TSTP Solution File: SWC188-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWC188-1 : TPTP v8.1.2. 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:39:47 EDT 2023
% Result : Unsatisfiable 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of clauses : 54 ( 30 unt; 5 nHn; 54 RR)
% Number of literals : 108 ( 37 equ; 52 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_11) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.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/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause149) ).
cnf(co1_9,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_9) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause86) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_7) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause8) ).
cnf(co1_8,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_8) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause120) ).
cnf(co1_10,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_10) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause157) ).
cnf(clause180,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause180) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_1) ).
cnf(clause64,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause64) ).
cnf(co1_18,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_18) ).
cnf(co1_14,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_14) ).
cnf(co1_12,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',co1_12) ).
cnf(clause1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/tmp/tmp.8dQWJhd268/E---3.1_26823.p',clause1) ).
cnf(c_0_18,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
co1_11 ).
cnf(c_0_19,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_20,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_22,negated_conjecture,
ssList(sk7),
co1_9 ).
cnf(c_0_23,negated_conjecture,
( app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_24,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_25,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_26,axiom,
ssList(nil),
clause8 ).
cnf(c_0_27,negated_conjecture,
( app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
ssItem(sk6),
co1_8 ).
cnf(c_0_29,negated_conjecture,
app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_28]),c_0_26])]) ).
cnf(c_0_30,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_31,negated_conjecture,
( app(app(sk7,cons(sk5,cons(sk6,nil))),sk8) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25])]) ).
cnf(c_0_32,negated_conjecture,
app(app(sk7,cons(sk5,cons(sk6,nil))),sk8) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_28]),c_0_26])]) ).
cnf(c_0_33,negated_conjecture,
ssList(sk8),
co1_10 ).
cnf(c_0_34,negated_conjecture,
( app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3
| ~ ssList(cons(sk5,cons(sk6,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_22]),c_0_33])]) ).
cnf(c_0_35,negated_conjecture,
( app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_25])]) ).
cnf(c_0_36,negated_conjecture,
app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_24]),c_0_28]),c_0_26])]) ).
cnf(c_0_37,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_38,negated_conjecture,
( app(sk7,cons(sk5,app(cons(sk6,nil),sk8))) = sk3
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25]),c_0_33])]) ).
cnf(c_0_39,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
clause180 ).
cnf(c_0_40,negated_conjecture,
app(sk7,cons(sk5,app(cons(sk6,nil),sk8))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_28]),c_0_26])]) ).
cnf(c_0_41,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_42,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64 ).
cnf(c_0_43,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
co1_18 ).
cnf(c_0_44,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
co1_14 ).
cnf(c_0_45,plain,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ equalelemsP(app(X3,cons(X1,cons(X2,X4)))) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
app(sk7,cons(sk5,cons(sk6,sk8))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_28]),c_0_33])]) ).
cnf(c_0_47,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_41,c_0_19]) ).
cnf(c_0_48,negated_conjecture,
sk5 != sk6,
co1_12 ).
cnf(c_0_49,negated_conjecture,
( sk3 = nil
| equalelemsP(sk3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_50,negated_conjecture,
~ equalelemsP(sk3),
inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_45,c_0_46]),c_0_28]),c_0_25]),c_0_47]),c_0_33]),c_0_22])]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
sk3 = nil,
inference(sr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,axiom,
equalelemsP(nil),
clause1 ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SWC188-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 01:50:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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.8dQWJhd268/E---3.1_26823.p
% 0.18/0.52 # Version: 3.1pre001
% 0.18/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.52 # Starting sh5l with 300s (1) cores
% 0.18/0.52 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 26901 completed with status 0
% 0.18/0.52 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.52 # No SInE strategy applied
% 0.18/0.52 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.52 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.18/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.52 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.18/0.52 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.18/0.52 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.18/0.52 # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 26907 completed with status 0
% 0.18/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.18/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.52 # No SInE strategy applied
% 0.18/0.52 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.18/0.52 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.18/0.52 # Preprocessing time : 0.003 s
% 0.18/0.52 # Presaturation interreduction done
% 0.18/0.52
% 0.18/0.52 # Proof found!
% 0.18/0.52 # SZS status Unsatisfiable
% 0.18/0.52 # SZS output start CNFRefutation
% See solution above
% 0.18/0.52 # Parsed axioms : 205
% 0.18/0.52 # Removed by relevancy pruning/SinE : 0
% 0.18/0.52 # Initial clauses : 205
% 0.18/0.52 # Removed in clause preprocessing : 0
% 0.18/0.52 # Initial clauses in saturation : 205
% 0.18/0.52 # Processed clauses : 557
% 0.18/0.52 # ...of these trivial : 2
% 0.18/0.52 # ...subsumed : 67
% 0.18/0.52 # ...remaining for further processing : 488
% 0.18/0.52 # Other redundant clauses eliminated : 52
% 0.18/0.52 # Clauses deleted for lack of memory : 0
% 0.18/0.52 # Backward-subsumed : 4
% 0.18/0.52 # Backward-rewritten : 68
% 0.18/0.52 # Generated clauses : 713
% 0.18/0.52 # ...of the previous two non-redundant : 612
% 0.18/0.52 # ...aggressively subsumed : 0
% 0.18/0.52 # Contextual simplify-reflections : 36
% 0.18/0.52 # Paramodulations : 655
% 0.18/0.52 # Factorizations : 0
% 0.18/0.52 # NegExts : 0
% 0.18/0.52 # Equation resolutions : 57
% 0.18/0.52 # Total rewrite steps : 654
% 0.18/0.52 # Propositional unsat checks : 0
% 0.18/0.52 # Propositional check models : 0
% 0.18/0.52 # Propositional check unsatisfiable : 0
% 0.18/0.52 # Propositional clauses : 0
% 0.18/0.52 # Propositional clauses after purity: 0
% 0.18/0.52 # Propositional unsat core size : 0
% 0.18/0.52 # Propositional preprocessing time : 0.000
% 0.18/0.52 # Propositional encoding time : 0.000
% 0.18/0.52 # Propositional solver time : 0.000
% 0.18/0.52 # Success case prop preproc time : 0.000
% 0.18/0.52 # Success case prop encoding time : 0.000
% 0.18/0.52 # Success case prop solver time : 0.000
% 0.18/0.52 # Current number of processed clauses : 194
% 0.18/0.52 # Positive orientable unit clauses : 65
% 0.18/0.52 # Positive unorientable unit clauses: 0
% 0.18/0.52 # Negative unit clauses : 3
% 0.18/0.52 # Non-unit-clauses : 126
% 0.18/0.52 # Current number of unprocessed clauses: 453
% 0.18/0.52 # ...number of literals in the above : 2169
% 0.18/0.52 # Current number of archived formulas : 0
% 0.18/0.52 # Current number of archived clauses : 271
% 0.18/0.52 # Clause-clause subsumption calls (NU) : 12823
% 0.18/0.52 # Rec. Clause-clause subsumption calls : 2094
% 0.18/0.52 # Non-unit clause-clause subsumptions : 95
% 0.18/0.52 # Unit Clause-clause subsumption calls : 340
% 0.18/0.52 # Rewrite failures with RHS unbound : 0
% 0.18/0.52 # BW rewrite match attempts : 11
% 0.18/0.52 # BW rewrite match successes : 9
% 0.18/0.52 # Condensation attempts : 0
% 0.18/0.52 # Condensation successes : 0
% 0.18/0.52 # Termbank termtop insertions : 18731
% 0.18/0.52
% 0.18/0.52 # -------------------------------------------------
% 0.18/0.52 # User time : 0.039 s
% 0.18/0.52 # System time : 0.006 s
% 0.18/0.52 # Total time : 0.045 s
% 0.18/0.52 # Maximum resident set size: 2116 pages
% 0.18/0.52
% 0.18/0.52 # -------------------------------------------------
% 0.18/0.52 # User time : 0.184 s
% 0.18/0.52 # System time : 0.024 s
% 0.18/0.52 # Total time : 0.208 s
% 0.18/0.52 # Maximum resident set size: 1856 pages
% 0.18/0.52 % E---3.1 exiting
% 0.18/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------