TSTP Solution File: SEU182+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU182+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 19:30:46 EDT 2023
% Result : Theorem 2.92s 0.84s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 131 ( 15 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 170 ( 68 ~; 73 |; 14 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-5 aty)
% Number of variables : 69 ( 2 sgn; 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_relat_1,conjecture,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p',t44_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/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p',d4_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p',d3_tarski) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p',d8_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p',dt_k5_relat_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)) ) ),
inference(assume_negation,[status(cth)],[t44_relat_1]) ).
fof(c_0_6,plain,
! [X18,X19,X20,X22,X23,X24,X26] :
( ( ~ in(X20,X19)
| in(ordered_pair(X20,esk4_3(X18,X19,X20)),X18)
| X19 != relation_dom(X18)
| ~ relation(X18) )
& ( ~ in(ordered_pair(X22,X23),X18)
| in(X22,X19)
| X19 != relation_dom(X18)
| ~ relation(X18) )
& ( ~ in(esk5_2(X18,X24),X24)
| ~ in(ordered_pair(esk5_2(X18,X24),X26),X18)
| X24 = relation_dom(X18)
| ~ relation(X18) )
& ( in(esk5_2(X18,X24),X24)
| in(ordered_pair(esk5_2(X18,X24),esk6_2(X18,X24)),X18)
| X24 = relation_dom(X18)
| ~ relation(X18) ) ),
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,negated_conjecture,
( relation(esk1_0)
& relation(esk2_0)
& ~ subset(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X9,X10,X11,X12,X13] :
( ( ~ subset(X9,X10)
| ~ in(X11,X9)
| in(X11,X10) )
& ( in(esk3_2(X12,X13),X12)
| subset(X12,X13) )
& ( ~ in(esk3_2(X12,X13),X13)
| subset(X12,X13) ) ),
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])])])])])]) ).
cnf(c_0_9,plain,
( in(ordered_pair(X1,esk4_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,negated_conjecture,
~ subset(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( in(esk3_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X28,X29,X30,X31,X32,X34,X35,X36,X39] :
( ( in(ordered_pair(X31,esk7_5(X28,X29,X30,X31,X32)),X28)
| ~ in(ordered_pair(X31,X32),X30)
| X30 != relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(ordered_pair(esk7_5(X28,X29,X30,X31,X32),X32),X29)
| ~ in(ordered_pair(X31,X32),X30)
| X30 != relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) )
& ( ~ in(ordered_pair(X34,X36),X28)
| ~ in(ordered_pair(X36,X35),X29)
| in(ordered_pair(X34,X35),X30)
| X30 != relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) )
& ( ~ in(ordered_pair(esk8_3(X28,X29,X30),esk9_3(X28,X29,X30)),X30)
| ~ in(ordered_pair(esk8_3(X28,X29,X30),X39),X28)
| ~ in(ordered_pair(X39,esk9_3(X28,X29,X30)),X29)
| X30 = relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(ordered_pair(esk8_3(X28,X29,X30),esk10_3(X28,X29,X30)),X28)
| in(ordered_pair(esk8_3(X28,X29,X30),esk9_3(X28,X29,X30)),X30)
| X30 = relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(ordered_pair(esk10_3(X28,X29,X30),esk9_3(X28,X29,X30)),X29)
| in(ordered_pair(esk8_3(X28,X29,X30),esk9_3(X28,X29,X30)),X30)
| X30 = relation_composition(X28,X29)
| ~ relation(X30)
| ~ relation(X29)
| ~ relation(X28) ) ),
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)],[d8_relat_1])])])])])]) ).
fof(c_0_13,plain,
! [X41,X42] :
( ~ relation(X41)
| ~ relation(X42)
| relation(relation_composition(X41,X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
cnf(c_0_14,plain,
( in(ordered_pair(X1,esk4_3(X2,relation_dom(X2),X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
in(esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),relation_dom(relation_composition(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( in(ordered_pair(X1,esk7_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( in(ordered_pair(esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),esk4_3(relation_composition(esk1_0,esk2_0),relation_dom(relation_composition(esk1_0,esk2_0)),esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)))),relation_composition(esk1_0,esk2_0))
| ~ relation(relation_composition(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( in(ordered_pair(X1,esk7_5(X2,X3,relation_composition(X2,X3),X1,X4)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
in(ordered_pair(esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),esk4_3(relation_composition(esk1_0,esk2_0),relation_dom(relation_composition(esk1_0,esk2_0)),esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)))),relation_composition(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X3),X2) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
in(ordered_pair(esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),esk7_5(esk1_0,esk2_0,relation_composition(esk1_0,esk2_0),esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),esk4_3(relation_composition(esk1_0,esk2_0),relation_dom(relation_composition(esk1_0,esk2_0)),esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0))))),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]),c_0_20])]) ).
cnf(c_0_26,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
in(esk3_2(relation_dom(relation_composition(esk1_0,esk2_0)),relation_dom(esk1_0)),relation_dom(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU182+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.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 08:18:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.XfLJ2HPR8A/E---3.1_32637.p
% 2.92/0.84 # Version: 3.1pre001
% 2.92/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.92/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.92/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.92/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.92/0.84 # Starting sh5l with 300s (1) cores
% 2.92/0.84 # sh5l with pid 32718 completed with status 0
% 2.92/0.84 # Result found by sh5l
% 2.92/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.92/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.92/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.92/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.92/0.84 # Starting sh5l with 300s (1) cores
% 2.92/0.84 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.92/0.84 # Search class: FGHSM-FFMS32-SFFFFFNN
% 2.92/0.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.92/0.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 2.92/0.84 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 32724 completed with status 0
% 2.92/0.84 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 2.92/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.92/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.92/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.92/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.92/0.84 # Starting sh5l with 300s (1) cores
% 2.92/0.84 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.92/0.84 # Search class: FGHSM-FFMS32-SFFFFFNN
% 2.92/0.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.92/0.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 2.92/0.84 # Preprocessing time : 0.002 s
% 2.92/0.84 # Presaturation interreduction done
% 2.92/0.84
% 2.92/0.84 # Proof found!
% 2.92/0.84 # SZS status Theorem
% 2.92/0.84 # SZS output start CNFRefutation
% See solution above
% 2.92/0.84 # Parsed axioms : 35
% 2.92/0.84 # Removed by relevancy pruning/SinE : 9
% 2.92/0.84 # Initial clauses : 42
% 2.92/0.84 # Removed in clause preprocessing : 0
% 2.92/0.84 # Initial clauses in saturation : 42
% 2.92/0.84 # Processed clauses : 3733
% 2.92/0.84 # ...of these trivial : 160
% 2.92/0.84 # ...subsumed : 1251
% 2.92/0.84 # ...remaining for further processing : 2322
% 2.92/0.84 # Other redundant clauses eliminated : 5
% 2.92/0.84 # Clauses deleted for lack of memory : 0
% 2.92/0.84 # Backward-subsumed : 20
% 2.92/0.84 # Backward-rewritten : 11
% 2.92/0.84 # Generated clauses : 14148
% 2.92/0.84 # ...of the previous two non-redundant : 10465
% 2.92/0.84 # ...aggressively subsumed : 0
% 2.92/0.84 # Contextual simplify-reflections : 4
% 2.92/0.84 # Paramodulations : 14131
% 2.92/0.84 # Factorizations : 12
% 2.92/0.84 # NegExts : 0
% 2.92/0.84 # Equation resolutions : 5
% 2.92/0.84 # Total rewrite steps : 9906
% 2.92/0.84 # Propositional unsat checks : 0
% 2.92/0.84 # Propositional check models : 0
% 2.92/0.84 # Propositional check unsatisfiable : 0
% 2.92/0.84 # Propositional clauses : 0
% 2.92/0.84 # Propositional clauses after purity: 0
% 2.92/0.84 # Propositional unsat core size : 0
% 2.92/0.84 # Propositional preprocessing time : 0.000
% 2.92/0.84 # Propositional encoding time : 0.000
% 2.92/0.84 # Propositional solver time : 0.000
% 2.92/0.84 # Success case prop preproc time : 0.000
% 2.92/0.84 # Success case prop encoding time : 0.000
% 2.92/0.84 # Success case prop solver time : 0.000
% 2.92/0.84 # Current number of processed clauses : 2244
% 2.92/0.84 # Positive orientable unit clauses : 675
% 2.92/0.84 # Positive unorientable unit clauses: 1
% 2.92/0.84 # Negative unit clauses : 90
% 2.92/0.84 # Non-unit-clauses : 1478
% 2.92/0.84 # Current number of unprocessed clauses: 6776
% 2.92/0.84 # ...number of literals in the above : 19698
% 2.92/0.84 # Current number of archived formulas : 0
% 2.92/0.84 # Current number of archived clauses : 73
% 2.92/0.84 # Clause-clause subsumption calls (NU) : 431856
% 2.92/0.84 # Rec. Clause-clause subsumption calls : 348414
% 2.92/0.84 # Non-unit clause-clause subsumptions : 403
% 2.92/0.84 # Unit Clause-clause subsumption calls : 95533
% 2.92/0.84 # Rewrite failures with RHS unbound : 0
% 2.92/0.84 # BW rewrite match attempts : 51822
% 2.92/0.84 # BW rewrite match successes : 22
% 2.92/0.84 # Condensation attempts : 0
% 2.92/0.84 # Condensation successes : 0
% 2.92/0.84 # Termbank termtop insertions : 243504
% 2.92/0.84
% 2.92/0.84 # -------------------------------------------------
% 2.92/0.84 # User time : 0.333 s
% 2.92/0.84 # System time : 0.009 s
% 2.92/0.84 # Total time : 0.342 s
% 2.92/0.84 # Maximum resident set size: 1852 pages
% 2.92/0.84
% 2.92/0.84 # -------------------------------------------------
% 2.92/0.84 # User time : 0.334 s
% 2.92/0.84 # System time : 0.011 s
% 2.92/0.84 # Total time : 0.345 s
% 2.92/0.84 # Maximum resident set size: 1700 pages
% 2.92/0.84 % E---3.1 exiting
%------------------------------------------------------------------------------