TSTP Solution File: SEU451+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 19:32:17 EDT 2023
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 82 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 30 |; 8 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 103 ( 6 sgn; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k7_relset_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X5,X1,X2)
& m1_relset_1(X6,X3,X4) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',redefinition_k7_relset_1) ).
fof(t23_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',t23_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',dt_k6_partfun1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',redefinition_k9_relset_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',dt_m2_relset_1) ).
fof(t65_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p',t65_relset_2) ).
fof(c_0_7,plain,
! [X66,X67,X68,X69,X70,X71] :
( ~ m1_relset_1(X70,X66,X67)
| ~ m1_relset_1(X71,X68,X69)
| k7_relset_1(X66,X67,X68,X69,X70,X71) = k5_relat_1(X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1])]) ).
fof(c_0_8,plain,
! [X83,X84,X85] :
( ( k7_relset_1(X83,X83,X83,X84,k6_partfun1(X83),X85) = X85
| ~ m2_relset_1(X85,X83,X84) )
& ( k7_relset_1(X83,X84,X84,X84,X85,k6_partfun1(X84)) = X85
| ~ m2_relset_1(X85,X83,X84) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_2])])]) ).
fof(c_0_9,plain,
! [X77,X78,X79] :
( ( ~ m2_relset_1(X79,X77,X78)
| m1_relset_1(X79,X77,X78) )
& ( ~ m1_relset_1(X79,X77,X78)
| m2_relset_1(X79,X77,X78) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_10,plain,
( k7_relset_1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_relset_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X19] :
( v1_partfun1(k6_partfun1(X19),X19,X19)
& m2_relset_1(k6_partfun1(X19),X19,X19) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_14,plain,
! [X72,X73,X74,X75,X76] :
( ~ m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X72,X73)))
| ~ m1_subset_1(X76,k1_zfmisc_1(k2_zfmisc_1(X73,X74)))
| k9_relset_2(X72,X73,X74,X75,X76) = k5_relat_1(X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(c_0_15,plain,
! [X32,X33,X34] :
( ~ m2_relset_1(X34,X32,X33)
| m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(X32,X33))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_16,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m1_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(assume_negation,[status(cth)],[t65_relset_2]) ).
cnf(c_0_20,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(X1,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
fof(c_0_24,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_25,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| ~ m1_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_20]),c_0_12]) ).
cnf(c_0_26,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_relset_1(X5,X2,X3)
| ~ m2_relset_1(X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
k5_relat_1(esk3_0,k6_partfun1(esk2_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_18]),c_0_28])]) ).
cnf(c_0_35,negated_conjecture,
k5_relat_1(k6_partfun1(esk1_0),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_35]),c_0_28]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 08:15:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.kqHCTKhaNy/E---3.1_31045.p
% 0.19/0.54 # Version: 3.1pre001
% 0.19/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.54 # Starting sh5l with 300s (1) cores
% 0.19/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31122 completed with status 0
% 0.19/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: FGHSM-FFMM32-SFFFFFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting G-E--_301_C18_F1_URBAN_S0Y with 692s (1) cores
% 0.19/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.54 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.54 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.19/0.54 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.19/0.54 # G-E--_301_C18_F1_URBAN_S0Y with pid 31129 completed with status 0
% 0.19/0.54 # Result found by G-E--_301_C18_F1_URBAN_S0Y
% 0.19/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: FGHSM-FFMM32-SFFFFFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting G-E--_301_C18_F1_URBAN_S0Y with 692s (1) cores
% 0.19/0.54 # Preprocessing time : 0.004 s
% 0.19/0.54
% 0.19/0.54 # Proof found!
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% See solution above
% 0.19/0.54 # Parsed axioms : 48
% 0.19/0.54 # Removed by relevancy pruning/SinE : 0
% 0.19/0.54 # Initial clauses : 77
% 0.19/0.54 # Removed in clause preprocessing : 7
% 0.19/0.54 # Initial clauses in saturation : 70
% 0.19/0.54 # Processed clauses : 328
% 0.19/0.54 # ...of these trivial : 9
% 0.19/0.54 # ...subsumed : 112
% 0.19/0.54 # ...remaining for further processing : 207
% 0.19/0.54 # Other redundant clauses eliminated : 0
% 0.19/0.54 # Clauses deleted for lack of memory : 0
% 0.19/0.54 # Backward-subsumed : 7
% 0.19/0.54 # Backward-rewritten : 5
% 0.19/0.54 # Generated clauses : 897
% 0.19/0.54 # ...of the previous two non-redundant : 768
% 0.19/0.54 # ...aggressively subsumed : 0
% 0.19/0.54 # Contextual simplify-reflections : 10
% 0.19/0.54 # Paramodulations : 897
% 0.19/0.54 # Factorizations : 0
% 0.19/0.54 # NegExts : 0
% 0.19/0.54 # Equation resolutions : 0
% 0.19/0.54 # Total rewrite steps : 555
% 0.19/0.54 # Propositional unsat checks : 0
% 0.19/0.54 # Propositional check models : 0
% 0.19/0.54 # Propositional check unsatisfiable : 0
% 0.19/0.54 # Propositional clauses : 0
% 0.19/0.54 # Propositional clauses after purity: 0
% 0.19/0.54 # Propositional unsat core size : 0
% 0.19/0.54 # Propositional preprocessing time : 0.000
% 0.19/0.54 # Propositional encoding time : 0.000
% 0.19/0.54 # Propositional solver time : 0.000
% 0.19/0.54 # Success case prop preproc time : 0.000
% 0.19/0.54 # Success case prop encoding time : 0.000
% 0.19/0.54 # Success case prop solver time : 0.000
% 0.19/0.54 # Current number of processed clauses : 195
% 0.19/0.54 # Positive orientable unit clauses : 56
% 0.19/0.54 # Positive unorientable unit clauses: 0
% 0.19/0.54 # Negative unit clauses : 5
% 0.19/0.54 # Non-unit-clauses : 134
% 0.19/0.54 # Current number of unprocessed clauses: 484
% 0.19/0.54 # ...number of literals in the above : 2122
% 0.19/0.54 # Current number of archived formulas : 0
% 0.19/0.54 # Current number of archived clauses : 13
% 0.19/0.54 # Clause-clause subsumption calls (NU) : 6557
% 0.19/0.54 # Rec. Clause-clause subsumption calls : 3768
% 0.19/0.54 # Non-unit clause-clause subsumptions : 127
% 0.19/0.54 # Unit Clause-clause subsumption calls : 1339
% 0.19/0.54 # Rewrite failures with RHS unbound : 0
% 0.19/0.54 # BW rewrite match attempts : 18
% 0.19/0.54 # BW rewrite match successes : 4
% 0.19/0.54 # Condensation attempts : 0
% 0.19/0.54 # Condensation successes : 0
% 0.19/0.54 # Termbank termtop insertions : 14438
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.032 s
% 0.19/0.54 # System time : 0.007 s
% 0.19/0.54 # Total time : 0.039 s
% 0.19/0.54 # Maximum resident set size: 1900 pages
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.163 s
% 0.19/0.54 # System time : 0.022 s
% 0.19/0.54 # Total time : 0.185 s
% 0.19/0.54 # Maximum resident set size: 1724 pages
% 0.19/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------