TSTP Solution File: LCL486+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : LCL486+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : Mon Jun 24 10:45:08 EDT 2024
% Result : Theorem 6.29s 1.34s
% Output : CNFRefutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 21 unt; 0 def)
% Number of atoms : 74 ( 4 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 61 ( 25 ~; 23 |; 7 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(r4,axiom,
( r4
<=> ! [X4,X5,X6] : is_a_theorem(implies(or(X4,or(X5,X6)),or(X5,or(X4,X6)))) ),
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',r4) ).
fof(op_implies_or,axiom,
( op_implies_or
=> ! [X1,X2] : implies(X1,X2) = or(not(X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',op_implies_or) ).
fof(principia_r4,axiom,
r4,
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',principia_r4) ).
fof(principia_op_implies_or,axiom,
op_implies_or,
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',principia_op_implies_or) ).
fof(modus_ponens,axiom,
( modus_ponens
<=> ! [X1,X2] :
( ( is_a_theorem(X1)
& is_a_theorem(implies(X1,X2)) )
=> is_a_theorem(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',modus_ponens) ).
fof(r5,axiom,
( r5
<=> ! [X4,X5,X6] : is_a_theorem(implies(implies(X5,X6),implies(or(X4,X5),or(X4,X6)))) ),
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',r5) ).
fof(hilbert_implies_3,conjecture,
implies_3,
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',hilbert_implies_3) ).
fof(principia_modus_ponens,axiom,
modus_ponens,
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',principia_modus_ponens) ).
fof(principia_r5,axiom,
r5,
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',principia_r5) ).
fof(implies_3,axiom,
( implies_3
<=> ! [X1,X2,X3] : is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
file('/export/starexec/sandbox2/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p',implies_3) ).
fof(c_0_10,plain,
! [X105,X106,X107] :
( ( ~ r4
| is_a_theorem(implies(or(X105,or(X106,X107)),or(X106,or(X105,X107)))) )
& ( ~ is_a_theorem(implies(or(esk50_0,or(esk51_0,esk52_0)),or(esk51_0,or(esk50_0,esk52_0))))
| r4 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r4])])])])]) ).
fof(c_0_11,plain,
! [X123,X124] :
( ~ op_implies_or
| implies(X123,X124) = or(not(X123),X124) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])])]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))
| ~ r4 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
r4,
inference(split_conjunct,[status(thm)],[principia_r4]) ).
cnf(c_0_14,plain,
( implies(X1,X2) = or(not(X1),X2)
| ~ op_implies_or ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
op_implies_or,
inference(split_conjunct,[status(thm)],[principia_op_implies_or]) ).
fof(c_0_16,plain,
! [X7,X8] :
( ( ~ modus_ponens
| ~ is_a_theorem(X7)
| ~ is_a_theorem(implies(X7,X8))
| is_a_theorem(X8) )
& ( is_a_theorem(esk1_0)
| modus_ponens )
& ( is_a_theorem(implies(esk1_0,esk2_0))
| modus_ponens )
& ( ~ is_a_theorem(esk2_0)
| modus_ponens ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_ponens])])])])])]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_18,plain,
or(not(X1),X2) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
fof(c_0_19,plain,
! [X111,X112,X113] :
( ( ~ r5
| is_a_theorem(implies(implies(X112,X113),implies(or(X111,X112),or(X111,X113)))) )
& ( ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0))))
| r5 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r5])])])])]) ).
fof(c_0_20,negated_conjecture,
~ implies_3,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_implies_3])]) ).
cnf(c_0_21,plain,
( is_a_theorem(X2)
| ~ modus_ponens
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
modus_ponens,
inference(split_conjunct,[status(thm)],[principia_modus_ponens]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))
| ~ r5 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
r5,
inference(split_conjunct,[status(thm)],[principia_r5]) ).
fof(c_0_26,plain,
! [X27,X28,X29] :
( ( ~ implies_3
| is_a_theorem(implies(implies(X27,X28),implies(implies(X28,X29),implies(X27,X29)))) )
& ( ~ is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))
| implies_3 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_3])])])])]) ).
fof(c_0_27,negated_conjecture,
~ implies_3,
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_18]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_31,plain,
( implies_3
| ~ is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
~ implies_3,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_18]) ).
cnf(c_0_35,plain,
~ is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0)))),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL486+1 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jun 22 12:10:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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/tmp/tmp.QPvK1G1uLO/E---3.1_31461.p
% 6.29/1.34 # Version: 3.2.0
% 6.29/1.34 # Preprocessing class: FSMSSLSSSSSNFFN.
% 6.29/1.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.29/1.34 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 6.29/1.34 # Starting new_bool_3 with 300s (1) cores
% 6.29/1.34 # Starting new_bool_1 with 300s (1) cores
% 6.29/1.34 # Starting sh5l with 300s (1) cores
% 6.29/1.34 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 31558 completed with status 0
% 6.29/1.34 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 6.29/1.34 # Preprocessing class: FSMSSLSSSSSNFFN.
% 6.29/1.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.29/1.34 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 6.29/1.34 # No SInE strategy applied
% 6.29/1.34 # Search class: FGUSF-FFMM21-MFFFFFNN
% 6.29/1.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.29/1.34 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 6.29/1.34 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 6.29/1.34 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 6.29/1.34 # Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.29/1.34 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 151s (1) cores
% 6.29/1.34 # U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 31572 completed with status 0
% 6.29/1.34 # Result found by U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 6.29/1.34 # Preprocessing class: FSMSSLSSSSSNFFN.
% 6.29/1.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.29/1.34 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 6.29/1.34 # No SInE strategy applied
% 6.29/1.34 # Search class: FGUSF-FFMM21-MFFFFFNN
% 6.29/1.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.29/1.34 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 6.29/1.34 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 6.29/1.34 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 6.29/1.34 # Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.29/1.34 # Preprocessing time : 0.005 s
% 6.29/1.34 # Presaturation interreduction done
% 6.29/1.34
% 6.29/1.34 # Proof found!
% 6.29/1.34 # SZS status Theorem
% 6.29/1.34 # SZS output start CNFRefutation
% See solution above
% 6.29/1.34 # Parsed axioms : 45
% 6.29/1.34 # Removed by relevancy pruning/SinE : 0
% 6.29/1.34 # Initial clauses : 74
% 6.29/1.34 # Removed in clause preprocessing : 0
% 6.29/1.34 # Initial clauses in saturation : 74
% 6.29/1.34 # Processed clauses : 7142
% 6.29/1.34 # ...of these trivial : 2018
% 6.29/1.34 # ...subsumed : 3495
% 6.29/1.34 # ...remaining for further processing : 1629
% 6.29/1.34 # Other redundant clauses eliminated : 0
% 6.29/1.34 # Clauses deleted for lack of memory : 0
% 6.29/1.34 # Backward-subsumed : 3
% 6.29/1.34 # Backward-rewritten : 98
% 6.29/1.34 # Generated clauses : 73700
% 6.29/1.34 # ...of the previous two non-redundant : 49978
% 6.29/1.34 # ...aggressively subsumed : 0
% 6.29/1.34 # Contextual simplify-reflections : 0
% 6.29/1.34 # Paramodulations : 73700
% 6.29/1.34 # Factorizations : 0
% 6.29/1.34 # NegExts : 0
% 6.29/1.34 # Equation resolutions : 0
% 6.29/1.34 # Disequality decompositions : 0
% 6.29/1.34 # Total rewrite steps : 202767
% 6.29/1.34 # ...of those cached : 193001
% 6.29/1.34 # Propositional unsat checks : 0
% 6.29/1.34 # Propositional check models : 0
% 6.29/1.34 # Propositional check unsatisfiable : 0
% 6.29/1.34 # Propositional clauses : 0
% 6.29/1.34 # Propositional clauses after purity: 0
% 6.29/1.34 # Propositional unsat core size : 0
% 6.29/1.34 # Propositional preprocessing time : 0.000
% 6.29/1.34 # Propositional encoding time : 0.000
% 6.29/1.34 # Propositional solver time : 0.000
% 6.29/1.34 # Success case prop preproc time : 0.000
% 6.29/1.34 # Success case prop encoding time : 0.000
% 6.29/1.34 # Success case prop solver time : 0.000
% 6.29/1.34 # Current number of processed clauses : 1467
% 6.29/1.34 # Positive orientable unit clauses : 931
% 6.29/1.34 # Positive unorientable unit clauses: 12
% 6.29/1.34 # Negative unit clauses : 4
% 6.29/1.34 # Non-unit-clauses : 520
% 6.29/1.34 # Current number of unprocessed clauses: 42067
% 6.29/1.34 # ...number of literals in the above : 58283
% 6.29/1.34 # Current number of archived formulas : 0
% 6.29/1.34 # Current number of archived clauses : 162
% 6.29/1.34 # Clause-clause subsumption calls (NU) : 91953
% 6.29/1.34 # Rec. Clause-clause subsumption calls : 91435
% 6.29/1.34 # Non-unit clause-clause subsumptions : 3408
% 6.29/1.34 # Unit Clause-clause subsumption calls : 3138
% 6.29/1.34 # Rewrite failures with RHS unbound : 0
% 6.29/1.34 # BW rewrite match attempts : 59214
% 6.29/1.34 # BW rewrite match successes : 153
% 6.29/1.34 # Condensation attempts : 0
% 6.29/1.34 # Condensation successes : 0
% 6.29/1.34 # Termbank termtop insertions : 1713892
% 6.29/1.34 # Search garbage collected termcells : 1095
% 6.29/1.34
% 6.29/1.34 # -------------------------------------------------
% 6.29/1.34 # User time : 0.785 s
% 6.29/1.34 # System time : 0.043 s
% 6.29/1.34 # Total time : 0.828 s
% 6.29/1.34 # Maximum resident set size: 1940 pages
% 6.29/1.34
% 6.29/1.34 # -------------------------------------------------
% 6.29/1.34 # User time : 3.886 s
% 6.29/1.34 # System time : 0.204 s
% 6.29/1.34 # Total time : 4.090 s
% 6.29/1.34 # Maximum resident set size: 1728 pages
% 6.29/1.34 % E---3.1 exiting
% 6.29/1.34 % E exiting
%------------------------------------------------------------------------------