%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET217-6 : 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 : n010.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 12:40:32 PM UTC 2026
% Result : Unsatisfiable 5.23s 1.65s
% Output : Refutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 61 ( 19 unt; 6 def)
% Number of atoms : 113 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 50 ~; 49 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 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(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(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f122,negated_conjecture,
~ subclass(cross_product(x,intersection(y,z)),cross_product(x,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_8_to_X_product_monotonicity_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(f189,definition,
sF0 = intersection(y,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f190,plain,
intersection(y,z) = sF0,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF1 = cross_product(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f192,plain,
cross_product(x,sF0) = sF1,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF2 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f194,plain,
cross_product(x,z) = sF2,
inference(reorient_equations,[],[f193]) ).
fof(f195,plain,
~ subclass(sF1,sF2),
inference(definition_folding,[],[f122,f194,f192,f190]) ).
fof(f201,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,z) ),
inference(superposition,[],[f22,f190]) ).
fof(f210,plain,
! [X0] :
( ~ member(X0,sF1)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f139,f192]) ).
fof(f211,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,[],[f210,f2]) ).
fof(f212,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,[],[f211,f195]) ).
fof(f213,plain,
! [X0,X1] :
( ~ member(not_subclass_element(sF1,sF2),cross_product(X0,X1))
| member(second(not_subclass_element(sF1,sF2)),X1) ),
inference(superposition,[],[f137,f212]) ).
fof(f214,plain,
! [X0,X1] :
( ~ member(not_subclass_element(sF1,sF2),cross_product(X0,X1))
| member(first(not_subclass_element(sF1,sF2)),X0) ),
inference(superposition,[],[f136,f212]) ).
fof(f216,plain,
( ~ member(not_subclass_element(sF1,sF2),sF1)
| member(first(not_subclass_element(sF1,sF2)),x) ),
inference(superposition,[],[f214,f192]) ).
fof(f218,definition,
( spl3_1
<=> member(first(not_subclass_element(sF1,sF2)),x) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f220,plain,
( member(first(not_subclass_element(sF1,sF2)),x)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl3_2
<=> member(not_subclass_element(sF1,sF2),sF1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f223,plain,
( member(not_subclass_element(sF1,sF2),sF1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( ~ member(not_subclass_element(sF1,sF2),sF1)
| spl3_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f216,f222,f218]) ).
fof(f227,definition,
( spl3_3
<=> member(not_subclass_element(sF1,sF2),sF2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f228,plain,
( member(not_subclass_element(sF1,sF2),sF2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( ~ member(not_subclass_element(sF1,sF2),sF2)
| spl3_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,plain,
( subclass(sF1,sF2)
| spl3_2 ),
inference(resolution,[],[f224,f2]) ).
fof(f232,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f231,f195]) ).
fof(f233,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f236,plain,
( ~ member(not_subclass_element(sF1,sF2),sF1)
| member(second(not_subclass_element(sF1,sF2)),sF0) ),
inference(superposition,[],[f213,f192]) ).
fof(f237,plain,
( member(second(not_subclass_element(sF1,sF2)),sF0)
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f236,f223]) ).
fof(f239,plain,
( member(second(not_subclass_element(sF1,sF2)),z)
| ~ spl3_2 ),
inference(resolution,[],[f237,f201]) ).
fof(f244,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,f212]) ).
fof(f250,plain,
( member(not_subclass_element(sF1,sF2),sF2)
| ~ member(second(not_subclass_element(sF1,sF2)),z)
| ~ member(first(not_subclass_element(sF1,sF2)),x) ),
inference(superposition,[],[f244,f194]) ).
fof(f252,plain,
( ~ member(second(not_subclass_element(sF1,sF2)),z)
| ~ member(first(not_subclass_element(sF1,sF2)),x)
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f250,f229]) ).
fof(f253,plain,
( ~ member(first(not_subclass_element(sF1,sF2)),x)
| ~ spl3_2
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f252,f239]) ).
fof(f254,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f253,f220]) ).
fof(f255,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f256,plain,
( subclass(sF1,sF2)
| ~ spl3_3 ),
inference(resolution,[],[f228,f3]) ).
fof(f258,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f256,f195]) ).
fof(f259,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f258]) ).
cnf(s1,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f225]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f233]) ).
cnf(s4,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f255]) ).
cnf(s5,plain,
~ spl3_3,
inference(sat_conversion,[],[f259]) ).
cnf(s6,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
~ spl3_1,
inference(rat,[],[s6,s3]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s3,s7]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET217-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 01:08:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.35/1.52 % (1477241)Input is clausal, will run a generic CNF schedule.
% 4.35/1.52 % (1477246)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=4013578099:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.35/1.52 % (1477249)lrs+10_1_sil=8000:sp=occurrence:random_seed=1274361640:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.35/1.52 % (1477247)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1962852750:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.35/1.52 % (1477252)dis-21_1_sil=8000:lcm=predicate:random_seed=759108235: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)
% 4.35/1.52 % (1477250)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=16974344:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.35/1.52 % (1477248)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2180627574:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.35/1.52 % (1477251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4144548547:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.35/1.52 % (1477249)Refutation not found, incomplete strategy
% 4.35/1.52 % (1477249)------------------------------
% 4.35/1.52 % (1477249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (1477249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (1477249)CaDiCaL version: 2.1.3
% 4.35/1.52 % (1477249)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.52 % (1477249)Time elapsed: 0.002 s
% 4.35/1.52 % (1477249)Peak memory usage: 88 MB
% 4.35/1.52 % (1477249)Instructions burned: 1 (million)
% 4.35/1.52 % (1477250)Refutation not found, incomplete strategy
% 4.35/1.52 % (1477250)------------------------------
% 4.35/1.52 % (1477250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (1477250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (1477250)CaDiCaL version: 2.1.3
% 4.35/1.52 % (1477250)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.52 % (1477250)Time elapsed: 0.004 s
% 4.35/1.52 % (1477250)Peak memory usage: 88 MB
% 4.35/1.52 % (1477250)Instructions burned: 4 (million)
% 4.35/1.52 % (1477252)Instruction limit reached!
% 4.35/1.52 % (1477252)------------------------------
% 4.35/1.52 % (1477252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (1477252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (1477252)CaDiCaL version: 2.1.3
% 4.35/1.52 % (1477252)Termination reason: Instruction limit
% 4.35/1.52 % (1477252)Termination phase: Saturation
% 4.35/1.52 % (1477252)Time elapsed: 0.072 s
% 4.35/1.52 % (1477252)Peak memory usage: 89 MB
% 4.35/1.52 % (1477252)Instructions burned: 119 (million)
% 4.35/1.52 % (1477251)Instruction limit reached!
% 4.35/1.52 % (1477251)------------------------------
% 4.35/1.52 % (1477251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (1477251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (1477251)CaDiCaL version: 2.1.3
% 4.35/1.52 % (1477251)Termination reason: Instruction limit
% 4.35/1.52 % (1477251)Termination phase: Saturation
% 4.35/1.52 % (1477251)Time elapsed: 0.142 s
% 4.35/1.52 % (1477251)Peak memory usage: 90 MB
% 4.35/1.52 % (1477251)Instructions burned: 181 (million)
% 4.35/1.52 % (1477260)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=3551943344:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.35/1.52 % (1477260)Refutation not found, incomplete strategy
% 4.35/1.52 % (1477260)------------------------------
% 4.35/1.52 % (1477260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.52 % (1477260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.52 % (1477260)CaDiCaL version: 2.1.3
% 4.35/1.52 % (1477260)Termination reason: Refutation not found, incomplete strategy
% 4.35/1.52 % (1477260)Time elapsed: 0.003 s
% 4.35/1.52 % (1477260)Peak memory usage: 88 MB
% 4.35/1.52 % (1477260)Instructions burned: 3 (million)
% 4.35/1.52 % (1477250)------------------------------
% 5.23/1.65 % (1477250)------------------------------
% 5.23/1.65 % (1477249)------------------------------
% 5.23/1.65 % (1477249)------------------------------
% 5.23/1.65 % (1477261)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1896632721: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)
% 5.23/1.65 % (1477261)Refutation not found, incomplete strategy
% 5.23/1.65 % (1477261)------------------------------
% 5.23/1.65 % (1477261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.65 % (1477261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.65 % (1477261)CaDiCaL version: 2.1.3
% 5.23/1.65 % (1477261)Termination reason: Refutation not found, incomplete strategy
% 5.23/1.65 % (1477261)Time elapsed: 0.011 s
% 5.23/1.65 % (1477261)Peak memory usage: 88 MB
% 5.23/1.65 % (1477261)Instructions burned: 20 (million)
% 5.23/1.65 % (1477246)First to succeed.
% 5.23/1.65 % (1477246)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1477241"
% 5.23/1.65 % (1477263)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1711536466:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.23/1.65 % (1477264)lrs+10_64_to=lpo:sil=8000:random_seed=2967173982:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.23/1.65 % (1477263)Refutation not found, incomplete strategy
% 5.23/1.65 % (1477263)------------------------------
% 5.23/1.65 % (1477263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.65 % (1477263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.65 % (1477263)CaDiCaL version: 2.1.3
% 5.23/1.65 % (1477263)Termination reason: Refutation not found, incomplete strategy
% 5.23/1.65 % (1477263)Time elapsed: 0.003 s
% 5.23/1.65 % (1477263)Peak memory usage: 88 MB
% 5.23/1.65 % (1477263)Instructions burned: 3 (million)
% 5.23/1.65 % (1477260)------------------------------
% 5.23/1.65 % (1477260)------------------------------
% 5.23/1.65 % (1477264)Instruction limit reached!
% 5.23/1.65 % (1477264)------------------------------
% 5.23/1.65 % (1477264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.65 % (1477264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.65 % (1477264)CaDiCaL version: 2.1.3
% 5.23/1.65 % (1477264)Termination reason: Instruction limit
% 5.23/1.65 % (1477264)Termination phase: Saturation
% 5.23/1.65 % (1477264)Time elapsed: 0.078 s
% 5.23/1.65 % (1477264)Peak memory usage: 90 MB
% 5.23/1.65 % (1477264)Instructions burned: 127 (million)
% 5.23/1.65 % (1477246)Refutation found. Thanks to Tanya!
% 5.23/1.65 % SZS status Unsatisfiable for theBenchmark
% 5.23/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 5.23/1.65 % (1477246)------------------------------
% 5.23/1.65 % (1477246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.65 % (1477246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.65 % (1477246)CaDiCaL version: 2.1.3
% 5.23/1.65 % (1477246)Termination reason: Refutation
% 5.23/1.65 % (1477246)Time elapsed: 0.383 s
% 5.23/1.65 % (1477246)Peak memory usage: 130 MB
% 5.23/1.65 % (1477246)Instructions burned: 984 (million)
% 5.23/1.65 % (1477246)------------------------------
% 5.23/1.65 % (1477246)------------------------------
% 5.23/1.65 % (1477241)Success in time 0.668 s
% 5.23/1.65 % Vampire exiting
%------------------------------------------------------------------------------