%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN111-1 : 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 : n004.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 21.91s 3.08s
% Output : CNFRefutation 21.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 22 unt; 0 nHn; 36 RR)
% Number of literals : 71 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 43 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ k2(c,b) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_005,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ) ).
cnf(rule_021,axiom,
( ~ k0(X1)
| ~ l0(X0)
| 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(c,b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c15,plain,
n0(a,b),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c24,plain,
l0(c),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c31,plain,
m0(b,b,e),
inference(clausification,[status(esa)],[axiom_31]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c43,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_005]) ).
cnf(c59,plain,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_021]) ).
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,
( ~ k0(X1)
| ~ l0(X0)
| ~ k1(X2)
| ~ k2(X2,X1)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[c165,c59]) ).
cnf(d1,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d2,plain,
k2(X0,X0),
inference(resolution,[status(thm)],[c167,d1]) ).
cnf(d3,plain,
m1(e,b,e),
inference(resolution,[status(thm)],[c43,c31]) ).
cnf(d4,plain,
( ~ k1(X0)
| ~ k2(X0,b)
| k2(e,b) ),
inference(resolution,[status(thm)],[c165,d3]) ).
cnf(d5,plain,
( ~ k1(b)
| k2(e,b) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
k1(b),
inference(resolution,[status(thm)],[c39,c15]) ).
cnf(d7,plain,
k2(e,b),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ k1(e)
| ~ k0(b)
| ~ l0(X0)
| k2(X0,b) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ k1(e)
| ~ l0(X0)
| k2(X0,b) ),
inference(resolution,[status(thm)],[c32,d8]) ).
cnf(d10,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c30]) ).
cnf(d11,plain,
( ~ l0(X0)
| k2(X0,b) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
~ l0(c),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c24,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:12:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.91/3.08 % SZS status Unsatisfiable for theBenchmark.p
% 21.91/3.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------