%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN176-1 : 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 : 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 19.94s 2.93s
% Output : CNFRefutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 18 unt; 0 nHn; 22 RR)
% Number of literals : 60 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ q2(e,c,X0) ).
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(axiom_30,axiom,
n0(e,e) ).
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_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(c0,plain,
~ q2(e,c,X0),
inference(clausification,[status(esa)],[prove_this]) ).
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(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
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(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(d0,plain,
( ~ l2(X1,X0)
| ~ k1(X1)
| q2(X0,c,X1) ),
inference(resolution,[status(thm)],[c24,c221]) ).
cnf(d1,plain,
( ~ l2(X0,e)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( l2(X1,X1)
| ~ s1(d)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[c171,c19]) ).
cnf(d3,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d4,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d5,plain,
s1(X0),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
l2(X0,X0),
inference(resolution,[status(thm)],[d6,c14]) ).
cnf(d8,plain,
~ k1(e),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c30]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 17:24:28 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.94/2.93 % SZS status Unsatisfiable for theBenchmark.p
% 19.94/2.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------