%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN137-1 : 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 : n016.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 09:21:23 AM UTC 2026
% Result : Unsatisfiable 23.31s 23.66s
% Output : CNFRefutation 23.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 25 unt; 0 nHn; 39 RR)
% Number of literals : 106 ( 0 equ; 56 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 59 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m3(b,c,b) ).
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_17,axiom,
q0(X0,d) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_125,axiom,
( ~ p0(X0,X0)
| s1(X0) ) ).
cnf(rule_126,axiom,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ) ).
cnf(rule_131,axiom,
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ) ).
cnf(rule_133,axiom,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ) ).
cnf(rule_183,axiom,
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ) ).
cnf(rule_237,axiom,
( ~ q2(X0,c,c)
| ~ s2(c)
| m3(X0,c,X0) ) ).
cnf(c0,plain,
~ m3(b,c,b),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c11,plain,
n0(e,b),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c15,plain,
n0(a,b),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c17,plain,
q0(X0,d),
inference(clausification,[status(esa)],[axiom_17]) ).
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(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(c163,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(clausification,[status(esa)],[rule_125]) ).
cnf(c164,plain,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(clausification,[status(esa)],[rule_126]) ).
cnf(c169,plain,
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(clausification,[status(esa)],[rule_131]) ).
cnf(c171,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(clausification,[status(esa)],[rule_133]) ).
cnf(c221,plain,
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
inference(clausification,[status(esa)],[rule_183]) ).
cnf(c227,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(clausification,[status(esa)],[rule_189]) ).
cnf(c275,plain,
( ~ q2(X0,c,c)
| ~ s2(c)
| m3(X0,c,X0) ),
inference(clausification,[status(esa)],[rule_237]) ).
cnf(d0,plain,
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[c24,c221]) ).
cnf(d1,plain,
( ~ l2(c,X0)
| ~ k1(c)
| ~ s2(c)
| m3(X0,c,X0) ),
inference(resolution,[status(thm)],[c275,d0]) ).
cnf(d2,plain,
k1(c),
inference(resolution,[status(thm)],[c39,c26]) ).
cnf(d3,plain,
( ~ s2(c)
| ~ l2(c,X0)
| m3(X0,c,X0) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d5,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d6,plain,
s1(X0),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( s2(X0)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[d6,c227]) ).
cnf(d8,plain,
( ~ l2(b,b)
| ~ k1(b)
| s2(c) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
k1(b),
inference(resolution,[status(thm)],[c39,c15]) ).
cnf(d10,plain,
( s2(c)
| ~ l2(b,b) ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( l2(X1,X1)
| ~ s1(d)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[c171,c19]) ).
cnf(d12,plain,
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
l2(X0,X0),
inference(resolution,[status(thm)],[d12,c14]) ).
cnf(d14,plain,
s2(c),
inference(resolution,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
( ~ l2(c,X0)
| m3(X0,c,X0) ),
inference(resolution,[status(thm)],[d14,d3]) ).
cnf(d16,plain,
~ l2(c,b),
inference(resolution,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
( l2(X1,X0)
| ~ l2(X0,X0)
| ~ n0(e,X0) ),
inference(resolution,[status(thm)],[d6,c169]) ).
cnf(d18,plain,
( l2(X1,X0)
| ~ n0(e,X0) ),
inference(resolution,[status(thm)],[d13,d17]) ).
cnf(d19,plain,
l2(X0,b),
inference(resolution,[status(thm)],[d18,c11]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/20.43 % CPULimit : 300
% 0.10/20.43 % WCLimit : 300
% 0.10/20.43 % DateTime : Sat Sep 26 17:15:05 UTC 2026
% 0.10/20.44 % CPUTime :
% 0.10/20.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.31/23.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.31/23.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------