%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO281+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 06:14:35 PM UTC 2025
% Result : Theorem 33.31s 15.96s
% Output : CNFRefutation 33.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 22 unt; 0 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 15 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 > vperp > vd684 > vd14 > vd1139 > vd1138 > vd1136 > 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_46 > #skF_10 > #skF_20 > #skF_9 > #skF_45 > #skF_27 > #skF_18 > #skF_19 > #skF_44 > #skF_3 > #skF_39 > #skF_8 > #skF_14 > #skF_48 > #skF_42 > #skF_25 > #skF_47 > #skF_32 > #skF_13 > #skF_16 > #skF_11 > #skF_12 > #skF_7 > #skF_26 > #skF_43 > #skF_24 > #skF_28 > #skF_2 > #skF_38 > #skF_40 > #skF_36 > #skF_1 > #skF_21 > #skF_5 > #skF_22 > #skF_15 > #skF_4 > #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(vd1138,type,
vd1138: $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(vd1139,type,
vd1139: $i ).
tff(vd1123,type,
vd1123: $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(rline,type,
rline: $i > $o ).
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('#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(vd1128,type,
vd1128: $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('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $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('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i * $i * $i ) > $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_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $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(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('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $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(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $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_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(vd1136,type,
vd1136: $i ).
tff('#skF_4',type,
'#skF_4': ( $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,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg(neg(comma_conjunct2(247)))) ).
tff(f_42,axiom,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg(neg(247))) ).
tff(f_51,axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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))) ).
tff(f_76,axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& ( vd1127 != vd1129 )
& ( vd1123 != vd1125 )
& ( vd1129 = vd1130 )
& rpoint(vd1130)
& ( vd1127 = vd1128 )
& rpoint(vd1128)
& ( vd1125 = vd1126 )
& rpoint(vd1126)
& ( vd1123 = vd1124 )
& rpoint(vd1124) ),
file('/export/starexec/sandbox/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_1504,axiom,
! [Vd334,Vd335] :
( rcenter(Vd334,Vd335)
=> rinside(Vd334,Vd335) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(77),0),imp(cond(axiom(77),0)))) ).
tff(f_185,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/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(61),0),imp(cond(axiom(61),0)))) ).
tff(f_38,negated_conjecture,
~ ? [Vd1140] :
( rR(Vd1140,vd1123,vd1125)
& ron(Vd1140,vd1139)
& ron(Vd1140,vd1138)
& rpoint(Vd1140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(248)) ).
tff(f_115,axiom,
rline(vd1138),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(246,0)) ).
tff(c_4,plain,
~ ron(vd1125,vd1139),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_6,plain,
~ rinside(vd1125,vd1139),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_10,plain,
ron(vd1125,vd1138),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_28,plain,
vd1126 = vd1125,
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_26,plain,
rpoint(vd1126),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_558,plain,
rpoint(vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26]) ).
tff(c_8,plain,
ron(vd1123,vd1138),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
rcenter(vd1123,vd1139),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_236,plain,
! [Vd334_507,Vd335_508] :
( rinside(Vd334_507,Vd335_508)
| ~ rcenter(Vd334_507,Vd335_508) ),
inference(cnfTransformation,[status(thm)],[f_1504]) ).
tff(c_24,plain,
vd1124 = vd1123,
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_22,plain,
rpoint(vd1124),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_559,plain,
rpoint(vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_22]) ).
tff(c_12,plain,
rcircle(vd1139),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_66,plain,
! [Vd258_34,Vd254_30,Vd256_32,Vd260_36] :
( ron('#skF_2'(Vd258_34,Vd254_30,Vd256_32,Vd254_30,Vd258_34,Vd260_36,Vd260_36,Vd256_32),Vd254_30)
| ~ rcircle(Vd254_30)
| ~ rline(Vd256_32)
| ~ rpoint(Vd258_34)
| ~ rinside(Vd258_34,Vd254_30)
| ~ ron(Vd258_34,Vd256_32)
| ~ rpoint(Vd260_36)
| rinside(Vd260_36,Vd254_30)
| ron(Vd260_36,Vd254_30)
| ~ ron(Vd260_36,Vd256_32) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_21725,plain,
! [Vd258_1730,Vd254_1731,Vd256_1732,Vd260_1733] :
( rR('#skF_2'(Vd258_1730,Vd254_1731,Vd256_1732,Vd254_1731,Vd258_1730,Vd260_1733,Vd260_1733,Vd256_1732),Vd258_1730,Vd260_1733)
| ~ rcircle(Vd254_1731)
| ~ rline(Vd256_1732)
| ~ rpoint(Vd258_1730)
| ~ rinside(Vd258_1730,Vd254_1731)
| ~ ron(Vd258_1730,Vd256_1732)
| ~ rpoint(Vd260_1733)
| rinside(Vd260_1733,Vd254_1731)
| ron(Vd260_1733,Vd254_1731)
| ~ ron(Vd260_1733,Vd256_1732) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_2,plain,
! [Vd1140_1] :
( ~ rpoint(Vd1140_1)
| ~ ron(Vd1140_1,vd1138)
| ~ ron(Vd1140_1,vd1139)
| ~ rR(Vd1140_1,vd1123,vd1125) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_21753,plain,
! [Vd254_1731,Vd256_1732] :
( ~ rpoint('#skF_2'(vd1123,Vd254_1731,Vd256_1732,Vd254_1731,vd1123,vd1125,vd1125,Vd256_1732))
| ~ ron('#skF_2'(vd1123,Vd254_1731,Vd256_1732,Vd254_1731,vd1123,vd1125,vd1125,Vd256_1732),vd1138)
| ~ ron('#skF_2'(vd1123,Vd254_1731,Vd256_1732,Vd254_1731,vd1123,vd1125,vd1125,Vd256_1732),vd1139)
| ~ rcircle(Vd254_1731)
| ~ rline(Vd256_1732)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,Vd254_1731)
| ~ ron(vd1123,Vd256_1732)
| ~ rpoint(vd1125)
| rinside(vd1125,Vd254_1731)
| ron(vd1125,Vd254_1731)
| ~ ron(vd1125,Vd256_1732) ),
inference(resolution,[status(thm)],[c_21725,c_2]) ).
tff(c_21786,plain,
! [Vd254_1734,Vd256_1735] :
( ~ rpoint('#skF_2'(vd1123,Vd254_1734,Vd256_1735,Vd254_1734,vd1123,vd1125,vd1125,Vd256_1735))
| ~ ron('#skF_2'(vd1123,Vd254_1734,Vd256_1735,Vd254_1734,vd1123,vd1125,vd1125,Vd256_1735),vd1138)
| ~ ron('#skF_2'(vd1123,Vd254_1734,Vd256_1735,Vd254_1734,vd1123,vd1125,vd1125,Vd256_1735),vd1139)
| ~ rcircle(Vd254_1734)
| ~ rline(Vd256_1735)
| ~ rinside(vd1123,Vd254_1734)
| ~ ron(vd1123,Vd256_1735)
| rinside(vd1125,Vd254_1734)
| ron(vd1125,Vd254_1734)
| ~ ron(vd1125,Vd256_1735) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_559,c_21753]) ).
tff(c_21790,plain,
! [Vd256_32] :
( ~ rpoint('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32))
| ~ ron('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32),vd1138)
| ~ rcircle(vd1139)
| ~ rline(Vd256_32)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1139)
| ~ ron(vd1123,Vd256_32)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1139)
| ron(vd1125,vd1139)
| ~ ron(vd1125,Vd256_32) ),
inference(resolution,[status(thm)],[c_66,c_21786]) ).
tff(c_21797,plain,
! [Vd256_32] :
( ~ rpoint('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32))
| ~ ron('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32),vd1138)
| ~ rline(Vd256_32)
| ~ rinside(vd1123,vd1139)
| ~ ron(vd1123,Vd256_32)
| rinside(vd1125,vd1139)
| ron(vd1125,vd1139)
| ~ ron(vd1125,Vd256_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_559,c_12,c_21790]) ).
tff(c_21798,plain,
! [Vd256_32] :
( ~ rpoint('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32))
| ~ ron('#skF_2'(vd1123,vd1139,Vd256_32,vd1139,vd1123,vd1125,vd1125,Vd256_32),vd1138)
| ~ rline(Vd256_32)
| ~ rinside(vd1123,vd1139)
| ~ ron(vd1123,Vd256_32)
| ~ ron(vd1125,Vd256_32) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_21797]) ).
tff(c_22309,plain,
~ rinside(vd1123,vd1139),
inference(splitLeft,[status(thm)],[c_21798]) ).
tff(c_22312,plain,
~ rcenter(vd1123,vd1139),
inference(resolution,[status(thm)],[c_236,c_22309]) ).
tff(c_22316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22312]) ).
tff(c_22318,plain,
rinside(vd1123,vd1139),
inference(splitRight,[status(thm)],[c_21798]) ).
tff(c_54,plain,
rline(vd1138),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_62,plain,
! [Vd258_34,Vd254_30,Vd256_32,Vd260_36] :
( rpoint('#skF_2'(Vd258_34,Vd254_30,Vd256_32,Vd254_30,Vd258_34,Vd260_36,Vd260_36,Vd256_32))
| ~ rcircle(Vd254_30)
| ~ rline(Vd256_32)
| ~ rpoint(Vd258_34)
| ~ rinside(Vd258_34,Vd254_30)
| ~ ron(Vd258_34,Vd256_32)
| ~ rpoint(Vd260_36)
| rinside(Vd260_36,Vd254_30)
| ron(Vd260_36,Vd254_30)
| ~ ron(Vd260_36,Vd256_32) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_64,plain,
! [Vd258_34,Vd254_30,Vd256_32,Vd260_36] :
( ron('#skF_2'(Vd258_34,Vd254_30,Vd256_32,Vd254_30,Vd258_34,Vd260_36,Vd260_36,Vd256_32),Vd256_32)
| ~ rcircle(Vd254_30)
| ~ rline(Vd256_32)
| ~ rpoint(Vd258_34)
| ~ rinside(Vd258_34,Vd254_30)
| ~ ron(Vd258_34,Vd256_32)
| ~ rpoint(Vd260_36)
| rinside(Vd260_36,Vd254_30)
| ron(Vd260_36,Vd254_30)
| ~ ron(Vd260_36,Vd256_32) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_24481,plain,
! [Vd256_1756] :
( ~ rpoint('#skF_2'(vd1123,vd1139,Vd256_1756,vd1139,vd1123,vd1125,vd1125,Vd256_1756))
| ~ ron('#skF_2'(vd1123,vd1139,Vd256_1756,vd1139,vd1123,vd1125,vd1125,Vd256_1756),vd1138)
| ~ rline(Vd256_1756)
| ~ ron(vd1123,Vd256_1756)
| ~ ron(vd1125,Vd256_1756) ),
inference(splitRight,[status(thm)],[c_21798]) ).
tff(c_24485,plain,
( ~ rpoint('#skF_2'(vd1123,vd1139,vd1138,vd1139,vd1123,vd1125,vd1125,vd1138))
| ~ rcircle(vd1139)
| ~ rline(vd1138)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1139)
| ~ ron(vd1123,vd1138)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1139)
| ron(vd1125,vd1139)
| ~ ron(vd1125,vd1138) ),
inference(resolution,[status(thm)],[c_64,c_24481]) ).
tff(c_24488,plain,
( ~ rpoint('#skF_2'(vd1123,vd1139,vd1138,vd1139,vd1123,vd1125,vd1125,vd1138))
| rinside(vd1125,vd1139)
| ron(vd1125,vd1139) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_558,c_8,c_22318,c_559,c_54,c_12,c_24485]) ).
tff(c_24489,plain,
~ rpoint('#skF_2'(vd1123,vd1139,vd1138,vd1139,vd1123,vd1125,vd1125,vd1138)),
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_24488]) ).
tff(c_29082,plain,
( ~ rcircle(vd1139)
| ~ rline(vd1138)
| ~ rpoint(vd1123)
| ~ rinside(vd1123,vd1139)
| ~ ron(vd1123,vd1138)
| ~ rpoint(vd1125)
| rinside(vd1125,vd1139)
| ron(vd1125,vd1139)
| ~ ron(vd1125,vd1138) ),
inference(resolution,[status(thm)],[c_62,c_24489]) ).
tff(c_29085,plain,
( rinside(vd1125,vd1139)
| ron(vd1125,vd1139) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_558,c_8,c_22318,c_559,c_54,c_12,c_29082]) ).
tff(c_29087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_6,c_29085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO281+1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 20:05:28 EDT 2025
% 0.13/0.34 % CPUTime :
% 33.31/15.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.31/15.96
% 33.31/15.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------