TSTP Solution File: SWC322+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC322+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 : Tue Jul 19 20:28:02 EDT 2022
% Result : Theorem 0.21s 1.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 119 ( 77 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 132 ( 46 ~; 49 |; 25 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) != X3
& app(X6,cons(X5,nil)) = X4 ) )
| ( nil != X3
& nil = X4 )
| ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) = X1 ) ) )
& ( nil != X2
| nil = X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) != X3
& app(X6,cons(X5,nil)) = X4 ) )
| ( nil != X3
& nil = X4 )
| ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) = X1 ) ) )
& ( nil != X2
| nil = X1 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
! [X13,X14] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ( ~ ssItem(X13)
| ~ ssList(X14)
| app(cons(X13,nil),X14) = esk3_0
| app(X14,cons(X13,nil)) != esk4_0 )
& ( nil = esk3_0
| nil != esk4_0 )
& ( nil = esk2_0
| ssItem(esk5_0) )
& ( nil != esk1_0
| ssItem(esk5_0) )
& ( nil = esk2_0
| ssList(esk6_0) )
& ( nil != esk1_0
| ssList(esk6_0) )
& ( nil = esk2_0
| app(esk6_0,cons(esk5_0,nil)) = esk2_0 )
& ( nil != esk1_0
| app(esk6_0,cons(esk5_0,nil)) = esk2_0 )
& ( nil = esk2_0
| app(cons(esk5_0,nil),esk6_0) != esk1_0 )
& ( nil != esk1_0
| app(cons(esk5_0,nil),esk6_0) != esk1_0 ) ),
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_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( app(esk6_0,cons(esk5_0,nil)) = esk2_0
| nil = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ssItem(esk5_0)
| nil = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ssList(esk6_0)
| nil = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( nil = esk2_0
| app(cons(esk5_0,nil),esk6_0) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( app(cons(X2,nil),X1) = esk3_0
| app(X1,cons(X2,nil)) != esk4_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( app(esk6_0,cons(esk5_0,nil)) = esk4_0
| nil = esk4_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( nil = esk4_0
| ssItem(esk5_0) ),
inference(rw,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( nil = esk4_0
| ssList(esk6_0) ),
inference(rw,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( nil = esk4_0
| app(cons(esk5_0,nil),esk6_0) != esk3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_4]),c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ssList(esk6_0)
| nil != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( app(cons(esk5_0,nil),esk6_0) != esk1_0
| nil != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( nil = esk3_0
| nil != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
nil = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( app(esk6_0,cons(esk5_0,nil)) = esk2_0
| nil != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( ssList(esk6_0)
| nil != esk3_0 ),
inference(rw,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( ssItem(esk5_0)
| nil != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( app(cons(esk5_0,nil),esk6_0) != esk3_0
| nil != esk3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_8]),c_0_8]) ).
cnf(c_0_22,negated_conjecture,
esk3_0 = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17])]) ).
cnf(c_0_23,negated_conjecture,
( app(esk6_0,cons(esk5_0,nil)) = esk4_0
| nil != esk3_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_4]),c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( ssList(esk6_0)
| esk3_0 != esk4_0 ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( ssItem(esk5_0)
| nil != esk3_0 ),
inference(rw,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( app(cons(esk5_0,esk4_0),esk6_0) != esk3_0
| esk3_0 != esk4_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_17]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( app(cons(X1,esk4_0),X2) = esk4_0
| app(X2,cons(X1,esk4_0)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_17]),c_0_17]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
app(esk6_0,cons(esk5_0,esk4_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_17]),c_0_17]),c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
ssList(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
ssItem(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17]),c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
app(cons(esk5_0,esk4_0),esk6_0) != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22]),c_0_22])]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC322+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.31 % Computer : n012.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sun Jun 12 09:01:56 EDT 2022
% 0.17/0.31 % CPUTime :
% 0.21/1.39 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.39 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.39 # Preprocessing time : 0.011 s
% 0.21/1.39
% 0.21/1.39 # Proof found!
% 0.21/1.39 # SZS status Theorem
% 0.21/1.39 # SZS output start CNFRefutation
% See solution above
% 0.21/1.39 # Proof object total steps : 33
% 0.21/1.39 # Proof object clause steps : 30
% 0.21/1.39 # Proof object formula steps : 3
% 0.21/1.39 # Proof object conjectures : 33
% 0.21/1.39 # Proof object clause conjectures : 30
% 0.21/1.39 # Proof object formula conjectures : 3
% 0.21/1.39 # Proof object initial clauses used : 12
% 0.21/1.39 # Proof object initial formulas used : 1
% 0.21/1.39 # Proof object generating inferences : 2
% 0.21/1.39 # Proof object simplifying inferences : 40
% 0.21/1.39 # Training examples: 0 positive, 0 negative
% 0.21/1.39 # Parsed axioms : 96
% 0.21/1.39 # Removed by relevancy pruning/SinE : 79
% 0.21/1.39 # Initial clauses : 39
% 0.21/1.39 # Removed in clause preprocessing : 0
% 0.21/1.39 # Initial clauses in saturation : 39
% 0.21/1.39 # Processed clauses : 54
% 0.21/1.39 # ...of these trivial : 2
% 0.21/1.39 # ...subsumed : 0
% 0.21/1.39 # ...remaining for further processing : 52
% 0.21/1.39 # Other redundant clauses eliminated : 0
% 0.21/1.39 # Clauses deleted for lack of memory : 0
% 0.21/1.39 # Backward-subsumed : 0
% 0.21/1.39 # Backward-rewritten : 28
% 0.21/1.39 # Generated clauses : 107
% 0.21/1.39 # ...of the previous two non-trivial : 108
% 0.21/1.39 # Contextual simplify-reflections : 5
% 0.21/1.39 # Paramodulations : 105
% 0.21/1.39 # Factorizations : 0
% 0.21/1.39 # Equation resolutions : 2
% 0.21/1.39 # Current number of processed clauses : 24
% 0.21/1.39 # Positive orientable unit clauses : 10
% 0.21/1.39 # Positive unorientable unit clauses: 0
% 0.21/1.39 # Negative unit clauses : 2
% 0.21/1.39 # Non-unit-clauses : 12
% 0.21/1.39 # Current number of unprocessed clauses: 38
% 0.21/1.39 # ...number of literals in the above : 156
% 0.21/1.39 # Current number of archived formulas : 0
% 0.21/1.39 # Current number of archived clauses : 28
% 0.21/1.39 # Clause-clause subsumption calls (NU) : 138
% 0.21/1.39 # Rec. Clause-clause subsumption calls : 77
% 0.21/1.39 # Non-unit clause-clause subsumptions : 5
% 0.21/1.39 # Unit Clause-clause subsumption calls : 3
% 0.21/1.39 # Rewrite failures with RHS unbound : 0
% 0.21/1.39 # BW rewrite match attempts : 2
% 0.21/1.39 # BW rewrite match successes : 2
% 0.21/1.39 # Condensation attempts : 0
% 0.21/1.39 # Condensation successes : 0
% 0.21/1.39 # Termbank termtop insertions : 4909
% 0.21/1.39
% 0.21/1.39 # -------------------------------------------------
% 0.21/1.39 # User time : 0.013 s
% 0.21/1.39 # System time : 0.002 s
% 0.21/1.39 # Total time : 0.015 s
% 0.21/1.39 # Maximum resident set size: 3164 pages
%------------------------------------------------------------------------------