%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN613-1 : 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 : n005.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 09:29:11 AM UTC 2026
% Result : Unsatisfiable 8.35s 2.24s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 20 unt; 0 nHn; 23 RR)
% Number of literals : 49 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p3_4,negated_conjecture,
p3(X0,X0) ).
cnf(p16_6,negated_conjecture,
p16(X0,X0) ).
cnf(p11_7,negated_conjecture,
p11(c23,f12(f9(c21))) ).
cnf(p11_8,negated_conjecture,
p11(c24,f12(f9(c21))) ).
cnf(p11_15,negated_conjecture,
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ) ).
cnf(p17_21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) ).
cnf(not_p17_22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23) ).
cnf(p17_29,negated_conjecture,
( ~ p17(X4,X3,X5)
| ~ p11(X5,X2)
| ~ p16(X4,X0)
| ~ p3(X3,X1)
| p17(X0,X1,X2) ) ).
cnf(c0,plain,
p11(X0,X0),
inference(clausification,[status(esa)],[p11_1]) ).
cnf(c3,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_4]) ).
cnf(c5,plain,
p16(X0,X0),
inference(clausification,[status(esa)],[p16_6]) ).
cnf(c6,plain,
p11(c23,f12(f9(c21))),
inference(clausification,[status(esa)],[p11_7]) ).
cnf(c7,plain,
p11(c24,f12(f9(c21))),
inference(clausification,[status(esa)],[p11_8]) ).
cnf(c14,plain,
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
inference(clausification,[status(esa)],[p11_15]) ).
cnf(c20,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(clausification,[status(esa)],[p17_21]) ).
cnf(c21,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(clausification,[status(esa)],[not_p17_22]) ).
cnf(c28,plain,
( ~ p17(X0,X4,X2)
| p17(X1,X5,X3)
| ~ p3(X4,X5)
| ~ p11(X2,X3)
| ~ p16(X0,X1) ),
inference(clausification,[status(esa)],[p17_29]) ).
cnf(d0,plain,
( p17(X2,X1,X0)
| ~ p16(c19,X2)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X1)
| ~ p11(c24,X0) ),
inference(resolution,[status(thm)],[c28,c20]) ).
cnf(d1,plain,
( p17(X1,f4(f7(f10(c20),f8(f9(c21),c22))),X0)
| ~ p16(c19,X1)
| ~ p11(c24,X0) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ p16(c19,c19)
| ~ p11(c24,c23) ),
inference(resolution,[status(thm)],[d1,c21]) ).
cnf(d3,plain,
~ p11(c24,c23),
inference(resolution,[status(thm)],[c5,d2]) ).
cnf(d4,plain,
( ~ p11(X1,X0)
| p11(X0,X1) ),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(d5,plain,
p11(f12(f9(c21)),c23),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
p11(f12(f9(c21)),c24),
inference(resolution,[status(thm)],[d4,c7]) ).
cnf(d7,plain,
( ~ p11(f12(f9(c21)),X0)
| p11(X0,c24) ),
inference(resolution,[status(thm)],[d6,c14]) ).
cnf(d8,plain,
p11(c23,c24),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
p11(c24,c23),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.62 % Computer : n005.cluster.edu
% 0.15/0.62 % Model : x86_64 x86_64
% 0.15/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.62 % Memory : 8046.5625MB
% 0.15/0.62 % OS : Linux 6.8.0-71-generic
% 0.15/0.62 % CPULimit : 300
% 0.15/0.62 % WCLimit : 300
% 0.15/0.62 % DateTime : Sat Sep 26 18:16:02 UTC 2026
% 0.15/0.62 % CPUTime :
% 0.15/0.62 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.35/2.24 % SZS status Unsatisfiable for theBenchmark.p
% 8.35/2.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------