%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN624-1 : 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 : n014.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 09:29:13 AM UTC 2026
% Result : Unsatisfiable 37.87s 5.27s
% Output : CNFRefutation 37.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p5_2,negated_conjecture,
p5(X0,X0) ).
cnf(p10_11,negated_conjecture,
p10(f16(X0,f14(f15(f7(c25)))),X0) ).
cnf(p10_21,negated_conjecture,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ) ).
cnf(p10_26,negated_conjecture,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))) ).
cnf(not_p10_28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))) ).
cnf(p10_32,negated_conjecture,
( ~ p5(X0,X2)
| ~ p10(X1,X3)
| p10(f13(X0,X1),f13(X2,X3)) ) ).
cnf(c0,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_1]) ).
cnf(c1,plain,
p5(X0,X0),
inference(clausification,[status(esa)],[p5_2]) ).
cnf(c10,plain,
p10(f16(X0,f14(f15(f7(c25)))),X0),
inference(clausification,[status(esa)],[p10_11]) ).
cnf(c20,plain,
( ~ p10(X0,X2)
| p10(X1,X2)
| ~ p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_21]) ).
cnf(c25,plain,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(clausification,[status(esa)],[p10_26]) ).
cnf(c27,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(clausification,[status(esa)],[not_p10_28]) ).
cnf(c31,plain,
( ~ p5(X2,X3)
| p10(f13(X2,X0),f13(X3,X1))
| ~ p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_32]) ).
cnf(d0,plain,
( ~ p10(X1,X0)
| p10(X0,X1) ),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(d1,plain,
p10(f13(f6(c24),f16(c26,X0)),f13(f6(c22),X0)),
inference(resolution,[status(thm)],[c25,d0]) ).
cnf(d2,plain,
( ~ p10(f13(f6(c24),f16(c26,X1)),X0)
| p10(X0,f13(f6(c22),X1)) ),
inference(resolution,[status(thm)],[d1,c20]) ).
cnf(d3,plain,
( ~ p5(X0,X2)
| p10(f13(X0,f16(X1,f14(f15(f7(c25))))),f13(X2,X1)) ),
inference(resolution,[status(thm)],[c31,c10]) ).
cnf(d4,plain,
p10(f13(X0,f16(X1,f14(f15(f7(c25))))),f13(X0,X1)),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c27,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n014.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 26 18:17:03 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.87/5.27 % SZS status Unsatisfiable for theBenchmark.p
% 37.87/5.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------