%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:52:03 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 21 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f38,axiom,
! [X0,X1] : set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f43,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> X1 = set_union2(X0,set_difference(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(f44,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> X1 = set_union2(X0,set_difference(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f62,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f73,plain,
? [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f108,plain,
( sK10 != set_union2(sK9,set_difference(sK10,sK9))
& subset(sK9,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f73]) ).
fof(f152,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f167,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f174,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f108]) ).
fof(f175,plain,
sK10 != set_union2(sK9,set_difference(sK10,sK9)),
inference(cnf_transformation,[],[f108]) ).
fof(f271,plain,
sK10 = set_union2(sK9,sK10),
inference(resolution,[],[f152,f174]) ).
fof(f442,plain,
sK10 != set_union2(sK9,sK10),
inference(superposition,[],[f175,f167]) ).
fof(f451,plain,
$false,
inference(forward_subsumption_resolution,[],[f442,f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.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 03:41:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2994723)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2994731)dis+10_1_sil=32000:sp=arity:random_seed=4260164784:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (2994729)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2994731) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2994723-2994731"...
% 0.12/0.45 % (2994731)...printing done.
% 0.12/0.45 % (2994731)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (2994731)------------------------------
% 0.12/0.45 % (2994731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2994731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2994731)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2994731)Termination reason: Refutation
% 0.12/0.45 % (2994731)Time elapsed: 0.005 s
% 0.12/0.45 % (2994731)Peak memory usage: 12 MB
% 0.12/0.45 % (2994731)Instructions burned: 10 (million)
% 0.12/0.45 % (2994723)Success in time 0.032 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------