TSTP Solution File: SEU208+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 19:25:15 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 141 ( 16 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 174 ( 67 ~; 80 |; 17 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 69 ( 2 sgn; 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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.s4NPz2JDAu/E---3.1_21674.p',d14_relat_1) ).
fof(t166_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s4NPz2JDAu/E---3.1_21674.p',t166_relat_1) ).
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.s4NPz2JDAu/E---3.1_21674.p',d5_relat_1) ).
fof(c_0_3,plain,
! [X29,X30,X31,X32,X34,X35,X36,X37,X39] :
( ( in(ordered_pair(X32,esk8_4(X29,X30,X31,X32)),X29)
| ~ in(X32,X31)
| X31 != relation_inverse_image(X29,X30)
| ~ relation(X29) )
& ( in(esk8_4(X29,X30,X31,X32),X30)
| ~ in(X32,X31)
| X31 != relation_inverse_image(X29,X30)
| ~ relation(X29) )
& ( ~ in(ordered_pair(X34,X35),X29)
| ~ in(X35,X30)
| in(X34,X31)
| X31 != relation_inverse_image(X29,X30)
| ~ relation(X29) )
& ( ~ in(esk9_3(X29,X36,X37),X37)
| ~ in(ordered_pair(esk9_3(X29,X36,X37),X39),X29)
| ~ in(X39,X36)
| X37 = relation_inverse_image(X29,X36)
| ~ relation(X29) )
& ( in(ordered_pair(esk9_3(X29,X36,X37),esk10_3(X29,X36,X37)),X29)
| in(esk9_3(X29,X36,X37),X37)
| X37 = relation_inverse_image(X29,X36)
| ~ relation(X29) )
& ( in(esk10_3(X29,X36,X37),X36)
| in(esk9_3(X29,X36,X37),X37)
| X37 = relation_inverse_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)],[d14_relat_1])])])])])]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t166_relat_1]) ).
fof(c_0_5,plain,
! [X15,X16,X17,X19,X20,X21,X23] :
( ( ~ in(X17,X16)
| in(ordered_pair(esk5_3(X15,X16,X17),X17),X15)
| X16 != relation_rng(X15)
| ~ relation(X15) )
& ( ~ in(ordered_pair(X20,X19),X15)
| in(X19,X16)
| X16 != relation_rng(X15)
| ~ relation(X15) )
& ( ~ in(esk6_2(X15,X21),X21)
| ~ in(ordered_pair(X23,esk6_2(X15,X21)),X15)
| X21 = relation_rng(X15)
| ~ relation(X15) )
& ( in(esk6_2(X15,X21),X21)
| in(ordered_pair(esk7_2(X15,X21),esk6_2(X15,X21)),X15)
| X21 = relation_rng(X15)
| ~ relation(X15) ) ),
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])])])])])]) ).
cnf(c_0_6,plain,
( in(ordered_pair(X1,esk8_4(X2,X3,X4,X1)),X2)
| ~ in(X1,X4)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,negated_conjecture,
! [X9] :
( relation(esk3_0)
& ( ~ in(esk1_0,relation_inverse_image(esk3_0,esk2_0))
| ~ in(X9,relation_rng(esk3_0))
| ~ in(ordered_pair(esk1_0,X9),esk3_0)
| ~ in(X9,esk2_0) )
& ( in(esk4_0,relation_rng(esk3_0))
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) )
& ( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) )
& ( in(esk4_0,esk2_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_8,plain,
( in(esk8_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X1,esk8_4(X2,X3,relation_inverse_image(X2,X3),X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( ~ in(esk1_0,relation_inverse_image(esk3_0,esk2_0))
| ~ in(X1,relation_rng(esk3_0))
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( in(esk8_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(ordered_pair(X3,X1),X2) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( in(ordered_pair(esk1_0,esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0)),esk3_0)
| in(ordered_pair(esk1_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_17,negated_conjecture,
( in(esk4_0,esk2_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,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_3]) ).
cnf(c_0_19,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( in(esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0),esk2_0)
| in(ordered_pair(esk1_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
( in(esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0),relation_rng(esk3_0))
| in(ordered_pair(esk1_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).
cnf(c_0_22,negated_conjecture,
( in(ordered_pair(esk1_0,esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0)),esk3_0)
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_12])]) ).
cnf(c_0_23,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
in(ordered_pair(esk1_0,esk4_0),esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( in(esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0),esk2_0)
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_17]),c_0_12])]) ).
cnf(c_0_27,negated_conjecture,
( in(esk8_4(esk3_0,esk2_0,relation_inverse_image(esk3_0,esk2_0),esk1_0),relation_rng(esk3_0))
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_12])]) ).
cnf(c_0_28,negated_conjecture,
( in(esk1_0,relation_inverse_image(esk3_0,X1))
| ~ in(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_12])]) ).
cnf(c_0_29,negated_conjecture,
in(esk4_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_22]) ).
cnf(c_0_30,negated_conjecture,
in(esk1_0,relation_inverse_image(esk3_0,esk2_0)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_30])]) ).
cnf(c_0_32,negated_conjecture,
in(esk4_0,relation_rng(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_12])]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_24]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 09:38:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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.s4NPz2JDAu/E---3.1_21674.p
% 0.20/0.53 # Version: 3.1pre001
% 0.20/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.53 # Starting sh5l with 300s (1) cores
% 0.20/0.53 # new_bool_3 with pid 21840 completed with status 0
% 0.20/0.53 # Result found by new_bool_3
% 0.20/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.53 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.20/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 21845 completed with status 0
% 0.20/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.20/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.53 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.20/0.53 # Preprocessing time : 0.002 s
% 0.20/0.53 # Presaturation interreduction done
% 0.20/0.53
% 0.20/0.53 # Proof found!
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% See solution above
% 0.20/0.53 # Parsed axioms : 31
% 0.20/0.53 # Removed by relevancy pruning/SinE : 17
% 0.20/0.53 # Initial clauses : 29
% 0.20/0.53 # Removed in clause preprocessing : 0
% 0.20/0.53 # Initial clauses in saturation : 29
% 0.20/0.53 # Processed clauses : 259
% 0.20/0.53 # ...of these trivial : 0
% 0.20/0.53 # ...subsumed : 130
% 0.20/0.53 # ...remaining for further processing : 129
% 0.20/0.53 # Other redundant clauses eliminated : 5
% 0.20/0.53 # Clauses deleted for lack of memory : 0
% 0.20/0.53 # Backward-subsumed : 10
% 0.20/0.53 # Backward-rewritten : 27
% 0.20/0.53 # Generated clauses : 1050
% 0.20/0.53 # ...of the previous two non-redundant : 1041
% 0.20/0.53 # ...aggressively subsumed : 0
% 0.20/0.53 # Contextual simplify-reflections : 8
% 0.20/0.53 # Paramodulations : 1045
% 0.20/0.53 # Factorizations : 0
% 0.20/0.53 # NegExts : 0
% 0.20/0.53 # Equation resolutions : 5
% 0.20/0.53 # Total rewrite steps : 176
% 0.20/0.53 # Propositional unsat checks : 0
% 0.20/0.53 # Propositional check models : 0
% 0.20/0.53 # Propositional check unsatisfiable : 0
% 0.20/0.53 # Propositional clauses : 0
% 0.20/0.53 # Propositional clauses after purity: 0
% 0.20/0.53 # Propositional unsat core size : 0
% 0.20/0.53 # Propositional preprocessing time : 0.000
% 0.20/0.53 # Propositional encoding time : 0.000
% 0.20/0.53 # Propositional solver time : 0.000
% 0.20/0.53 # Success case prop preproc time : 0.000
% 0.20/0.53 # Success case prop encoding time : 0.000
% 0.20/0.53 # Success case prop solver time : 0.000
% 0.20/0.53 # Current number of processed clauses : 58
% 0.20/0.53 # Positive orientable unit clauses : 22
% 0.20/0.53 # Positive unorientable unit clauses: 0
% 0.20/0.53 # Negative unit clauses : 9
% 0.20/0.53 # Non-unit-clauses : 27
% 0.20/0.53 # Current number of unprocessed clauses: 791
% 0.20/0.53 # ...number of literals in the above : 3245
% 0.20/0.53 # Current number of archived formulas : 0
% 0.20/0.53 # Current number of archived clauses : 66
% 0.20/0.53 # Clause-clause subsumption calls (NU) : 1131
% 0.20/0.53 # Rec. Clause-clause subsumption calls : 730
% 0.20/0.53 # Non-unit clause-clause subsumptions : 101
% 0.20/0.53 # Unit Clause-clause subsumption calls : 493
% 0.20/0.53 # Rewrite failures with RHS unbound : 0
% 0.20/0.53 # BW rewrite match attempts : 79
% 0.20/0.53 # BW rewrite match successes : 4
% 0.20/0.53 # Condensation attempts : 0
% 0.20/0.53 # Condensation successes : 0
% 0.20/0.53 # Termbank termtop insertions : 15545
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.027 s
% 0.20/0.53 # System time : 0.005 s
% 0.20/0.53 # Total time : 0.031 s
% 0.20/0.53 # Maximum resident set size: 1832 pages
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.028 s
% 0.20/0.53 # System time : 0.007 s
% 0.20/0.53 # Total time : 0.035 s
% 0.20/0.53 # Maximum resident set size: 1696 pages
% 0.20/0.53 % E---3.1 exiting
% 0.20/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------