TSTP Solution File: SWC304-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWC304-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 04:28:57 EDT 2024
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 33 unt; 3 nHn; 59 RR)
% Number of literals : 143 ( 26 equ; 86 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_18,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_15,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_16,negated_conjecture,
ssList(sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_13,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_17,negated_conjecture,
ssList(sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_14,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause182,axiom,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause182) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause114,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause114) ).
cnf(clause121,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause121) ).
cnf(co1_10,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_19,negated_conjecture,
lt(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(c_0_18,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
co1_18 ).
cnf(c_0_19,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_20,plain,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_21,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk3,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
c_0_20 ).
cnf(c_0_23,negated_conjecture,
ssList(sk9),
co1_15 ).
cnf(c_0_24,negated_conjecture,
ssList(sk10),
co1_16 ).
cnf(c_0_25,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_26,negated_conjecture,
( app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),sk11) = sk3
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_27,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_25 ).
cnf(c_0_28,negated_conjecture,
ssItem(sk7),
co1_13 ).
cnf(c_0_29,axiom,
ssList(nil),
clause8 ).
cnf(c_0_30,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_31,negated_conjecture,
app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),sk11) = sk3,
inference(cn,[status(thm)],[inference(rw,[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_32,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_30 ).
cnf(c_0_33,negated_conjecture,
app(app(app(sk9,cons(sk7,sk10)),cons(sk8,nil)),sk11) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28]),c_0_24])]) ).
cnf(c_0_34,negated_conjecture,
ssList(sk11),
co1_17 ).
cnf(c_0_35,negated_conjecture,
( app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk3
| ~ ssList(app(sk9,cons(sk7,sk10)))
| ~ ssList(cons(sk8,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_33]),c_0_34])]) ).
cnf(c_0_36,negated_conjecture,
ssItem(sk8),
co1_14 ).
cnf(c_0_37,plain,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_38,negated_conjecture,
( app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk3
| ~ ssList(app(sk9,cons(sk7,sk10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_36]),c_0_29])]) ).
cnf(c_0_39,plain,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
c_0_37 ).
cnf(c_0_40,plain,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_41,negated_conjecture,
( app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk3
| ~ ssList(cons(sk7,sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_23])]) ).
cnf(c_0_42,plain,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
c_0_40 ).
cnf(c_0_43,negated_conjecture,
app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_28]),c_0_24])]) ).
cnf(c_0_44,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_45,plain,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_46,plain,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_47,plain,
( leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
app(app(sk9,cons(sk7,sk10)),cons(sk8,sk11)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_36]),c_0_34])]) ).
cnf(c_0_49,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_44,c_0_19]) ).
cnf(c_0_50,negated_conjecture,
totalorderedP(sk3),
co1_10 ).
cnf(c_0_51,plain,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
c_0_45 ).
cnf(c_0_52,negated_conjecture,
lt(sk8,sk7),
co1_19 ).
cnf(c_0_53,plain,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
c_0_46 ).
cnf(c_0_54,negated_conjecture,
leq(sk7,sk8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_36]),c_0_28]),c_0_49]),c_0_34]),c_0_24]),c_0_23]),c_0_50])]) ).
cnf(c_0_55,negated_conjecture,
~ lt(sk7,sk8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]),c_0_28])]) ).
cnf(c_0_56,negated_conjecture,
sk8 = sk7,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_36]),c_0_28])]),c_0_55]) ).
cnf(c_0_57,negated_conjecture,
~ lt(sk7,sk7),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_56]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC304-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 03:20:07 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running first-order model finding
% 0.18/0.46 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
% 0.18/0.54 # Version: 3.1.0
% 0.18/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.54 # Starting sh5l with 300s (1) cores
% 0.18/0.54 # sh5l with pid 5663 completed with status 0
% 0.18/0.54 # Result found by sh5l
% 0.18/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.54 # Starting sh5l with 300s (1) cores
% 0.18/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.54 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.54 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 5671 completed with status 0
% 0.18/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.18/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.54 # Starting sh5l with 300s (1) cores
% 0.18/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.54 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.54 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.18/0.54 # Preprocessing time : 0.003 s
% 0.18/0.54 # Presaturation interreduction done
% 0.18/0.54
% 0.18/0.54 # Proof found!
% 0.18/0.54 # SZS status Unsatisfiable
% 0.18/0.54 # SZS output start CNFRefutation
% See solution above
% 0.18/0.54 # Parsed axioms : 205
% 0.18/0.54 # Removed by relevancy pruning/SinE : 34
% 0.18/0.54 # Initial clauses : 171
% 0.18/0.54 # Removed in clause preprocessing : 0
% 0.18/0.54 # Initial clauses in saturation : 171
% 0.18/0.54 # Processed clauses : 553
% 0.18/0.54 # ...of these trivial : 4
% 0.18/0.54 # ...subsumed : 71
% 0.18/0.54 # ...remaining for further processing : 477
% 0.18/0.54 # Other redundant clauses eliminated : 29
% 0.18/0.54 # Clauses deleted for lack of memory : 0
% 0.18/0.54 # Backward-subsumed : 12
% 0.18/0.54 # Backward-rewritten : 35
% 0.18/0.54 # Generated clauses : 772
% 0.18/0.54 # ...of the previous two non-redundant : 707
% 0.18/0.54 # ...aggressively subsumed : 0
% 0.18/0.54 # Contextual simplify-reflections : 33
% 0.18/0.54 # Paramodulations : 739
% 0.18/0.54 # Factorizations : 0
% 0.18/0.54 # NegExts : 0
% 0.18/0.54 # Equation resolutions : 34
% 0.18/0.54 # Disequality decompositions : 0
% 0.18/0.54 # Total rewrite steps : 710
% 0.18/0.54 # ...of those cached : 666
% 0.18/0.54 # Propositional unsat checks : 0
% 0.18/0.54 # Propositional check models : 0
% 0.18/0.54 # Propositional check unsatisfiable : 0
% 0.18/0.54 # Propositional clauses : 0
% 0.18/0.54 # Propositional clauses after purity: 0
% 0.18/0.54 # Propositional unsat core size : 0
% 0.18/0.54 # Propositional preprocessing time : 0.000
% 0.18/0.54 # Propositional encoding time : 0.000
% 0.18/0.54 # Propositional solver time : 0.000
% 0.18/0.54 # Success case prop preproc time : 0.000
% 0.18/0.54 # Success case prop encoding time : 0.000
% 0.18/0.54 # Success case prop solver time : 0.000
% 0.18/0.54 # Current number of processed clauses : 249
% 0.18/0.54 # Positive orientable unit clauses : 78
% 0.18/0.54 # Positive unorientable unit clauses: 0
% 0.18/0.54 # Negative unit clauses : 2
% 0.18/0.54 # Non-unit-clauses : 169
% 0.18/0.54 # Current number of unprocessed clauses: 485
% 0.18/0.54 # ...number of literals in the above : 2169
% 0.18/0.54 # Current number of archived formulas : 0
% 0.18/0.54 # Current number of archived clauses : 210
% 0.18/0.54 # Clause-clause subsumption calls (NU) : 11827
% 0.18/0.54 # Rec. Clause-clause subsumption calls : 3186
% 0.18/0.54 # Non-unit clause-clause subsumptions : 116
% 0.18/0.54 # Unit Clause-clause subsumption calls : 435
% 0.18/0.54 # Rewrite failures with RHS unbound : 0
% 0.18/0.54 # BW rewrite match attempts : 21
% 0.18/0.54 # BW rewrite match successes : 17
% 0.18/0.54 # Condensation attempts : 0
% 0.18/0.54 # Condensation successes : 0
% 0.18/0.54 # Termbank termtop insertions : 22787
% 0.18/0.54 # Search garbage collected termcells : 630
% 0.18/0.54
% 0.18/0.54 # -------------------------------------------------
% 0.18/0.54 # User time : 0.037 s
% 0.18/0.54 # System time : 0.008 s
% 0.18/0.54 # Total time : 0.044 s
% 0.18/0.54 # Maximum resident set size: 2240 pages
% 0.18/0.54
% 0.18/0.54 # -------------------------------------------------
% 0.18/0.54 # User time : 0.041 s
% 0.18/0.54 # System time : 0.010 s
% 0.18/0.54 # Total time : 0.051 s
% 0.18/0.54 # Maximum resident set size: 1880 pages
% 0.18/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------