%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN125-1 : 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 : n019.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 09:21:21 AM UTC 2026
% Result : Unsatisfiable 21.46s 3.27s
% Output : CNFRefutation 21.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 20 RR)
% Number of literals : 38 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ l3(e,c) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(rule_021,axiom,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ) ).
cnf(rule_176,axiom,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ) ).
cnf(rule_215,axiom,
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ) ).
cnf(c0,plain,
~ l3(e,c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c13,plain,
r0(e),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c24,plain,
l0(c),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c28,plain,
k0(e),
inference(clausification,[status(esa)],[axiom_28]) ).
cnf(c59,plain,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_021]) ).
cnf(c214,plain,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_176]) ).
cnf(c253,plain,
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
inference(clausification,[status(esa)],[rule_215]) ).
cnf(d0,plain,
( ~ k0(X0)
| ~ l0(X1)
| p2(X0,X1,X0) ),
inference(resolution,[status(thm)],[c214,c59]) ).
cnf(d1,plain,
( ~ r0(X1)
| l3(X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[d0,c253]) ).
cnf(d2,plain,
( ~ k0(e)
| ~ l0(c)
| ~ r0(e) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ k0(e)
| ~ l0(c) ),
inference(resolution,[status(thm)],[c13,d2]) ).
cnf(d4,plain,
~ k0(e),
inference(resolution,[status(thm)],[c24,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c28,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN125-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:13:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.46/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 21.46/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------