TSTP Solution File: SWV394+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV394+1 : TPTP v8.2.0. Released v3.3.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:23:05 EDT 2024
% Result : Theorem 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 119 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 48 ~; 45 |; 16 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 121 ( 14 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(l30_co,conjecture,
! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> ! [X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_co) ).
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/sandbox2/benchmark/Axioms/SWV007+3.ax',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/sandbox2/benchmark/Axioms/SWV007+3.ax',ax45) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(l30_li4142,lemma,
! [X1,X2,X3] :
( check_cpq(triple(X1,X2,X3))
<=> ! [X4,X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_li4142) ).
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/sandbox2/benchmark/Axioms/SWV007+3.ax',ax44) ).
fof(l30_li3132,lemma,
! [X1,X2,X3,X4,X5] :
( ( pair_in_list(X2,X4,X5)
& strictly_less_than(X4,X5)
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> pair_in_list(remove_slb(X2,X4),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_li3132) ).
fof(c_0_9,plain,
! [X54,X55] :
( ( ~ ok(triple(X54,X55,bad))
| ~ $true )
& ( $true
| ok(triple(X54,X55,bad)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> ! [X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
inference(assume_negation,[status(cth)],[l30_co]) ).
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]) ).
cnf(c_0_12,plain,
( ~ ok(triple(X1,X2,bad))
| $false ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X70,X71,X72,X73] :
( ~ contains_slb(X71,X73)
| ~ strictly_less_than(X73,lookup_slb(X71,X73))
| remove_cpq(triple(X70,X71,X72),X73) = triple(remove_pqp(X70,X73),remove_slb(X71,X73),bad) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])])]) ).
fof(c_0_14,negated_conjecture,
( check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
& ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
& pair_in_list(esk2_0,esk4_0,esk5_0)
& ~ less_than(esk5_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_15,plain,
! [X62,X63,X64,X65] :
( contains_slb(X63,X65)
| remove_cpq(triple(X62,X63,X64),X65) = triple(X62,X63,bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_16,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[stricly_smaller_definition]) ).
cnf(c_0_17,plain,
~ ok(triple(X1,X2,bad)),
inference(cn,[status(thm)],[c_0_12]) ).
cnf(c_0_18,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_13]) ).
cnf(c_0_19,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( contains_slb(X1,X2)
| remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X17,X18] :
( ( less_than(X17,X18)
| ~ strictly_less_than(X17,X18) )
& ( ~ less_than(X18,X17)
| ~ strictly_less_than(X17,X18) )
& ( ~ less_than(X17,X18)
| less_than(X18,X17)
| strictly_less_than(X17,X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_22,plain,
! [X14,X15] :
( less_than(X14,X15)
| less_than(X15,X14) ),
inference(variable_rename,[status(thm)],[totality]) ).
fof(c_0_23,lemma,
! [X32,X33,X34,X35,X36,X37,X38,X41] :
( ( ~ check_cpq(triple(X32,X33,X34))
| ~ pair_in_list(X33,X35,X36)
| less_than(X36,X35) )
& ( pair_in_list(X38,esk6_2(X37,X38),esk7_2(X37,X38))
| check_cpq(triple(X37,X38,X41)) )
& ( ~ less_than(esk7_2(X37,X38),esk6_2(X37,X38))
| check_cpq(triple(X37,X38,X41)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[l30_li4142])])])])])])]) ).
fof(c_0_24,plain,
! [X66,X67,X68,X69] :
( ~ contains_slb(X67,X69)
| ~ less_than(lookup_slb(X67,X69),X69)
| remove_cpq(triple(X66,X67,X68),X69) = triple(remove_pqp(X66,X69),remove_slb(X67,X69),X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])]) ).
cnf(c_0_25,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_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
contains_slb(esk2_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).
cnf(c_0_27,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,lemma,
( less_than(X5,X4)
| ~ check_cpq(triple(X1,X2,X3))
| ~ pair_in_list(X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,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_24]) ).
cnf(c_0_31,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_25,c_0_19]),c_0_26])]) ).
cnf(c_0_32,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,lemma,
! [X49,X50,X51,X52,X53] :
( ~ pair_in_list(X50,X52,X53)
| ~ strictly_less_than(X52,X53)
| ~ ok(remove_cpq(triple(X49,X50,X51),X52))
| pair_in_list(remove_slb(X50,X52),X52,X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l30_li3132])])]) ).
cnf(c_0_34,lemma,
( less_than(X1,X2)
| ~ check_cpq(remove_cpq(triple(X3,X4,X5),X6))
| ~ pair_in_list(remove_slb(X4,X6),X2,X1)
| ~ contains_slb(X4,X6)
| ~ less_than(lookup_slb(X4,X6),X6) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,lemma,
( pair_in_list(remove_slb(X1,X2),X2,X3)
| ~ pair_in_list(X1,X2,X3)
| ~ strictly_less_than(X2,X3)
| ~ ok(remove_cpq(triple(X4,X1,X5),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( less_than(X1,X2)
| ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_26]),c_0_36])]) ).
cnf(c_0_39,negated_conjecture,
( pair_in_list(remove_slb(esk2_0,esk4_0),esk4_0,X1)
| ~ pair_in_list(esk2_0,esk4_0,X1)
| ~ strictly_less_than(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
( less_than(X1,esk4_0)
| ~ pair_in_list(esk2_0,esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32]) ).
cnf(c_0_41,negated_conjecture,
pair_in_list(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,negated_conjecture,
~ less_than(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV394+1 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 07:51:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 # Version: 3.1.0
% 0.17/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # sh5l with pid 11702 completed with status 0
% 0.17/0.49 # Result found by sh5l
% 0.17/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.49 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.17/0.49 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 11704 completed with status 0
% 0.17/0.49 # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.17/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.49 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.17/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.17/0.49 # Preprocessing time : 0.002 s
% 0.17/0.49
% 0.17/0.49 # Proof found!
% 0.17/0.49 # SZS status Theorem
% 0.17/0.49 # SZS output start CNFRefutation
% See solution above
% 0.17/0.49 # Parsed axioms : 44
% 0.17/0.49 # Removed by relevancy pruning/SinE : 3
% 0.17/0.49 # Initial clauses : 56
% 0.17/0.49 # Removed in clause preprocessing : 2
% 0.17/0.49 # Initial clauses in saturation : 54
% 0.17/0.49 # Processed clauses : 200
% 0.17/0.49 # ...of these trivial : 3
% 0.17/0.49 # ...subsumed : 67
% 0.17/0.49 # ...remaining for further processing : 130
% 0.17/0.49 # Other redundant clauses eliminated : 3
% 0.17/0.49 # Clauses deleted for lack of memory : 0
% 0.17/0.49 # Backward-subsumed : 2
% 0.17/0.49 # Backward-rewritten : 0
% 0.17/0.49 # Generated clauses : 835
% 0.17/0.49 # ...of the previous two non-redundant : 702
% 0.17/0.49 # ...aggressively subsumed : 0
% 0.17/0.49 # Contextual simplify-reflections : 3
% 0.17/0.49 # Paramodulations : 811
% 0.17/0.49 # Factorizations : 22
% 0.17/0.49 # NegExts : 0
% 0.17/0.49 # Equation resolutions : 3
% 0.17/0.49 # Disequality decompositions : 0
% 0.17/0.49 # Total rewrite steps : 158
% 0.17/0.49 # ...of those cached : 117
% 0.17/0.49 # Propositional unsat checks : 0
% 0.17/0.49 # Propositional check models : 0
% 0.17/0.49 # Propositional check unsatisfiable : 0
% 0.17/0.49 # Propositional clauses : 0
% 0.17/0.49 # Propositional clauses after purity: 0
% 0.17/0.49 # Propositional unsat core size : 0
% 0.17/0.49 # Propositional preprocessing time : 0.000
% 0.17/0.49 # Propositional encoding time : 0.000
% 0.17/0.49 # Propositional solver time : 0.000
% 0.17/0.49 # Success case prop preproc time : 0.000
% 0.17/0.49 # Success case prop encoding time : 0.000
% 0.17/0.49 # Success case prop solver time : 0.000
% 0.17/0.49 # Current number of processed clauses : 126
% 0.17/0.49 # Positive orientable unit clauses : 25
% 0.17/0.49 # Positive unorientable unit clauses: 0
% 0.17/0.49 # Negative unit clauses : 9
% 0.17/0.49 # Non-unit-clauses : 92
% 0.17/0.49 # Current number of unprocessed clauses: 556
% 0.17/0.49 # ...number of literals in the above : 2337
% 0.17/0.49 # Current number of archived formulas : 0
% 0.17/0.49 # Current number of archived clauses : 2
% 0.17/0.49 # Clause-clause subsumption calls (NU) : 2444
% 0.17/0.49 # Rec. Clause-clause subsumption calls : 1604
% 0.17/0.49 # Non-unit clause-clause subsumptions : 64
% 0.17/0.49 # Unit Clause-clause subsumption calls : 43
% 0.17/0.49 # Rewrite failures with RHS unbound : 0
% 0.17/0.49 # BW rewrite match attempts : 7
% 0.17/0.49 # BW rewrite match successes : 0
% 0.17/0.49 # Condensation attempts : 0
% 0.17/0.49 # Condensation successes : 0
% 0.17/0.49 # Termbank termtop insertions : 15719
% 0.17/0.49 # Search garbage collected termcells : 742
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.024 s
% 0.17/0.49 # System time : 0.002 s
% 0.17/0.49 # Total time : 0.026 s
% 0.17/0.49 # Maximum resident set size: 1988 pages
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.026 s
% 0.17/0.49 # System time : 0.004 s
% 0.17/0.49 # Total time : 0.030 s
% 0.17/0.49 # Maximum resident set size: 1752 pages
% 0.17/0.49 % E---3.1 exiting
% 0.17/0.49 % E exiting
%------------------------------------------------------------------------------