%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN980+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 09:34:27 AM UTC 2026
% Result : Theorem 8.05s 1.48s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 9 ~; 8 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 15 ( 3 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X0] :
( ! [X1] :
( ( r(X0)
=> r(X1) )
=> p(f(X1),X1) )
=> ? [X2,X1] :
( ( q(f(X0),X0)
=> q(X2,X1) )
& p(X2,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ( r(X0)
=> r(X1) )
=> p(f(X1),X1) )
=> ? [X2,X1] :
( ( q(f(X0),X0)
=> q(X2,X1) )
& p(X2,X1) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
( p(f(X0),X0)
| r(sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( p(f(X0),X0)
| ~ r(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( q(f(sK0),sK0)
| ~ p(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ q(X0,X1)
| ~ p(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ r(X0)
| q(f(sK0),sK0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( r(sK0)
| q(f(sK0),sK0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d2,plain,
( ~ p(f(sK0),sK0)
| r(sK0) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( r(sK0)
| r(sK0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
q(f(sK0),sK0),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
~ p(f(sK0),sK0),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
~ r(sK0),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d3,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN980+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.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 18:48:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.05/1.48 % SZS status Theorem for theBenchmark.p
% 8.05/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------