TSTP Solution File: SYN059+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 05:51:21 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 59 ( 15 unt; 0 def)
% Number of atoms : 215 ( 0 equ)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 242 ( 86 ~; 127 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 35 ( 2 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel29,conjecture,
( ( ! [X1] :
( big_f(X1)
=> big_h(X1) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X2] :
( ( big_f(X4)
& big_g(X2) )
=> ( big_h(X4)
& big_j(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel29) ).
fof(pel29_1,axiom,
? [X1] : big_f(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel29_1) ).
fof(pel29_2,axiom,
? [X2] : big_g(X2),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel29_2) ).
fof(c_0_3,negated_conjecture,
~ ( ( ! [X1] :
( big_f(X1)
=> big_h(X1) )
& ! [X3] :
( big_g(X3)
=> big_j(X3) ) )
<=> ! [X4,X2] :
( ( big_f(X4)
& big_g(X2) )
=> ( big_h(X4)
& big_j(X2) ) ) ),
inference(assume_negation,[status(cth)],[pel29]) ).
fof(c_0_4,negated_conjecture,
! [X9,X10,X11,X12] :
( ( big_f(esk3_0)
| big_g(esk2_0)
| big_f(esk1_0) )
& ( big_g(esk4_0)
| big_g(esk2_0)
| big_f(esk1_0) )
& ( ~ big_h(esk3_0)
| ~ big_j(esk4_0)
| big_g(esk2_0)
| big_f(esk1_0) )
& ( big_f(esk3_0)
| ~ big_j(esk2_0)
| big_f(esk1_0) )
& ( big_g(esk4_0)
| ~ big_j(esk2_0)
| big_f(esk1_0) )
& ( ~ big_h(esk3_0)
| ~ big_j(esk4_0)
| ~ big_j(esk2_0)
| big_f(esk1_0) )
& ( big_f(esk3_0)
| big_g(esk2_0)
| ~ big_h(esk1_0) )
& ( big_g(esk4_0)
| big_g(esk2_0)
| ~ big_h(esk1_0) )
& ( ~ big_h(esk3_0)
| ~ big_j(esk4_0)
| big_g(esk2_0)
| ~ big_h(esk1_0) )
& ( big_f(esk3_0)
| ~ big_j(esk2_0)
| ~ big_h(esk1_0) )
& ( big_g(esk4_0)
| ~ big_j(esk2_0)
| ~ big_h(esk1_0) )
& ( ~ big_h(esk3_0)
| ~ big_j(esk4_0)
| ~ big_j(esk2_0)
| ~ big_h(esk1_0) )
& ( big_h(X11)
| ~ big_f(X11)
| ~ big_g(X12)
| ~ big_f(X9)
| big_h(X9) )
& ( big_j(X12)
| ~ big_f(X11)
| ~ big_g(X12)
| ~ big_f(X9)
| big_h(X9) )
& ( big_h(X11)
| ~ big_f(X11)
| ~ big_g(X12)
| ~ big_g(X10)
| big_j(X10) )
& ( big_j(X12)
| ~ big_f(X11)
| ~ big_g(X12)
| ~ big_g(X10)
| big_j(X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_5,plain,
big_f(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel29_1])]) ).
cnf(c_0_6,negated_conjecture,
( big_j(X1)
| big_j(X2)
| ~ big_g(X1)
| ~ big_g(X2)
| ~ big_f(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
big_f(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
big_g(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel29_2])]) ).
cnf(c_0_9,negated_conjecture,
( big_j(X1)
| big_j(X2)
| ~ big_g(X1)
| ~ big_g(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk1_0)
| big_g(esk2_0)
| big_f(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( big_f(esk1_0)
| big_f(esk3_0)
| ~ big_j(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( big_h(X1)
| big_h(X3)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_f(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
big_g(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( big_j(X1)
| big_f(esk1_0)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( big_h(X1)
| big_h(X2)
| ~ big_f(X1)
| ~ big_f(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( big_f(esk1_0)
| big_f(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( big_h(esk1_0)
| big_h(X1)
| big_f(esk3_0)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( big_g(esk2_0)
| big_f(esk3_0)
| ~ big_h(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( big_h(esk1_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( big_f(esk3_0)
| ~ big_h(esk1_0)
| ~ big_j(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
( big_g(esk2_0)
| big_f(esk3_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( big_f(esk3_0)
| ~ big_j(esk2_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( big_f(esk1_0)
| big_g(esk2_0)
| big_g(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( big_f(esk1_0)
| big_g(esk4_0)
| ~ big_j(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
( big_j(X1)
| big_f(esk3_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_21]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( big_j(X1)
| big_g(esk4_0)
| big_f(esk1_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_23]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
big_f(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_25]),c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( big_g(esk4_0)
| big_f(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( big_h(esk3_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( big_j(esk4_0)
| big_j(X1)
| big_f(esk1_0)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( big_f(esk1_0)
| big_g(esk2_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
big_h(esk3_0),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( big_j(esk4_0)
| big_f(esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( big_f(esk1_0)
| ~ big_j(esk2_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,negated_conjecture,
( big_g(esk2_0)
| big_f(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( big_f(esk1_0)
| ~ big_j(esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( big_j(X1)
| big_f(esk1_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_35]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
big_f(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( big_h(esk1_0)
| big_h(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( big_g(esk2_0)
| big_g(esk4_0)
| ~ big_h(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,negated_conjecture,
big_h(esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( big_g(esk4_0)
| ~ big_h(esk1_0)
| ~ big_j(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_43,negated_conjecture,
( big_g(esk2_0)
| big_g(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_44,negated_conjecture,
( big_g(esk4_0)
| ~ big_j(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_41])]) ).
cnf(c_0_45,negated_conjecture,
( big_j(X1)
| big_g(esk4_0)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_43]),c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( big_g(esk2_0)
| ~ big_h(esk1_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,negated_conjecture,
big_g(esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( ~ big_h(esk1_0)
| ~ big_j(esk2_0)
| ~ big_j(esk4_0)
| ~ big_h(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,negated_conjecture,
( big_g(esk2_0)
| ~ big_j(esk4_0)
| ~ big_h(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_32])]) ).
cnf(c_0_50,negated_conjecture,
( big_j(esk4_0)
| big_j(X1)
| ~ big_g(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( ~ big_j(esk2_0)
| ~ big_j(esk4_0)
| ~ big_h(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_32])]) ).
cnf(c_0_52,negated_conjecture,
( big_g(esk2_0)
| ~ big_j(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_41])]) ).
cnf(c_0_53,negated_conjecture,
big_j(esk4_0),
inference(spm,[status(thm)],[c_0_50,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( ~ big_j(esk2_0)
| ~ big_j(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_41])]) ).
cnf(c_0_55,negated_conjecture,
big_g(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_56,negated_conjecture,
~ big_j(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
( big_j(X1)
| ~ big_g(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_55]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % 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 : Tue Jul 12 00:30:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.014 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 59
% 0.21/1.40 # Proof object clause steps : 52
% 0.21/1.40 # Proof object formula steps : 7
% 0.21/1.40 # Proof object conjectures : 53
% 0.21/1.40 # Proof object clause conjectures : 50
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 16
% 0.21/1.40 # Proof object initial formulas used : 3
% 0.21/1.40 # Proof object generating inferences : 26
% 0.21/1.40 # Proof object simplifying inferences : 35
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 3
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 18
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 18
% 0.21/1.40 # Processed clauses : 82
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 8
% 0.21/1.40 # ...remaining for further processing : 74
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 22
% 0.21/1.40 # Backward-rewritten : 37
% 0.21/1.40 # Generated clauses : 114
% 0.21/1.40 # ...of the previous two non-trivial : 87
% 0.21/1.40 # Contextual simplify-reflections : 40
% 0.21/1.40 # Paramodulations : 114
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 15
% 0.21/1.40 # Positive orientable unit clauses : 11
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 1
% 0.21/1.40 # Non-unit-clauses : 3
% 0.21/1.40 # Current number of unprocessed clauses: 0
% 0.21/1.40 # ...number of literals in the above : 0
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 59
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 103
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 77
% 0.21/1.40 # Non-unit clause-clause subsumptions : 68
% 0.21/1.40 # Unit Clause-clause subsumption calls : 11
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 8
% 0.21/1.40 # BW rewrite match successes : 8
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 2259
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.016 s
% 0.21/1.40 # System time : 0.005 s
% 0.21/1.40 # Total time : 0.021 s
% 0.21/1.40 # Maximum resident set size: 3032 pages
%------------------------------------------------------------------------------