TSTP Solution File: NUN085+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 16:26:07 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 65 ( 38 unt; 0 def)
% Number of atoms : 139 ( 58 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 55 ~; 42 |; 32 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 6 sgn 34 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(zeroplusoneidzero,conjecture,
! [X39] :
( ! [X22] :
( ! [X23] :
( ~ r1(X23)
| ~ r3(X23,X22,X39) )
| ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) ) )
| ! [X17] :
( X39 != X17
| ~ r1(X17) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zeroplusoneidzero) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X17] :
( ? [X18] :
( r2(X15,X18)
& r3(X14,X18,X17) )
& X17 = X16 )
& ? [X19] :
( r2(X19,X16)
& r3(X14,X15,X19) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( ? [X32] :
( r1(X32)
& r3(X30,X32,X31) )
& X31 = X30 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(c_0_7,negated_conjecture,
~ ! [X39] :
( ! [X22] :
( ! [X23] :
( ~ r1(X23)
| ~ r3(X23,X22,X39) )
| ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) ) )
| ! [X17] :
( X39 != X17
| ~ r1(X17) ) ),
inference(assume_negation,[status(cth)],[zeroplusoneidzero]) ).
fof(c_0_8,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk6_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk6_0 )
& ( X4 = esk6_0
| X4 != esk6_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
fof(c_0_9,negated_conjecture,
( r1(esk3_0)
& r3(esk3_0,esk2_0,esk1_0)
& r1(esk4_0)
& r2(esk4_0,esk2_0)
& esk1_0 = esk5_0
& r1(esk5_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_10,plain,
( X1 = esk6_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
r1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
esk6_0 = esk4_0,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( X1 = esk4_0
| ~ r1(X1) ),
inference(rw,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
r1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
esk4_0 = esk3_0,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
r1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
esk1_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( X1 = esk3_0
| ~ r1(X1) ),
inference(rw,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
r1(esk1_0),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_20,plain,
! [X10,X11,X13] :
( ( r3(X10,X11,X13)
| ~ r3(X10,X11,X13) )
& ( X13 = esk17_2(X10,X11)
| ~ r3(X10,X11,X13) )
& ( r3(X10,X11,X13)
| X13 != esk17_2(X10,X11) )
& ( X13 = esk17_2(X10,X11)
| X13 != esk17_2(X10,X11) ) ),
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,
! [X20,X21] :
( r2(X21,esk15_2(X20,X21))
& r3(X20,esk15_2(X20,X21),esk14_2(X20,X21))
& esk14_2(X20,X21) = esk13_2(X20,X21)
& r2(esk16_2(X20,X21),esk13_2(X20,X21))
& r3(X20,X21,esk16_2(X20,X21)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).
fof(c_0_22,plain,
! [X6,X8] :
( ( r2(X6,X8)
| ~ r2(X6,X8) )
& ( X8 = esk12_1(X6)
| ~ r2(X6,X8) )
& ( r2(X6,X8)
| X8 != esk12_1(X6) )
& ( X8 = esk12_1(X6)
| X8 != esk12_1(X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
fof(c_0_23,plain,
! [X33] :
( r1(esk8_1(X33))
& r3(X33,esk8_1(X33),esk7_1(X33))
& esk7_1(X33) = X33 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
cnf(c_0_24,negated_conjecture,
esk3_0 = esk1_0,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,plain,
! [X44,X45,X46] :
( ~ r1(X46)
| X46 != X45
| ~ r2(X44,X45) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).
cnf(c_0_26,plain,
( X3 = esk17_2(X1,X2)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
r3(X1,X2,esk16_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
r3(X1,esk15_2(X1,X2),esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
esk14_2(X1,X2) = esk13_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( X2 = esk12_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
r2(X1,esk15_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
r2(esk16_2(X1,X2),esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,negated_conjecture,
r2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,plain,
r3(X1,esk8_1(X1),esk7_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
esk7_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(rw,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_37,plain,
r1(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( r1(X1)
| X1 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
esk17_2(X1,X2) = esk16_2(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_41,plain,
r3(X1,esk15_2(X1,X2),esk13_2(X1,X2)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
esk15_2(X1,X2) = esk12_1(X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
esk13_2(X1,X2) = esk12_1(esk16_2(X1,X2)),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
esk12_1(esk4_0) = esk2_0,
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_45,plain,
r3(X1,esk8_1(X1),X1),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_46,plain,
esk8_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( r1(X1)
| X1 != esk4_0 ),
inference(rw,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_49,negated_conjecture,
r3(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_50,plain,
( X1 = esk16_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_26,c_0_40]) ).
cnf(c_0_51,plain,
r3(X1,esk12_1(X2),esk12_1(esk16_2(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_52,negated_conjecture,
esk12_1(esk3_0) = esk2_0,
inference(rw,[status(thm)],[c_0_44,c_0_15]) ).
cnf(c_0_53,plain,
r3(X1,esk1_0,X1),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
~ r1(esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_33]) ).
cnf(c_0_55,plain,
( r1(X1)
| X1 != esk3_0 ),
inference(rw,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_56,negated_conjecture,
esk17_2(esk3_0,esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_57,plain,
esk16_2(X1,esk12_1(X2)) = esk12_1(esk16_2(X1,X2)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
esk12_1(esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_52,c_0_24]) ).
cnf(c_0_59,plain,
esk16_2(X1,esk1_0) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
esk2_0 != esk3_0,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
esk16_2(esk1_0,esk2_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_24]),c_0_40]) ).
cnf(c_0_62,negated_conjecture,
esk16_2(X1,esk2_0) = esk12_1(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
esk2_0 != esk1_0,
inference(rw,[status(thm)],[c_0_60,c_0_24]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_58]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 07:20:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.016 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 65
% 0.23/1.40 # Proof object clause steps : 50
% 0.23/1.40 # Proof object formula steps : 15
% 0.23/1.40 # Proof object conjectures : 23
% 0.23/1.40 # Proof object clause conjectures : 20
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 19
% 0.23/1.40 # Proof object initial formulas used : 7
% 0.23/1.40 # Proof object generating inferences : 14
% 0.23/1.40 # Proof object simplifying inferences : 22
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 12
% 0.23/1.40 # Removed by relevancy pruning/SinE : 3
% 0.23/1.40 # Initial clauses : 32
% 0.23/1.40 # Removed in clause preprocessing : 8
% 0.23/1.40 # Initial clauses in saturation : 24
% 0.23/1.40 # Processed clauses : 137
% 0.23/1.40 # ...of these trivial : 2
% 0.23/1.40 # ...subsumed : 37
% 0.23/1.40 # ...remaining for further processing : 98
% 0.23/1.40 # Other redundant clauses eliminated : 4
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 28
% 0.23/1.40 # Generated clauses : 227
% 0.23/1.40 # ...of the previous two non-trivial : 213
% 0.23/1.40 # Contextual simplify-reflections : 9
% 0.23/1.40 # Paramodulations : 219
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 8
% 0.23/1.40 # Current number of processed clauses : 68
% 0.23/1.40 # Positive orientable unit clauses : 21
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 4
% 0.23/1.40 # Non-unit-clauses : 43
% 0.23/1.40 # Current number of unprocessed clauses: 80
% 0.23/1.40 # ...number of literals in the above : 225
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 30
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 388
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 342
% 0.23/1.40 # Non-unit clause-clause subsumptions : 36
% 0.23/1.40 # Unit Clause-clause subsumption calls : 43
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 13
% 0.23/1.40 # BW rewrite match successes : 11
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 2914
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.022 s
% 0.23/1.40 # System time : 0.000 s
% 0.23/1.40 # Total time : 0.022 s
% 0.23/1.40 # Maximum resident set size: 2968 pages
%------------------------------------------------------------------------------