TSTP Solution File: GEO286+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO286+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 Aug 22 10:39:00 EDT 2023
% Result : Theorem 26.88s 11.57s
% Output : CNFRefutation 26.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 98
% Syntax : Number of formulae : 133 ( 22 unt; 90 typ; 0 def)
% Number of atoms : 183 ( 12 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 245 ( 105 ~; 106 |; 32 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 280 ( 69 >; 211 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 76 ( 76 usr; 21 con; 0-18 aty)
% Number of variables : 39 (; 37 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vskolem1147 > vskolem1146 > vskolem1145 > vskolem1140 > vskolem1139 > vskolem1138 > vskolem1136 > vperp > vd684 > vd14 > vd1152 > vd1151 > vd1130 > vd1129 > vd1128 > vd1127 > vd1126 > vd1125 > vd1124 > vd1123 > v0 > #skF_33 > #skF_35 > #skF_29 > #skF_17 > #skF_37 > #skF_31 > #skF_41 > #skF_30 > #skF_6 > #skF_34 > #skF_13 > #skF_46 > #skF_4 > #skF_10 > #skF_20 > #skF_9 > #skF_45 > #skF_27 > #skF_18 > #skF_19 > #skF_44 > #skF_12 > #skF_3 > #skF_39 > #skF_48 > #skF_42 > #skF_25 > #skF_47 > #skF_32 > #skF_16 > #skF_11 > #skF_8 > #skF_26 > #skF_15 > #skF_43 > #skF_24 > #skF_28 > #skF_14 > #skF_38 > #skF_2 > #skF_40 > #skF_36 > #skF_7 > #skF_1 > #skF_21 > #skF_5 > #skF_22 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(vd1124,type,
vd1124: $i ).
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff(vd1123,type,
vd1123: $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff(vskolem1139,type,
vskolem1139: $i ).
tff(vskolem1138,type,
vskolem1138: $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1147,type,
vskolem1147: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1145,type,
vskolem1145: $i ).
tff(vd1128,type,
vd1128: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(vd1152,type,
vd1152: $i ).
tff(vd1130,type,
vd1130: $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i ) > $i ).
tff(vd1151,type,
vd1151: $i ).
tff(vd1129,type,
vd1129: $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1136,type,
vskolem1136: $i ).
tff(vd1126,type,
vd1126: $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(vskolem1140,type,
vskolem1140: $i ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vskolem1146,type,
vskolem1146: $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff(vd1127,type,
vd1127: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff(vd1125,type,
vd1125: $i ).
tff(f_40,axiom,
~ ron(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg(neg(comma_conjunct2(260)))) ).
tff(f_42,axiom,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg(neg(260))) ).
tff(f_51,axiom,
( ron(vd1127,vd1152)
& rcenter(vd1123,vd1152)
& rcircle(vd1152)
& ron(vd1125,vd1151)
& ron(vd1123,vd1151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))),0),and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))),0),and(pred(comma_conjunct2(comma_conjunct2(259)),0),pred(comma_conjunct1(comma_conjunct2(259)),0)))),pred(comma_conjunct1(259),0))) ).
tff(f_75,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/benchmark/theBenchmark.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)))) ).
tff(f_1537,axiom,
! [Vd334,Vd335] :
( rcenter(Vd334,Vd335)
=> rinside(Vd334,Vd335) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(77),0),imp(cond(axiom(77),0)))) ).
tff(f_278,axiom,
! [Vd253,Vd254,Vd255,Vd256,Vd257,Vd258,Vd259,Vd260] :
( ( ron(Vd259,Vd255)
& ~ ron(Vd259,Vd253)
& ~ rinside(Vd259,Vd253)
& ( Vd259 = Vd260 )
& rpoint(Vd260)
& ron(Vd257,Vd255)
& rinside(Vd257,Vd253)
& ( Vd257 = Vd258 )
& rpoint(Vd258)
& ( Vd255 = Vd256 )
& rline(Vd256)
& ( Vd253 = Vd254 )
& rcircle(Vd254) )
=> ? [Vd261] :
( rR(Vd261,Vd257,Vd259)
& ron(Vd261,Vd253)
& ron(Vd261,Vd255)
& rpoint(Vd261) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(61),0),imp(cond(axiom(61),0)))) ).
tff(f_38,negated_conjecture,
~ ? [Vd1153] :
( rR(Vd1153,vd1123,vd1125)
& ron(Vd1153,vd1152)
& ron(Vd1153,vd1151)
& rpoint(Vd1153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qe(261)) ).
tff(f_126,axiom,
rline(vd1151),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred(259,0)) ).
tff(c_4,plain,
~ ron(vd1125,vd1152),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_6,plain,
~ rinside(vd1125,vd1152),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_10,plain,
ron(vd1125,vd1151),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_26,plain,
vd1126 = vd1125,
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_24,plain,
rpoint(vd1126),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_610,plain,
rpoint(vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24]) ).
tff(c_8,plain,
ron(vd1123,vd1151),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
rcenter(vd1123,vd1152),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_284,plain,
! [Vd334_483,Vd335_484] :
( rinside(Vd334_483,Vd335_484)
| ~ rcenter(Vd334_483,Vd335_484) ),
inference(cnfTransformation,[status(thm)],[f_1537]) ).
tff(c_22,plain,
vd1124 = vd1123,
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_20,plain,
rpoint(vd1124),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_611,plain,
rpoint(vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20]) ).
tff(c_12,plain,
rcircle(vd1152),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_86,plain,
! [Vd258_68,Vd256_66,Vd254_64,Vd260_70] :
( ron('#skF_4'(Vd258_68,Vd256_66,Vd258_68,Vd254_64,Vd254_64,Vd260_70,Vd256_66,Vd260_70),Vd254_64)
| ~ rcircle(Vd254_64)
| ~ rline(Vd256_66)
| ~ rpoint(Vd258_68)
| ~ rinside(Vd258_68,Vd254_64)
| ~ ron(Vd258_68,Vd256_66)
| ~ rpoint(Vd260_70)
| rinside(Vd260_70,Vd254_64)
| ron(Vd260_70,Vd254_64)
| ~ ron(Vd260_70,Vd256_66) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_28459,plain,
! [Vd258_1934,Vd256_1935,Vd254_1936,Vd260_1937] :
( rR('#skF_4'(Vd258_1934,Vd256_1935,Vd258_1934,Vd254_1936,Vd254_1936,Vd260_1937,Vd256_1935,Vd260_1937),Vd258_1934,Vd260_1937)
| ~ rcircle(Vd254_1936)
| ~ rline(Vd256_1935)
| ~ rpoint(Vd258_1934)
| ~ rinside(Vd258_1934,Vd254_1936)
| ~ ron(Vd258_1934,Vd256_1935)
| ~ rpoint(Vd260_1937)
| rinside(Vd260_1937,Vd254_1936)
| ron(Vd260_1937,Vd254_1936)
| ~ ron(Vd260_1937,Vd256_1935) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_2,plain,
! [Vd1153_1] :
( ~ rpoint(Vd1153_1)
| ~ ron(Vd1153_1,vd1151)
| ~ ron(Vd1153_1,vd1152)
| ~ rR(Vd1153_1,vd1123,vd1125) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_28487,plain,
! [Vd256_1935,Vd254_1936] :
( ~ rpoint('#skF_4'(vd1123,Vd256_1935,vd1123,Vd254_1936,Vd254_1936,vd1125,Vd256_1935,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_1935,vd1123,Vd254_1936,Vd254_1936,vd1125,Vd256_1935,vd1125),vd1151)
| ~ ron('#skF_4'(vd1123,Vd256_1935,vd1123,Vd254_1936,Vd254_1936,vd1125,Vd256_1935,vd1125),vd1152)
| ~ rcircle(Vd254_1936)
| ~ rline(Vd256_1935)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,Vd254_1936)
| ~ ron(vd1123,Vd256_1935)
| ~ rpoint(vd1125)
| rinside(vd1125,Vd254_1936)
| ron(vd1125,Vd254_1936)
| ~ ron(vd1125,Vd256_1935) ),
inference(resolution,[status(thm)],[c_28459,c_2]) ).
tff(c_28515,plain,
! [Vd256_1938,Vd254_1939] :
( ~ rpoint('#skF_4'(vd1123,Vd256_1938,vd1123,Vd254_1939,Vd254_1939,vd1125,Vd256_1938,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_1938,vd1123,Vd254_1939,Vd254_1939,vd1125,Vd256_1938,vd1125),vd1151)
| ~ ron('#skF_4'(vd1123,Vd256_1938,vd1123,Vd254_1939,Vd254_1939,vd1125,Vd256_1938,vd1125),vd1152)
| ~ rcircle(Vd254_1939)
| ~ rline(Vd256_1938)
| ~ rinside(vd1123,Vd254_1939)
| ~ ron(vd1123,Vd256_1938)
| rinside(vd1125,Vd254_1939)
| ron(vd1125,Vd254_1939)
| ~ ron(vd1125,Vd256_1938) ),
inference(demodulation,[status(thm),theory(equality)],[c_610,c_611,c_28487]) ).
tff(c_28519,plain,
! [Vd256_66] :
( ~ rpoint('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125),vd1151)
| ~ rcircle(vd1152)
| ~ rline(Vd256_66)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1152)
| ~ ron(vd1123,Vd256_66)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1152)
| ron(vd1125,vd1152)
| ~ ron(vd1125,Vd256_66) ),
inference(resolution,[status(thm)],[c_86,c_28515]) ).
tff(c_28526,plain,
! [Vd256_66] :
( ~ rpoint('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125),vd1151)
| ~ rline(Vd256_66)
| ~ rinside(vd1123,vd1152)
| ~ ron(vd1123,Vd256_66)
| rinside(vd1125,vd1152)
| ron(vd1125,vd1152)
| ~ ron(vd1125,Vd256_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_610,c_611,c_12,c_28519]) ).
tff(c_28527,plain,
! [Vd256_66] :
( ~ rpoint('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_66,vd1123,vd1152,vd1152,vd1125,Vd256_66,vd1125),vd1151)
| ~ rline(Vd256_66)
| ~ rinside(vd1123,vd1152)
| ~ ron(vd1123,Vd256_66)
| ~ ron(vd1125,Vd256_66) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_28526]) ).
tff(c_28604,plain,
~ rinside(vd1123,vd1152),
inference(splitLeft,[status(thm)],[c_28527]) ).
tff(c_28607,plain,
~ rcenter(vd1123,vd1152),
inference(resolution,[status(thm)],[c_284,c_28604]) ).
tff(c_28611,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_28607]) ).
tff(c_28613,plain,
rinside(vd1123,vd1152),
inference(splitRight,[status(thm)],[c_28527]) ).
tff(c_54,plain,
rline(vd1151),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_82,plain,
! [Vd258_68,Vd256_66,Vd254_64,Vd260_70] :
( rpoint('#skF_4'(Vd258_68,Vd256_66,Vd258_68,Vd254_64,Vd254_64,Vd260_70,Vd256_66,Vd260_70))
| ~ rcircle(Vd254_64)
| ~ rline(Vd256_66)
| ~ rpoint(Vd258_68)
| ~ rinside(Vd258_68,Vd254_64)
| ~ ron(Vd258_68,Vd256_66)
| ~ rpoint(Vd260_70)
| rinside(Vd260_70,Vd254_64)
| ron(Vd260_70,Vd254_64)
| ~ ron(Vd260_70,Vd256_66) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_84,plain,
! [Vd258_68,Vd256_66,Vd254_64,Vd260_70] :
( ron('#skF_4'(Vd258_68,Vd256_66,Vd258_68,Vd254_64,Vd254_64,Vd260_70,Vd256_66,Vd260_70),Vd256_66)
| ~ rcircle(Vd254_64)
| ~ rline(Vd256_66)
| ~ rpoint(Vd258_68)
| ~ rinside(Vd258_68,Vd254_64)
| ~ ron(Vd258_68,Vd256_66)
| ~ rpoint(Vd260_70)
| rinside(Vd260_70,Vd254_64)
| ron(Vd260_70,Vd254_64)
| ~ ron(Vd260_70,Vd256_66) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_29015,plain,
! [Vd256_1951] :
( ~ rpoint('#skF_4'(vd1123,Vd256_1951,vd1123,vd1152,vd1152,vd1125,Vd256_1951,vd1125))
| ~ ron('#skF_4'(vd1123,Vd256_1951,vd1123,vd1152,vd1152,vd1125,Vd256_1951,vd1125),vd1151)
| ~ rline(Vd256_1951)
| ~ ron(vd1123,Vd256_1951)
| ~ ron(vd1125,Vd256_1951) ),
inference(splitRight,[status(thm)],[c_28527]) ).
tff(c_29019,plain,
( ~ rpoint('#skF_4'(vd1123,vd1151,vd1123,vd1152,vd1152,vd1125,vd1151,vd1125))
| ~ rcircle(vd1152)
| ~ rline(vd1151)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1152)
| ~ ron(vd1123,vd1151)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1152)
| ron(vd1125,vd1152)
| ~ ron(vd1125,vd1151) ),
inference(resolution,[status(thm)],[c_84,c_29015]) ).
tff(c_29022,plain,
( ~ rpoint('#skF_4'(vd1123,vd1151,vd1123,vd1152,vd1152,vd1125,vd1151,vd1125))
| rinside(vd1125,vd1152)
| ron(vd1125,vd1152) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_610,c_8,c_28613,c_611,c_54,c_12,c_29019]) ).
tff(c_29023,plain,
~ rpoint('#skF_4'(vd1123,vd1151,vd1123,vd1152,vd1152,vd1125,vd1151,vd1125)),
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_29022]) ).
tff(c_29026,plain,
( ~ rcircle(vd1152)
| ~ rline(vd1151)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1152)
| ~ ron(vd1123,vd1151)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1152)
| ron(vd1125,vd1152)
| ~ ron(vd1125,vd1151) ),
inference(resolution,[status(thm)],[c_82,c_29023]) ).
tff(c_29029,plain,
( rinside(vd1125,vd1152)
| ron(vd1125,vd1152) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_610,c_8,c_28613,c_611,c_54,c_12,c_29026]) ).
tff(c_29031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_29029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO286+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n010.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:17:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 26.88/11.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.93/11.58
% 26.93/11.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.93/11.61
% 26.93/11.61 Inference rules
% 26.93/11.61 ----------------------
% 26.93/11.61 #Ref : 2
% 26.93/11.61 #Sup : 7208
% 26.93/11.61 #Fact : 8
% 26.93/11.61 #Define : 0
% 26.93/11.61 #Split : 18
% 26.93/11.61 #Chain : 0
% 26.93/11.61 #Close : 0
% 26.93/11.61
% 26.93/11.61 Ordering : KBO
% 26.93/11.61
% 26.93/11.61 Simplification rules
% 26.93/11.61 ----------------------
% 26.93/11.61 #Subsume : 371
% 26.93/11.61 #Demod : 3414
% 26.93/11.61 #Tautology : 1617
% 26.93/11.61 #SimpNegUnit : 40
% 26.93/11.61 #BackRed : 90
% 26.93/11.61
% 26.93/11.61 #Partial instantiations: 0
% 26.93/11.61 #Strategies tried : 1
% 26.93/11.61
% 26.93/11.61 Timing (in seconds)
% 26.93/11.61 ----------------------
% 26.93/11.61 Preprocessing : 1.18
% 26.93/11.61 Parsing : 0.53
% 26.93/11.61 CNF conversion : 0.11
% 26.93/11.61 Main loop : 9.16
% 26.93/11.61 Inferencing : 2.15
% 26.93/11.61 Reduction : 3.66
% 26.93/11.61 Demodulation : 2.98
% 26.93/11.61 BG Simplification : 0.21
% 26.93/11.61 Subsumption : 2.58
% 26.93/11.61 Abstraction : 0.23
% 26.93/11.61 MUC search : 0.00
% 26.93/11.61 Cooper : 0.00
% 26.93/11.61 Total : 10.39
% 26.93/11.61 Index Insertion : 0.00
% 26.93/11.61 Index Deletion : 0.00
% 26.93/11.61 Index Matching : 0.00
% 26.93/11.61 BG Taut test : 0.00
%------------------------------------------------------------------------------