TSTP Solution File: SEU227+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU227+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:31:02 EDT 2023
% Result : Theorem 70.25s 9.47s
% Output : CNFRefutation 70.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 173 ( 34 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 241 ( 99 ~; 108 |; 19 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-4 aty)
% Number of variables : 104 ( 0 sgn; 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JQ4ovwPm94/E---3.1_30857.p',d13_relat_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JQ4ovwPm94/E---3.1_30857.p',d4_relat_1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JQ4ovwPm94/E---3.1_30857.p',d14_relat_1) ).
fof(t146_funct_1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( subset(X1,relation_dom(X2))
=> subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.JQ4ovwPm94/E---3.1_30857.p',t146_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.JQ4ovwPm94/E---3.1_30857.p',d3_tarski) ).
fof(c_0_5,plain,
! [X29,X30,X31,X32,X34,X35,X36,X37,X39] :
( ( in(ordered_pair(esk7_4(X29,X30,X31,X32),X32),X29)
| ~ in(X32,X31)
| X31 != relation_image(X29,X30)
| ~ relation(X29) )
& ( in(esk7_4(X29,X30,X31,X32),X30)
| ~ in(X32,X31)
| X31 != relation_image(X29,X30)
| ~ relation(X29) )
& ( ~ in(ordered_pair(X35,X34),X29)
| ~ in(X35,X30)
| in(X34,X31)
| X31 != relation_image(X29,X30)
| ~ relation(X29) )
& ( ~ in(esk8_3(X29,X36,X37),X37)
| ~ in(ordered_pair(X39,esk8_3(X29,X36,X37)),X29)
| ~ in(X39,X36)
| X37 = relation_image(X29,X36)
| ~ relation(X29) )
& ( in(ordered_pair(esk9_3(X29,X36,X37),esk8_3(X29,X36,X37)),X29)
| in(esk8_3(X29,X36,X37),X37)
| X37 = relation_image(X29,X36)
| ~ relation(X29) )
& ( in(esk9_3(X29,X36,X37),X36)
| in(esk8_3(X29,X36,X37),X37)
| X37 = relation_image(X29,X36)
| ~ relation(X29) ) ),
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)],[d13_relat_1])])])])])]) ).
fof(c_0_6,plain,
! [X41,X42,X43,X45,X46,X47,X49] :
( ( ~ in(X43,X42)
| in(ordered_pair(X43,esk10_3(X41,X42,X43)),X41)
| X42 != relation_dom(X41)
| ~ relation(X41) )
& ( ~ in(ordered_pair(X45,X46),X41)
| in(X45,X42)
| X42 != relation_dom(X41)
| ~ relation(X41) )
& ( ~ in(esk11_2(X41,X47),X47)
| ~ in(ordered_pair(esk11_2(X41,X47),X49),X41)
| X47 = relation_dom(X41)
| ~ relation(X41) )
& ( in(esk11_2(X41,X47),X47)
| in(ordered_pair(esk11_2(X41,X47),esk12_2(X41,X47)),X41)
| X47 = relation_dom(X41)
| ~ relation(X41) ) ),
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)],[d4_relat_1])])])])])]) ).
fof(c_0_7,plain,
! [X17,X18,X19,X20,X22,X23,X24,X25,X27] :
( ( in(ordered_pair(X20,esk4_4(X17,X18,X19,X20)),X17)
| ~ in(X20,X19)
| X19 != relation_inverse_image(X17,X18)
| ~ relation(X17) )
& ( in(esk4_4(X17,X18,X19,X20),X18)
| ~ in(X20,X19)
| X19 != relation_inverse_image(X17,X18)
| ~ relation(X17) )
& ( ~ in(ordered_pair(X22,X23),X17)
| ~ in(X23,X18)
| in(X22,X19)
| X19 != relation_inverse_image(X17,X18)
| ~ relation(X17) )
& ( ~ in(esk5_3(X17,X24,X25),X25)
| ~ in(ordered_pair(esk5_3(X17,X24,X25),X27),X17)
| ~ in(X27,X24)
| X25 = relation_inverse_image(X17,X24)
| ~ relation(X17) )
& ( in(ordered_pair(esk5_3(X17,X24,X25),esk6_3(X17,X24,X25)),X17)
| in(esk5_3(X17,X24,X25),X25)
| X25 = relation_inverse_image(X17,X24)
| ~ relation(X17) )
& ( in(esk6_3(X17,X24,X25),X24)
| in(esk5_3(X17,X24,X25),X25)
| X25 = relation_inverse_image(X17,X24)
| ~ relation(X17) ) ),
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)],[d14_relat_1])])])])])]) ).
cnf(c_0_8,plain,
( in(X2,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X1,X4)
| X5 != relation_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( in(ordered_pair(X1,esk10_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(X1,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X2,X4)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( in(esk10_3(X1,X2,X3),X4)
| X4 != relation_image(X1,X5)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X5)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( subset(X1,relation_dom(X2))
=> subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ) ),
inference(assume_negation,[status(cth)],[t146_funct_1]) ).
cnf(c_0_13,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(esk10_3(X3,X5,X1),X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,plain,
( in(esk10_3(X1,X2,X3),relation_image(X1,X4))
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X4)
| ~ in(X3,X2) ),
inference(er,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ subset(X8,X9)
| ~ in(X10,X8)
| in(X10,X9) )
& ( in(esk3_2(X11,X12),X11)
| subset(X11,X12) )
& ( ~ in(esk3_2(X11,X12),X12)
| subset(X11,X12) ) ),
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)],[d3_tarski])])])])])]) ).
fof(c_0_16,negated_conjecture,
( relation(esk2_0)
& subset(esk1_0,relation_dom(esk2_0))
& ~ subset(esk1_0,relation_inverse_image(esk2_0,relation_image(esk2_0,esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_17,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,relation_image(X3,X4))
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X5)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
subset(esk1_0,relation_dom(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| X4 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,relation_dom(esk2_0))
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk2_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,esk1_0)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( subset(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk2_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk3_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),esk1_0)
| ~ in(esk3_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
( in(esk3_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( subset(esk1_0,relation_inverse_image(X1,relation_image(X1,X2)))
| relation_dom(esk2_0) != relation_dom(X1)
| ~ relation(X1)
| ~ in(esk3_2(esk1_0,relation_inverse_image(X1,relation_image(X1,X2))),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
~ subset(esk1_0,relation_inverse_image(esk2_0,relation_image(esk2_0,esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( subset(esk1_0,relation_inverse_image(X1,relation_image(X1,esk1_0)))
| relation_dom(esk2_0) != relation_dom(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SEU227+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n013.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 2400
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Oct 2 09:02:14 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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.JQ4ovwPm94/E---3.1_30857.p
% 70.25/9.47 # Version: 3.1pre001
% 70.25/9.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 70.25/9.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.25/9.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.25/9.47 # Starting new_bool_3 with 300s (1) cores
% 70.25/9.47 # Starting new_bool_1 with 300s (1) cores
% 70.25/9.47 # Starting sh5l with 300s (1) cores
% 70.25/9.47 # sh5l with pid 31012 completed with status 0
% 70.25/9.47 # Result found by sh5l
% 70.25/9.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 70.25/9.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.25/9.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.25/9.47 # Starting new_bool_3 with 300s (1) cores
% 70.25/9.47 # Starting new_bool_1 with 300s (1) cores
% 70.25/9.47 # Starting sh5l with 300s (1) cores
% 70.25/9.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 70.25/9.47 # Search class: FGHSM-FFMM32-SFFFFFNN
% 70.25/9.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 70.25/9.47 # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 70.25/9.47 # G-E--_301_C18_F1_URBAN_S0Y with pid 31023 completed with status 0
% 70.25/9.47 # Result found by G-E--_301_C18_F1_URBAN_S0Y
% 70.25/9.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 70.25/9.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.25/9.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.25/9.47 # Starting new_bool_3 with 300s (1) cores
% 70.25/9.47 # Starting new_bool_1 with 300s (1) cores
% 70.25/9.47 # Starting sh5l with 300s (1) cores
% 70.25/9.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 70.25/9.47 # Search class: FGHSM-FFMM32-SFFFFFNN
% 70.25/9.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 70.25/9.47 # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 70.25/9.47 # Preprocessing time : 0.002 s
% 70.25/9.47
% 70.25/9.47 # Proof found!
% 70.25/9.47 # SZS status Theorem
% 70.25/9.47 # SZS output start CNFRefutation
% See solution above
% 70.25/9.47 # Parsed axioms : 40
% 70.25/9.47 # Removed by relevancy pruning/SinE : 0
% 70.25/9.47 # Initial clauses : 74
% 70.25/9.47 # Removed in clause preprocessing : 2
% 70.25/9.47 # Initial clauses in saturation : 72
% 70.25/9.47 # Processed clauses : 6950
% 70.25/9.47 # ...of these trivial : 146
% 70.25/9.47 # ...subsumed : 3749
% 70.25/9.47 # ...remaining for further processing : 3055
% 70.25/9.47 # Other redundant clauses eliminated : 0
% 70.25/9.47 # Clauses deleted for lack of memory : 0
% 70.25/9.47 # Backward-subsumed : 603
% 70.25/9.47 # Backward-rewritten : 159
% 70.25/9.47 # Generated clauses : 246131
% 70.25/9.47 # ...of the previous two non-redundant : 244603
% 70.25/9.47 # ...aggressively subsumed : 0
% 70.25/9.47 # Contextual simplify-reflections : 90
% 70.25/9.47 # Paramodulations : 245500
% 70.25/9.47 # Factorizations : 26
% 70.25/9.47 # NegExts : 0
% 70.25/9.47 # Equation resolutions : 605
% 70.25/9.47 # Total rewrite steps : 18557
% 70.25/9.47 # Propositional unsat checks : 0
% 70.25/9.47 # Propositional check models : 0
% 70.25/9.47 # Propositional check unsatisfiable : 0
% 70.25/9.47 # Propositional clauses : 0
% 70.25/9.47 # Propositional clauses after purity: 0
% 70.25/9.47 # Propositional unsat core size : 0
% 70.25/9.47 # Propositional preprocessing time : 0.000
% 70.25/9.47 # Propositional encoding time : 0.000
% 70.25/9.47 # Propositional solver time : 0.000
% 70.25/9.47 # Success case prop preproc time : 0.000
% 70.25/9.47 # Success case prop encoding time : 0.000
% 70.25/9.47 # Success case prop solver time : 0.000
% 70.25/9.47 # Current number of processed clauses : 2293
% 70.25/9.47 # Positive orientable unit clauses : 76
% 70.25/9.47 # Positive unorientable unit clauses: 1
% 70.25/9.47 # Negative unit clauses : 26
% 70.25/9.47 # Non-unit-clauses : 2190
% 70.25/9.47 # Current number of unprocessed clauses: 236339
% 70.25/9.47 # ...number of literals in the above : 1546831
% 70.25/9.47 # Current number of archived formulas : 0
% 70.25/9.47 # Current number of archived clauses : 762
% 70.25/9.47 # Clause-clause subsumption calls (NU) : 836889
% 70.25/9.47 # Rec. Clause-clause subsumption calls : 88910
% 70.25/9.47 # Non-unit clause-clause subsumptions : 2719
% 70.25/9.47 # Unit Clause-clause subsumption calls : 8323
% 70.25/9.47 # Rewrite failures with RHS unbound : 0
% 70.25/9.47 # BW rewrite match attempts : 93
% 70.25/9.47 # BW rewrite match successes : 24
% 70.25/9.47 # Condensation attempts : 0
% 70.25/9.47 # Condensation successes : 0
% 70.25/9.47 # Termbank termtop insertions : 6067415
% 70.25/9.47
% 70.25/9.47 # -------------------------------------------------
% 70.25/9.47 # User time : 8.502 s
% 70.25/9.47 # System time : 0.256 s
% 70.25/9.47 # Total time : 8.758 s
% 70.25/9.47 # Maximum resident set size: 1868 pages
% 70.25/9.47
% 70.25/9.47 # -------------------------------------------------
% 70.25/9.47 # User time : 8.505 s
% 70.25/9.47 # System time : 0.256 s
% 70.25/9.47 # Total time : 8.761 s
% 70.25/9.47 # Maximum resident set size: 1708 pages
% 70.25/9.47 % E---3.1 exiting
%------------------------------------------------------------------------------