%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN264-1 : 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 : n026.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 30.49s 4.52s
% Output : CNFRefutation 30.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 20 RR)
% Number of literals : 38 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 23 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p1(e,c,e) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(rule_063,axiom,
( ~ k0(X1)
| ~ n0(d,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(e,c,e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c5,plain,
s0(b),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c20,plain,
l0(a),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c26,plain,
n0(d,c),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c28,plain,
k0(e),
inference(clausification,[status(esa)],[axiom_28]) ).
cnf(c101,plain,
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_063]) ).
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,
( ~ k0(X0)
| ~ n0(d,X1)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(resolution,[status(thm)],[d0,c101]) ).
cnf(d2,plain,
( ~ k0(X0)
| ~ l0(X1)
| p1(X0,c,X0) ),
inference(resolution,[status(thm)],[d1,c26]) ).
cnf(d3,plain,
( ~ l0(X0)
| p1(e,c,e) ),
inference(resolution,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
~ l0(X0),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n026.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 17:30:27 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.49/4.52 % SZS status Unsatisfiable for theBenchmark.p
% 30.49/4.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------