%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN590-1 : 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 : n008.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 09:29:09 AM UTC 2026
% Result : Unsatisfiable 8.69s 5.06s
% Output : CNFRefutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 6 unt; 0 nHn; 25 RR)
% Number of literals : 58 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c16_is_p11_3,negated_conjecture,
p11(c16) ).
cnf(p3_8,negated_conjecture,
p3(f4(c16),f6(c15)) ).
cnf(p11_9,negated_conjecture,
( ~ p11(X0)
| p11(f9(X0)) ) ).
cnf(p12_11,negated_conjecture,
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ) ).
cnf(p3_18,negated_conjecture,
( ~ p11(X0)
| p3(f4(X0),f6(f8(X0))) ) ).
cnf(p10_19,negated_conjecture,
( ~ p11(X0)
| p10(f4(f9(X0)),f4(X0)) ) ).
cnf(not_p11_25,negated_conjecture,
( ~ p3(f4(X0),f6(X1))
| ~ p12(X1,c15)
| ~ p11(X0) ) ).
cnf(p10_26,negated_conjecture,
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ) ).
cnf(c2,plain,
p11(c16),
inference(clausification,[status(esa)],[c16_is_p11_3]) ).
cnf(c7,plain,
p3(f4(c16),f6(c15)),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c8,plain,
( ~ p11(X0)
| p11(f9(X0)) ),
inference(clausification,[status(esa)],[p11_9]) ).
cnf(c10,plain,
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_11]) ).
cnf(c17,plain,
( ~ p11(X0)
| p3(f4(X0),f6(f8(X0))) ),
inference(clausification,[status(esa)],[p3_18]) ).
cnf(c18,plain,
( ~ p11(X0)
| p10(f4(f9(X0)),f4(X0)) ),
inference(clausification,[status(esa)],[p10_19]) ).
cnf(c24,plain,
( ~ p3(f4(X0),f6(X1))
| ~ p12(X1,c15)
| ~ p11(X0) ),
inference(clausification,[status(esa)],[not_p11_25]) ).
cnf(c25,plain,
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
inference(clausification,[status(esa)],[p10_26]) ).
cnf(d0,plain,
( ~ p11(X0)
| ~ p12(f8(X0),c15)
| ~ p11(X0) ),
inference(resolution,[status(thm)],[c24,c17]) ).
cnf(d1,plain,
( ~ p11(X0)
| p10(X1,X2)
| ~ p3(f4(X0),X2)
| ~ p3(f4(f9(X0)),X1) ),
inference(resolution,[status(thm)],[c25,c18]) ).
cnf(d2,plain,
( ~ p11(f9(X0))
| p10(f6(f8(f9(X0))),X1)
| ~ p3(f4(X0),X1)
| ~ p11(X0) ),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d3,plain,
( p12(f8(f9(X0)),X1)
| ~ p3(f4(X0),f6(X1))
| ~ p11(f9(X0))
| ~ p11(X0) ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
( p12(f8(f9(c16)),c15)
| ~ p11(f9(c16))
| ~ p11(c16) ),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( p12(f8(f9(c16)),c15)
| ~ p11(f9(c16)) ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( ~ p11(f9(c16))
| ~ p11(f9(c16)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
~ p11(c16),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c2,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:15:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.69/5.06 % SZS status Unsatisfiable for theBenchmark.p
% 8.69/5.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------