%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN652-1 : 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 : n015.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 13.24s 2.24s
% Output : CNFRefutation 13.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 18 unt; 0 nHn; 22 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p14_14,negated_conjecture,
p14(X0,X0) ).
cnf(p4_16,negated_conjecture,
p4(c34,f5(c35,c32)) ).
cnf(p27_17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33) ).
cnf(not_p4_18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)) ).
cnf(p4_23,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p4_34,negated_conjecture,
p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)) ).
cnf(p4_41,negated_conjecture,
( ~ p4(X1,X3)
| ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3)) ) ).
cnf(p4_46,negated_conjecture,
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c13,plain,
p14(X0,X0),
inference(clausification,[status(esa)],[p14_14]) ).
cnf(c15,plain,
p4(c34,f5(c35,c32)),
inference(clausification,[status(esa)],[p4_16]) ).
cnf(c16,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(clausification,[status(esa)],[p27_17]) ).
cnf(c17,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(clausification,[status(esa)],[not_p4_18]) ).
cnf(c22,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_23]) ).
cnf(c33,plain,
p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
inference(clausification,[status(esa)],[p4_34]) ).
cnf(c40,plain,
( ~ p4(X1,X3)
| ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3)) ),
inference(clausification,[status(esa)],[p4_41]) ).
cnf(c45,plain,
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
inference(clausification,[status(esa)],[p4_46]) ).
cnf(d0,plain,
( ~ p4(f15(X2,X0),X4)
| p4(X4,f15(X3,X1))
| ~ p14(X2,X3)
| ~ p4(X0,X1) ),
inference(resolution,[status(thm)],[c40,c22]) ).
cnf(d1,plain,
( ~ p4(X1,X0)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c22,c4]) ).
cnf(d2,plain,
p4(f5(X0,X1),f15(f17(c36,X0),f5(c35,X1))),
inference(resolution,[status(thm)],[c33,d1]) ).
cnf(d3,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolution,[status(thm)],[c45,c16]) ).
cnf(d4,plain,
( ~ p4(f5(c31,c32),X0)
| p4(X0,f5(c31,c33)) ),
inference(resolution,[status(thm)],[d3,c22]) ).
cnf(d5,plain,
p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ p14(f17(c36,c31),X0)
| ~ p4(f5(c35,c32),X1)
| p4(f5(c31,c33),f15(X0,X1)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( ~ p14(f17(c36,c31),f17(c36,c31))
| ~ p4(f5(c35,c32),c34) ),
inference(resolution,[status(thm)],[d6,c17]) ).
cnf(d8,plain,
~ p4(f5(c35,c32),c34),
inference(resolution,[status(thm)],[c13,d7]) ).
cnf(d9,plain,
p4(f5(c35,c32),c34),
inference(resolution,[status(thm)],[d1,c15]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 18:21:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.24/2.24 % SZS status Unsatisfiable for theBenchmark.p
% 13.24/2.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------