%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN109-1 : 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 : n002.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 09:21:19 AM UTC 2026
% Result : Unsatisfiable 14.59s 4.20s
% Output : CNFRefutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 15 unt; 0 nHn; 22 RR)
% Number of literals : 52 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 43 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ k2(b,c) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_007,axiom,
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ) ).
cnf(rule_110,axiom,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ) ).
cnf(rule_127,axiom,
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ) ).
cnf(rule_129,axiom,
( ~ q1(X1,X0,X0)
| k2(X0,X0) ) ).
cnf(c0,plain,
~ k2(b,c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c9,plain,
r0(b),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c26,plain,
n0(d,c),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c45,plain,
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_007]) ).
cnf(c148,plain,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_110]) ).
cnf(c165,plain,
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(clausification,[status(esa)],[rule_127]) ).
cnf(c167,plain,
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(clausification,[status(esa)],[rule_129]) ).
cnf(d0,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d1,plain,
k2(X0,X0),
inference(resolution,[status(thm)],[c167,d0]) ).
cnf(d2,plain,
( m1(X0,X1,X0)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[c45,c14]) ).
cnf(d3,plain,
( ~ k1(X2)
| ~ k2(X2,X1)
| k2(X0,X1)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[d2,c165]) ).
cnf(d4,plain,
( ~ k1(X1)
| ~ r0(X0)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ k1(c)
| ~ r0(b) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
~ k1(c),
inference(resolution,[status(thm)],[c9,d5]) ).
cnf(d7,plain,
k1(c),
inference(resolution,[status(thm)],[c39,c26]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:13:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.59/4.20 % SZS status Unsatisfiable for theBenchmark.p
% 14.59/4.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------