TSTP Solution File: NUM855+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : 600s
% DateTime : Mon Jul 18 09:37:12 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 25 unt; 0 def)
% Number of atoms : 74 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 24 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 4 sgn 33 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(33, 0), 0)',axiom,
! [X98,X99,X100] : vplus(vplus(X98,X99),X100) = vplus(X98,vplus(X99,X100)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(33, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X81,X82] :
( greater(X82,X81)
<=> ? [X83] : X82 = vplus(X81,X83) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X53,X54] : greater(vplus(X53,X54),X53),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(189, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X76,X77] :
( ~ greater(X76,X77)
| ~ less(X76,X77) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X74,X75] :
( greater(X74,X75)
=> less(X75,X74) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(140, 0), 0)') ).
fof('holds(conjunct1(315), 514, 0)',axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct1(315), 514, 0)') ).
fof('holds(conjunct2(315), 515, 0)',axiom,
vmul(vd509,vd511) = vmul(vd511,vd509),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct2(315), 515, 0)') ).
fof('holds(conseq_conjunct2(315), 516, 0)',conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct2(315), 516, 0)') ).
fof('holds(conjunct2(315), 515, 1)',axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct2(315), 515, 1)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X72,X73] :
( less(X72,X73)
=> greater(X73,X72) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X76,X77] :
( X76 = X77
| greater(X76,X77)
| less(X76,X77) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(130), 0), 0)') ).
fof('holds(conjunct2(315), 515, 2)',axiom,
vmul(vd512,vd509) = vmul(vd509,vd512),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct2(315), 515, 2)') ).
fof(c_0_12,plain,
! [X101,X102,X103] : vplus(vplus(X101,X102),X103) = vplus(X101,vplus(X102,X103)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
fof(c_0_13,plain,
! [X84,X85,X84,X85,X87] :
( ( ~ greater(X85,X84)
| X85 = vplus(X84,esk1_2(X84,X85)) )
& ( X85 != vplus(X84,X87)
| greater(X85,X84) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])])]) ).
fof(c_0_14,plain,
! [X55,X56] : greater(vplus(X55,X56),X55),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
cnf(c_0_15,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( X1 = vplus(X2,esk1_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X78,X79] :
( ~ greater(X78,X79)
| ~ less(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)'])]) ).
fof(c_0_18,plain,
! [X76,X77] :
( ~ greater(X76,X77)
| less(X77,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
cnf(c_0_19,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( vplus(X1,vplus(X2,esk1_2(vplus(X1,X2),X3))) = X3
| ~ greater(X3,vplus(X1,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( less(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(split_conjunct,[status(thm)],['holds(conjunct1(315), 514, 0)']) ).
cnf(c_0_24,plain,
vmul(vd509,vd511) = vmul(vd511,vd509),
inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 0)']) ).
cnf(c_0_25,plain,
( greater(X1,X2)
| ~ greater(X1,vplus(X2,X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_26,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(assume_negation,[status(cth)],['holds(conseq_conjunct2(315), 516, 0)']) ).
cnf(c_0_27,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
greater(vmul(vd508,vd511),vmul(vd511,vd509)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( greater(X1,X2)
| ~ greater(X1,X3)
| ~ greater(X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_30,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 1)']) ).
fof(c_0_31,plain,
! [X74,X75] :
( ~ less(X74,X75)
| greater(X75,X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(c_0_32,plain,
! [X78,X79] :
( X78 = X79
| greater(X78,X79)
| less(X78,X79) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(c_0_33,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
~ greater(vmul(vd511,vd509),vmul(vd508,vd511)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( greater(vmul(vd511,vd509),X1)
| ~ greater(vmul(vd512,vd509),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( greater(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( less(X1,X2)
| greater(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
vmul(vd512,vd509) = vmul(vd509,vd512),
inference(split_conjunct,[status(thm)],['holds(conjunct2(315), 515, 2)']) ).
cnf(c_0_40,plain,
~ greater(vmul(vd512,vd509),vmul(vd508,vd511)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd512,vd509)),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
~ greater(vmul(vd512,vd509),vmul(vd511,vd509)),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_44,plain,
vmul(vd512,vd509) = vmul(vd508,vd511),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.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 : 600
% 0.13/0.34 % DateTime : Thu Jul 7 03:16:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 46
% 0.24/1.42 # Proof object clause steps : 25
% 0.24/1.42 # Proof object formula steps : 21
% 0.24/1.42 # Proof object conjectures : 5
% 0.24/1.42 # Proof object clause conjectures : 2
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 12
% 0.24/1.42 # Proof object initial formulas used : 12
% 0.24/1.42 # Proof object generating inferences : 10
% 0.24/1.42 # Proof object simplifying inferences : 6
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 63
% 0.24/1.42 # Removed by relevancy pruning/SinE : 22
% 0.24/1.42 # Initial clauses : 43
% 0.24/1.42 # Removed in clause preprocessing : 2
% 0.24/1.42 # Initial clauses in saturation : 41
% 0.24/1.42 # Processed clauses : 287
% 0.24/1.42 # ...of these trivial : 11
% 0.24/1.42 # ...subsumed : 149
% 0.24/1.42 # ...remaining for further processing : 127
% 0.24/1.42 # Other redundant clauses eliminated : 29
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 11
% 0.24/1.42 # Generated clauses : 2310
% 0.24/1.42 # ...of the previous two non-trivial : 2094
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 2265
% 0.24/1.42 # Factorizations : 2
% 0.24/1.42 # Equation resolutions : 43
% 0.24/1.42 # Current number of processed clauses : 112
% 0.24/1.42 # Positive orientable unit clauses : 16
% 0.24/1.42 # Positive unorientable unit clauses: 7
% 0.24/1.42 # Negative unit clauses : 13
% 0.24/1.42 # Non-unit-clauses : 76
% 0.24/1.42 # Current number of unprocessed clauses: 1816
% 0.24/1.42 # ...number of literals in the above : 3615
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 11
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 845
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 843
% 0.24/1.42 # Non-unit clause-clause subsumptions : 83
% 0.24/1.42 # Unit Clause-clause subsumption calls : 101
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 63
% 0.24/1.42 # BW rewrite match successes : 52
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 20834
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.048 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.053 s
% 0.24/1.42 # Maximum resident set size: 4656 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------