TSTP Solution File: SWW350+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW350+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 00:10:37 EDT 2022
% Result : Theorem 0.93s 2.12s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 40 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 15 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_com__det,axiom,
! [X4,X5,X6,X7] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X5))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X4))
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_com__det) ).
fof(conj_1,hypothesis,
! [X333] :
( ! [X30] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X30))
=> X333 = X30 )
=> X333 = v_s_H ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_3,conjecture,
hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(fact_com_Osimps_I12_J,axiom,
! [X32,X33] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X33,X32),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_com_Osimps_I12_J) ).
fof(c_0_4,plain,
! [X8,X9,X10,X11] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X11),X10),X9))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X11),X10),X8))
| X8 = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com__det])]) ).
fof(c_0_5,hypothesis,
! [X334] :
( ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),esk1_1(X334)))
| X334 = v_s_H )
& ( X334 != esk1_1(X334)
| X334 = v_s_H ) ),
inference(distribute,[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)],[conj_1])])])])])]) ).
cnf(c_0_6,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
( X1 = v_s_H
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
( X1 = esk1_1(X2)
| X2 = v_s_H
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,hypothesis,
( X1 = v_s_H
| X1 != esk1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
( esk1_1(X1) = esk1_1(X2)
| X1 = v_s_H
| X2 = v_s_H ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(assume_negation,[status(cth)],[conj_3]) ).
cnf(c_0_12,hypothesis,
( X1 = v_s_H
| X2 = v_s_H
| esk1_1(X1) != X2 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X34,X35] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X35,X34),
inference(variable_rename,[status(thm)],[fact_com_Osimps_I12_J]) ).
cnf(c_0_15,hypothesis,
( esk1_1(X1) = v_s_H
| X1 = v_s_H ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,hypothesis,
X1 = v_s_H,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW350+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 21:54:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/2.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.93/2.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.93/2.12 # Preprocessing time : 0.235 s
% 0.93/2.12
% 0.93/2.12 # Proof found!
% 0.93/2.12 # SZS status Theorem
% 0.93/2.12 # SZS output start CNFRefutation
% See solution above
% 0.93/2.12 # Proof object total steps : 20
% 0.93/2.12 # Proof object clause steps : 11
% 0.93/2.12 # Proof object formula steps : 9
% 0.93/2.12 # Proof object conjectures : 4
% 0.93/2.12 # Proof object clause conjectures : 1
% 0.93/2.12 # Proof object formula conjectures : 3
% 0.93/2.12 # Proof object initial clauses used : 5
% 0.93/2.12 # Proof object initial formulas used : 4
% 0.93/2.12 # Proof object generating inferences : 5
% 0.93/2.12 # Proof object simplifying inferences : 4
% 0.93/2.12 # Training examples: 0 positive, 0 negative
% 0.93/2.12 # Parsed axioms : 5229
% 0.93/2.12 # Removed by relevancy pruning/SinE : 5128
% 0.93/2.12 # Initial clauses : 174
% 0.93/2.12 # Removed in clause preprocessing : 12
% 0.93/2.12 # Initial clauses in saturation : 162
% 0.93/2.12 # Processed clauses : 178
% 0.93/2.12 # ...of these trivial : 5
% 0.93/2.12 # ...subsumed : 62
% 0.93/2.12 # ...remaining for further processing : 111
% 0.93/2.12 # Other redundant clauses eliminated : 2
% 0.93/2.12 # Clauses deleted for lack of memory : 0
% 0.93/2.12 # Backward-subsumed : 0
% 0.93/2.12 # Backward-rewritten : 106
% 0.93/2.12 # Generated clauses : 309
% 0.93/2.12 # ...of the previous two non-trivial : 279
% 0.93/2.12 # Contextual simplify-reflections : 2
% 0.93/2.12 # Paramodulations : 298
% 0.93/2.12 # Factorizations : 0
% 0.93/2.12 # Equation resolutions : 11
% 0.93/2.12 # Current number of processed clauses : 3
% 0.93/2.12 # Positive orientable unit clauses : 1
% 0.93/2.12 # Positive unorientable unit clauses: 1
% 0.93/2.12 # Negative unit clauses : 1
% 0.93/2.12 # Non-unit-clauses : 0
% 0.93/2.12 # Current number of unprocessed clauses: 6
% 0.93/2.12 # ...number of literals in the above : 10
% 0.93/2.12 # Current number of archived formulas : 0
% 0.93/2.12 # Current number of archived clauses : 106
% 0.93/2.12 # Clause-clause subsumption calls (NU) : 1225
% 0.93/2.12 # Rec. Clause-clause subsumption calls : 1122
% 0.93/2.12 # Non-unit clause-clause subsumptions : 44
% 0.93/2.12 # Unit Clause-clause subsumption calls : 112
% 0.93/2.12 # Rewrite failures with RHS unbound : 4
% 0.93/2.12 # BW rewrite match attempts : 392
% 0.93/2.12 # BW rewrite match successes : 380
% 0.93/2.12 # Condensation attempts : 0
% 0.93/2.12 # Condensation successes : 0
% 0.93/2.12 # Termbank termtop insertions : 149488
% 0.93/2.12
% 0.93/2.12 # -------------------------------------------------
% 0.93/2.12 # User time : 0.239 s
% 0.93/2.12 # System time : 0.009 s
% 0.93/2.12 # Total time : 0.248 s
% 0.93/2.12 # Maximum resident set size: 13564 pages
% 0.93/24.11 eprover: CPU time limit exceeded, terminating
% 0.93/24.12 eprover: CPU time limit exceeded, terminating
% 0.93/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.12 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.19 eprover: No such file or directory
% 0.93/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------