%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET223-6 : 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 : n004.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 12:40:33 PM UTC 2026
% Result : Unsatisfiable 5.67s 2.03s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 22 unt; 8 def)
% Number of atoms : 130 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 116 ( 57 ~; 55 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 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(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(f122,negated_conjecture,
~ subclass(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property5_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(w,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f190,plain,
intersection(w,y) = sF0,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF1 = intersection(x,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f192,plain,
intersection(x,z) = sF1,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF2 = cross_product(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f194,plain,
cross_product(sF0,sF1) = sF2,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF3 = cross_product(w,z),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f196,plain,
cross_product(w,z) = sF3,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
~ subclass(sF2,sF3),
inference(definition_folding,[],[f122,f196,f194,f192,f190]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,w) ),
inference(superposition,[],[f21,f190]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,z) ),
inference(superposition,[],[f22,f192]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,sF2)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f139,f194]) ).
fof(f217,plain,
! [X0] :
( subclass(sF2,X0)
| not_subclass_element(sF2,X0) = unordered_pair(unordered_pair(first(not_subclass_element(sF2,X0)),first(not_subclass_element(sF2,X0))),unordered_pair(first(not_subclass_element(sF2,X0)),unordered_pair(second(not_subclass_element(sF2,X0)),second(not_subclass_element(sF2,X0))))) ),
inference(resolution,[],[f216,f2]) ).
fof(f218,plain,
not_subclass_element(sF2,sF3) = unordered_pair(unordered_pair(first(not_subclass_element(sF2,sF3)),first(not_subclass_element(sF2,sF3))),unordered_pair(first(not_subclass_element(sF2,sF3)),unordered_pair(second(not_subclass_element(sF2,sF3)),second(not_subclass_element(sF2,sF3))))),
inference(resolution,[],[f217,f197]) ).
fof(f219,plain,
! [X0,X1] :
( ~ member(not_subclass_element(sF2,sF3),cross_product(X0,X1))
| member(second(not_subclass_element(sF2,sF3)),X1) ),
inference(superposition,[],[f137,f218]) ).
fof(f220,plain,
! [X0,X1] :
( ~ member(not_subclass_element(sF2,sF3),cross_product(X0,X1))
| member(first(not_subclass_element(sF2,sF3)),X0) ),
inference(superposition,[],[f136,f218]) ).
fof(f222,plain,
( ~ member(not_subclass_element(sF2,sF3),sF2)
| member(first(not_subclass_element(sF2,sF3)),sF0) ),
inference(superposition,[],[f220,f194]) ).
fof(f224,definition,
( spl4_1
<=> member(first(not_subclass_element(sF2,sF3)),sF0) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f226,plain,
( member(first(not_subclass_element(sF2,sF3)),sF0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl4_2
<=> member(not_subclass_element(sF2,sF3),sF2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f229,plain,
( member(not_subclass_element(sF2,sF3),sF2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( ~ member(not_subclass_element(sF2,sF3),sF2)
| spl4_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f222,f228,f224]) ).
fof(f233,definition,
( spl4_3
<=> member(first(not_subclass_element(sF2,sF3)),w) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f235,plain,
( member(first(not_subclass_element(sF2,sF3)),w)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl4_4
<=> member(not_subclass_element(sF2,sF3),sF3) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f238,plain,
( member(not_subclass_element(sF2,sF3),sF3)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( ~ member(not_subclass_element(sF2,sF3),sF3)
| spl4_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,plain,
( subclass(sF2,sF3)
| spl4_2 ),
inference(resolution,[],[f230,f2]) ).
fof(f242,plain,
( $false
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f241,f197]) ).
fof(f243,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f245,plain,
( member(first(not_subclass_element(sF2,sF3)),w)
| ~ spl4_1 ),
inference(resolution,[],[f226,f202]) ).
fof(f246,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f245,f224,f233]) ).
fof(f249,plain,
( ~ member(not_subclass_element(sF2,sF3),sF2)
| member(second(not_subclass_element(sF2,sF3)),sF1) ),
inference(superposition,[],[f219,f194]) ).
fof(f250,plain,
( member(second(not_subclass_element(sF2,sF3)),sF1)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f249,f229]) ).
fof(f252,plain,
( member(second(not_subclass_element(sF2,sF3)),z)
| ~ spl4_2 ),
inference(resolution,[],[f250,f204]) ).
fof(f257,plain,
! [X0,X1] :
( member(not_subclass_element(sF2,sF3),cross_product(X0,X1))
| ~ member(second(not_subclass_element(sF2,sF3)),X1)
| ~ member(first(not_subclass_element(sF2,sF3)),X0) ),
inference(superposition,[],[f138,f218]) ).
fof(f263,plain,
( member(not_subclass_element(sF2,sF3),sF3)
| ~ member(second(not_subclass_element(sF2,sF3)),z)
| ~ member(first(not_subclass_element(sF2,sF3)),w) ),
inference(superposition,[],[f257,f196]) ).
fof(f265,plain,
( ~ member(second(not_subclass_element(sF2,sF3)),z)
| ~ member(first(not_subclass_element(sF2,sF3)),w)
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f263,f239]) ).
fof(f266,plain,
( ~ member(first(not_subclass_element(sF2,sF3)),w)
| ~ spl4_2
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f265,f252]) ).
fof(f267,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f266,f235]) ).
fof(f268,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f269,plain,
( subclass(sF2,sF3)
| ~ spl4_4 ),
inference(resolution,[],[f238,f3]) ).
fof(f271,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f269,f197]) ).
fof(f272,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f271]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f231]) ).
cnf(s3,plain,
spl4_2,
inference(sat_conversion,[],[f243]) ).
cnf(s4,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f246]) ).
cnf(s5,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s6,plain,
~ spl4_4,
inference(sat_conversion,[],[f272]) ).
cnf(s7,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
~ spl4_3,
inference(rat,[],[s7,s3]) ).
cnf(s9,plain,
~ spl4_1,
inference(rat,[],[s4,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s3,s9]) ).
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET223-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 % Computer : n004.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 28 01:09:07 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 5.67/2.03 % (4052991)Input is clausal, will run a generic CNF schedule.
% 5.67/2.03 % (4052996)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=13321326:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.67/2.03 % (4053001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2106733876:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.67/2.03 % (4052999)lrs+10_1_sil=8000:sp=occurrence:random_seed=3055571920:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.67/2.03 % (4053000)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2308334311:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.67/2.03 % (4052997)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3124785728:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.67/2.03 % (4052998)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1875159321:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.67/2.03 % (4052999)Refutation not found, incomplete strategy
% 5.67/2.03 % (4052999)------------------------------
% 5.67/2.03 % (4052999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4052999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4052999)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4052999)Termination reason: Refutation not found, incomplete strategy
% 5.67/2.03 % (4052999)Time elapsed: 0.003 s
% 5.67/2.03 % (4052999)Peak memory usage: 88 MB
% 5.67/2.03 % (4052999)Instructions burned: 1 (million)
% 5.67/2.03 % (4053000)Refutation not found, incomplete strategy
% 5.67/2.03 % (4053000)------------------------------
% 5.67/2.03 % (4053000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053000)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053000)Termination reason: Refutation not found, incomplete strategy
% 5.67/2.03 % (4053000)Time elapsed: 0.006 s
% 5.67/2.03 % (4053000)Peak memory usage: 88 MB
% 5.67/2.03 % (4053000)Instructions burned: 4 (million)
% 5.67/2.03 % (4053002)dis-21_1_sil=8000:lcm=predicate:random_seed=2977554149: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)
% 5.67/2.03 % (4053002)Instruction limit reached!
% 5.67/2.03 % (4053002)------------------------------
% 5.67/2.03 % (4053002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053002)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053002)Termination reason: Instruction limit
% 5.67/2.03 % (4053002)Termination phase: Saturation
% 5.67/2.03 % (4053002)Time elapsed: 0.116 s
% 5.67/2.03 % (4053002)Peak memory usage: 89 MB
% 5.67/2.03 % (4053002)Instructions burned: 117 (million)
% 5.67/2.03 % (4053001)Instruction limit reached!
% 5.67/2.03 % (4053001)------------------------------
% 5.67/2.03 % (4053001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053001)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053001)Termination reason: Instruction limit
% 5.67/2.03 % (4053001)Termination phase: Saturation
% 5.67/2.03 % (4053001)Time elapsed: 0.206 s
% 5.67/2.03 % (4053001)Peak memory usage: 90 MB
% 5.67/2.03 % (4053001)Instructions burned: 181 (million)
% 5.67/2.03 % (4052999)------------------------------
% 5.67/2.03 % (4052999)------------------------------
% 5.67/2.03 % (4053000)------------------------------
% 5.67/2.03 % (4053000)------------------------------
% 5.67/2.03 % (4053010)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=3963149704:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 5.67/2.03 % (4053010)Refutation not found, incomplete strategy
% 5.67/2.03 % (4053010)------------------------------
% 5.67/2.03 % (4053010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053010)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053010)Termination reason: Refutation not found, incomplete strategy
% 5.67/2.03 % (4053010)Time elapsed: 0.004 s
% 5.67/2.03 % (4053010)Peak memory usage: 88 MB
% 5.67/2.03 % (4053010)Instructions burned: 3 (million)
% 5.67/2.03 % (4053011)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2243533455:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 5.67/2.03 % (4053011)Refutation not found, incomplete strategy
% 5.67/2.03 % (4053011)------------------------------
% 5.67/2.03 % (4053011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053011)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053011)Termination reason: Refutation not found, incomplete strategy
% 5.67/2.03 % (4053011)Time elapsed: 0.019 s
% 5.67/2.03 % (4053011)Peak memory usage: 89 MB
% 5.67/2.03 % (4053011)Instructions burned: 20 (million)
% 5.67/2.03 % (4052996)First to succeed.
% 5.67/2.03 % (4052996)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4052991"
% 5.67/2.03 % (4053014)lrs+10_64_to=lpo:sil=8000:random_seed=1542859431:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 5.67/2.03 % (4053013)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2215513671:st=4:i=219:sd=3:ss=axioms_2993 on theBenchmark for (2993ds/219Mi)
% 5.67/2.03 % (4053013)Refutation not found, incomplete strategy
% 5.67/2.03 % (4053013)------------------------------
% 5.67/2.03 % (4053013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/2.03 % (4053013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/2.03 % (4053013)CaDiCaL version: 2.1.3
% 5.67/2.03 % (4053013)Termination reason: Refutation not found, incomplete strategy
% 5.67/2.03 % (4053013)Time elapsed: 0.005 s
% 5.67/2.03 % (4053013)Peak memory usage: 87 MB
% 5.67/2.03 % (4053013)Instructions burned: 4 (million)
% 5.67/2.03 % (4053010)------------------------------
% 5.67/2.03 % (4053010)------------------------------
% 5.67/2.03 % (4052996)Refutation found. Thanks to Tanya!
% 5.67/2.03 % SZS status Unsatisfiable for theBenchmark
% 5.67/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/2.23 % (4052996)------------------------------
% 8.35/2.23 % (4052996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.23 % (4052996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.23 % (4052996)CaDiCaL version: 2.1.3
% 8.35/2.23 % (4052996)Termination reason: Refutation
% 8.35/2.23 % (4052996)Time elapsed: 0.585 s
% 8.35/2.23 % (4052996)Peak memory usage: 130 MB
% 8.35/2.23 % (4052996)Instructions burned: 987 (million)
% 8.35/2.23 % (4052996)------------------------------
% 8.35/2.23 % (4052996)------------------------------
% 8.35/2.23 % (4052991)Success in time 1.092 s
% 8.35/2.23 % Vampire exiting
%------------------------------------------------------------------------------