%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN605-1 : 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 : n007.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 115.88s 17.15s
% Output : CNFRefutation 115.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 13 unt; 0 nHn; 23 RR)
% Number of literals : 54 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X0,X0) ).
cnf(p3_4,negated_conjecture,
p3(X0,X0) ).
cnf(p3_6,negated_conjecture,
p3(f12(c22,c21),c22) ).
cnf(p2_12,negated_conjecture,
( ~ p3(X0,X1)
| p2(f9(X0),f9(X1)) ) ).
cnf(p3_19,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p17_20,negated_conjecture,
( ~ p17(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p17(X0,X1) ) ).
cnf(p17_23,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))) ).
cnf(p3_25,negated_conjecture,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p3(f10(X0,X1),f10(X2,X3)) ) ).
cnf(not_p17_29,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))) ).
cnf(c1,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_2]) ).
cnf(c3,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_4]) ).
cnf(c5,plain,
p3(f12(c22,c21),c22),
inference(clausification,[status(esa)],[p3_6]) ).
cnf(c11,plain,
( ~ p3(X0,X1)
| p2(f9(X0),f9(X1)) ),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c18,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_19]) ).
cnf(c19,plain,
( ~ p17(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p17(X0,X1) ),
inference(clausification,[status(esa)],[p17_20]) ).
cnf(c22,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))),
inference(clausification,[status(esa)],[p17_23]) ).
cnf(c24,plain,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p3(f10(X0,X1),f10(X2,X3)) ),
inference(clausification,[status(esa)],[p3_25]) ).
cnf(c28,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(clausification,[status(esa)],[not_p17_29]) ).
cnf(d0,plain,
( ~ p3(f12(c22,c21),X0)
| p3(c22,X0) ),
inference(resolution,[status(thm)],[c18,c5]) ).
cnf(d1,plain,
p3(c22,f12(c22,c21)),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( p17(X0,X1)
| ~ p2(f6(f7(f8(c20))),X1)
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),c22)),X0) ),
inference(resolution,[status(thm)],[c22,c19]) ).
cnf(d3,plain,
( ~ p3(f10(f14(f4(f9(c19)),c19),c22),X1)
| p17(f9(X1),X0)
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
( ~ p3(c22,X2)
| ~ p3(f14(f4(f9(c19)),c19),X1)
| p17(f9(f10(X1,X2)),X0)
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[status(thm)],[d3,c24]) ).
cnf(d5,plain,
( p17(f9(f10(f14(f4(f9(c19)),c19),X1)),X0)
| ~ p3(c22,X1)
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ p3(c22,f12(X0,c21))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(resolution,[status(thm)],[d5,c28]) ).
cnf(d7,plain,
~ p3(c22,f12(X0,c21)),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN605-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:13:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.88/17.15 % SZS status Unsatisfiable for theBenchmark.p
% 115.88/17.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------