TSTP Solution File: SYN558-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Sat May 4 10:22:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 47 ( 18 unt; 0 nHn; 38 RR)
% Number of literals : 111 ( 0 equ; 69 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 94 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_9,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p2_9) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p2_13) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p2_1) ).
cnf(p5_6,negated_conjecture,
p5(c7,X1,f3(X1)),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p5_6) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X1)),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p6_3) ).
cnf(p5_11,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p5_11) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p5_14) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p5_5) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',not_p5_8) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p5_4) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p',p4_2) ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
inference(fof_simplification,[status(thm)],[p2_9]) ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
inference(fof_simplification,[status(thm)],[p2_13]) ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_15,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
p5(c7,X1,f3(X1)),
p5_6 ).
cnf(c_0_17,negated_conjecture,
p6(c7,f3(X1)),
p6_3 ).
cnf(c_0_18,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[p5_11]) ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X2,X1)
| ~ p6(c7,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
inference(fof_simplification,[status(thm)],[p5_14]) ).
cnf(c_0_23,negated_conjecture,
( p2(f3(X1),X2)
| ~ p5(c7,X1,X2)
| ~ p6(c7,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
( p2(X1,X2)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X2)
| ~ p2(f3(X3),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X3)
| ~ p5(c7,X3,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( p5(X1,X2,X3)
| ~ p4(c7,X1)
| ~ p2(f3(X4),X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X3,X2)
| ~ p2(f3(X3),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_17])]) ).
cnf(c_0_30,negated_conjecture,
p5(c7,c10,c8),
p5_5 ).
cnf(c_0_31,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
inference(fof_simplification,[status(thm)],[not_p5_8]) ).
cnf(c_0_32,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,f3(X1),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p4(c7,X1)
| ~ p2(X3,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_34,negated_conjecture,
p5(c7,c10,c9),
p5_4 ).
cnf(c_0_35,negated_conjecture,
( p2(X1,f3(c8))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
c_0_31 ).
cnf(c_0_37,negated_conjecture,
p5(c7,X1,f3(f3(f3(X1)))),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_38,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p5(X1,X2,X4)
| ~ p4(c7,X1)
| ~ p2(X3,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_40,negated_conjecture,
( p2(X1,f3(c9))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
p2(f3(c10),f3(c8)),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_42,negated_conjecture,
~ p5(c7,c9,f3(f3(f3(c8)))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p2(X2,f3(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_16]),c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
p2(f3(c8),f3(c9)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
~ p5(c7,c9,f3(f3(c8))),
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 11:04:15 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.FGtBsPE3O7/E---3.1_16455.p
% 0.20/0.55 # Version: 3.1.0
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55 # Starting sh5l with 300s (1) cores
% 0.20/0.55 # new_bool_3 with pid 16579 completed with status 0
% 0.20/0.55 # Result found by new_bool_3
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55 # Search class: FHHNM-FFSF11-SFFFFFNN
% 0.20/0.55 # partial match(1): FHHNF-FFSF11-SFFFFFNN
% 0.20/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.55 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16584 completed with status 0
% 0.20/0.55 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55 # Search class: FHHNM-FFSF11-SFFFFFNN
% 0.20/0.55 # partial match(1): FHHNF-FFSF11-SFFFFFNN
% 0.20/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.55 # Preprocessing time : 0.001 s
% 0.20/0.55 # Presaturation interreduction done
% 0.20/0.55
% 0.20/0.55 # Proof found!
% 0.20/0.55 # SZS status Unsatisfiable
% 0.20/0.55 # SZS output start CNFRefutation
% See solution above
% 0.20/0.55 # Parsed axioms : 14
% 0.20/0.55 # Removed by relevancy pruning/SinE : 0
% 0.20/0.55 # Initial clauses : 14
% 0.20/0.55 # Removed in clause preprocessing : 0
% 0.20/0.55 # Initial clauses in saturation : 14
% 0.20/0.55 # Processed clauses : 527
% 0.20/0.55 # ...of these trivial : 38
% 0.20/0.55 # ...subsumed : 180
% 0.20/0.55 # ...remaining for further processing : 309
% 0.20/0.55 # Other redundant clauses eliminated : 0
% 0.20/0.55 # Clauses deleted for lack of memory : 0
% 0.20/0.55 # Backward-subsumed : 83
% 0.20/0.55 # Backward-rewritten : 6
% 0.20/0.55 # Generated clauses : 2893
% 0.20/0.55 # ...of the previous two non-redundant : 2430
% 0.20/0.55 # ...aggressively subsumed : 0
% 0.20/0.55 # Contextual simplify-reflections : 0
% 0.20/0.55 # Paramodulations : 2893
% 0.20/0.55 # Factorizations : 0
% 0.20/0.55 # NegExts : 0
% 0.20/0.55 # Equation resolutions : 0
% 0.20/0.55 # Disequality decompositions : 0
% 0.20/0.55 # Total rewrite steps : 677
% 0.20/0.55 # ...of those cached : 576
% 0.20/0.55 # Propositional unsat checks : 0
% 0.20/0.55 # Propositional check models : 0
% 0.20/0.55 # Propositional check unsatisfiable : 0
% 0.20/0.55 # Propositional clauses : 0
% 0.20/0.55 # Propositional clauses after purity: 0
% 0.20/0.55 # Propositional unsat core size : 0
% 0.20/0.55 # Propositional preprocessing time : 0.000
% 0.20/0.55 # Propositional encoding time : 0.000
% 0.20/0.55 # Propositional solver time : 0.000
% 0.20/0.55 # Success case prop preproc time : 0.000
% 0.20/0.55 # Success case prop encoding time : 0.000
% 0.20/0.55 # Success case prop solver time : 0.000
% 0.20/0.55 # Current number of processed clauses : 206
% 0.20/0.55 # Positive orientable unit clauses : 64
% 0.20/0.55 # Positive unorientable unit clauses: 0
% 0.20/0.55 # Negative unit clauses : 25
% 0.20/0.55 # Non-unit-clauses : 117
% 0.20/0.55 # Current number of unprocessed clauses: 1914
% 0.20/0.55 # ...number of literals in the above : 5121
% 0.20/0.55 # Current number of archived formulas : 0
% 0.20/0.55 # Current number of archived clauses : 103
% 0.20/0.55 # Clause-clause subsumption calls (NU) : 5484
% 0.20/0.55 # Rec. Clause-clause subsumption calls : 2987
% 0.20/0.55 # Non-unit clause-clause subsumptions : 154
% 0.20/0.55 # Unit Clause-clause subsumption calls : 1067
% 0.20/0.55 # Rewrite failures with RHS unbound : 0
% 0.20/0.55 # BW rewrite match attempts : 313
% 0.20/0.55 # BW rewrite match successes : 12
% 0.20/0.55 # Condensation attempts : 0
% 0.20/0.55 # Condensation successes : 0
% 0.20/0.55 # Termbank termtop insertions : 36850
% 0.20/0.55 # Search garbage collected termcells : 54
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.047 s
% 0.20/0.55 # System time : 0.004 s
% 0.20/0.55 # Total time : 0.051 s
% 0.20/0.55 # Maximum resident set size: 1792 pages
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.047 s
% 0.20/0.55 # System time : 0.007 s
% 0.20/0.55 # Total time : 0.054 s
% 0.20/0.55 # Maximum resident set size: 1700 pages
% 0.20/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------