%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN595-1 : 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 : n010.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 09:29:09 AM UTC 2026
% Result : Unsatisfiable 39.93s 20.69s
% Output : CNFRefutation 39.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 44 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p14_5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))) ).
cnf(p15_6,negated_conjecture,
( ~ p14(X0,X1)
| p15(X0,X1) ) ).
cnf(p14_8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)) ).
cnf(p2_17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ).
cnf(p15_19,negated_conjecture,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ) ).
cnf(not_p2_26,negated_conjecture,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c4,plain,
p14(c18,f3(f4(f5(c17)))),
inference(clausification,[status(esa)],[p14_5]) ).
cnf(c5,plain,
( ~ p14(X0,X1)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_6]) ).
cnf(c7,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(clausification,[status(esa)],[p14_8]) ).
cnf(c16,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(clausification,[status(esa)],[p2_17]) ).
cnf(c18,plain,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_19]) ).
cnf(c25,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ),
inference(clausification,[status(esa)],[not_p2_26]) ).
cnf(d0,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p14(c18,f3(f4(f5(c17))))
| ~ p2(f3(c17),f3(c17)) ),
inference(resolution,[status(thm)],[c25,c1]) ).
cnf(d1,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d4,plain,
( p15(X1,X0)
| ~ p2(c19,X1)
| ~ p2(f6(f3(f4(f5(c17))),c16),X0) ),
inference(resolution,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
( p15(X0,f6(f3(f4(f5(c17))),c16))
| ~ p2(c19,X0) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c16,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.58 % Computer : n010.cluster.edu
% 0.10/15.58 % Model : x86_64 x86_64
% 0.10/15.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.58 % Memory : 8046.5625MB
% 0.10/15.58 % OS : Linux 6.8.0-71-generic
% 0.10/15.58 % CPULimit : 300
% 0.10/15.58 % WCLimit : 300
% 0.10/15.58 % DateTime : Sat Sep 26 18:16:02 UTC 2026
% 0.10/15.58 % CPUTime :
% 0.10/15.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.93/20.69 % SZS status Unsatisfiable for theBenchmark.p
% 39.93/20.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------