TSTP Solution File: SET763+4 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET763+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 19:23:33 EDT 2023
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 149 ( 4 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 176 ( 63 ~; 69 |; 34 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 84 ( 6 sgn; 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa13,conjecture,
! [X6,X1,X2,X3] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& equal_set(image2(X6,X3),empty_set) )
=> equal_set(X3,empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',thIIa13) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',equal_set) ).
fof(empty_set,axiom,
! [X3] : ~ member(X3,empty_set),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',empty_set) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',subset) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',image2) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.tJci4HTtUW/E---3.1_30310.p',maps) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X1,X2,X3] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& equal_set(image2(X6,X3),empty_set) )
=> equal_set(X3,empty_set) ),
inference(assume_negation,[status(cth)],[thIIa13]) ).
fof(c_0_7,plain,
! [X21,X22] :
( ( subset(X21,X22)
| ~ equal_set(X21,X22) )
& ( subset(X22,X21)
| ~ equal_set(X21,X22) )
& ( ~ subset(X21,X22)
| ~ subset(X22,X21)
| equal_set(X21,X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).
fof(c_0_8,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& subset(esk4_0,esk2_0)
& equal_set(image2(esk1_0,esk4_0),empty_set)
& ~ equal_set(esk4_0,empty_set) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X3] : ~ member(X3,empty_set),
inference(fof_simplification,[status(thm)],[empty_set]) ).
fof(c_0_10,plain,
! [X32,X33,X34,X35,X36] :
( ( ~ subset(X32,X33)
| ~ member(X34,X32)
| member(X34,X33) )
& ( member(esk6_2(X35,X36),X35)
| subset(X35,X36) )
& ( ~ member(esk6_2(X35,X36),X36)
| subset(X35,X36) ) ),
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)],[subset])])])])])]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
equal_set(image2(esk1_0,esk4_0),empty_set),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X23] : ~ member(X23,empty_set),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X24,X25,X26,X28,X29,X30,X31] :
( ( member(esk5_3(X24,X25,X26),X25)
| ~ member(X26,image2(X24,X25)) )
& ( apply(X24,esk5_3(X24,X25,X26),X26)
| ~ member(X26,image2(X24,X25)) )
& ( ~ member(X31,X29)
| ~ apply(X28,X31,X30)
| member(X30,image2(X28,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)],[image2])])])])])]) ).
fof(c_0_15,plain,
! [X38,X39,X40,X41,X43,X44,X45,X46,X47,X48,X50] :
( ( member(esk7_4(X38,X39,X40,X41),X40)
| ~ member(X41,X39)
| ~ maps(X38,X39,X40) )
& ( apply(X38,X41,esk7_4(X38,X39,X40,X41))
| ~ member(X41,X39)
| ~ maps(X38,X39,X40) )
& ( ~ member(X43,X39)
| ~ member(X44,X40)
| ~ member(X45,X40)
| ~ apply(X38,X43,X44)
| ~ apply(X38,X43,X45)
| X44 = X45
| ~ maps(X38,X39,X40) )
& ( member(esk9_3(X46,X47,X48),X47)
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( member(esk10_3(X46,X47,X48),X48)
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( member(esk11_3(X46,X47,X48),X48)
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( apply(X46,esk9_3(X46,X47,X48),esk10_3(X46,X47,X48))
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( apply(X46,esk9_3(X46,X47,X48),esk11_3(X46,X47,X48))
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( esk10_3(X46,X47,X48) != esk11_3(X46,X47,X48)
| member(esk8_3(X46,X47,X48),X47)
| maps(X46,X47,X48) )
& ( member(esk9_3(X46,X47,X48),X47)
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) )
& ( member(esk10_3(X46,X47,X48),X48)
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) )
& ( member(esk11_3(X46,X47,X48),X48)
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) )
& ( apply(X46,esk9_3(X46,X47,X48),esk10_3(X46,X47,X48))
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) )
& ( apply(X46,esk9_3(X46,X47,X48),esk11_3(X46,X47,X48))
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) )
& ( esk10_3(X46,X47,X48) != esk11_3(X46,X47,X48)
| ~ member(X50,X48)
| ~ apply(X46,esk8_3(X46,X47,X48),X50)
| maps(X46,X47,X48) ) ),
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)],[maps])])])])])]) ).
cnf(c_0_16,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
subset(image2(esk1_0,esk4_0),empty_set),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
~ member(X1,empty_set),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( member(X4,image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( apply(X1,X2,esk7_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
~ member(X1,image2(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
( member(esk7_4(X1,X2,X3,X4),image2(X1,X5))
| ~ maps(X1,X2,X3)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
subset(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
~ equal_set(esk4_0,empty_set),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
( member(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( ~ maps(esk1_0,X1,X2)
| ~ member(X3,esk4_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
maps(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( ~ subset(empty_set,esk4_0)
| ~ subset(esk4_0,empty_set) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
~ member(X1,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,negated_conjecture,
~ subset(esk4_0,empty_set),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
subset(esk4_0,X1),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET763+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 16:44:01 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 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.tJci4HTtUW/E---3.1_30310.p
% 0.18/0.46 # Version: 3.1pre001
% 0.18/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46 # Starting sh5l with 300s (1) cores
% 0.18/0.46 # new_bool_3 with pid 30388 completed with status 0
% 0.18/0.46 # Result found by new_bool_3
% 0.18/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.18/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.18/0.46 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 30391 completed with status 0
% 0.18/0.46 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.18/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.18/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.18/0.46 # Preprocessing time : 0.001 s
% 0.18/0.46 # Presaturation interreduction done
% 0.18/0.46
% 0.18/0.46 # Proof found!
% 0.18/0.46 # SZS status Theorem
% 0.18/0.46 # SZS output start CNFRefutation
% See solution above
% 0.18/0.46 # Parsed axioms : 29
% 0.18/0.46 # Removed by relevancy pruning/SinE : 23
% 0.18/0.46 # Initial clauses : 29
% 0.18/0.46 # Removed in clause preprocessing : 0
% 0.18/0.46 # Initial clauses in saturation : 29
% 0.18/0.46 # Processed clauses : 507
% 0.18/0.46 # ...of these trivial : 14
% 0.18/0.46 # ...subsumed : 324
% 0.18/0.46 # ...remaining for further processing : 169
% 0.18/0.46 # Other redundant clauses eliminated : 0
% 0.18/0.46 # Clauses deleted for lack of memory : 0
% 0.18/0.46 # Backward-subsumed : 4
% 0.18/0.46 # Backward-rewritten : 11
% 0.18/0.46 # Generated clauses : 883
% 0.18/0.46 # ...of the previous two non-redundant : 647
% 0.18/0.46 # ...aggressively subsumed : 0
% 0.18/0.46 # Contextual simplify-reflections : 1
% 0.18/0.46 # Paramodulations : 883
% 0.18/0.46 # Factorizations : 0
% 0.18/0.46 # NegExts : 0
% 0.18/0.46 # Equation resolutions : 0
% 0.18/0.46 # Total rewrite steps : 256
% 0.18/0.46 # Propositional unsat checks : 0
% 0.18/0.46 # Propositional check models : 0
% 0.18/0.46 # Propositional check unsatisfiable : 0
% 0.18/0.46 # Propositional clauses : 0
% 0.18/0.46 # Propositional clauses after purity: 0
% 0.18/0.46 # Propositional unsat core size : 0
% 0.18/0.46 # Propositional preprocessing time : 0.000
% 0.18/0.46 # Propositional encoding time : 0.000
% 0.18/0.46 # Propositional solver time : 0.000
% 0.18/0.46 # Success case prop preproc time : 0.000
% 0.18/0.46 # Success case prop encoding time : 0.000
% 0.18/0.46 # Success case prop solver time : 0.000
% 0.18/0.46 # Current number of processed clauses : 125
% 0.18/0.46 # Positive orientable unit clauses : 38
% 0.18/0.46 # Positive unorientable unit clauses: 0
% 0.18/0.46 # Negative unit clauses : 23
% 0.18/0.46 # Non-unit-clauses : 64
% 0.18/0.46 # Current number of unprocessed clauses: 195
% 0.18/0.46 # ...number of literals in the above : 330
% 0.18/0.46 # Current number of archived formulas : 0
% 0.18/0.46 # Current number of archived clauses : 44
% 0.18/0.46 # Clause-clause subsumption calls (NU) : 373
% 0.18/0.46 # Rec. Clause-clause subsumption calls : 348
% 0.18/0.46 # Non-unit clause-clause subsumptions : 7
% 0.18/0.46 # Unit Clause-clause subsumption calls : 77
% 0.18/0.46 # Rewrite failures with RHS unbound : 0
% 0.18/0.46 # BW rewrite match attempts : 230
% 0.18/0.46 # BW rewrite match successes : 11
% 0.18/0.46 # Condensation attempts : 0
% 0.18/0.46 # Condensation successes : 0
% 0.18/0.46 # Termbank termtop insertions : 13498
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.018 s
% 0.18/0.46 # System time : 0.002 s
% 0.18/0.46 # Total time : 0.020 s
% 0.18/0.46 # Maximum resident set size: 1904 pages
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.018 s
% 0.18/0.46 # System time : 0.005 s
% 0.18/0.46 # Total time : 0.023 s
% 0.18/0.46 # Maximum resident set size: 1740 pages
% 0.18/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------