(universal_class,x)))),
inference(definition_unfolding,[],[f124,f125]) ).
fof(f192,definition,
sF0 = cross_product(universal_class,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f193,plain,
cross_product(universal_class,x) = sF0,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF1 = intersection(element_relation,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f195,plain,
intersection(element_relation,sF0) = sF1,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f196]) ).
fof(f198,plain,
~ member(z,sF2),
inference(definition_folding,[],[f187,f197,f195,f193]) ).
fof(f211,definition,
( spl3_2
<=> member(z,universal_class) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f212,plain,
( member(z,universal_class)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( ~ member(z,universal_class)
| spl3_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f239,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF0)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f195]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f146]) ).
fof(f259,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f299,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,x)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f140,f193]) ).
fof(f300,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f259,f3]) ).
fof(f308,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f700,definition,
( spl3_24
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f701,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f720,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f308,f70]) ).
fof(f721,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f720,f7]) ).
fof(f722,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f721]) ).
fof(f723,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f722,f308]) ).
fof(f927,plain,
( ! [X0] :
( ~ member(z,X0)
| ~ subclass(X0,universal_class) )
| spl3_2 ),
inference(resolution,[],[f213,f1]) ).
fof(f928,plain,
( ! [X0] : ~ member(z,X0)
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f927,f4]) ).
fof(f929,plain,
( $false
| spl3_2 ),
inference(resolution,[],[f928,f122]) ).
fof(f935,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f1104,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f723]) ).
fof(f1332,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1104,f24]) ).
fof(f1343,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1332,f1104]) ).
fof(f1344,plain,
spl3_24,
inference(avatar_split_clause,[],[f1343,f700]) ).
fof(f1470,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f143,f140]) ).
fof(f1552,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f240,f140]) ).
fof(f1559,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) )
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f1552,f701]) ).
fof(f1577,plain,
( ! [X2,X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF1))
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),element_relation) )
| ~ spl3_24 ),
inference(resolution,[],[f1559,f239]) ).
fof(f1580,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF0)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF2)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),element_relation) )
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1577,f197]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF2)
| ~ member(X0,universal_class)
| ~ member(X1,x)
| ~ member(X2,universal_class) )
| ~ spl3_24 ),
inference(resolution,[],[f1580,f299]) ).
fof(f1608,plain,
( ! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X2,X2))
| member(X2,sF2)
| ~ member(X2,universal_class)
| ~ member(X0,x)
| ~ member(X1,universal_class)
| ~ member(X1,X0)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class) )
| ~ spl3_24 ),
inference(resolution,[],[f1595,f1470]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X2))
| ~ member(X0,universal_class)
| member(X2,sF2)
| ~ member(X2,universal_class)
| ~ member(X0,x)
| ~ member(X1,universal_class)
| ~ member(X1,X0) )
| ~ spl3_24 ),
inference(duplicate_literal_removal,[],[f1608]) ).
fof(f1624,plain,
( ! [X0,X1] :
( ~ member(X0,universal_class)
| member(X1,sF2)
| ~ member(X1,universal_class)
| ~ member(X0,x)
| ~ member(X1,universal_class)
| ~ member(X1,X0)
| ~ member(X1,universal_class) )
| ~ spl3_24 ),
inference(resolution,[],[f1614,f10]) ).
fof(f1634,plain,
( ! [X0,X1] :
( member(X1,sF2)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(X0,x)
| ~ member(X1,X0) )
| ~ spl3_24 ),
inference(duplicate_literal_removal,[],[f1624]) ).
fof(f1646,plain,
( ! [X0] :
( ~ member(X0,universal_class)
| ~ member(z,universal_class)
| ~ member(X0,x)
| ~ member(z,X0) )
| ~ spl3_24 ),
inference(resolution,[],[f1634,f198]) ).
fof(f1649,plain,
( ! [X0] :
( ~ member(z,X0)
| ~ member(X0,x)
| ~ member(X0,universal_class) )
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f1646,f212]) ).
fof(f1675,plain,
( ~ member(y,x)
| ~ member(y,universal_class)
| ~ spl3_2
| ~ spl3_24 ),
inference(resolution,[],[f1649,f122]) ).
fof(f1700,plain,
( ~ member(y,universal_class)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f1675,f123]) ).
fof(f1705,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| ~ spl3_2
| ~ spl3_24 ),
inference(resolution,[],[f1700,f1]) ).
fof(f1706,plain,
( ! [X0] : ~ member(y,X0)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f1705,f4]) ).
fof(f1707,plain,
( $false
| ~ spl3_2
| ~ spl3_24 ),
inference(resolution,[],[f1706,f123]) ).
fof(f1719,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
cnf(s16,plain,
spl3_2,
inference(sat_conversion,[],[f935]) ).
cnf(s31,plain,
spl3_24,
inference(sat_conversion,[],[f1344]) ).
cnf(s44,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s45,plain,
~ spl3_2,
inference(rat,[],[s44,s31]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s16,s45]) ).
fof(f1720,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET346-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 01:27:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 8.20/2.09 % (1944495)Input is clausal, will run a generic CNF schedule.
% 8.20/2.09 % (1944500)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=3151514143:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.20/2.09 % (1944501)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=262862334:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.20/2.09 % (1944505)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1512627927:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.20/2.09 % (1944503)lrs+10_1_sil=8000:sp=occurrence:random_seed=628605293:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.20/2.09 % (1944504)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1633920632:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.20/2.09 % (1944502)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2461073148:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.20/2.09 % (1944506)dis-21_1_sil=8000:lcm=predicate:random_seed=3675330107: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)
% 8.20/2.09 % (1944504)Instruction limit reached!
% 8.20/2.09 % (1944504)------------------------------
% 8.20/2.09 % (1944504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944504)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944504)Termination reason: Instruction limit
% 8.20/2.09 % (1944504)Termination phase: Saturation
% 8.20/2.09 % (1944504)Time elapsed: 0.069 s
% 8.20/2.09 % (1944504)Peak memory usage: 89 MB
% 8.20/2.09 % (1944504)Instructions burned: 114 (million)
% 8.20/2.09 % (1944503)Instruction limit reached!
% 8.20/2.09 % (1944503)------------------------------
% 8.20/2.09 % (1944503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944503)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944503)Termination reason: Instruction limit
% 8.20/2.09 % (1944503)Termination phase: Saturation
% 8.20/2.09 % (1944503)Time elapsed: 0.072 s
% 8.20/2.09 % (1944503)Peak memory usage: 90 MB
% 8.20/2.09 % (1944503)Instructions burned: 107 (million)
% 8.20/2.09 % (1944506)Instruction limit reached!
% 8.20/2.09 % (1944506)------------------------------
% 8.20/2.09 % (1944506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944506)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944506)Termination reason: Instruction limit
% 8.20/2.09 % (1944506)Termination phase: Saturation
% 8.20/2.09 % (1944506)Time elapsed: 0.066 s
% 8.20/2.09 % (1944506)Peak memory usage: 89 MB
% 8.20/2.09 % (1944506)Instructions burned: 117 (million)
% 8.20/2.09 % (1944505)Instruction limit reached!
% 8.20/2.09 % (1944505)------------------------------
% 8.20/2.09 % (1944505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944505)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944505)Termination reason: Instruction limit
% 8.20/2.09 % (1944505)Termination phase: Saturation
% 8.20/2.09 % (1944505)Time elapsed: 0.146 s
% 8.20/2.09 % (1944505)Peak memory usage: 90 MB
% 8.20/2.09 % (1944505)Instructions burned: 181 (million)
% 8.20/2.09 % (1944516)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2584680215:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.20/2.09 % (1944515)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=319490054: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)
% 8.20/2.09 % (1944514)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=1024722980:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.20/2.09 % (1944514)Refutation not found, incomplete strategy
% 8.20/2.09 % (1944514)------------------------------
% 8.20/2.09 % (1944514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944514)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944514)Termination reason: Refutation not found, incomplete strategy
% 8.20/2.09 % (1944514)Time elapsed: 0.002 s
% 8.20/2.09 % (1944514)Peak memory usage: 88 MB
% 8.20/2.09 % (1944514)Instructions burned: 1 (million)
% 8.20/2.09 % (1944516)Refutation not found, incomplete strategy
% 8.20/2.09 % (1944516)------------------------------
% 8.20/2.09 % (1944516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944516)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944516)Termination reason: Refutation not found, incomplete strategy
% 8.20/2.09 % (1944516)Time elapsed: 0.004 s
% 8.20/2.09 % (1944516)Peak memory usage: 88 MB
% 8.20/2.09 % (1944516)Instructions burned: 4 (million)
% 8.20/2.09 % (1944517)lrs+10_64_to=lpo:sil=8000:random_seed=1755211933:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.20/2.09 % (1944515)Instruction limit reached!
% 8.20/2.09 % (1944515)------------------------------
% 8.20/2.09 % (1944515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944515)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944515)Termination reason: Instruction limit
% 8.20/2.09 % (1944515)Termination phase: Saturation
% 8.20/2.09 % (1944515)Time elapsed: 0.094 s
% 8.20/2.09 % (1944515)Peak memory usage: 90 MB
% 8.20/2.09 % (1944515)Instructions burned: 189 (million)
% 8.20/2.09 % (1944517)Instruction limit reached!
% 8.20/2.09 % (1944517)------------------------------
% 8.20/2.09 % (1944517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944517)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944517)Termination reason: Instruction limit
% 8.20/2.09 % (1944517)Termination phase: Saturation
% 8.20/2.09 % (1944517)Time elapsed: 0.079 s
% 8.20/2.09 % (1944517)Peak memory usage: 90 MB
% 8.20/2.09 % (1944517)Instructions burned: 126 (million)
% 8.20/2.09 % (1944516)------------------------------
% 8.20/2.09 % (1944516)------------------------------
% 8.20/2.09 % (1944522)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2413573174:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.20/2.09 % (1944514)------------------------------
% 8.20/2.09 % (1944514)------------------------------
% 8.20/2.09 % (1944524)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=872492945:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.20/2.09 % (1944523)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=28505158:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.20/2.09 % (1944522)Instruction limit reached!
% 8.20/2.09 % (1944522)------------------------------
% 8.20/2.09 % (1944522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944522)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944522)Termination reason: Instruction limit
% 8.20/2.09 % (1944522)Termination phase: Saturation
% 8.20/2.09 % (1944522)Time elapsed: 0.129 s
% 8.20/2.09 % (1944522)Peak memory usage: 90 MB
% 8.20/2.09 % (1944522)Instructions burned: 195 (million)
% 8.20/2.09 % (1944526)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=4245483565:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.20/2.09 % (1944523)Instruction limit reached!
% 8.20/2.09 % (1944523)------------------------------
% 8.20/2.09 % (1944523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944523)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944523)Termination reason: Instruction limit
% 8.20/2.09 % (1944523)Termination phase: Saturation
% 8.20/2.09 % (1944523)Time elapsed: 0.109 s
% 8.20/2.09 % (1944523)Peak memory usage: 91 MB
% 8.20/2.09 % (1944523)Instructions burned: 157 (million)
% 8.20/2.09 % (1944526)Instruction limit reached!
% 8.20/2.09 % (1944526)------------------------------
% 8.20/2.09 % (1944526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944526)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944526)Termination reason: Instruction limit
% 8.20/2.09 % (1944526)Termination phase: Saturation
% 8.20/2.09 % (1944526)Time elapsed: 0.066 s
% 8.20/2.09 % (1944526)Peak memory usage: 89 MB
% 8.20/2.09 % (1944526)Instructions burned: 106 (million)
% 8.20/2.09 % (1944529)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4239954905:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.20/2.09 % (1944531)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1135987191:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.20/2.09 % (1944529)Instruction limit reached!
% 8.20/2.09 % (1944529)------------------------------
% 8.20/2.09 % (1944529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944529)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944529)Termination reason: Instruction limit
% 8.20/2.09 % (1944529)Termination phase: Saturation
% 8.20/2.09 % (1944529)Time elapsed: 0.075 s
% 8.20/2.09 % (1944529)Peak memory usage: 89 MB
% 8.20/2.09 % (1944529)Instructions burned: 108 (million)
% 8.20/2.09 % (1944532)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1900816995:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.20/2.09 % (1944502)First to succeed.
% 8.20/2.09 % (1944502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1944495"
% 8.20/2.09 % (1944535)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=842865993:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.20/2.09 % (1944524)Also succeeded, but the first one will report.
% 8.20/2.09 % (1944531)Instruction limit reached!
% 8.20/2.09 % (1944531)------------------------------
% 8.20/2.09 % (1944531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944531)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944531)Termination reason: Instruction limit
% 8.20/2.09 % (1944531)Termination phase: Saturation
% 8.20/2.09 % (1944531)Time elapsed: 0.161 s
% 8.20/2.09 % (1944531)Peak memory usage: 90 MB
% 8.20/2.09 % (1944531)Instructions burned: 243 (million)
% 8.20/2.09 % (1944500)Also succeeded, but the first one will report.
% 8.20/2.09 % (1944535)Instruction limit reached!
% 8.20/2.09 % (1944535)------------------------------
% 8.20/2.09 % (1944535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.09 % (1944535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.09 % (1944535)CaDiCaL version: 2.1.3
% 8.20/2.09 % (1944535)Termination reason: Instruction limit
% 8.20/2.09 % (1944535)Termination phase: Saturation
% 8.20/2.09 % (1944535)Time elapsed: 0.072 s
% 8.20/2.09 % (1944535)Peak memory usage: 89 MB
% 8.20/2.09 % (1944535)Instructions burned: 134 (million)
% 8.20/2.09 % (1944538)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2689523072:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.20/2.09 % (1944502)Refutation found. Thanks to Tanya!
% 8.20/2.09 % SZS status Unsatisfiable for theBenchmark
% 8.20/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.35/2.24 % (1944502)------------------------------
% 9.35/2.24 % (1944502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (1944502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (1944502)CaDiCaL version: 2.1.3
% 9.35/2.24 % (1944502)Termination reason: Refutation
% 9.35/2.24 % (1944502)Time elapsed: 0.839 s
% 9.35/2.24 % (1944502)Peak memory usage: 132 MB
% 9.35/2.24 % (1944502)Instructions burned: 1269 (million)
% 9.35/2.24 % (1944502)------------------------------
% 9.35/2.24 % (1944502)------------------------------
% 9.35/2.24 % (1944495)Success in time 1.252 s
% 9.35/2.24 % Vampire exiting
%------------------------------------------------------------------------------