%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET057-6 : 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 : n020.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 12:42:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f101,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality2_1) ).
fof(f102,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality2_2) ).
fof(f103,negated_conjecture,
~ member(not_subclass_element(y,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality2_3) ).
fof(f157,plain,
subclass(y,x),
inference(resolution,[],[f2,f103]) ).
fof(f159,plain,
subclass(x,y),
inference(resolution,[],[f3,f101]) ).
fof(f186,plain,
( ~ subclass(x,y)
| x = y ),
inference(resolution,[],[f7,f157]) ).
fof(f187,plain,
x = y,
inference(forward_subsumption_resolution,[],[f186,f159]) ).
fof(f207,plain,
$false,
inference(forward_subsumption_resolution,[],[f187,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET057-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:24:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.45 % (3917415)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (3917420)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2287649975_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % (3917421)% WARNING: option uhcvi not known.
% 0.13/0.45 % (3917421)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2327309023:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45 % (3917425)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3231080232:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45 % (3917422)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3913159898:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45 % (3917423)dis+10_1_sil=32000:sp=arity:random_seed=4146470747:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45 % (3917424)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1693741382:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (3917426)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3191305286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (3917423) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3917415-3917423"...
% 0.13/0.45 % (3917421) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3917415-3917421"...
% 0.13/0.45 % (3917425) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3917415-3917425"...
% 0.13/0.45 % (3917423)...printing done.
% 0.13/0.45 % (3917421)...printing done.
% 0.13/0.45 % (3917423)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (3917423)------------------------------
% 0.13/0.45 % (3917423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (3917423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (3917423)CaDiCaL version: 2.1.3
% 0.13/0.45 % (3917423)Termination reason: Refutation
% 0.13/0.45 % (3917423)Time elapsed: 0.004 s
% 0.13/0.45 % (3917423)Peak memory usage: 11 MB
% 0.13/0.45 % (3917423)Instructions burned: 6 (million)
% 0.13/0.45 % (3917415)Success in time 0.038 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------