%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN129-1 : 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 : n004.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 09:21:22 AM UTC 2026
% Result : Unsatisfiable 20.48s 8.39s
% Output : CNFRefutation 20.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 15 unt; 0 nHn; 26 RR)
% Number of literals : 60 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 50 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ l5(e) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ) ).
cnf(rule_210,axiom,
( ~ n2(X0)
| k3(X0,X0,X0) ) ).
cnf(rule_236,axiom,
( ~ n2(X0)
| m3(X0,X0,X0) ) ).
cnf(rule_295,axiom,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ) ).
cnf(rule_302,axiom,
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ) ).
cnf(c0,plain,
~ l5(e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
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(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c175,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(clausification,[status(esa)],[rule_137]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c248,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_210]) ).
cnf(c274,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_236]) ).
cnf(c333,plain,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(clausification,[status(esa)],[rule_295]) ).
cnf(c340,plain,
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
inference(clausification,[status(esa)],[rule_302]) ).
cnf(d0,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c30]) ).
cnf(d1,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d2,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d1,c219]) ).
cnf(d3,plain,
n2(X0),
inference(resolution,[status(thm)],[d1,c175]) ).
cnf(d4,plain,
k3(X0,X0,X0),
inference(resolution,[status(thm)],[d3,c248]) ).
cnf(d5,plain,
m3(X0,X0,X0),
inference(resolution,[status(thm)],[d3,c274]) ).
cnf(d6,plain,
( q4(X2,X1)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(resolution,[status(thm)],[c333,d5]) ).
cnf(d7,plain,
( q4(X2,X1)
| ~ q2(X0,X1,X2) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
q4(X0,X0),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( ~ k1(X0)
| l5(X0) ),
inference(resolution,[status(thm)],[d8,c340]) ).
cnf(d10,plain,
l5(e),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c0,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n004.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Sat Sep 26 17:12:57 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.48/8.39 % SZS status Unsatisfiable for theBenchmark.p
% 20.48/8.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------