%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN556-1 : 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 09:29:04 AM UTC 2026
% Result : Unsatisfiable 39.84s 7.12s
% Output : CNFRefutation 39.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 15 unt; 0 nHn; 32 RR)
% Number of literals : 83 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p3_2,negated_conjecture,
p3(X0,X0) ).
cnf(p2_3,negated_conjecture,
p2(c10,c13) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ) ).
cnf(p3_7,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p3_8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)) ).
cnf(not_p3_9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ).
cnf(p2_10,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p2_11,negated_conjecture,
( ~ p3(X0,X2)
| ~ p2(X1,X3)
| p2(f8(X0,X1),f8(X2,X3)) ) ).
cnf(p3_12,negated_conjecture,
( ~ p2(X0,X3)
| ~ p3(X2,X5)
| ~ p2(X1,X4)
| p3(f4(X0,X1,X2),f4(X3,X4,X5)) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_2]) ).
cnf(c2,plain,
p2(c10,c13),
inference(clausification,[status(esa)],[p2_3]) ).
cnf(c5,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c6,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c7,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c8,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(clausification,[status(esa)],[not_p3_9]) ).
cnf(c9,plain,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f5(X0,X1),f5(X2,X3)) ),
inference(clausification,[status(esa)],[p2_10]) ).
cnf(c10,plain,
( ~ p3(X0,X2)
| ~ p2(X1,X3)
| p2(f8(X0,X1),f8(X2,X3)) ),
inference(clausification,[status(esa)],[p2_11]) ).
cnf(c11,plain,
( ~ p2(X0,X3)
| ~ p3(X2,X5)
| ~ p2(X1,X4)
| p3(f4(X0,X1,X2),f4(X3,X4,X5)) ),
inference(clausification,[status(esa)],[p3_12]) ).
cnf(d0,plain,
( ~ p2(f8(X2,X0),X4)
| p2(f8(X3,X1),X4)
| ~ p3(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( ~ p3(X3,X2)
| p2(f8(X2,X1),f8(X3,X0))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( ~ p3(f4(X0,X2,X4),X6)
| p3(X6,f4(X1,X3,X5))
| ~ p3(X4,X5)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c11,c6]) ).
cnf(d5,plain,
( ~ p3(c11,X2)
| p3(c9,f4(X1,X0,X2))
| ~ p2(c13,X1)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),X0) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ p2(f8(c11,c13),X1)
| ~ p2(f6(f7(c12)),X2)
| ~ p3(c11,X3)
| p3(c9,f4(X0,f5(X1,X2),X3))
| ~ p2(c13,X0) ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( ~ p3(c11,c11)
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p2(c13,c10) ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
( ~ p3(c11,c11)
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(c13,c10) ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(c13,c10) ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( ~ p2(c10,X0)
| p2(c13,X0) ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(d11,plain,
p2(c13,c10),
inference(resolution,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
~ p2(f8(c11,c13),f8(c11,c10)),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( ~ p3(c11,c11)
| ~ p2(c10,c13) ),
inference(resolution,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
~ p2(c10,c13),
inference(resolution,[status(thm)],[c1,d13]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c2,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:11:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.84/7.12 % SZS status Unsatisfiable for theBenchmark.p
% 39.84/7.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------