TSTP Solution File: SWC348+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWC348+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 04:29:11 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 120 ( 24 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 131 ( 50 ~; 45 |; 17 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ( ~ singletonP(X3)
& neq(X4,nil) )
| ( segmentP(X2,X1)
& strictorderedP(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ( ~ singletonP(X3)
& neq(X4,nil) )
| ( segmentP(X2,X1)
& strictorderedP(X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_8,negated_conjecture,
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& segmentP(esk51_0,esk50_0)
& ( singletonP(esk50_0)
| ~ neq(esk51_0,nil) )
& ( ~ segmentP(esk49_0,esk48_0)
| ~ strictorderedP(esk48_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_9,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
inference(fof_simplification,[status(thm)],[ax15]) ).
fof(c_0_10,plain,
! [X202] :
( ~ ssItem(X202)
| strictorderedP(cons(X202,nil)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])])]) ).
fof(c_0_11,plain,
! [X17,X19] :
( ( ssItem(esk5_1(X17))
| ~ singletonP(X17)
| ~ ssList(X17) )
& ( cons(esk5_1(X17),nil) = X17
| ~ singletonP(X17)
| ~ ssList(X17) )
& ( ~ ssItem(X19)
| cons(X19,nil) != X17
| singletonP(X17)
| ~ ssList(X17) ) ),
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)],[ax4])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X109,X110] :
( ( ~ neq(X109,X110)
| X109 != X110
| ~ ssList(X110)
| ~ ssList(X109) )
& ( X109 = X110
| neq(X109,X110)
| ~ ssList(X110)
| ~ ssList(X109) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
cnf(c_0_15,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ segmentP(esk49_0,esk48_0)
| ~ strictorderedP(esk48_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( singletonP(esk48_0)
| ~ neq(esk51_0,nil) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_23,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_25,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ strictorderedP(esk48_0)
| ~ segmentP(esk51_0,esk48_0) ),
inference(rw,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
segmentP(esk51_0,esk48_0),
inference(rw,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_28,plain,
( strictorderedP(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( esk51_0 = nil
| singletonP(esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_30,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
~ strictorderedP(esk48_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
fof(c_0_32,plain,
! [X195] :
( ( ~ segmentP(nil,X195)
| nil = X195
| ~ ssList(X195) )
& ( nil != X195
| segmentP(nil,X195)
| ~ ssList(X195) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])]) ).
cnf(c_0_33,negated_conjecture,
esk51_0 = nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_34,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
segmentP(nil,esk48_0),
inference(rw,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
esk48_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_30])]) ).
cnf(c_0_37,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC348+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 02:38:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.45 Running first-order model finding
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23792 completed with status 0
% 0.19/0.48 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.19/0.48 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.48 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.19/0.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 23802 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.19/0.48 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.48 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.19/0.48 # Preprocessing time : 0.002 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 96
% 0.19/0.49 # Removed by relevancy pruning/SinE : 0
% 0.19/0.49 # Initial clauses : 199
% 0.19/0.49 # Removed in clause preprocessing : 2
% 0.19/0.49 # Initial clauses in saturation : 197
% 0.19/0.49 # Processed clauses : 352
% 0.19/0.49 # ...of these trivial : 2
% 0.19/0.49 # ...subsumed : 11
% 0.19/0.49 # ...remaining for further processing : 339
% 0.19/0.49 # Other redundant clauses eliminated : 27
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 1
% 0.19/0.49 # Backward-rewritten : 11
% 0.19/0.49 # Generated clauses : 55
% 0.19/0.49 # ...of the previous two non-redundant : 49
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 3
% 0.19/0.49 # Paramodulations : 30
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 27
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 41
% 0.19/0.49 # ...of those cached : 31
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 113
% 0.19/0.49 # Positive orientable unit clauses : 17
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 2
% 0.19/0.49 # Non-unit-clauses : 94
% 0.19/0.49 # Current number of unprocessed clauses: 84
% 0.19/0.49 # ...number of literals in the above : 401
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 203
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 11831
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 3125
% 0.19/0.49 # Non-unit clause-clause subsumptions : 13
% 0.19/0.49 # Unit Clause-clause subsumption calls : 49
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 3
% 0.19/0.49 # BW rewrite match successes : 3
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 19097
% 0.19/0.49 # Search garbage collected termcells : 4223
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.022 s
% 0.19/0.49 # System time : 0.002 s
% 0.19/0.49 # Total time : 0.024 s
% 0.19/0.49 # Maximum resident set size: 2460 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.083 s
% 0.19/0.49 # System time : 0.014 s
% 0.19/0.49 # Total time : 0.097 s
% 0.19/0.49 # Maximum resident set size: 1820 pages
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------