TSTP Solution File: SWC226+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWC226+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 04:24:35 EDT 2024
% Result : Theorem 0.13s 0.49s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 206 ( 62 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 267 ( 104 ~; 94 |; 38 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn 41 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ leq(X5,X8)
| leq(X8,X5) ) ) ) ) )
| ! [X9] :
( ssList(X9)
=> ( app(X3,X9) != X4
| ~ totalorderedP(X3)
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X9
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X3
& leq(X12,X10) ) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(c_0_9,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ leq(X5,X8)
| leq(X8,X5) ) ) ) ) )
| ! [X9] :
( ssList(X9)
=> ( app(X3,X9) != X4
| ~ totalorderedP(X3)
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X9
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X3
& leq(X12,X10) ) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_11,plain,
! [X101] :
( ~ ssItem(X101)
| ~ memberP(nil,X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,negated_conjecture,
! [X18,X19,X20,X23,X24,X25,X26] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& nil != esk1_0
& ( ssItem(esk5_3(X18,X19,X20))
| ~ ssList(X20)
| app(app(X19,cons(X18,nil)),X20) != esk1_0
| ~ ssList(X19)
| ~ ssItem(X18) )
& ( memberP(X19,esk5_3(X18,X19,X20))
| ~ ssList(X20)
| app(app(X19,cons(X18,nil)),X20) != esk1_0
| ~ ssList(X19)
| ~ ssItem(X18) )
& ( memberP(X20,esk5_3(X18,X19,X20))
| ~ ssList(X20)
| app(app(X19,cons(X18,nil)),X20) != esk1_0
| ~ ssList(X19)
| ~ ssItem(X18) )
& ( leq(X18,esk5_3(X18,X19,X20))
| ~ ssList(X20)
| app(app(X19,cons(X18,nil)),X20) != esk1_0
| ~ ssList(X19)
| ~ ssItem(X18) )
& ( ~ leq(esk5_3(X18,X19,X20),X18)
| ~ ssList(X20)
| app(app(X19,cons(X18,nil)),X20) != esk1_0
| ~ ssList(X19)
| ~ ssItem(X18) )
& ssList(esk6_0)
& app(esk3_0,esk6_0) = esk4_0
& totalorderedP(esk3_0)
& ( ~ ssItem(X23)
| ~ ssList(X24)
| app(cons(X23,nil),X24) != esk6_0
| ~ ssItem(X25)
| ~ ssList(X26)
| app(X26,cons(X25,nil)) != esk3_0
| ~ leq(X25,X23) )
& ( nil = esk4_0
| nil != esk3_0 ) ),
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)],[c_0_10])])])])])]) ).
cnf(c_0_13,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( memberP(X1,esk5_3(X2,X1,X3))
| ~ ssList(X3)
| app(app(X1,cons(X2,nil)),X3) != esk1_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_16,plain,
! [X50] :
( ~ ssList(X50)
| app(nil,X50) = X50 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).
cnf(c_0_17,negated_conjecture,
( app(app(nil,cons(X1,nil)),X2) != esk1_0
| ~ ssList(X2)
| ~ ssItem(esk5_3(X1,nil,X2))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( ssItem(esk5_3(X1,X2,X3))
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( app(cons(X1,nil),X2) != esk1_0
| ~ ssList(cons(X1,nil))
| ~ ssList(X2)
| ~ ssItem(esk5_3(X1,nil,X2))
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_21,plain,
! [X57,X58] :
( ~ ssList(X57)
| ~ ssItem(X58)
| cons(X58,X57) = app(cons(X58,nil),X57) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).
fof(c_0_22,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
inference(fof_simplification,[status(thm)],[ax78]) ).
fof(c_0_23,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax24]) ).
fof(c_0_24,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax22]) ).
cnf(c_0_25,negated_conjecture,
( app(cons(X1,nil),X2) != esk1_0
| ~ ssList(cons(X1,nil))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_15])]),c_0_20]) ).
cnf(c_0_26,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X65,X66] :
( ~ ssList(X65)
| ~ ssItem(X66)
| ssList(cons(X66,X65)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).
fof(c_0_28,plain,
! [X115] :
( ~ ssList(X115)
| nil = X115
| cons(hd(X115),tl(X115)) = X115 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_29,plain,
! [X118] :
( ~ ssList(X118)
| nil = X118
| ssList(tl(X118)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_30,plain,
! [X108] :
( ~ ssList(X108)
| nil = X108
| ssItem(hd(X108)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_31,negated_conjecture,
( cons(X1,X2) != esk1_0
| ~ ssList(cons(X1,nil))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
nil != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( cons(X1,X2) != esk1_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15])]) ).
cnf(c_0_39,negated_conjecture,
cons(hd(esk1_0),tl(esk1_0)) = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
ssList(tl(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_34]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
ssItem(hd(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_34]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC226+1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.28 % Computer : n008.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun May 19 02:54:37 EDT 2024
% 0.13/0.28 % CPUTime :
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 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
% 0.13/0.49 # Version: 3.1.0
% 0.13/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.49 # Starting sh5l with 300s (1) cores
% 0.13/0.49 # new_bool_3 with pid 8862 completed with status 0
% 0.13/0.49 # Result found by new_bool_3
% 0.13/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.49 # Search class: FGHSF-FFMM31-MFFFFFNN
% 0.13/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 181s (1) cores
% 0.13/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 8865 completed with status 0
% 0.13/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.13/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.49 # Search class: FGHSF-FFMM31-MFFFFFNN
% 0.13/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 181s (1) cores
% 0.13/0.49 # Preprocessing time : 0.004 s
% 0.13/0.49
% 0.13/0.49 # Proof found!
% 0.13/0.49 # SZS status Theorem
% 0.13/0.49 # SZS output start CNFRefutation
% See solution above
% 0.13/0.49 # Parsed axioms : 96
% 0.13/0.49 # Removed by relevancy pruning/SinE : 52
% 0.13/0.49 # Initial clauses : 89
% 0.13/0.49 # Removed in clause preprocessing : 1
% 0.13/0.49 # Initial clauses in saturation : 88
% 0.13/0.49 # Processed clauses : 817
% 0.13/0.49 # ...of these trivial : 38
% 0.13/0.49 # ...subsumed : 338
% 0.13/0.49 # ...remaining for further processing : 441
% 0.13/0.49 # Other redundant clauses eliminated : 3
% 0.13/0.49 # Clauses deleted for lack of memory : 0
% 0.13/0.49 # Backward-subsumed : 17
% 0.13/0.49 # Backward-rewritten : 15
% 0.13/0.49 # Generated clauses : 4472
% 0.13/0.49 # ...of the previous two non-redundant : 4137
% 0.13/0.49 # ...aggressively subsumed : 0
% 0.13/0.49 # Contextual simplify-reflections : 72
% 0.13/0.49 # Paramodulations : 4386
% 0.13/0.49 # Factorizations : 62
% 0.13/0.49 # NegExts : 0
% 0.13/0.49 # Equation resolutions : 24
% 0.13/0.49 # Disequality decompositions : 0
% 0.13/0.49 # Total rewrite steps : 1830
% 0.13/0.49 # ...of those cached : 1800
% 0.13/0.49 # Propositional unsat checks : 0
% 0.13/0.49 # Propositional check models : 0
% 0.13/0.49 # Propositional check unsatisfiable : 0
% 0.13/0.49 # Propositional clauses : 0
% 0.13/0.49 # Propositional clauses after purity: 0
% 0.13/0.49 # Propositional unsat core size : 0
% 0.13/0.49 # Propositional preprocessing time : 0.000
% 0.13/0.49 # Propositional encoding time : 0.000
% 0.13/0.49 # Propositional solver time : 0.000
% 0.13/0.49 # Success case prop preproc time : 0.000
% 0.13/0.49 # Success case prop encoding time : 0.000
% 0.13/0.49 # Success case prop solver time : 0.000
% 0.13/0.49 # Current number of processed clauses : 407
% 0.13/0.49 # Positive orientable unit clauses : 28
% 0.13/0.49 # Positive unorientable unit clauses: 0
% 0.13/0.49 # Negative unit clauses : 22
% 0.13/0.49 # Non-unit-clauses : 357
% 0.13/0.49 # Current number of unprocessed clauses: 3349
% 0.13/0.49 # ...number of literals in the above : 15405
% 0.13/0.49 # Current number of archived formulas : 0
% 0.13/0.49 # Current number of archived clauses : 32
% 0.13/0.49 # Clause-clause subsumption calls (NU) : 13633
% 0.13/0.49 # Rec. Clause-clause subsumption calls : 2992
% 0.13/0.49 # Non-unit clause-clause subsumptions : 308
% 0.13/0.49 # Unit Clause-clause subsumption calls : 816
% 0.13/0.49 # Rewrite failures with RHS unbound : 0
% 0.13/0.49 # BW rewrite match attempts : 5
% 0.13/0.49 # BW rewrite match successes : 5
% 0.13/0.49 # Condensation attempts : 0
% 0.13/0.49 # Condensation successes : 0
% 0.13/0.49 # Termbank termtop insertions : 84145
% 0.13/0.49 # Search garbage collected termcells : 2372
% 0.13/0.49
% 0.13/0.49 # -------------------------------------------------
% 0.13/0.49 # User time : 0.110 s
% 0.13/0.49 # System time : 0.009 s
% 0.13/0.49 # Total time : 0.119 s
% 0.13/0.49 # Maximum resident set size: 2052 pages
% 0.13/0.49
% 0.13/0.49 # -------------------------------------------------
% 0.13/0.49 # User time : 0.112 s
% 0.13/0.49 # System time : 0.011 s
% 0.13/0.49 # Total time : 0.122 s
% 0.13/0.49 # Maximum resident set size: 1832 pages
% 0.13/0.49 % E---3.1 exiting
% 0.13/0.49 % E exiting
%------------------------------------------------------------------------------