%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU134+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 : Fri Sep 25 02:51:02 PM UTC 2026
% Result : Theorem 35.09s 4.96s
% Output : Proof 35.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 38 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 12 |; 6 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f36_neg,negated_conjecture,
~ ! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f36_nnf,plain,
? [A,B] :
( ( subset(A,B)
& set_difference(A,B) != empty_set )
| ( ~ subset(A,B)
& set_difference(A,B) = empty_set ) ),
inference(nnf_transformation,[status(thm)],[f36_neg]) ).
fof(f36_sk,plain,
( ( subset(sk8,sk9)
& set_difference(sk8,sk9) != empty_set )
| ( ~ subset(sk8,sk9)
& set_difference(sk8,sk9) = empty_set ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9])],[f36_nnf]) ).
cnf(c71,plain,
( subset(sk8,sk9)
| set_difference(sk8,sk9) = empty_set ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
fof(f19,lemma,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(f19_nnf,plain,
! [A,B] :
( ( ~ subset(A,B)
| set_difference(A,B) = empty_set )
& ( subset(A,B)
| set_difference(A,B) != empty_set ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [A,B] :
( ( ~ subset(A,B)
| set_difference(A,B) = empty_set )
& ( subset(A,B)
| set_difference(A,B) != empty_set ) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c49,plain,
( subset(X0,X1)
| set_difference(X0,X1) != empty_set ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p164,plain,
( subset(sk8,sk9)
| subset(sk8,sk9) ),
inference(resolution,[status(thm)],[c71,c49]) ).
cnf(p165,plain,
subset(sk8,sk9),
inference(factoring,[status(thm)],[p164]) ).
cnf(c50,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p167,plain,
set_difference(sk8,sk9) = empty_set,
inference(resolution,[status(thm)],[p165,c50]) ).
cnf(c72,plain,
( set_difference(sk8,sk9) != empty_set
| ~ subset(sk8,sk9) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p168,plain,
( empty_set != empty_set
| ~ subset(sk8,sk9) ),
inference(demodulation,[status(thm)],[p167,c72]) ).
cnf(p180,plain,
~ subset(sk8,sk9),
inference(equality_resolution,[status(thm)],[p168]) ).
cnf(p181,plain,
$false,
inference(resolution,[status(thm)],[p180,p165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU134+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 12:53:02 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.09/4.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.09/4.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------