%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET257-6 : 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 : n007.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 12:43:33 PM UTC 2026
% Result : Unsatisfiable 1.40s 0.71s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 36 ( 7 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 : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 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(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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f122,negated_conjecture,
restrict(cross_product(x,y),x,y) != cross_product(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property5_1) ).
fof(f123,plain,
cross_product(x,y) != restrict(cross_product(x,y),x,y),
inference(reorient_equations,[],[f122]) ).
fof(f186,plain,
cross_product(x,y) != intersection(cross_product(x,y),cross_product(x,y)),
inference(definition_unfolding,[],[f123,f28]) ).
fof(f219,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f352,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(f888,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f219,f3]) ).
fof(f908,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f888]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0))
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f352,f2]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f1292]) ).
fof(f9217,plain,
! [X0] :
( subclass(X0,intersection(X0,X0))
| subclass(X0,intersection(X0,X0)) ),
inference(resolution,[],[f1311,f2]) ).
fof(f9242,plain,
! [X0] : subclass(X0,intersection(X0,X0)),
inference(duplicate_literal_removal,[],[f9217]) ).
fof(f9377,plain,
! [X0] :
( ~ subclass(intersection(X0,X0),X0)
| intersection(X0,X0) = X0 ),
inference(resolution,[],[f9242,f7]) ).
fof(f9391,plain,
! [X0] : intersection(X0,X0) = X0,
inference(forward_subsumption_resolution,[],[f9377,f908]) ).
fof(f9419,plain,
$false,
inference(backward_subsumption_resolution,[],[f186,f9391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET257-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:11:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 1.40/0.71 % (1938154)Will run a generic schedule for satisfiability detection.
% 1.40/0.71 % (1938159)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1515728524_2999 on theBenchmark for (2999ds/0Mi)
% 1.40/0.71 % (1938160)% WARNING: option uhcvi not known.
% 1.40/0.71 % (1938163)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3806948671:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.40/0.71 % (1938160)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=402450321:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.40/0.71 % (1938161)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4146950450:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.40/0.71 % (1938162)dis+10_1_sil=32000:sp=arity:random_seed=4276644344:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.40/0.71 % (1938164)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=491715018:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.40/0.71 % (1938165)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2746681387:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.40/0.71 % (1938162)Instruction limit reached!
% 1.40/0.71 % (1938162)------------------------------
% 1.40/0.71 % (1938162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938162)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938162)Termination reason: Instruction limit
% 1.40/0.71 % (1938162)Termination phase: Saturation
% 1.40/0.71 % (1938162)Time elapsed: 0.067 s
% 1.40/0.71 % (1938162)Peak memory usage: 13 MB
% 1.40/0.71 % (1938162)Instructions burned: 104 (million)
% 1.40/0.71 % (1938163)Instruction limit reached!
% 1.40/0.71 % (1938163)------------------------------
% 1.40/0.71 % (1938163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938163)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938163)Termination reason: Instruction limit
% 1.40/0.71 % (1938163)Termination phase: Saturation
% 1.40/0.71 % (1938163)Time elapsed: 0.070 s
% 1.40/0.71 % (1938163)Peak memory usage: 13 MB
% 1.40/0.71 % (1938163)Instructions burned: 116 (million)
% 1.40/0.71 % (1938164)Instruction limit reached!
% 1.40/0.71 % (1938164)------------------------------
% 1.40/0.71 % (1938164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938164)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938164)Termination reason: Instruction limit
% 1.40/0.71 % (1938164)Termination phase: Saturation
% 1.40/0.71 % (1938164)Time elapsed: 0.078 s
% 1.40/0.71 % (1938164)Peak memory usage: 12 MB
% 1.40/0.71 % (1938164)Instructions burned: 131 (million)
% 1.40/0.71 % (1938173)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2467280935:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.40/0.71 % (1938174)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1989945002:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.40/0.71 % (1938175)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=1380999011:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.40/0.71 % TRYING [1]
% 1.40/0.71 % TRYING [2]
% 1.40/0.71 % (1938165)Instruction limit reached!
% 1.40/0.71 % (1938165)------------------------------
% 1.40/0.71 % (1938165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938165)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938165)Termination reason: Instruction limit
% 1.40/0.71 % (1938165)Termination phase: Saturation
% 1.40/0.71 % (1938165)Time elapsed: 0.104 s
% 1.40/0.71 % (1938165)Peak memory usage: 13 MB
% 1.40/0.71 % (1938165)Instructions burned: 159 (million)
% 1.40/0.71 % TRYING [3]
% 1.40/0.71 % (1938179)ott-21_1_sil=16000:fs=off:random_seed=3014179052:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.40/0.71 % (1938174)Instruction limit reached!
% 1.40/0.71 % (1938174)------------------------------
% 1.40/0.71 % (1938174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938174)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938174)Termination reason: Instruction limit
% 1.40/0.71 % (1938174)Termination phase: Saturation
% 1.40/0.71 % (1938174)Time elapsed: 0.089 s
% 1.40/0.71 % (1938174)Peak memory usage: 13 MB
% 1.40/0.71 % (1938174)Instructions burned: 132 (million)
% 1.40/0.71 % (1938181)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=899902922:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.40/0.71 % TRYING [4]
% 1.40/0.71 % (1938179)Instruction limit reached!
% 1.40/0.71 % (1938179)------------------------------
% 1.40/0.71 % (1938179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938179)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938179)Termination reason: Instruction limit
% 1.40/0.71 % (1938179)Termination phase: Saturation
% 1.40/0.71 % (1938179)Time elapsed: 0.099 s
% 1.40/0.71 % (1938179)Peak memory usage: 12 MB
% 1.40/0.71 % (1938179)Instructions burned: 184 (million)
% 1.40/0.71 % (1938160) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1938154-1938160"...
% 1.40/0.71 % (1938160)...printing done.
% 1.40/0.71 % (1938160)Refutation found. Thanks to Tanya!
% 1.40/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.71 % (1938160)------------------------------
% 1.40/0.71 % (1938160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.71 % (1938160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.71 % (1938160)CaDiCaL version: 2.1.3
% 1.40/0.71 % (1938160)Termination reason: Refutation
% 1.40/0.71 % (1938160)Time elapsed: 0.230 s
% 1.40/0.71 % (1938160)Peak memory usage: 15 MB
% 1.40/0.71 % (1938160)Instructions burned: 354 (million)
% 1.40/0.71 % (1938154)Success in time 0.272 s
% 1.40/0.71 % Vampire exiting
%------------------------------------------------------------------------------