TSTP Solution File: GEO147+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 04:03:55 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 13 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 7 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13,conjecture,
! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ( incident_o(X3,trajectory_of(X12))
& incident_o(X3,trajectory_of(X13)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13) ).
fof(connect_defn,axiom,
! [X12,X13,X3] :
( connect(X12,X13,X3)
<=> once(at_the_same_time(at(X12,X3),at(X13,X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
fof(at_on_trajectory,axiom,
! [X12,X3] :
( once(at(X12,X3))
<=> incident_o(X3,trajectory_of(X12)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',at_on_trajectory) ).
fof(conjunction_at_the_same_time,axiom,
! [X14,X15] :
( once(at_the_same_time(X14,X15))
=> ( once(X14)
& once(X15) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).
fof(c_0_4,negated_conjecture,
~ ! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ( incident_o(X3,trajectory_of(X12))
& incident_o(X3,trajectory_of(X13)) ) ),
inference(assume_negation,[status(cth)],[t13]) ).
fof(c_0_5,plain,
! [X14,X15,X16,X14,X15,X16] :
( ( ~ connect(X14,X15,X16)
| once(at_the_same_time(at(X14,X16),at(X15,X16))) )
& ( ~ once(at_the_same_time(at(X14,X16),at(X15,X16)))
| connect(X14,X15,X16) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])])])]) ).
fof(c_0_6,negated_conjecture,
( connect(esk2_0,esk3_0,esk1_0)
& ( ~ incident_o(esk1_0,trajectory_of(esk2_0))
| ~ incident_o(esk1_0,trajectory_of(esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X13,X14,X13,X14] :
( ( ~ once(at(X13,X14))
| incident_o(X14,trajectory_of(X13)) )
& ( ~ incident_o(X14,trajectory_of(X13))
| once(at(X13,X14)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[at_on_trajectory])])])]) ).
fof(c_0_8,plain,
! [X16,X17] :
( ( once(X16)
| ~ once(at_the_same_time(X16,X17)) )
& ( once(X17)
| ~ once(at_the_same_time(X16,X17)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conjunction_at_the_same_time])])]) ).
cnf(c_0_9,plain,
( once(at_the_same_time(at(X1,X2),at(X3,X2)))
| ~ connect(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
connect(esk2_0,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ incident_o(esk1_0,trajectory_of(esk3_0))
| ~ incident_o(esk1_0,trajectory_of(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( incident_o(X1,trajectory_of(X2))
| ~ once(at(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( once(X2)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
once(at_the_same_time(at(esk2_0,esk1_0),at(esk3_0,esk1_0))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( ~ once(at(esk2_0,esk1_0))
| ~ incident_o(esk1_0,trajectory_of(esk3_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
once(at(esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( once(X1)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
~ once(at(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:03:44 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.017 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 20
% 0.23/1.42 # Proof object clause steps : 11
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 10
% 0.23/1.42 # Proof object clause conjectures : 7
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 6
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 5
% 0.23/1.42 # Proof object simplifying inferences : 3
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 37
% 0.23/1.42 # Removed by relevancy pruning/SinE : 25
% 0.23/1.42 # Initial clauses : 20
% 0.23/1.42 # Removed in clause preprocessing : 1
% 0.23/1.42 # Initial clauses in saturation : 19
% 0.23/1.42 # Processed clauses : 24
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 1
% 0.23/1.42 # ...remaining for further processing : 22
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 0
% 0.23/1.42 # Generated clauses : 30
% 0.23/1.42 # ...of the previous two non-trivial : 21
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 28
% 0.23/1.42 # Factorizations : 2
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 22
% 0.23/1.42 # Positive orientable unit clauses : 3
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 18
% 0.23/1.42 # Current number of unprocessed clauses: 16
% 0.23/1.42 # ...number of literals in the above : 40
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 1
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 61
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 39
% 0.23/1.42 # Non-unit clause-clause subsumptions : 1
% 0.23/1.42 # Unit Clause-clause subsumption calls : 6
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 4
% 0.23/1.42 # BW rewrite match successes : 0
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 2020
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.013 s
% 0.23/1.42 # System time : 0.005 s
% 0.23/1.42 # Total time : 0.018 s
% 0.23/1.42 # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------