%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN115-1 : 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 : n015.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 09:21:20 AM UTC 2026
% Result : Unsatisfiable 22.18s 5.33s
% Output : CNFRefutation 22.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 79 ( 35 unt; 0 nHn; 63 RR)
% Number of literals : 154 ( 0 equ; 82 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 99 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ k4(c) ).
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_17,axiom,
q0(X0,d) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_006,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ) ).
cnf(rule_036,axiom,
( ~ m0(b,X1,X0)
| n1(X0,X0,X1) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_110,axiom,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ) ).
cnf(rule_124,axiom,
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ) ).
cnf(rule_125,axiom,
( ~ p0(X0,X0)
| s1(X0) ) ).
cnf(rule_126,axiom,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ) ).
cnf(rule_150,axiom,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ) ).
cnf(rule_187,axiom,
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ) ).
cnf(rule_240,axiom,
( ~ p2(X1,X2,X0)
| n3(X0) ) ).
cnf(rule_255,axiom,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ) ).
cnf(rule_257,axiom,
( ~ q3(X1,X0)
| ~ s2(X0)
| ~ n1(X2,X0,X1)
| q3(X0,X1) ) ).
cnf(rule_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ) ).
cnf(c0,plain,
~ k4(c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c1,plain,
s0(d),
inference(clausification,[status(esa)],[axiom_1]) ).
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(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(c28,plain,
k0(e),
inference(clausification,[status(esa)],[axiom_28]) ).
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(c34,plain,
n0(c,d),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c44,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_006]) ).
cnf(c74,plain,
( ~ m0(b,X1,X0)
| n1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_036]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c148,plain,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_110]) ).
cnf(c162,plain,
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(clausification,[status(esa)],[rule_124]) ).
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(c188,plain,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_150]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c225,plain,
( q2(X3,X0,X3)
| ~ m0(X1,X2,X3)
| ~ q2(X0,X0,X0)
| ~ r1(X0)
| ~ k0(X0) ),
inference(clausification,[status(esa)],[rule_187]) ).
cnf(c227,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(clausification,[status(esa)],[rule_189]) ).
cnf(c278,plain,
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(clausification,[status(esa)],[rule_240]) ).
cnf(c293,plain,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(clausification,[status(esa)],[rule_255]) ).
cnf(c295,plain,
( ~ q3(X1,X0)
| ~ s2(X0)
| ~ n1(X2,X0,X1)
| q3(X0,X1) ),
inference(clausification,[status(esa)],[rule_257]) ).
cnf(c312,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(clausification,[status(esa)],[rule_274]) ).
cnf(d0,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d1,plain,
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ),
inference(resolution,[status(thm)],[c1,c162]) ).
cnf(d2,plain,
( r1(X0)
| ~ q0(X0,d) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
r1(X0),
inference(resolution,[status(thm)],[c17,d2]) ).
cnf(d4,plain,
( ~ q2(X3,X3,X3)
| q2(X2,X3,X2)
| ~ k0(X3)
| ~ m0(X0,X1,X2) ),
inference(resolution,[status(thm)],[d3,c225]) ).
cnf(d5,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d6,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d5,c219]) ).
cnf(d7,plain,
( q2(X2,X3,X2)
| ~ k0(X3)
| ~ m0(X0,X1,X2) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( q2(X1,X0,X1)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d7,c19]) ).
cnf(d9,plain,
( q3(X0,X1)
| ~ n0(X1,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d8,c293]) ).
cnf(d10,plain,
( q3(b,e)
| ~ k0(b) ),
inference(resolution,[status(thm)],[d9,c11]) ).
cnf(d11,plain,
q3(b,e),
inference(resolution,[status(thm)],[c32,d10]) ).
cnf(d12,plain,
n1(e,e,b),
inference(resolution,[status(thm)],[c74,c31]) ).
cnf(d13,plain,
( q3(e,b)
| ~ q3(b,e)
| ~ s2(e) ),
inference(resolution,[status(thm)],[c295,d12]) ).
cnf(d14,plain,
( ~ q3(e,b)
| ~ n3(e)
| ~ n0(c,d) ),
inference(resolution,[status(thm)],[c0,c312]) ).
cnf(d15,plain,
( ~ q3(e,b)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c34,d14]) ).
cnf(d16,plain,
m1(X0,X0,X0),
inference(resolution,[status(thm)],[c44,c19]) ).
cnf(d17,plain,
p2(X0,X0,X0),
inference(resolution,[status(thm)],[c188,d16]) ).
cnf(d18,plain,
n3(X0),
inference(resolution,[status(thm)],[c278,d17]) ).
cnf(d19,plain,
~ q3(e,b),
inference(resolution,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
( ~ q3(b,e)
| ~ s2(e) ),
inference(resolution,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d22,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d23,plain,
s1(X0),
inference(resolution,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( s2(X0)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[d23,c227]) ).
cnf(d25,plain,
( s2(X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d8,d24]) ).
cnf(d26,plain,
s2(e),
inference(resolution,[status(thm)],[d25,c28]) ).
cnf(d27,plain,
~ q3(b,e),
inference(resolution,[status(thm)],[d26,d20]) ).
cnf(d28,plain,
$false,
inference(resolution,[status(thm)],[d27,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 17:15:43 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.18/5.33 % SZS status Unsatisfiable for theBenchmark.p
% 22.18/5.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------