%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUN080+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:18:57 AM UTC 2026
% Result : Theorem 13.10s 18.57s
% Output : CNFRefutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 12 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 8 sgn 4 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ) ).
fof(axiom_5,axiom,
! [X0] : id(X0,X0) ).
fof(axiom_1a,axiom,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) )
& ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) ) ) ).
fof(xplustwoidy,conjecture,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) )
& r3(X0,X3,X2) )
& id(X2,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) )
& r3(X0,X3,X2) )
& id(X2,X1) ),
inference(negate_conjecture,[status(cth)],[xplustwoidy]) ).
cnf(c3,plain,
( ~ id(X0,sK0)
| r1(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c16,plain,
id(X0,X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c35,plain,
id(sK40(X0,X1),sK39(X0,X1)),
inference(clausification,[status(esa)],[axiom_1a]) ).
cnf(c36,plain,
r2(X0,sK41(X1,X0)),
inference(clausification,[status(esa)],[axiom_1a]) ).
cnf(c37,plain,
r3(X0,sK41(X0,X1),sK40(X0,X1)),
inference(clausification,[status(esa)],[axiom_1a]) ).
cnf(c58,plain,
( ~ r2(X1,X5)
| ~ r3(X4,X5,X2)
| ~ id(X2,X3)
| ~ r2(X0,X1)
| ~ r1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
r1(sK0),
inference(resolution,[status(thm)],[c3,c16]) ).
cnf(d1,plain,
( ~ r2(X4,sK41(X1,X2))
| ~ r2(X0,X4)
| ~ id(sK40(X1,X2),X3)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[c37,c58]) ).
cnf(d2,plain,
( ~ r2(X0,X2)
| ~ id(sK40(X1,X2),X3)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[d1,c36]) ).
cnf(d3,plain,
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[d2,c35]) ).
cnf(d4,plain,
~ r1(X0),
inference(resolution,[status(thm)],[d3,c36]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN080+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/15.67 % CPULimit : 300
% 0.13/15.67 % WCLimit : 300
% 0.13/15.67 % DateTime : Sat Sep 26 04:31:19 UTC 2026
% 0.13/15.67 % CPUTime :
% 0.13/15.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.10/18.57 % SZS status Theorem for theBenchmark.p
% 13.10/18.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------