%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN619-1 : 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 : 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 09:29:12 AM UTC 2026
% Result : Unsatisfiable 12.68s 3.60s
% Output : CNFRefutation 12.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 12 unt; 12 nHn; 29 RR)
% Number of literals : 72 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_5,negated_conjecture,
p2(X0,X0) ).
cnf(p17_6,negated_conjecture,
p17(X0,X0) ).
cnf(p18_7,negated_conjecture,
p18(c24,f6(c25)) ).
cnf(not_p18_8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))) ).
cnf(p17_9,negated_conjecture,
( ~ p17(f3(X0),X1)
| p17(X0,X1) ) ).
cnf(p18_24,negated_conjecture,
( ~ p18(X0,f6(c25))
| p2(f14(X0),c20)
| p18(X0,f6(c19)) ) ).
cnf(p18_27,negated_conjecture,
( ~ p18(X0,f6(c25))
| p17(f3(c21),f15(X0))
| p18(X0,f6(c19)) ) ).
cnf(not_p2_32,negated_conjecture,
( ~ p8(c24,f9(f13(X0,X1),X2))
| ~ p17(c21,X1)
| ~ p2(X0,c20) ) ).
cnf(p18_33,negated_conjecture,
( ~ p18(X0,f6(c25))
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| p18(X0,f6(c19)) ) ).
cnf(p18_34,negated_conjecture,
( ~ p18(X0,f6(c19))
| p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X0,f6(f7(c22,c23))) ) ).
cnf(c4,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_5]) ).
cnf(c5,plain,
p17(X0,X0),
inference(clausification,[status(esa)],[p17_6]) ).
cnf(c6,plain,
p18(c24,f6(c25)),
inference(clausification,[status(esa)],[p18_7]) ).
cnf(c7,plain,
~ p18(c24,f6(f7(c22,c23))),
inference(clausification,[status(esa)],[not_p18_8]) ).
cnf(c8,plain,
( ~ p17(f3(X0),X1)
| p17(X0,X1) ),
inference(clausification,[status(esa)],[p17_9]) ).
cnf(c23,plain,
( ~ p18(X0,f6(c25))
| p2(f14(X0),c20)
| p18(X0,f6(c19)) ),
inference(clausification,[status(esa)],[p18_24]) ).
cnf(c26,plain,
( ~ p18(X0,f6(c25))
| p17(f3(c21),f15(X0))
| p18(X0,f6(c19)) ),
inference(clausification,[status(esa)],[p18_27]) ).
cnf(c31,plain,
( ~ p8(c24,f9(f13(X0,X1),X2))
| ~ p17(c21,X1)
| ~ p2(X0,c20) ),
inference(clausification,[status(esa)],[not_p2_32]) ).
cnf(c32,plain,
( ~ p18(X0,f6(c25))
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| p18(X0,f6(c19)) ),
inference(clausification,[status(esa)],[p18_33]) ).
cnf(c33,plain,
( ~ p18(X0,f6(c19))
| p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X0,f6(f7(c22,c23))) ),
inference(clausification,[status(esa)],[p18_34]) ).
cnf(d0,plain,
( p17(c21,f15(X0))
| p18(X0,f6(c19))
| ~ p18(X0,f6(c25)) ),
inference(resolution,[status(thm)],[c26,c8]) ).
cnf(d1,plain,
( p18(c24,f6(c19))
| p17(c21,f15(c24)) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
( ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20)
| p18(c24,f6(c19))
| ~ p18(c24,f6(c25)) ),
inference(resolution,[status(thm)],[c32,c31]) ).
cnf(d3,plain,
( p18(c24,f6(c19))
| ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20) ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( p18(c24,f6(c19))
| p18(c24,f6(c19))
| ~ p2(f14(c24),c20) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ p17(c21,c21)
| ~ p2(c20,c20)
| ~ p18(c24,f6(c19))
| p18(c24,f6(f7(c22,c23))) ),
inference(resolution,[status(thm)],[c33,c31]) ).
cnf(d6,plain,
( ~ p18(c24,f6(c19))
| p18(c24,f6(f7(c22,c23)))
| ~ p17(c21,c21) ),
inference(resolution,[status(thm)],[c4,d5]) ).
cnf(d7,plain,
( ~ p18(c24,f6(c19))
| p18(c24,f6(f7(c22,c23))) ),
inference(resolution,[status(thm)],[c5,d6]) ).
cnf(d8,plain,
~ p18(c24,f6(c19)),
inference(resolution,[status(thm)],[c7,d7]) ).
cnf(d9,plain,
~ p2(f14(c24),c20),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( p18(c24,f6(c19))
| p2(f14(c24),c20) ),
inference(resolution,[status(thm)],[c23,c6]) ).
cnf(d11,plain,
p2(f14(c24),c20),
inference(resolution,[status(thm)],[d8,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Computer : n015.cluster.edu
% 0.10/0.45 % Model : x86_64 x86_64
% 0.10/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.45 % Memory : 8046.5625MB
% 0.10/0.45 % OS : Linux 6.8.0-71-generic
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Sat Sep 26 18:19:58 UTC 2026
% 0.10/0.45 % CPUTime :
% 0.10/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.68/3.60 % SZS status Unsatisfiable for theBenchmark.p
% 12.68/3.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------