TSTP Solution File: GEO282+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 0.27s 1.45s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 73 ( 26 unt; 0 def)
% Number of atoms : 367 ( 99 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 525 ( 231 ~; 225 |; 61 &)
% ( 2 <=>; 6 =>; 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 : 152 ( 0 sgn 52 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X17,X18,X19,X20,X21,X22] :
( ( ron(X21,X20)
& X21 = X22
& rpoint(X22)
& rcenter(X19,X20)
& X17 = X18
& rpoint(X18) )
=> ( vf(X19,X17) = vf(X19,X21)
<=> ron(X17,X20) ) ),
file('/export/starexec/sandbox/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,
! [X11,X12,X13,X14] :
( ( ron(X12,X14)
& rcenter(X13,X14)
& ? [X15] :
( X12 = X15
& rpoint(X15) )
& ? [X16] :
( X11 = X16
& rpoint(X16) ) )
=> ( rless(vf(X13,X11),vf(X13,X12))
<=> rinside(X11,X14) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(186), 0), imp(cond(axiom(186), 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/sandbox/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(252, 1144, 0)',axiom,
vd1123 = vd1127,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(252, 1144, 0)') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))',axiom,
( ron(vd1129,vd1146)
& rcenter(vd1123,vd1146)
& rcircle(vd1146)
& ron(vd1125,vd1145)
& ron(vd1123,vd1145) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 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/sandbox/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,
! [X391,X392,X393,X394] :
( ( rinside(X391,X393)
& X393 = X394
& rcircle(X394)
& X391 = X392
& rpoint(X392) )
=> ~ ron(X391,X393) ),
file('/export/starexec/sandbox/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,
! [X429,X430] :
( ( rintersect(X429,X430)
& ? [X431] :
( X430 = X431
& rcircle(X431) )
& ? [X432] :
( X429 = X432
& rcircle(X432) ) )
=> ? [X433,X434] :
( X433 != X434
& ron(X434,X430)
& ron(X434,X429)
& rpoint(X434)
& ron(X433,X430)
& ron(X433,X429)
& rpoint(X433) ) ),
file('/export/starexec/sandbox/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,
! [X158,X159,X160,X161] :
( ( ron(X159,X161)
& rinside(X158,X161)
& rinside(X159,X160)
& ron(X158,X160)
& ? [X162] :
( X159 = X162
& rpoint(X162) )
& ? [X163] :
( X158 = X163
& rpoint(X163) ) )
=> rintersect(X160,X161) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof('neg(neg(254))',conjecture,
~ rinside(vd1125,vd1146),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','neg(neg(254))') ).
fof(c_0_10,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( vf(X25,X23) != vf(X25,X27)
| ron(X23,X26)
| ~ ron(X27,X26)
| X27 != X28
| ~ rpoint(X28)
| ~ rcenter(X25,X26)
| X23 != X24
| ~ rpoint(X24) )
& ( ~ ron(X23,X26)
| vf(X25,X23) = vf(X25,X27)
| ~ ron(X27,X26)
| X27 != X28
| ~ rpoint(X28)
| ~ rcenter(X25,X26)
| X23 != X24
| ~ rpoint(X24) ) ),
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_11,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_10]) ).
fof(c_0_12,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( ~ rless(vf(X19,X17),vf(X19,X18))
| rinside(X17,X20)
| ~ ron(X18,X20)
| ~ rcenter(X19,X20)
| X18 != X21
| ~ rpoint(X21)
| X17 != X22
| ~ rpoint(X22) )
& ( ~ rinside(X17,X20)
| rless(vf(X19,X17),vf(X19,X18))
| ~ ron(X18,X20)
| ~ rcenter(X19,X20)
| X18 != X21
| ~ rpoint(X21)
| X17 != X22
| ~ rpoint(X22) ) ),
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_13,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_14,plain,
vd1123 = vd1127,
inference(split_conjunct,[status(thm)],['holds(252, 1144, 0)']) ).
cnf(c_0_15,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_16,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_17,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_11])]) ).
cnf(c_0_18,plain,
rcenter(vd1123,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_19,plain,
ron(vd1129,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_20,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_12]) ).
cnf(c_0_21,plain,
rless(vf(vd1123,vd1130),vf(vd1123,vd1126)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_22,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,vd1146)
| ~ ron(X1,vd1146) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,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_24,plain,
ron(vd1130,vd1146),
inference(rw,[status(thm)],[c_0_19,c_0_15]) ).
fof(c_0_25,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_26,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_27,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_20])]) ).
cnf(c_0_28,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1126))
| ~ rpoint(X1)
| ~ ron(X1,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_29,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_30,plain,
( X2 = X4
| rcenter(X2,esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,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_32,plain,
vd1128 = vd1123,
inference(rw,[status(thm)],[c_0_26,c_0_14]) ).
fof(c_0_33,plain,
! [X395,X396,X397,X398] :
( ~ rinside(X395,X397)
| X397 != X398
| ~ rcircle(X398)
| X395 != X396
| ~ rpoint(X396)
| ~ ron(X395,X397) ),
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_34,plain,
! [X435,X436,X437,X438] :
( ( esk15_2(X435,X436) != esk16_2(X435,X436)
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( ron(esk16_2(X435,X436),X436)
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( ron(esk16_2(X435,X436),X435)
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( rpoint(esk16_2(X435,X436))
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( ron(esk15_2(X435,X436),X436)
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( ron(esk15_2(X435,X436),X435)
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) )
& ( rpoint(esk15_2(X435,X436))
| ~ rintersect(X435,X436)
| X436 != X437
| ~ rcircle(X437)
| X435 != X438
| ~ rcircle(X438) ) ),
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_35,plain,
( rinside(X1,X2)
| ~ rpoint(X1)
| ~ rcenter(vd1123,X2)
| ~ ron(vd1126,X2)
| ~ ron(X1,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_36,plain,
( X1 = X2
| rcenter(X1,esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_37,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( X2 = X4
| ron(X4,esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,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_40,plain,
( ~ ron(X1,X2)
| ~ rpoint(X3)
| X1 != X3
| ~ rcircle(X4)
| X2 != X4
| ~ rinside(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( ron(esk16_2(X2,X4),X2)
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( rpoint(esk16_2(X2,X4))
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( vd1123 = X1
| rinside(X2,esk1_2(vd1123,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(vd1126,esk1_2(vd1123,X1))
| ~ ron(X2,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_44,plain,
( X1 = X2
| ron(X2,esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_45,plain,
vd1126 != vd1123,
inference(rw,[status(thm)],[c_0_39,c_0_16]) ).
cnf(c_0_46,plain,
( ron(esk16_2(X2,X4),X4)
| ~ rcircle(X1)
| X2 != X1
| ~ rcircle(X3)
| X4 != X3
| ~ rintersect(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_47,plain,
! [X164,X165,X166,X167,X168,X169] :
( ~ ron(X165,X167)
| ~ rinside(X164,X167)
| ~ rinside(X165,X166)
| ~ ron(X164,X166)
| X165 != X168
| ~ rpoint(X168)
| X164 != X169
| ~ rpoint(X169)
| rintersect(X166,X167) ),
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_48,plain,
( ~ rpoint(X1)
| ~ rcircle(X2)
| ~ ron(X1,X2)
| ~ rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_49,plain,
( ron(esk16_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])]) ).
cnf(c_0_50,plain,
( rpoint(esk16_2(X1,X2))
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])]) ).
cnf(c_0_51,plain,
( rinside(X1,esk1_2(vd1123,vd1126))
| ~ rpoint(X1)
| ~ ron(X1,vd1146) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_29]),c_0_37])]),c_0_45]) ).
cnf(c_0_52,plain,
( ron(esk16_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| ~ rcircle(X2)
| ~ rcircle(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_53,plain,
rcircle(vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_54,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_47]) ).
fof(c_0_55,negated_conjecture,
~ ~ rinside(vd1125,vd1146),
inference(assume_negation,[status(cth)],['neg(neg(254))']) ).
cnf(c_0_56,plain,
( ~ rintersect(X1,X2)
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ rinside(esk16_2(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_57,plain,
( rinside(esk16_2(X1,vd1146),esk1_2(vd1123,vd1126))
| ~ rintersect(X1,vd1146)
| ~ rpoint(esk16_2(X1,vd1146))
| ~ rcircle(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,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_54])]) ).
cnf(c_0_59,plain,
( rinside(vd1130,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_27,c_0_21]),c_0_29]),c_0_23])]) ).
fof(c_0_60,negated_conjecture,
rinside(vd1125,vd1146),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
( ~ rintersect(esk1_2(vd1123,vd1126),vd1146)
| ~ rpoint(esk16_2(esk1_2(vd1123,vd1126),vd1146))
| ~ rcircle(esk1_2(vd1123,vd1126)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_53])]) ).
cnf(c_0_62,plain,
( rintersect(X1,vd1146)
| ~ rpoint(X2)
| ~ ron(X2,X1)
| ~ rinside(vd1130,X1)
| ~ rinside(X2,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_24]),c_0_23])]) ).
cnf(c_0_63,plain,
( vd1123 = X1
| rinside(vd1130,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_59,c_0_36]),c_0_37])]) ).
cnf(c_0_64,negated_conjecture,
rinside(vd1125,vd1146),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
( ~ rintersect(esk1_2(vd1123,vd1126),vd1146)
| ~ rcircle(esk1_2(vd1123,vd1126)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_53])]) ).
cnf(c_0_66,plain,
( X1 = X2
| rintersect(esk1_2(X1,X2),vd1146)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rinside(vd1130,esk1_2(X1,X2))
| ~ rinside(X2,vd1146) ),
inference(spm,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_67,plain,
rinside(vd1130,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_63,c_0_44]),c_0_29]),c_0_37])]),c_0_45]) ).
cnf(c_0_68,negated_conjecture,
rinside(vd1126,vd1146),
inference(rw,[status(thm)],[c_0_64,c_0_16]) ).
cnf(c_0_69,plain,
( X2 = X4
| rcircle(esk1_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_70,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_65,c_0_66]),c_0_29]),c_0_37]),c_0_67]),c_0_68])]),c_0_45]) ).
cnf(c_0_71,plain,
( X1 = X2
| rcircle(esk1_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]) ).
cnf(c_0_72,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_29]),c_0_37])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 14:15:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.27/1.45 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.27/1.45 # Preprocessing time : 0.061 s
% 0.27/1.45
% 0.27/1.45 # Proof found!
% 0.27/1.45 # SZS status Theorem
% 0.27/1.45 # SZS output start CNFRefutation
% See solution above
% 0.27/1.45 # Proof object total steps : 73
% 0.27/1.45 # Proof object clause steps : 55
% 0.27/1.45 # Proof object formula steps : 18
% 0.27/1.45 # Proof object conjectures : 5
% 0.27/1.45 # Proof object clause conjectures : 2
% 0.27/1.45 # Proof object formula conjectures : 3
% 0.27/1.45 # Proof object initial clauses used : 23
% 0.27/1.45 # Proof object initial formulas used : 10
% 0.27/1.45 # Proof object generating inferences : 16
% 0.27/1.45 # Proof object simplifying inferences : 67
% 0.27/1.45 # Training examples: 0 positive, 0 negative
% 0.27/1.45 # Parsed axioms : 124
% 0.27/1.45 # Removed by relevancy pruning/SinE : 0
% 0.27/1.45 # Initial clauses : 288
% 0.27/1.45 # Removed in clause preprocessing : 2
% 0.27/1.45 # Initial clauses in saturation : 286
% 0.27/1.45 # Processed clauses : 2587
% 0.27/1.45 # ...of these trivial : 16
% 0.27/1.45 # ...subsumed : 1229
% 0.27/1.45 # ...remaining for further processing : 1342
% 0.27/1.45 # Other redundant clauses eliminated : 1100
% 0.27/1.45 # Clauses deleted for lack of memory : 0
% 0.27/1.45 # Backward-subsumed : 38
% 0.27/1.45 # Backward-rewritten : 14
% 0.27/1.45 # Generated clauses : 11077
% 0.27/1.45 # ...of the previous two non-trivial : 10119
% 0.27/1.45 # Contextual simplify-reflections : 2899
% 0.27/1.45 # Paramodulations : 10810
% 0.27/1.45 # Factorizations : 0
% 0.27/1.45 # Equation resolutions : 1118
% 0.27/1.45 # Current number of processed clauses : 1048
% 0.27/1.45 # Positive orientable unit clauses : 27
% 0.27/1.45 # Positive unorientable unit clauses: 0
% 0.27/1.45 # Negative unit clauses : 14
% 0.27/1.45 # Non-unit-clauses : 1007
% 0.27/1.45 # Current number of unprocessed clauses: 6856
% 0.27/1.45 # ...number of literals in the above : 70160
% 0.27/1.45 # Current number of archived formulas : 0
% 0.27/1.45 # Current number of archived clauses : 52
% 0.27/1.45 # Clause-clause subsumption calls (NU) : 801617
% 0.27/1.45 # Rec. Clause-clause subsumption calls : 36567
% 0.27/1.45 # Non-unit clause-clause subsumptions : 4010
% 0.27/1.45 # Unit Clause-clause subsumption calls : 3092
% 0.27/1.45 # Rewrite failures with RHS unbound : 0
% 0.27/1.45 # BW rewrite match attempts : 9
% 0.27/1.45 # BW rewrite match successes : 9
% 0.27/1.45 # Condensation attempts : 0
% 0.27/1.45 # Condensation successes : 0
% 0.27/1.45 # Termbank termtop insertions : 481477
% 0.27/1.45
% 0.27/1.45 # -------------------------------------------------
% 0.27/1.45 # User time : 0.551 s
% 0.27/1.45 # System time : 0.011 s
% 0.27/1.45 # Total time : 0.562 s
% 0.27/1.45 # Maximum resident set size: 15988 pages
% 0.27/23.44 eprover: CPU time limit exceeded, terminating
% 0.27/23.45 eprover: CPU time limit exceeded, terminating
% 0.27/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------