%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:21:41 AM UTC 2026
% Result : Unsatisfiable 19.59s 3.47s
% Output : CNFRefutation 19.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 25 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 26 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p4(a,X0,X1) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_210,axiom,
( ~ n2(X0)
| k3(X0,X0,X0) ) ).
cnf(rule_287,axiom,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ) ).
cnf(c0,plain,
~ p4(a,X0,X1),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c175,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(clausification,[status(esa)],[rule_137]) ).
cnf(c248,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_210]) ).
cnf(c325,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_287]) ).
cnf(d0,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d1,plain,
n2(X0),
inference(resolution,[status(thm)],[d0,c175]) ).
cnf(d2,plain,
k3(X0,X0,X0),
inference(resolution,[status(thm)],[d1,c248]) ).
cnf(d3,plain,
p4(X0,X0,X0),
inference(resolution,[status(thm)],[c325,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n009.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 17:27:45 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.59/3.47 % SZS status Unsatisfiable for theBenchmark.p
% 19.59/3.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------