%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN566-1 : 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 : n016.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 09:29:06 AM UTC 2026
% Result : Unsatisfiable 11.07s 2.86s
% Output : CNFRefutation 11.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 21 unt; 0 nHn; 35 RR)
% Number of literals : 75 ( 0 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X0,X0) ).
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p7_4,negated_conjecture,
p7(X0,X0) ).
cnf(p10_5,negated_conjecture,
p10(c15,c11) ).
cnf(p8_6,negated_conjecture,
p8(c12,c13) ).
cnf(p2_7,negated_conjecture,
p2(c14,f6(c15)) ).
cnf(p3_8,negated_conjecture,
p3(c13,f4(c14)) ).
cnf(p3_9,negated_conjecture,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ) ).
cnf(p3_14,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p8_16,negated_conjecture,
( ~ p8(X0,f4(f6(X1)))
| p8(X0,f4(f5(X1))) ) ).
cnf(p8_18,negated_conjecture,
( ~ p3(X3,X1)
| ~ p8(X2,X3)
| ~ p7(X2,X0)
| p8(X0,X1) ) ).
cnf(not_p10_19,negated_conjecture,
( ~ p2(X2,f5(X0))
| ~ p3(X1,f4(X2))
| ~ p8(c12,X1)
| ~ p10(X0,c11) ) ).
cnf(c1,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_2]) ).
cnf(c2,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_3]) ).
cnf(c3,plain,
p7(X0,X0),
inference(clausification,[status(esa)],[p7_4]) ).
cnf(c4,plain,
p10(c15,c11),
inference(clausification,[status(esa)],[p10_5]) ).
cnf(c5,plain,
p8(c12,c13),
inference(clausification,[status(esa)],[p8_6]) ).
cnf(c6,plain,
p2(c14,f6(c15)),
inference(clausification,[status(esa)],[p2_7]) ).
cnf(c7,plain,
p3(c13,f4(c14)),
inference(clausification,[status(esa)],[p3_8]) ).
cnf(c8,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(clausification,[status(esa)],[p3_9]) ).
cnf(c13,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_14]) ).
cnf(c15,plain,
( ~ p8(X0,f4(f6(X1)))
| p8(X0,f4(f5(X1))) ),
inference(clausification,[status(esa)],[p8_16]) ).
cnf(c17,plain,
( ~ p3(X3,X1)
| ~ p8(X2,X3)
| ~ p7(X2,X0)
| p8(X0,X1) ),
inference(clausification,[status(esa)],[p8_18]) ).
cnf(c18,plain,
( ~ p2(X2,f5(X0))
| ~ p3(X1,f4(X2))
| ~ p8(c12,X1)
| ~ p10(X0,c11) ),
inference(clausification,[status(esa)],[not_p10_19]) ).
cnf(d0,plain,
( ~ p8(c12,f4(X0))
| ~ p10(X1,c11)
| ~ p2(X0,f5(X1)) ),
inference(resolution,[status(thm)],[c18,c2]) ).
cnf(d1,plain,
( p8(X1,X0)
| ~ p7(c12,X1)
| ~ p3(c13,X0) ),
inference(resolution,[status(thm)],[c17,c5]) ).
cnf(d2,plain,
( p8(c12,X0)
| ~ p3(c13,X0) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d4,plain,
p3(f4(c14),c13),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( ~ p3(f4(c14),X0)
| p3(X0,c13) ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d6,plain,
( ~ p2(X2,X1)
| ~ p3(f4(X2),X0)
| p3(X0,f4(X1)) ),
inference(resolution,[status(thm)],[c13,c8]) ).
cnf(d7,plain,
( ~ p2(X0,X2)
| p3(f4(X2),f4(X1))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
( p3(f4(X0),f4(f6(c15)))
| ~ p2(c14,X0) ),
inference(resolution,[status(thm)],[d7,c6]) ).
cnf(d9,plain,
( p3(f4(f6(c15)),c13)
| ~ p2(c14,c14) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
p3(f4(f6(c15)),c13),
inference(resolution,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
p3(c13,f4(f6(c15))),
inference(resolution,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
p8(c12,f4(f6(c15))),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
p8(c12,f4(f5(c15))),
inference(resolution,[status(thm)],[d12,c15]) ).
cnf(d14,plain,
( ~ p10(X0,c11)
| ~ p2(f5(c15),f5(X0)) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
~ p10(c15,c11),
inference(resolution,[status(thm)],[d14,c1]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c4,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:19:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.07/2.86 % SZS status Unsatisfiable for theBenchmark.p
% 11.07/2.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------