TSTP Solution File: GEO277+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO277+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/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 : n004.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 10:38:59 EDT 2023
% Result : Theorem 23.78s 9.01s
% Output : CNFRefutation 23.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 100
% Syntax : Number of formulae : 191 ( 72 unt; 86 typ; 0 def)
% Number of atoms : 234 ( 122 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 210 ( 81 ~; 84 |; 37 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 276 ( 68 >; 208 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 72 ( 72 usr; 18 con; 0-18 aty)
% Number of variables : 64 (; 49 !; 15 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vskolem1095 > vskolem1092 > vperp > vd684 > vd14 > vd1099 > vd1096 > vd1094 > vd1091 > vd1089 > vd1086 > vd1085 > vd1081 > vd1080 > v0 > #skF_33 > #skF_11 > #skF_17 > #skF_6 > #skF_18 > #skF_13 > #skF_44 > #skF_24 > #skF_47 > #skF_20 > #skF_48 > #skF_7 > #skF_5 > #skF_34 > #skF_35 > #skF_39 > #skF_12 > #skF_45 > #skF_14 > #skF_41 > #skF_15 > #skF_30 > #skF_25 > #skF_10 > #skF_26 > #skF_19 > #skF_37 > #skF_49 > #skF_16 > #skF_3 > #skF_1 > #skF_9 > #skF_51 > #skF_31 > #skF_46 > #skF_38 > #skF_28 > #skF_50 > #skF_29 > #skF_4 > #skF_2 > #skF_40 > #skF_36 > #skF_43 > #skF_27 > #skF_21 > #skF_22 > #skF_8 > #skF_42 > #skF_23 > #skF_32
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vd1091,type,
vd1091: $i ).
tff(vperp,type,
vperp: $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(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1092,type,
vskolem1092: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i ) > $i ).
tff(vd1080,type,
vd1080: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i ) > $i ).
tff(vd1094,type,
vd1094: $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff(vd1096,type,
vd1096: $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff(vd1085,type,
vd1085: $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('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1099,type,
vd1099: $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff(vd1081,type,
vd1081: $i ).
tff(vskolem1095,type,
vskolem1095: $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i ) > $i ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(rreal,type,
rreal: $i > $o ).
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(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff(vd1089,type,
vd1089: $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff(vd1086,type,
vd1086: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_114,axiom,
? [Vd1083] :
( ( vd1080 = Vd1083 )
& rpoint(Vd1083) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s1(plural(224)))) ).
tff(f_81,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct1(225),1087,0)) ).
tff(f_54,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(225,4)) ).
tff(f_55,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(225,1)) ).
tff(f_2374,axiom,
! [Vd741,Vd742] :
( ( ? [Vd745] :
( ( Vd742 = Vd745 )
& rpoint(Vd745) )
& ? [Vd744] :
( ( Vd741 = Vd744 )
& rpoint(Vd744) ) )
=> ? [Vd747] :
( ( vf(Vd741,Vd742) = Vd747 )
& rreal(Vd747) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(160),0),imp(cond(axiom(160),0)))) ).
tff(f_462,axiom,
! [Vd748,Vd749] :
( ( ? [Vd752] :
( ( Vd749 = Vd752 )
& rpoint(Vd752) )
& ? [Vd751] :
( ( Vd748 = Vd751 )
& rpoint(Vd751) ) )
=> ( ( vf(Vd748,Vd749) = v0 )
<=> ( Vd748 = Vd749 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(162),0),imp(cond(axiom(162),0)))) ).
tff(f_53,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(226,0)) ).
tff(f_38,negated_conjecture,
~ ! [Vdthex] :
( ( ron(vd1085,Vdthex)
& ron(vd1089,Vdthex)
& rline(Vdthex) )
=> ( Vdthex = vd1099 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(theu(the(230),1),imp(the(230)))) ).
tff(f_2359,axiom,
! [Vd967,Vd968,Vd969,Vd974,Vd975] :
( ( ron(Vd968,Vd974)
& ron(Vd967,Vd974)
& ( Vd967 != Vd968 )
& ( Vd974 = Vd975 )
& rline(Vd975)
& ? [Vd973] :
( ( Vd969 = Vd973 )
& rpoint(Vd973) )
& ? [Vd972] :
( ( Vd968 = Vd972 )
& rpoint(Vd972) )
& ? [Vd971] :
( ( Vd967 = Vd971 )
& rpoint(Vd971) ) )
=> ( ( vg(Vd967,Vd968,Vd969) = v0 )
<=> ron(Vd969,Vd974) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(200),0),imp(cond(axiom(200),0)))) ).
tff(f_165,axiom,
! [Vd761,Vd762] :
( ( ? [Vd765] :
( ( Vd762 = Vd765 )
& rpoint(Vd765) )
& ? [Vd764] :
( ( Vd761 = Vd764 )
& rpoint(Vd764) ) )
=> ( vf(Vd761,Vd762) = vf(Vd762,Vd761) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(166),0),imp(cond(axiom(166),0)))) ).
tff(f_76,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(226,1090,1)) ).
tff(f_77,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(226,1090,0)) ).
tff(f_43,axiom,
( ron(vd1085,vd1099)
& ron(vd1089,vd1099)
& rline(vd1099) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(s2(plural(the(230))),0),and(pred(s1(plural(the(230))),0),pred(the(230),0)))) ).
tff(f_511,axiom,
! [Vd314,Vd315,Vd319,Vd320] :
( ( ron(Vd315,Vd320)
& ron(Vd315,Vd319)
& ron(Vd314,Vd320)
& ron(Vd314,Vd319)
& ? [Vd324] :
( ( Vd320 = Vd324 )
& rline(Vd324) )
& ? [Vd323] :
( ( Vd319 = Vd323 )
& rline(Vd323) )
& ( Vd314 != Vd315 )
& ? [Vd318] :
( ( Vd315 = Vd318 )
& rpoint(Vd318) )
& ? [Vd317] :
( ( Vd314 = Vd317 )
& rpoint(Vd317) ) )
=> ( Vd319 = Vd320 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(73),0),imp(cond(axiom(73),0)))) ).
tff(c_72,plain,
vd1080 = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_48,plain,
vd1085 != vd1080,
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_580,plain,
vd1085 != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_72,c_48]) ).
tff(c_32,plain,
vd1086 = vd1085,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_34,plain,
rpoint(vd1086),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_585,plain,
rpoint(vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_34]) ).
tff(c_70,plain,
rpoint('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1088,plain,
! [Vd744_1021,Vd745_1022] :
( ( vf(Vd744_1021,Vd745_1022) = '#skF_50'(Vd744_1021,Vd745_1022) )
| ~ rpoint(Vd744_1021)
| ~ rpoint(Vd745_1022) ),
inference(cnfTransformation,[status(thm)],[f_2374]) ).
tff(c_5627,plain,
! [Vd745_1214] :
( ( vf('#skF_4',Vd745_1214) = '#skF_50'('#skF_4',Vd745_1214) )
| ~ rpoint(Vd745_1214) ),
inference(resolution,[status(thm)],[c_70,c_1088]) ).
tff(c_5747,plain,
vf('#skF_4',vd1085) = '#skF_50'('#skF_4',vd1085),
inference(resolution,[status(thm)],[c_585,c_5627]) ).
tff(c_174,plain,
! [Vd752_128,Vd751_129] :
( ( Vd752_128 = Vd751_129 )
| ( vf(Vd751_129,Vd752_128) != v0 )
| ~ rpoint(Vd751_129)
| ~ rpoint(Vd752_128) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_5952,plain,
( ( vd1085 = '#skF_4' )
| ( '#skF_50'('#skF_4',vd1085) != v0 )
| ~ rpoint('#skF_4')
| ~ rpoint(vd1085) ),
inference(superposition,[status(thm),theory(equality)],[c_5747,c_174]) ).
tff(c_5959,plain,
( ( vd1085 = '#skF_4' )
| ( '#skF_50'('#skF_4',vd1085) != v0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_585,c_70,c_5952]) ).
tff(c_5960,plain,
'#skF_50'('#skF_4',vd1085) != v0,
inference(negUnitSimplification,[status(thm)],[c_580,c_5959]) ).
tff(c_619,plain,
! [Vd752_967] :
( ( vf(Vd752_967,Vd752_967) = v0 )
| ~ rpoint(Vd752_967) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_639,plain,
vf(vd1085,vd1085) = v0,
inference(resolution,[status(thm)],[c_585,c_619]) ).
tff(c_30,plain,
rpoint(vd1089),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_6,plain,
ron(vd1089,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_8,plain,
ron(vd1085,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_4,plain,
rline('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_16567,plain,
! [Vd971_1572,Vd972_1573,Vd973_1574,Vd975_1575] :
( ( vg(Vd971_1572,Vd972_1573,Vd973_1574) = v0 )
| ~ ron(Vd973_1574,Vd975_1575)
| ~ rpoint(Vd971_1572)
| ~ rpoint(Vd972_1573)
| ~ rpoint(Vd973_1574)
| ~ rline(Vd975_1575)
| ( Vd972_1573 = Vd971_1572 )
| ~ ron(Vd971_1572,Vd975_1575)
| ~ ron(Vd972_1573,Vd975_1575) ),
inference(cnfTransformation,[status(thm)],[f_2359]) ).
tff(c_16633,plain,
! [Vd971_1572,Vd972_1573] :
( ( vg(Vd971_1572,Vd972_1573,vd1089) = v0 )
| ~ rpoint(Vd971_1572)
| ~ rpoint(Vd972_1573)
| ~ rpoint(vd1089)
| ~ rline('#skF_1')
| ( Vd972_1573 = Vd971_1572 )
| ~ ron(Vd971_1572,'#skF_1')
| ~ ron(Vd972_1573,'#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_16567]) ).
tff(c_16842,plain,
! [Vd971_1577,Vd972_1578] :
( ( vg(Vd971_1577,Vd972_1578,vd1089) = v0 )
| ~ rpoint(Vd971_1577)
| ~ rpoint(Vd972_1578)
| ( Vd972_1578 = Vd971_1577 )
| ~ ron(Vd971_1577,'#skF_1')
| ~ ron(Vd972_1578,'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30,c_16633]) ).
tff(c_16907,plain,
! [Vd972_1578] :
( ( vg(vd1085,Vd972_1578,vd1089) = v0 )
| ~ rpoint(vd1085)
| ~ rpoint(Vd972_1578)
| ( vd1085 = Vd972_1578 )
| ~ ron(Vd972_1578,'#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_16842]) ).
tff(c_17741,plain,
! [Vd972_1594] :
( ( vg(vd1085,Vd972_1594,vd1089) = v0 )
| ~ rpoint(Vd972_1594)
| ( vd1085 = Vd972_1594 )
| ~ ron(Vd972_1594,'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_585,c_16907]) ).
tff(c_17831,plain,
( ( vg(vd1085,vd1089,vd1089) = v0 )
| ~ rpoint(vd1089)
| ( vd1089 = vd1085 ) ),
inference(resolution,[status(thm)],[c_6,c_17741]) ).
tff(c_17877,plain,
( ( vg(vd1085,vd1089,vd1089) = v0 )
| ( vd1089 = vd1085 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_17831]) ).
tff(c_17887,plain,
vd1089 = vd1085,
inference(splitLeft,[status(thm)],[c_17877]) ).
tff(c_5746,plain,
vf('#skF_4',vd1089) = '#skF_50'('#skF_4',vd1089),
inference(resolution,[status(thm)],[c_30,c_5627]) ).
tff(c_3538,plain,
! [Vd745_1126] :
( ( vf(vd1085,Vd745_1126) = '#skF_50'(vd1085,Vd745_1126) )
| ~ rpoint(Vd745_1126) ),
inference(resolution,[status(thm)],[c_585,c_1088]) ).
tff(c_3638,plain,
vf(vd1085,'#skF_4') = '#skF_50'(vd1085,'#skF_4'),
inference(resolution,[status(thm)],[c_70,c_3538]) ).
tff(c_2762,plain,
! [Vd745_1104] :
( ( vf(vd1089,Vd745_1104) = '#skF_50'(vd1089,Vd745_1104) )
| ~ rpoint(Vd745_1104) ),
inference(resolution,[status(thm)],[c_30,c_1088]) ).
tff(c_2838,plain,
vf(vd1089,'#skF_4') = '#skF_50'(vd1089,'#skF_4'),
inference(resolution,[status(thm)],[c_70,c_2762]) ).
tff(c_1140,plain,
! [Vd765_1023,Vd764_1024] :
( ( vf(Vd765_1023,Vd764_1024) = vf(Vd764_1024,Vd765_1023) )
| ~ rpoint(Vd764_1024)
| ~ rpoint(Vd765_1023) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_1988,plain,
! [Vd765_1065] :
( ( vf(Vd765_1065,'#skF_4') = vf('#skF_4',Vd765_1065) )
| ~ rpoint(Vd765_1065) ),
inference(resolution,[status(thm)],[c_70,c_1140]) ).
tff(c_2053,plain,
vf(vd1085,'#skF_4') = vf('#skF_4',vd1085),
inference(resolution,[status(thm)],[c_585,c_1988]) ).
tff(c_1766,plain,
! [Vd765_1051] :
( ( vf(vd1089,Vd765_1051) = vf(Vd765_1051,vd1089) )
| ~ rpoint(Vd765_1051) ),
inference(resolution,[status(thm)],[c_30,c_1140]) ).
tff(c_1826,plain,
vf(vd1089,'#skF_4') = vf('#skF_4',vd1089),
inference(resolution,[status(thm)],[c_70,c_1766]) ).
tff(c_42,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_583,plain,
vf(vd1089,'#skF_4') = vf(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_72,c_42]) ).
tff(c_1847,plain,
vf(vd1085,'#skF_4') = vf('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_1826,c_583]) ).
tff(c_2101,plain,
vf('#skF_4',vd1089) = vf('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2053,c_1847]) ).
tff(c_2125,plain,
vf(vd1089,'#skF_4') = vf('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2101,c_1826]) ).
tff(c_3005,plain,
vf('#skF_4',vd1085) = '#skF_50'(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_2838,c_2125]) ).
tff(c_2842,plain,
vf(vd1089,vd1085) = '#skF_50'(vd1089,vd1085),
inference(resolution,[status(thm)],[c_585,c_2762]) ).
tff(c_44,plain,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_582,plain,
vf(vd1089,vd1085) = vf(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_44]) ).
tff(c_584,plain,
vf(vd1089,vd1085) = vf(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_583,c_582]) ).
tff(c_1904,plain,
vf(vd1089,vd1085) = vf('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_1847,c_584]) ).
tff(c_2122,plain,
vf(vd1089,vd1085) = vf('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2101,c_1904]) ).
tff(c_2938,plain,
vf('#skF_4',vd1085) = '#skF_50'(vd1089,vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2842,c_2122]) ).
tff(c_3202,plain,
'#skF_50'(vd1089,vd1085) = '#skF_50'(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3005,c_2938]) ).
tff(c_3093,plain,
vf(vd1085,'#skF_4') = '#skF_50'(vd1089,vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2938,c_2053]) ).
tff(c_3284,plain,
vf(vd1085,'#skF_4') = '#skF_50'(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3202,c_3093]) ).
tff(c_3754,plain,
'#skF_50'(vd1089,'#skF_4') = '#skF_50'(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3638,c_3284]) ).
tff(c_3090,plain,
vf('#skF_4',vd1089) = '#skF_50'(vd1089,vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2938,c_2101]) ).
tff(c_3283,plain,
vf('#skF_4',vd1089) = '#skF_50'(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3202,c_3090]) ).
tff(c_3774,plain,
vf('#skF_4',vd1089) = '#skF_50'(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3754,c_3283]) ).
tff(c_5847,plain,
'#skF_50'(vd1085,'#skF_4') = '#skF_50'('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_5746,c_3774]) ).
tff(c_3779,plain,
vf('#skF_4',vd1085) = '#skF_50'(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3754,c_3005]) ).
tff(c_5891,plain,
vf('#skF_4',vd1085) = '#skF_50'('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_5847,c_3779]) ).
tff(c_6187,plain,
'#skF_50'('#skF_4',vd1089) = '#skF_50'('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_5747,c_5891]) ).
tff(c_3640,plain,
vf(vd1085,vd1089) = '#skF_50'(vd1085,vd1089),
inference(resolution,[status(thm)],[c_30,c_3538]) ).
tff(c_1811,plain,
vf(vd1089,vd1085) = vf(vd1085,vd1089),
inference(resolution,[status(thm)],[c_585,c_1766]) ).
tff(c_1831,plain,
vf(vd1085,vd1089) = vf(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_584,c_1811]) ).
tff(c_1901,plain,
vf(vd1085,vd1089) = vf('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_1847,c_1831]) ).
tff(c_2121,plain,
vf(vd1085,vd1089) = vf('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2101,c_1901]) ).
tff(c_3089,plain,
vf(vd1085,vd1089) = '#skF_50'(vd1089,vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2938,c_2121]) ).
tff(c_3285,plain,
vf(vd1085,vd1089) = '#skF_50'(vd1089,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3202,c_3089]) ).
tff(c_3726,plain,
'#skF_50'(vd1089,'#skF_4') = '#skF_50'(vd1085,vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_3640,c_3285]) ).
tff(c_3807,plain,
'#skF_50'(vd1085,vd1089) = '#skF_50'(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3754,c_3726]) ).
tff(c_3809,plain,
vf(vd1085,vd1089) = '#skF_50'(vd1085,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_3807,c_3640]) ).
tff(c_5889,plain,
vf(vd1085,vd1089) = '#skF_50'('#skF_4',vd1089),
inference(demodulation,[status(thm),theory(equality)],[c_5847,c_3809]) ).
tff(c_6190,plain,
vf(vd1085,vd1089) = '#skF_50'('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_6187,c_5889]) ).
tff(c_18017,plain,
vf(vd1085,vd1085) = '#skF_50'('#skF_4',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_17887,c_6190]) ).
tff(c_18136,plain,
'#skF_50'('#skF_4',vd1085) = v0,
inference(demodulation,[status(thm),theory(equality)],[c_639,c_18017]) ).
tff(c_18138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5960,c_18136]) ).
tff(c_18140,plain,
vd1089 != vd1085,
inference(splitRight,[status(thm)],[c_17877]) ).
tff(c_12,plain,
ron(vd1089,vd1099),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_2,plain,
vd1099 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_10,plain,
rline(vd1099),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_14,plain,
ron(vd1085,vd1099),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_18947,plain,
! [Vd324_1607,Vd323_1608,Vd317_1609,Vd318_1610] :
( ( Vd324_1607 = Vd323_1608 )
| ~ rpoint(Vd317_1609)
| ~ rpoint(Vd318_1610)
| ( Vd318_1610 = Vd317_1609 )
| ~ rline(Vd323_1608)
| ~ rline(Vd324_1607)
| ~ ron(Vd317_1609,Vd323_1608)
| ~ ron(Vd317_1609,Vd324_1607)
| ~ ron(Vd318_1610,Vd323_1608)
| ~ ron(Vd318_1610,Vd324_1607) ),
inference(cnfTransformation,[status(thm)],[f_511]) ).
tff(c_19003,plain,
! [Vd324_1607,Vd318_1610] :
( ( Vd324_1607 = '#skF_1' )
| ~ rpoint(vd1085)
| ~ rpoint(Vd318_1610)
| ( vd1085 = Vd318_1610 )
| ~ rline('#skF_1')
| ~ rline(Vd324_1607)
| ~ ron(vd1085,Vd324_1607)
| ~ ron(Vd318_1610,'#skF_1')
| ~ ron(Vd318_1610,Vd324_1607) ),
inference(resolution,[status(thm)],[c_8,c_18947]) ).
tff(c_20505,plain,
! [Vd324_1618,Vd318_1619] :
( ( Vd324_1618 = '#skF_1' )
| ~ rpoint(Vd318_1619)
| ( vd1085 = Vd318_1619 )
| ~ rline(Vd324_1618)
| ~ ron(vd1085,Vd324_1618)
| ~ ron(Vd318_1619,'#skF_1')
| ~ ron(Vd318_1619,Vd324_1618) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_585,c_19003]) ).
tff(c_20516,plain,
! [Vd318_1619] :
( ( vd1099 = '#skF_1' )
| ~ rpoint(Vd318_1619)
| ( vd1085 = Vd318_1619 )
| ~ rline(vd1099)
| ~ ron(Vd318_1619,'#skF_1')
| ~ ron(Vd318_1619,vd1099) ),
inference(resolution,[status(thm)],[c_14,c_20505]) ).
tff(c_20530,plain,
! [Vd318_1619] :
( ( vd1099 = '#skF_1' )
| ~ rpoint(Vd318_1619)
| ( vd1085 = Vd318_1619 )
| ~ ron(Vd318_1619,'#skF_1')
| ~ ron(Vd318_1619,vd1099) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_20516]) ).
tff(c_20653,plain,
! [Vd318_1624] :
( ~ rpoint(Vd318_1624)
| ( vd1085 = Vd318_1624 )
| ~ ron(Vd318_1624,'#skF_1')
| ~ ron(Vd318_1624,vd1099) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_20530]) ).
tff(c_20743,plain,
( ~ rpoint(vd1089)
| ( vd1089 = vd1085 )
| ~ ron(vd1089,'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_20653]) ).
tff(c_20789,plain,
vd1089 = vd1085,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_30,c_20743]) ).
tff(c_20791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18140,c_20789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO277+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % 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 : n004.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 : Fri Aug 4 00:40:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 23.78/9.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.89/9.02
% 23.89/9.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.89/9.05
% 23.89/9.05 Inference rules
% 23.89/9.05 ----------------------
% 23.89/9.05 #Ref : 1
% 23.89/9.05 #Sup : 4982
% 23.89/9.05 #Fact : 2
% 23.89/9.05 #Define : 0
% 23.89/9.05 #Split : 31
% 23.89/9.05 #Chain : 0
% 23.89/9.05 #Close : 0
% 23.89/9.05
% 23.89/9.05 Ordering : KBO
% 23.89/9.05
% 23.89/9.05 Simplification rules
% 23.89/9.05 ----------------------
% 23.89/9.05 #Subsume : 478
% 23.89/9.05 #Demod : 3287
% 23.89/9.05 #Tautology : 1392
% 23.89/9.05 #SimpNegUnit : 76
% 23.89/9.05 #BackRed : 342
% 23.89/9.05
% 23.89/9.05 #Partial instantiations: 0
% 23.89/9.05 #Strategies tried : 1
% 23.89/9.05
% 23.89/9.05 Timing (in seconds)
% 23.89/9.06 ----------------------
% 23.89/9.06 Preprocessing : 1.20
% 23.89/9.06 Parsing : 0.58
% 23.89/9.06 CNF conversion : 0.10
% 23.89/9.06 Main loop : 6.78
% 23.89/9.06 Inferencing : 1.56
% 23.89/9.06 Reduction : 2.95
% 23.89/9.06 Demodulation : 2.40
% 23.89/9.06 BG Simplification : 0.16
% 23.89/9.06 Subsumption : 1.72
% 23.89/9.06 Abstraction : 0.13
% 23.89/9.06 MUC search : 0.00
% 23.89/9.06 Cooper : 0.00
% 23.89/9.06 Total : 8.05
% 23.89/9.06 Index Insertion : 0.00
% 23.89/9.06 Index Deletion : 0.00
% 23.89/9.06 Index Matching : 0.00
% 23.89/9.06 BG Taut test : 0.00
%------------------------------------------------------------------------------