TSTP Solution File: KRS077+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 08:12:56 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 121 ( 8 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 156 ( 58 ~; 66 |; 24 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 48 ( 1 sgn 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5,X6] :
( ( rr(X4,X5)
& rr(X4,X6) )
=> X5 = X6 )
& ? [X7] :
( rr(X4,X7)
& ! [X8] :
( rinvS(X7,X8)
=> cp(X8) ) )
& ~ cp(X4)
& ? [X7] :
( rs(X4,X7)
& cp(X7) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.KwIaP9thiR/E---3.1_23756.p',axiom_2) ).
fof(axiom_5,axiom,
! [X4,X7] :
( rs(X4,X7)
=> rr(X4,X7) ),
file('/export/starexec/sandbox/tmp/tmp.KwIaP9thiR/E---3.1_23756.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4,X7] :
( rinvS(X4,X7)
<=> rs(X7,X4) ),
file('/export/starexec/sandbox/tmp/tmp.KwIaP9thiR/E---3.1_23756.p',axiom_3) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/tmp/tmp.KwIaP9thiR/E---3.1_23756.p',axiom_4) ).
fof(c_0_4,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5,X6] :
( ( rr(X4,X5)
& rr(X4,X6) )
=> X5 = X6 )
& ? [X7] :
( rr(X4,X7)
& ! [X8] :
( rinvS(X7,X8)
=> cp(X8) ) )
& ~ cp(X4)
& ? [X7] :
( rs(X4,X7)
& cp(X7) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_5,plain,
! [X41,X42,X43,X45,X47,X50,X52] :
( ( ~ rr(X41,X42)
| ~ rr(X41,X43)
| X42 = X43
| ~ cUnsatisfiable(X41) )
& ( rr(X41,esk1_1(X41))
| ~ cUnsatisfiable(X41) )
& ( ~ rinvS(esk1_1(X41),X45)
| cp(X45)
| ~ cUnsatisfiable(X41) )
& ( ~ cp(X41)
| ~ cUnsatisfiable(X41) )
& ( rs(X41,esk2_1(X41))
| ~ cUnsatisfiable(X41) )
& ( cp(esk2_1(X41))
| ~ cUnsatisfiable(X41) )
& ( rinvS(X50,esk5_2(X47,X50))
| ~ rr(X47,X50)
| rr(X47,esk3_1(X47))
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) )
& ( ~ cp(esk5_2(X47,X50))
| ~ rr(X47,X50)
| rr(X47,esk3_1(X47))
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) )
& ( rinvS(X50,esk5_2(X47,X50))
| ~ rr(X47,X50)
| rr(X47,esk4_1(X47))
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) )
& ( ~ cp(esk5_2(X47,X50))
| ~ rr(X47,X50)
| rr(X47,esk4_1(X47))
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) )
& ( rinvS(X50,esk5_2(X47,X50))
| ~ rr(X47,X50)
| esk3_1(X47) != esk4_1(X47)
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) )
& ( ~ cp(esk5_2(X47,X50))
| ~ rr(X47,X50)
| esk3_1(X47) != esk4_1(X47)
| cp(X47)
| ~ rs(X47,X52)
| ~ cp(X52)
| cUnsatisfiable(X47) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X55,X56] :
( ~ rs(X55,X56)
| rr(X55,X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
fof(c_0_7,plain,
! [X53,X54] :
( ( ~ rinvS(X53,X54)
| rs(X54,X53) )
& ( ~ rs(X54,X53)
| rinvS(X53,X54) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_8,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( rr(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( rs(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( cp(X2)
| ~ rinvS(esk1_1(X1),X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( X1 = esk1_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( cp(X1)
| ~ rs(X1,esk1_1(X2))
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( esk1_1(X1) = esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( cp(X1)
| ~ rs(X1,esk2_1(X2))
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
( ~ cp(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(split_conjunct,[status(thm)],[axiom_4]) ).
cnf(c_0_21,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_19]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 13:35:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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/tmp/tmp.KwIaP9thiR/E---3.1_23756.p
% 0.19/0.50 # Version: 3.1.0
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23851 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.50 # Starting sh5l with 136s (1) cores
% 0.19/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23870 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 # Preprocessing time : 0.002 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Unsatisfiable
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 18
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 32
% 0.19/0.50 # Removed in clause preprocessing : 13
% 0.19/0.50 # Initial clauses in saturation : 19
% 0.19/0.50 # Processed clauses : 49
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 2
% 0.19/0.50 # ...remaining for further processing : 47
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 13
% 0.19/0.50 # Backward-rewritten : 0
% 0.19/0.50 # Generated clauses : 18
% 0.19/0.50 # ...of the previous two non-redundant : 12
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 1
% 0.19/0.50 # Paramodulations : 17
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 0
% 0.19/0.50 # ...of those cached : 0
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 14
% 0.19/0.50 # Positive orientable unit clauses : 0
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 3
% 0.19/0.50 # Non-unit-clauses : 11
% 0.19/0.50 # Current number of unprocessed clauses: 1
% 0.19/0.50 # ...number of literals in the above : 3
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 34
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 441
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 196
% 0.19/0.50 # Non-unit clause-clause subsumptions : 3
% 0.19/0.50 # Unit Clause-clause subsumption calls : 14
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 0
% 0.19/0.50 # BW rewrite match successes : 0
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 2581
% 0.19/0.50 # Search garbage collected termcells : 540
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.012 s
% 0.19/0.50 # System time : 0.004 s
% 0.19/0.50 # Total time : 0.016 s
% 0.19/0.50 # Maximum resident set size: 1800 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.039 s
% 0.19/0.50 # System time : 0.012 s
% 0.19/0.50 # Total time : 0.050 s
% 0.19/0.50 # Maximum resident set size: 1716 pages
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------