TSTP Solution File: GEO341+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO341+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 04:05:30 EDT 2022
% Result : Theorem 1.24s 210.42s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 30 unt; 0 def)
% Number of atoms : 421 ( 182 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 601 ( 248 ~; 279 |; 68 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 181 ( 0 sgn 53 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(goal(340), 0), 1)',axiom,
! [X10,X11,X12] :
( ( vf(X10,X11) = vf(X10,X12)
& X11 != X12
& X10 != X12
& X10 != X11
& ? [X13] :
( X12 = X13
& rpoint(X13) )
& ? [X14] :
( X11 = X14
& rpoint(X14) )
& ? [X15] :
( X10 = X15
& rpoint(X15) ) )
=> ! [X16,X17,X18,X19] :
( ( X16 = X17
& X18 = X19
& rR(X12,X10,X18)
& rpoint(X19)
& rR(X11,X10,X16)
& rpoint(X17) )
=> vangle(X10,X11,X12) = vangle(X10,X12,X11) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','ass(cond(goal(340), 0), 1)') ).
fof('qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))',axiom,
! [X602,X603,X604,X605] :
( ( X604 != X605
& ron(X605,X602)
& ron(X604,X602)
& ? [X606] :
( X605 = X606
& rpoint(X606) )
& ? [X607] :
( X604 = X607
& rpoint(X607) )
& X602 = X603
& rline(X603) )
=> ? [X608] :
( rR(X605,X604,X608)
& rpoint(X608) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X122,X123] :
( ( X122 != X123
& ? [X124] :
( X123 = X124
& rpoint(X124) )
& ? [X125] :
( X122 = X125
& rpoint(X125) ) )
=> ? [X126] :
( ron(X123,X126)
& ron(X122,X126)
& rline(X126) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
! [X94,X95,X96,X97] :
( ( rS(X94,X95,X96)
& X96 = X97
& rline(X97)
& ? [X98] :
( X95 = X98
& rpoint(X98) )
& ? [X99] :
( X94 = X99
& rpoint(X99) ) )
=> rS(X95,X94,X96) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X1] :
( vd1401 = X1
& rpoint(X1) )
& ? [X2] :
( vd1400 = X2
& rpoint(X2) )
& ? [X3] :
( vd1399 = X3
& rpoint(X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof('holds(407, 1414, 0)',conjecture,
vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','holds(407, 1414, 0)') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X88,X89,X90,X91] :
( ( rS(X88,X89,X90)
& X90 = X91
& rline(X91)
& ? [X92] :
( X89 = X92
& rpoint(X92) )
& ? [X93] :
( X88 = X93
& rpoint(X93) ) )
=> ~ ron(X88,X90) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('holds(conjunct1(406), 1410, 0)',axiom,
rS(vd1401,vd1409,vd1406),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).
fof('pred(406, 0)',axiom,
rpoint(vd1409),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','pred(406, 0)') ).
fof('holds(conjunct1(conjunct2(406)), 1411, 0)',axiom,
vf(vd1399,vd1401) = vf(vd1399,vd1409),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(conjunct2(406)), 1411, 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)',axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(c_0_11,plain,
! [X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( vf(X20,X21) != vf(X20,X22)
| X21 = X22
| X20 = X22
| X20 = X21
| X22 != X23
| ~ rpoint(X23)
| X21 != X24
| ~ rpoint(X24)
| X20 != X25
| ~ rpoint(X25)
| X26 != X27
| X28 != X29
| ~ rR(X22,X20,X28)
| ~ rpoint(X29)
| ~ rR(X21,X20,X26)
| ~ rpoint(X27)
| vangle(X20,X21,X22) = vangle(X20,X22,X21) ),
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)],['ass(cond(goal(340), 0), 1)'])])])])]) ).
fof(c_0_12,plain,
! [X609,X610,X611,X612,X613,X614] :
( ( rR(X612,X611,esk39_4(X609,X610,X611,X612))
| X611 = X612
| ~ ron(X612,X609)
| ~ ron(X611,X609)
| X612 != X613
| ~ rpoint(X613)
| X611 != X614
| ~ rpoint(X614)
| X609 != X610
| ~ rline(X610) )
& ( rpoint(esk39_4(X609,X610,X611,X612))
| X611 = X612
| ~ ron(X612,X609)
| ~ ron(X611,X609)
| X612 != X613
| ~ rpoint(X613)
| X611 != X614
| ~ rpoint(X614)
| X609 != X610
| ~ rline(X610) ) ),
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(29), 0), imp(cond(axiom(29), 0)))'])])])])])])]) ).
cnf(c_0_13,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rpoint(X4)
| ~ rR(X2,X1,X5)
| ~ rpoint(X6)
| ~ rR(X3,X1,X7)
| X7 != X6
| X5 != X4
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| vf(X1,X2) != vf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( X4 = X6
| rR(X6,X4,esk39_4(X2,X1,X4,X6))
| ~ rline(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ ron(X4,X2)
| ~ ron(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rR(X3,X1,X4)
| ~ rR(X2,X1,X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])]) ).
cnf(c_0_16,plain,
( X1 = X2
| rR(X2,X1,esk39_4(X3,X3,X1,X2))
| ~ rline(X3)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])]) ).
cnf(c_0_17,plain,
( X4 = X6
| rpoint(esk39_4(X2,X1,X4,X6))
| ~ rline(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ ron(X4,X2)
| ~ ron(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rR(X2,X1,X4)
| ~ rline(X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ rpoint(esk39_4(X5,X5,X1,X3))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( X1 = X2
| rpoint(esk39_4(X3,X3,X1,X2))
| ~ rline(X3)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])])]) ).
cnf(c_0_20,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rR(X2,X1,X4)
| ~ rline(X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_21,plain,
! [X127,X128,X129,X130] :
( ( ron(X128,esk8_2(X127,X128))
| X127 = X128
| X128 != X129
| ~ rpoint(X129)
| X127 != X130
| ~ rpoint(X130) )
& ( ron(X127,esk8_2(X127,X128))
| X127 = X128
| X128 != X129
| ~ rpoint(X129)
| X127 != X130
| ~ rpoint(X130) )
& ( rline(esk8_2(X127,X128))
| X127 = X128
| X128 != X129
| ~ rpoint(X129)
| X127 != X130
| ~ rpoint(X130) ) ),
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(51), 0), imp(cond(axiom(51), 0)))'])])])])])])]) ).
cnf(c_0_22,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(X4)
| ~ rline(X5)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rpoint(esk39_4(X5,X5,X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,plain,
( X2 = X4
| ron(X4,esk8_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(X4)
| ~ rline(X5)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_25,plain,
( X1 = X2
| ron(X2,esk8_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_26,plain,
( X2 = X4
| ron(X2,esk8_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| X4 = X3
| vf(X1,X2) != vf(X1,X3)
| ~ rline(esk8_2(X4,X3))
| ~ rline(X5)
| ~ ron(X1,esk8_2(X4,X3))
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( X1 = X2
| ron(X1,esk8_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).
cnf(c_0_29,plain,
( X2 = X4
| rline(esk8_2(X2,X4))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(esk8_2(X1,X3))
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( X1 = X2
| rline(esk8_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
fof(c_0_32,plain,
! [X100,X101,X102,X103,X104,X105] :
( ~ rS(X100,X101,X102)
| X102 != X103
| ~ rline(X103)
| X101 != X104
| ~ rpoint(X104)
| X100 != X105
| ~ rpoint(X105)
| rS(X101,X100,X102) ),
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(97), 0), imp(cond(axiom(97), 0)))'])])])])]) ).
fof(c_0_33,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk1_0
& rpoint(esk1_0)
& vd1400 = esk2_0
& rpoint(esk2_0)
& vd1399 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])])])]) ).
fof(c_0_34,negated_conjecture,
vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
inference(assume_negation,[status(cth)],['holds(407, 1414, 0)']) ).
cnf(c_0_35,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X94,X95,X96,X97,X98,X99] :
( ~ rS(X94,X95,X96)
| X96 != X97
| ~ rline(X97)
| X95 != X98
| ~ rpoint(X98)
| X94 != X99
| ~ rpoint(X99)
| ~ ron(X94,X96) ),
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)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))'])])])])])]) ).
cnf(c_0_37,plain,
( rS(X1,X2,X3)
| ~ rpoint(X4)
| X2 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X6)
| X3 != X6
| ~ rS(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
rS(vd1401,vd1409,vd1406),
inference(split_conjunct,[status(thm)],['holds(conjunct1(406), 1410, 0)']) ).
cnf(c_0_39,plain,
vd1401 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
vd1406 = vd1407,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,negated_conjecture,
vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| X4 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(esk8_2(X4,X2))
| ~ ron(X1,esk8_2(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_43,plain,
( ~ ron(X1,X2)
| ~ rpoint(X3)
| X1 != X3
| ~ rpoint(X4)
| X5 != X4
| ~ rline(X6)
| X2 != X6
| ~ rS(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( rS(X1,X2,X3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rS(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])]) ).
cnf(c_0_45,plain,
rS(esk1_0,vd1409,vd1407),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_46,plain,
rline(vd1407),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
rpoint(vd1409),
inference(split_conjunct,[status(thm)],['pred(406, 0)']) ).
cnf(c_0_48,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
vd1399 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rline(esk8_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_28]) ).
cnf(c_0_52,plain,
vf(vd1399,vd1401) = vf(vd1399,vd1409),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(406)), 1411, 0)']) ).
cnf(c_0_53,plain,
vd1409 != vd1401,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)']) ).
cnf(c_0_54,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_55,plain,
( ~ rline(X1)
| ~ ron(X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rS(X2,X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])])]) ).
cnf(c_0_56,plain,
rS(vd1409,esk1_0,vd1407),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_57,negated_conjecture,
vangle(esk3_0,vd1409,esk1_0) != vangle(esk3_0,esk1_0,vd1409),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_39]),c_0_39]),c_0_50]),c_0_50]) ).
cnf(c_0_58,plain,
( vangle(X1,X2,X3) = vangle(X1,X3,X2)
| X2 = X3
| X1 = X3
| X1 = X2
| vf(X1,X2) != vf(X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_59,plain,
vf(esk3_0,vd1409) = vf(esk3_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_50]),c_0_39]),c_0_50]) ).
cnf(c_0_60,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_61,plain,
vd1409 != esk1_0,
inference(rw,[status(thm)],[c_0_53,c_0_39]) ).
cnf(c_0_62,plain,
esk3_0 != esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_39]),c_0_50]) ).
cnf(c_0_63,plain,
ron(vd1399,vd1406),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_64,plain,
~ ron(vd1409,vd1407),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46]),c_0_48]),c_0_47])]) ).
cnf(c_0_65,negated_conjecture,
vd1409 = esk3_0,
inference(sr,[status(thm)],[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(pm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_47]),c_0_48]),c_0_60])]),c_0_61]),c_0_62]) ).
cnf(c_0_66,plain,
ron(esk3_0,vd1407),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_50]),c_0_40]) ).
cnf(c_0_67,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO341+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.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 07:07:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.43 eprover: CPU time limit exceeded, terminating
% 0.45/46.43 eprover: CPU time limit exceeded, terminating
% 0.45/46.45 eprover: CPU time limit exceeded, terminating
% 0.45/46.47 eprover: CPU time limit exceeded, terminating
% 0.57/69.45 eprover: CPU time limit exceeded, terminating
% 0.57/69.46 eprover: CPU time limit exceeded, terminating
% 0.57/69.47 eprover: CPU time limit exceeded, terminating
% 0.57/69.48 eprover: CPU time limit exceeded, terminating
% 0.66/92.48 eprover: CPU time limit exceeded, terminating
% 0.66/92.48 eprover: CPU time limit exceeded, terminating
% 0.66/92.49 eprover: CPU time limit exceeded, terminating
% 0.66/92.49 eprover: CPU time limit exceeded, terminating
% 0.78/115.50 eprover: CPU time limit exceeded, terminating
% 0.78/115.50 eprover: CPU time limit exceeded, terminating
% 0.78/115.51 eprover: CPU time limit exceeded, terminating
% 0.78/115.52 eprover: CPU time limit exceeded, terminating
% 0.90/138.52 eprover: CPU time limit exceeded, terminating
% 0.90/138.53 eprover: CPU time limit exceeded, terminating
% 0.90/138.55 eprover: CPU time limit exceeded, terminating
% 0.90/138.55 eprover: CPU time limit exceeded, terminating
% 1.00/161.55 eprover: CPU time limit exceeded, terminating
% 1.00/161.55 eprover: CPU time limit exceeded, terminating
% 1.00/161.57 eprover: CPU time limit exceeded, terminating
% 1.00/161.57 eprover: CPU time limit exceeded, terminating
% 1.12/184.57 eprover: CPU time limit exceeded, terminating
% 1.12/184.58 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.12/184.58
% 1.12/184.58 eprover: CPU time limit exceeded, terminating
% 1.23/207.58 eprover: CPU time limit exceeded, terminating
% 1.23/207.59 eprover: CPU time limit exceeded, terminating
% 1.23/207.59 eprover: CPU time limit exceeded, terminating
% 1.23/207.63 eprover: CPU time limit exceeded, terminating
% 1.24/210.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.24/210.42 # Preprocessing time : 0.049 s
% 1.24/210.42 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.24/210.42 # Preprocessing time : 0.041 s
% 1.24/210.42 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 1.24/210.42 # Preprocessing time : 0.054 s
% 1.24/210.42 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # Preprocessing time : 0.069 s
% 1.24/210.42 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 1.24/210.42 # Preprocessing time : 0.027 s
% 1.24/210.42 # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # Preprocessing time : 0.066 s
% 1.24/210.42 # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 1.24/210.42 # Preprocessing time : 0.027 s
% 1.24/210.42 # Running protocol protocol_eprover_2e85aeff02a0bd3743f362014f6604d7fba54d74 for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.24/210.42 # Preprocessing time : 0.025 s
% 1.24/210.42 # Running protocol protocol_eprover_334d43c175335e554899225728a5c2ebd420f86b for 23 seconds:
% 1.24/210.42
% 1.24/210.42 # Failure: Resource limit exceeded (time)
% 1.24/210.42 # OLD status Res
% 1.24/210.42 # Preprocessing time : 0.032 s
% 1.24/210.42 # Running protocol protocol_eprover_13918ce26d63c8fe682016bfda2032977bcbf85b for 23 seconds:
% 1.24/210.42 # Preprocessing time : 0.032 s
% 1.24/210.42
% 1.24/210.42 # Proof found!
% 1.24/210.42 # SZS status Theorem
% 1.24/210.42 # SZS output start CNFRefutation
% See solution above
% 1.24/210.42 # Proof object total steps : 68
% 1.24/210.42 # Proof object clause steps : 49
% 1.24/210.42 # Proof object formula steps : 19
% 1.24/210.42 # Proof object conjectures : 6
% 1.24/210.42 # Proof object clause conjectures : 3
% 1.24/210.42 # Proof object formula conjectures : 3
% 1.24/210.42 # Proof object initial clauses used : 21
% 1.24/210.42 # Proof object initial formulas used : 11
% 1.24/210.42 # Proof object generating inferences : 13
% 1.24/210.42 # Proof object simplifying inferences : 55
% 1.24/210.42 # Training examples: 0 positive, 0 negative
% 1.24/210.42 # Parsed axioms : 123
% 1.24/210.42 # Removed by relevancy pruning/SinE : 0
% 1.24/210.42 # Initial clauses : 290
% 1.24/210.42 # Removed in clause preprocessing : 2
% 1.24/210.42 # Initial clauses in saturation : 288
% 1.24/210.42 # Processed clauses : 5372
% 1.24/210.42 # ...of these trivial : 7
% 1.24/210.42 # ...subsumed : 3518
% 1.24/210.42 # ...remaining for further processing : 1847
% 1.24/210.42 # Other redundant clauses eliminated : 1197
% 1.24/210.42 # Clauses deleted for lack of memory : 0
% 1.24/210.42 # Backward-subsumed : 143
% 1.24/210.42 # Backward-rewritten : 494
% 1.24/210.42 # Generated clauses : 94592
% 1.24/210.42 # ...of the previous two non-trivial : 91165
% 1.24/210.42 # Contextual simplify-reflections : 0
% 1.24/210.42 # Paramodulations : 94311
% 1.24/210.42 # Factorizations : 1
% 1.24/210.42 # Equation resolutions : 1222
% 1.24/210.42 # Current number of processed clauses : 955
% 1.24/210.42 # Positive orientable unit clauses : 26
% 1.24/210.42 # Positive unorientable unit clauses: 0
% 1.24/210.42 # Negative unit clauses : 8
% 1.24/210.42 # Non-unit-clauses : 921
% 1.24/210.42 # Current number of unprocessed clauses: 75474
% 1.24/210.42 # ...number of literals in the above : 1389477
% 1.24/210.42 # Current number of archived formulas : 0
% 1.24/210.42 # Current number of archived clauses : 637
% 1.24/210.42 # Clause-clause subsumption calls (NU) : 290943
% 1.24/210.42 # Rec. Clause-clause subsumption calls : 9939
% 1.24/210.42 # Non-unit clause-clause subsumptions : 3620
% 1.24/210.42 # Unit Clause-clause subsumption calls : 1950
% 1.24/210.42 # Rewrite failures with RHS unbound : 0
% 1.24/210.42 # BW rewrite match attempts : 6
% 1.24/210.42 # BW rewrite match successes : 6
% 1.24/210.42 # Condensation attempts : 0
% 1.24/210.42 # Condensation successes : 0
% 1.24/210.42 # Termbank termtop insertions : 2374507
% 1.24/210.42
% 1.24/210.42 # -------------------------------------------------
% 1.24/210.42 # User time : 1.758 s
% 1.24/210.42 # System time : 0.064 s
% 1.24/210.42 # Total time : 1.822 s
% 1.24/210.42 # Maximum resident set size: 120396 pages
% 1.24/230.61 eprover: CPU time limit exceeded, terminating
% 1.24/230.62 eprover: CPU time limit exceeded, terminating
% 1.24/230.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.24/230.62 eprover: No such file or directory
% 1.24/230.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.24/230.63 eprover: No such file or directory
% 1.24/230.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.24/230.63 eprover: No such file or directory
% 1.24/230.64 eprover: CPU time limit exceeded, terminating
% 1.24/230.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.24/230.64 eprover: No such file or directory
% 1.24/230.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.24/230.65 eprover: No such file or directory
% 1.24/230.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.24/230.66 eprover: No such file or directory
%------------------------------------------------------------------------------