%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET380-6 : 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 : 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 12:40:53 PM UTC 2026
% Result : Unsatisfiable 3.39s 1.61s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 86 ( 26 unt; 9 def)
% Number of atoms : 162 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 144 ( 68 ~; 70 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
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(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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(f122,negated_conjecture,
~ subclass(restrict(xf,x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relation_property1_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(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(f138,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,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f185,plain,
~ subclass(intersection(xf,cross_product(x,y)),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f122,f28]) ).
fof(f190,definition,
sF0 = cross_product(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x,y) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = intersection(xf,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
intersection(xf,sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
cross_product(universal_class,universal_class) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,plain,
~ subclass(sF1,sF2),
inference(definition_folding,[],[f185,f195,f193,f191]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF0) ),
inference(superposition,[],[f22,f193]) ).
fof(f206,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),sF0)
| subclass(sF1,X0) ),
inference(resolution,[],[f202,f2]) ).
fof(f207,plain,
( subclass(sF1,sF0)
| subclass(sF1,sF0) ),
inference(resolution,[],[f206,f3]) ).
fof(f208,plain,
subclass(sF1,sF0),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f209,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,x) ),
inference(superposition,[],[f136,f191]) ).
fof(f211,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,y) ),
inference(superposition,[],[f137,f191]) ).
fof(f213,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,sF0)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f139,f191]) ).
fof(f245,plain,
! [X0] :
( subclass(sF1,X0)
| not_subclass_element(sF1,X0) = unordered_pair(unordered_pair(first(not_subclass_element(sF1,X0)),first(not_subclass_element(sF1,X0))),unordered_pair(first(not_subclass_element(sF1,X0)),unordered_pair(second(not_subclass_element(sF1,X0)),second(not_subclass_element(sF1,X0))))) ),
inference(resolution,[],[f233,f206]) ).
fof(f248,plain,
not_subclass_element(sF1,sF2) = unordered_pair(unordered_pair(first(not_subclass_element(sF1,sF2)),first(not_subclass_element(sF1,sF2))),unordered_pair(first(not_subclass_element(sF1,sF2)),unordered_pair(second(not_subclass_element(sF1,sF2)),second(not_subclass_element(sF1,sF2))))),
inference(resolution,[],[f245,f196]) ).
fof(f249,plain,
! [X0,X1] :
( member(not_subclass_element(sF1,sF2),cross_product(X0,X1))
| ~ member(second(not_subclass_element(sF1,sF2)),X1)
| ~ member(first(not_subclass_element(sF1,sF2)),X0) ),
inference(superposition,[],[f138,f248]) ).
fof(f250,plain,
( ~ member(not_subclass_element(sF1,sF2),sF0)
| member(first(not_subclass_element(sF1,sF2)),x) ),
inference(superposition,[],[f209,f248]) ).
fof(f251,plain,
( ~ member(not_subclass_element(sF1,sF2),sF0)
| member(second(not_subclass_element(sF1,sF2)),y) ),
inference(superposition,[],[f211,f248]) ).
fof(f255,definition,
( spl3_1
<=> member(second(not_subclass_element(sF1,sF2)),y) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f257,plain,
( member(second(not_subclass_element(sF1,sF2)),y)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl3_2
<=> member(not_subclass_element(sF1,sF2),sF0) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f261,plain,
( ~ member(not_subclass_element(sF1,sF2),sF0)
| spl3_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f251,f259,f255]) ).
fof(f264,definition,
( spl3_3
<=> member(first(not_subclass_element(sF1,sF2)),x) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f266,plain,
( member(first(not_subclass_element(sF1,sF2)),x)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f250,f259,f264]) ).
fof(f272,definition,
( spl3_4
<=> member(first(not_subclass_element(sF1,sF2)),universal_class) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f273,plain,
( ~ member(first(not_subclass_element(sF1,sF2)),universal_class)
| spl3_4 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl3_5
<=> member(not_subclass_element(sF1,sF2),sF2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f277,plain,
( member(not_subclass_element(sF1,sF2),sF2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f278,plain,
( ~ member(not_subclass_element(sF1,sF2),sF2)
| spl3_5 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f283,plain,
( ~ subclass(sF1,sF0)
| subclass(sF1,sF2)
| spl3_2 ),
inference(resolution,[],[f261,f213]) ).
fof(f284,plain,
( subclass(sF1,sF2)
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f283,f208]) ).
fof(f287,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f284,f196]) ).
fof(f288,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f316,plain,
( ! [X0] :
( member(first(not_subclass_element(sF1,sF2)),X0)
| ~ subclass(x,X0) )
| ~ spl3_3 ),
inference(resolution,[],[f266,f1]) ).
fof(f317,plain,
( ! [X0] :
( member(second(not_subclass_element(sF1,sF2)),X0)
| ~ subclass(y,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f257,f1]) ).
fof(f323,plain,
( member(not_subclass_element(sF1,sF2),sF2)
| ~ member(second(not_subclass_element(sF1,sF2)),universal_class)
| ~ member(first(not_subclass_element(sF1,sF2)),universal_class) ),
inference(superposition,[],[f249,f195]) ).
fof(f324,plain,
( ~ member(second(not_subclass_element(sF1,sF2)),universal_class)
| ~ member(first(not_subclass_element(sF1,sF2)),universal_class)
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f323,f278]) ).
fof(f326,definition,
( spl3_8
<=> member(second(not_subclass_element(sF1,sF2)),universal_class) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f328,plain,
( ~ member(second(not_subclass_element(sF1,sF2)),universal_class)
| spl3_8 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( ~ spl3_4
| ~ spl3_8
| spl3_5 ),
inference(avatar_split_clause,[],[f324,f276,f326,f272]) ).
fof(f330,plain,
( ~ subclass(x,universal_class)
| ~ spl3_3
| spl3_4 ),
inference(resolution,[],[f316,f273]) ).
fof(f377,plain,
( $false
| ~ spl3_3
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f330,f4]) ).
fof(f378,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f383,plain,
( ~ subclass(y,universal_class)
| ~ spl3_1
| spl3_8 ),
inference(resolution,[],[f317,f328]) ).
fof(f430,plain,
( $false
| ~ spl3_1
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f383,f4]) ).
fof(f431,plain,
( ~ spl3_1
| spl3_8 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f432,plain,
( subclass(sF1,sF2)
| ~ spl3_5 ),
inference(resolution,[],[f277,f3]) ).
fof(f435,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f432,f196]) ).
fof(f436,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f435]) ).
cnf(s1,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s2,plain,
( ~ spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f267]) ).
cnf(s5,plain,
spl3_2,
inference(sat_conversion,[],[f288]) ).
cnf(s9,plain,
( ~ spl3_4
| spl3_5
| ~ spl3_8 ),
inference(sat_conversion,[],[f329]) ).
cnf(s16,plain,
( ~ spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f378]) ).
cnf(s23,plain,
( ~ spl3_1
| spl3_8 ),
inference(sat_conversion,[],[f431]) ).
cnf(s24,plain,
~ spl3_5,
inference(sat_conversion,[],[f436]) ).
cnf(s25,plain,
( ~ spl3_4
| ~ spl3_8 ),
inference(rat,[],[s9,s24]) ).
cnf(s28,plain,
spl3_3,
inference(rat,[],[s2,s5]) ).
cnf(s29,plain,
spl3_4,
inference(rat,[],[s16,s28]) ).
cnf(s30,plain,
~ spl3_8,
inference(rat,[],[s25,s29]) ).
cnf(s31,plain,
~ spl3_1,
inference(rat,[],[s23,s30]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s5,s31]) ).
fof(f437,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET380-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 % Computer : n013.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Mon Sep 28 01:37:52 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 3.39/1.61 % (728792)Input is clausal, will run a generic CNF schedule.
% 3.39/1.61 % (728797)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=510791409:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.61 % (728799)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1038086186:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.61 % (728801)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3641890141:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.61 % (728800)lrs+10_1_sil=8000:sp=occurrence:random_seed=4268144565:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.61 % (728798)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1955285792:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.61 % (728800)Refutation not found, incomplete strategy
% 3.39/1.61 % (728800)------------------------------
% 3.39/1.61 % (728800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728800)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728800)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.61 % (728800)Time elapsed: 0.003 s
% 3.39/1.61 % (728800)Peak memory usage: 88 MB
% 3.39/1.61 % (728800)Instructions burned: 2 (million)
% 3.39/1.61 % (728802)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1767076880:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.61 % (728803)dis-21_1_sil=8000:lcm=predicate:random_seed=2341101090: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)
% 3.39/1.61 % (728801)Instruction limit reached!
% 3.39/1.61 % (728801)------------------------------
% 3.39/1.61 % (728801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728801)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728801)Termination reason: Instruction limit
% 3.39/1.61 % (728801)Termination phase: Saturation
% 3.39/1.61 % (728801)Time elapsed: 0.066 s
% 3.39/1.61 % (728801)Peak memory usage: 88 MB
% 3.39/1.61 % (728801)Instructions burned: 114 (million)
% 3.39/1.61 % (728803)Instruction limit reached!
% 3.39/1.61 % (728803)------------------------------
% 3.39/1.61 % (728803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728803)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728803)Termination reason: Instruction limit
% 3.39/1.61 % (728803)Termination phase: Saturation
% 3.39/1.61 % (728803)Time elapsed: 0.071 s
% 3.39/1.61 % (728803)Peak memory usage: 89 MB
% 3.39/1.61 % (728803)Instructions burned: 118 (million)
% 3.39/1.61 % (728802)Instruction limit reached!
% 3.39/1.61 % (728802)------------------------------
% 3.39/1.61 % (728802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728802)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728802)Termination reason: Instruction limit
% 3.39/1.61 % (728802)Termination phase: Saturation
% 3.39/1.61 % (728802)Time elapsed: 0.135 s
% 3.39/1.61 % (728802)Peak memory usage: 90 MB
% 3.39/1.61 % (728802)Instructions burned: 180 (million)
% 3.39/1.61 % (728811)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=357573593:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.39/1.61 % (728811)Refutation not found, incomplete strategy
% 3.39/1.61 % (728811)------------------------------
% 3.39/1.61 % (728811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728811)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728811)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.61 % (728811)Time elapsed: 0.003 s
% 3.39/1.61 % (728811)Peak memory usage: 88 MB
% 3.39/1.61 % (728811)Instructions burned: 2 (million)
% 3.39/1.61 % (728800)------------------------------
% 3.39/1.61 % (728800)------------------------------
% 3.39/1.61 % (728812)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=335409006: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)
% 3.39/1.61 % (728813)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2711205072:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.39/1.61 % (728813)Refutation not found, incomplete strategy
% 3.39/1.61 % (728813)------------------------------
% 3.39/1.61 % (728813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728813)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728813)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.61 % (728813)Time elapsed: 0.003 s
% 3.39/1.61 % (728813)Peak memory usage: 88 MB
% 3.39/1.61 % (728813)Instructions burned: 3 (million)
% 3.39/1.61 % (728812)Instruction limit reached!
% 3.39/1.61 % (728812)------------------------------
% 3.39/1.61 % (728812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728812)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728812)Termination reason: Instruction limit
% 3.39/1.61 % (728812)Termination phase: Saturation
% 3.39/1.61 % (728812)Time elapsed: 0.105 s
% 3.39/1.61 % (728812)Peak memory usage: 91 MB
% 3.39/1.61 % (728812)Instructions burned: 189 (million)
% 3.39/1.61 % (728797)First to succeed.
% 3.39/1.61 % (728797)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-728792"
% 3.39/1.61 % (728816)lrs+10_64_to=lpo:sil=8000:random_seed=2571444007:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 3.39/1.61 % (728811)------------------------------
% 3.39/1.61 % (728811)------------------------------
% 3.39/1.61 % (728816)Instruction limit reached!
% 3.39/1.61 % (728816)------------------------------
% 3.39/1.61 % (728816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.61 % (728816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.61 % (728816)CaDiCaL version: 2.1.3
% 3.39/1.61 % (728816)Termination reason: Instruction limit
% 3.39/1.61 % (728816)Termination phase: Saturation
% 3.39/1.61 % (728816)Time elapsed: 0.078 s
% 3.39/1.61 % (728816)Peak memory usage: 89 MB
% 3.39/1.61 % (728816)Instructions burned: 126 (million)
% 3.39/1.61 % (728797)Refutation found. Thanks to Tanya!
% 3.39/1.61 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.81 % (728797)------------------------------
% 0.18/1.81 % (728797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (728797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (728797)CaDiCaL version: 2.1.3
% 0.18/1.81 % (728797)Termination reason: Refutation
% 0.18/1.81 % (728797)Time elapsed: 0.414 s
% 0.18/1.81 % (728797)Peak memory usage: 131 MB
% 0.18/1.81 % (728797)Instructions burned: 1012 (million)
% 0.18/1.81 % (728797)------------------------------
% 0.18/1.81 % (728797)------------------------------
% 0.18/1.81 % (728792)Success in time 0.704 s
% 0.18/1.81 % Vampire exiting
%------------------------------------------------------------------------------