TSTP Solution File: KRS119+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 08:12:09 EDT 2024
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 126 ( 53 ~; 49 |; 16 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 63 ( 2 sgn 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( cp1(X4)
& ! [X5] :
( rinvR(X4,X5)
=> cp1xcomp(X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_5) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_9) ).
fof(axiom_10,axiom,
! [X4,X5,X8] :
( ( rr(X4,X5)
& rr(X5,X8) )
=> rr(X4,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_10) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Vx3(X4)
<=> ? [X5] :
( rr(X4,X5)
& ca_Ax2(X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_6) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cp1xcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_4) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& ca_Vx3(X5) )
& cp1(X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_2) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_44786),
file('/export/starexec/sandbox2/tmp/tmp.uoRwbmCvlX/E---3.1_24700.p',axiom_11) ).
fof(c_0_8,plain,
! [X71,X72,X73] :
( ( cp1(X71)
| ~ ca_Ax2(X71) )
& ( ~ rinvR(X71,X72)
| cp1xcomp(X72)
| ~ ca_Ax2(X71) )
& ( rinvR(X73,esk4_1(X73))
| ~ cp1(X73)
| ca_Ax2(X73) )
& ( ~ cp1xcomp(esk4_1(X73))
| ~ cp1(X73)
| ca_Ax2(X73) ) ),
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)],[axiom_5])])])])])])]) ).
fof(c_0_9,plain,
! [X84,X85] :
( ( ~ rinvR(X84,X85)
| rr(X85,X84) )
& ( ~ rr(X85,X84)
| rinvR(X84,X85) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).
fof(c_0_10,plain,
! [X86,X87,X88] :
( ~ rr(X86,X87)
| ~ rr(X87,X88)
| rr(X86,X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
fof(c_0_11,plain,
! [X75,X77,X78] :
( ( rr(X75,esk5_1(X75))
| ~ ca_Vx3(X75) )
& ( ca_Ax2(esk5_1(X75))
| ~ ca_Vx3(X75) )
& ( ~ rr(X77,X78)
| ~ ca_Ax2(X78)
| ca_Vx3(X77) ) ),
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)],[axiom_6])])])])])])]) ).
fof(c_0_12,plain,
! [X63,X64,X65] :
( ( ~ cp1(X63)
| ~ ra_Px1(X63,X64) )
& ( ra_Px1(X65,esk2_1(X65))
| cp1(X65) ) ),
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)],[axiom_3])])])])])]) ).
fof(c_0_13,plain,
! [X67,X69,X70] :
( ( ~ cp1xcomp(X67)
| ra_Px1(X67,esk3_1(X67)) )
& ( ~ ra_Px1(X69,X70)
| cp1xcomp(X69) ) ),
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)],[axiom_4])])])])])]) ).
cnf(c_0_14,plain,
( cp1xcomp(X2)
| ~ rinvR(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( rr(X1,X3)
| ~ rr(X1,X2)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( rr(X1,esk5_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ cp1(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ cp1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( cp1xcomp(X1)
| ~ rr(X1,X2)
| ~ ca_Ax2(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( ca_Ax2(esk5_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
( ca_Vx3(X1)
| ~ rr(X1,X2)
| ~ ca_Ax2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( rr(X1,esk5_1(X2))
| ~ rr(X1,X2)
| ~ ca_Vx3(X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_24,plain,
! [X59,X61,X62] :
( ( rr(X59,esk1_1(X59))
| ~ cUnsatisfiable(X59) )
& ( ca_Vx3(esk1_1(X59))
| ~ cUnsatisfiable(X59) )
& ( cp1(X59)
| ~ cUnsatisfiable(X59) )
& ( ~ rr(X61,X62)
| ~ ca_Vx3(X62)
| ~ cp1(X61)
| cUnsatisfiable(X61) ) ),
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)],[axiom_2])])])])])])]) ).
cnf(c_0_25,plain,
( ~ cp1xcomp(X1)
| ~ cp1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( cp1xcomp(X1)
| ~ ca_Vx3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_21]) ).
cnf(c_0_27,plain,
( ca_Vx3(X1)
| ~ rr(X1,X2)
| ~ ca_Vx3(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]) ).
cnf(c_0_28,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( ca_Vx3(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( ~ cp1(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( ca_Vx3(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
( cp1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
cUnsatisfiable(i2003_11_14_17_21_44786),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_34,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[c_0_33,c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 13:35:19 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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.uoRwbmCvlX/E---3.1_24700.p
% 0.14/0.41 # Version: 3.1.0
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 24779 completed with status 0
% 0.14/0.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.41 # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41 # Starting sh5l with 136s (1) cores
% 0.14/0.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 24797 completed with status 0
% 0.14/0.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.41 # Preprocessing time : 0.001 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Unsatisfiable
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 31
% 0.14/0.41 # Removed by relevancy pruning/SinE : 0
% 0.14/0.41 # Initial clauses : 45
% 0.14/0.41 # Removed in clause preprocessing : 20
% 0.14/0.41 # Initial clauses in saturation : 25
% 0.14/0.41 # Processed clauses : 70
% 0.14/0.41 # ...of these trivial : 0
% 0.14/0.41 # ...subsumed : 1
% 0.14/0.41 # ...remaining for further processing : 69
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 7
% 0.14/0.41 # Backward-rewritten : 0
% 0.14/0.41 # Generated clauses : 46
% 0.14/0.41 # ...of the previous two non-redundant : 33
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 4
% 0.14/0.41 # Paramodulations : 45
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Disequality decompositions : 0
% 0.14/0.41 # Total rewrite steps : 0
% 0.14/0.41 # ...of those cached : 0
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 36
% 0.14/0.41 # Positive orientable unit clauses : 1
% 0.14/0.41 # Positive unorientable unit clauses: 0
% 0.14/0.41 # Negative unit clauses : 2
% 0.14/0.41 # Non-unit-clauses : 33
% 0.14/0.41 # Current number of unprocessed clauses: 13
% 0.14/0.41 # ...number of literals in the above : 45
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 34
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 311
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 233
% 0.14/0.41 # Non-unit clause-clause subsumptions : 6
% 0.14/0.41 # Unit Clause-clause subsumption calls : 8
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 0
% 0.14/0.41 # BW rewrite match successes : 0
% 0.14/0.41 # Condensation attempts : 0
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 3440
% 0.14/0.41 # Search garbage collected termcells : 751
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.005 s
% 0.14/0.41 # System time : 0.004 s
% 0.14/0.41 # Total time : 0.009 s
% 0.14/0.41 # Maximum resident set size: 1884 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.023 s
% 0.14/0.41 # System time : 0.008 s
% 0.14/0.41 # Total time : 0.030 s
% 0.14/0.41 # Maximum resident set size: 1724 pages
% 0.14/0.41 % E---3.1 exiting
% 0.14/0.42 % E exiting
%------------------------------------------------------------------------------