%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN562-1 : 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 : n012.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 09:29:05 AM UTC 2026
% Result : Unsatisfiable 2.01s 3.11s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 19 ( 7 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(not_p10_3,negated_conjecture,
~ p10(X0,X0) ).
cnf(p2_12,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p10_14,negated_conjecture,
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ) ).
cnf(p2_15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))) ).
cnf(p10_16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c2,plain,
~ p10(X0,X0),
inference(clausification,[status(esa)],[not_p10_3]) ).
cnf(c11,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c13,plain,
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_14]) ).
cnf(c14,plain,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(clausification,[status(esa)],[p2_15]) ).
cnf(c15,plain,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(clausification,[status(esa)],[p10_16]) ).
cnf(d0,plain,
( ~ p2(f7(c11),X0)
| p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X0) ),
inference(resolution,[status(thm)],[c14,c11]) ).
cnf(d1,plain,
( p10(X1,X0)
| ~ p2(f7(c11),X1)
| ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X0) ),
inference(resolution,[status(thm)],[c15,c13]) ).
cnf(d2,plain,
( ~ p2(f7(c11),X1)
| p10(X0,X1)
| ~ p2(f7(c11),X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( p10(f7(c11),X0)
| ~ p2(f7(c11),X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
p10(f7(c11),f7(c11)),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN562-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 18:13:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.01/3.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/3.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------