TSTP Solution File: GEO285+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 04:05:17 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 27 unt; 0 def)
% Number of atoms : 386 ( 109 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 549 ( 241 ~; 235 |; 64 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 58 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X670,X671] :
( ( ? [X672] :
( X671 = X672
& rpoint(X672) )
& ? [X673] :
( X670 = X673
& rpoint(X673) ) )
=> vf(X670,X671) = vf(X671,X670) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))',axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof('holds(258, 1150, 0)',axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(258, 1150, 0)') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X21,X22,X23,X24,X25,X26] :
( ( ron(X25,X24)
& X25 = X26
& rpoint(X26)
& rcenter(X23,X24)
& X21 = X22
& rpoint(X22) )
=> ( vf(X23,X21) = vf(X23,X25)
<=> ron(X21,X24) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X15,X16,X17,X18] :
( ( ron(X16,X18)
& rcenter(X17,X18)
& ? [X19] :
( X16 = X19
& rpoint(X19) )
& ? [X20] :
( X15 = X20
& rpoint(X20) ) )
=> ( rless(vf(X17,X15),vf(X17,X16))
<=> rinside(X15,X18) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))',axiom,
( ron(vd1127,vd1152)
& rcenter(vd1123,vd1152)
& rcircle(vd1152)
& ron(vd1125,vd1151)
& ron(vd1123,vd1151) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X1,X2] :
( ( X1 != X2
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) ) )
=> ? [X5] :
( ron(X2,X5)
& rcenter(X1,X5)
& rcircle(X5) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X41,X42,X43,X44] :
( ( rinside(X41,X43)
& X43 = X44
& rcircle(X44)
& X41 = X42
& rpoint(X42) )
=> ~ ron(X41,X43) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))',axiom,
! [X45,X46] :
( ( rintersect(X45,X46)
& ? [X47] :
( X46 = X47
& rcircle(X47) )
& ? [X48] :
( X45 = X48
& rcircle(X48) ) )
=> ? [X49,X50] :
( X49 != X50
& ron(X50,X46)
& ron(X50,X45)
& rpoint(X50)
& ron(X49,X46)
& ron(X49,X45)
& rpoint(X49) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof('qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))',axiom,
! [X27,X28,X29,X30] :
( ( ron(X28,X30)
& rinside(X27,X30)
& rinside(X28,X29)
& ron(X27,X29)
& ? [X31] :
( X28 = X31
& rpoint(X31) )
& ? [X32] :
( X27 = X32
& rpoint(X32) ) )
=> rintersect(X29,X30) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof('neg(neg(260))',conjecture,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(260))') ).
fof(c_0_11,plain,
! [X674,X675,X676,X677] :
( X675 != X676
| ~ rpoint(X676)
| X674 != X677
| ~ rpoint(X677)
| vf(X674,X675) = vf(X675,X674) ),
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(166), 0), imp(cond(axiom(166), 0)))'])])])])]) ).
cnf(c_0_12,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_13,plain,
vd1123 = vd1129,
inference(split_conjunct,[status(thm)],['holds(258, 1150, 0)']) ).
fof(c_0_14,plain,
! [X27,X28,X29,X30,X31,X32] :
( ( vf(X29,X27) != vf(X29,X31)
| ron(X27,X30)
| ~ ron(X31,X30)
| X31 != X32
| ~ rpoint(X32)
| ~ rcenter(X29,X30)
| X27 != X28
| ~ rpoint(X28) )
& ( ~ ron(X27,X30)
| vf(X29,X27) = vf(X29,X31)
| ~ ron(X31,X30)
| X31 != X32
| ~ rpoint(X32)
| ~ rcenter(X29,X30)
| X27 != X28
| ~ rpoint(X28) ) ),
inference(distribute,[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(184), 0), imp(cond(axiom(184), 0)))'])])])])]) ).
cnf(c_0_15,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_16,plain,
vd1127 = vd1128,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_17,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_18,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X3)
| X1 != X3
| ~ rpoint(X4)
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_20,plain,
vd1130 = vd1123,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
( vf(X3,X2) = vf(X3,X6)
| ~ rpoint(X1)
| X2 != X1
| ~ rcenter(X3,X4)
| ~ rpoint(X5)
| X6 != X5
| ~ ron(X6,X4)
| ~ ron(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X21,X22,X23,X24,X25,X26] :
( ( ~ rless(vf(X23,X21),vf(X23,X22))
| rinside(X21,X24)
| ~ ron(X22,X24)
| ~ rcenter(X23,X24)
| X22 != X25
| ~ rpoint(X25)
| X21 != X26
| ~ rpoint(X26) )
& ( ~ rinside(X21,X24)
| rless(vf(X23,X21),vf(X23,X22))
| ~ ron(X22,X24)
| ~ rcenter(X23,X24)
| X22 != X25
| ~ rpoint(X25)
| X21 != X26
| ~ rpoint(X26) ) ),
inference(distribute,[status(thm)],[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(186), 0), imp(cond(axiom(186), 0)))'])])])])])]) ).
cnf(c_0_23,plain,
rless(vf(vd1128,vd1123),vf(vd1123,vd1126)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_13]),c_0_17]) ).
cnf(c_0_24,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).
cnf(c_0_25,plain,
rpoint(vd1128),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_26,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).
cnf(c_0_28,plain,
rcenter(vd1123,vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_29,plain,
ron(vd1127,vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_30,plain,
( rinside(X2,X6)
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3
| ~ rcenter(X5,X6)
| ~ ron(X4,X6)
| ~ rless(vf(X5,X2),vf(X5,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
rless(vf(vd1123,vd1128),vf(vd1123,vd1126)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_32,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,vd1152)
| ~ ron(X1,vd1152) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
ron(vd1128,vd1152),
inference(rw,[status(thm)],[c_0_29,c_0_16]) ).
fof(c_0_34,plain,
! [X6,X7,X8,X9] :
( ( ron(X7,esk1_2(X6,X7))
| X6 = X7
| X7 != X8
| ~ rpoint(X8)
| X6 != X9
| ~ rpoint(X9) )
& ( rcenter(X6,esk1_2(X6,X7))
| X6 = X7
| X7 != X8
| ~ rpoint(X8)
| X6 != X9
| ~ rpoint(X9) )
& ( rcircle(esk1_2(X6,X7))
| X6 = X7
| X7 != X8
| ~ rpoint(X8)
| X6 != X9
| ~ rpoint(X9) ) ),
inference(distribute,[status(thm)],[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)],['qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))'])])])])])])]) ).
cnf(c_0_35,plain,
( rinside(X1,X2)
| ~ rless(vf(X3,X1),vf(X3,X4))
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rcenter(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_36,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1126))
| ~ rpoint(X1)
| ~ ron(X1,vd1152) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25]),c_0_33])]) ).
cnf(c_0_37,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_38,plain,
( X2 = X4
| rcenter(X2,esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X45,X46,X47,X48] :
( ~ rinside(X45,X47)
| X47 != X48
| ~ rcircle(X48)
| X45 != X46
| ~ rpoint(X46)
| ~ ron(X45,X47) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))'])])])])]) ).
fof(c_0_40,plain,
! [X51,X52,X53,X54] :
( ( esk5_2(X51,X52) != esk6_2(X51,X52)
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( ron(esk6_2(X51,X52),X52)
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( ron(esk6_2(X51,X52),X51)
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( rpoint(esk6_2(X51,X52))
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( ron(esk5_2(X51,X52),X52)
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( ron(esk5_2(X51,X52),X51)
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) )
& ( rpoint(esk5_2(X51,X52))
| ~ rintersect(X51,X52)
| X52 != X53
| ~ rcircle(X53)
| X51 != X54
| ~ rcircle(X54) ) ),
inference(distribute,[status(thm)],[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)],['qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))'])])])])])])]) ).
cnf(c_0_41,plain,
( rinside(X1,X2)
| ~ rpoint(X1)
| ~ rcenter(vd1123,X2)
| ~ ron(vd1126,X2)
| ~ ron(X1,vd1152) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_42,plain,
( X1 = X2
| rcenter(X1,esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_43,plain,
( X2 = X4
| ron(X4,esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
vd1123 != vd1125,
inference(split_conjunct,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
cnf(c_0_45,plain,
( ~ ron(X1,X2)
| ~ rpoint(X3)
| X1 != X3
| ~ rcircle(X4)
| X2 != X4
| ~ rinside(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( ron(esk6_2(X2,X4),X2)
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( rpoint(esk6_2(X2,X4))
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( vd1123 = X1
| rinside(X2,esk1_2(vd1123,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1126,esk1_2(vd1123,X1))
| ~ ron(X2,vd1152) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26])]) ).
cnf(c_0_49,plain,
( X1 = X2
| ron(X2,esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_50,plain,
vd1126 != vd1123,
inference(rw,[status(thm)],[c_0_44,c_0_17]) ).
cnf(c_0_51,plain,
( ron(esk6_2(X2,X4),X4)
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_52,plain,
! [X33,X34,X35,X36,X37,X38] :
( ~ ron(X34,X36)
| ~ rinside(X33,X36)
| ~ rinside(X34,X35)
| ~ ron(X33,X35)
| X34 != X37
| ~ rpoint(X37)
| X33 != X38
| ~ rpoint(X38)
| rintersect(X35,X36) ),
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(135), 0), imp(cond(axiom(135), 0)))'])])])])]) ).
cnf(c_0_53,plain,
( ~ rpoint(X1)
| ~ rcircle(X2)
| ~ ron(X1,X2)
| ~ rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_54,plain,
( ron(esk6_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_55,plain,
( rpoint(esk6_2(X1,X2))
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])]) ).
cnf(c_0_56,plain,
( rinside(X1,esk1_2(vd1123,vd1126))
| ~ rpoint(X1)
| ~ ron(X1,vd1152) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37]),c_0_26])]),c_0_50]) ).
cnf(c_0_57,plain,
( ron(esk6_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])]) ).
cnf(c_0_58,plain,
rcircle(vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_59,plain,
( rintersect(X1,X2)
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ ron(X4,X1)
| ~ rinside(X6,X1)
| ~ rinside(X4,X2)
| ~ ron(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_60,negated_conjecture,
~ ~ rinside(vd1125,vd1152),
inference(assume_negation,[status(cth)],['neg(neg(260))']) ).
cnf(c_0_61,plain,
( ~ rintersect(X1,X2)
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ rinside(esk6_2(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_62,plain,
( rinside(esk6_2(X1,vd1152),esk1_2(vd1123,vd1126))
| ~ rintersect(X1,vd1152)
| ~ rpoint(esk6_2(X1,vd1152))
| ~ rcircle(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_63,plain,
( rintersect(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X3,X2)
| ~ ron(X4,X1)
| ~ rinside(X3,X1)
| ~ rinside(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])]) ).
cnf(c_0_64,plain,
( rinside(vd1128,X1)
| ~ rcenter(vd1123,X1)
| ~ ron(vd1126,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_37]),c_0_25])]) ).
fof(c_0_65,negated_conjecture,
rinside(vd1125,vd1152),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( ~ rintersect(esk1_2(vd1123,vd1126),vd1152)
| ~ rpoint(esk6_2(esk1_2(vd1123,vd1126),vd1152))
| ~ rcircle(esk1_2(vd1123,vd1126)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_58])]) ).
cnf(c_0_67,plain,
( rintersect(X1,vd1152)
| ~ rpoint(X2)
| ~ ron(X2,X1)
| ~ rinside(vd1128,X1)
| ~ rinside(X2,vd1152) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_33]),c_0_25])]) ).
cnf(c_0_68,plain,
( vd1123 = X1
| rinside(vd1128,esk1_2(vd1123,X1))
| ~ rpoint(X1)
| ~ ron(vd1126,esk1_2(vd1123,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_42]),c_0_26])]) ).
cnf(c_0_69,negated_conjecture,
rinside(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( ~ rintersect(esk1_2(vd1123,vd1126),vd1152)
| ~ rcircle(esk1_2(vd1123,vd1126)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_55]),c_0_58])]) ).
cnf(c_0_71,plain,
( X1 = X2
| rintersect(esk1_2(X1,X2),vd1152)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rinside(vd1128,esk1_2(X1,X2))
| ~ rinside(X2,vd1152) ),
inference(spm,[status(thm)],[c_0_67,c_0_49]) ).
cnf(c_0_72,plain,
rinside(vd1128,esk1_2(vd1123,vd1126)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_37]),c_0_26])]),c_0_50]) ).
cnf(c_0_73,negated_conjecture,
rinside(vd1126,vd1152),
inference(rw,[status(thm)],[c_0_69,c_0_17]) ).
cnf(c_0_74,plain,
( X2 = X4
| rcircle(esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_75,plain,
~ rcircle(esk1_2(vd1123,vd1126)),
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_70,c_0_71]),c_0_37]),c_0_26]),c_0_72]),c_0_73])]),c_0_50]) ).
cnf(c_0_76,plain,
( X1 = X2
| rcircle(esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_74])]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_37]),c_0_26])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n017.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 12:17:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.058 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 78
% 0.23/1.42 # Proof object clause steps : 58
% 0.23/1.42 # Proof object formula steps : 20
% 0.23/1.42 # Proof object conjectures : 5
% 0.23/1.42 # Proof object clause conjectures : 2
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 24
% 0.23/1.42 # Proof object initial formulas used : 11
% 0.23/1.42 # Proof object generating inferences : 17
% 0.23/1.42 # Proof object simplifying inferences : 72
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 133
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 301
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 299
% 0.23/1.42 # Processed clauses : 2768
% 0.23/1.42 # ...of these trivial : 17
% 0.23/1.42 # ...subsumed : 1374
% 0.23/1.42 # ...remaining for further processing : 1377
% 0.23/1.42 # Other redundant clauses eliminated : 1100
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 38
% 0.23/1.42 # Backward-rewritten : 15
% 0.23/1.42 # Generated clauses : 11779
% 0.23/1.42 # ...of the previous two non-trivial : 10788
% 0.23/1.42 # Contextual simplify-reflections : 3064
% 0.23/1.42 # Paramodulations : 11512
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 1118
% 0.23/1.42 # Current number of processed clauses : 1082
% 0.23/1.42 # Positive orientable unit clauses : 28
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 14
% 0.23/1.42 # Non-unit-clauses : 1040
% 0.23/1.42 # Current number of unprocessed clauses: 7043
% 0.23/1.42 # ...number of literals in the above : 73566
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 53
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 994117
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 80328
% 0.23/1.42 # Non-unit clause-clause subsumptions : 4206
% 0.23/1.42 # Unit Clause-clause subsumption calls : 4740
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 9
% 0.23/1.42 # BW rewrite match successes : 9
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 498723
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.576 s
% 0.23/1.42 # System time : 0.008 s
% 0.23/1.42 # Total time : 0.584 s
% 0.23/1.42 # Maximum resident set size: 16520 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------