%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET867+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:44:53 PM UTC 2026
% Result : Theorem 0.13s 10.48s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 5 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f7,conjecture,
union(empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_zfmisc_1) ).
fof(f8,negated_conjecture,
union(empty_set) != empty_set,
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
empty_set != union(empty_set),
inference(flattening,[],[f8]) ).
fof(f12,plain,
! [X0] :
( in(sK0(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X2,X0,X1] :
( in(sK2(X0,X2),X0)
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
empty_set != union(empty_set),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f13]) ).
fof(f27,plain,
! [X2,X0] :
( in(sK2(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f17]) ).
fof(f31,plain,
! [X0] : ~ in(X0,union(empty_set)),
inference(resolution,[],[f27,f24]) ).
fof(f33,plain,
empty_set = union(empty_set),
inference(resolution,[],[f31,f12]) ).
fof(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f33,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET867+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/10.41 % Computer : n010.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.41 % CPULimit : 300
% 0.13/10.41 % WCLimit : 300
% 0.13/10.41 % DateTime : Mon Sep 28 03:05:12 UTC 2026
% 0.13/10.41 % CPUTime :
% 0.13/10.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/10.44 Running first-order model finding
% 0.13/10.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.48 % (1525165)Will run a generic schedule for satisfiability detection.
% 0.13/10.48 % (1525171)% WARNING: option uhcvi not known.
% 0.13/10.48 % (1525171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1154715270:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/10.48 % (1525171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1525165-1525171"...
% 0.13/10.48 % (1525171)...printing done.
% 0.13/10.48 % (1525171)Refutation found. Thanks to Tanya!
% 0.13/10.48 % SZS status Theorem for theBenchmark
% 0.13/10.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/10.48 % (1525171)------------------------------
% 0.13/10.48 % (1525171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/10.48 % (1525171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/10.48 % (1525171)CaDiCaL version: 2.1.3
% 0.13/10.48 % (1525171)Termination reason: Refutation
% 0.13/10.48 % (1525171)Time elapsed: 0.001 s
% 0.13/10.48 % (1525171)Peak memory usage: 11 MB
% 0.13/10.48 % (1525171)Instructions burned: 1 (million)
% 0.13/10.48 % (1525165)Success in time 0.025 s
% 0.13/10.48 % Vampire exiting
%------------------------------------------------------------------------------