%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN161-1 : 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 : n020.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 09:21:26 AM UTC 2026
% Result : Unsatisfiable 25.30s 3.68s
% Output : CNFRefutation 25.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 17 unt; 0 nHn; 26 RR)
% Number of literals : 62 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 57 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n5(c,X0) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(rule_006,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,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_240,axiom,
( ~ p2(X1,X2,X0)
| n3(X0) ) ).
cnf(rule_255,axiom,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ) ).
cnf(rule_298,axiom,
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ) ).
cnf(rule_314,axiom,
( ~ r4(X0)
| n5(X0,X0) ) ).
cnf(c0,plain,
~ n5(c,X0),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c44,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_006]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
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(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(c336,plain,
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
inference(clausification,[status(esa)],[rule_298]) ).
cnf(c352,plain,
( ~ r4(X0)
| n5(X0,X0) ),
inference(clausification,[status(esa)],[rule_314]) ).
cnf(d0,plain,
~ r4(c),
inference(resolution,[status(thm)],[c352,c0]) ).
cnf(d1,plain,
m1(X0,X0,X0),
inference(resolution,[status(thm)],[c44,c19]) ).
cnf(d2,plain,
p2(X0,X0,X0),
inference(resolution,[status(thm)],[c188,d1]) ).
cnf(d3,plain,
n3(X0),
inference(resolution,[status(thm)],[c278,d2]) ).
cnf(d4,plain,
( r4(X1)
| ~ q3(X2,X3)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[d3,c336]) ).
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,
( q3(X0,X0)
| ~ n0(X0,X0) ),
inference(resolution,[status(thm)],[c293,d6]) ).
cnf(d8,plain,
q3(e,e),
inference(resolution,[status(thm)],[d7,c30]) ).
cnf(d9,plain,
( r4(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
r4(X0),
inference(resolution,[status(thm)],[d9,c14]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN161-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 17:17:49 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.30/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 25.30/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------