%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN207-1 : 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 : 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 09:21:33 AM UTC 2026
% Result : Unsatisfiable 30.35s 4.45s
% Output : CNFRefutation 30.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 48 ( 21 unt; 0 nHn; 34 RR)
% Number of literals : 95 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ s3(c,c) ).
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_24,axiom,
l0(c) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
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_133,axiom,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,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_273,axiom,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ) ).
cnf(c0,plain,
~ s3(c,c),
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(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(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
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(c171,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(clausification,[status(esa)],[rule_133]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
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(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(c),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[c24,c221]) ).
cnf(d6,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d7,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d8,plain,
s1(X0),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( s2(X0)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[d8,c227]) ).
cnf(d10,plain,
( ~ l2(b,b)
| ~ k1(b)
| s2(c) ),
inference(resolution,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
k1(b),
inference(resolution,[status(thm)],[c39,c11]) ).
cnf(d12,plain,
( s2(c)
| ~ l2(b,b) ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( l2(X1,X1)
| ~ s1(d)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[c171,c19]) ).
cnf(d14,plain,
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[d8,d13]) ).
cnf(d15,plain,
l2(X0,X0),
inference(resolution,[status(thm)],[d14,c14]) ).
cnf(d16,plain,
s2(c),
inference(resolution,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN207-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n015.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 17:24:58 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.35/4.45 % SZS status Unsatisfiable for theBenchmark.p
% 30.35/4.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------