%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : 600s
% DateTime : Mon Jul 18 16:26:08 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 26 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 214 ( 89 ~; 81 |; 44 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 134 ( 14 sgn 45 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(zerotimeszeroeqzero,conjecture,
? [X63] :
( ? [X46] :
( r1(X46)
& r4(X46,X46,X63) )
& ? [X47] :
( id(X63,X47)
& r1(X47) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zerotimeszeroeqzero) ).
fof(c_0_10,plain,
! [X20,X21,X22] :
( ~ id(X20,X21)
| id(X20,X22)
| ~ id(X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7])]) ).
fof(c_0_11,plain,
! [X57] :
( id(esk2_1(X57),X57)
& r1(esk3_1(X57))
& r3(X57,esk3_1(X57),esk2_1(X57)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
fof(c_0_12,plain,
! [X4] :
( ( ~ r1(X4)
| id(X4,esk1_0) )
& ( ~ id(X4,esk1_0)
| id(X4,esk1_0) )
& ( ~ r1(X4)
| r1(X4) )
& ( ~ id(X4,esk1_0)
| r1(X4) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
fof(c_0_13,plain,
! [X61] :
( r1(esk5_1(X61))
& r4(X61,esk5_1(X61),esk4_1(X61))
& id(esk4_1(X61),esk6_1(X61))
& r1(esk6_1(X61)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).
fof(c_0_14,plain,
! [X17,X18] :
( ~ id(X17,X18)
| id(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).
cnf(c_0_15,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
id(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
r1(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X10,X11,X13] :
( ( ~ r3(X10,X11,X13)
| id(X13,esk15_2(X10,X11)) )
& ( ~ id(X13,esk15_2(X10,X11))
| id(X13,esk15_2(X10,X11)) )
& ( ~ r3(X10,X11,X13)
| r3(X10,X11,X13) )
& ( ~ id(X13,esk15_2(X10,X11))
| r3(X10,X11,X13) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3])])])]) ).
fof(c_0_21,plain,
! [X22,X23] :
( ( r1(X22)
| ~ r1(X22)
| ~ id(X22,X23) )
& ( r1(X23)
| ~ r1(X22)
| ~ id(X22,X23) )
& ( r1(X22)
| ~ r1(X23)
| ~ id(X22,X23) )
& ( r1(X23)
| ~ r1(X23)
| ~ id(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_8])])]) ).
fof(c_0_22,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( r4(X38,X39,X40)
| ~ r4(X38,X39,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X41,X42,X43)
| ~ r4(X38,X39,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X38,X39,X40)
| ~ r4(X41,X42,X43)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X41,X42,X43)
| ~ r4(X41,X42,X43)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_11])])]) ).
cnf(c_0_23,plain,
( id(esk2_1(X1),X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,plain,
id(esk5_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_25,plain,
! [X44,X45] :
( id(esk17_2(X44,X45),esk16_2(X44,X45))
& r2(X45,esk18_2(X44,X45))
& r3(X44,esk18_2(X44,X45),esk17_2(X44,X45))
& r2(esk19_2(X44,X45),esk16_2(X44,X45))
& r3(X44,X45,esk19_2(X44,X45)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).
cnf(c_0_26,plain,
id(X1,esk2_1(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_27,plain,
( id(X1,esk15_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
r3(X1,esk3_1(X1),esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( r4(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
( id(X1,esk2_1(X2))
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_33,plain,
id(esk1_0,esk5_1(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_34,plain,
id(esk4_1(X1),esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_35,plain,
r1(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,plain,
r3(X1,X2,esk19_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( id(X1,X2)
| ~ id(esk2_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_38,plain,
id(esk2_1(X1),esk15_2(X1,esk3_1(X1))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( r1(esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_40,plain,
( r4(X1,X2,X3)
| ~ id(esk5_1(X4),X2)
| ~ id(esk4_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
id(esk5_1(X1),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
r1(esk4_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_35])]) ).
cnf(c_0_43,plain,
id(esk19_2(X1,X2),esk15_2(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_44,plain,
id(X1,esk15_2(X1,esk3_1(X1))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
id(esk6_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_46,plain,
( id(esk2_1(X1),esk1_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_39]) ).
fof(c_0_47,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( r1(X46)
& r4(X46,X46,X63) )
& ? [X47] :
( id(X63,X47)
& r1(X47) ) ),
inference(assume_negation,[status(cth)],[zerotimeszeroeqzero]) ).
cnf(c_0_48,plain,
( r4(X1,esk2_1(esk1_0),X2)
| ~ id(esk4_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
id(esk4_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_42]) ).
cnf(c_0_50,plain,
( id(esk19_2(X1,X2),X3)
| ~ id(esk15_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_43]) ).
cnf(c_0_51,plain,
id(esk15_2(X1,esk3_1(X1)),X1),
inference(spm,[status(thm)],[c_0_19,c_0_44]) ).
cnf(c_0_52,plain,
id(esk1_0,esk6_1(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_53,plain,
( id(esk1_0,esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_46]) ).
fof(c_0_54,negated_conjecture,
! [X64,X65,X66] :
( ~ r1(X65)
| ~ r4(X65,X65,X64)
| ~ id(X64,X66)
| ~ r1(X66) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])]) ).
cnf(c_0_55,plain,
( r4(X1,esk2_1(esk1_0),esk1_0)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
id(esk19_2(X1,esk3_1(X1)),X1),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_58,plain,
id(esk6_1(X1),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_52]) ).
cnf(c_0_59,plain,
( id(esk1_0,X1)
| ~ r1(X2)
| ~ id(esk2_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( ~ r1(X1)
| ~ id(X2,X1)
| ~ r4(X3,X3,X2)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
r4(X1,esk2_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
r1(esk2_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35])]) ).
cnf(c_0_63,plain,
( id(esk1_0,X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_16]) ).
cnf(c_0_64,plain,
r1(esk3_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_65,negated_conjecture,
~ r1(X1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63]) ).
cnf(c_0_66,plain,
$false,
inference(sr,[status(thm)],[c_0_64,c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 10:25:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.018 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 67
% 0.24/1.42 # Proof object clause steps : 46
% 0.24/1.42 # Proof object formula steps : 21
% 0.24/1.42 # Proof object conjectures : 5
% 0.24/1.42 # Proof object clause conjectures : 2
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 16
% 0.24/1.42 # Proof object initial formulas used : 10
% 0.24/1.42 # Proof object generating inferences : 29
% 0.24/1.42 # Proof object simplifying inferences : 8
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 19
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 59
% 0.24/1.42 # Removed in clause preprocessing : 16
% 0.24/1.42 # Initial clauses in saturation : 43
% 0.24/1.42 # Processed clauses : 3953
% 0.24/1.42 # ...of these trivial : 368
% 0.24/1.42 # ...subsumed : 2152
% 0.24/1.42 # ...remaining for further processing : 1433
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 10
% 0.24/1.42 # Backward-rewritten : 24
% 0.24/1.42 # Generated clauses : 44930
% 0.24/1.42 # ...of the previous two non-trivial : 36178
% 0.24/1.42 # Contextual simplify-reflections : 56
% 0.24/1.42 # Paramodulations : 44796
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 1265
% 0.24/1.42 # Positive orientable unit clauses : 459
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 39
% 0.24/1.42 # Non-unit-clauses : 767
% 0.24/1.42 # Current number of unprocessed clauses: 25704
% 0.24/1.42 # ...number of literals in the above : 58809
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 168
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 111159
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 88246
% 0.24/1.42 # Non-unit clause-clause subsumptions : 1566
% 0.24/1.42 # Unit Clause-clause subsumption calls : 11636
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 1492
% 0.24/1.42 # BW rewrite match successes : 24
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 496647
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.450 s
% 0.24/1.42 # System time : 0.016 s
% 0.24/1.42 # Total time : 0.466 s
% 0.24/1.42 # Maximum resident set size: 26552 pages
%------------------------------------------------------------------------------