%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:52:13 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 15 ~; 10 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(f5,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f9,plain,
! [X0,X1,X2] :
( ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X0,X1)
& subset(X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f11,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X0,X1)
& subset(X2,X3) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f12]) ).
fof(f16,plain,
( ~ subset(cartesian_product2(sK2,sK4),cartesian_product2(sK3,sK5))
& subset(sK2,sK3)
& subset(sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f11]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
~ subset(cartesian_product2(sK2,sK4),cartesian_product2(sK3,sK5)),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0] : subset(cartesian_product2(X0,sK4),cartesian_product2(X0,sK5)),
inference(resolution,[],[f20,f22]) ).
fof(f34,plain,
! [X0] : subset(cartesian_product2(sK2,X0),cartesian_product2(sK3,X0)),
inference(resolution,[],[f21,f23]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(cartesian_product2(X0,sK5),X1)
| subset(cartesian_product2(X0,sK4),X1) ),
inference(resolution,[],[f29,f25]) ).
fof(f50,plain,
subset(cartesian_product2(sK2,sK4),cartesian_product2(sK3,sK5)),
inference(resolution,[],[f39,f34]) ).
fof(f52,plain,
$false,
inference(forward_subsumption_resolution,[],[f50,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU167+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.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 03:52:04 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
% 0.11/0.44 % (3643196)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (3643206)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2373542750:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.44 % (3643206) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3643196-3643206"...
% 0.11/0.44 % (3643206)...printing done.
% 0.11/0.44 % (3643206)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (3643206)------------------------------
% 0.11/0.44 % (3643206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (3643206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (3643206)CaDiCaL version: 2.1.3
% 0.11/0.44 % (3643206)Termination reason: Refutation
% 0.11/0.44 % (3643206)Time elapsed: 0.001 s
% 0.11/0.44 % (3643206)Peak memory usage: 11 MB
% 0.11/0.44 % (3643206)Instructions burned: 1 (million)
% 0.11/0.44 % (3643196)Success in time 0.028 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------