%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN596-1 : 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 : n017.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 09:29:10 AM UTC 2026
% Result : Unsatisfiable 13.07s 3.99s
% Output : CNFRefutation 13.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p10_15,negated_conjecture,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ) ).
cnf(p18_20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) ).
cnf(not_p18_21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ).
cnf(p18_23,negated_conjecture,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ) ).
cnf(p10_28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) ).
cnf(c0,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_1]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c14,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_15]) ).
cnf(c19,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausification,[status(esa)],[p18_20]) ).
cnf(c20,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(clausification,[status(esa)],[not_p18_21]) ).
cnf(c22,plain,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(clausification,[status(esa)],[p18_23]) ).
cnf(c27,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausification,[status(esa)],[p10_28]) ).
cnf(d0,plain,
( p18(X1,X0)
| ~ p2(c20,X1)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(resolution,[status(thm)],[c22,c19]) ).
cnf(d1,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),X0)
| p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(resolution,[status(thm)],[c27,c14]) ).
cnf(d2,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( p18(X0,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
~ p2(c20,c20),
inference(resolution,[status(thm)],[d3,c20]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c3,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:10:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.07/3.99 % SZS status Unsatisfiable for theBenchmark.p
% 13.07/3.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------