TSTP Solution File: SEU206+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:25:14 EDT 2023
% Result : Theorem 475.22s 60.52s
% Output : CNFRefutation 475.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 3 unt; 0 def)
% Number of atoms : 138 ( 43 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 186 ( 74 ~; 88 |; 13 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-4 aty)
% Number of variables : 81 ( 2 sgn; 35 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q9eTYRAPxN/E---3.1_4418.p',d5_relat_1) ).
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.Q9eTYRAPxN/E---3.1_4418.p',d13_relat_1) ).
fof(t146_relat_1,conjecture,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Q9eTYRAPxN/E---3.1_4418.p',t146_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.Q9eTYRAPxN/E---3.1_4418.p',d4_relat_1) ).
fof(c_0_4,plain,
! [X7,X8,X9,X11,X12,X13,X15] :
( ( ~ in(X9,X8)
| in(ordered_pair(esk2_3(X7,X8,X9),X9),X7)
| X8 != relation_rng(X7)
| ~ relation(X7) )
& ( ~ in(ordered_pair(X12,X11),X7)
| in(X11,X8)
| X8 != relation_rng(X7)
| ~ relation(X7) )
& ( ~ in(esk3_2(X7,X13),X13)
| ~ in(ordered_pair(X15,esk3_2(X7,X13)),X7)
| X13 = relation_rng(X7)
| ~ relation(X7) )
& ( in(esk3_2(X7,X13),X13)
| in(ordered_pair(esk4_2(X7,X13),esk3_2(X7,X13)),X7)
| X13 = relation_rng(X7)
| ~ relation(X7) ) ),
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)],[d5_relat_1])])])])])]) ).
fof(c_0_5,plain,
! [X21,X22,X23,X24,X26,X27,X28,X29,X31] :
( ( in(ordered_pair(esk5_4(X21,X22,X23,X24),X24),X21)
| ~ in(X24,X23)
| X23 != relation_image(X21,X22)
| ~ relation(X21) )
& ( in(esk5_4(X21,X22,X23,X24),X22)
| ~ in(X24,X23)
| X23 != relation_image(X21,X22)
| ~ relation(X21) )
& ( ~ in(ordered_pair(X27,X26),X21)
| ~ in(X27,X22)
| in(X26,X23)
| X23 != relation_image(X21,X22)
| ~ relation(X21) )
& ( ~ in(esk6_3(X21,X28,X29),X29)
| ~ in(ordered_pair(X31,esk6_3(X21,X28,X29)),X21)
| ~ in(X31,X28)
| X29 = relation_image(X21,X28)
| ~ relation(X21) )
& ( in(ordered_pair(esk7_3(X21,X28,X29),esk6_3(X21,X28,X29)),X21)
| in(esk6_3(X21,X28,X29),X29)
| X29 = relation_image(X21,X28)
| ~ relation(X21) )
& ( in(esk7_3(X21,X28,X29),X28)
| in(esk6_3(X21,X28,X29),X29)
| X29 = relation_image(X21,X28)
| ~ relation(X21) ) ),
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])])])])])]) ).
cnf(c_0_6,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( in(ordered_pair(esk7_3(X1,X2,X3),esk6_3(X1,X2,X3)),X1)
| in(esk6_3(X1,X2,X3),X3)
| X3 = relation_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
inference(assume_negation,[status(cth)],[t146_relat_1]) ).
fof(c_0_9,plain,
! [X33,X34,X35,X37,X38,X39,X41] :
( ( ~ in(X35,X34)
| in(ordered_pair(X35,esk8_3(X33,X34,X35)),X33)
| X34 != relation_dom(X33)
| ~ relation(X33) )
& ( ~ in(ordered_pair(X37,X38),X33)
| in(X37,X34)
| X34 != relation_dom(X33)
| ~ relation(X33) )
& ( ~ in(esk9_2(X33,X39),X39)
| ~ in(ordered_pair(esk9_2(X33,X39),X41),X33)
| X39 = relation_dom(X33)
| ~ relation(X33) )
& ( in(esk9_2(X33,X39),X39)
| in(ordered_pair(esk9_2(X33,X39),esk10_2(X33,X39)),X33)
| X39 = relation_dom(X33)
| ~ relation(X33) ) ),
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])])])])])]) ).
cnf(c_0_10,plain,
( X1 = relation_image(X2,X3)
| in(esk6_3(X2,X3,X1),X1)
| in(esk6_3(X2,X3,X1),X4)
| X4 != relation_rng(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_11,negated_conjecture,
( relation(esk1_0)
& relation_image(esk1_0,relation_dom(esk1_0)) != relation_rng(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_12,plain,
( X3 = relation_image(X1,X2)
| ~ in(esk6_3(X1,X2,X3),X3)
| ~ in(ordered_pair(X4,esk6_3(X1,X2,X3)),X1)
| ~ in(X4,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( in(ordered_pair(esk2_3(X3,X2,X1),X1),X3)
| ~ in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( X1 = relation_image(X2,X3)
| in(esk6_3(X2,X3,X1),relation_rng(X2))
| in(esk6_3(X2,X3,X1),X1)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( X1 = relation_image(X2,X3)
| X4 != relation_rng(X2)
| ~ relation(X2)
| ~ in(esk2_3(X2,X4,esk6_3(X2,X3,X1)),X3)
| ~ in(esk6_3(X2,X3,X1),X1)
| ~ in(esk6_3(X2,X3,X1),X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( in(esk2_3(X1,X2,X3),X4)
| X4 != relation_dom(X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( X1 = relation_image(esk1_0,X2)
| in(esk6_3(esk1_0,X2,X1),relation_rng(esk1_0))
| in(esk6_3(esk1_0,X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( X1 = relation_image(X2,X3)
| X4 != relation_rng(X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk6_3(X2,X3,X1),X1)
| ~ in(esk6_3(X2,X3,X1),X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( relation_image(esk1_0,X1) = relation_rng(esk1_0)
| in(esk6_3(esk1_0,X1,relation_rng(esk1_0)),relation_rng(esk1_0)) ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( relation_image(esk1_0,X1) = relation_rng(esk1_0)
| X2 != relation_rng(esk1_0)
| X1 != relation_dom(esk1_0)
| ~ in(esk6_3(esk1_0,X1,relation_rng(esk1_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
relation_image(esk1_0,relation_dom(esk1_0)) != relation_rng(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
( relation_image(esk1_0,X1) = relation_rng(esk1_0)
| X1 != relation_dom(esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 08:29:21 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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.Q9eTYRAPxN/E---3.1_4418.p
% 475.22/60.51 # Version: 3.1pre001
% 475.22/60.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 475.22/60.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 475.22/60.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 475.22/60.51 # Starting new_bool_3 with 300s (1) cores
% 475.22/60.51 # Starting new_bool_1 with 300s (1) cores
% 475.22/60.51 # Starting sh5l with 300s (1) cores
% 475.22/60.51 # sh5l with pid 4499 completed with status 0
% 475.22/60.51 # Result found by sh5l
% 475.22/60.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 475.22/60.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 475.22/60.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 475.22/60.51 # Starting new_bool_3 with 300s (1) cores
% 475.22/60.51 # Starting new_bool_1 with 300s (1) cores
% 475.22/60.51 # Starting sh5l with 300s (1) cores
% 475.22/60.51 # SinE strategy is gf500_gu_R04_F100_L20000
% 475.22/60.51 # Search class: FGHSM-FFMM31-SFFFFFNN
% 475.22/60.51 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 475.22/60.51 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 475.22/60.51 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 4506 completed with status 7
% 475.22/60.51 # Starting sh5l with 31s (1) cores
% 475.22/60.52 # sh5l with pid 4558 completed with status 7
% 475.22/60.52 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 475.22/60.52 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 4904 completed with status 0
% 475.22/60.52 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 475.22/60.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 475.22/60.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 475.22/60.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 475.22/60.52 # Starting new_bool_3 with 300s (1) cores
% 475.22/60.52 # Starting new_bool_1 with 300s (1) cores
% 475.22/60.52 # Starting sh5l with 300s (1) cores
% 475.22/60.52 # SinE strategy is gf500_gu_R04_F100_L20000
% 475.22/60.52 # Search class: FGHSM-FFMM31-SFFFFFNN
% 475.22/60.52 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 475.22/60.52 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 475.22/60.52 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 4506 completed with status 7
% 475.22/60.52 # Starting sh5l with 31s (1) cores
% 475.22/60.52 # sh5l with pid 4558 completed with status 7
% 475.22/60.52 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 475.22/60.52 # Preprocessing time : 0.001 s
% 475.22/60.52
% 475.22/60.52 # Proof found!
% 475.22/60.52 # SZS status Theorem
% 475.22/60.52 # SZS output start CNFRefutation
% See solution above
% 475.22/60.52 # Parsed axioms : 46
% 475.22/60.52 # Removed by relevancy pruning/SinE : 9
% 475.22/60.52 # Initial clauses : 61
% 475.22/60.52 # Removed in clause preprocessing : 0
% 475.22/60.52 # Initial clauses in saturation : 61
% 475.22/60.52 # Processed clauses : 1249
% 475.22/60.52 # ...of these trivial : 26
% 475.22/60.52 # ...subsumed : 716
% 475.22/60.52 # ...remaining for further processing : 507
% 475.22/60.52 # Other redundant clauses eliminated : 2
% 475.22/60.52 # Clauses deleted for lack of memory : 0
% 475.22/60.52 # Backward-subsumed : 26
% 475.22/60.52 # Backward-rewritten : 24
% 475.22/60.52 # Generated clauses : 7416
% 475.22/60.52 # ...of the previous two non-redundant : 7061
% 475.22/60.52 # ...aggressively subsumed : 0
% 475.22/60.52 # Contextual simplify-reflections : 40
% 475.22/60.52 # Paramodulations : 7345
% 475.22/60.52 # Factorizations : 10
% 475.22/60.52 # NegExts : 0
% 475.22/60.52 # Equation resolutions : 61
% 475.22/60.52 # Total rewrite steps : 1186
% 475.22/60.52 # Propositional unsat checks : 0
% 475.22/60.52 # Propositional check models : 0
% 475.22/60.52 # Propositional check unsatisfiable : 0
% 475.22/60.52 # Propositional clauses : 0
% 475.22/60.52 # Propositional clauses after purity: 0
% 475.22/60.52 # Propositional unsat core size : 0
% 475.22/60.52 # Propositional preprocessing time : 0.000
% 475.22/60.52 # Propositional encoding time : 0.000
% 475.22/60.52 # Propositional solver time : 0.000
% 475.22/60.52 # Success case prop preproc time : 0.000
% 475.22/60.52 # Success case prop encoding time : 0.000
% 475.22/60.52 # Success case prop solver time : 0.000
% 475.22/60.52 # Current number of processed clauses : 455
% 475.22/60.52 # Positive orientable unit clauses : 33
% 475.22/60.52 # Positive unorientable unit clauses: 1
% 475.22/60.52 # Negative unit clauses : 22
% 475.22/60.52 # Non-unit-clauses : 399
% 475.22/60.52 # Current number of unprocessed clauses: 5645
% 475.22/60.52 # ...number of literals in the above : 26618
% 475.22/60.52 # Current number of archived formulas : 0
% 475.22/60.52 # Current number of archived clauses : 50
% 475.22/60.52 # Clause-clause subsumption calls (NU) : 34987
% 475.22/60.52 # Rec. Clause-clause subsumption calls : 15998
% 475.22/60.52 # Non-unit clause-clause subsumptions : 570
% 475.22/60.52 # Unit Clause-clause subsumption calls : 1555
% 475.22/60.52 # Rewrite failures with RHS unbound : 0
% 475.22/60.52 # BW rewrite match attempts : 18
% 475.22/60.52 # BW rewrite match successes : 12
% 475.22/60.52 # Condensation attempts : 0
% 475.22/60.52 # Condensation successes : 0
% 475.22/60.52 # Termbank termtop insertions : 107308
% 475.22/60.52
% 475.22/60.52 # -------------------------------------------------
% 475.22/60.52 # User time : 58.444 s
% 475.22/60.52 # System time : 0.798 s
% 475.22/60.52 # Total time : 59.243 s
% 475.22/60.52 # Maximum resident set size: 1948 pages
% 475.22/60.52
% 475.22/60.52 # -------------------------------------------------
% 475.22/60.52 # User time : 58.450 s
% 475.22/60.52 # System time : 0.799 s
% 475.22/60.52 # Total time : 59.248 s
% 475.22/60.52 # Maximum resident set size: 1708 pages
% 475.22/60.52 % E---3.1 exiting
% 475.22/60.52 % E---3.1 exiting
%------------------------------------------------------------------------------