%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN166-1 : 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 : n014.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 09:21:27 AM UTC 2026
% Result : Unsatisfiable 20.81s 7.93s
% Output : CNFRefutation 20.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 16 RR)
% Number of literals : 37 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p1(a,b,b) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_12,axiom,
m0(a,X0,a) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(axiom_38,axiom,
m0(b,a,a) ).
cnf(rule_066,axiom,
( ~ n0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_082,axiom,
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ) ).
cnf(rule_087,axiom,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ) ).
cnf(c0,plain,
~ p1(a,b,b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c9,plain,
r0(b),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c12,plain,
m0(a,X0,a),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c38,plain,
m0(b,a,a),
inference(clausification,[status(esa)],[axiom_38]) ).
cnf(c104,plain,
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_066]) ).
cnf(c120,plain,
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
inference(clausification,[status(esa)],[rule_082]) ).
cnf(c125,plain,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ),
inference(clausification,[status(esa)],[rule_087]) ).
cnf(d0,plain,
( ~ p1(b,a,a)
| p1(a,X0,b) ),
inference(resolution,[status(thm)],[c120,c38]) ).
cnf(d1,plain,
( p1(a,b,a)
| ~ p1(a,a,a) ),
inference(resolution,[status(thm)],[c9,c125]) ).
cnf(d2,plain,
p1(a,a,a),
inference(resolution,[status(thm)],[c104,c37]) ).
cnf(d3,plain,
p1(a,b,a),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ p1(a,X0,a)
| p1(X0,X1,a) ),
inference(resolution,[status(thm)],[c120,c12]) ).
cnf(d5,plain,
p1(b,X0,a),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
p1(a,X0,b),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 17:17:22 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.81/7.93 % SZS status Unsatisfiable for theBenchmark.p
% 20.81/7.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------