%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:51:04 EDT 2024
% Result : Unsatisfiable 4.50s 4.69s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 9 unt; 11 nHn; 30 RR)
% Number of literals : 137 ( 0 equ; 99 neg)
% Maximal clause size : 19 ( 4 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 : 26 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_99,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_99) ).
cnf(clause_199,axiom,
'LE'(f(X2),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_199) ).
cnf(clause_17,axiom,
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(c0,plain,
( 'E'('0',f(X4))
| 'LE'(f(X4),'0') ),
inference(resolution,[status(thm)],[clause_17,clause_199]) ).
cnf(c1,plain,
'E'('0',f(z)),
inference(resolution,[status(thm)],[c0,clause_99]) ).
cnf(clause_191,axiom,
( ~ 'LE'(f(suc(X9)),s('0'))
| 'E'('0',f(suc(X9)))
| 'LE'(f(X9),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_191) ).
cnf(c4,plain,
( 'E'('0',f(suc(X10)))
| 'LE'(f(X10),'0') ),
inference(resolution,[status(thm)],[clause_191,clause_199]) ).
cnf(c5,plain,
'E'('0',f(suc(z))),
inference(resolution,[status(thm)],[c4,clause_99]) ).
cnf(clause_3,axiom,
( ~ 'LE'(f(suc(suc(X11))),s('0'))
| 'E'('0',f(suc(suc(X11))))
| 'LE'(f(X11),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c6,plain,
( 'E'('0',f(suc(suc(X12))))
| 'LE'(f(X12),'0') ),
inference(resolution,[status(thm)],[clause_3,clause_199]) ).
cnf(c7,plain,
'E'('0',f(suc(suc(z)))),
inference(resolution,[status(thm)],[c6,clause_99]) ).
cnf(clause_44,axiom,
( ~ 'E'('0',f(X17))
| ~ 'E'('0',f(suc(X17)))
| 'E'(f(X17),f(suc(X17)))
| iLEQ(suc(X17),suc(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
cnf(c11,plain,
( ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[clause_44,c5]) ).
cnf(c15,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c11,c1]) ).
cnf(clause_149,axiom,
( ~ 'E'('0',f(suc(suc(X25))))
| ~ 'E'('0',f(suc(X25)))
| ~ 'E'(f(X25),f(suc(X25)))
| ~ 'E'('0',f(X25))
| iLEQ(suc(X25),suc(X25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_149) ).
cnf(c38,plain,
( ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[clause_149,c15]) ).
cnf(c52,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c38,c7]) ).
cnf(c55,plain,
( ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,[status(thm)],[c52,c5]) ).
cnf(c58,plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[status(thm)],[c55,c1]) ).
cnf(clause_16,axiom,
( ~ 'E'('0',f(suc(X18)))
| ~ iLEQ(suc(X21),suc(X20))
| ~ 'E'('0',f(suc(X19)))
| ~ 'E'('0',f(X18))
| ~ 'E'('0',f(X19))
| ~ 'E'('0',f(X20))
| ~ 'E'('0',f(suc(X21)))
| ~ iLEQ(suc(X19),suc(X18))
| ~ 'E'('0',f(suc(X20)))
| ~ 'E'('0',f(X21))
| ~ iLEQ(suc(X18),suc(X21))
| 'E'(f(X19),f(suc(X19)))
| 'E'(f(X18),f(suc(X18)))
| 'E'(f(X21),f(suc(X21)))
| 'E'(f(X20),f(suc(X20))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(c18,plain,
( ~ 'E'('0',f(suc(X128)))
| ~ iLEQ(suc(X128),suc(X128))
| ~ 'E'('0',f(suc(X129)))
| ~ 'E'('0',f(X128))
| ~ 'E'('0',f(X129))
| ~ iLEQ(suc(X129),suc(X128))
| 'E'(f(X129),f(suc(X129)))
| 'E'(f(X128),f(suc(X128))) ),
inference(factor,[status(thm)],[clause_16]) ).
cnf(c228,plain,
( ~ 'E'('0',f(suc(X130)))
| ~ iLEQ(suc(X130),suc(X130))
| ~ 'E'('0',f(X130))
| 'E'(f(X130),f(suc(X130))) ),
inference(factor,[status(thm)],[c18]) ).
cnf(c241,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z))) ),
inference(resolution,[status(thm)],[c228,c58]) ).
cnf(c250,plain,
( ~ 'E'('0',f(z))
| 'E'(f(z),f(suc(z))) ),
inference(resolution,[status(thm)],[c241,c5]) ).
cnf(c253,plain,
'E'(f(z),f(suc(z))),
inference(resolution,[status(thm)],[c250,c1]) ).
cnf(clause_96,axiom,
( ~ 'E'('0',f(suc(X48)))
| ~ iLEQ(suc(X51),suc(X50))
| ~ 'E'('0',f(suc(suc(X48))))
| ~ 'E'('0',f(suc(X49)))
| ~ 'E'('0',f(suc(suc(X49))))
| ~ 'E'('0',f(X48))
| ~ 'E'('0',f(X49))
| ~ 'E'('0',f(X50))
| ~ 'E'('0',f(suc(X51)))
| ~ 'E'(f(X51),f(suc(X51)))
| ~ 'E'('0',f(suc(suc(X51))))
| ~ 'E'(f(X49),f(suc(X49)))
| ~ 'E'(f(X48),f(suc(X48)))
| ~ iLEQ(suc(X49),suc(X48))
| ~ 'E'('0',f(suc(X50)))
| ~ 'E'('0',f(X51))
| ~ 'E'('0',f(suc(suc(X50))))
| ~ 'E'(f(X50),f(suc(X50)))
| ~ iLEQ(suc(X48),suc(X51)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_96) ).
cnf(c93,plain,
( ~ 'E'('0',f(suc(X321)))
| ~ iLEQ(suc(X320),suc(X320))
| ~ 'E'('0',f(suc(suc(X321))))
| ~ 'E'('0',f(suc(X322)))
| ~ 'E'('0',f(suc(suc(X322))))
| ~ 'E'('0',f(X321))
| ~ 'E'('0',f(X322))
| ~ 'E'('0',f(X320))
| ~ 'E'('0',f(suc(X320)))
| ~ 'E'(f(X320),f(suc(X320)))
| ~ 'E'('0',f(suc(suc(X320))))
| ~ 'E'(f(X322),f(suc(X322)))
| ~ 'E'(f(X321),f(suc(X321)))
| ~ iLEQ(suc(X322),suc(X321))
| ~ iLEQ(suc(X321),suc(X320)) ),
inference(factor,[status(thm)],[clause_96]) ).
cnf(c550,plain,
( ~ 'E'('0',f(suc(X558)))
| ~ iLEQ(suc(X558),suc(X558))
| ~ 'E'('0',f(suc(suc(X558))))
| ~ 'E'('0',f(suc(X559)))
| ~ 'E'('0',f(suc(suc(X559))))
| ~ 'E'('0',f(X558))
| ~ 'E'('0',f(X559))
| ~ 'E'(f(X558),f(suc(X558)))
| ~ 'E'(f(X559),f(suc(X559)))
| ~ iLEQ(suc(X559),suc(X558)) ),
inference(factor,[status(thm)],[c93]) ).
cnf(c790,plain,
( ~ 'E'('0',f(suc(X560)))
| ~ iLEQ(suc(X560),suc(X560))
| ~ 'E'('0',f(suc(suc(X560))))
| ~ 'E'('0',f(X560))
| ~ 'E'(f(X560),f(suc(X560))) ),
inference(factor,[status(thm)],[c550]) ).
cnf(c798,plain,
( ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c790,c253]) ).
cnf(c805,plain,
( ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c798,c7]) ).
cnf(c807,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[status(thm)],[c805,c58]) ).
cnf(c810,plain,
~ 'E'('0',f(z)),
inference(resolution,[status(thm)],[c807,c5]) ).
cnf(c813,plain,
$false,
inference(resolution,[status(thm)],[c810,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 18:05:37 EDT 2024
% 0.12/0.34 % CPUTime :
% 4.50/4.69 % Version: 1.5
% 4.50/4.69 % SZS status Unsatisfiable
% 4.50/4.69 % SZS output start CNFRefutation
% See solution above
% 4.50/4.69
% 4.50/4.69 % Initial clauses : 23
% 4.50/4.69 % Processed clauses : 162
% 4.50/4.69 % Factors computed : 88
% 4.50/4.69 % Resolvents computed: 726
% 4.50/4.69 % Tautologies deleted: 0
% 4.50/4.69 % Forward subsumed : 351
% 4.50/4.69 % Backward subsumed : 79
% 4.50/4.69 % -------- CPU Time ---------
% 4.50/4.69 % User time : 4.336 s
% 4.50/4.69 % System time : 0.010 s
% 4.50/4.69 % Total time : 4.346 s
%------------------------------------------------------------------------------