%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN689-1 : 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 : 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 09:29:21 AM UTC 2026
% Result : Unsatisfiable 18.52s 3.24s
% Output : CNFRefutation 18.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 15 unt; 0 nHn; 34 RR)
% Number of literals : 81 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c43_is_p27_2,negated_conjecture,
p27(c43) ).
cnf(c35_is_p27_3,negated_conjecture,
p27(c35) ).
cnf(p10_5,negated_conjecture,
p10(X0,X0) ).
cnf(p18_10,negated_conjecture,
p18(X0,X0) ).
cnf(not_p26_15,negated_conjecture,
~ p26(f17(c43),c35) ).
cnf(p27_17,negated_conjecture,
( ~ p27(X0)
| p27(f17(X0)) ) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c35)) ).
cnf(p18_25,negated_conjecture,
( ~ p10(X0,X1)
| p18(f19(X0),f19(X1)) ) ).
cnf(p18_31,negated_conjecture,
( ~ p27(X0)
| p18(f19(f17(X0)),f20(f19(X0))) ) ).
cnf(p18_37,negated_conjecture,
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ) ).
cnf(p26_41,negated_conjecture,
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p26(X0,X1) ) ).
cnf(p28_44,negated_conjecture,
( ~ p18(X3,X0)
| ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1) ) ).
cnf(c1,plain,
p27(c43),
inference(clausification,[status(esa)],[c43_is_p27_2]) ).
cnf(c2,plain,
p27(c35),
inference(clausification,[status(esa)],[c35_is_p27_3]) ).
cnf(c4,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_5]) ).
cnf(c9,plain,
p18(X0,X0),
inference(clausification,[status(esa)],[p18_10]) ).
cnf(c14,plain,
~ p26(f17(c43),c35),
inference(clausification,[status(esa)],[not_p26_15]) ).
cnf(c16,plain,
( ~ p27(X0)
| p27(f17(X0)) ),
inference(clausification,[status(esa)],[p27_17]) ).
cnf(c17,plain,
p28(f20(f19(c43)),f19(c35)),
inference(clausification,[status(esa)],[p28_18]) ).
cnf(c24,plain,
( ~ p10(X0,X1)
| p18(f19(X0),f19(X1)) ),
inference(clausification,[status(esa)],[p18_25]) ).
cnf(c30,plain,
( ~ p27(X0)
| p18(f19(f17(X0)),f20(f19(X0))) ),
inference(clausification,[status(esa)],[p18_31]) ).
cnf(c36,plain,
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
inference(clausification,[status(esa)],[p18_37]) ).
cnf(c40,plain,
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p26(X0,X1) ),
inference(clausification,[status(esa)],[p26_41]) ).
cnf(c43,plain,
( ~ p18(X3,X0)
| ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1) ),
inference(clausification,[status(esa)],[p28_44]) ).
cnf(d0,plain,
( p28(X1,X0)
| ~ p18(f20(f19(c43)),X1)
| ~ p18(f19(c35),X0) ),
inference(resolution,[status(thm)],[c43,c17]) ).
cnf(d1,plain,
( ~ p10(X2,X0)
| ~ p18(f19(X2),X1)
| p18(f19(X0),X1) ),
inference(resolution,[status(thm)],[c36,c24]) ).
cnf(d2,plain,
( p18(f19(X1),f19(X0))
| ~ p10(X0,X1) ),
inference(resolution,[status(thm)],[d1,c9]) ).
cnf(d3,plain,
( ~ p27(X0)
| ~ p18(f19(f17(X0)),X1)
| p18(f20(f19(X0)),X1) ),
inference(resolution,[status(thm)],[c36,c30]) ).
cnf(d4,plain,
( ~ p10(X1,f17(X0))
| p18(f20(f19(X0)),f19(X1))
| ~ p27(X0) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( p28(f19(X0),X1)
| ~ p18(f19(c35),X1)
| ~ p10(X0,f17(c43))
| ~ p27(c43) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( p28(f19(X0),X1)
| ~ p18(f19(c35),X1)
| ~ p10(X0,f17(c43)) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
( p28(f19(X0),f19(c35))
| ~ p10(X0,f17(c43)) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
( p26(X0,c35)
| ~ p27(c35)
| ~ p27(X0)
| ~ p10(X0,f17(c43)) ),
inference(resolution,[status(thm)],[d7,c40]) ).
cnf(d9,plain,
( p26(X0,c35)
| ~ p10(X0,f17(c43))
| ~ p27(X0) ),
inference(resolution,[status(thm)],[c2,d8]) ).
cnf(d10,plain,
( p26(f17(c43),c35)
| ~ p27(f17(c43)) ),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
~ p27(f17(c43)),
inference(resolution,[status(thm)],[c14,d10]) ).
cnf(d12,plain,
~ p27(c43),
inference(resolution,[status(thm)],[d11,c16]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c1,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n010.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 18:20:32 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.52/3.24 % SZS status Unsatisfiable for theBenchmark.p
% 18.52/3.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------