%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO279+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 : 300s
% DateTime : Tue May 5 04:20:13 PM UTC 2026
% Result : Theorem 40.83s 26.55s
% Output : CNFRefutation 40.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of formulae : 164 ( 57 unt; 0 def)
% Number of atoms : 727 ( 234 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 1009 ( 446 ~; 458 |; 88 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-7 aty)
% Number of variables : 336 ( 0 sgn 108 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X39,X40] :
( ( X39 != X40
& ? [X41] :
( X40 = X41
& rpoint(X41) )
& ? [X42] :
( X39 = X42
& rpoint(X42) ) )
=> ? [X43] :
( ron(X40,X43)
& rcenter(X39,X43)
& rcircle(X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qe(s1(plural(224)))',axiom,
? [X25] :
( vd1080 = X25
& rpoint(X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X626,X627,X628,X629,X630,X631] :
( ( ron(X630,X629)
& X630 = X631
& rpoint(X631)
& rcenter(X628,X629)
& X626 = X627
& rpoint(X627) )
=> ( vf(X628,X626) = vf(X628,X630)
<=> ron(X626,X629) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('replace(qu(theu(the(228), 1), imp(the(228))))',axiom,
! [X2] :
( ( ron(vd1081,X2)
& rcenter(vd1080,X2)
& rcircle(X2) )
=> X2 = vskolem1095 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(qu(theu(the(228), 1), imp(the(228))))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X93,X94,X95] :
( ( rR(X94,X93,X95)
& ? [X96] :
( X95 = X96
& rpoint(X96) )
& ? [X97] :
( X94 = X97
& rpoint(X97) )
& ? [X98] :
( X93 = X98
& rpoint(X98) ) )
=> vplus(vf(X93,X94),vf(X94,X95)) = vf(X93,X95) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qe(s2(plural(224)))',axiom,
? [X44] :
( vd1081 = X44
& rpoint(X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X717,X718,X719,X720] :
( ( ron(X718,X720)
& rcenter(X719,X720)
& ? [X721] :
( X718 = X721
& rpoint(X721) )
& ? [X722] :
( X717 = X722
& rpoint(X722) ) )
=> ( rless(vf(X719,X717),vf(X719,X718))
<=> rinside(X717,X720) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X45,X46] :
( rcenter(X45,X46)
=> rinside(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('replace(replace(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))))',axiom,
( ron(vd1081,vskolem1095)
& rcenter(vd1080,vskolem1095)
& rcircle(vskolem1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X61,X62] :
( ( ? [X63] :
( X62 = X63
& rpoint(X63) )
& ? [X64] :
( X61 = X64
& rpoint(X64) ) )
=> ( vf(X61,X62) = v0
<=> X61 = X62 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X611,X612] :
( ( ? [X613] :
( X612 = X613
& rpoint(X613) )
& ? [X614] :
( X611 = X614
& rpoint(X614) ) )
=> ? [X615] :
( vf(X611,X612) = X615
& rreal(X615) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qe(232)',conjecture,
? [X1] :
( rR(vd1085,X1,vd1089)
& ron(X1,vd1098)
& ron(X1,vd1101)
& rpoint(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(232)') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X99,X100,X101,X102,X103,X104] :
( ( rless(X99,X101)
& X103 = X104
& rreal(X104)
& X101 = X102
& rreal(X102)
& X99 = X100
& rreal(X100) )
=> rless(vplus(X99,X103),vplus(X101,X103)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X121,X122,X123,X124] :
( ( X123 = X124
& rreal(X124)
& X121 = X122
& rreal(X122) )
=> vplus(X121,X123) = vplus(X123,X121) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X125,X126] :
( ( X125 = X126
& rreal(X126) )
=> vplus(X125,v0) = X125 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('pred(comma_conjunct1(229), 0)',axiom,
ron(vd1096,vd1094),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(comma_conjunct1(229), 0)') ).
fof('replace(pred(228, 2))',axiom,
vd1094 = vskolem1095,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(228, 2))') ).
fof('pred(224, 5)',axiom,
vd1080 != vd1081,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(224, 5)') ).
fof('qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))',axiom,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ( X15 != X13
& ron(X15,X11)
& X15 = X16
& rpoint(X16)
& ron(X13,X11)
& rinside(X13,X9)
& X13 = X14
& rpoint(X14)
& X11 = X12
& rline(X12)
& X9 = X10
& rcircle(X10) )
=> ? [X17] :
( rR(X13,X17,X15)
& ron(X17,X11)
& ron(X17,X9)
& rpoint(X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof('holds(conjunct2(comma_conjunct2(229)), 1097, 0)',axiom,
rR(vd1080,vd1089,vd1096),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(comma_conjunct2(229)), 1097, 0)') ).
fof('pred(226, 0)',axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(226, 0)') ).
fof('pred(229, 0)',axiom,
rpoint(vd1096),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(229, 0)') ).
fof('replace(pred(230, 2))',axiom,
vd1098 = vskolem1099,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(230, 2))') ).
fof('replace(pred(231, 2))',axiom,
vd1101 = vskolem1102,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(231, 2))') ).
fof('pred(225, 1)',axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 1)') ).
fof('pred(225, 4)',axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 4)') ).
fof('holds(226, 1090, 0)',axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X26,X27,X28,X29] :
( ( rinside(X26,X28)
& X28 = X29
& rcircle(X29)
& X26 = X27
& rpoint(X27) )
=> ~ ron(X26,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('replace(replace(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))))',axiom,
( ron(vd1096,vskolem1102)
& rcenter(vd1089,vskolem1102)
& rcircle(vskolem1102) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))))') ).
fof('replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))',axiom,
( ron(vd1085,vskolem1099)
& ron(vd1089,vskolem1099)
& rline(vskolem1099) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))') ).
fof('holds(conjunct1(225), 1087, 0)',axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(c_0_33,plain,
! [X1519,X1520,X1521,X1522] :
( ( ron(X1520,esk4_2(X1519,X1520))
| X1519 = X1520
| X1520 != X1521
| ~ rpoint(X1521)
| X1519 != X1522
| ~ rpoint(X1522) )
& ( rcenter(X1519,esk4_2(X1519,X1520))
| X1519 = X1520
| X1520 != X1521
| ~ rpoint(X1521)
| X1519 != X1522
| ~ rpoint(X1522) )
& ( rcircle(esk4_2(X1519,X1520))
| X1519 = X1520
| X1520 != X1521
| ~ rpoint(X1521)
| X1519 != X1522
| ~ rpoint(X1522) ) ),
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(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).
fof(c_0_34,plain,
( vd1080 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(224)))'])]) ).
fof(c_0_35,plain,
! [X2116,X2117,X2118,X2119,X2120,X2121] :
( ( vf(X2118,X2116) != vf(X2118,X2120)
| ron(X2116,X2119)
| ~ ron(X2120,X2119)
| X2120 != X2121
| ~ rpoint(X2121)
| ~ rcenter(X2118,X2119)
| X2116 != X2117
| ~ rpoint(X2117) )
& ( ~ ron(X2116,X2119)
| vf(X2118,X2116) = vf(X2118,X2120)
| ~ ron(X2120,X2119)
| X2120 != X2121
| ~ rpoint(X2121)
| ~ rcenter(X2118,X2119)
| X2116 != X2117
| ~ rpoint(X2117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).
fof(c_0_36,plain,
! [X1524] :
( ~ ron(vd1081,X1524)
| ~ rcenter(vd1080,X1524)
| ~ rcircle(X1524)
| X1524 = vskolem1095 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['replace(qu(theu(the(228), 1), imp(the(228))))'])]) ).
cnf(c_0_37,plain,
( rcenter(X1,esk4_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
vd1080 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X1583,X1584,X1585,X1586,X1587,X1588] :
( ~ rR(X1584,X1583,X1585)
| X1585 != X1586
| ~ rpoint(X1586)
| X1584 != X1587
| ~ rpoint(X1587)
| X1583 != X1588
| ~ rpoint(X1588)
| vplus(vf(X1583,X1584),vf(X1584,X1585)) = vf(X1583,X1585) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
cnf(c_0_41,plain,
( vf(X3,X1) = vf(X3,X4)
| ~ ron(X1,X2)
| ~ ron(X4,X2)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( X1 = vskolem1095
| ~ ron(vd1081,X1)
| ~ rcenter(vd1080,X1)
| ~ rcircle(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_44,plain,
rpoint(vd1080),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( rcircle(esk4_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_46,plain,
( vd1081 = esk5_0
& rpoint(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(224)))'])]) ).
fof(c_0_47,plain,
! [X2207,X2208,X2209,X2210,X2211,X2212] :
( ( ~ rless(vf(X2209,X2207),vf(X2209,X2208))
| rinside(X2207,X2210)
| ~ ron(X2208,X2210)
| ~ rcenter(X2209,X2210)
| X2208 != X2211
| ~ rpoint(X2211)
| X2207 != X2212
| ~ rpoint(X2212) )
& ( ~ rinside(X2207,X2210)
| rless(vf(X2209,X2207),vf(X2209,X2208))
| ~ ron(X2208,X2210)
| ~ rcenter(X2209,X2210)
| X2208 != X2211
| ~ rpoint(X2211)
| X2207 != X2212
| ~ rpoint(X2212) ) ),
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)))'])])])]) ).
fof(c_0_48,plain,
! [X1526,X1527] :
( ~ rcenter(X1526,X1527)
| rinside(X1526,X1527) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_49,plain,
( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rcenter(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])]) ).
cnf(c_0_51,plain,
rcenter(vd1080,vskolem1095),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))))']) ).
cnf(c_0_52,plain,
( ron(X1,esk4_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,plain,
( esk4_2(vd1080,X1) = vskolem1095
| vd1080 = X1
| ~ rcircle(esk4_2(vd1080,X1))
| ~ rpoint(X1)
| ~ ron(vd1081,esk4_2(vd1080,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_54,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_55,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
vd1081 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,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_47]) ).
cnf(c_0_58,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_59,plain,
! [X1551,X1552,X1553,X1554] :
( ( vf(X1551,X1552) != v0
| X1551 = X1552
| X1552 != X1553
| ~ rpoint(X1553)
| X1551 != X1554
| ~ rpoint(X1554) )
& ( X1551 != X1552
| vf(X1551,X1552) = v0
| X1552 != X1553
| ~ rpoint(X1553)
| X1551 != X1554
| ~ rpoint(X1554) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
fof(c_0_60,plain,
! [X2101,X2102,X2103,X2104] :
( ( vf(X2101,X2102) = esk49_2(X2101,X2102)
| X2102 != X2103
| ~ rpoint(X2103)
| X2101 != X2104
| ~ rpoint(X2104) )
& ( rreal(esk49_2(X2101,X2102))
| X2102 != X2103
| ~ rpoint(X2103)
| X2101 != X2104
| ~ rpoint(X2104) ) ),
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_61,negated_conjecture,
~ ? [X1] :
( rR(vd1085,X1,vd1089)
& ron(X1,vd1098)
& ron(X1,vd1101)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(232)']) ).
fof(c_0_62,plain,
! [X1589,X1590,X1591,X1592,X1593,X1594] :
( ~ rless(X1589,X1591)
| X1593 != X1594
| ~ rreal(X1594)
| X1591 != X1592
| ~ rreal(X1592)
| X1589 != X1590
| ~ rreal(X1590)
| rless(vplus(X1589,X1593),vplus(X1591,X1593)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(c_0_63,plain,
! [X1611,X1612,X1613,X1614] :
( X1613 != X1614
| ~ rreal(X1614)
| X1611 != X1612
| ~ rreal(X1612)
| vplus(X1611,X1613) = vplus(X1613,X1611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
fof(c_0_64,plain,
! [X1615,X1616] :
( X1615 != X1616
| ~ rreal(X1616)
| vplus(X1615,v0) = X1615 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
cnf(c_0_65,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])])]) ).
cnf(c_0_66,plain,
( vf(vd1080,X1) = vf(vd1080,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vskolem1095)
| ~ ron(X1,vskolem1095) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_67,plain,
ron(vd1096,vd1094),
inference(split_conjunct,[status(thm)],['pred(comma_conjunct1(229), 0)']) ).
cnf(c_0_68,plain,
vd1094 = vskolem1095,
inference(split_conjunct,[status(thm)],['replace(pred(228, 2))']) ).
cnf(c_0_69,plain,
( vf(X1,X2) = vf(X1,X3)
| X1 = X4
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X3,esk4_2(X1,X4))
| ~ ron(X2,esk4_2(X1,X4)) ),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
cnf(c_0_70,plain,
( X1 = X2
| ron(X1,esk4_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]) ).
cnf(c_0_71,plain,
( esk4_2(vd1080,X1) = vskolem1095
| vd1080 = X1
| ~ rpoint(X1)
| ~ ron(vd1081,esk4_2(vd1080,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_44])]) ).
cnf(c_0_72,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_73,plain,
vd1080 != vd1081,
inference(split_conjunct,[status(thm)],['pred(224, 5)']) ).
cnf(c_0_74,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])]) ).
cnf(c_0_75,plain,
rinside(vd1080,vskolem1095),
inference(spm,[status(thm)],[c_0_58,c_0_51]) ).
cnf(c_0_76,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_77,plain,
( rreal(esk49_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_78,plain,
( vf(X1,X2) = esk49_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_79,negated_conjecture,
! [X1480] :
( ~ rR(vd1085,X1480,vd1089)
| ~ ron(X1480,vd1098)
| ~ ron(X1480,vd1101)
| ~ rpoint(X1480) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_80,plain,
! [X1488,X1489,X1490,X1491,X1492,X1493,X1494,X1495] :
( ( rR(X1492,esk1_7(X1488,X1489,X1490,X1491,X1492,X1493,X1494),X1494)
| X1494 = X1492
| ~ ron(X1494,X1490)
| X1494 != X1495
| ~ rpoint(X1495)
| ~ ron(X1492,X1490)
| ~ rinside(X1492,X1488)
| X1492 != X1493
| ~ rpoint(X1493)
| X1490 != X1491
| ~ rline(X1491)
| X1488 != X1489
| ~ rcircle(X1489) )
& ( ron(esk1_7(X1488,X1489,X1490,X1491,X1492,X1493,X1494),X1490)
| X1494 = X1492
| ~ ron(X1494,X1490)
| X1494 != X1495
| ~ rpoint(X1495)
| ~ ron(X1492,X1490)
| ~ rinside(X1492,X1488)
| X1492 != X1493
| ~ rpoint(X1493)
| X1490 != X1491
| ~ rline(X1491)
| X1488 != X1489
| ~ rcircle(X1489) )
& ( ron(esk1_7(X1488,X1489,X1490,X1491,X1492,X1493,X1494),X1488)
| X1494 = X1492
| ~ ron(X1494,X1490)
| X1494 != X1495
| ~ rpoint(X1495)
| ~ ron(X1492,X1490)
| ~ rinside(X1492,X1488)
| X1492 != X1493
| ~ rpoint(X1493)
| X1490 != X1491
| ~ rline(X1491)
| X1488 != X1489
| ~ rcircle(X1489) )
& ( rpoint(esk1_7(X1488,X1489,X1490,X1491,X1492,X1493,X1494))
| X1494 = X1492
| ~ ron(X1494,X1490)
| X1494 != X1495
| ~ rpoint(X1495)
| ~ ron(X1492,X1490)
| ~ rinside(X1492,X1488)
| X1492 != X1493
| ~ rpoint(X1493)
| X1490 != X1491
| ~ rline(X1491)
| X1488 != X1489
| ~ rcircle(X1489) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))'])])])])])]) ).
cnf(c_0_81,plain,
( rless(vplus(X1,X3),vplus(X2,X3))
| ~ rless(X1,X2)
| X3 != X4
| ~ rreal(X4)
| X2 != X5
| ~ rreal(X5)
| X1 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_82,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_83,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_84,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_85,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
cnf(c_0_86,plain,
( vplus(vf(X1,vd1080),vf(vd1080,X2)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,vskolem1095)
| ~ ron(X2,vskolem1095)
| ~ rR(vd1080,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_44])]) ).
cnf(c_0_87,plain,
rR(vd1080,vd1089,vd1096),
inference(split_conjunct,[status(thm)],['holds(conjunct2(comma_conjunct2(229)), 1097, 0)']) ).
cnf(c_0_88,plain,
rpoint(vd1089),
inference(split_conjunct,[status(thm)],['pred(226, 0)']) ).
cnf(c_0_89,plain,
rpoint(vd1096),
inference(split_conjunct,[status(thm)],['pred(229, 0)']) ).
cnf(c_0_90,plain,
ron(vd1096,vskolem1095),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_91,plain,
( vf(X1,X2) = vf(X1,X3)
| X1 = X3
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ ron(X2,esk4_2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_92,plain,
esk4_2(vd1080,vd1081) = vskolem1095,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_72]),c_0_44])]),c_0_73]) ).
cnf(c_0_93,plain,
( rless(vf(X1,vd1080),vf(X1,X2))
| ~ rcenter(X1,vskolem1095)
| ~ rpoint(X2)
| ~ ron(X2,vskolem1095) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_44])]) ).
cnf(c_0_94,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_76])])]) ).
cnf(c_0_95,plain,
( rreal(esk49_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_77])]) ).
cnf(c_0_96,plain,
( esk49_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_78])]) ).
cnf(c_0_97,negated_conjecture,
( ~ rR(vd1085,X1,vd1089)
| ~ ron(X1,vd1098)
| ~ ron(X1,vd1101)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,plain,
vd1098 = vskolem1099,
inference(split_conjunct,[status(thm)],['replace(pred(230, 2))']) ).
cnf(c_0_99,plain,
vd1101 = vskolem1102,
inference(split_conjunct,[status(thm)],['replace(pred(231, 2))']) ).
cnf(c_0_100,plain,
( rR(X1,esk1_7(X2,X3,X4,X5,X1,X6,X7),X7)
| X7 = X1
| ~ ron(X7,X4)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X1,X4)
| ~ rinside(X1,X2)
| X1 != X6
| ~ rpoint(X6)
| X4 != X5
| ~ rline(X5)
| X2 != X3
| ~ rcircle(X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_101,plain,
rpoint(vd1086),
inference(split_conjunct,[status(thm)],['pred(225, 1)']) ).
cnf(c_0_102,plain,
vd1085 = vd1086,
inference(split_conjunct,[status(thm)],['pred(225, 4)']) ).
cnf(c_0_103,plain,
( rless(vplus(X1,X2),vplus(X3,X2))
| ~ rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_81])])]) ).
cnf(c_0_104,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_82])]) ).
cnf(c_0_105,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_106,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_107,plain,
( vplus(vf(vd1089,vd1080),vf(vd1080,X1)) = vf(vd1089,vd1096)
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89]),c_0_90])]) ).
cnf(c_0_108,plain,
( vf(vd1080,X1) = vf(vd1080,vd1081)
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_72]),c_0_44])]),c_0_73]) ).
cnf(c_0_109,plain,
( rless(v0,vf(vd1080,X1))
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_51]),c_0_44])]) ).
cnf(c_0_110,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_111,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vskolem1099)
| ~ ron(X1,vskolem1102)
| ~ rR(vd1085,X1,vd1089) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_112,plain,
( X1 = X2
| rR(X1,esk1_7(X3,X3,X4,X4,X1,X1,X2),X2)
| ~ rline(X4)
| ~ rinside(X1,X3)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_100])])])]) ).
cnf(c_0_113,plain,
rpoint(vd1085),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( ron(esk1_7(X1,X2,X3,X4,X5,X6,X7),X1)
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_115,plain,
( rinside(X2,X4)
| ~ rless(vf(X1,X2),vf(X1,X3))
| ~ ron(X3,X4)
| ~ rcenter(X1,X4)
| X3 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_116,plain,
( rless(vplus(X1,X2),vplus(X2,X3))
| ~ rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_106])]) ).
cnf(c_0_118,plain,
( vplus(vf(vd1089,vd1080),vf(vd1080,vd1081)) = vf(vd1089,vd1096)
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_119,plain,
ron(vd1081,vskolem1095),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))))']) ).
cnf(c_0_120,plain,
( rless(v0,vf(vd1080,vd1081))
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_121,plain,
( rreal(vf(vd1080,vd1081))
| ~ rpoint(X1)
| ~ ron(X1,vskolem1095) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_108]),c_0_44])]) ).
cnf(c_0_122,plain,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
inference(split_conjunct,[status(thm)],['holds(226, 1090, 0)']) ).
fof(c_0_123,plain,
! [X26,X27,X28,X29] :
( ( rinside(X26,X28)
& X28 = X29
& rcircle(X29)
& X26 = X27
& rpoint(X27) )
=> ~ ron(X26,X28) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).
cnf(c_0_124,negated_conjecture,
( vd1085 = vd1089
| ~ rline(X1)
| ~ rinside(vd1085,X2)
| ~ rcircle(X2)
| ~ rpoint(esk1_7(X2,X2,X1,X1,vd1085,vd1085,vd1089))
| ~ ron(esk1_7(X2,X2,X1,X1,vd1085,vd1085,vd1089),vskolem1099)
| ~ ron(esk1_7(X2,X2,X1,X1,vd1085,vd1085,vd1089),vskolem1102)
| ~ ron(vd1089,X1)
| ~ ron(vd1085,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_88]),c_0_113])]) ).
cnf(c_0_125,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X3)
| ~ rline(X4)
| ~ rinside(X1,X3)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_114])])])]) ).
cnf(c_0_126,plain,
rcircle(vskolem1102),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))))']) ).
cnf(c_0_127,plain,
( ron(esk1_7(X1,X2,X3,X4,X5,X6,X7),X3)
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_128,plain,
( rinside(X1,X2)
| ~ rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_115])]) ).
cnf(c_0_129,plain,
( rless(X1,vplus(X1,X2))
| ~ rless(v0,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_106])]) ).
cnf(c_0_130,plain,
vplus(vf(vd1089,vd1080),vf(vd1080,vd1081)) = vf(vd1089,vd1096),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_72])]) ).
cnf(c_0_131,plain,
rless(v0,vf(vd1080,vd1081)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_72])]) ).
cnf(c_0_132,plain,
rreal(vf(vd1080,vd1081)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_72])]) ).
cnf(c_0_133,plain,
rreal(vf(vd1089,vd1080)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_122]),c_0_88]),c_0_113])]) ).
fof(c_0_134,plain,
! [X1506,X1507,X1508,X1509] :
( ~ rinside(X1506,X1508)
| X1508 != X1509
| ~ rcircle(X1509)
| X1506 != X1507
| ~ rpoint(X1507)
| ~ ron(X1506,X1508) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])]) ).
cnf(c_0_135,plain,
( ron(X2,X4)
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| X3 != X5
| ~ rpoint(X5)
| ~ rcenter(X1,X4)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_136,negated_conjecture,
( vd1085 = vd1089
| ~ rline(X1)
| ~ rinside(vd1085,vskolem1102)
| ~ rpoint(esk1_7(vskolem1102,vskolem1102,X1,X1,vd1085,vd1085,vd1089))
| ~ ron(esk1_7(vskolem1102,vskolem1102,X1,X1,vd1085,vd1085,vd1089),vskolem1099)
| ~ ron(vd1089,X1)
| ~ ron(vd1085,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_88]),c_0_113])]) ).
cnf(c_0_137,plain,
( X1 = X2
| ron(esk1_7(X3,X3,X4,X4,X1,X1,X2),X4)
| ~ rline(X4)
| ~ rinside(X1,X3)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_127])])])]) ).
cnf(c_0_138,plain,
rline(vskolem1099),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))']) ).
cnf(c_0_139,plain,
ron(vd1089,vskolem1099),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))']) ).
cnf(c_0_140,plain,
ron(vd1085,vskolem1099),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))']) ).
cnf(c_0_141,plain,
( rpoint(esk1_7(X1,X2,X3,X4,X5,X6,X7))
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_142,plain,
( rinside(vd1085,X1)
| ~ rless(vf(vd1089,vd1080),vf(vd1089,X2))
| ~ rcenter(vd1089,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_122]),c_0_113])]) ).
cnf(c_0_143,plain,
rless(vf(vd1089,vd1080),vf(vd1089,vd1096)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_132]),c_0_133])]) ).
cnf(c_0_144,plain,
( ~ rinside(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rpoint(X4)
| ~ ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_145,plain,
( ron(X1,X2)
| vf(X3,X1) != vf(X3,X4)
| ~ rcenter(X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_135])]) ).
cnf(c_0_146,negated_conjecture,
( vd1085 = vd1089
| ~ rinside(vd1085,vskolem1102)
| ~ rpoint(esk1_7(vskolem1102,vskolem1102,vskolem1099,vskolem1099,vd1085,vd1085,vd1089)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139]),c_0_140]),c_0_126]),c_0_88]),c_0_113])]) ).
cnf(c_0_147,plain,
( X1 = X2
| rpoint(esk1_7(X3,X3,X4,X4,X1,X1,X2))
| ~ rline(X4)
| ~ rinside(X1,X3)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_141])])])]) ).
cnf(c_0_148,plain,
( rinside(vd1085,X1)
| ~ rcenter(vd1089,X1)
| ~ ron(vd1096,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_89])]) ).
cnf(c_0_149,plain,
rcenter(vd1089,vskolem1102),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))))']) ).
cnf(c_0_150,plain,
ron(vd1096,vskolem1102),
inference(split_conjunct,[status(thm)],['replace(replace(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))))']) ).
cnf(c_0_151,plain,
( ~ rinside(X1,X2)
| ~ rcircle(X2)
| ~ rpoint(X1)
| ~ ron(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_144])]) ).
cnf(c_0_152,plain,
( X1 = X2
| rinside(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_43]) ).
cnf(c_0_153,plain,
( X1 = X2
| ron(X3,esk4_2(X1,X2))
| vf(X1,X3) != vf(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X4,esk4_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_145,c_0_43]) ).
cnf(c_0_154,negated_conjecture,
( vd1085 = vd1089
| ~ rinside(vd1085,vskolem1102) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_138]),c_0_126]),c_0_88]),c_0_113]),c_0_139]),c_0_140])]) ).
cnf(c_0_155,plain,
rinside(vd1085,vskolem1102),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]) ).
cnf(c_0_156,plain,
( X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,esk4_2(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_54]) ).
cnf(c_0_157,plain,
( X1 = X2
| ron(X3,esk4_2(X1,X2))
| vf(X1,X3) != vf(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_70]) ).
cnf(c_0_158,negated_conjecture,
vd1085 = vd1089,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
cnf(c_0_159,plain,
vd1085 != vd1080,
inference(split_conjunct,[status(thm)],['holds(conjunct1(225), 1087, 0)']) ).
cnf(c_0_160,plain,
( X1 = X2
| vf(X1,X1) != vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1089),
inference(rw,[status(thm)],[c_0_122,c_0_158]) ).
cnf(c_0_162,plain,
vd1080 != vd1089,
inference(rw,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_163,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_88]),c_0_44])]),c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO279+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n014.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 17:52:21 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 40.83/26.55 % Version : CSE_E---1.7
% 40.83/26.55 % Problem : theBenchmark.p
% 40.83/26.55 % SZS status Theorem for theBenchmark.p
% 40.83/26.55 % SZS output start CNFRefutation
% See solution above
% 40.93/26.64 % Total time : 22.466s
%------------------------------------------------------------------------------