TSTP Solution File: SET677+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 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 19:23:20 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 96 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 48 ~; 44 |; 10 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 1 sgn; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ME4vOOUPgu/E---3.1_28171.p',p2) ).
fof(p34,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/tmp.ME4vOOUPgu/E---3.1_28171.p',p34) ).
fof(p5,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,identity_relation_of_type(X1))
<=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ME4vOOUPgu/E---3.1_28171.p',p5) ).
fof(prove_relset_1_44,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X1,X2)
& X1 = range(X1,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ME4vOOUPgu/E---3.1_28171.p',prove_relset_1_44) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( X2 = domain(X2,X1,X3)
& subset(X2,range(X2,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ME4vOOUPgu/E---3.1_28171.p',p1) ).
fof(c_0_5,plain,
! [X10,X11,X12] :
( ( subset(X11,domain(X10,X11,X12))
| ~ subset(identity_relation_of(X11),X12)
| ~ ilf_type(X12,relation_type(X10,X11))
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X10,set_type) )
& ( X11 = range(X10,X11,X12)
| ~ subset(identity_relation_of(X11),X12)
| ~ ilf_type(X12,relation_type(X10,X11))
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X10,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).
fof(c_0_6,plain,
! [X31] : ilf_type(X31,set_type),
inference(variable_rename,[status(thm)],[p34]) ).
fof(c_0_7,plain,
! [X32,X33] :
( ( ~ ilf_type(X33,identity_relation_of_type(X32))
| ilf_type(X33,relation_type(X32,X32))
| ~ ilf_type(X33,set_type)
| ~ ilf_type(X32,set_type) )
& ( ~ ilf_type(X33,relation_type(X32,X32))
| ilf_type(X33,identity_relation_of_type(X32))
| ~ ilf_type(X33,set_type)
| ~ ilf_type(X32,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X1,X2)
& X1 = range(X1,X1,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_44]) ).
cnf(c_0_9,plain,
( X1 = range(X2,X1,X3)
| ~ subset(identity_relation_of(X1),X3)
| ~ ilf_type(X3,relation_type(X2,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X7,X8,X9] :
( ( X8 = domain(X8,X7,X9)
| ~ subset(identity_relation_of(X8),X9)
| ~ ilf_type(X9,relation_type(X8,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) )
& ( subset(X8,range(X8,X7,X9))
| ~ subset(identity_relation_of(X8),X9)
| ~ ilf_type(X9,relation_type(X8,X7))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])]) ).
fof(c_0_13,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,identity_relation_of_type(esk1_0))
& subset(identity_relation_of(esk1_0),esk2_0)
& ( esk1_0 != domain(esk1_0,esk1_0,esk2_0)
| esk1_0 != range(esk1_0,esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_14,plain,
( range(X1,X2,X3) = X2
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]) ).
cnf(c_0_15,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10])]) ).
cnf(c_0_16,plain,
( X1 = domain(X1,X2,X3)
| ~ subset(identity_relation_of(X1),X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( esk1_0 != domain(esk1_0,esk1_0,esk2_0)
| esk1_0 != range(esk1_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( range(X1,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,identity_relation_of_type(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
subset(identity_relation_of(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
ilf_type(esk2_0,identity_relation_of_type(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( domain(X1,X2,X3) = X1
| ~ subset(identity_relation_of(X1),X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_10])]) ).
cnf(c_0_22,negated_conjecture,
domain(esk1_0,esk1_0,esk2_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_23,plain,
( domain(X1,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,identity_relation_of_type(X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
$false,
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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.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 16:36:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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.ME4vOOUPgu/E---3.1_28171.p
% 0.21/0.52 # Version: 3.1pre001
% 0.21/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52 # Starting sh5l with 300s (1) cores
% 0.21/0.52 # new_bool_3 with pid 28297 completed with status 0
% 0.21/0.52 # Result found by new_bool_3
% 0.21/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52 # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 164s (1) cores
% 0.21/0.52 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 28304 completed with status 0
% 0.21/0.52 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.21/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52 # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 164s (1) cores
% 0.21/0.52 # Preprocessing time : 0.002 s
% 0.21/0.52
% 0.21/0.52 # Proof found!
% 0.21/0.52 # SZS status Theorem
% 0.21/0.52 # SZS output start CNFRefutation
% See solution above
% 0.21/0.52 # Parsed axioms : 35
% 0.21/0.52 # Removed by relevancy pruning/SinE : 11
% 0.21/0.52 # Initial clauses : 50
% 0.21/0.52 # Removed in clause preprocessing : 1
% 0.21/0.52 # Initial clauses in saturation : 49
% 0.21/0.52 # Processed clauses : 107
% 0.21/0.52 # ...of these trivial : 9
% 0.21/0.52 # ...subsumed : 18
% 0.21/0.52 # ...remaining for further processing : 80
% 0.21/0.52 # Other redundant clauses eliminated : 4
% 0.21/0.52 # Clauses deleted for lack of memory : 0
% 0.21/0.52 # Backward-subsumed : 1
% 0.21/0.52 # Backward-rewritten : 1
% 0.21/0.52 # Generated clauses : 94
% 0.21/0.52 # ...of the previous two non-redundant : 76
% 0.21/0.52 # ...aggressively subsumed : 0
% 0.21/0.52 # Contextual simplify-reflections : 0
% 0.21/0.52 # Paramodulations : 90
% 0.21/0.52 # Factorizations : 0
% 0.21/0.52 # NegExts : 0
% 0.21/0.52 # Equation resolutions : 4
% 0.21/0.52 # Total rewrite steps : 104
% 0.21/0.52 # Propositional unsat checks : 0
% 0.21/0.52 # Propositional check models : 0
% 0.21/0.52 # Propositional check unsatisfiable : 0
% 0.21/0.52 # Propositional clauses : 0
% 0.21/0.52 # Propositional clauses after purity: 0
% 0.21/0.52 # Propositional unsat core size : 0
% 0.21/0.52 # Propositional preprocessing time : 0.000
% 0.21/0.52 # Propositional encoding time : 0.000
% 0.21/0.52 # Propositional solver time : 0.000
% 0.21/0.52 # Success case prop preproc time : 0.000
% 0.21/0.52 # Success case prop encoding time : 0.000
% 0.21/0.52 # Success case prop solver time : 0.000
% 0.21/0.52 # Current number of processed clauses : 75
% 0.21/0.52 # Positive orientable unit clauses : 13
% 0.21/0.52 # Positive unorientable unit clauses: 0
% 0.21/0.52 # Negative unit clauses : 1
% 0.21/0.52 # Non-unit-clauses : 61
% 0.21/0.52 # Current number of unprocessed clauses: 18
% 0.21/0.52 # ...number of literals in the above : 63
% 0.21/0.52 # Current number of archived formulas : 0
% 0.21/0.52 # Current number of archived clauses : 2
% 0.21/0.52 # Clause-clause subsumption calls (NU) : 372
% 0.21/0.52 # Rec. Clause-clause subsumption calls : 277
% 0.21/0.52 # Non-unit clause-clause subsumptions : 18
% 0.21/0.52 # Unit Clause-clause subsumption calls : 20
% 0.21/0.52 # Rewrite failures with RHS unbound : 0
% 0.21/0.52 # BW rewrite match attempts : 2
% 0.21/0.52 # BW rewrite match successes : 1
% 0.21/0.52 # Condensation attempts : 0
% 0.21/0.52 # Condensation successes : 0
% 0.21/0.52 # Termbank termtop insertions : 5189
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.011 s
% 0.21/0.52 # System time : 0.004 s
% 0.21/0.52 # Total time : 0.014 s
% 0.21/0.52 # Maximum resident set size: 1948 pages
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.014 s
% 0.21/0.52 # System time : 0.005 s
% 0.21/0.52 # Total time : 0.019 s
% 0.21/0.52 # Maximum resident set size: 1720 pages
% 0.21/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------