%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET881+1 : 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 : n014.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 12:44:54 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 5 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,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(f5,axiom,
! [X0,X1] :
( set_difference(singleton(X0),X1) = empty_set
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f8,conjecture,
! [X0,X1] : set_difference(singleton(X0),unordered_pair(X0,X1)) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] : set_difference(singleton(X0),unordered_pair(X0,X1)) = empty_set,
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f11,plain,
? [X0,X1] : empty_set != set_difference(singleton(X0),unordered_pair(X0,X1)),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( X0 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
empty_set != set_difference(singleton(sK3),unordered_pair(sK3,sK4)),
inference(cnf_transformation,[],[f11]) ).
fof(f26,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f19]) ).
fof(f27,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f26]) ).
fof(f35,plain,
! [X0,X1] : empty_set = set_difference(singleton(X0),unordered_pair(X0,X1)),
inference(resolution,[],[f21,f27]) ).
fof(f42,plain,
empty_set != empty_set,
inference(superposition,[],[f25,f35]) ).
fof(f43,plain,
$false,
inference(trivial_inequality_removal,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET881+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:06:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (1398492)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (1398501)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2440846585:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (1398501) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1398492-1398501"...
% 0.09/0.44 % (1398501)...printing done.
% 0.09/0.44 % (1398501)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (1398501)------------------------------
% 0.09/0.44 % (1398501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (1398501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (1398501)CaDiCaL version: 2.1.3
% 0.09/0.44 % (1398501)Termination reason: Refutation
% 0.09/0.44 % (1398501)Time elapsed: 0.001 s
% 0.09/0.44 % (1398501)Peak memory usage: 12 MB
% 0.09/0.44 % (1398501)Instructions burned: 1 (million)
% 0.09/0.44 % (1398492)Success in time 0.026 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------