%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN179-1 : 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 : n001.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 09:21:29 AM UTC 2026
% Result : Unsatisfiable 20.86s 3.00s
% Output : CNFRefutation 20.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of clauses : 75 ( 33 unt; 0 nHn; 62 RR)
% Number of literals : 153 ( 0 equ; 82 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 87 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ q3(d,X0) ).
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_7,axiom,
n0(d,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_21,axiom,
q0(b,e) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_034,axiom,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ) ).
cnf(rule_060,axiom,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ) ).
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_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_191,axiom,
( ~ s1(d)
| ~ r1(d)
| s2(d) ) ).
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(c0,plain,
~ q3(d,X0),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c1,plain,
s0(d),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c3,plain,
n0(d,e),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c7,plain,
n0(d,b),
inference(clausification,[status(esa)],[axiom_7]) ).
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(c21,plain,
q0(b,e),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c72,plain,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_034]) ).
cnf(c98,plain,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
inference(clausification,[status(esa)],[rule_060]) ).
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(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c225,plain,
( ~ m0(X2,X3,X0)
| ~ q2(X1,X1,X1)
| ~ r1(X1)
| ~ k0(X1)
| q2(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_187]) ).
cnf(c229,plain,
( ~ s1(d)
| ~ r1(d)
| s2(d) ),
inference(clausification,[status(esa)],[rule_191]) ).
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(d0,plain,
( n1(d,d,b)
| ~ m1(d,e,e)
| ~ q0(b,e) ),
inference(resolution,[status(thm)],[c32,c98]) ).
cnf(d1,plain,
( n1(d,d,b)
| ~ m1(d,e,e) ),
inference(resolution,[status(thm)],[c21,d0]) ).
cnf(d2,plain,
k1(a),
inference(resolution,[status(thm)],[c39,c37]) ).
cnf(d3,plain,
( m1(X0,X1,X1)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(resolution,[status(thm)],[d2,c72]) ).
cnf(d4,plain,
( m1(d,X0,X0)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d5,plain,
( n1(d,d,b)
| ~ k1(e) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c3]) ).
cnf(d7,plain,
n1(d,d,b),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ s2(d)
| q3(d,b)
| ~ q3(b,d) ),
inference(resolution,[status(thm)],[d7,c295]) ).
cnf(d9,plain,
( ~ s2(d)
| ~ q3(b,d) ),
inference(resolution,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d11,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d12,plain,
s1(X0),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( s2(d)
| ~ r1(d) ),
inference(resolution,[status(thm)],[d12,c229]) ).
cnf(d14,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d15,plain,
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ),
inference(resolution,[status(thm)],[c1,c162]) ).
cnf(d16,plain,
( r1(X0)
| ~ q0(X0,d) ),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
r1(X0),
inference(resolution,[status(thm)],[c17,d16]) ).
cnf(d18,plain,
s2(d),
inference(resolution,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
~ q3(b,d),
inference(resolution,[status(thm)],[d18,d9]) ).
cnf(d20,plain,
( ~ q2(X3,X3,X3)
| q2(X2,X3,X2)
| ~ k0(X3)
| ~ m0(X0,X1,X2) ),
inference(resolution,[status(thm)],[d17,c225]) ).
cnf(d21,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d22,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d21,c219]) ).
cnf(d23,plain,
( q2(X2,X3,X2)
| ~ k0(X3)
| ~ m0(X0,X1,X2) ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( q2(X1,X0,X1)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d23,c19]) ).
cnf(d25,plain,
( ~ n0(X1,X0)
| q3(X0,X1)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d24,c293]) ).
cnf(d26,plain,
( ~ k0(b)
| q3(b,d) ),
inference(resolution,[status(thm)],[d25,c7]) ).
cnf(d27,plain,
q3(b,d),
inference(resolution,[status(thm)],[c32,d26]) ).
cnf(d28,plain,
$false,
inference(resolution,[status(thm)],[d27,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:24:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.86/3.00 % SZS status Unsatisfiable for theBenchmark.p
% 20.86/3.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------