TSTP Solution File: SWC017-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWC017-1 : TPTP v8.2.0. Released v2.4.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:22:36 EDT 2024
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 52 ( 16 unt; 9 nHn; 52 RR)
% Number of literals : 119 ( 36 equ; 65 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_10,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_9,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_11,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_12,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause83,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause60,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(co1_14,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(c_0_15,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_16,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
inference(fof_simplification,[status(thm)],[co1_10]) ).
cnf(c_0_17,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
inference(fof_simplification,[status(thm)],[co1_9]) ).
cnf(c_0_18,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_20,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
co1_11 ).
cnf(c_0_21,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_22,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_23,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk3) ),
co1_12 ).
cnf(c_0_24,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
c_0_16 ).
cnf(c_0_25,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
c_0_17 ).
cnf(c_0_26,negated_conjecture,
( sk2 = nil
| ~ neq(X1,nil)
| ~ frontsegP(sk3,X1)
| ~ frontsegP(sk2,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( sk2 = nil
| neq(sk3,nil) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( sk2 = nil
| frontsegP(sk2,sk3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_21]) ).
cnf(c_0_30,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_31,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_32,negated_conjecture,
( sk3 != nil
| ~ neq(X1,nil)
| ~ frontsegP(sk3,X1)
| ~ frontsegP(sk2,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_19]) ).
cnf(c_0_33,negated_conjecture,
( neq(sk2,nil)
| sk3 != nil ),
inference(rw,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_35,negated_conjecture,
( sk2 = nil
| ~ frontsegP(sk3,sk3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_36,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
c_0_30 ).
cnf(c_0_37,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
c_0_31 ).
cnf(c_0_38,axiom,
ssList(nil),
clause8 ).
cnf(c_0_39,negated_conjecture,
( sk3 != nil
| ~ frontsegP(sk3,sk2)
| ~ frontsegP(sk2,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_40,negated_conjecture,
sk2 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28])]) ).
cnf(c_0_41,plain,
frontsegP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_38])]) ).
cnf(c_0_42,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_43,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
co1_14 ).
cnf(c_0_44,negated_conjecture,
( sk3 != nil
| ~ frontsegP(sk3,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_40]),c_0_40]),c_0_41])]) ).
cnf(c_0_45,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
c_0_42 ).
cnf(c_0_46,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_47,negated_conjecture,
( sk3 = nil
| frontsegP(sk2,sk3) ),
inference(rw,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_48,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]) ).
cnf(c_0_49,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
c_0_46 ).
cnf(c_0_50,negated_conjecture,
frontsegP(nil,sk3),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_40]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_28])]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC017-1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 03:30:08 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 # Version: 3.1.0
% 0.16/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # Starting sh5l with 300s (1) cores
% 0.16/0.46 # new_bool_1 with pid 14595 completed with status 0
% 0.16/0.46 # Result found by new_bool_1
% 0.16/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.46 # SAT001_MinMin_p005000_rr_RG with pid 14598 completed with status 0
% 0.16/0.46 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.46 # Preprocessing time : 0.001 s
% 0.16/0.46 # Presaturation interreduction done
% 0.16/0.46
% 0.16/0.46 # Proof found!
% 0.16/0.46 # SZS status Unsatisfiable
% 0.16/0.46 # SZS output start CNFRefutation
% See solution above
% 0.16/0.46 # Parsed axioms : 199
% 0.16/0.46 # Removed by relevancy pruning/SinE : 153
% 0.16/0.46 # Initial clauses : 46
% 0.16/0.46 # Removed in clause preprocessing : 0
% 0.16/0.46 # Initial clauses in saturation : 46
% 0.16/0.46 # Processed clauses : 102
% 0.16/0.46 # ...of these trivial : 2
% 0.16/0.46 # ...subsumed : 4
% 0.16/0.46 # ...remaining for further processing : 96
% 0.16/0.46 # Other redundant clauses eliminated : 11
% 0.16/0.46 # Clauses deleted for lack of memory : 0
% 0.16/0.46 # Backward-subsumed : 2
% 0.16/0.46 # Backward-rewritten : 13
% 0.16/0.46 # Generated clauses : 63
% 0.16/0.46 # ...of the previous two non-redundant : 54
% 0.16/0.46 # ...aggressively subsumed : 0
% 0.16/0.46 # Contextual simplify-reflections : 3
% 0.16/0.46 # Paramodulations : 50
% 0.16/0.46 # Factorizations : 0
% 0.16/0.46 # NegExts : 0
% 0.16/0.46 # Equation resolutions : 13
% 0.16/0.46 # Disequality decompositions : 0
% 0.16/0.46 # Total rewrite steps : 78
% 0.16/0.46 # ...of those cached : 71
% 0.16/0.46 # Propositional unsat checks : 0
% 0.16/0.46 # Propositional check models : 0
% 0.16/0.46 # Propositional check unsatisfiable : 0
% 0.16/0.46 # Propositional clauses : 0
% 0.16/0.46 # Propositional clauses after purity: 0
% 0.16/0.46 # Propositional unsat core size : 0
% 0.16/0.46 # Propositional preprocessing time : 0.000
% 0.16/0.46 # Propositional encoding time : 0.000
% 0.16/0.46 # Propositional solver time : 0.000
% 0.16/0.46 # Success case prop preproc time : 0.000
% 0.16/0.46 # Success case prop encoding time : 0.000
% 0.16/0.46 # Success case prop solver time : 0.000
% 0.16/0.46 # Current number of processed clauses : 30
% 0.16/0.46 # Positive orientable unit clauses : 9
% 0.16/0.46 # Positive unorientable unit clauses: 0
% 0.16/0.46 # Negative unit clauses : 1
% 0.16/0.46 # Non-unit-clauses : 20
% 0.16/0.46 # Current number of unprocessed clauses: 39
% 0.16/0.46 # ...number of literals in the above : 172
% 0.16/0.46 # Current number of archived formulas : 0
% 0.16/0.46 # Current number of archived clauses : 60
% 0.16/0.46 # Clause-clause subsumption calls (NU) : 558
% 0.16/0.46 # Rec. Clause-clause subsumption calls : 105
% 0.16/0.46 # Non-unit clause-clause subsumptions : 5
% 0.16/0.46 # Unit Clause-clause subsumption calls : 5
% 0.16/0.46 # Rewrite failures with RHS unbound : 0
% 0.16/0.46 # BW rewrite match attempts : 1
% 0.16/0.46 # BW rewrite match successes : 1
% 0.16/0.46 # Condensation attempts : 0
% 0.16/0.46 # Condensation successes : 0
% 0.16/0.46 # Termbank termtop insertions : 4338
% 0.16/0.46 # Search garbage collected termcells : 917
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.008 s
% 0.16/0.46 # System time : 0.001 s
% 0.16/0.46 # Total time : 0.009 s
% 0.16/0.46 # Maximum resident set size: 2076 pages
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.011 s
% 0.16/0.46 # System time : 0.004 s
% 0.16/0.46 # Total time : 0.015 s
% 0.16/0.46 # Maximum resident set size: 1872 pages
% 0.16/0.46 % E---3.1 exiting
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------