%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 09:29:08 AM UTC 2026
% Result : Unsatisfiable 13.74s 2.12s
% Output : CNFRefutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_1,negated_conjecture,
p12(X0,X0) ).
cnf(p3_4,negated_conjecture,
p3(X0,X0) ).
cnf(p12_9,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(p15_15,negated_conjecture,
( ~ p12(X2,X0)
| ~ p3(X3,X1)
| ~ p15(X2,X3)
| p15(X0,X1) ) ).
cnf(p15_21,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ).
cnf(p12_23,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22) ).
cnf(not_p15_25,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ).
cnf(c0,plain,
p12(X0,X0),
inference(clausification,[status(esa)],[p12_1]) ).
cnf(c3,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_4]) ).
cnf(c8,plain,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_9]) ).
cnf(c14,plain,
( ~ p12(X2,X0)
| ~ p3(X3,X1)
| ~ p15(X2,X3)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_15]) ).
cnf(c20,plain,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(clausification,[status(esa)],[p15_21]) ).
cnf(c22,plain,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
inference(clausification,[status(esa)],[p12_23]) ).
cnf(c24,plain,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(clausification,[status(esa)],[not_p15_25]) ).
cnf(d0,plain,
( p15(X0,X1)
| ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),X1)
| ~ p12(c22,X0) ),
inference(resolution,[status(thm)],[c20,c14]) ).
cnf(d1,plain,
( p15(X0,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| ~ p12(c22,X0) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(resolution,[status(thm)],[d1,c24]) ).
cnf(d3,plain,
( ~ p12(X1,X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(d4,plain,
p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(resolution,[status(thm)],[c22,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 18:15:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.74/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 13.74/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------