%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 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 09:34:22 AM UTC 2026
% Result : Theorem 9.39s 2.57s
% Output : CNFRefutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 53 ( 13 ~; 20 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 2 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X0] :
? [X1,X2,X3,X4,X5] :
( ( ( s(X0,X5)
=> p(X5) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X1)
=> ( s(X1,f(X1))
| g(X1) ) )
& e(X0)
& p(X0) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1,X2,X3,X4,X5] :
( ( ( s(X0,X5)
=> p(X5) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X1)
=> ( s(X1,f(X1))
| g(X1) ) )
& e(X0)
& p(X0) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
p(sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
e(sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( s(X0,f(X0))
| g(X0)
| ~ e(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( c(f(X0))
| g(X0)
| ~ e(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( p(X0)
| ~ s(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( ~ g(X0)
| ~ p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( ~ c(X0)
| ~ p(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ p(f(X0))
| g(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(d1,plain,
( g(sK0)
| ~ e(sK0)
| p(f(sK0)) ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d2,plain,
( g(sK0)
| p(f(sK0)) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( g(sK0)
| ~ e(sK0)
| g(sK0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
g(sK0),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
~ p(sK0),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c0,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n020.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 18:52:03 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.39/2.57 % SZS status Theorem for theBenchmark.p
% 9.39/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------