%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN065+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:21:01 AM UTC 2026
% Result : Theorem 9.24s 6.52s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 1 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel36_1,axiom,
! [X0] :
? [X1] : 'big$uf'(X0,X1) ).
fof(pel36_3,axiom,
! [X0,X1] :
( ( 'big$ug'(X0,X1)
| 'big$uf'(X0,X1) )
=> ! [X2] :
( ( 'big$ug'(X1,X2)
| 'big$uf'(X1,X2) )
=> 'big$uh'(X0,X2) ) ) ).
fof(pel36,conjecture,
! [X0] :
? [X1] : 'big$uh'(X0,X1) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1] : 'big$uh'(X0,X1),
inference(negate_conjecture,[status(cth)],[pel36]) ).
cnf(c0,plain,
'big$uf'(X0,sK1(X0)),
inference(clausification,[status(esa)],[pel36_1]) ).
cnf(c2,plain,
( 'big$uh'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[pel36_3]) ).
cnf(c6,plain,
~ 'big$uh'(sK7,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uh'(X0,X1)
| ~ 'big$uf'(sK1(X0),X1) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$uh'(X0,sK1(sK1(X0))),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN065+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n020.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 26 17:09:40 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.24/6.52 % SZS status Theorem for theBenchmark.p
% 9.24/6.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------