TSTP Solution File: SET653+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 19:23:16 EDT 2023
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 105 ( 39 ~; 36 |; 8 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 3 sgn; 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(domain_of(X4),X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7xsywQeO2J/E---3.1_23085.p',p3) ).
fof(p22,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/tmp.7xsywQeO2J/E---3.1_23085.p',p22) ).
fof(prove_relset_1_15,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7xsywQeO2J/E---3.1_23085.p',prove_relset_1_15) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7xsywQeO2J/E---3.1_23085.p',p1) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7xsywQeO2J/E---3.1_23085.p',p2) ).
fof(c_0_5,plain,
! [X27,X28,X29,X30] :
( ~ ilf_type(X27,set_type)
| ~ ilf_type(X28,set_type)
| ~ ilf_type(X29,set_type)
| ~ ilf_type(X30,relation_type(X27,X29))
| ~ subset(domain_of(X30),X28)
| ilf_type(X30,relation_type(X28,X29)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])]) ).
fof(c_0_6,plain,
! [X23] : ilf_type(X23,set_type),
inference(variable_rename,[status(thm)],[p22]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_15]) ).
fof(c_0_8,plain,
! [X9,X10,X11] :
( ~ ilf_type(X9,set_type)
| ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| ~ subset(X9,X10)
| ~ subset(X10,X11)
| subset(X9,X11) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
fof(c_0_9,plain,
! [X24,X25,X26] :
( ( subset(domain_of(X26),X24)
| ~ ilf_type(X26,relation_type(X24,X25))
| ~ ilf_type(X25,set_type)
| ~ ilf_type(X24,set_type) )
& ( subset(range_of(X26),X25)
| ~ ilf_type(X26,relation_type(X24,X25))
| ~ ilf_type(X25,set_type)
| ~ ilf_type(X24,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).
cnf(c_0_10,plain,
( ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X1,X3))
| ~ subset(domain_of(X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,set_type)
& ilf_type(esk4_0,relation_type(esk1_0,esk3_0))
& subset(esk1_0,esk2_0)
& ~ ilf_type(esk4_0,relation_type(esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_13,plain,
( subset(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( subset(domain_of(X1),X2)
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ subset(domain_of(X1),X2)
| ~ ilf_type(X1,relation_type(X4,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).
cnf(c_0_16,negated_conjecture,
ilf_type(esk4_0,relation_type(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11]),c_0_11]),c_0_11])]) ).
cnf(c_0_18,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( subset(domain_of(X1),X2)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
( ilf_type(esk4_0,relation_type(X1,esk3_0))
| ~ subset(domain_of(esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( subset(X1,esk2_0)
| ~ subset(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
subset(domain_of(esk4_0),esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ ilf_type(esk4_0,relation_type(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 17:53:45 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.45 Running first-order model finding
% 0.18/0.45 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.7xsywQeO2J/E---3.1_23085.p
% 0.18/0.47 # Version: 3.1pre001
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # sh5l with pid 23165 completed with status 0
% 0.18/0.47 # Result found by sh5l
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.18/0.47 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 23169 completed with status 0
% 0.18/0.47 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.18/0.47 # Preprocessing time : 0.002 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 23
% 0.18/0.47 # Removed by relevancy pruning/SinE : 0
% 0.18/0.47 # Initial clauses : 46
% 0.18/0.47 # Removed in clause preprocessing : 0
% 0.18/0.47 # Initial clauses in saturation : 46
% 0.18/0.47 # Processed clauses : 105
% 0.18/0.47 # ...of these trivial : 11
% 0.18/0.47 # ...subsumed : 5
% 0.18/0.47 # ...remaining for further processing : 89
% 0.18/0.47 # Other redundant clauses eliminated : 1
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 0
% 0.18/0.47 # Backward-rewritten : 3
% 0.18/0.47 # Generated clauses : 92
% 0.18/0.47 # ...of the previous two non-redundant : 75
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 1
% 0.18/0.47 # Paramodulations : 91
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 1
% 0.18/0.47 # Total rewrite steps : 86
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 54
% 0.18/0.47 # Positive orientable unit clauses : 14
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 4
% 0.18/0.47 # Non-unit-clauses : 36
% 0.18/0.47 # Current number of unprocessed clauses: 48
% 0.18/0.47 # ...number of literals in the above : 100
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 35
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 140
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 125
% 0.18/0.47 # Non-unit clause-clause subsumptions : 4
% 0.18/0.47 # Unit Clause-clause subsumption calls : 8
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 7
% 0.18/0.47 # BW rewrite match successes : 3
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 4757
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.008 s
% 0.18/0.47 # System time : 0.003 s
% 0.18/0.47 # Total time : 0.011 s
% 0.18/0.47 # Maximum resident set size: 1836 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.008 s
% 0.18/0.47 # System time : 0.005 s
% 0.18/0.47 # Total time : 0.013 s
% 0.18/0.47 # Maximum resident set size: 1704 pages
% 0.18/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------