%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN234-1 : 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 : n018.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 09:21:37 AM UTC 2026
% Result : Unsatisfiable 18.16s 2.91s
% Output : CNFRefutation 18.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 15 RR)
% Number of literals : 32 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ l3(e,a) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_092,axiom,
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ) ).
cnf(rule_141,axiom,
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ) ).
cnf(rule_215,axiom,
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ) ).
cnf(c0,plain,
~ l3(e,a),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c13,plain,
r0(e),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c130,plain,
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_092]) ).
cnf(c179,plain,
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
inference(clausification,[status(esa)],[rule_141]) ).
cnf(c253,plain,
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
inference(clausification,[status(esa)],[rule_215]) ).
cnf(d0,plain,
( q1(X2,X1,X2)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[c130,c14]) ).
cnf(d1,plain,
q1(X0,a,X0),
inference(resolution,[status(thm)],[d0,c37]) ).
cnf(d2,plain,
p2(X0,a,X0),
inference(resolution,[status(thm)],[d1,c179]) ).
cnf(d3,plain,
( ~ r0(X0)
| l3(X0,a) ),
inference(resolution,[status(thm)],[d2,c253]) ).
cnf(d4,plain,
~ r0(e),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c13,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN234-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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 17:27:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.16/2.91 % SZS status Unsatisfiable for theBenchmark.p
% 18.16/2.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------