TSTP Solution File: SWV378+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV378+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 19:44:29 EDT 2023
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 83 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 82 ( 38 ~; 26 |; 7 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 91 ( 9 sgn; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l14_co,conjecture,
! [X1,X2,X3,X4] :
( ~ ok(triple(X1,X2,X3))
=> ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',l14_co) ).
fof(ax41,axiom,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',ax41) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',ax40) ).
fof(ax43,axiom,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',ax43) ).
fof(ax45,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& strictly_less_than(X4,lookup_slb(X2,X4)) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',ax45) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',stricly_smaller_definition) ).
fof(ax44,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& less_than(lookup_slb(X2,X4),X4) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',ax44) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Vwx40pakFA/E---3.1_29495.p',totality) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ~ ok(triple(X1,X2,X3))
=> ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l14_co])]) ).
fof(c_0_9,plain,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
inference(fof_simplification,[status(thm)],[ax41]) ).
fof(c_0_10,plain,
! [X1,X2] : ~ ok(triple(X1,X2,bad)),
inference(fof_simplification,[status(thm)],[ax40]) ).
fof(c_0_11,plain,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
inference(fof_simplification,[status(thm)],[ax43]) ).
fof(c_0_12,negated_conjecture,
( ~ ok(triple(esk1_0,esk2_0,esk3_0))
& ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X82,X83,X84] :
( ok(triple(X82,X83,X84))
| X84 = bad ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_14,plain,
! [X80,X81] : ~ ok(triple(X80,X81,bad)),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X97,X98,X99,X100] :
( ~ contains_slb(X98,X100)
| ~ strictly_less_than(X100,lookup_slb(X98,X100))
| remove_cpq(triple(X97,X98,X99),X100) = triple(remove_pqp(X97,X100),remove_slb(X98,X100),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(c_0_16,plain,
! [X89,X90,X91,X92] :
( contains_slb(X90,X92)
| remove_cpq(triple(X89,X90,X91),X92) = triple(X89,X90,bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_17,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[stricly_smaller_definition]) ).
fof(c_0_18,plain,
! [X93,X94,X95,X96] :
( ~ contains_slb(X94,X96)
| ~ less_than(lookup_slb(X94,X96),X96)
| remove_cpq(triple(X93,X94,X95),X96) = triple(remove_pqp(X93,X96),remove_slb(X94,X96),X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])]) ).
cnf(c_0_19,negated_conjecture,
~ ok(triple(esk1_0,esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ok(triple(X1,X2,X3))
| X3 = bad ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),bad)
| ~ contains_slb(X1,X2)
| ~ strictly_less_than(X2,lookup_slb(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( contains_slb(X1,X2)
| remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,plain,
! [X12,X13] :
( ( less_than(X12,X13)
| ~ strictly_less_than(X12,X13) )
& ( ~ less_than(X13,X12)
| ~ strictly_less_than(X12,X13) )
& ( ~ less_than(X12,X13)
| less_than(X13,X12)
| strictly_less_than(X12,X13) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_26,plain,
! [X9,X10] :
( less_than(X9,X10)
| less_than(X10,X9) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_27,plain,
( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),X4)
| ~ contains_slb(X1,X2)
| ~ less_than(lookup_slb(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
esk3_0 = bad,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
( ~ ok(remove_cpq(triple(X1,X2,X3),X4))
| ~ contains_slb(X2,X4)
| ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
contains_slb(esk2_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).
cnf(c_0_31,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( ~ ok(remove_cpq(triple(X1,X2,bad),X3))
| ~ contains_slb(X2,X3)
| ~ less_than(lookup_slb(X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
~ strictly_less_than(esk4_0,lookup_slb(esk2_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_30])]) ).
cnf(c_0_36,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
~ less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV378+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.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 : Tue Oct 3 04:04:49 EDT 2023
% 0.13/0.35 % 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.Vwx40pakFA/E---3.1_29495.p
% 0.20/0.50 # Version: 3.1pre001
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29573 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.50 # Starting sh5l with 136s (1) cores
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29581 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Theorem
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 42
% 0.20/0.50 # Removed by relevancy pruning/SinE : 0
% 0.20/0.50 # Initial clauses : 52
% 0.20/0.50 # Removed in clause preprocessing : 2
% 0.20/0.50 # Initial clauses in saturation : 50
% 0.20/0.50 # Processed clauses : 131
% 0.20/0.50 # ...of these trivial : 2
% 0.20/0.50 # ...subsumed : 6
% 0.20/0.50 # ...remaining for further processing : 123
% 0.20/0.50 # Other redundant clauses eliminated : 3
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 0
% 0.20/0.50 # Generated clauses : 151
% 0.20/0.50 # ...of the previous two non-redundant : 131
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 2
% 0.20/0.50 # Paramodulations : 147
% 0.20/0.50 # Factorizations : 2
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 3
% 0.20/0.50 # Total rewrite steps : 26
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 71
% 0.20/0.50 # Positive orientable unit clauses : 20
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 10
% 0.20/0.50 # Non-unit-clauses : 41
% 0.20/0.50 # Current number of unprocessed clauses: 100
% 0.20/0.50 # ...number of literals in the above : 322
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 52
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 206
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 155
% 0.20/0.50 # Non-unit clause-clause subsumptions : 7
% 0.20/0.50 # Unit Clause-clause subsumption calls : 20
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 8
% 0.20/0.50 # BW rewrite match successes : 0
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 5505
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.010 s
% 0.20/0.50 # System time : 0.004 s
% 0.20/0.50 # Total time : 0.014 s
% 0.20/0.50 # Maximum resident set size: 1928 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.042 s
% 0.20/0.50 # System time : 0.013 s
% 0.20/0.50 # Total time : 0.054 s
% 0.20/0.50 # Maximum resident set size: 1724 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------