%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU134+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:51:02 PM UTC 2026
% Result : Theorem 3.86s 16.23s
% Output : Proof 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 37 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 15 ~; 11 |; 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(f13,axiom,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(f13_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)],[f13]) ).
fof(f13_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)],[f13_nnf]) ).
cnf(c16,plain,
( subset(X0,X1)
| set_difference(X0,X1) != empty_set ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f12,conjecture,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f12_neg,negated_conjecture,
~ ! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f12_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)],[f12_neg]) ).
fof(f12_sk,plain,
( ( subset(sk2,sk3)
& set_difference(sk2,sk3) != empty_set )
| ( ~ subset(sk2,sk3)
& set_difference(sk2,sk3) = empty_set ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f12_nnf]) ).
cnf(c13,plain,
( subset(sk2,sk3)
| set_difference(sk2,sk3) = empty_set ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p24,plain,
( subset(sk2,sk3)
| subset(sk2,sk3) ),
inference(resolution,[status(thm)],[c16,c13]) ).
cnf(p27,plain,
subset(sk2,sk3),
inference(factoring,[status(thm)],[p24]) ).
cnf(c17,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p29,plain,
set_difference(sk2,sk3) = empty_set,
inference(resolution,[status(thm)],[p27,c17]) ).
cnf(c14,plain,
( set_difference(sk2,sk3) != empty_set
| ~ subset(sk2,sk3) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p28,plain,
set_difference(sk2,sk3) != empty_set,
inference(resolution,[status(thm)],[p27,c14]) ).
cnf(p30,plain,
empty_set != empty_set,
inference(demodulation,[status(thm)],[p29,p28]) ).
cnf(p31,plain,
$false,
inference(equality_resolution,[status(thm)],[p30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU134+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/15.60 % Computer : n002.cluster.edu
% 0.11/15.60 % Model : x86_64 x86_64
% 0.11/15.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.60 % Memory : 8046.5625MB
% 0.11/15.60 % OS : Linux 6.8.0-71-generic
% 0.11/15.61 % CPULimit : 300
% 0.11/15.61 % WCLimit : 300
% 0.11/15.61 % DateTime : Thu Sep 24 12:55:24 UTC 2026
% 0.11/15.61 % CPUTime :
% 0.11/15.61 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.86/16.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.86/16.23 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------