TSTP Solution File: SEU049+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:24:38 EDT 2023
% Result : Theorem 1.89s 0.65s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 138 ( 48 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 183 ( 74 ~; 82 |; 18 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-4 aty)
% Number of variables : 65 ( 0 sgn; 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.hSzNNw5cDn/E---3.1_10667.p',d1_tarski) ).
fof(d12_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,relation_dom(X1))
& in(X5,X2)
& X4 = apply(X1,X5) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hSzNNw5cDn/E---3.1_10667.p',d12_funct_1) ).
fof(t117_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> relation_image(X2,singleton(X1)) = singleton(apply(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.hSzNNw5cDn/E---3.1_10667.p',t117_funct_1) ).
fof(c_0_3,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( ~ in(X25,X24)
| X25 = X23
| X24 != singleton(X23) )
& ( X26 != X23
| in(X26,X24)
| X24 != singleton(X23) )
& ( ~ in(esk4_2(X27,X28),X28)
| esk4_2(X27,X28) != X27
| X28 = singleton(X27) )
& ( in(esk4_2(X27,X28),X28)
| esk4_2(X27,X28) = X27
| X28 = singleton(X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
fof(c_0_4,plain,
! [X11,X12,X13,X14,X16,X17,X18,X19,X21] :
( ( in(esk1_4(X11,X12,X13,X14),relation_dom(X11))
| ~ in(X14,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11)
| ~ function(X11) )
& ( in(esk1_4(X11,X12,X13,X14),X12)
| ~ in(X14,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11)
| ~ function(X11) )
& ( X14 = apply(X11,esk1_4(X11,X12,X13,X14))
| ~ in(X14,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11)
| ~ function(X11) )
& ( ~ in(X17,relation_dom(X11))
| ~ in(X17,X12)
| X16 != apply(X11,X17)
| in(X16,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11)
| ~ function(X11) )
& ( ~ in(esk2_3(X11,X18,X19),X19)
| ~ in(X21,relation_dom(X11))
| ~ in(X21,X18)
| esk2_3(X11,X18,X19) != apply(X11,X21)
| X19 = relation_image(X11,X18)
| ~ relation(X11)
| ~ function(X11) )
& ( in(esk3_3(X11,X18,X19),relation_dom(X11))
| in(esk2_3(X11,X18,X19),X19)
| X19 = relation_image(X11,X18)
| ~ relation(X11)
| ~ function(X11) )
& ( in(esk3_3(X11,X18,X19),X18)
| in(esk2_3(X11,X18,X19),X19)
| X19 = relation_image(X11,X18)
| ~ relation(X11)
| ~ function(X11) )
& ( esk2_3(X11,X18,X19) = apply(X11,esk3_3(X11,X18,X19))
| in(esk2_3(X11,X18,X19),X19)
| X19 = relation_image(X11,X18)
| ~ relation(X11)
| ~ function(X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_funct_1])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> relation_image(X2,singleton(X1)) = singleton(apply(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[t117_funct_1]) ).
cnf(c_0_6,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( relation(esk17_0)
& function(esk17_0)
& in(esk16_0,relation_dom(esk17_0))
& relation_image(esk17_0,singleton(esk16_0)) != singleton(apply(esk17_0,esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(esk1_4(X1,X2,relation_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
relation_image(esk17_0,singleton(esk16_0)) != singleton(apply(esk17_0,esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( in(esk4_2(X1,X2),X2)
| esk4_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( X1 = apply(X2,esk1_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( esk1_4(X1,singleton(X2),relation_image(X1,singleton(X2)),X3) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,relation_image(X1,singleton(X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( esk4_2(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0))) = apply(esk17_0,esk16_0)
| in(esk4_2(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0))),relation_image(esk17_0,singleton(esk16_0))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( apply(X1,esk1_4(X1,X2,relation_image(X1,X2),X3)) = X3
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( esk1_4(esk17_0,singleton(esk16_0),relation_image(esk17_0,singleton(esk16_0)),esk4_2(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0)))) = esk16_0
| esk4_2(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0))) = apply(esk17_0,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_20,plain,
( X2 = singleton(X1)
| ~ in(esk4_2(X1,X2),X2)
| esk4_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
esk4_2(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0))) = apply(esk17_0,esk16_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]),c_0_17])]),c_0_15]) ).
cnf(c_0_22,plain,
( in(X4,X5)
| ~ in(X1,relation_dom(X2))
| ~ in(X1,X3)
| X4 != apply(X2,X1)
| X5 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
~ in(apply(esk17_0,esk16_0),relation_image(esk17_0,singleton(esk16_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]) ).
cnf(c_0_25,plain,
( in(apply(X1,X2),relation_image(X1,X3))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
in(esk16_0,relation_dom(esk17_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]),c_0_17]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 09:04:36 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hSzNNw5cDn/E---3.1_10667.p
% 1.89/0.65 # Version: 3.1pre001
% 1.89/0.65 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.89/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.89/0.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.89/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.89/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.89/0.65 # Starting sh5l with 300s (1) cores
% 1.89/0.65 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10745 completed with status 0
% 1.89/0.65 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.89/0.65 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.89/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.89/0.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.89/0.65 # No SInE strategy applied
% 1.89/0.65 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1.89/0.65 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.89/0.65 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.89/0.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.89/0.65 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1.89/0.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.89/0.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 1.89/0.65 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10749 completed with status 0
% 1.89/0.65 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.89/0.65 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.89/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.89/0.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.89/0.65 # No SInE strategy applied
% 1.89/0.65 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1.89/0.65 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.89/0.65 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.89/0.65 # Preprocessing time : 0.001 s
% 1.89/0.65 # Presaturation interreduction done
% 1.89/0.65
% 1.89/0.65 # Proof found!
% 1.89/0.65 # SZS status Theorem
% 1.89/0.65 # SZS output start CNFRefutation
% See solution above
% 1.89/0.65 # Parsed axioms : 35
% 1.89/0.65 # Removed by relevancy pruning/SinE : 0
% 1.89/0.65 # Initial clauses : 66
% 1.89/0.65 # Removed in clause preprocessing : 2
% 1.89/0.65 # Initial clauses in saturation : 64
% 1.89/0.65 # Processed clauses : 1301
% 1.89/0.65 # ...of these trivial : 51
% 1.89/0.65 # ...subsumed : 707
% 1.89/0.65 # ...remaining for further processing : 543
% 1.89/0.65 # Other redundant clauses eliminated : 63
% 1.89/0.65 # Clauses deleted for lack of memory : 0
% 1.89/0.65 # Backward-subsumed : 10
% 1.89/0.65 # Backward-rewritten : 26
% 1.89/0.65 # Generated clauses : 9894
% 1.89/0.65 # ...of the previous two non-redundant : 9345
% 1.89/0.65 # ...aggressively subsumed : 0
% 1.89/0.65 # Contextual simplify-reflections : 13
% 1.89/0.65 # Paramodulations : 9819
% 1.89/0.65 # Factorizations : 14
% 1.89/0.65 # NegExts : 0
% 1.89/0.65 # Equation resolutions : 63
% 1.89/0.65 # Total rewrite steps : 2014
% 1.89/0.65 # Propositional unsat checks : 0
% 1.89/0.65 # Propositional check models : 0
% 1.89/0.65 # Propositional check unsatisfiable : 0
% 1.89/0.65 # Propositional clauses : 0
% 1.89/0.65 # Propositional clauses after purity: 0
% 1.89/0.65 # Propositional unsat core size : 0
% 1.89/0.65 # Propositional preprocessing time : 0.000
% 1.89/0.65 # Propositional encoding time : 0.000
% 1.89/0.65 # Propositional solver time : 0.000
% 1.89/0.65 # Success case prop preproc time : 0.000
% 1.89/0.65 # Success case prop encoding time : 0.000
% 1.89/0.65 # Success case prop solver time : 0.000
% 1.89/0.65 # Current number of processed clauses : 440
% 1.89/0.65 # Positive orientable unit clauses : 100
% 1.89/0.65 # Positive unorientable unit clauses: 0
% 1.89/0.65 # Negative unit clauses : 73
% 1.89/0.65 # Non-unit-clauses : 267
% 1.89/0.65 # Current number of unprocessed clauses: 8061
% 1.89/0.65 # ...number of literals in the above : 43193
% 1.89/0.65 # Current number of archived formulas : 0
% 1.89/0.65 # Current number of archived clauses : 97
% 1.89/0.65 # Clause-clause subsumption calls (NU) : 12474
% 1.89/0.65 # Rec. Clause-clause subsumption calls : 6690
% 1.89/0.65 # Non-unit clause-clause subsumptions : 296
% 1.89/0.65 # Unit Clause-clause subsumption calls : 3010
% 1.89/0.65 # Rewrite failures with RHS unbound : 0
% 1.89/0.65 # BW rewrite match attempts : 52
% 1.89/0.65 # BW rewrite match successes : 11
% 1.89/0.65 # Condensation attempts : 0
% 1.89/0.65 # Condensation successes : 0
% 1.89/0.65 # Termbank termtop insertions : 178601
% 1.89/0.65
% 1.89/0.65 # -------------------------------------------------
% 1.89/0.65 # User time : 0.216 s
% 1.89/0.65 # System time : 0.009 s
% 1.89/0.65 # Total time : 0.225 s
% 1.89/0.65 # Maximum resident set size: 1836 pages
% 1.89/0.65
% 1.89/0.65 # -------------------------------------------------
% 1.89/0.65 # User time : 1.061 s
% 1.89/0.65 # System time : 0.043 s
% 1.89/0.65 # Total time : 1.104 s
% 1.89/0.65 # Maximum resident set size: 1700 pages
% 1.89/0.65 % E---3.1 exiting
% 1.89/0.65 % E---3.1 exiting
%------------------------------------------------------------------------------