%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN594-1 : 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 : n012.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 20.14s 2.98s
% Output : CNFRefutation 20.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 17 unt; 3 nHn; 27 RR)
% Number of literals : 50 ( 0 equ; 25 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 : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p14_4,negated_conjecture,
p14(c18,f3(f4(f5(c17)))) ).
cnf(p15_5,negated_conjecture,
( ~ p14(X0,X1)
| p15(X0,X1) ) ).
cnf(p14_7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)) ).
cnf(p14_13,negated_conjecture,
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ) ).
cnf(p2_15,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p15_16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ).
cnf(not_p2_17,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ).
cnf(p7_25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ).
cnf(not_p14_27,negated_conjecture,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17)))) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c3,plain,
p14(c18,f3(f4(f5(c17)))),
inference(clausification,[status(esa)],[p14_4]) ).
cnf(c4,plain,
( ~ p14(X0,X1)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_5]) ).
cnf(c6,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(clausification,[status(esa)],[p14_7]) ).
cnf(c12,plain,
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ),
inference(clausification,[status(esa)],[p14_13]) ).
cnf(c14,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_15]) ).
cnf(c15,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(clausification,[status(esa)],[p15_16]) ).
cnf(c16,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(clausification,[status(esa)],[not_p2_17]) ).
cnf(c24,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(clausification,[status(esa)],[p7_25]) ).
cnf(c26,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17)))) ),
inference(clausification,[status(esa)],[not_p14_27]) ).
cnf(d0,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(d1,plain,
( p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[status(thm)],[c15,c12]) ).
cnf(d2,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(resolution,[status(thm)],[c26,c24]) ).
cnf(d3,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(d5,plain,
~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c16,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 18:15:20 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.14/2.98 % SZS status Unsatisfiable for theBenchmark.p
% 20.14/2.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------