%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET254-6 : 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 : n004.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 0.29s 0.46s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 29 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 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(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f122,negated_conjecture,
subclass(x1,x2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_1) ).
fof(f123,negated_conjecture,
~ subclass(restrict(x1,y,z),restrict(x2,y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_2) ).
fof(f186,plain,
~ subclass(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),
inference(definition_unfolding,[],[f123,f28,f28]) ).
fof(f195,plain,
member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x1,cross_product(y,z))),
inference(resolution,[],[f2,f186]) ).
fof(f196,plain,
~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),intersection(x2,cross_product(y,z))),
inference(resolution,[],[f3,f186]) ).
fof(f197,plain,
member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x1),
inference(resolution,[],[f21,f195]) ).
fof(f199,plain,
member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),cross_product(y,z)),
inference(resolution,[],[f22,f195]) ).
fof(f215,plain,
! [X0] :
( member(X0,x2)
| ~ member(X0,x1) ),
inference(resolution,[],[f1,f122]) ).
fof(f268,plain,
( ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),cross_product(y,z))
| ~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x2) ),
inference(resolution,[],[f23,f196]) ).
fof(f272,plain,
~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x2),
inference(forward_subsumption_resolution,[],[f268,f199]) ).
fof(f273,plain,
~ member(not_subclass_element(intersection(x1,cross_product(y,z)),intersection(x2,cross_product(y,z))),x1),
inference(resolution,[],[f272,f215]) ).
fof(f274,plain,
$false,
inference(forward_subsumption_resolution,[],[f273,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 01:13:22 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 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
% 0.29/0.46 % (4058695)Will run a generic schedule for satisfiability detection.
% 0.29/0.46 % (4058704)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=166030620:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.46 % (4058701)% WARNING: option uhcvi not known.
% 0.29/0.46 % (4058704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4058695-4058704"...
% 0.29/0.46 % (4058704)...printing done.
% 0.29/0.46 % (4058704)Refutation found. Thanks to Tanya!
% 0.29/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.46 % (4058704)------------------------------
% 0.29/0.46 % (4058704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (4058704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (4058704)CaDiCaL version: 2.1.3
% 0.29/0.46 % (4058704)Termination reason: Refutation
% 0.29/0.46 % (4058704)Time elapsed: 0.005 s
% 0.29/0.46 % (4058704)Peak memory usage: 12 MB
% 0.29/0.46 % (4058704)Instructions burned: 14 (million)
% 0.29/0.46 % (4058695)Success in time 0.033 s
% 0.29/0.46 % Vampire exiting
%------------------------------------------------------------------------------