%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET148-6 : 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 : n012.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 12:43:16 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.50s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 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(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(f122,negated_conjecture,
intersection(x,x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idempotency_of_intersection_1) ).
fof(f123,plain,
x != intersection(x,x),
inference(reorient_equations,[],[f122]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f264,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f228,f3]) ).
fof(f272,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f908,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f7,f272]) ).
fof(f3593,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f233,f2]) ).
fof(f3630,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f3593]) ).
fof(f6747,plain,
! [X0] :
( subclass(X0,intersection(X0,X0))
| subclass(X0,intersection(X0,X0)) ),
inference(resolution,[],[f3630,f2]) ).
fof(f6808,plain,
! [X0] : subclass(X0,intersection(X0,X0)),
inference(duplicate_literal_removal,[],[f6747]) ).
fof(f6860,plain,
! [X0] : intersection(X0,X0) = X0,
inference(resolution,[],[f6808,f908]) ).
fof(f7125,plain,
x != x,
inference(superposition,[],[f123,f6860]) ).
fof(f7126,plain,
$false,
inference(trivial_inequality_removal,[],[f7125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET148-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 00:54:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.59/0.50 % (2913513)Will run a generic schedule for satisfiability detection.
% 0.59/0.50 % (2913519)% WARNING: option uhcvi not known.
% 0.59/0.50 % (2913522)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4194922969:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.59/0.50 % (2913518)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1256542150_2999 on theBenchmark for (2999ds/0Mi)
% 0.59/0.50 % (2913520)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2188041593:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.59/0.50 % (2913519)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=422212728:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.59/0.50 % (2913521)dis+10_1_sil=32000:sp=arity:random_seed=3651362569:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.59/0.50 % (2913523)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=301676570:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.59/0.50 % (2913524)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2070777772:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.59/0.50 % (2913521)Instruction limit reached!
% 0.59/0.50 % (2913521)------------------------------
% 0.59/0.50 % (2913521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913521)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913521)Termination reason: Instruction limit
% 0.59/0.50 % (2913521)Termination phase: Saturation
% 0.59/0.50 % (2913521)Time elapsed: 0.038 s
% 0.59/0.50 % (2913521)Peak memory usage: 13 MB
% 0.59/0.50 % (2913521)Instructions burned: 106 (million)
% 0.59/0.50 % (2913522)Instruction limit reached!
% 0.59/0.50 % (2913522)------------------------------
% 0.59/0.50 % (2913522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913522)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913522)Termination reason: Instruction limit
% 0.59/0.50 % (2913522)Termination phase: Saturation
% 0.59/0.50 % (2913522)Time elapsed: 0.040 s
% 0.59/0.50 % (2913522)Peak memory usage: 13 MB
% 0.59/0.50 % (2913522)Instructions burned: 116 (million)
% 0.59/0.50 % (2913523)Instruction limit reached!
% 0.59/0.50 % (2913523)------------------------------
% 0.59/0.50 % (2913523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913523)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913523)Termination reason: Instruction limit
% 0.59/0.50 % (2913523)Termination phase: Saturation
% 0.59/0.50 % (2913523)Time elapsed: 0.044 s
% 0.59/0.50 % (2913523)Peak memory usage: 13 MB
% 0.59/0.50 % (2913523)Instructions burned: 133 (million)
% 0.59/0.50 % (2913532)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2028016633:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.59/0.50 % (2913533)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2811947280:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.59/0.50 % (2913534)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=2183752758:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.59/0.50 % (2913524)Instruction limit reached!
% 0.59/0.50 % (2913524)------------------------------
% 0.59/0.50 % (2913524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913524)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913524)Termination reason: Instruction limit
% 0.59/0.50 % (2913524)Termination phase: Saturation
% 0.59/0.50 % (2913524)Time elapsed: 0.065 s
% 0.59/0.50 % (2913524)Peak memory usage: 14 MB
% 0.59/0.50 % (2913524)Instructions burned: 161 (million)
% 0.59/0.50 % (2913538)ott-21_1_sil=16000:fs=off:random_seed=2490062147:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.59/0.50 % (2913533)Instruction limit reached!
% 0.59/0.50 % (2913533)------------------------------
% 0.59/0.50 % (2913533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913533)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913533)Termination reason: Instruction limit
% 0.59/0.50 % (2913533)Termination phase: Saturation
% 0.59/0.50 % (2913533)Time elapsed: 0.048 s
% 0.59/0.50 % (2913533)Peak memory usage: 13 MB
% 0.59/0.50 % (2913533)Instructions burned: 131 (million)
% 0.59/0.50 % TRYING [1]
% 0.59/0.50 % (2913540)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2476842898:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.59/0.50 % TRYING [2]
% 0.59/0.50 % TRYING [3]
% 0.59/0.50 % (2913538)Instruction limit reached!
% 0.59/0.50 % (2913538)------------------------------
% 0.59/0.50 % (2913538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913538)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913538)Termination reason: Instruction limit
% 0.59/0.50 % (2913538)Termination phase: Saturation
% 0.59/0.50 % (2913538)Time elapsed: 0.053 s
% 0.59/0.50 % (2913538)Peak memory usage: 13 MB
% 0.59/0.50 % (2913538)Instructions burned: 183 (million)
% 0.59/0.50 % (2913534) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2913513-2913534"...
% 0.59/0.50 % (2913534)...printing done.
% 0.59/0.50 % (2913534)Refutation found. Thanks to Tanya!
% 0.59/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.59/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.50 % (2913534)------------------------------
% 0.59/0.50 % (2913534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.50 % (2913534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.50 % (2913534)CaDiCaL version: 2.1.3
% 0.59/0.50 % (2913534)Termination reason: Refutation
% 0.59/0.50 % (2913534)Time elapsed: 0.082 s
% 0.59/0.50 % (2913534)Peak memory usage: 15 MB
% 0.59/0.50 % (2913534)Instructions burned: 215 (million)
% 0.59/0.50 % (2913513)Success in time 0.169 s
% 0.59/0.50 % Vampire exiting
%------------------------------------------------------------------------------