%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN564-1 : 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 09:29:05 AM UTC 2026
% Result : Unsatisfiable 35.25s 5.47s
% Output : CNFRefutation 35.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 21 unt; 0 nHn; 19 RR)
% Number of literals : 64 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0) ).
cnf(p4_2,negated_conjecture,
p4(X0,X0) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X0)),f5(X0)) ).
cnf(p4_4,negated_conjecture,
p4(f8(X0,X1),f6(X0,f7(X1))) ).
cnf(p2_6,negated_conjecture,
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ) ).
cnf(p4_9,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p10_10,negated_conjecture,
p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))) ).
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))) ).
cnf(p10_12,negated_conjecture,
( ~ p10(f9(X0,X2),X1)
| p10(X0,f3(X1,X2)) ) ).
cnf(p10_13,negated_conjecture,
( ~ p10(X0,f3(X2,X1))
| p10(f9(X0,X1),X2) ) ).
cnf(p10_14,negated_conjecture,
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X3)) ) ).
cnf(c0,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c1,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_2]) ).
cnf(c2,plain,
p2(f5(f7(X0)),f5(X0)),
inference(clausification,[status(esa)],[p2_3]) ).
cnf(c3,plain,
p4(f8(X0,X1),f6(X0,f7(X1))),
inference(clausification,[status(esa)],[p4_4]) ).
cnf(c5,plain,
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c8,plain,
( ~ p4(X0,X2)
| p4(X1,X2)
| ~ p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_9]) ).
cnf(c9,plain,
p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
inference(clausification,[status(esa)],[p10_10]) ).
cnf(c10,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(clausification,[status(esa)],[not_p10_11]) ).
cnf(c11,plain,
( ~ p10(f9(X0,X2),X1)
| p10(X0,f3(X1,X2)) ),
inference(clausification,[status(esa)],[p10_12]) ).
cnf(c12,plain,
( ~ p10(X0,f3(X2,X1))
| p10(f9(X0,X1),X2) ),
inference(clausification,[status(esa)],[p10_13]) ).
cnf(c13,plain,
( ~ p10(X3,X0)
| ~ p2(X3,X2)
| p10(X2,X1)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p10_14]) ).
cnf(c15,plain,
( ~ p2(X2,X3)
| p2(f3(X0,X2),f3(X1,X3))
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p2_16]) ).
cnf(d0,plain,
p10(f9(f5(X0),f5(X1)),f5(f6(X0,X1))),
inference(resolution,[status(thm)],[c12,c9]) ).
cnf(d1,plain,
( ~ p10(X2,X0)
| p10(X2,X1)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(d2,plain,
( ~ p4(f8(X0,X1),X2)
| p4(f6(X0,f7(X1)),X2) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d3,plain,
p4(f6(X0,f7(X1)),f8(X0,X1)),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
p2(f5(f6(X0,f7(X1))),f5(f8(X0,X1))),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
( ~ p10(X0,f5(f6(X1,f7(X2))))
| p10(X0,f5(f8(X1,X2))) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
p10(f9(f5(X0),f5(f7(X1))),f5(f8(X0,X1))),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
p10(f5(X0),f3(f5(f8(X0,X1)),f5(f7(X1)))),
inference(resolution,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
( p2(f3(X0,f5(f7(X2))),f3(X1,f5(X2)))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(d9,plain,
p2(f3(X0,f5(f7(X1))),f3(X0,f5(X1))),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( ~ p10(X0,f3(X1,f5(f7(X2))))
| p10(X0,f3(X1,f5(X2))) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
p10(f5(X0),f3(f5(f8(X0,X1)),f5(X1))),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
p10(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(resolution,[status(thm)],[d11,c12]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:12:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.25/5.47 % SZS status Unsatisfiable for theBenchmark.p
% 35.25/5.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------