%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:51:05 EDT 2024
% Result : Unsatisfiable 3.07s 3.30s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of clauses : 57 ( 10 unt; 27 nHn; 46 RR)
% Number of literals : 180 ( 0 equ; 103 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_24,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_34,axiom,
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_17,axiom,
'LE'(f(X2),s(s('0'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_9,axiom,
( ~ 'LE'(f(X5),s(s('0')))
| 'E'(s('0'),f(X5))
| 'LE'(f(X5),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(c0,plain,
( 'E'(s('0'),f(X8))
| 'LE'(f(X8),s('0')) ),
inference(resolution,[status(thm)],[clause_9,clause_17]) ).
cnf(clause_32,axiom,
( ~ 'LE'(f(suc(X18)),s(s('0')))
| 'E'(s('0'),f(suc(X18)))
| 'LE'(f(X18),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(c34,plain,
( 'E'(s('0'),f(suc(X19)))
| 'LE'(f(X19),s('0')) ),
inference(resolution,[status(thm)],[clause_32,clause_17]) ).
cnf(clause_23,axiom,
( ~ 'E'(s('0'),f(X16))
| ~ 'E'(s('0'),f(suc(X16)))
| 'E'(f(X16),f(suc(X16)))
| iLEQ(suc(X16),suc(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(c35,plain,
( 'LE'(f(X31),s('0'))
| ~ 'E'(s('0'),f(X31))
| 'E'(f(X31),f(suc(X31)))
| iLEQ(suc(X31),suc(X31)) ),
inference(resolution,[status(thm)],[c34,clause_23]) ).
cnf(c108,plain,
( 'LE'(f(X32),s('0'))
| 'E'(f(X32),f(suc(X32)))
| iLEQ(suc(X32),suc(X32)) ),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(clause_52,axiom,
( ~ iLEQ(suc(X44),suc(X45))
| ~ 'E'(s('0'),f(X44))
| ~ 'E'(s('0'),f(suc(X44)))
| ~ 'E'(s('0'),f(suc(X45)))
| ~ 'E'(s('0'),f(X45))
| 'E'(f(X44),f(suc(X44)))
| 'E'(f(X45),f(suc(X45))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_52) ).
cnf(c177,plain,
( ~ iLEQ(suc(X46),suc(X46))
| ~ 'E'(s('0'),f(X46))
| ~ 'E'(s('0'),f(suc(X46)))
| 'E'(f(X46),f(suc(X46))) ),
inference(factor,[status(thm)],[clause_52]) ).
cnf(c201,plain,
( ~ iLEQ(suc(X47),suc(X47))
| ~ 'E'(s('0'),f(X47))
| 'E'(f(X47),f(suc(X47)))
| 'LE'(f(X47),s('0')) ),
inference(resolution,[status(thm)],[c177,c34]) ).
cnf(c233,plain,
( ~ iLEQ(suc(X48),suc(X48))
| 'E'(f(X48),f(suc(X48)))
| 'LE'(f(X48),s('0')) ),
inference(resolution,[status(thm)],[c201,c0]) ).
cnf(c241,plain,
( 'E'(f(X49),f(suc(X49)))
| 'LE'(f(X49),s('0')) ),
inference(resolution,[status(thm)],[c233,c108]) ).
cnf(clause_45,axiom,
( ~ 'LE'(f(suc(suc(X11))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X11))))
| 'LE'(f(X11),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_45) ).
cnf(c10,plain,
( 'E'(s('0'),f(suc(suc(X12))))
| 'LE'(f(X12),s('0')) ),
inference(resolution,[status(thm)],[clause_45,clause_17]) ).
cnf(clause_5,axiom,
( ~ 'E'(s('0'),f(suc(suc(X51))))
| ~ 'E'(s('0'),f(suc(X51)))
| ~ 'E'(f(X51),f(suc(X51)))
| ~ 'E'(s('0'),f(X51))
| iLEQ(suc(X51),suc(X51)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(c261,plain,
( ~ 'E'(s('0'),f(suc(X211)))
| ~ 'E'(f(X211),f(suc(X211)))
| ~ 'E'(s('0'),f(X211))
| iLEQ(suc(X211),suc(X211))
| 'LE'(f(X211),s('0')) ),
inference(resolution,[status(thm)],[clause_5,c10]) ).
cnf(c1992,plain,
( ~ 'E'(s('0'),f(suc(X212)))
| ~ 'E'(s('0'),f(X212))
| iLEQ(suc(X212),suc(X212))
| 'LE'(f(X212),s('0')) ),
inference(resolution,[status(thm)],[c261,c241]) ).
cnf(c2028,plain,
( ~ 'E'(s('0'),f(X214))
| iLEQ(suc(X214),suc(X214))
| 'LE'(f(X214),s('0')) ),
inference(resolution,[status(thm)],[c1992,c34]) ).
cnf(c2092,plain,
( iLEQ(suc(X215),suc(X215))
| 'LE'(f(X215),s('0')) ),
inference(resolution,[status(thm)],[c2028,c0]) ).
cnf(clause_33,axiom,
( ~ iLEQ(suc(X59),suc(X60))
| ~ 'E'(s('0'),f(suc(suc(X59))))
| ~ 'E'(s('0'),f(X59))
| ~ 'E'(s('0'),f(suc(suc(X60))))
| ~ 'E'(s('0'),f(suc(X59)))
| ~ 'E'(s('0'),f(suc(X60)))
| ~ 'E'(s('0'),f(X60))
| ~ 'E'(f(X60),f(suc(X60)))
| ~ 'E'(f(X59),f(suc(X59))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
cnf(c345,plain,
( ~ iLEQ(suc(X394),suc(X394))
| ~ 'E'(s('0'),f(suc(suc(X394))))
| ~ 'E'(s('0'),f(X394))
| ~ 'E'(s('0'),f(suc(X394)))
| ~ 'E'(f(X394),f(suc(X394))) ),
inference(factor,[status(thm)],[clause_33]) ).
cnf(c3732,plain,
( ~ iLEQ(suc(X395),suc(X395))
| ~ 'E'(s('0'),f(X395))
| ~ 'E'(s('0'),f(suc(X395)))
| ~ 'E'(f(X395),f(suc(X395)))
| 'LE'(f(X395),s('0')) ),
inference(resolution,[status(thm)],[c345,c10]) ).
cnf(c3756,plain,
( ~ iLEQ(suc(X396),suc(X396))
| ~ 'E'(s('0'),f(X396))
| ~ 'E'(s('0'),f(suc(X396)))
| 'LE'(f(X396),s('0')) ),
inference(resolution,[status(thm)],[c3732,c241]) ).
cnf(c3815,plain,
( ~ iLEQ(suc(X397),suc(X397))
| ~ 'E'(s('0'),f(X397))
| 'LE'(f(X397),s('0')) ),
inference(resolution,[status(thm)],[c3756,c34]) ).
cnf(c3856,plain,
( ~ iLEQ(suc(X398),suc(X398))
| 'LE'(f(X398),s('0')) ),
inference(resolution,[status(thm)],[c3815,c0]) ).
cnf(c3871,plain,
'LE'(f(X400),s('0')),
inference(resolution,[status(thm)],[c3856,c2092]) ).
cnf(c3921,plain,
( 'E'('0',f(X401))
| 'LE'(f(X401),'0') ),
inference(resolution,[status(thm)],[c3871,clause_34]) ).
cnf(c3929,plain,
'E'('0',f(z)),
inference(resolution,[status(thm)],[c3921,clause_24]) ).
cnf(clause_40,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40) ).
cnf(c3920,plain,
( 'E'('0',f(suc(X402)))
| 'LE'(f(X402),'0') ),
inference(resolution,[status(thm)],[c3871,clause_40]) ).
cnf(c3942,plain,
'E'('0',f(suc(z))),
inference(resolution,[status(thm)],[c3920,clause_24]) ).
cnf(clause_51,axiom,
( ~ 'LE'(f(suc(suc(X14))),s('0'))
| 'E'('0',f(suc(suc(X14))))
| 'LE'(f(X14),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
cnf(c3919,plain,
( 'E'('0',f(suc(suc(X404))))
| 'LE'(f(X404),'0') ),
inference(resolution,[status(thm)],[c3871,clause_51]) ).
cnf(c3957,plain,
'E'('0',f(suc(suc(z)))),
inference(resolution,[status(thm)],[c3919,clause_24]) ).
cnf(clause_41,axiom,
( ~ 'E'('0',f(suc(suc(X30))))
| ~ 'E'('0',f(suc(X30)))
| ~ 'E'(f(X30),f(suc(X30)))
| ~ 'E'('0',f(X30))
| iLEQ(suc(X30),suc(X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_41) ).
cnf(clause_26,axiom,
( ~ 'E'('0',f(X27))
| ~ 'E'('0',f(suc(X27)))
| 'E'(f(X27),f(suc(X27)))
| iLEQ(suc(X27),suc(X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(c3947,plain,
( ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c3942,clause_26]) ).
cnf(c3966,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c3947,c3929]) ).
cnf(c3969,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c3966,clause_41]) ).
cnf(c4071,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c3969,c3957]) ).
cnf(c4077,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c4071,c3942]) ).
cnf(c4079,plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[status(thm)],[c4077,c3929]) ).
cnf(clause_43,axiom,
( ~ 'E'('0',f(suc(X39)))
| ~ 'E'('0',f(suc(suc(X40))))
| ~ 'E'('0',f(suc(suc(X39))))
| ~ 'E'('0',f(X39))
| ~ iLEQ(suc(X39),suc(X40))
| ~ 'E'('0',f(X40))
| ~ 'E'(f(X39),f(suc(X39)))
| ~ 'E'(f(X40),f(suc(X40)))
| ~ 'E'('0',f(suc(X40))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_43) ).
cnf(c169,plain,
( ~ 'E'('0',f(suc(X133)))
| ~ 'E'('0',f(suc(suc(X133))))
| ~ 'E'('0',f(X133))
| ~ iLEQ(suc(X133),suc(X133))
| ~ 'E'(f(X133),f(suc(X133))) ),
inference(factor,[status(thm)],[clause_43]) ).
cnf(clause_10,axiom,
( ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X6))
| ~ iLEQ(suc(X6),suc(X7))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(suc(X7)))
| 'E'(f(X6),f(suc(X6)))
| 'E'(f(X7),f(suc(X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(c1,plain,
( ~ 'E'('0',f(suc(X28)))
| ~ 'E'('0',f(X28))
| ~ iLEQ(suc(X28),suc(X28))
| 'E'(f(X28),f(suc(X28))) ),
inference(factor,[status(thm)],[clause_10]) ).
cnf(c3974,plain,
( 'E'(f(z),f(suc(z)))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c3966,c1]) ).
cnf(c3979,plain,
( 'E'(f(z),f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c3974,c3942]) ).
cnf(c3981,plain,
'E'(f(z),f(suc(z))),
inference(resolution,[status(thm)],[c3979,c3929]) ).
cnf(c3982,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c3981,c169]) ).
cnf(c4084,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c3982,c3957]) ).
cnf(c4088,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c4084,c4079]) ).
cnf(c4091,plain,
~ 'E'('0',f(z)),
inference(resolution,[status(thm)],[c4088,c3942]) ).
cnf(c4093,plain,
$false,
inference(resolution,[status(thm)],[c4091,c3929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n017.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 18:11:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 3.07/3.30 % Version: 1.5
% 3.07/3.30 % SZS status Unsatisfiable
% 3.07/3.30 % SZS output start CNFRefutation
% See solution above
% 3.07/3.30
% 3.07/3.30 % Initial clauses : 20
% 3.07/3.30 % Processed clauses : 260
% 3.07/3.30 % Factors computed : 12
% 3.07/3.30 % Resolvents computed: 4082
% 3.07/3.30 % Tautologies deleted: 20
% 3.07/3.30 % Forward subsumed : 540
% 3.07/3.30 % Backward subsumed : 215
% 3.07/3.30 % -------- CPU Time ---------
% 3.07/3.30 % User time : 2.894 s
% 3.07/3.30 % System time : 0.035 s
% 3.07/3.30 % Total time : 2.929 s
%------------------------------------------------------------------------------