TSTP Solution File: SWW294+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:09:01 EDT 2023
% Result : Theorem 35.98s 7.82s
% Output : CNFRefutation 35.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 3 |; 3 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-4 aty)
% Number of variables : 31 ( 5 sgn; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
! [X231,X232] :
( v_P(X231,X232)
=> ! [X233] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X232,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X233)
=> v_Q(X231,X233) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p',conj_0) ).
fof(fact_Zero__neq__Suc,axiom,
! [X90] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X90),
file('/export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p',fact_Zero__neq__Suc) ).
fof(fact_transfer__nat__int__numerals_I1_J,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
file('/export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p',fact_Pls__def) ).
fof(fact_evaln__elim__cases_I6_J,axiom,
! [X51,X33,X9,X79] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X79),X9,X33,X51)
=> ~ ! [X70] :
( X33 = hAPP(c_Nat_OSuc,X70)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X79)),X9,X70,X51) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p',fact_evaln__elim__cases_I6_J) ).
fof(c_0_5,negated_conjecture,
~ ! [X231,X232] :
( v_P(X231,X232)
=> ! [X233] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X232,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X233)
=> v_Q(X231,X233) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X1245] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1245),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
cnf(c_0_7,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J]) ).
cnf(c_0_8,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_9,plain,
! [X51,X33,X9,X79] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X79),X9,X33,X51)
=> ~ ! [X70] :
( X33 = hAPP(c_Nat_OSuc,X70)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X79)),X9,X70,X51) ) ),
inference(fof_simplification,[status(thm)],[fact_evaln__elim__cases_I6_J]) ).
fof(c_0_10,negated_conjecture,
( v_P(esk493_0,esk494_0)
& c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),esk494_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk495_0)
& ~ v_Q(esk493_0,esk495_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_11,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_13,plain,
! [X1211,X1212,X1213,X1214] :
( ( X1212 = hAPP(c_Nat_OSuc,esk21_4(X1211,X1212,X1213,X1214))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1214),X1213,X1212,X1211) )
& ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1214)),X1213,esk21_4(X1211,X1212,X1213,X1214),X1211)
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1214),X1213,X1212,X1211) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_14,negated_conjecture,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),esk494_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk495_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( X1 = hAPP(c_Nat_OSuc,esk21_4(X2,X1,X3,X4))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X4),X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),esk494_0,hAPP(c_Int_Onat,c_Int_OPls),esk495_0),
inference(rw,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_18,plain,
~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,hAPP(c_Int_Onat,c_Int_OPls),X3),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.12/1.18 % Problem : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% 1.12/1.19 % Command : run_E %s %d THM
% 1.20/1.40 % Computer : n015.cluster.edu
% 1.20/1.40 % Model : x86_64 x86_64
% 1.20/1.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.20/1.40 % Memory : 8042.1875MB
% 1.20/1.40 % OS : Linux 3.10.0-693.el7.x86_64
% 1.20/1.40 % CPULimit : 2400
% 1.20/1.40 % WCLimit : 300
% 1.20/1.40 % DateTime : Mon Oct 2 22:51:17 EDT 2023
% 1.20/1.40 % CPUTime :
% 2.29/2.59 Running first-order theorem proving
% 2.29/2.59 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.FoJ5Km3YNw/E---3.1_3908.p
% 35.98/7.82 # Version: 3.1pre001
% 35.98/7.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.98/7.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.98/7.82 # Starting new_bool_3 with 300s (1) cores
% 35.98/7.82 # Starting new_bool_1 with 300s (1) cores
% 35.98/7.82 # Starting sh5l with 300s (1) cores
% 35.98/7.82 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3986 completed with status 0
% 35.98/7.82 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 35.98/7.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.98/7.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.98/7.82 # No SInE strategy applied
% 35.98/7.82 # Search class: FGHSM-SMLM33-DFFFFFNN
% 35.98/7.82 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 35.98/7.82 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 35.98/7.82 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 35.98/7.82 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 35.98/7.82 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3994 completed with status 0
% 35.98/7.82 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 35.98/7.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.98/7.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.98/7.82 # No SInE strategy applied
% 35.98/7.82 # Search class: FGHSM-SMLM33-DFFFFFNN
% 35.98/7.82 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 35.98/7.82 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 35.98/7.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 35.98/7.82 # Preprocessing time : 0.177 s
% 35.98/7.82 # Presaturation interreduction done
% 35.98/7.82
% 35.98/7.82 # Proof found!
% 35.98/7.82 # SZS status Theorem
% 35.98/7.82 # SZS output start CNFRefutation
% See solution above
% 35.98/7.82 # Parsed axioms : 5207
% 35.98/7.82 # Removed by relevancy pruning/SinE : 0
% 35.98/7.82 # Initial clauses : 7488
% 35.98/7.82 # Removed in clause preprocessing : 254
% 35.98/7.82 # Initial clauses in saturation : 7234
% 35.98/7.82 # Processed clauses : 9264
% 35.98/7.82 # ...of these trivial : 231
% 35.98/7.82 # ...subsumed : 1222
% 35.98/7.82 # ...remaining for further processing : 7811
% 35.98/7.82 # Other redundant clauses eliminated : 598
% 35.98/7.82 # Clauses deleted for lack of memory : 0
% 35.98/7.82 # Backward-subsumed : 20
% 35.98/7.82 # Backward-rewritten : 186
% 35.98/7.82 # Generated clauses : 5994
% 35.98/7.82 # ...of the previous two non-redundant : 5003
% 35.98/7.82 # ...aggressively subsumed : 0
% 35.98/7.82 # Contextual simplify-reflections : 23
% 35.98/7.82 # Paramodulations : 5400
% 35.98/7.82 # Factorizations : 0
% 35.98/7.82 # NegExts : 0
% 35.98/7.82 # Equation resolutions : 656
% 35.98/7.82 # Total rewrite steps : 7906
% 35.98/7.82 # Propositional unsat checks : 2
% 35.98/7.82 # Propositional check models : 2
% 35.98/7.82 # Propositional check unsatisfiable : 0
% 35.98/7.82 # Propositional clauses : 0
% 35.98/7.82 # Propositional clauses after purity: 0
% 35.98/7.82 # Propositional unsat core size : 0
% 35.98/7.82 # Propositional preprocessing time : 0.000
% 35.98/7.82 # Propositional encoding time : 0.081
% 35.98/7.82 # Propositional solver time : 0.025
% 35.98/7.82 # Success case prop preproc time : 0.000
% 35.98/7.82 # Success case prop encoding time : 0.000
% 35.98/7.82 # Success case prop solver time : 0.000
% 35.98/7.82 # Current number of processed clauses : 1329
% 35.98/7.82 # Positive orientable unit clauses : 581
% 35.98/7.82 # Positive unorientable unit clauses: 2
% 35.98/7.82 # Negative unit clauses : 101
% 35.98/7.82 # Non-unit-clauses : 645
% 35.98/7.82 # Current number of unprocessed clauses: 7898
% 35.98/7.82 # ...number of literals in the above : 19041
% 35.98/7.82 # Current number of archived formulas : 0
% 35.98/7.82 # Current number of archived clauses : 6031
% 35.98/7.82 # Clause-clause subsumption calls (NU) : 3743736
% 35.98/7.82 # Rec. Clause-clause subsumption calls : 1496722
% 35.98/7.82 # Non-unit clause-clause subsumptions : 1022
% 35.98/7.82 # Unit Clause-clause subsumption calls : 36820
% 35.98/7.82 # Rewrite failures with RHS unbound : 0
% 35.98/7.82 # BW rewrite match attempts : 32756
% 35.98/7.82 # BW rewrite match successes : 454
% 35.98/7.82 # Condensation attempts : 0
% 35.98/7.82 # Condensation successes : 0
% 35.98/7.82 # Termbank termtop insertions : 1288500
% 35.98/7.82
% 35.98/7.82 # -------------------------------------------------
% 35.98/7.82 # User time : 4.768 s
% 35.98/7.82 # System time : 0.129 s
% 35.98/7.82 # Total time : 4.897 s
% 35.98/7.82 # Maximum resident set size: 39792 pages
% 35.98/7.82
% 35.98/7.82 # -------------------------------------------------
% 35.98/7.82 # User time : 18.326 s
% 35.98/7.82 # System time : 0.570 s
% 35.98/7.82 # Total time : 18.896 s
% 35.98/7.82 # Maximum resident set size: 9548 pages
% 35.98/7.82 % E---3.1 exiting
% 35.98/7.82 % E---3.1 exiting
%------------------------------------------------------------------------------