%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN285-1 : 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 09:21:43 AM UTC 2026
% Result : Unsatisfiable 20.56s 8.05s
% Output : CNFRefutation 20.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 40 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ q1(a,d,d) ).
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_099,axiom,
( ~ q1(X1,X1,X2)
| ~ l0(X0)
| ~ k0(X2)
| q1(X0,X1,X1) ) ).
cnf(rule_105,axiom,
( ~ p0(X1,d)
| ~ s0(X0)
| q1(X0,X0,X1) ) ).
cnf(c0,plain,
~ q1(a,d,d),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c1,plain,
s0(d),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c20,plain,
l0(a),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c137,plain,
( ~ q1(X1,X1,X2)
| ~ l0(X0)
| ~ k0(X2)
| q1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_099]) ).
cnf(c143,plain,
( ~ p0(X1,d)
| ~ s0(X0)
| q1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_105]) ).
cnf(d0,plain,
( ~ k0(X1)
| ~ l0(X2)
| q1(X2,X0,X0)
| ~ p0(X1,d)
| ~ s0(X0) ),
inference(resolution,[status(thm)],[c143,c137]) ).
cnf(d1,plain,
( ~ k0(b)
| ~ l0(X0)
| ~ s0(X1)
| q1(X0,X1,X1) ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( ~ l0(X0)
| ~ s0(X1)
| q1(X0,X1,X1) ),
inference(resolution,[status(thm)],[c32,d1]) ).
cnf(d3,plain,
( ~ l0(a)
| ~ s0(d) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
~ l0(a),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c20,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n026.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 17:33:01 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.56/8.05 % SZS status Unsatisfiable for theBenchmark.p
% 20.56/8.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------