%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET160-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:43:19 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.05s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 26 unt; 8 def)
% Number of atoms : 95 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 36 ~; 36 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
union(x,y) != union(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_union_1) ).
fof(f185,plain,
complement(intersection(complement(x),complement(y))) != complement(intersection(complement(y),complement(x))),
inference(definition_unfolding,[],[f122,f26,f26]) ).
fof(f190,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = complement(y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
complement(y) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = intersection(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
intersection(sF0,sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(sF1,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(sF1,sF0) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
sF3 != sF5,
inference(definition_folding,[],[f185,f201,f199,f191,f193,f197,f195,f193,f191]) ).
fof(f203,plain,
sF3 != complement(sF4),
inference(superposition,[],[f202,f201]) ).
fof(f204,plain,
complement(sF2) != complement(sF4),
inference(forward_demodulation,[],[f203,f197]) ).
fof(f260,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF0) ),
inference(superposition,[],[f21,f195]) ).
fof(f261,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF1) ),
inference(superposition,[],[f21,f199]) ).
fof(f265,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f195]) ).
fof(f266,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF0) ),
inference(superposition,[],[f22,f199]) ).
fof(f269,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF0)
| subclass(sF2,X0) ),
inference(resolution,[],[f260,f2]) ).
fof(f292,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),sF1)
| subclass(sF4,X0) ),
inference(resolution,[],[f261,f2]) ).
fof(f403,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF1)
| subclass(sF2,X0) ),
inference(resolution,[],[f265,f2]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f426,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),sF0)
| subclass(sF4,X0) ),
inference(resolution,[],[f266,f2]) ).
fof(f2364,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF1)
| ~ member(not_subclass_element(X0,sF2),sF0)
| subclass(X0,sF2) ),
inference(superposition,[],[f408,f195]) ).
fof(f2365,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF1)
| ~ member(not_subclass_element(X0,sF4),sF0)
| subclass(X0,sF4) ),
inference(superposition,[],[f408,f199]) ).
fof(f10003,plain,
( ~ member(not_subclass_element(sF4,sF2),sF0)
| subclass(sF4,sF2)
| subclass(sF4,sF2) ),
inference(resolution,[],[f2364,f292]) ).
fof(f10028,plain,
( ~ member(not_subclass_element(sF4,sF2),sF0)
| subclass(sF4,sF2) ),
inference(duplicate_literal_removal,[],[f10003]) ).
fof(f10032,plain,
subclass(sF4,sF2),
inference(forward_subsumption_resolution,[],[f10028,f426]) ).
fof(f10034,plain,
( ~ subclass(sF2,sF4)
| sF2 = sF4 ),
inference(resolution,[],[f10032,f7]) ).
fof(f10036,definition,
( spl6_677
<=> sF2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_677])],[avatar_definition]) ).
fof(f10038,plain,
( sF2 = sF4
| ~ spl6_677 ),
inference(avatar_component_clause,[],[f10036]) ).
fof(f10040,definition,
( spl6_678
<=> subclass(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl6_678])],[avatar_definition]) ).
fof(f10042,plain,
( ~ subclass(sF2,sF4)
| spl6_678 ),
inference(avatar_component_clause,[],[f10040]) ).
fof(f10043,plain,
( spl6_677
| ~ spl6_678 ),
inference(avatar_split_clause,[],[f10034,f10040,f10036]) ).
fof(f10045,plain,
( ~ member(not_subclass_element(sF2,sF4),sF0)
| subclass(sF2,sF4)
| subclass(sF2,sF4) ),
inference(resolution,[],[f2365,f403]) ).
fof(f10068,plain,
( ~ member(not_subclass_element(sF2,sF4),sF0)
| subclass(sF2,sF4) ),
inference(duplicate_literal_removal,[],[f10045]) ).
fof(f10074,plain,
subclass(sF2,sF4),
inference(forward_subsumption_resolution,[],[f10068,f269]) ).
fof(f10075,plain,
( $false
| spl6_678 ),
inference(forward_subsumption_resolution,[],[f10074,f10042]) ).
fof(f10076,plain,
spl6_678,
inference(avatar_contradiction_clause,[],[f10075]) ).
fof(f10079,plain,
( complement(sF2) != complement(sF2)
| ~ spl6_677 ),
inference(superposition,[],[f204,f10038]) ).
fof(f10127,plain,
( $false
| ~ spl6_677 ),
inference(trivial_inequality_removal,[],[f10079]) ).
fof(f10128,plain,
~ spl6_677,
inference(avatar_contradiction_clause,[],[f10127]) ).
cnf(s637,plain,
( spl6_677
| ~ spl6_678 ),
inference(sat_conversion,[],[f10043]) ).
cnf(s638,plain,
spl6_678,
inference(sat_conversion,[],[f10076]) ).
cnf(s639,plain,
~ spl6_677,
inference(sat_conversion,[],[f10128]) ).
cnf(s641,plain,
$false,
inference(rat,[],[s637,s638,s639]) ).
fof(f10131,plain,
$false,
inference(avatar_sat_refutation,[],[s641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET160-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.49 % Computer : n026.cluster.edu
% 0.11/0.49 % Model : x86_64 x86_64
% 0.11/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.49 % Memory : 8046.5625MB
% 0.11/0.49 % OS : Linux 6.8.0-71-generic
% 0.11/0.49 % CPULimit : 300
% 0.11/0.49 % WCLimit : 300
% 0.11/0.49 % DateTime : Mon Sep 28 01:00:13 UTC 2026
% 0.11/0.49 % CPUTime :
% 0.11/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.52 Running first-order model finding
% 0.11/0.52 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/1.05 % (3375353)Will run a generic schedule for satisfiability detection.
% 3.53/1.05 % (3375364)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3448656759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.53/1.05 % (3375359)% WARNING: option uhcvi not known.
% 3.53/1.05 % (3375362)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=870282057:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.53/1.05 % (3375358)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2033034246_2999 on theBenchmark for (2999ds/0Mi)
% 3.53/1.05 % (3375359)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=544060036:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.53/1.05 % (3375361)dis+10_1_sil=32000:sp=arity:random_seed=2556128515:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.53/1.05 % (3375360)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1265085301:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.53/1.05 % (3375363)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4009345711:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.53/1.05 % (3375364)Instruction limit reached!
% 3.53/1.05 % (3375364)------------------------------
% 3.53/1.05 % (3375364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375364)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375364)Termination reason: Instruction limit
% 3.53/1.05 % (3375364)Termination phase: Saturation
% 3.53/1.05 % (3375364)Time elapsed: 0.065 s
% 3.53/1.05 % (3375364)Peak memory usage: 14 MB
% 3.53/1.05 % (3375364)Instructions burned: 160 (million)
% 3.53/1.05 % (3375361)Instruction limit reached!
% 3.53/1.05 % (3375361)------------------------------
% 3.53/1.05 % (3375361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375361)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375361)Termination reason: Instruction limit
% 3.53/1.05 % (3375361)Termination phase: Saturation
% 3.53/1.05 % (3375361)Time elapsed: 0.066 s
% 3.53/1.05 % (3375361)Peak memory usage: 13 MB
% 3.53/1.05 % (3375361)Instructions burned: 104 (million)
% 3.53/1.05 % (3375362)Instruction limit reached!
% 3.53/1.05 % (3375362)------------------------------
% 3.53/1.05 % (3375362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375362)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375362)Termination reason: Instruction limit
% 3.53/1.05 % (3375362)Termination phase: Saturation
% 3.53/1.05 % (3375362)Time elapsed: 0.071 s
% 3.53/1.05 % (3375362)Peak memory usage: 13 MB
% 3.53/1.05 % (3375362)Instructions burned: 116 (million)
% 3.53/1.05 % (3375363)Instruction limit reached!
% 3.53/1.05 % (3375363)------------------------------
% 3.53/1.05 % (3375363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375363)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375363)Termination reason: Instruction limit
% 3.53/1.05 % (3375363)Termination phase: Saturation
% 3.53/1.05 % (3375363)Time elapsed: 0.078 s
% 3.53/1.05 % (3375363)Peak memory usage: 13 MB
% 3.53/1.05 % (3375363)Instructions burned: 131 (million)
% 3.53/1.05 % (3375372)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2856047704:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.53/1.05 % (3375373)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2088967658:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.53/1.05 % (3375374)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3120135657:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.53/1.05 % (3375376)ott-21_1_sil=16000:fs=off:random_seed=2066936923:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.53/1.05 % (3375373)Instruction limit reached!
% 3.53/1.05 % (3375373)------------------------------
% 3.53/1.05 % (3375373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375373)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375373)Termination reason: Instruction limit
% 3.53/1.05 % (3375373)Termination phase: Saturation
% 3.53/1.05 % (3375373)Time elapsed: 0.087 s
% 3.53/1.05 % (3375373)Peak memory usage: 13 MB
% 3.53/1.05 % (3375373)Instructions burned: 131 (million)
% 3.53/1.05 % (3375380)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3464367751:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.53/1.05 % (3375376)Instruction limit reached!
% 3.53/1.05 % (3375376)------------------------------
% 3.53/1.05 % (3375376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375376)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375376)Termination reason: Instruction limit
% 3.53/1.05 % (3375376)Termination phase: Saturation
% 3.53/1.05 % (3375376)Time elapsed: 0.096 s
% 3.53/1.05 % (3375376)Peak memory usage: 12 MB
% 3.53/1.05 % (3375376)Instructions burned: 180 (million)
% 3.53/1.05 % TRYING [1]
% 3.53/1.05 % TRYING [2]
% 3.53/1.05 % TRYING [1]
% 3.53/1.05 % TRYING [2]
% 3.53/1.05 % (3375382)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2773142848:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.53/1.05 % TRYING [3]
% 3.53/1.05 % TRYING [3]
% 3.53/1.05 % (3375372)Instruction limit reached!
% 3.53/1.05 % (3375372)------------------------------
% 3.53/1.05 % (3375372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375372)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375372)Termination reason: Instruction limit
% 3.53/1.05 % (3375372)Termination phase: Finite model building constraint generation
% 3.53/1.05 % (3375372)Time elapsed: 0.203 s
% 3.53/1.05 % (3375372)Peak memory usage: 34 MB
% 3.53/1.05 % (3375372)Instructions burned: 715 (million)
% 3.53/1.05 % (3375384)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3081724545:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.53/1.05 % TRYING [4]
% 3.53/1.05 % TRYING [1]
% 3.53/1.05 % TRYING [2]
% 3.53/1.05 % (3375384) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3375353-3375384"...
% 3.53/1.05 % (3375384)...printing done.
% 3.53/1.05 % (3375384)Refutation found. Thanks to Tanya!
% 3.53/1.05 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.05 % (3375384)------------------------------
% 3.53/1.05 % (3375384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.05 % (3375384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.05 % (3375384)CaDiCaL version: 2.1.3
% 3.53/1.05 % (3375384)Termination reason: Refutation
% 3.53/1.05 % (3375384)Time elapsed: 0.182 s
% 3.53/1.05 % (3375384)Peak memory usage: 18 MB
% 3.53/1.05 % (3375384)Instructions burned: 549 (million)
% 3.53/1.05 % (3375353)Success in time 0.52 s
% 3.53/1.05 % Vampire exiting
%------------------------------------------------------------------------------