%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Sun Sep 27 08:41:02 AM UTC 2026
% Result : Theorem 13.96s 2.19s
% Output : CNFRefutation 13.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_tarski,axiom,
! [X0,X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0) ).
fof(t8_zfmisc_1,axiom,
! [X0,X1,X2] :
( singleton(X0) = 'unordered$upair'(X1,X2)
=> X0 = X1 ) ).
fof(t9_zfmisc_1,conjecture,
! [X0,X1,X2] :
( singleton(X0) = 'unordered$upair'(X1,X2)
=> X1 = X2 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( singleton(X0) = 'unordered$upair'(X1,X2)
=> X1 = X2 ),
inference(negate_conjecture,[status(cth)],[t9_zfmisc_1]) ).
cnf(c0,plain,
'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k2_tarski]) ).
cnf(c3,plain,
( X0 = X1
| singleton(X0) != 'unordered$upair'(X1,X2) ),
inference(clausification,[status(esa)],[t8_zfmisc_1]) ).
cnf(c4,plain,
singleton(sK7) = 'unordered$upair'(sK8,sK9),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
sK8 != sK9,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( X2 = X0
| singleton(X2) != 'unordered$upair'(X1,X0) ),
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
( X0 = sK8
| singleton(X0) != singleton(sK7) ),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d2,plain,
sK7 = sK8,
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
singleton(sK8) = 'unordered$upair'(sK8,sK9),
inference(demodulation,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( X0 = sK9
| singleton(X0) != singleton(sK8) ),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
sK8 = sK9,
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c5,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n012.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:40:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.96/2.19 % SZS status Theorem for theBenchmark.p
% 13.96/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------