%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:40:59 AM UTC 2026
% Result : Theorem 12.80s 2.06s
% Output : CNFRefutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 25 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 4 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ).
fof(d8_xboole_0,axiom,
! [X0,X1] :
( 'proper$usubset'(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [X0,X1] : ~ 'proper$usubset'(X0,X0) ).
fof(t60_xboole_1,conjecture,
! [X0,X1] :
~ ( 'proper$usubset'(X1,X0)
& subset(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
~ ( 'proper$usubset'(X1,X0)
& subset(X0,X1) ),
inference(negate_conjecture,[status(cth)],[t60_xboole_1]) ).
cnf(c6,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c47,plain,
( subset(X0,X1)
| ~ 'proper$usubset'(X0,X1) ),
inference(clausification,[status(esa)],[d8_xboole_0]) ).
cnf(c55,plain,
~ 'proper$usubset'(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_r2_xboole_0]) ).
cnf(c96,plain,
subset(sK114,sK115),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c97,plain,
'proper$usubset'(sK115,sK114),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(sK115,sK114)
| sK114 = sK115 ),
inference(resolution,[status(thm)],[c6,c96]) ).
cnf(d1,plain,
subset(sK115,sK114),
inference(resolution,[status(thm)],[c47,c97]) ).
cnf(d2,plain,
sK114 = sK115,
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'proper$usubset'(sK114,sK114),
inference(demodulation,[status(thm)],[c97,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c55,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.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 08:37:09 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.80/2.06 % SZS status Theorem for theBenchmark.p
% 12.80/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------