%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN249-1 : 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 : n008.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 09:21:39 AM UTC 2026
% Result : Unsatisfiable 18.80s 3.15s
% Output : CNFRefutation 18.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 29 ( 0 equ; 14 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m1(d,e,e) ).
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_17,axiom,
q0(X0,d) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_034,axiom,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ) ).
cnf(c0,plain,
~ m1(d,e,e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c3,plain,
n0(d,e),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c17,plain,
q0(X0,d),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c72,plain,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_034]) ).
cnf(d0,plain,
k1(a),
inference(resolution,[status(thm)],[c39,c37]) ).
cnf(d1,plain,
( ~ k1(X1)
| ~ q0(X0,X0)
| m1(X0,X1,X1) ),
inference(resolution,[status(thm)],[d0,c72]) ).
cnf(d2,plain,
( ~ k1(X0)
| m1(d,X0,X0) ),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d3,plain,
~ k1(e),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:27:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 18.80/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------