%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO284+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 : n028.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 06:14:36 PM UTC 2025
% Result : Theorem 16.47s 5.14s
% Output : CNFRefutation 16.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 38 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 142 ( 60 ~; 53 |; 27 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 74 ( 74 usr; 19 con; 0-18 aty)
% Number of variables : 32 ( 24 !; 8 ?; 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 > vd1130 > vd1129 > vd1128 > vd1127 > vd1126 > vd1125 > vd1124 > vd1123 > v0 > #skF_33 > #skF_35 > #skF_29 > #skF_37 > #skF_31 > #skF_17 > #skF_41 > #skF_30 > #skF_6 > #skF_34 > #skF_18 > #skF_13 > #skF_46 > #skF_4 > #skF_10 > #skF_14 > #skF_9 > #skF_45 > #skF_27 > #skF_44 > #skF_12 > #skF_3 > #skF_39 > #skF_20 > #skF_15 > #skF_48 > #skF_42 > #skF_25 > #skF_47 > #skF_32 > #skF_19 > #skF_11 > #skF_8 > #skF_26 > #skF_43 > #skF_24 > #skF_28 > #skF_38 > #skF_2 > #skF_40 > #skF_36 > #skF_7 > #skF_1 > #skF_16 > #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(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_17',type,
'#skF_17': ( $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_18',type,
'#skF_18': ( $i * $i * $i * $i * $i * $i * $i ) > $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_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i * $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_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('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff(vd1130,type,
vd1130: $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $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(vd1129,type,
vd1129: $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff(vskolem1078,type,
vskolem1078: ( $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(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_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_16',type,
'#skF_16': ( $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_103,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_405,axiom,
! [Vd217,Vd218] :
( ( ( Vd217 != Vd218 )
& ? [Vd221] :
( ( Vd218 = Vd221 )
& rpoint(Vd221) )
& ? [Vd220] :
( ( Vd217 = Vd220 )
& rpoint(Vd220) ) )
=> ? [Vd223] :
( ron(Vd218,Vd223)
& ron(Vd217,Vd223)
& rline(Vd223) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(51),0),imp(cond(axiom(51),0)))) ).
tff(f_43,axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(258,1150,0)) ).
tff(f_254,axiom,
! [Vd225,Vd226] :
( ( ( Vd225 != Vd226 )
& ? [Vd230] :
( ( Vd226 = Vd230 )
& rpoint(Vd230) )
& ? [Vd229] :
( ( Vd225 = Vd229 )
& rpoint(Vd229) ) )
=> ? [Vd231] :
( ron(Vd226,Vd231)
& rcenter(Vd225,Vd231)
& rcircle(Vd231) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(53),0),imp(cond(axiom(53),0)))) ).
tff(f_42,negated_conjecture,
~ ? [Vd1151,Vd1152] :
( ron(vd1127,Vd1152)
& rcenter(vd1123,Vd1152)
& rcircle(Vd1152)
& ron(vd1125,Vd1151)
& ron(vd1123,Vd1151)
& rline(Vd1151) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(259)) ).
tff(c_48,plain,
vd1125 != vd1123,
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_34,plain,
vd1124 = vd1123,
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_32,plain,
rpoint(vd1124),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_595,plain,
rpoint(vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).
tff(c_38,plain,
vd1126 = vd1125,
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_36,plain,
rpoint(vd1126),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_594,plain,
rpoint(vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36]) ).
tff(c_130,plain,
! [Vd220_71,Vd221_70] :
( rline('#skF_5'(Vd220_71,Vd221_70))
| ~ rpoint(Vd220_71)
| ~ rpoint(Vd221_70)
| ( Vd221_70 = Vd220_71 ) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_134,plain,
! [Vd221_70,Vd220_71] :
( ron(Vd221_70,'#skF_5'(Vd220_71,Vd221_70))
| ~ rpoint(Vd220_71)
| ~ rpoint(Vd221_70)
| ( Vd221_70 = Vd220_71 ) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_3142,plain,
! [Vd220_1183,Vd221_1184] :
( ron(Vd220_1183,'#skF_5'(Vd220_1183,Vd221_1184))
| ~ rpoint(Vd220_1183)
| ~ rpoint(Vd221_1184)
| ( Vd221_1184 = Vd220_1183 ) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_4,plain,
vd1129 = vd1123,
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_50,plain,
vd1129 != vd1127,
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_596,plain,
vd1127 != vd1123,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50]) ).
tff(c_42,plain,
vd1128 = vd1127,
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_40,plain,
rpoint(vd1128),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_593,plain,
rpoint(vd1127),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40]) ).
tff(c_84,plain,
! [Vd229_55,Vd230_54] :
( rcircle('#skF_3'(Vd229_55,Vd230_54))
| ~ rpoint(Vd229_55)
| ~ rpoint(Vd230_54)
| ( Vd230_54 = Vd229_55 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_86,plain,
! [Vd229_55,Vd230_54] :
( rcenter(Vd229_55,'#skF_3'(Vd229_55,Vd230_54))
| ~ rpoint(Vd229_55)
| ~ rpoint(Vd230_54)
| ( Vd230_54 = Vd229_55 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_1828,plain,
! [Vd230_1074,Vd229_1075] :
( ron(Vd230_1074,'#skF_3'(Vd229_1075,Vd230_1074))
| ~ rpoint(Vd229_1075)
| ~ rpoint(Vd230_1074)
| ( Vd230_1074 = Vd229_1075 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_2,plain,
! [Vd1151_1,Vd1152_2] :
( ~ rline(Vd1151_1)
| ~ ron(vd1123,Vd1151_1)
| ~ ron(vd1125,Vd1151_1)
| ~ rcircle(Vd1152_2)
| ~ rcenter(vd1123,Vd1152_2)
| ~ ron(vd1127,Vd1152_2) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_631,plain,
! [Vd1152_2] :
( ~ rcircle(Vd1152_2)
| ~ rcenter(vd1123,Vd1152_2)
| ~ ron(vd1127,Vd1152_2) ),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_1835,plain,
! [Vd229_1075] :
( ~ rcircle('#skF_3'(Vd229_1075,vd1127))
| ~ rcenter(vd1123,'#skF_3'(Vd229_1075,vd1127))
| ~ rpoint(Vd229_1075)
| ~ rpoint(vd1127)
| ( vd1127 = Vd229_1075 ) ),
inference(resolution,[status(thm)],[c_1828,c_631]) ).
tff(c_1879,plain,
! [Vd229_1079] :
( ~ rcircle('#skF_3'(Vd229_1079,vd1127))
| ~ rcenter(vd1123,'#skF_3'(Vd229_1079,vd1127))
| ~ rpoint(Vd229_1079)
| ( vd1127 = Vd229_1079 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593,c_1835]) ).
tff(c_1883,plain,
( ~ rcircle('#skF_3'(vd1123,vd1127))
| ~ rpoint(vd1123)
| ~ rpoint(vd1127)
| ( vd1127 = vd1123 ) ),
inference(resolution,[status(thm)],[c_86,c_1879]) ).
tff(c_1886,plain,
( ~ rcircle('#skF_3'(vd1123,vd1127))
| ( vd1127 = vd1123 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_593,c_595,c_1883]) ).
tff(c_1887,plain,
~ rcircle('#skF_3'(vd1123,vd1127)),
inference(negUnitSimplification,[status(thm)],[c_596,c_1886]) ).
tff(c_1890,plain,
( ~ rpoint(vd1123)
| ~ rpoint(vd1127)
| ( vd1127 = vd1123 ) ),
inference(resolution,[status(thm)],[c_84,c_1887]) ).
tff(c_1893,plain,
vd1127 = vd1123,
inference(demodulation,[status(thm),theory(equality)],[c_593,c_595,c_1890]) ).
tff(c_1895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_596,c_1893]) ).
tff(c_1896,plain,
! [Vd1151_1] :
( ~ rline(Vd1151_1)
| ~ ron(vd1123,Vd1151_1)
| ~ ron(vd1125,Vd1151_1) ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_3149,plain,
! [Vd221_1184] :
( ~ rline('#skF_5'(vd1125,Vd221_1184))
| ~ ron(vd1123,'#skF_5'(vd1125,Vd221_1184))
| ~ rpoint(vd1125)
| ~ rpoint(Vd221_1184)
| ( vd1125 = Vd221_1184 ) ),
inference(resolution,[status(thm)],[c_3142,c_1896]) ).
tff(c_3281,plain,
! [Vd221_1188] :
( ~ rline('#skF_5'(vd1125,Vd221_1188))
| ~ ron(vd1123,'#skF_5'(vd1125,Vd221_1188))
| ~ rpoint(Vd221_1188)
| ( vd1125 = Vd221_1188 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_3149]) ).
tff(c_3285,plain,
( ~ rline('#skF_5'(vd1125,vd1123))
| ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| ( vd1125 = vd1123 ) ),
inference(resolution,[status(thm)],[c_134,c_3281]) ).
tff(c_3288,plain,
( ~ rline('#skF_5'(vd1125,vd1123))
| ( vd1125 = vd1123 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_595,c_594,c_3285]) ).
tff(c_3289,plain,
~ rline('#skF_5'(vd1125,vd1123)),
inference(negUnitSimplification,[status(thm)],[c_48,c_3288]) ).
tff(c_3292,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| ( vd1125 = vd1123 ) ),
inference(resolution,[status(thm)],[c_130,c_3289]) ).
tff(c_3295,plain,
vd1125 = vd1123,
inference(demodulation,[status(thm),theory(equality)],[c_595,c_594,c_3292]) ).
tff(c_3297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48,c_3295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO284+1 : TPTP v9.0.0. Released v4.1.0.
% 0.10/0.13 % 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
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 20:05:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 16.47/5.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.47/5.15
% 16.47/5.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------