TSTP Solution File: GEO280+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:32:29 EDT 2023
% Result : Theorem 2.68s 0.80s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 27 unt; 0 def)
% Number of atoms : 192 ( 58 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 238 ( 102 ~; 92 |; 37 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn; 40 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X82,X83] :
( ( ? [X84] :
( X83 = X84
& rpoint(X84) )
& ? [X85] :
( X82 = X85
& rpoint(X85) ) )
=> ? [X86] :
( vf(X82,X83) = X86
& rreal(X86) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X651,X652] :
( ( ? [X653] :
( X652 = X653
& rpoint(X653) )
& ? [X654] :
( X651 = X654
& rpoint(X654) ) )
=> vf(X651,X652) = vf(X652,X651) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','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/tmp/tmp.XV38XewGM1/E---3.1_31837.p','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('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X157,X158] :
( ( X157 = X158
& rreal(X158) )
=> ~ rless(X157,X157) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
! [X151,X152,X153,X154,X155,X156] :
( ( rless(X153,X155)
& rless(X151,X153)
& X155 = X156
& rreal(X156)
& X153 = X154
& rreal(X154)
& X151 = X152
& rreal(X152) )
=> rless(X151,X155) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof('holds(245, 1137, 0)',axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','holds(245, 1137, 0)') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X139,X140,X141,X142] :
( ( ron(X140,X142)
& rcenter(X141,X142)
& ? [X143] :
( X140 = X143
& rpoint(X143) )
& ? [X144] :
( X139 = X144
& rpoint(X144) ) )
=> ( rless(vf(X141,X139),vf(X141,X140))
<=> rinside(X139,X142) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))',axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof('neg(neg(247))',conjecture,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','neg(neg(247))') ).
fof('pred(245, 0)',axiom,
rpoint(vd1136),
file('/export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p','pred(245, 0)') ).
fof(c_0_10,plain,
! [X832,X833,X834,X835] :
( ( vf(X832,X833) = esk6_2(X832,X833)
| X833 != X834
| ~ rpoint(X834)
| X832 != X835
| ~ rpoint(X835) )
& ( rreal(esk6_2(X832,X833))
| X833 != X834
| ~ rpoint(X834)
| X832 != X835
| ~ rpoint(X835) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_11,plain,
! [X1401,X1402,X1403,X1404] :
( X1402 != X1403
| ~ rpoint(X1403)
| X1401 != X1404
| ~ rpoint(X1404)
| vf(X1401,X1402) = vf(X1402,X1401) ),
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,
( rreal(esk6_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( vf(X1,X2) = esk6_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,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_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,
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_18,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)))']) ).
fof(c_0_19,plain,
! [X157,X158] :
( ( X157 = X158
& rreal(X158) )
=> ~ rless(X157,X157) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_20,plain,
! [X901,X902,X903,X904,X905,X906] :
( ~ rless(X903,X905)
| ~ rless(X901,X903)
| X905 != X906
| ~ rreal(X906)
| X903 != X904
| ~ rreal(X904)
| X901 != X902
| ~ rreal(X902)
| rless(X901,X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).
cnf(c_0_21,plain,
( rreal(esk6_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])]) ).
cnf(c_0_22,plain,
( esk6_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).
cnf(c_0_23,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(split_conjunct,[status(thm)],['holds(245, 1137, 0)']) ).
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_14])]) ).
cnf(c_0_25,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_26,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_27,plain,
! [X907,X908] :
( X907 != X908
| ~ rreal(X908)
| ~ rless(X907,X907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
cnf(c_0_28,plain,
( rless(X3,X2)
| ~ rless(X1,X2)
| ~ rless(X3,X1)
| X2 != X4
| ~ rreal(X4)
| X1 != X5
| ~ rreal(X5)
| X3 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,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_30,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
vf(vd1129,vd1127) = vf(vd1123,vd1136),
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])]) ).
fof(c_0_32,plain,
! [X889,X890,X891,X892,X893,X894] :
( ( ~ rless(vf(X891,X889),vf(X891,X890))
| rinside(X889,X892)
| ~ ron(X890,X892)
| ~ rcenter(X891,X892)
| X890 != X893
| ~ rpoint(X893)
| X889 != X894
| ~ rpoint(X894) )
& ( ~ rinside(X889,X892)
| rless(vf(X891,X889),vf(X891,X890))
| ~ ron(X890,X892)
| ~ rcenter(X891,X892)
| X890 != X893
| ~ rpoint(X893)
| X889 != X894
| ~ rpoint(X894) ) ),
inference(distribute,[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_33,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3)
| ~ rless(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])])]) ).
cnf(c_0_35,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_36,plain,
rreal(vf(vd1123,vd1136)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_25])]) ).
cnf(c_0_37,plain,
( rless(vf(X3,X1),vf(X3,X4))
| ~ rinside(X1,X2)
| ~ ron(X4,X2)
| ~ rcenter(X3,X2)
| X4 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( rless(vf(vd1123,vd1136),X1)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(X1)
| ~ rless(vf(vd1123,vd1125),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_40,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rinside(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_41,plain,
rcenter(vd1123,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_42,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_43,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)))']) ).
fof(c_0_44,negated_conjecture,
rinside(vd1125,vd1139),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(247))'])]) ).
cnf(c_0_45,plain,
( ~ rreal(vf(vd1123,vd1125))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).
cnf(c_0_46,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1139)
| ~ rinside(X1,vd1139) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
rpoint(vd1136),
inference(split_conjunct,[status(thm)],['pred(245, 0)']) ).
cnf(c_0_49,plain,
ron(vd1136,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_50,negated_conjecture,
rinside(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
rpoint(vd1124),
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_52,plain,
vd1123 = vd1124,
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_53,plain,
~ rreal(vf(vd1123,vd1125)),
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_45,c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_54,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_30]),c_0_54]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO280+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 06:12:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.XV38XewGM1/E---3.1_31837.p
% 2.68/0.80 # Version: 3.1pre001
% 2.68/0.80 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.68/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.68/0.80 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.68/0.80 # Starting new_bool_3 with 300s (1) cores
% 2.68/0.80 # Starting new_bool_1 with 300s (1) cores
% 2.68/0.80 # Starting sh5l with 300s (1) cores
% 2.68/0.80 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31915 completed with status 0
% 2.68/0.80 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.68/0.80 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.68/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.68/0.80 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.68/0.80 # No SInE strategy applied
% 2.68/0.80 # Search class: FGHSF-FSLM33-SFFFFFNN
% 2.68/0.80 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.68/0.80 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 2.68/0.80 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.68/0.80 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.68/0.80 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.68/0.80 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 2.68/0.80 # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 31923 completed with status 0
% 2.68/0.80 # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 2.68/0.80 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.68/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.68/0.80 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.68/0.80 # No SInE strategy applied
% 2.68/0.80 # Search class: FGHSF-FSLM33-SFFFFFNN
% 2.68/0.80 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.68/0.80 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 2.68/0.80 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.68/0.80 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.68/0.80 # Preprocessing time : 0.015 s
% 2.68/0.80 # Presaturation interreduction done
% 2.68/0.80
% 2.68/0.80 # Proof found!
% 2.68/0.80 # SZS status Theorem
% 2.68/0.80 # SZS output start CNFRefutation
% See solution above
% 2.68/0.80 # Parsed axioms : 115
% 2.68/0.80 # Removed by relevancy pruning/SinE : 0
% 2.68/0.80 # Initial clauses : 275
% 2.68/0.80 # Removed in clause preprocessing : 2
% 2.68/0.80 # Initial clauses in saturation : 273
% 2.68/0.80 # Processed clauses : 1626
% 2.68/0.80 # ...of these trivial : 3
% 2.68/0.80 # ...subsumed : 570
% 2.68/0.80 # ...remaining for further processing : 1053
% 2.68/0.80 # Other redundant clauses eliminated : 1100
% 2.68/0.80 # Clauses deleted for lack of memory : 0
% 2.68/0.80 # Backward-subsumed : 24
% 2.68/0.80 # Backward-rewritten : 8
% 2.68/0.80 # Generated clauses : 3629
% 2.68/0.80 # ...of the previous two non-redundant : 3466
% 2.68/0.80 # ...aggressively subsumed : 0
% 2.68/0.80 # Contextual simplify-reflections : 53
% 2.68/0.80 # Paramodulations : 3373
% 2.68/0.80 # Factorizations : 0
% 2.68/0.80 # NegExts : 0
% 2.68/0.80 # Equation resolutions : 1119
% 2.68/0.80 # Total rewrite steps : 1746
% 2.68/0.80 # Propositional unsat checks : 0
% 2.68/0.80 # Propositional check models : 0
% 2.68/0.80 # Propositional check unsatisfiable : 0
% 2.68/0.80 # Propositional clauses : 0
% 2.68/0.80 # Propositional clauses after purity: 0
% 2.68/0.80 # Propositional unsat core size : 0
% 2.68/0.80 # Propositional preprocessing time : 0.000
% 2.68/0.80 # Propositional encoding time : 0.000
% 2.68/0.80 # Propositional solver time : 0.000
% 2.68/0.80 # Success case prop preproc time : 0.000
% 2.68/0.80 # Success case prop encoding time : 0.000
% 2.68/0.80 # Success case prop solver time : 0.000
% 2.68/0.80 # Current number of processed clauses : 513
% 2.68/0.80 # Positive orientable unit clauses : 27
% 2.68/0.80 # Positive unorientable unit clauses: 0
% 2.68/0.80 # Negative unit clauses : 12
% 2.68/0.80 # Non-unit-clauses : 474
% 2.68/0.80 # Current number of unprocessed clauses: 2265
% 2.68/0.80 # ...number of literals in the above : 27310
% 2.68/0.80 # Current number of archived formulas : 0
% 2.68/0.80 # Current number of archived clauses : 303
% 2.68/0.80 # Clause-clause subsumption calls (NU) : 212504
% 2.68/0.80 # Rec. Clause-clause subsumption calls : 11479
% 2.68/0.80 # Non-unit clause-clause subsumptions : 575
% 2.68/0.80 # Unit Clause-clause subsumption calls : 1585
% 2.68/0.80 # Rewrite failures with RHS unbound : 0
% 2.68/0.80 # BW rewrite match attempts : 2
% 2.68/0.80 # BW rewrite match successes : 2
% 2.68/0.80 # Condensation attempts : 0
% 2.68/0.80 # Condensation successes : 0
% 2.68/0.80 # Termbank termtop insertions : 143553
% 2.68/0.80
% 2.68/0.80 # -------------------------------------------------
% 2.68/0.80 # User time : 0.295 s
% 2.68/0.80 # System time : 0.012 s
% 2.68/0.80 # Total time : 0.307 s
% 2.68/0.80 # Maximum resident set size: 4316 pages
% 2.68/0.80
% 2.68/0.80 # -------------------------------------------------
% 2.68/0.80 # User time : 1.385 s
% 2.68/0.80 # System time : 0.043 s
% 2.68/0.80 # Total time : 1.428 s
% 2.68/0.80 # Maximum resident set size: 2548 pages
% 2.68/0.80 % E---3.1 exiting
% 2.68/0.80 % E---3.1 exiting
%------------------------------------------------------------------------------