TSTP Solution File: COM149+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 17:21:29 EDT 2023
% Result : Theorem 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 118 ( 69 equ)
% Maximal formula atoms : 72 ( 5 avg)
% Number of connectives : 136 ( 39 ~; 65 |; 27 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 10 sgn; 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Progress-T-var',conjecture,
! [X15,X9] :
( ( vtcheck(vempty,vvar(X9),X15)
& ~ visValue(vvar(X9)) )
=> ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p','T-Progress-T-var') ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p',lookup0) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p','T-inv') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p','DIFF-var-abs') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p','DIFF-var-app') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox2/tmp/tmp.Oy6JBi9WQj/E---3.1_32036.p','DIFF-noType-someType') ).
fof(c_0_6,negated_conjecture,
~ ! [X15,X9] :
( ( vtcheck(vempty,vvar(X9),X15)
& ~ visValue(vvar(X9)) )
=> ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Progress-T-var'])]) ).
fof(c_0_7,plain,
! [X102,X103,X104,X105] :
( X103 != X102
| X104 != vempty
| X105 != vlookup(X103,X104)
| X105 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(c_0_8,plain,
! [X286,X287,X288] :
( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_9,negated_conjecture,
! [X309] :
( vtcheck(vempty,vvar(esk33_0),esk32_0)
& ~ visValue(vvar(esk33_0))
& vreduce(vvar(esk33_0)) != vsomeExp(X309) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_10,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_12,plain,
! [X52,X53,X54] : vvar(X52) != vapp(X53,X54),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_13,plain,
! [X95] : vnoType != vsomeType(X95),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(c_0_14,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
vtcheck(vempty,vvar(esk33_0),esk32_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
vlookup(X1,vempty) = vnoType,
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])])]) ).
cnf(c_0_17,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% 0.10/0.16 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n023.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 2400
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Oct 3 05:17:52 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.53 Running first-order theorem proving
% 0.21/0.53 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.Oy6JBi9WQj/E---3.1_32036.p
% 0.21/0.63 # Version: 3.1pre001
% 0.21/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.63 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.63 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.63 # Starting sh5l with 300s (1) cores
% 0.21/0.63 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 32153 completed with status 0
% 0.21/0.63 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.63 # No SInE strategy applied
% 0.21/0.63 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.21/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.63 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.21/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.63 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.63 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.63 # Starting sh5l with 136s (1) cores
% 0.21/0.63 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 32163 completed with status 0
% 0.21/0.63 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.63 # No SInE strategy applied
% 0.21/0.63 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.21/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.63 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.21/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.63 # Preprocessing time : 0.005 s
% 0.21/0.63 # Presaturation interreduction done
% 0.21/0.63
% 0.21/0.63 # Proof found!
% 0.21/0.63 # SZS status Theorem
% 0.21/0.63 # SZS output start CNFRefutation
% See solution above
% 0.21/0.63 # Parsed axioms : 57
% 0.21/0.63 # Removed by relevancy pruning/SinE : 0
% 0.21/0.63 # Initial clauses : 420
% 0.21/0.63 # Removed in clause preprocessing : 10
% 0.21/0.63 # Initial clauses in saturation : 410
% 0.21/0.63 # Processed clauses : 754
% 0.21/0.63 # ...of these trivial : 0
% 0.21/0.63 # ...subsumed : 41
% 0.21/0.63 # ...remaining for further processing : 713
% 0.21/0.63 # Other redundant clauses eliminated : 164
% 0.21/0.63 # Clauses deleted for lack of memory : 0
% 0.21/0.63 # Backward-subsumed : 1
% 0.21/0.63 # Backward-rewritten : 36
% 0.21/0.63 # Generated clauses : 760
% 0.21/0.63 # ...of the previous two non-redundant : 754
% 0.21/0.63 # ...aggressively subsumed : 0
% 0.21/0.63 # Contextual simplify-reflections : 0
% 0.21/0.63 # Paramodulations : 635
% 0.21/0.63 # Factorizations : 0
% 0.21/0.63 # NegExts : 0
% 0.21/0.63 # Equation resolutions : 177
% 0.21/0.63 # Total rewrite steps : 49
% 0.21/0.63 # Propositional unsat checks : 0
% 0.21/0.63 # Propositional check models : 0
% 0.21/0.63 # Propositional check unsatisfiable : 0
% 0.21/0.63 # Propositional clauses : 0
% 0.21/0.63 # Propositional clauses after purity: 0
% 0.21/0.63 # Propositional unsat core size : 0
% 0.21/0.63 # Propositional preprocessing time : 0.000
% 0.21/0.63 # Propositional encoding time : 0.000
% 0.21/0.63 # Propositional solver time : 0.000
% 0.21/0.63 # Success case prop preproc time : 0.000
% 0.21/0.63 # Success case prop encoding time : 0.000
% 0.21/0.63 # Success case prop solver time : 0.000
% 0.21/0.63 # Current number of processed clauses : 214
% 0.21/0.63 # Positive orientable unit clauses : 14
% 0.21/0.63 # Positive unorientable unit clauses: 0
% 0.21/0.63 # Negative unit clauses : 12
% 0.21/0.63 # Non-unit-clauses : 188
% 0.21/0.63 # Current number of unprocessed clauses: 778
% 0.21/0.63 # ...number of literals in the above : 3196
% 0.21/0.63 # Current number of archived formulas : 0
% 0.21/0.63 # Current number of archived clauses : 405
% 0.21/0.63 # Clause-clause subsumption calls (NU) : 68234
% 0.21/0.63 # Rec. Clause-clause subsumption calls : 16461
% 0.21/0.63 # Non-unit clause-clause subsumptions : 40
% 0.21/0.63 # Unit Clause-clause subsumption calls : 1949
% 0.21/0.63 # Rewrite failures with RHS unbound : 0
% 0.21/0.63 # BW rewrite match attempts : 15
% 0.21/0.63 # BW rewrite match successes : 2
% 0.21/0.63 # Condensation attempts : 0
% 0.21/0.63 # Condensation successes : 0
% 0.21/0.63 # Termbank termtop insertions : 43495
% 0.21/0.63
% 0.21/0.63 # -------------------------------------------------
% 0.21/0.63 # User time : 0.072 s
% 0.21/0.63 # System time : 0.006 s
% 0.21/0.63 # Total time : 0.078 s
% 0.21/0.63 # Maximum resident set size: 2824 pages
% 0.21/0.63
% 0.21/0.63 # -------------------------------------------------
% 0.21/0.63 # User time : 0.341 s
% 0.21/0.63 # System time : 0.016 s
% 0.21/0.63 # Total time : 0.357 s
% 0.21/0.63 # Maximum resident set size: 1796 pages
% 0.21/0.63 % E---3.1 exiting
% 0.21/0.63 % E---3.1 exiting
%------------------------------------------------------------------------------