TSTP Solution File: GEO299+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO299+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 04:05:21 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 22 unt; 0 def)
% Number of atoms : 103 ( 55 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 105 ( 34 ~; 21 |; 49 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 10 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(324, 1255, 0)',conjecture,
vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(324, 1255, 0)') ).
fof('qe(s3(plural(271)))',axiom,
? [X15] :
( vd1201 = X15
& rpoint(X15) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(s3(plural(271)))') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ~ ? [X17] :
( ron(vd1187,X17)
& ron(vd1186,X17)
& ron(vd1185,X17)
& rline(X17) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X18] :
( vd1187 = X18
& rpoint(X18) )
& ? [X19] :
( vd1186 = X19
& rpoint(X19) )
& ? [X20] :
( vd1185 = X20
& rpoint(X20) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X21] :
( vd1180 = X21
& rpoint(X21) )
& ? [X22] :
( vd1179 = X22
& rpoint(X22) )
& ? [X23] :
( vd1178 = X23
& rpoint(X23) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qe(s1(plural(271)))',axiom,
? [X16] :
( vd1199 = X16
& rpoint(X16) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(s1(plural(271)))') ).
fof('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(291, 1230, 0)') ).
fof('holds(314, 1247, 0)',axiom,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(314, 1247, 0)') ).
fof('holds(323, 1254, 0)',axiom,
rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(323, 1254, 0)') ).
fof(c_0_8,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(assume_negation,[status(cth)],['holds(324, 1255, 0)']) ).
fof(c_0_9,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_10,plain,
( vd1201 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_11,plain,
! [X24] :
( ( ~ ron(vd1187,X24)
| ~ ron(vd1186,X24)
| ~ ron(vd1185,X24)
| ~ rline(X24) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk3_0
& rpoint(esk3_0)
& vd1186 = esk4_0
& rpoint(esk4_0)
& vd1185 = esk5_0
& rpoint(esk5_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk6_0
& rpoint(esk6_0)
& vd1179 = esk7_0
& rpoint(esk7_0)
& vd1178 = esk8_0
& rpoint(esk8_0) ),
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)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])])])]) ).
fof(c_0_12,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ rR(X8,X7,X9)
| X9 != X10
| ~ rpoint(X10)
| X8 != X11
| ~ rpoint(X11)
| X7 != X12
| ~ rpoint(X12)
| vplus(vf(X7,X8),vf(X8,X9)) = vf(X7,X9) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])])])]) ).
fof(c_0_13,plain,
( vd1199 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(271)))'])]) ).
cnf(c_0_14,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
cnf(c_0_16,plain,
vd1201 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(314, 1247, 0)']) ).
cnf(c_0_18,plain,
vd1187 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ rR(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
rR(vd1201,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(323, 1254, 0)']) ).
cnf(c_0_21,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
vd1199 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
vplus(vf(vd1199,esk1_0),vf(esk1_0,vd1187)) != vf(vd1199,vd1187),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]),c_0_15]) ).
cnf(c_0_24,plain,
vf(vd1199,esk3_0) = vf(vd1199,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_15]),c_0_18]),c_0_16]) ).
cnf(c_0_25,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])])]) ).
cnf(c_0_26,plain,
rR(esk1_0,vd1199,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_15]),c_0_18]) ).
cnf(c_0_27,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
rpoint(vd1199),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
vplus(vf(vd1199,esk1_0),vf(esk1_0,esk3_0)) != vf(vd1199,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18]),c_0_18]),c_0_24]) ).
cnf(c_0_31,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]),c_0_27]),c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO299+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.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 14:38:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.43 # Preprocessing time : 0.061 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 32
% 0.24/1.43 # Proof object clause steps : 18
% 0.24/1.43 # Proof object formula steps : 14
% 0.24/1.43 # Proof object conjectures : 6
% 0.24/1.43 # Proof object clause conjectures : 3
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 11
% 0.24/1.43 # Proof object initial formulas used : 8
% 0.24/1.43 # Proof object generating inferences : 1
% 0.24/1.43 # Proof object simplifying inferences : 23
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 160
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 327
% 0.24/1.43 # Removed in clause preprocessing : 2
% 0.24/1.43 # Initial clauses in saturation : 325
% 0.24/1.43 # Processed clauses : 3731
% 0.24/1.43 # ...of these trivial : 52
% 0.24/1.43 # ...subsumed : 1948
% 0.24/1.43 # ...remaining for further processing : 1731
% 0.24/1.43 # Other redundant clauses eliminated : 1112
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 10
% 0.24/1.43 # Backward-rewritten : 23
% 0.24/1.43 # Generated clauses : 13993
% 0.24/1.43 # ...of the previous two non-trivial : 11248
% 0.24/1.43 # Contextual simplify-reflections : 688
% 0.24/1.43 # Paramodulations : 13736
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 1126
% 0.24/1.43 # Current number of processed clauses : 1457
% 0.24/1.43 # Positive orientable unit clauses : 75
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 24
% 0.24/1.43 # Non-unit-clauses : 1358
% 0.24/1.43 # Current number of unprocessed clauses: 7656
% 0.24/1.43 # ...number of literals in the above : 67749
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 33
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 769999
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 60648
% 0.24/1.43 # Non-unit clause-clause subsumptions : 2218
% 0.24/1.43 # Unit Clause-clause subsumption calls : 1063
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 13
% 0.24/1.43 # BW rewrite match successes : 13
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 584907
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.535 s
% 0.24/1.43 # System time : 0.010 s
% 0.24/1.43 # Total time : 0.545 s
% 0.24/1.43 # Maximum resident set size: 18268 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/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.mepo_128.in
% 0.24/23.45 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
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/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/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.mepo_128.in
% 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
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/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.mepo_128.in
% 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.mepo_128.in
% 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
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.24/23.49 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
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 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
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------