TSTP Solution File: GEO526+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 18 unt; 0 def)
% Number of atoms : 93 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 47 ~; 44 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 91 ( 3 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz10_12c,conjecture,
! [X12,X15,X14,X20,X22] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X22)
| ~ s_e(X12,X15,X20,X15)
| ~ s_e(X15,X14,X15,X22)
| s_e(X12,X14,X20,X22)
| X15 != midpoint(X14,X22)
| X14 = X22 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz10_12c) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz8_22) ).
fof(d_Defn8_1,axiom,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d_Defn8_1) ).
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',aSatz7_6) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz2_2) ).
fof(aSatz10_12b,axiom,
! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_e(X12,X15,X20,X15)
| s_e(X12,X14,X20,X14) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz10_12b) ).
fof(aSatz8_4,axiom,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X12,X15,s(X15,X14)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aSatz8_4) ).
fof(aA2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X15,X14,X20,X22] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X22)
| ~ s_e(X12,X15,X20,X15)
| ~ s_e(X15,X14,X15,X22)
| s_e(X12,X14,X20,X22)
| X15 != midpoint(X14,X22)
| X14 = X22 ),
inference(assume_negation,[status(cth)],[aSatz10_12c]) ).
fof(c_0_9,plain,
! [X16,X17] : s_m(X16,midpoint(X16,X17),X17),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_10,negated_conjecture,
( s_r(esk1_0,esk2_0,esk3_0)
& s_r(esk4_0,esk2_0,esk5_0)
& s_e(esk1_0,esk2_0,esk4_0,esk2_0)
& s_e(esk2_0,esk3_0,esk2_0,esk5_0)
& ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0)
& esk2_0 = midpoint(esk3_0,esk5_0)
& esk3_0 != esk5_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])]) ).
fof(c_0_11,plain,
! [X16,X17,X18,X16,X17,X18] :
( ( ~ s_r(X16,X17,X18)
| s_e(X16,X18,X16,s(X17,X18)) )
& ( s_r(X16,X17,X18)
| ~ s_e(X16,X18,X16,s(X17,X18)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn8_1])])])]) ).
fof(c_0_12,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])]) ).
cnf(c_0_13,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
esk2_0 = midpoint(esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X18,X19,X20,X21] :
( ~ s_e(X18,X19,X20,X21)
| s_e(X20,X21,X18,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_2])]) ).
cnf(c_0_16,plain,
( s_e(X1,X2,X1,s(X3,X2))
| ~ s_r(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
s_r(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,plain,
! [X21,X22,X23,X24] :
( ~ s_r(X21,X22,X23)
| ~ s_r(X24,X22,X23)
| ~ s_e(X21,X22,X24,X22)
| s_e(X21,X23,X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz10_12b])]) ).
cnf(c_0_19,plain,
( X1 = s(X2,X3)
| ~ s_m(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
s_m(esk3_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_21,plain,
! [X16,X17,X18] :
( ~ s_r(X16,X17,X18)
| s_r(X16,X17,s(X17,X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz8_4])]) ).
fof(c_0_22,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ s_e(X7,X8,X9,X10)
| ~ s_e(X7,X8,X11,X12)
| s_e(X9,X10,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA2])]) ).
cnf(c_0_23,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
s_e(esk1_0,esk3_0,esk1_0,s(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
( s_e(X1,X2,X3,X2)
| ~ s_e(X1,X4,X3,X4)
| ~ s_r(X3,X4,X2)
| ~ s_r(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
s_e(esk1_0,esk2_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
s_r(esk4_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
esk5_0 = s(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
( s_r(X1,X2,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X5,X6,X3,X4)
| ~ s_e(X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
s_e(esk1_0,s(esk2_0,esk3_0),esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( s_e(esk1_0,X1,esk4_0,X1)
| ~ s_r(esk4_0,esk2_0,X1)
| ~ s_r(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
s_r(esk4_0,esk2_0,s(esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
s_r(esk1_0,esk2_0,s(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( s_e(X1,X2,esk1_0,esk3_0)
| ~ s_e(esk1_0,s(esk2_0,esk3_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
s_e(esk1_0,s(esk2_0,esk3_0),esk4_0,s(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_37,negated_conjecture,
~ s_e(esk1_0,esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
s_e(esk4_0,s(esk2_0,esk3_0),esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
~ s_e(esk1_0,esk3_0,esk4_0,s(esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n011.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 : Sat Jun 18 09:43:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/1.44 # Preprocessing time : 0.026 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 41
% 0.26/1.44 # Proof object clause steps : 24
% 0.26/1.44 # Proof object formula steps : 17
% 0.26/1.44 # Proof object conjectures : 20
% 0.26/1.44 # Proof object clause conjectures : 17
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 12
% 0.26/1.44 # Proof object initial formulas used : 8
% 0.26/1.44 # Proof object generating inferences : 10
% 0.26/1.44 # Proof object simplifying inferences : 5
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 210
% 0.26/1.44 # Removed by relevancy pruning/SinE : 100
% 0.26/1.44 # Initial clauses : 125
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 125
% 0.26/1.44 # Processed clauses : 2159
% 0.26/1.44 # ...of these trivial : 329
% 0.26/1.44 # ...subsumed : 597
% 0.26/1.44 # ...remaining for further processing : 1233
% 0.26/1.44 # Other redundant clauses eliminated : 56
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 2
% 0.26/1.44 # Backward-rewritten : 26
% 0.26/1.44 # Generated clauses : 12228
% 0.26/1.44 # ...of the previous two non-trivial : 10036
% 0.26/1.44 # Contextual simplify-reflections : 44
% 0.26/1.44 # Paramodulations : 12159
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 69
% 0.26/1.44 # Current number of processed clauses : 1200
% 0.26/1.44 # Positive orientable unit clauses : 326
% 0.26/1.44 # Positive unorientable unit clauses: 1
% 0.26/1.44 # Negative unit clauses : 50
% 0.26/1.44 # Non-unit-clauses : 823
% 0.26/1.44 # Current number of unprocessed clauses: 7845
% 0.26/1.44 # ...number of literals in the above : 25146
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 28
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 144159
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 108235
% 0.26/1.44 # Non-unit clause-clause subsumptions : 578
% 0.26/1.44 # Unit Clause-clause subsumption calls : 6728
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 2026
% 0.26/1.44 # BW rewrite match successes : 18
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 252077
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.251 s
% 0.26/1.44 # System time : 0.013 s
% 0.26/1.44 # Total time : 0.264 s
% 0.26/1.44 # Maximum resident set size: 12728 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------