%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET149-6 : 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 : n017.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 12:43:17 PM UTC 2026
% Result : Unsatisfiable 0.51s 0.57s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 18 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 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(f122,negated_conjecture,
intersection(x,intersection(x,y)) != intersection(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_intersection_1) ).
fof(f123,plain,
intersection(x,y) != intersection(x,intersection(x,y)),
inference(reorient_equations,[],[f122]) ).
fof(f235,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f236,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f245,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,[],[f235,f3]) ).
fof(f272,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f483,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f245,f2]) ).
fof(f495,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f525,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),intersection(X0,intersection(X0,X1)))
| subclass(intersection(X0,X1),intersection(X0,intersection(X0,X1))) ),
inference(resolution,[],[f495,f236]) ).
fof(f536,plain,
! [X0,X1] : subclass(intersection(X0,X1),intersection(X0,intersection(X0,X1))),
inference(duplicate_literal_removal,[],[f525]) ).
fof(f999,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,intersection(X0,X1)),intersection(X0,X1))
| intersection(X0,X1) = intersection(X0,intersection(X0,X1)) ),
inference(resolution,[],[f536,f7]) ).
fof(f1012,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X0,intersection(X0,X1)),
inference(forward_subsumption_resolution,[],[f999,f272]) ).
fof(f1113,plain,
intersection(x,y) != intersection(x,y),
inference(superposition,[],[f123,f1012]) ).
fof(f1114,plain,
$false,
inference(trivial_inequality_removal,[],[f1113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET149-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 00:50:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.51/0.57 % (3121132)Will run a generic schedule for satisfiability detection.
% 0.51/0.57 % (3121137)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=793096455_2999 on theBenchmark for (2999ds/0Mi)
% 0.51/0.57 % (3121138)% WARNING: option uhcvi not known.
% 0.51/0.57 % (3121138)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3656440663:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.51/0.57 % (3121139)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1182056122:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.51/0.57 % (3121140)dis+10_1_sil=32000:sp=arity:random_seed=1055963448:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.51/0.57 % (3121141)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4127314164:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.51/0.57 % (3121142)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2939981400:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.51/0.57 % (3121143)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3045205848:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.51/0.57 % (3121140)Instruction limit reached!
% 0.51/0.57 % (3121140)------------------------------
% 0.51/0.57 % (3121140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.57 % (3121140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.57 % (3121140)CaDiCaL version: 2.1.3
% 0.51/0.57 % (3121140)Termination reason: Instruction limit
% 0.51/0.57 % (3121140)Termination phase: Saturation
% 0.51/0.57 % (3121140)Time elapsed: 0.066 s
% 0.51/0.57 % (3121140)Peak memory usage: 13 MB
% 0.51/0.57 % (3121140)Instructions burned: 103 (million)
% 0.51/0.57 % (3121141)Instruction limit reached!
% 0.51/0.57 % (3121141)------------------------------
% 0.51/0.57 % (3121141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.57 % (3121141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.57 % (3121141)CaDiCaL version: 2.1.3
% 0.51/0.57 % (3121141)Termination reason: Instruction limit
% 0.51/0.57 % (3121141)Termination phase: Saturation
% 0.51/0.57 % (3121141)Time elapsed: 0.072 s
% 0.51/0.57 % (3121141)Peak memory usage: 13 MB
% 0.51/0.57 % (3121141)Instructions burned: 117 (million)
% 0.51/0.57 % (3121142)Instruction limit reached!
% 0.51/0.57 % (3121142)------------------------------
% 0.51/0.57 % (3121142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.57 % (3121142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.57 % (3121142)CaDiCaL version: 2.1.3
% 0.51/0.57 % (3121142)Termination reason: Instruction limit
% 0.51/0.57 % (3121142)Termination phase: Saturation
% 0.51/0.57 % (3121142)Time elapsed: 0.079 s
% 0.51/0.57 % (3121142)Peak memory usage: 13 MB
% 0.51/0.57 % (3121142)Instructions burned: 133 (million)
% 0.51/0.57 % (3121151)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=548970057:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.51/0.57 % (3121152)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1887190622:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.51/0.57 % TRYING [1]
% 0.51/0.57 % (3121153)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=1274916530:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.51/0.57 % TRYING [2]
% 0.51/0.57 % (3121143)Instruction limit reached!
% 0.51/0.57 % (3121143)------------------------------
% 0.51/0.57 % (3121143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.57 % (3121143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.57 % (3121143)CaDiCaL version: 2.1.3
% 0.51/0.57 % (3121143)Termination reason: Instruction limit
% 0.51/0.57 % (3121143)Termination phase: Saturation
% 0.51/0.57 % (3121143)Time elapsed: 0.113 s
% 0.51/0.57 % (3121143)Peak memory usage: 14 MB
% 0.51/0.57 % (3121143)Instructions burned: 159 (million)
% 0.51/0.57 % TRYING [3]
% 0.51/0.57 % (3121153) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3121132-3121153"...
% 0.51/0.57 % (3121153)...printing done.
% 0.51/0.57 % (3121153)Refutation found. Thanks to Tanya!
% 0.51/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.51/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.57 % (3121153)------------------------------
% 0.51/0.57 % (3121153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.57 % (3121153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.57 % (3121153)CaDiCaL version: 2.1.3
% 0.51/0.57 % (3121153)Termination reason: Refutation
% 0.51/0.57 % (3121153)Time elapsed: 0.022 s
% 0.51/0.57 % (3121153)Peak memory usage: 12 MB
% 0.51/0.57 % (3121153)Instructions burned: 30 (million)
% 0.51/0.57 % (3121132)Success in time 0.162 s
% 0.51/0.57 % Vampire exiting
%------------------------------------------------------------------------------