TSTP Solution File: GRP012+5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP012+5 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : Mon May 20 20:43:37 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 102 ( 33 ~; 30 |; 31 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_distribution,conjecture,
! [X1] :
( ( ! [X2,X3] :
? [X4] : product(X2,X3,X4)
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X5,X4,X7) )
=> product(X2,X6,X7) )
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X2,X6,X7) )
=> product(X5,X4,X7) )
& ! [X2] : product(X2,X1,X2)
& ! [X2] : product(X1,X2,X2)
& ! [X2] : product(X2,inverse(X2),X1)
& ! [X2] : product(inverse(X2),X2,X1) )
=> ! [X5,X6,X7,X2] :
( ( product(inverse(X5),inverse(X6),X7)
& product(X6,X5,X2) )
=> product(inverse(X7),inverse(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ! [X2,X3] :
? [X4] : product(X2,X3,X4)
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X5,X4,X7) )
=> product(X2,X6,X7) )
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X2,X6,X7) )
=> product(X5,X4,X7) )
& ! [X2] : product(X2,X1,X2)
& ! [X2] : product(X1,X2,X2)
& ! [X2] : product(X2,inverse(X2),X1)
& ! [X2] : product(inverse(X2),X2,X1) )
=> ! [X5,X6,X7,X2] :
( ( product(inverse(X5),inverse(X6),X7)
& product(X6,X5,X2) )
=> product(inverse(X7),inverse(X2),X1) ) ),
inference(assume_negation,[status(cth)],[prove_distribution]) ).
fof(c_0_2,negated_conjecture,
! [X9,X10,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( product(X9,X10,esk2_2(X9,X10))
& ( ~ product(X12,X13,X15)
| ~ product(X13,X14,X16)
| ~ product(X15,X14,X17)
| product(X12,X16,X17) )
& ( ~ product(X18,X19,X21)
| ~ product(X19,X20,X22)
| ~ product(X18,X22,X23)
| product(X21,X20,X23) )
& product(X24,esk1_0,X24)
& product(esk1_0,X25,X25)
& product(X26,inverse(X26),esk1_0)
& product(inverse(X27),X27,esk1_0)
& product(inverse(esk3_0),inverse(esk4_0),esk5_0)
& product(esk4_0,esk3_0,esk6_0)
& ~ product(inverse(esk5_0),inverse(esk6_0),esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
product(X1,esk1_0,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
product(inverse(X1),X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( product(X1,esk1_0,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
product(esk4_0,esk3_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,inverse(X2),X1)
| ~ product(X4,esk1_0,X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
product(inverse(esk3_0),inverse(esk4_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( product(X1,esk1_0,esk6_0)
| ~ product(esk4_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
product(X1,X2,esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( product(esk5_0,esk4_0,X1)
| ~ product(inverse(esk3_0),esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,esk1_0,X2)
| ~ product(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_15,negated_conjecture,
product(esk2_2(esk4_0,esk3_0),esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( product(X1,X2,esk1_0)
| ~ product(X1,X3,inverse(X4))
| ~ product(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_17,negated_conjecture,
product(esk5_0,esk4_0,inverse(esk3_0)),
inference(spm,[status(thm)],[c_0_13,c_0_4]) ).
cnf(c_0_18,negated_conjecture,
product(esk1_0,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( product(X1,esk6_0,X2)
| ~ product(X1,esk2_2(esk4_0,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( product(esk5_0,X1,esk1_0)
| ~ product(esk4_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X1,X4,esk1_0)
| ~ product(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
product(esk5_0,esk6_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
( product(X1,esk1_0,X2)
| ~ product(X2,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( product(esk5_0,X1,X2)
| ~ product(esk6_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( product(X1,esk1_0,esk5_0)
| ~ product(esk6_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
product(X1,inverse(X1),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
product(inverse(esk6_0),esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ product(inverse(esk5_0),inverse(esk6_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( product(inverse(X1),X2,X3)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_5]) ).
cnf(c_0_30,negated_conjecture,
product(esk5_0,esk1_0,inverse(esk6_0)),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP012+5 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.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 : Sun May 19 06:14:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.21/0.55 # Version: 3.1.0
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55 # Starting sh5l with 300s (1) cores
% 0.21/0.55 # new_bool_3 with pid 31046 completed with status 0
% 0.21/0.55 # Result found by new_bool_3
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 # Search class: FHUNM-FFSF21-SFFFFFNN
% 0.21/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55 # SAT001_MinMin_p005000_rr_RG with pid 31049 completed with status 0
% 0.21/0.55 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 # Search class: FHUNM-FFSF21-SFFFFFNN
% 0.21/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55 # Preprocessing time : 0.001 s
% 0.21/0.55 # Presaturation interreduction done
% 0.21/0.55
% 0.21/0.55 # Proof found!
% 0.21/0.55 # SZS status Theorem
% 0.21/0.55 # SZS output start CNFRefutation
% See solution above
% 0.21/0.55 # Parsed axioms : 1
% 0.21/0.55 # Removed by relevancy pruning/SinE : 0
% 0.21/0.55 # Initial clauses : 10
% 0.21/0.55 # Removed in clause preprocessing : 0
% 0.21/0.55 # Initial clauses in saturation : 10
% 0.21/0.55 # Processed clauses : 347
% 0.21/0.55 # ...of these trivial : 33
% 0.21/0.55 # ...subsumed : 47
% 0.21/0.55 # ...remaining for further processing : 267
% 0.21/0.55 # Other redundant clauses eliminated : 0
% 0.21/0.55 # Clauses deleted for lack of memory : 0
% 0.21/0.55 # Backward-subsumed : 1
% 0.21/0.55 # Backward-rewritten : 1
% 0.21/0.55 # Generated clauses : 2135
% 0.21/0.55 # ...of the previous two non-redundant : 1742
% 0.21/0.55 # ...aggressively subsumed : 0
% 0.21/0.55 # Contextual simplify-reflections : 0
% 0.21/0.55 # Paramodulations : 2135
% 0.21/0.55 # Factorizations : 0
% 0.21/0.55 # NegExts : 0
% 0.21/0.55 # Equation resolutions : 0
% 0.21/0.55 # Disequality decompositions : 0
% 0.21/0.55 # Total rewrite steps : 435
% 0.21/0.55 # ...of those cached : 335
% 0.21/0.55 # Propositional unsat checks : 0
% 0.21/0.55 # Propositional check models : 0
% 0.21/0.55 # Propositional check unsatisfiable : 0
% 0.21/0.55 # Propositional clauses : 0
% 0.21/0.55 # Propositional clauses after purity: 0
% 0.21/0.55 # Propositional unsat core size : 0
% 0.21/0.55 # Propositional preprocessing time : 0.000
% 0.21/0.55 # Propositional encoding time : 0.000
% 0.21/0.55 # Propositional solver time : 0.000
% 0.21/0.55 # Success case prop preproc time : 0.000
% 0.21/0.55 # Success case prop encoding time : 0.000
% 0.21/0.55 # Success case prop solver time : 0.000
% 0.21/0.55 # Current number of processed clauses : 255
% 0.21/0.55 # Positive orientable unit clauses : 106
% 0.21/0.55 # Positive unorientable unit clauses: 0
% 0.21/0.55 # Negative unit clauses : 1
% 0.21/0.55 # Non-unit-clauses : 148
% 0.21/0.55 # Current number of unprocessed clauses: 1357
% 0.21/0.55 # ...number of literals in the above : 3050
% 0.21/0.55 # Current number of archived formulas : 0
% 0.21/0.55 # Current number of archived clauses : 12
% 0.21/0.55 # Clause-clause subsumption calls (NU) : 2332
% 0.21/0.55 # Rec. Clause-clause subsumption calls : 2215
% 0.21/0.55 # Non-unit clause-clause subsumptions : 48
% 0.21/0.55 # Unit Clause-clause subsumption calls : 8
% 0.21/0.55 # Rewrite failures with RHS unbound : 0
% 0.21/0.55 # BW rewrite match attempts : 221
% 0.21/0.55 # BW rewrite match successes : 1
% 0.21/0.55 # Condensation attempts : 0
% 0.21/0.55 # Condensation successes : 0
% 0.21/0.55 # Termbank termtop insertions : 24500
% 0.21/0.55 # Search garbage collected termcells : 355
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.034 s
% 0.21/0.55 # System time : 0.005 s
% 0.21/0.55 # Total time : 0.039 s
% 0.21/0.55 # Maximum resident set size: 1756 pages
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.034 s
% 0.21/0.55 # System time : 0.008 s
% 0.21/0.55 # Total time : 0.042 s
% 0.21/0.55 # Maximum resident set size: 1692 pages
% 0.21/0.55 % E---3.1 exiting
% 0.67/0.56 % E exiting
%------------------------------------------------------------------------------