TSTP Solution File: NUM848+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : Tue May 21 01:17:32 EDT 2024
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(286, 441, 4)',conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X79,X80] :
( vplus(X79,vsucc(X80)) = vsucc(vplus(X79,X80))
& vplus(X79,v1) = vsucc(X79) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('holds(286, 441, 3)',axiom,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 3)') ).
fof('holds(285, 440, 0)',axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X71,X72] : vplus(X72,X71) = vplus(X71,X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X6,X7] :
( vmul(X6,vsucc(X7)) = vplus(vmul(X6,X7),X6)
& vmul(X6,v1) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(c_0_6,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 4)'])]) ).
fof(c_0_7,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X128,X129] :
( vplus(X128,vsucc(X129)) = vsucc(vplus(X128,X129))
& vplus(X128,v1) = vsucc(X128) ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).
cnf(c_0_9,plain,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
inference(split_conjunct,[status(thm)],['holds(286, 441, 3)']) ).
cnf(c_0_10,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(split_conjunct,[status(thm)],['holds(285, 440, 0)']) ).
cnf(c_0_11,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X113,X114] : vplus(X114,X113) = vplus(X113,X114),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_15,plain,
! [X123,X124] :
( vmul(X123,vsucc(X124)) = vplus(vmul(X123,X124),X123)
& vmul(X123,v1) = X123 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
cnf(c_0_16,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
vmul(X1,vplus(X2,v1)) = vplus(X1,vmul(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_12]),c_0_17]) ).
cnf(c_0_21,plain,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) = vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n022.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 : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 06:43:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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/benchmark/theBenchmark.p
% 0.18/0.47 # Version: 3.1.0
% 0.18/0.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # new_bool_3 with pid 13451 completed with status 0
% 0.18/0.47 # Result found by new_bool_3
% 0.18/0.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 # Search class: FGHPM-FFMM21-MFFFFFNN
% 0.18/0.47 # partial match(1): FGHSM-FFMM21-MFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.18/0.47 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 13454 completed with status 0
% 0.18/0.47 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.18/0.47 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 # Search class: FGHPM-FFMM21-MFFFFFNN
% 0.18/0.47 # partial match(1): FGHSM-FFMM21-MFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.18/0.47 # Preprocessing time : 0.001 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 57
% 0.18/0.47 # Removed by relevancy pruning/SinE : 27
% 0.18/0.47 # Initial clauses : 32
% 0.18/0.47 # Removed in clause preprocessing : 1
% 0.18/0.47 # Initial clauses in saturation : 31
% 0.18/0.47 # Processed clauses : 43
% 0.18/0.47 # ...of these trivial : 4
% 0.18/0.47 # ...subsumed : 5
% 0.18/0.47 # ...remaining for further processing : 34
% 0.18/0.47 # Other redundant clauses eliminated : 3
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 2
% 0.18/0.47 # Backward-rewritten : 14
% 0.18/0.47 # Generated clauses : 3
% 0.18/0.47 # ...of the previous two non-redundant : 14
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 0
% 0.18/0.47 # Paramodulations : 0
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 3
% 0.18/0.47 # Disequality decompositions : 0
% 0.18/0.47 # Total rewrite steps : 38
% 0.18/0.47 # ...of those cached : 12
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 15
% 0.18/0.47 # Positive orientable unit clauses : 8
% 0.18/0.47 # Positive unorientable unit clauses: 3
% 0.18/0.47 # Negative unit clauses : 2
% 0.18/0.47 # Non-unit-clauses : 2
% 0.18/0.47 # Current number of unprocessed clauses: 2
% 0.18/0.47 # ...number of literals in the above : 4
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 16
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 5
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 4
% 0.18/0.47 # Non-unit clause-clause subsumptions : 2
% 0.18/0.47 # Unit Clause-clause subsumption calls : 15
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 62
% 0.18/0.47 # BW rewrite match successes : 60
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 1752
% 0.18/0.47 # Search garbage collected termcells : 405
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.004 s
% 0.18/0.47 # System time : 0.001 s
% 0.18/0.47 # Total time : 0.005 s
% 0.18/0.47 # Maximum resident set size: 1896 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.005 s
% 0.18/0.47 # System time : 0.003 s
% 0.18/0.47 # Total time : 0.008 s
% 0.18/0.47 # Maximum resident set size: 1788 pages
% 0.18/0.47 % E---3.1 exiting
% 0.18/0.47 % E exiting
%------------------------------------------------------------------------------