%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 09:21:40 AM UTC 2026
% Result : Unsatisfiable 19.95s 2.95s
% Output : CNFRefutation 19.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 30 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p1(b,c,b) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(rule_069,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X1) ) ).
cnf(rule_071,axiom,
( ~ s0(b)
| ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ) ).
cnf(c0,plain,
~ p1(b,c,b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c5,plain,
s0(b),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c20,plain,
l0(a),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c107,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_069]) ).
cnf(c109,plain,
( ~ s0(b)
| ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_071]) ).
cnf(d0,plain,
( ~ l0(X3)
| ~ p1(X1,X2,X0)
| p1(X0,X1,X0) ),
inference(resolution,[status(thm)],[c5,c109]) ).
cnf(d1,plain,
( ~ p0(X0,X1)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(resolution,[status(thm)],[d0,c107]) ).
cnf(d2,plain,
( ~ l0(X1)
| p1(b,X0,b) ),
inference(resolution,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
p1(b,X0,b),
inference(resolution,[status(thm)],[d2,c20]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:32:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.95/2.95 % SZS status Unsatisfiable for theBenchmark.p
% 19.95/2.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------