%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027-7 : 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 : n005.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 0.12s 0.45s
% Output : Refutation 0.12s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f106,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
fof(f107,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
fof(f108,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
fof(f168,plain,
member(not_subclass_element(x,z),x),
inference(resolution,[],[f2,f108]) ).
fof(f169,plain,
~ member(not_subclass_element(x,z),z),
inference(resolution,[],[f3,f108]) ).
fof(f182,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f106]) ).
fof(f183,plain,
! [X0] :
( member(X0,z)
| ~ member(X0,y) ),
inference(resolution,[],[f1,f107]) ).
fof(f198,plain,
~ member(not_subclass_element(x,z),y),
inference(resolution,[],[f183,f169]) ).
fof(f201,plain,
~ member(not_subclass_element(x,z),x),
inference(resolution,[],[f198,f182]) ).
fof(f202,plain,
$false,
inference(forward_subsumption_resolution,[],[f201,f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:14:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (316682)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (316698)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=322225393:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (316695)% WARNING: option uhcvi not known.
% 0.12/0.45 % (316698) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-316682-316698"...
% 0.12/0.45 % (316698)...printing done.
% 0.12/0.45 % (316698)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (316698)------------------------------
% 0.12/0.45 % (316698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (316698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (316698)CaDiCaL version: 2.1.3
% 0.12/0.45 % (316698)Termination reason: Refutation
% 0.12/0.45 % (316698)Time elapsed: 0.004 s
% 0.12/0.45 % (316698)Peak memory usage: 12 MB
% 0.12/0.45 % (316698)Instructions burned: 11 (million)
% 0.12/0.45 % (316682)Success in time 0.031 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------