%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN648-1 : 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 : n010.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 09:29:16 AM UTC 2026
% Result : Unsatisfiable 8.13s 7.02s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 10 unt; 5 nHn; 20 RR)
% Number of literals : 67 ( 0 equ; 43 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_5,negated_conjecture,
p3(X0,X0) ).
cnf(p2_14,negated_conjecture,
p2(c27,c30) ).
cnf(p26_15,negated_conjecture,
p26(c31,c30) ).
cnf(not_p24_16,negated_conjecture,
~ p24(f4(c27,c28),c29) ).
cnf(p24_30,negated_conjecture,
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ) ).
cnf(p24_43,negated_conjecture,
( ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p3(X1,f4(X2,c28))
| ~ p26(c31,X3)
| ~ p2(X2,X3)
| ~ p3(X0,X1)
| p24(X0,c29) ) ).
cnf(p24_44,negated_conjecture,
( ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X1)
| ~ p2(X3,X1)
| ~ p3(X0,X2)
| p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))
| p24(X0,c29) ) ).
cnf(c4,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_5]) ).
cnf(c13,plain,
p2(c27,c30),
inference(clausification,[status(esa)],[p2_14]) ).
cnf(c14,plain,
p26(c31,c30),
inference(clausification,[status(esa)],[p26_15]) ).
cnf(c15,plain,
~ p24(f4(c27,c28),c29),
inference(clausification,[status(esa)],[not_p24_16]) ).
cnf(c29,plain,
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
inference(clausification,[status(esa)],[p24_30]) ).
cnf(c42,plain,
( ~ p3(X1,X3)
| ~ p3(X3,f4(X2,c28))
| ~ p24(f4(X0,f17(f19(f21(f23(c33,X1),X3),X2),X0)),f9(f11(f13(f15(c34,X1),X3),X2),X0))
| ~ p2(X2,X0)
| p24(X1,c29)
| ~ p26(c31,X0) ),
inference(clausification,[status(esa)],[p24_43]) ).
cnf(c43,plain,
( p24(f4(f6(c32,X3),f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p2(X2,X3)
| ~ p26(c31,X3)
| ~ p3(X0,X1)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29) ),
inference(clausification,[status(esa)],[p24_44]) ).
cnf(d0,plain,
( p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))
| p24(X0,c29)
| ~ p26(c31,c30)
| ~ p2(X2,c30)
| ~ p3(X1,f4(X2,c28))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c43,c29]) ).
cnf(d1,plain,
( p24(f4(c30,f17(f19(f21(f23(c33,X2),X0),X1),c30)),f9(f11(f13(f15(c34,X2),X0),X1),c30))
| p24(X2,c29)
| ~ p2(X1,c30)
| ~ p3(X2,X0)
| ~ p3(X0,f4(X1,c28)) ),
inference(resolution,[status(thm)],[c14,d0]) ).
cnf(d2,plain,
( p24(X0,c29)
| ~ p26(c31,c30)
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29)
| ~ p2(X2,c30)
| ~ p3(X1,f4(X2,c28))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d1,c42]) ).
cnf(d3,plain,
( p24(X2,c29)
| ~ p2(X1,c30)
| ~ p3(X2,X0)
| ~ p3(X0,f4(X1,c28)) ),
inference(resolution,[status(thm)],[c14,d2]) ).
cnf(d4,plain,
( p24(X0,c29)
| ~ p2(X1,c30)
| ~ p3(X0,f4(X1,c28)) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( p24(f4(X0,c28),c29)
| ~ p2(X0,c30) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
~ p2(c27,c30),
inference(resolution,[status(thm)],[d5,c15]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c13,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n010.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sat Sep 26 18:18:47 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.13/7.02 % SZS status Unsatisfiable for theBenchmark.p
% 8.13/7.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------