%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 05:53:33 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 47 ( 4 avg)
% Number of connectives : 194 ( 57 ~; 85 |; 24 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 94 ( 8 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_5,conjecture,
! [X1] :
? [X2,X3,X4] :
! [X5] :
( ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X5)
=> ( big_f(X3,X4,X2)
| big_f(X4,X2,X3) ) ) )
=> ( ( ( big_f(X4,X2,X3)
=> ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
<=> big_f(X3,X2,X5) )
=> ( ( ( big_f(X3,X4,X2)
=> ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
<=> big_f(X2,X5,X3) )
=> ( ( ( ( big_f(X4,X2,X3)
=> ~ big_f(X3,X4,X2) )
=> big_f(X2,X3,X4) )
<=> big_f(X5,X3,X2) )
=> ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
<=> big_f(X5,X5,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',church_46_18_5) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X2,X3,X4] :
! [X5] :
( ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X5)
=> ( big_f(X3,X4,X2)
| big_f(X4,X2,X3) ) ) )
=> ( ( ( big_f(X4,X2,X3)
=> ( big_f(X2,X3,X4)
& big_f(X3,X4,X2) ) )
<=> big_f(X3,X2,X5) )
=> ( ( ( big_f(X3,X4,X2)
=> ( big_f(X2,X3,X4)
& big_f(X4,X2,X3) ) )
<=> big_f(X2,X5,X3) )
=> ( ( ( ( big_f(X4,X2,X3)
=> ~ big_f(X3,X4,X2) )
=> big_f(X2,X3,X4) )
<=> big_f(X5,X3,X2) )
=> ( ( big_f(X2,X3,X4)
& big_f(X3,X4,X2)
& big_f(X4,X2,X3) )
<=> big_f(X5,X5,X5) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_18_5]) ).
fof(c_0_2,negated_conjecture,
! [X7,X8,X9] :
( ( ~ big_f(X7,X8,X9)
| ~ big_f(esk1_0,esk1_0,esk2_3(X7,X8,X9))
| big_f(X8,X9,X7)
| big_f(X9,X7,X8) )
& ( big_f(X9,X7,X8)
| big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8)
| ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X9,X7,X8)
| big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7)
| ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
& ( ~ big_f(X9,X7,X8)
| ~ big_f(X8,X9,X7)
| big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( ~ big_f(X7,X8,X9)
| big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( big_f(X9,X7,X8)
| big_f(X7,X8,X9)
| ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( big_f(X8,X9,X7)
| big_f(X7,X8,X9)
| ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
& ( ~ big_f(X7,X8,X9)
| ~ big_f(X8,X9,X7)
| ~ big_f(X9,X7,X8)
| ~ big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X7,X8,X9)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X8,X9,X7)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
& ( big_f(X9,X7,X8)
| big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1))
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( big_f(X3,X1,X2)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( big_f(X1,X3,X2)
| ~ big_f(X1,X2,esk2_3(X2,X1,X3))
| ~ big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,X1,esk1_0)
| big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,X1,esk1_0)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( big_f(X2,X1,X3)
| ~ big_f(X1,X2,esk2_3(X2,X1,X3))
| ~ big_f(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0)
| big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_24]),c_0_27]) ).
cnf(c_0_29,negated_conjecture,
big_f(esk2_3(esk1_0,esk1_0,X1),esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
big_f(esk1_0,esk1_0,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_29]),c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_30])]) ).
cnf(c_0_32,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| big_f(X2,X1,esk2_3(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_17]),c_0_11]),c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( big_f(X1,esk2_3(X1,X2,X3),X2)
| ~ big_f(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_32]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_34]),c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| big_f(X1,esk2_3(X1,X2,X3),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
big_f(X1,esk2_3(X1,X2,X3),X2),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_37])]) ).
cnf(c_0_39,negated_conjecture,
big_f(esk2_3(X1,X2,X3),X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( ~ big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
big_f(X1,X2,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_39])]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_41]),c_0_41]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n006.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 : Mon Jul 11 14:07:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.015 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 43
% 0.22/1.40 # Proof object clause steps : 40
% 0.22/1.40 # Proof object formula steps : 3
% 0.22/1.40 # Proof object conjectures : 43
% 0.22/1.40 # Proof object clause conjectures : 40
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 12
% 0.22/1.40 # Proof object initial formulas used : 1
% 0.22/1.40 # Proof object generating inferences : 24
% 0.22/1.40 # Proof object simplifying inferences : 21
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 1
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 17
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 17
% 0.22/1.40 # Processed clauses : 91
% 0.22/1.40 # ...of these trivial : 8
% 0.22/1.40 # ...subsumed : 26
% 0.22/1.40 # ...remaining for further processing : 57
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 28
% 0.22/1.40 # Backward-rewritten : 28
% 0.22/1.40 # Generated clauses : 183
% 0.22/1.40 # ...of the previous two non-trivial : 131
% 0.22/1.40 # Contextual simplify-reflections : 36
% 0.22/1.40 # Paramodulations : 183
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 1
% 0.22/1.40 # Positive orientable unit clauses : 1
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 0
% 0.22/1.40 # Non-unit-clauses : 0
% 0.22/1.40 # Current number of unprocessed clauses: 1
% 0.22/1.40 # ...number of literals in the above : 2
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 56
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 661
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 597
% 0.22/1.40 # Non-unit clause-clause subsumptions : 78
% 0.22/1.40 # Unit Clause-clause subsumption calls : 32
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 42
% 0.22/1.40 # BW rewrite match successes : 23
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 3798
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.025 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.027 s
% 0.22/1.40 # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------