%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:29:15 AM UTC 2026
% Result : Unsatisfiable 25.74s 5.03s
% Output : CNFRefutation 25.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 55 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)) ).
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p4_10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)) ).
cnf(p4_11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)) ).
cnf(p4_24,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(not_p4_28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))) ).
cnf(p4_35,negated_conjecture,
( ~ p4(X0,X2)
| ~ p4(X1,X3)
| p4(f9(X0,X1),f9(X2,X3)) ) ).
cnf(p4_37,negated_conjecture,
( ~ p15(X1)
| ~ p15(X0)
| p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1))) ) ).
cnf(c0,plain,
p15(f3(c19)),
inference(clausification,[status(esa)],[f3_is_p15_1]) ).
cnf(c1,plain,
p15(f3(c18)),
inference(clausification,[status(esa)],[f3_is_p15_2]) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c9,plain,
p4(f5(f3(c18)),f5(c18)),
inference(clausification,[status(esa)],[p4_10]) ).
cnf(c10,plain,
p4(f5(f3(c19)),f5(c19)),
inference(clausification,[status(esa)],[p4_11]) ).
cnf(c23,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_24]) ).
cnf(c27,plain,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(clausification,[status(esa)],[not_p4_28]) ).
cnf(c34,plain,
( ~ p4(X0,X2)
| ~ p4(X1,X3)
| p4(f9(X0,X1),f9(X2,X3)) ),
inference(clausification,[status(esa)],[p4_35]) ).
cnf(c36,plain,
( ~ p15(X1)
| ~ p15(X0)
| p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1))) ),
inference(clausification,[status(esa)],[p4_37]) ).
cnf(d0,plain,
( ~ p4(f9(X0,X2),X4)
| p4(X4,f9(X1,X3))
| ~ p4(X2,X3)
| ~ p4(X0,X1) ),
inference(resolution,[status(thm)],[c34,c23]) ).
cnf(d1,plain,
( ~ p4(X1,X0)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c23,c4]) ).
cnf(d2,plain,
( p4(f9(f5(X0),f5(X1)),f5(f10(X0,X1)))
| ~ p15(X1)
| ~ p15(X0) ),
inference(resolution,[status(thm)],[c36,d1]) ).
cnf(d3,plain,
( ~ p4(f5(X1),X2)
| ~ p4(f5(X0),X3)
| p4(f5(f10(X1,X0)),f9(X2,X3))
| ~ p15(X1)
| ~ p15(X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19))
| ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(resolution,[status(thm)],[d3,c27]) ).
cnf(d5,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19))
| ~ p15(f3(c18)) ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19)) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
~ p4(f5(f3(c19)),f5(c19)),
inference(resolution,[status(thm)],[c9,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.66 % Computer : n016.cluster.edu
% 0.19/0.66 % Model : x86_64 x86_64
% 0.19/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.66 % Memory : 8046.5625MB
% 0.19/0.66 % OS : Linux 6.8.0-71-generic
% 0.19/0.66 % CPULimit : 300
% 0.19/0.66 % WCLimit : 300
% 0.19/0.66 % DateTime : Sat Sep 26 18:22:46 UTC 2026
% 0.19/0.67 % CPUTime :
% 0.19/0.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.74/5.03 % SZS status Unsatisfiable for theBenchmark.p
% 25.74/5.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------