%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:51:01 EDT 2024
% Result : Unsatisfiable 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 76 ( 0 equ; 55 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 74 ( 73 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_6_04,axiom,
'E'(f(X2),s(s(s(s('0'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_04) ).
cnf(clause_8_05,axiom,
'E'(f(X5),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_05) ).
cnf(clause_1_10,axiom,
( ~ 'E'(f(X8),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s('0'))))))
| 'E'(f(X9),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_10) ).
cnf(c0,plain,
( ~ 'E'(f(X15),s(s(s(s('0')))))
| 'E'(f(X14),s(s(s('0')))) ),
inference(resolution,[status(thm)],[clause_1_10,clause_8_05]) ).
cnf(c2,plain,
'E'(f(X16),s(s(s('0')))),
inference(resolution,[status(thm)],[c0,clause_6_04]) ).
cnf(clause_5_03,axiom,
( ~ 'E'(f(X47),s(s('0')))
| ~ 'E'(f(X44),s(s(s(s('0')))))
| ~ 'E'(f(X45),s(s(s('0'))))
| ~ 'E'(f(X43),s('0'))
| ~ 'E'(f(X48),'0')
| ~ 'E'(f(X46),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_03) ).
cnf(c10,plain,
( ~ 'E'(f(X51),s(s('0')))
| ~ 'E'(f(X55),s(s(s(s('0')))))
| ~ 'E'(f(X54),s(s(s('0'))))
| ~ 'E'(f(X53),s('0'))
| ~ 'E'(f(X52),'0') ),
inference(resolution,[status(thm)],[clause_5_03,clause_8_05]) ).
cnf(c11,plain,
( ~ 'E'(f(X57),s(s('0')))
| ~ 'E'(f(X58),s(s(s('0'))))
| ~ 'E'(f(X59),s('0'))
| ~ 'E'(f(X56),'0') ),
inference(resolution,[status(thm)],[c10,clause_6_04]) ).
cnf(c12,plain,
( ~ 'E'(f(X60),s(s('0')))
| ~ 'E'(f(X62),s('0'))
| ~ 'E'(f(X61),'0') ),
inference(resolution,[status(thm)],[c11,c2]) ).
cnf(clause_4_12,axiom,
( ~ 'E'(f(X63),s(s(s(s('0')))))
| ~ 'E'(f(X64),s(s(s(s(s('0'))))))
| ~ 'E'(f(X65),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X66)),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_12) ).
cnf(c13,plain,
( ~ 'E'(f(X74),s(s(s(s('0')))))
| ~ 'E'(f(X73),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X75)),s(s('0'))) ),
inference(resolution,[status(thm)],[clause_4_12,clause_8_05]) ).
cnf(c15,plain,
( ~ 'E'(f(X76),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X77)),s(s('0'))) ),
inference(resolution,[status(thm)],[c13,clause_6_04]) ).
cnf(c16,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X78)),s(s('0'))),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(c17,plain,
( ~ 'E'(f(X80),s('0'))
| ~ 'E'(f(X79),'0') ),
inference(resolution,[status(thm)],[c16,c12]) ).
cnf(clause_12_09,axiom,
( ~ 'E'(f(X82),s(s(s(s('0')))))
| ~ 'E'(f(X83),s(s(s(s(s('0'))))))
| ~ 'E'(f(X84),s(s(s('0'))))
| ~ 'E'(f(X86),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X85)),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_09) ).
cnf(c19,plain,
( ~ 'E'(f(X89),s(s(s(s('0')))))
| ~ 'E'(f(X87),s(s(s('0'))))
| ~ 'E'(f(X88),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X90)),s('0')) ),
inference(resolution,[status(thm)],[clause_12_09,clause_8_05]) ).
cnf(c20,plain,
( ~ 'E'(f(X92),s(s(s('0'))))
| ~ 'E'(f(X93),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X91)),s('0')) ),
inference(resolution,[status(thm)],[c19,clause_6_04]) ).
cnf(c21,plain,
( ~ 'E'(f(X95),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X94)),s('0')) ),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(c22,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X96)),s('0')),
inference(resolution,[status(thm)],[c21,c16]) ).
cnf(c23,plain,
~ 'E'(f(X97),'0'),
inference(resolution,[status(thm)],[c22,c17]) ).
cnf(clause_2_07,axiom,
( ~ 'E'(f(X72),s(s('0')))
| ~ 'E'(f(X68),s(s(s(s('0')))))
| ~ 'E'(f(X70),s(s(s('0'))))
| ~ 'E'(f(X67),s('0'))
| ~ 'E'(f(X69),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X71)),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_07) ).
cnf(c14,plain,
( ~ 'E'(f(X105),s(s('0')))
| ~ 'E'(f(X108),s(s(s(s('0')))))
| ~ 'E'(f(X106),s(s(s('0'))))
| ~ 'E'(f(X104),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X107)),'0') ),
inference(resolution,[status(thm)],[clause_2_07,clause_8_05]) ).
cnf(c25,plain,
( ~ 'E'(f(X112),s(s('0')))
| ~ 'E'(f(X111),s(s(s('0'))))
| ~ 'E'(f(X110),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X109)),'0') ),
inference(resolution,[status(thm)],[c14,clause_6_04]) ).
cnf(c26,plain,
( ~ 'E'(f(X114),s(s('0')))
| ~ 'E'(f(X113),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X115)),'0') ),
inference(resolution,[status(thm)],[c25,c2]) ).
cnf(c27,plain,
( ~ 'E'(f(X117),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X116)),'0') ),
inference(resolution,[status(thm)],[c26,c16]) ).
cnf(c28,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X118)),'0'),
inference(resolution,[status(thm)],[c27,c22]) ).
cnf(c29,plain,
$false,
inference(resolution,[status(thm)],[c28,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 17:44:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.42/0.61 % Version: 1.5
% 0.42/0.61 % SZS status Unsatisfiable
% 0.42/0.61 % SZS output start CNFRefutation
% See solution above
% 0.42/0.61
% 0.42/0.61 % Initial clauses : 13
% 0.42/0.61 % Processed clauses : 42
% 0.42/0.61 % Factors computed : 0
% 0.42/0.61 % Resolvents computed: 31
% 0.42/0.61 % Tautologies deleted: 0
% 0.42/0.61 % Forward subsumed : 0
% 0.42/0.61 % Backward subsumed : 29
% 0.42/0.61 % -------- CPU Time ---------
% 0.42/0.61 % User time : 0.228 s
% 0.42/0.61 % System time : 0.014 s
% 0.42/0.61 % Total time : 0.242 s
%------------------------------------------------------------------------------