%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN293-1 : 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 : n005.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 09:21:44 AM UTC 2026
% Result : Unsatisfiable 11.46s 4.25s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 0 equ; 15 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ q1(d,d,a) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_17,axiom,
q0(X0,d) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_109,axiom,
( ~ k1(X0)
| ~ q0(X1,X0)
| ~ p0(X2,X2)
| q1(X0,X0,X1) ) ).
cnf(c0,plain,
~ q1(d,d,a),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c17,plain,
q0(X0,d),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c34,plain,
n0(c,d),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c147,plain,
( ~ k1(X0)
| ~ q0(X1,X0)
| ~ p0(X2,X2)
| q1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_109]) ).
cnf(d0,plain,
( ~ k1(X0)
| ~ q0(X1,X0)
| q1(X0,X0,X1) ),
inference(resolution,[status(thm)],[c147,c14]) ).
cnf(d1,plain,
( ~ k1(d)
| ~ q0(a,d) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
~ k1(d),
inference(resolution,[status(thm)],[c17,d1]) ).
cnf(d3,plain,
k1(d),
inference(resolution,[status(thm)],[c39,c34]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN293-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 17:30:32 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.46/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 11.46/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------