%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN626-1 : 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 : n001.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 10.88s 2.04s
% Output : CNFRefutation 10.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 11 unt; 0 nHn; 20 RR)
% Number of literals : 45 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X0,X0) ).
cnf(p6_3,negated_conjecture,
p6(X0,X0) ).
cnf(p16_8,negated_conjecture,
( ~ p15(X0,X1)
| p16(X0,X1) ) ).
cnf(p15_9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))) ).
cnf(p7_15,negated_conjecture,
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ) ).
cnf(p7_17,negated_conjecture,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ) ).
cnf(not_p15_24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) ).
cnf(p15_31,negated_conjecture,
( ~ p15(X2,X3)
| ~ p7(X3,X1)
| ~ p6(X2,X0)
| p15(X0,X1) ) ).
cnf(c1,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_2]) ).
cnf(c2,plain,
p6(X0,X0),
inference(clausification,[status(esa)],[p6_3]) ).
cnf(c7,plain,
( ~ p15(X0,X1)
| p16(X0,X1) ),
inference(clausification,[status(esa)],[p16_8]) ).
cnf(c8,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(clausification,[status(esa)],[p15_9]) ).
cnf(c14,plain,
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ),
inference(clausification,[status(esa)],[p7_15]) ).
cnf(c16,plain,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(clausification,[status(esa)],[p7_17]) ).
cnf(c23,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(clausification,[status(esa)],[not_p15_24]) ).
cnf(c30,plain,
( ~ p15(X2,X3)
| ~ p7(X3,X1)
| ~ p6(X2,X0)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_31]) ).
cnf(d0,plain,
( ~ p7(X1,X0)
| p7(X0,X1) ),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d1,plain,
( ~ p16(c22,X0)
| p7(X0,f12(f13(X0))) ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( p15(X1,X0)
| ~ p6(c22,X1)
| ~ p7(f8(f5(c20),f9(c23,c24)),X0) ),
inference(resolution,[status(thm)],[c30,c8]) ).
cnf(d3,plain,
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| p15(X0,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p6(c22,X0) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(d5,plain,
( p15(X0,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p6(c22,X0) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
~ p6(c22,c22),
inference(resolution,[status(thm)],[d5,c23]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c2,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n001.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Sat Sep 26 18:22:59 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.51 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.88/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 10.88/2.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------