TSTP Solution File: GEO497+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO497+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 04:06:02 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 19 unt; 0 def)
% Number of atoms : 117 ( 49 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 130 ( 60 ~; 58 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 141 ( 17 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz6_11a,conjecture,
! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz6_11a) ).
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/sandbox/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz2_2) ).
fof(d_insert,axiom,
! [X12,X15,X20,X22] : insert(X12,X15,X20,X22) = ext(ext(X22,X20,alpha,gamma),X20,X12,X15),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d_insert) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz3_2) ).
fof(aSatz6_3b,axiom,
! [X12,X13,X15,X14] :
( sameside(X12,X13,X15)
| X12 = X13
| X15 = X13
| X14 = X13
| ~ s_t(X12,X13,X14)
| ~ s_t(X15,X13,X14) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz6_3b) ).
fof(aSatz3_14b,axiom,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz3_14b) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(c_0_9,negated_conjecture,
~ ! [X27,X12,X15,X14] :
( ( X27 = X12
| X15 = X14
| sameside(insert(X15,X14,X12,X27),X12,X27) )
& ( X27 = X12
| X15 = X14
| s_e(X12,insert(X15,X14,X12,X27),X15,X14) ) ),
inference(assume_negation,[status(cth)],[aSatz6_11a]) ).
fof(c_0_10,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])]) ).
fof(c_0_11,plain,
! [X8,X9,X10,X11,X8,X9,X10,X11] :
( s_t(X8,X9,ext(X8,X9,X10,X11))
& s_e(X9,ext(X8,X9,X10,X11),X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[aA4])])]) ).
fof(c_0_12,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])]) ).
fof(c_0_13,negated_conjecture,
( ( esk5_0 != esk6_0
| esk1_0 != esk2_0 )
& ( esk7_0 != esk8_0
| esk1_0 != esk2_0 )
& ( ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0)
| esk1_0 != esk2_0 )
& ( esk5_0 != esk6_0
| esk3_0 != esk4_0 )
& ( esk7_0 != esk8_0
| esk3_0 != esk4_0 )
& ( ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0)
| esk3_0 != esk4_0 )
& ( esk5_0 != esk6_0
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
& ( esk7_0 != esk8_0
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) )
& ( ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0)
| ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_14,plain,
! [X23,X24,X25,X26] : insert(X23,X24,X25,X26) = ext(ext(X26,X25,alpha,gamma),X25,X23,X24),
inference(variable_rename,[status(thm)],[d_insert]) ).
fof(c_0_15,plain,
! [X16,X17,X18] :
( ~ s_t(X16,X17,X18)
| s_t(X18,X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_2])]) ).
cnf(c_0_16,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_10]) ).
cnf(c_0_17,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ sameside(insert(esk3_0,esk4_0,esk2_0,esk1_0),esk2_0,esk1_0)
| ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X16,X17,X18,X19] :
( sameside(X16,X17,X18)
| X16 = X17
| X18 = X17
| X19 = X17
| ~ s_t(X16,X17,X19)
| ~ s_t(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz6_3b])]) ).
cnf(c_0_22,plain,
( s_t(X1,X2,X3)
| ~ s_t(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
( esk1_0 != esk2_0
| ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X5,ext(X6,X5,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,plain,
s_e(X1,X2,X3,ext(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( ~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0)
| ~ s_e(esk6_0,ext(ext(esk5_0,esk6_0,alpha,gamma),esk6_0,esk7_0,esk8_0),esk7_0,esk8_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_28,plain,
( X3 = X2
| X1 = X2
| X4 = X2
| sameside(X4,X2,X1)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
s_t(ext(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_30,plain,
! [X16,X17] : X16 != ext(X17,X16,alpha,gamma),
inference(variable_rename,[status(thm)],[aSatz3_14b]) ).
cnf(c_0_31,negated_conjecture,
( esk2_0 != esk1_0
| ~ s_e(esk6_0,ext(ext(esk5_0,esk6_0,alpha,gamma),esk6_0,esk7_0,esk8_0),esk7_0,esk8_0) ),
inference(rw,[status(thm)],[c_0_24,c_0_20]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ~ s_e(X4,X5,X6,X6)
| X4 = X5 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA3])])])]) ).
cnf(c_0_33,plain,
s_e(X1,ext(X2,X1,X3,ext(X4,X3,X5,X6)),X5,X6),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
~ sameside(ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_17])]) ).
cnf(c_0_35,plain,
( ext(X1,X2,X3,X4) = X2
| X2 = X1
| X5 = X2
| sameside(ext(X1,X2,X3,X4),X2,X5)
| ~ s_t(X5,X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
X1 != ext(X2,X1,alpha,gamma),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
esk2_0 != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_17])]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( esk3_0 != esk4_0
| ~ s_e(esk6_0,insert(esk7_0,esk8_0,esk6_0,esk5_0),esk7_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_40,plain,
s_e(X1,X2,X3,ext(X4,X3,X5,ext(X6,X5,X1,X2))),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
ext(ext(esk1_0,esk2_0,alpha,gamma),esk2_0,esk3_0,esk4_0) = esk2_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_23])]),c_0_36]),c_0_37]) ).
cnf(c_0_42,plain,
ext(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( esk4_0 != esk3_0
| ~ s_e(esk6_0,ext(ext(esk5_0,esk6_0,alpha,gamma),esk6_0,esk7_0,esk8_0),esk7_0,esk8_0) ),
inference(rw,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_44,negated_conjecture,
s_e(esk3_0,esk4_0,X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
esk3_0 != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_17])]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO497+1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n019.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 : Sat Jun 18 09:16:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.022 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 47
% 0.22/1.41 # Proof object clause steps : 28
% 0.22/1.41 # Proof object formula steps : 19
% 0.22/1.41 # Proof object conjectures : 15
% 0.22/1.41 # Proof object clause conjectures : 12
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 12
% 0.22/1.41 # Proof object initial formulas used : 9
% 0.22/1.41 # Proof object generating inferences : 10
% 0.22/1.41 # Proof object simplifying inferences : 16
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 85
% 0.22/1.41 # Removed by relevancy pruning/SinE : 14
% 0.22/1.41 # Initial clauses : 90
% 0.22/1.41 # Removed in clause preprocessing : 1
% 0.22/1.41 # Initial clauses in saturation : 89
% 0.22/1.41 # Processed clauses : 832
% 0.22/1.41 # ...of these trivial : 51
% 0.22/1.41 # ...subsumed : 335
% 0.22/1.41 # ...remaining for further processing : 446
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 9
% 0.22/1.41 # Backward-rewritten : 211
% 0.22/1.41 # Generated clauses : 6808
% 0.22/1.41 # ...of the previous two non-trivial : 5290
% 0.22/1.41 # Contextual simplify-reflections : 132
% 0.22/1.41 # Paramodulations : 6800
% 0.22/1.41 # Factorizations : 8
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 226
% 0.22/1.41 # Positive orientable unit clauses : 64
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 6
% 0.22/1.41 # Non-unit-clauses : 156
% 0.22/1.41 # Current number of unprocessed clauses: 2080
% 0.22/1.41 # ...number of literals in the above : 6461
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 221
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 58600
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 48943
% 0.22/1.41 # Non-unit clause-clause subsumptions : 364
% 0.22/1.41 # Unit Clause-clause subsumption calls : 1670
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 1584
% 0.22/1.41 # BW rewrite match successes : 3
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 200070
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.312 s
% 0.22/1.41 # System time : 0.006 s
% 0.22/1.41 # Total time : 0.318 s
% 0.22/1.41 # Maximum resident set size: 8052 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------