TSTP Solution File: GEO297+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO297+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 : n026.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 10:39:01 EDT 2023
% Result : Theorem 74.93s 54.43s
% Output : CNFRefutation 75.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 109
% Syntax : Number of formulae : 210 ( 89 unt; 95 typ; 0 def)
% Number of atoms : 216 ( 125 equ)
% Maximal formula atoms : 22 ( 1 avg)
% Number of connectives : 162 ( 61 ~; 50 |; 45 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 288 ( 70 >; 218 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 81 ( 81 usr; 25 con; 0-18 aty)
% Number of variables : 52 (; 36 !; 16 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1120 > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1234 > vd1232 > vd1201 > vd1200 > vd1199 > vd1197 > vd1187 > vd1186 > vd1185 > vd1180 > vd1179 > vd1178 > v0 > #skF_47 > #skF_11 > #skF_17 > #skF_50 > #skF_33 > #skF_30 > #skF_56 > #skF_57 > #skF_44 > #skF_24 > #skF_53 > #skF_14 > #skF_48 > #skF_34 > #skF_42 > #skF_18 > #skF_31 > #skF_7 > #skF_13 > #skF_45 > #skF_54 > #skF_51 > #skF_37 > #skF_12 > #skF_25 > #skF_32 > #skF_5 > #skF_26 > #skF_19 > #skF_6 > #skF_2 > #skF_16 > #skF_10 > #skF_3 > #skF_1 > #skF_36 > #skF_9 > #skF_29 > #skF_41 > #skF_49 > #skF_28 > #skF_43 > #skF_8 > #skF_22 > #skF_38 > #skF_4 > #skF_52 > #skF_46 > #skF_39 > #skF_21 > #skF_35 > #skF_27 > #skF_40 > #skF_55 > #skF_15 > #skF_20 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(vskolem1120,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i * $i ) > $i ).
tff(vd1178,type,
vd1178: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vd1186,type,
vd1186: $i ).
tff(vperp,type,
vperp: $i ).
tff(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff(vd1197,type,
vd1197: $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff(vd1180,type,
vd1180: $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $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_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1234,type,
vd1234: $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(vd1232,type,
vd1232: $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i ) > $i ).
tff(vd1187,type,
vd1187: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(vd1200,type,
vd1200: $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff(vd1199,type,
vd1199: $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_6',type,
'#skF_6': $i ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $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_36',type,
'#skF_36': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $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(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vd1201,type,
vd1201: $i ).
tff(vd1179,type,
vd1179: $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(vd1185,type,
vd1185: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff(f_152,axiom,
( ~ ? [Vd1195] :
( ron(vd1187,Vd1195)
& ron(vd1186,Vd1195)
& ron(vd1185,Vd1195)
& rline(Vd1195) )
& ( vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187) )
& ( vf(vd1178,vd1180) = vf(vd1185,vd1187) )
& ( vf(vd1178,vd1179) = vf(vd1185,vd1186) )
& ? [Vd1191] :
( ( vd1187 = Vd1191 )
& rpoint(Vd1191) )
& ? [Vd1190] :
( ( vd1186 = Vd1190 )
& rpoint(Vd1190) )
& ? [Vd1189] :
( ( vd1185 = Vd1189 )
& rpoint(Vd1189) )
& ( vd1179 != vd1180 )
& ( vd1178 != vd1180 )
& ( vd1178 != vd1179 )
& ? [Vd1184] :
( ( vd1180 = Vd1184 )
& rpoint(Vd1184) )
& ? [Vd1183] :
( ( vd1179 = Vd1183 )
& rpoint(Vd1183) )
& ? [Vd1182] :
( ( vd1178 = Vd1182 )
& rpoint(Vd1182) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))),and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))),1194,0),and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))),1193,0),and(holds(conjunct1(plural(comma_conjunct2(268))),1192,0),and(qe(s3(plural(comma_conjunct2(268)))),and(qe(s2(plural(comma_conjunct2(268)))),and(qe(s1(plural(comma_conjunct2(268)))),and(pred(comma_conjunct1(268),9),and(pred(comma_conjunct1(268),8),and(pred(comma_conjunct1(268),7),and(qe(s3(plural(268))),and(qe(s2(plural(268))),qe(s1(plural(268)))))))))))))))) ).
tff(f_34,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s2(plural(293)),0)) ).
tff(f_37,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s1(plural(293)),0)) ).
tff(f_38,axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(293,0)) ).
tff(f_304,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_483,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_167,axiom,
? [Vd1205] :
( ( vd1201 = Vd1205 )
& rpoint(Vd1205) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s3(plural(271)))) ).
tff(f_175,axiom,
? [Vd1203] :
( ( vd1199 = Vd1203 )
& rpoint(Vd1203) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s1(plural(271)))) ).
tff(f_40,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(291,1230,0)) ).
tff(f_159,axiom,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))),1211,0)) ).
tff(f_468,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_33,axiom,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(310,1246,0)) ).
tff(f_74,axiom,
! [Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869] :
( ( ron(Vd864,Vd868)
& ron(Vd862,Vd868)
& ( Vd862 != Vd866 )
& ( Vd862 != Vd864 )
& ( Vd868 = Vd869 )
& rline(Vd869)
& ( Vd866 = Vd867 )
& rpoint(Vd867)
& ( Vd864 = Vd865 )
& rpoint(Vd865)
& ( Vd862 = Vd863 )
& rpoint(Vd863) )
=> ( ( ~ rR(Vd862,Vd864,Vd866)
& ron(Vd866,Vd868) )
<=> ( vangle(Vd864,Vd862,Vd866) = v0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(188),0),imp(cond(axiom(188),0)))) ).
tff(f_290,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg(neg(296))) ).
tff(c_70,plain,
vd1187 = '#skF_6',
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_8,plain,
ron(vd1187,vd1232),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_768,plain,
ron('#skF_6',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_70,c_8]) ).
tff(c_62,plain,
vd1185 = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_14,plain,
ron(vd1185,vd1232),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_765,plain,
ron('#skF_4',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_14]) ).
tff(c_16,plain,
rline(vd1232),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_60,plain,
rpoint('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_843,plain,
! [Vd752_1012] :
( ( vf(Vd752_1012,Vd752_1012) = v0 )
| ~ rpoint(Vd752_1012) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_866,plain,
vf('#skF_4','#skF_4') = v0,
inference(resolution,[status(thm)],[c_60,c_843]) ).
tff(c_1489,plain,
! [Vd744_1067,Vd745_1068] :
( ( vf(Vd744_1067,Vd745_1068) = '#skF_11'(Vd744_1067,Vd745_1068) )
| ~ rpoint(Vd744_1067)
| ~ rpoint(Vd745_1068) ),
inference(cnfTransformation,[status(thm)],[f_483]) ).
tff(c_12447,plain,
! [Vd745_1430] :
( ( vf('#skF_4',Vd745_1430) = '#skF_11'('#skF_4',Vd745_1430) )
| ~ rpoint(Vd745_1430) ),
inference(resolution,[status(thm)],[c_60,c_1489]) ).
tff(c_12543,plain,
vf('#skF_4','#skF_4') = '#skF_11'('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_60,c_12447]) ).
tff(c_12597,plain,
'#skF_11'('#skF_4','#skF_4') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_866,c_12543]) ).
tff(c_68,plain,
rpoint('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_12600,plain,
vf('#skF_4','#skF_6') = '#skF_11'('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_68,c_12447]) ).
tff(c_50,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_42,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_11241,plain,
! [Vd745_1394] :
( ( vf('#skF_1',Vd745_1394) = '#skF_11'('#skF_1',Vd745_1394) )
| ~ rpoint(Vd745_1394) ),
inference(resolution,[status(thm)],[c_42,c_1489]) ).
tff(c_11389,plain,
vf('#skF_1','#skF_3') = '#skF_11'('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_50,c_11241]) ).
tff(c_9960,plain,
! [Vd745_1355] :
( ( vf('#skF_3',Vd745_1355) = '#skF_11'('#skF_3',Vd745_1355) )
| ~ rpoint(Vd745_1355) ),
inference(resolution,[status(thm)],[c_50,c_1489]) ).
tff(c_10110,plain,
vf('#skF_3','#skF_1') = '#skF_11'('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_42,c_9960]) ).
tff(c_7761,plain,
! [Vd745_1316] :
( ( vf('#skF_6',Vd745_1316) = '#skF_11'('#skF_6',Vd745_1316) )
| ~ rpoint(Vd745_1316) ),
inference(resolution,[status(thm)],[c_68,c_1489]) ).
tff(c_7894,plain,
vf('#skF_6','#skF_4') = '#skF_11'('#skF_6','#skF_4'),
inference(resolution,[status(thm)],[c_60,c_7761]) ).
tff(c_100,plain,
rpoint('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_3892,plain,
! [Vd745_1186] :
( ( vf('#skF_7',Vd745_1186) = '#skF_11'('#skF_7',Vd745_1186) )
| ~ rpoint(Vd745_1186) ),
inference(resolution,[status(thm)],[c_100,c_1489]) ).
tff(c_4005,plain,
vf('#skF_7','#skF_4') = '#skF_11'('#skF_7','#skF_4'),
inference(resolution,[status(thm)],[c_60,c_3892]) ).
tff(c_110,plain,
vd1199 = '#skF_9',
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_20,plain,
vd1199 = vd1185,
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_748,plain,
'#skF_9' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_62,c_110,c_20]) ).
tff(c_102,plain,
vd1201 = '#skF_7',
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_90,plain,
vf(vd1199,vd1201) = vf(vd1178,vd1180),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_662,plain,
vf(vd1178,vd1180) = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_110,c_90]) ).
tff(c_74,plain,
vf(vd1185,vd1187) = vf(vd1178,vd1180),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_669,plain,
vf(vd1185,vd1187) = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_662,c_74]) ).
tff(c_673,plain,
vf(vd1185,'#skF_6') = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_70,c_669]) ).
tff(c_689,plain,
vf('#skF_9','#skF_7') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_673]) ).
tff(c_753,plain,
vf('#skF_4','#skF_7') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_748,c_689]) ).
tff(c_1272,plain,
! [Vd765_1061,Vd764_1062] :
( ( vf(Vd765_1061,Vd764_1062) = vf(Vd764_1062,Vd765_1061) )
| ~ rpoint(Vd764_1062)
| ~ rpoint(Vd765_1061) ),
inference(cnfTransformation,[status(thm)],[f_468]) ).
tff(c_5006,plain,
! [Vd765_1245] :
( ( vf(Vd765_1245,'#skF_4') = vf('#skF_4',Vd765_1245) )
| ~ rpoint(Vd765_1245) ),
inference(resolution,[status(thm)],[c_60,c_1272]) ).
tff(c_5093,plain,
vf('#skF_7','#skF_4') = vf('#skF_4','#skF_7'),
inference(resolution,[status(thm)],[c_100,c_5006]) ).
tff(c_5134,plain,
vf('#skF_4','#skF_6') = '#skF_11'('#skF_7','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_4005,c_753,c_5093]) ).
tff(c_5132,plain,
vf('#skF_6','#skF_4') = vf('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_68,c_5006]) ).
tff(c_5216,plain,
vf('#skF_6','#skF_4') = '#skF_11'('#skF_7','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_5134,c_5132]) ).
tff(c_7914,plain,
'#skF_11'('#skF_7','#skF_4') = '#skF_11'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_7894,c_5216]) ).
tff(c_44,plain,
vd1178 = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_52,plain,
vd1180 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_695,plain,
vf(vd1178,vd1180) = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_689,c_662]) ).
tff(c_703,plain,
vf(vd1178,'#skF_3') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_695]) ).
tff(c_713,plain,
vf('#skF_1','#skF_3') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_703]) ).
tff(c_5220,plain,
vf('#skF_1','#skF_3') = '#skF_11'('#skF_7','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_5134,c_713]) ).
tff(c_5294,plain,
! [Vd765_1258] :
( ( vf(Vd765_1258,'#skF_1') = vf('#skF_1',Vd765_1258) )
| ~ rpoint(Vd765_1258) ),
inference(resolution,[status(thm)],[c_42,c_1272]) ).
tff(c_5375,plain,
vf('#skF_3','#skF_1') = vf('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_50,c_5294]) ).
tff(c_5420,plain,
vf('#skF_3','#skF_1') = '#skF_11'('#skF_7','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_5220,c_5375]) ).
tff(c_8687,plain,
vf('#skF_3','#skF_1') = '#skF_11'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_7914,c_5420]) ).
tff(c_10209,plain,
'#skF_11'('#skF_6','#skF_4') = '#skF_11'('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10110,c_8687]) ).
tff(c_8689,plain,
vf('#skF_1','#skF_3') = '#skF_11'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_7914,c_5220]) ).
tff(c_10881,plain,
vf('#skF_1','#skF_3') = '#skF_11'('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10209,c_8689]) ).
tff(c_11822,plain,
'#skF_11'('#skF_3','#skF_1') = '#skF_11'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_11389,c_10881]) ).
tff(c_8690,plain,
vf('#skF_4','#skF_6') = '#skF_11'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_7914,c_5134]) ).
tff(c_10882,plain,
vf('#skF_4','#skF_6') = '#skF_11'('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10209,c_8690]) ).
tff(c_11881,plain,
vf('#skF_4','#skF_6') = '#skF_11'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_11822,c_10882]) ).
tff(c_13511,plain,
'#skF_11'('#skF_1','#skF_3') = '#skF_11'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_12600,c_11881]) ).
tff(c_12601,plain,
vf('#skF_4','#skF_7') = '#skF_11'('#skF_4','#skF_7'),
inference(resolution,[status(thm)],[c_100,c_12447]) ).
tff(c_5219,plain,
vf('#skF_4','#skF_7') = '#skF_11'('#skF_7','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_5134,c_753]) ).
tff(c_8688,plain,
vf('#skF_4','#skF_7') = '#skF_11'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_7914,c_5219]) ).
tff(c_10880,plain,
vf('#skF_4','#skF_7') = '#skF_11'('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10209,c_8688]) ).
tff(c_11882,plain,
vf('#skF_4','#skF_7') = '#skF_11'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_11822,c_10880]) ).
tff(c_13737,plain,
'#skF_11'('#skF_1','#skF_3') = '#skF_11'('#skF_4','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_12601,c_11882]) ).
tff(c_14411,plain,
'#skF_11'('#skF_4','#skF_7') = '#skF_11'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_13511,c_13737]) ).
tff(c_56,plain,
vd1180 != vd1178,
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_698,plain,
vd1178 != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_52,c_56]) ).
tff(c_712,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_44,c_698]) ).
tff(c_160,plain,
! [Vd752_47,Vd751_48] :
( ( Vd752_47 = Vd751_48 )
| ( vf(Vd751_48,Vd752_47) != v0 )
| ~ rpoint(Vd751_48)
| ~ rpoint(Vd752_47) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_11839,plain,
( ( '#skF_3' = '#skF_1' )
| ( '#skF_11'('#skF_1','#skF_3') != v0 )
| ~ rpoint('#skF_1')
| ~ rpoint('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_11389,c_160]) ).
tff(c_11858,plain,
( ( '#skF_3' = '#skF_1' )
| ( '#skF_11'('#skF_1','#skF_3') != v0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_42,c_11839]) ).
tff(c_11859,plain,
'#skF_11'('#skF_1','#skF_3') != v0,
inference(negUnitSimplification,[status(thm)],[c_712,c_11858]) ).
tff(c_13825,plain,
'#skF_11'('#skF_4','#skF_7') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_13737,c_11859]) ).
tff(c_14498,plain,
'#skF_11'('#skF_4','#skF_6') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_14411,c_13825]) ).
tff(c_6,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_769,plain,
vangle('#skF_6','#skF_4','#skF_7') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_102,c_70,c_6]) ).
tff(c_14002,plain,
! [Vd867_1467,Vd869_1468,Vd865_1469,Vd863_1470] :
( ron(Vd867_1467,Vd869_1468)
| ( vangle(Vd865_1469,Vd863_1470,Vd867_1467) != v0 )
| ~ rpoint(Vd863_1470)
| ~ rpoint(Vd865_1469)
| ~ rpoint(Vd867_1467)
| ~ rline(Vd869_1468)
| ( Vd865_1469 = Vd863_1470 )
| ( Vd867_1467 = Vd863_1470 )
| ~ ron(Vd863_1470,Vd869_1468)
| ~ ron(Vd865_1469,Vd869_1468) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_14012,plain,
! [Vd869_1468] :
( ron('#skF_7',Vd869_1468)
| ~ rpoint('#skF_4')
| ~ rpoint('#skF_6')
| ~ rpoint('#skF_7')
| ~ rline(Vd869_1468)
| ( '#skF_6' = '#skF_4' )
| ( '#skF_7' = '#skF_4' )
| ~ ron('#skF_4',Vd869_1468)
| ~ ron('#skF_6',Vd869_1468) ),
inference(superposition,[status(thm),theory(equality)],[c_769,c_14002]) ).
tff(c_14025,plain,
! [Vd869_1468] :
( ron('#skF_7',Vd869_1468)
| ~ rline(Vd869_1468)
| ( '#skF_6' = '#skF_4' )
| ( '#skF_7' = '#skF_4' )
| ~ ron('#skF_4',Vd869_1468)
| ~ ron('#skF_6',Vd869_1468) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_68,c_60,c_14012]) ).
tff(c_59530,plain,
'#skF_7' = '#skF_4',
inference(splitLeft,[status(thm)],[c_14025]) ).
tff(c_10886,plain,
'#skF_11'('#skF_7','#skF_4') = '#skF_11'('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10209,c_7914]) ).
tff(c_11879,plain,
'#skF_11'('#skF_7','#skF_4') = '#skF_11'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_11822,c_10886]) ).
tff(c_13818,plain,
'#skF_11'('#skF_7','#skF_4') = '#skF_11'('#skF_4','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_13737,c_11879]) ).
tff(c_14802,plain,
'#skF_11'('#skF_7','#skF_4') = '#skF_11'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_14411,c_13818]) ).
tff(c_59705,plain,
'#skF_11'('#skF_4','#skF_6') = '#skF_11'('#skF_4','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_59530,c_14802]) ).
tff(c_59854,plain,
'#skF_11'('#skF_4','#skF_6') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_12597,c_59705]) ).
tff(c_59856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14498,c_59854]) ).
tff(c_59857,plain,
! [Vd869_1468] :
( ( '#skF_6' = '#skF_4' )
| ron('#skF_7',Vd869_1468)
| ~ rline(Vd869_1468)
| ~ ron('#skF_4',Vd869_1468)
| ~ ron('#skF_6',Vd869_1468) ),
inference(splitRight,[status(thm)],[c_14025]) ).
tff(c_60268,plain,
'#skF_6' = '#skF_4',
inference(splitLeft,[status(thm)],[c_59857]) ).
tff(c_60503,plain,
'#skF_11'('#skF_4','#skF_4') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_60268,c_14498]) ).
tff(c_60676,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12597,c_60503]) ).
tff(c_61110,plain,
! [Vd869_2477] :
( ron('#skF_7',Vd869_2477)
| ~ rline(Vd869_2477)
| ~ ron('#skF_4',Vd869_2477)
| ~ ron('#skF_6',Vd869_2477) ),
inference(splitRight,[status(thm)],[c_59857]) ).
tff(c_156,plain,
~ ron(vd1201,vd1232),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_654,plain,
~ ron('#skF_7',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_156]) ).
tff(c_61171,plain,
( ~ rline(vd1232)
| ~ ron('#skF_4',vd1232)
| ~ ron('#skF_6',vd1232) ),
inference(resolution,[status(thm)],[c_61110,c_654]) ).
tff(c_61250,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_768,c_765,c_16,c_61171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % 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
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 4 00:51:47 EDT 2023
% 0.13/0.36 % CPUTime :
% 74.93/54.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.93/54.44
% 74.93/54.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 75.11/54.48
% 75.11/54.48 Inference rules
% 75.11/54.48 ----------------------
% 75.11/54.48 #Ref : 2
% 75.11/54.48 #Sup : 15000
% 75.11/54.48 #Fact : 8
% 75.11/54.48 #Define : 0
% 75.11/54.48 #Split : 38
% 75.11/54.48 #Chain : 0
% 75.11/54.48 #Close : 0
% 75.11/54.48
% 75.11/54.48 Ordering : KBO
% 75.11/54.48
% 75.11/54.48 Simplification rules
% 75.11/54.48 ----------------------
% 75.11/54.48 #Subsume : 674
% 75.11/54.48 #Demod : 15732
% 75.11/54.48 #Tautology : 4129
% 75.11/54.48 #SimpNegUnit : 838
% 75.11/54.48 #BackRed : 1018
% 75.11/54.48
% 75.11/54.48 #Partial instantiations: 0
% 75.11/54.48 #Strategies tried : 1
% 75.11/54.48
% 75.11/54.48 Timing (in seconds)
% 75.11/54.48 ----------------------
% 75.11/54.49 Preprocessing : 1.40
% 75.11/54.49 Parsing : 0.71
% 75.11/54.49 CNF conversion : 0.11
% 75.11/54.49 Main loop : 51.87
% 75.11/54.49 Inferencing : 6.14
% 75.11/54.49 Reduction : 26.37
% 75.11/54.49 Demodulation : 24.01
% 75.11/54.49 BG Simplification : 0.41
% 75.11/54.49 Subsumption : 17.14
% 75.11/54.49 Abstraction : 0.59
% 75.11/54.49 MUC search : 0.00
% 75.11/54.49 Cooper : 0.00
% 75.11/54.49 Total : 53.35
% 75.11/54.49 Index Insertion : 0.00
% 75.11/54.49 Index Deletion : 0.00
% 75.11/54.49 Index Matching : 0.00
% 75.11/54.49 BG Taut test : 0.00
%------------------------------------------------------------------------------