%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN204-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:21:32 AM UTC 2026
% Result : Unsatisfiable 13.90s 3.20s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 60 ( 25 unt; 0 nHn; 44 RR)
% Number of literals : 125 ( 0 equ; 68 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 83 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ s3(a,c) ).
cnf(axiom_5,axiom,
s0(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_20,axiom,
l0(a) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_002,axiom,
( ~ n0(X1,X0)
| l1(X0,X0) ) ).
cnf(rule_050,axiom,
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ) ).
cnf(rule_054,axiom,
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_125,axiom,
( ~ p0(X0,X0)
| s1(X0) ) ).
cnf(rule_126,axiom,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ) ).
cnf(rule_177,axiom,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ) ).
cnf(rule_182,axiom,
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ) ).
cnf(rule_273,axiom,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ) ).
cnf(c0,plain,
~ s3(a,c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c5,plain,
s0(b),
inference(clausification,[status(esa)],[axiom_5]) ).
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(c20,plain,
l0(a),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c40,plain,
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(clausification,[status(esa)],[rule_002]) ).
cnf(c88,plain,
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_050]) ).
cnf(c92,plain,
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_054]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
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(c215,plain,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_177]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c220,plain,
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_182]) ).
cnf(c227,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(clausification,[status(esa)],[rule_189]) ).
cnf(c311,plain,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(clausification,[status(esa)],[rule_273]) ).
cnf(d0,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d1,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d0,c219]) ).
cnf(d2,plain,
( ~ s2(X0)
| ~ m0(X0,X2,X1)
| s3(X0,X1) ),
inference(resolution,[status(thm)],[c311,d1]) ).
cnf(d3,plain,
( ~ s2(X0)
| s3(X0,X1) ),
inference(resolution,[status(thm)],[d2,c19]) ).
cnf(d4,plain,
~ s2(a),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d6,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d7,plain,
s1(X0),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( s2(X0)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[d7,c227]) ).
cnf(d9,plain,
l1(a,a),
inference(resolution,[status(thm)],[c40,c37]) ).
cnf(d10,plain,
( n1(X1,X0,X1)
| ~ l0(X1)
| ~ p0(b,X0) ),
inference(resolution,[status(thm)],[c5,c88]) ).
cnf(d11,plain,
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[c14,d10]) ).
cnf(d12,plain,
( ~ l0(X1)
| n1(X1,X2,X2)
| ~ l1(X0,X1)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[c92,d11]) ).
cnf(d13,plain,
( n1(a,X0,X0)
| ~ l0(a)
| ~ l0(a) ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
n1(a,X0,X0),
inference(resolution,[status(thm)],[c20,d13]) ).
cnf(d15,plain,
( q2(X1,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d0,c215]) ).
cnf(d16,plain,
( ~ k0(X1)
| q2(X1,X0,X1)
| ~ p1(X1,X1,X1)
| ~ n1(X0,X1,X1) ),
inference(resolution,[status(thm)],[c220,d15]) ).
cnf(d17,plain,
( q2(X0,X1,X0)
| ~ n1(X1,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d0,d16]) ).
cnf(d18,plain,
( q2(X0,a,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d17,d14]) ).
cnf(d19,plain,
( s2(a)
| ~ k0(b) ),
inference(resolution,[status(thm)],[d18,d8]) ).
cnf(d20,plain,
s2(a),
inference(resolution,[status(thm)],[c32,d19]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN204-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 17:21:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.90/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 13.90/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------