%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN571-1 : 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 : n026.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 12.05s 1.98s
% Output : CNFRefutation 12.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 44 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X0,X0) ).
cnf(p11_3,negated_conjecture,
p11(f5(X0),c14) ).
cnf(not_p11_6,negated_conjecture,
~ p11(X0,f3(X0,f5(f6(f7(c12))))) ).
cnf(p11_7,negated_conjecture,
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ) ).
cnf(p2_12,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p2_14,negated_conjecture,
p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))) ).
cnf(p11_15,negated_conjecture,
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ) ).
cnf(p11_17,negated_conjecture,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ) ).
cnf(c1,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_2]) ).
cnf(c2,plain,
p11(f5(X0),c14),
inference(clausification,[status(esa)],[p11_3]) ).
cnf(c5,plain,
~ p11(X0,f3(X0,f5(f6(f7(c12))))),
inference(clausification,[status(esa)],[not_p11_6]) ).
cnf(c6,plain,
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ),
inference(clausification,[status(esa)],[p11_7]) ).
cnf(c11,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c13,plain,
p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c14,plain,
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ),
inference(clausification,[status(esa)],[p11_15]) ).
cnf(c16,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_17]) ).
cnf(d0,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c11,c1]) ).
cnf(d1,plain,
p2(f5(f8(X0,X1)),f9(f5(X0),f5(X1))),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
( p11(X2,X0)
| ~ p2(f5(X1),X2)
| ~ p2(c14,X0) ),
inference(resolution,[status(thm)],[c16,c2]) ).
cnf(d3,plain,
( p11(f9(f5(X1),f5(X2)),X0)
| ~ p2(c14,X0) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( p11(f5(X1),f3(X0,f5(X2)))
| ~ p2(c14,X0) ),
inference(resolution,[status(thm)],[d3,c14]) ).
cnf(d5,plain,
( p11(c14,f3(X0,f5(X1)))
| ~ p2(c14,X0) ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
~ p2(c14,c14),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c1,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:17:10 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.05/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 12.05/1.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------