%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:42:43 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f101,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
fof(f102,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
fof(f103,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
fof(f159,plain,
member(not_subclass_element(x,z),x),
inference(resolution,[],[f2,f103]) ).
fof(f160,plain,
~ member(not_subclass_element(x,z),z),
inference(resolution,[],[f3,f103]) ).
fof(f173,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f101]) ).
fof(f174,plain,
! [X0] :
( member(X0,z)
| ~ member(X0,y) ),
inference(resolution,[],[f1,f102]) ).
fof(f189,plain,
~ member(not_subclass_element(x,z),y),
inference(resolution,[],[f174,f160]) ).
fof(f192,plain,
~ member(not_subclass_element(x,z),x),
inference(resolution,[],[f189,f173]) ).
fof(f193,plain,
$false,
inference(forward_subsumption_resolution,[],[f192,f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:11:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 % (1915548)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (1915558)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2195772067:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (1915553)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3405813394_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (1915555)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=794694670:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (1915556)dis+10_1_sil=32000:sp=arity:random_seed=3651081889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (1915557)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2253060959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (1915559)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4268409932:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (1915554)% WARNING: option uhcvi not known.
% 0.11/0.46 % (1915557) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1915548-1915557"...
% 0.11/0.46 % (1915557)...printing done.
% 0.11/0.46 % (1915557)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (1915557)------------------------------
% 0.11/0.46 % (1915557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (1915557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (1915557)CaDiCaL version: 2.1.3
% 0.11/0.46 % (1915557)Termination reason: Refutation
% 0.11/0.46 % (1915557)Time elapsed: 0.007 s
% 0.11/0.46 % (1915557)Peak memory usage: 12 MB
% 0.11/0.46 % (1915557)Instructions burned: 10 (million)
% 0.11/0.46 % (1915548)Success in time 0.043 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------