%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU153+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 : n002.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 12:52:08 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 46 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 11 |; 4 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f14,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f32,conjecture,
! [X0,X1] :
~ ( disjoint(singleton(X0),X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
~ ( disjoint(singleton(X0),X1)
& in(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f41,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f68,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f73,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f93,plain,
? [X0,X1] :
( disjoint(singleton(X0),X1)
& in(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f96,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f10]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f178,plain,
in(sK8,sK9),
inference(cnf_transformation,[],[f93]) ).
fof(f179,plain,
disjoint(singleton(sK8),sK9),
inference(cnf_transformation,[],[f93]) ).
fof(f191,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f223,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f68]) ).
fof(f229,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_difference(X0,X1) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f250,plain,
disjoint(unordered_pair(sK8,sK8),sK9),
inference(definition_unfolding,[],[f179,f223]) ).
fof(f278,plain,
! [X2,X3,X0] :
( in(X3,X2)
| unordered_pair(X0,X3) != X2 ),
inference(equality_resolution,[],[f144]) ).
fof(f279,plain,
! [X3,X0] : in(X3,unordered_pair(X0,X3)),
inference(equality_resolution,[],[f278]) ).
fof(f289,plain,
! [X3,X0,X1] :
( ~ in(X3,set_difference(X0,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f164]) ).
fof(f314,plain,
disjoint(sK9,unordered_pair(sK8,sK8)),
inference(resolution,[],[f191,f250]) ).
fof(f409,plain,
sK9 = set_difference(sK9,unordered_pair(sK8,sK8)),
inference(resolution,[],[f229,f314]) ).
fof(f512,plain,
! [X0] :
( ~ in(X0,unordered_pair(sK8,sK8))
| ~ in(X0,sK9) ),
inference(superposition,[],[f289,f409]) ).
fof(f514,plain,
~ in(sK8,sK9),
inference(resolution,[],[f512,f279]) ).
fof(f517,plain,
$false,
inference(forward_subsumption_resolution,[],[f514,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU153+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:49:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.47 % (4130297)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (4130306)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4237250700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (4130303)% WARNING: option uhcvi not known.
% 0.18/0.47 % (4130306) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4130297-4130306"...
% 0.18/0.47 % (4130306)...printing done.
% 0.18/0.47 % (4130302)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2752301805_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (4130303)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3994568902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (4130306)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (4130306)------------------------------
% 0.18/0.47 % (4130306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (4130306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (4130306)CaDiCaL version: 2.1.3
% 0.18/0.47 % (4130306)Termination reason: Refutation
% 0.18/0.47 % (4130306)Time elapsed: 0.006 s
% 0.18/0.47 % (4130306)Peak memory usage: 12 MB
% 0.18/0.47 % (4130306)Instructions burned: 15 (million)
% 0.18/0.47 % (4130297)Success in time 0.031 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------