%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN587-1 : 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 : n009.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 17.62s 3.01s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 47 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19) ).
cnf(p3_15,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p15_17,negated_conjecture,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ).
cnf(not_p15_19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ).
cnf(p2_20,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ) ).
cnf(c2,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p3(c21,c19),
inference(clausification,[status(esa)],[p3_5]) ).
cnf(c14,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_15]) ).
cnf(c16,plain,
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
inference(clausification,[status(esa)],[p15_17]) ).
cnf(c17,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(clausification,[status(esa)],[p15_18]) ).
cnf(c18,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(clausification,[status(esa)],[not_p15_19]) ).
cnf(c19,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(clausification,[status(esa)],[p2_20]) ).
cnf(d0,plain,
( p15(X1,X0)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X1)
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[c17,c16]) ).
cnf(d1,plain,
( ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1)
| ~ p3(c19,X2)
| p15(f4(X1,X2),X0)
| ~ p2(c20,X0) ),
inference(resolution,[status(thm)],[d0,c19]) ).
cnf(d2,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),X1)
| ~ p2(c20,X1)
| ~ p3(c19,X0) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ p2(c20,c20)
| ~ p3(c19,c21) ),
inference(resolution,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
~ p3(c19,c21),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
( ~ p3(c21,X0)
| p3(c19,X0) ),
inference(resolution,[status(thm)],[c14,c4]) ).
cnf(d6,plain,
p3(c19,c21),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:15:00 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.62/3.01 % SZS status Unsatisfiable for theBenchmark.p
% 17.62/3.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------