TSTP Solution File: GEO523+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO523+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : Sat Jul 16 04:06:08 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 87 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 77 ( 29 ~; 42 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 7 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz10_4,conjecture,
! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_4) ).
fof(aSatz10_2a,axiom,
! [X12,X15,X13] :
( ( X12 = X15
| s_col(X12,X15,midpoint(X13,reflect(X12,X15,X13))) )
& ( X12 = X15
| X13 = reflect(X12,X15,X13)
| perp(X12,X15,X13,reflect(X12,X15,X13)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_2a) ).
fof(aSatz7_18,axiom,
! [X12,X13,X15] :
( s(X12,X13) != s(X15,X13)
| X12 = X15 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz7_18) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz7_7) ).
fof(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz7_6) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz8_22) ).
fof(aExtPerp4,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aExtPerp4) ).
fof(aSatz10_2b,axiom,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_2b) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
inference(assume_negation,[status(cth)],[aSatz10_4]) ).
fof(c_0_9,plain,
! [X16,X17,X18,X16,X17,X18] :
( ( X16 = X17
| s_col(X16,X17,midpoint(X18,reflect(X16,X17,X18))) )
& ( X16 = X17
| X18 = reflect(X16,X17,X18)
| perp(X16,X17,X18,reflect(X16,X17,X18)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[aSatz10_2a])])]) ).
fof(c_0_10,negated_conjecture,
( esk1_0 != esk2_0
& reflect(esk1_0,esk2_0,esk3_0) = esk4_0
& reflect(esk1_0,esk2_0,esk4_0) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X16,X17,X18] :
( s(X16,X17) != s(X18,X17)
| X16 = X18 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
fof(c_0_12,plain,
! [X14,X15] : s(X14,s(X14,X15)) = X15,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_13,plain,
! [X17,X18,X19] :
( ~ s_m(X17,X18,X19)
| X19 = s(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz7_6])]) ).
fof(c_0_14,plain,
! [X16,X17] : s_m(X16,midpoint(X16,X17),X17),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_15,plain,
! [X17,X18,X19,X20] :
( ~ perp(X17,X18,X19,X20)
| perp(X17,X18,X20,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aExtPerp4])]) ).
cnf(c_0_16,plain,
( perp(X1,X2,X3,reflect(X1,X2,X3))
| X3 = reflect(X1,X2,X3)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( X1 = X2
| s(X1,X3) != s(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( X1 = s(X2,X3)
| ~ s_m(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X38,X39,X40,X41,X38,X39,X40,X41] :
( ( X38 = X39
| ~ s_col(X38,X39,midpoint(X40,X41))
| ~ perp(X38,X39,X40,X41)
| X41 = reflect(X38,X39,X40) )
& ( X38 = X39
| ~ s_col(X38,X39,midpoint(X40,X41))
| X40 != X41
| X41 = reflect(X38,X39,X40) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz10_2b])])])]) ).
cnf(c_0_24,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_26,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( X1 = reflect(X2,X3,X4)
| X2 = X3
| ~ perp(X2,X3,X4,X1)
| ~ s_col(X2,X3,midpoint(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_32,negated_conjecture,
( esk4_0 = esk3_0
| ~ s_col(esk1_0,esk2_0,midpoint(esk4_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_18]) ).
cnf(c_0_33,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_34,plain,
( s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3)))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
( esk4_0 = esk3_0
| ~ s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)) ),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_17]),c_0_18]) ).
cnf(c_0_37,negated_conjecture,
esk4_0 = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_37]),c_0_17]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO523+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.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 : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:21:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.034 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 : 39
% 0.24/1.42 # Proof object clause steps : 22
% 0.24/1.42 # Proof object formula steps : 17
% 0.24/1.42 # Proof object conjectures : 13
% 0.24/1.42 # Proof object clause conjectures : 10
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 11
% 0.24/1.42 # Proof object initial formulas used : 8
% 0.24/1.42 # Proof object generating inferences : 8
% 0.24/1.42 # Proof object simplifying inferences : 12
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 201
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 294
% 0.24/1.42 # Removed in clause preprocessing : 1
% 0.24/1.42 # Initial clauses in saturation : 293
% 0.24/1.42 # Processed clauses : 458
% 0.24/1.42 # ...of these trivial : 8
% 0.24/1.42 # ...subsumed : 92
% 0.24/1.42 # ...remaining for further processing : 358
% 0.24/1.42 # Other redundant clauses eliminated : 40
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 47
% 0.24/1.42 # Generated clauses : 1633
% 0.24/1.42 # ...of the previous two non-trivial : 1407
% 0.24/1.42 # Contextual simplify-reflections : 24
% 0.24/1.42 # Paramodulations : 1582
% 0.24/1.42 # Factorizations : 2
% 0.24/1.42 # Equation resolutions : 49
% 0.24/1.42 # Current number of processed clauses : 297
% 0.24/1.42 # Positive orientable unit clauses : 30
% 0.24/1.42 # Positive unorientable unit clauses: 1
% 0.24/1.42 # Negative unit clauses : 10
% 0.24/1.42 # Non-unit-clauses : 256
% 0.24/1.42 # Current number of unprocessed clauses: 1129
% 0.24/1.42 # ...number of literals in the above : 4631
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 48
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 29015
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 11562
% 0.24/1.42 # Non-unit clause-clause subsumptions : 109
% 0.24/1.42 # Unit Clause-clause subsumption calls : 757
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 223
% 0.24/1.42 # BW rewrite match successes : 24
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 40913
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.081 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.087 s
% 0.24/1.42 # Maximum resident set size: 5716 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------