TSTP Solution File: GEO294+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO294+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 : n001.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 244.51s 218.53s
% Output : CNFRefutation 244.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 113
% Syntax : Number of formulae : 213 ( 87 unt; 95 typ; 0 def)
% Number of atoms : 266 ( 127 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 240 ( 92 ~; 84 |; 57 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 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 : 68 (; 48 !; 20 ?; 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_35 > #skF_47 > #skF_17 > #skF_50 > #skF_56 > #skF_34 > #skF_57 > #skF_19 > #skF_26 > #skF_30 > #skF_53 > #skF_10 > #skF_44 > #skF_39 > #skF_7 > #skF_12 > #skF_54 > #skF_38 > #skF_40 > #skF_20 > #skF_18 > #skF_32 > #skF_42 > #skF_5 > #skF_45 > #skF_41 > #skF_13 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_11 > #skF_51 > #skF_9 > #skF_29 > #skF_49 > #skF_31 > #skF_24 > #skF_8 > #skF_28 > #skF_46 > #skF_4 > #skF_52 > #skF_25 > #skF_14 > #skF_21 > #skF_36 > #skF_37 > #skF_43 > #skF_27 > #skF_48 > #skF_16 > #skF_55 > #skF_22 > #skF_15 > #skF_33 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i ) > $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(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_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_34',type,
'#skF_34': ( $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('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(vd1197,type,
vd1197: $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(vd1180,type,
vd1180: $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff(vd1234,type,
vd1234: $i ).
tff(vd1232,type,
vd1232: $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_12',type,
'#skF_12': ( $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_38',type,
'#skF_38': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1187,type,
vd1187: $i ).
tff(vd1200,type,
vd1200: $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1199,type,
vd1199: $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $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_3',type,
'#skF_3': $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $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_49',type,
'#skF_49': ( $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $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('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $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('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $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_48',type,
'#skF_48': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $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_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(vd1185,type,
vd1185: $i ).
tff('#skF_33',type,
'#skF_33': ( $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_148,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_321,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_2337,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_168,axiom,
? [Vd1205] :
( ( vd1201 = Vd1205 )
& rpoint(Vd1205) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s3(plural(271)))) ).
tff(f_32,axiom,
vangle(vd1201,vd1185,vd1187) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(302,1241,0)) ).
tff(f_70,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_2322,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_176,axiom,
? [Vd1203] :
( ( vd1199 = Vd1203 )
& rpoint(Vd1203) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s1(plural(271)))) ).
tff(f_36,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(291,1230,0)) ).
tff(f_160,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_201,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s2(plural(293)),0)) ).
tff(f_199,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s1(plural(294)),0)) ).
tff(f_200,axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(294,0)) ).
tff(f_198,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s2(plural(294)),0)) ).
tff(f_179,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg(neg(296))) ).
tff(f_203,axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(293,0)) ).
tff(f_202,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s1(plural(293)),0)) ).
tff(f_1365,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_52,plain,
rpoint('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_844,plain,
! [Vd752_1016] :
( ( vf(Vd752_1016,Vd752_1016) = v0 )
| ~ rpoint(Vd752_1016) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_879,plain,
vf('#skF_4','#skF_4') = v0,
inference(resolution,[status(thm)],[c_52,c_844]) ).
tff(c_1372,plain,
! [Vd744_1061,Vd745_1062] :
( ( vf(Vd744_1061,Vd745_1062) = '#skF_53'(Vd744_1061,Vd745_1062) )
| ~ rpoint(Vd744_1061)
| ~ rpoint(Vd745_1062) ),
inference(cnfTransformation,[status(thm)],[f_2337]) ).
tff(c_5896,plain,
! [Vd745_1274] :
( ( vf('#skF_4',Vd745_1274) = '#skF_53'('#skF_4',Vd745_1274) )
| ~ rpoint(Vd745_1274) ),
inference(resolution,[status(thm)],[c_52,c_1372]) ).
tff(c_5992,plain,
vf('#skF_4','#skF_4') = '#skF_53'('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_52,c_5896]) ).
tff(c_6028,plain,
'#skF_53'('#skF_4','#skF_4') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_879,c_5992]) ).
tff(c_60,plain,
rpoint('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_92,plain,
rpoint('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_54,plain,
vd1185 = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_62,plain,
vd1187 = '#skF_6',
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_94,plain,
vd1201 = '#skF_7',
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_4,plain,
vangle(vd1201,vd1185,vd1187) = v0,
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_763,plain,
vangle('#skF_7','#skF_4','#skF_6') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_62,c_94,c_4]) ).
tff(c_13319,plain,
! [Vd867_1460,Vd869_1461,Vd865_1462,Vd863_1463] :
( ron(Vd867_1460,Vd869_1461)
| ( vangle(Vd865_1462,Vd863_1463,Vd867_1460) != v0 )
| ~ rpoint(Vd863_1463)
| ~ rpoint(Vd865_1462)
| ~ rpoint(Vd867_1460)
| ~ rline(Vd869_1461)
| ( Vd865_1462 = Vd863_1463 )
| ( Vd867_1460 = Vd863_1463 )
| ~ ron(Vd863_1463,Vd869_1461)
| ~ ron(Vd865_1462,Vd869_1461) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_13329,plain,
! [Vd869_1461] :
( ron('#skF_6',Vd869_1461)
| ~ rpoint('#skF_4')
| ~ rpoint('#skF_7')
| ~ rpoint('#skF_6')
| ~ rline(Vd869_1461)
| ( '#skF_7' = '#skF_4' )
| ( '#skF_6' = '#skF_4' )
| ~ ron('#skF_4',Vd869_1461)
| ~ ron('#skF_7',Vd869_1461) ),
inference(superposition,[status(thm),theory(equality)],[c_763,c_13319]) ).
tff(c_13342,plain,
! [Vd869_1461] :
( ron('#skF_6',Vd869_1461)
| ~ rline(Vd869_1461)
| ( '#skF_7' = '#skF_4' )
| ( '#skF_6' = '#skF_4' )
| ~ ron('#skF_4',Vd869_1461)
| ~ ron('#skF_7',Vd869_1461) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_92,c_52,c_13329]) ).
tff(c_57131,plain,
'#skF_6' = '#skF_4',
inference(splitLeft,[status(thm)],[c_13342]) ).
tff(c_6021,plain,
vf('#skF_4','#skF_6') = '#skF_53'('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_60,c_5896]) ).
tff(c_6022,plain,
vf('#skF_4','#skF_7') = '#skF_53'('#skF_4','#skF_7'),
inference(resolution,[status(thm)],[c_92,c_5896]) ).
tff(c_4672,plain,
! [Vd745_1213] :
( ( vf('#skF_6',Vd745_1213) = '#skF_53'('#skF_6',Vd745_1213) )
| ~ rpoint(Vd745_1213) ),
inference(resolution,[status(thm)],[c_60,c_1372]) ).
tff(c_4792,plain,
vf('#skF_6','#skF_4') = '#skF_53'('#skF_6','#skF_4'),
inference(resolution,[status(thm)],[c_52,c_4672]) ).
tff(c_1227,plain,
! [Vd765_1056,Vd764_1057] :
( ( vf(Vd765_1056,Vd764_1057) = vf(Vd764_1057,Vd765_1056) )
| ~ rpoint(Vd764_1057)
| ~ rpoint(Vd765_1056) ),
inference(cnfTransformation,[status(thm)],[f_2322]) ).
tff(c_2373,plain,
! [Vd765_1115] :
( ( vf(Vd765_1115,'#skF_4') = vf('#skF_4',Vd765_1115) )
| ~ rpoint(Vd765_1115) ),
inference(resolution,[status(thm)],[c_52,c_1227]) ).
tff(c_2442,plain,
vf('#skF_6','#skF_4') = vf('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_60,c_2373]) ).
tff(c_4892,plain,
vf('#skF_4','#skF_6') = '#skF_53'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_2442]) ).
tff(c_102,plain,
vd1199 = '#skF_9',
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_12,plain,
vd1199 = vd1185,
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_744,plain,
'#skF_9' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_54,c_102,c_12]) ).
tff(c_82,plain,
vf(vd1199,vd1201) = vf(vd1178,vd1180),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_658,plain,
vf(vd1178,vd1180) = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_102,c_82]) ).
tff(c_66,plain,
vf(vd1185,vd1187) = vf(vd1178,vd1180),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_664,plain,
vf(vd1185,vd1187) = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_658,c_66]) ).
tff(c_668,plain,
vf(vd1185,'#skF_6') = vf('#skF_9','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_664]) ).
tff(c_685,plain,
vf('#skF_9','#skF_7') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_668]) ).
tff(c_752,plain,
vf('#skF_4','#skF_7') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_744,c_685]) ).
tff(c_4964,plain,
vf('#skF_4','#skF_7') = '#skF_53'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_4892,c_752]) ).
tff(c_6294,plain,
'#skF_53'('#skF_6','#skF_4') = '#skF_53'('#skF_4','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_6022,c_4964]) ).
tff(c_6453,plain,
vf('#skF_4','#skF_6') = '#skF_53'('#skF_4','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_6294,c_4892]) ).
tff(c_7322,plain,
'#skF_53'('#skF_4','#skF_7') = '#skF_53'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_6021,c_6453]) ).
tff(c_36,plain,
vd1178 = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_44,plain,
vd1180 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_48,plain,
vd1180 != vd1178,
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_694,plain,
vd1178 != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48]) ).
tff(c_708,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36,c_694]) ).
tff(c_42,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_34,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_691,plain,
vf(vd1178,vd1180) = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_685,c_658]) ).
tff(c_697,plain,
vf(vd1178,'#skF_3') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_691]) ).
tff(c_709,plain,
vf('#skF_1','#skF_3') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_697]) ).
tff(c_1086,plain,
! [Vd752_1049,Vd751_1050] :
( ( Vd752_1049 = Vd751_1050 )
| ( vf(Vd751_1050,Vd752_1049) != v0 )
| ~ rpoint(Vd751_1050)
| ~ rpoint(Vd752_1049) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_1104,plain,
( ( '#skF_3' = '#skF_1' )
| ( vf('#skF_4','#skF_6') != v0 )
| ~ rpoint('#skF_1')
| ~ rpoint('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_709,c_1086]) ).
tff(c_1144,plain,
( ( '#skF_3' = '#skF_1' )
| ( vf('#skF_4','#skF_6') != v0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_34,c_1104]) ).
tff(c_1145,plain,
vf('#skF_4','#skF_6') != v0,
inference(negUnitSimplification,[status(thm)],[c_708,c_1144]) ).
tff(c_4962,plain,
'#skF_53'('#skF_6','#skF_4') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_4892,c_1145]) ).
tff(c_6452,plain,
'#skF_53'('#skF_4','#skF_7') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_6294,c_4962]) ).
tff(c_7328,plain,
'#skF_53'('#skF_4','#skF_6') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_7322,c_6452]) ).
tff(c_57355,plain,
'#skF_53'('#skF_4','#skF_4') != v0,
inference(demodulation,[status(thm),theory(equality)],[c_57131,c_7328]) ).
tff(c_57576,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6028,c_57355]) ).
tff(c_57578,plain,
'#skF_6' != '#skF_4',
inference(splitRight,[status(thm)],[c_13342]) ).
tff(c_120,plain,
ron(vd1187,vd1232),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_669,plain,
ron('#skF_6',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_120]) ).
tff(c_116,plain,
ron(vd1185,vd1234),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_684,plain,
ron('#skF_4',vd1234),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_116]) ).
tff(c_118,plain,
rline(vd1234),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_114,plain,
ron(vd1201,vd1234),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_651,plain,
ron('#skF_7',vd1234),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_114]) ).
tff(c_57577,plain,
! [Vd869_1461] :
( ( '#skF_7' = '#skF_4' )
| ron('#skF_6',Vd869_1461)
| ~ rline(Vd869_1461)
| ~ ron('#skF_4',Vd869_1461)
| ~ ron('#skF_7',Vd869_1461) ),
inference(splitRight,[status(thm)],[c_13342]) ).
tff(c_57987,plain,
'#skF_7' = '#skF_4',
inference(splitLeft,[status(thm)],[c_57577]) ).
tff(c_2412,plain,
vf('#skF_7','#skF_4') = vf('#skF_4','#skF_7'),
inference(resolution,[status(thm)],[c_92,c_2373]) ).
tff(c_2444,plain,
vf('#skF_7','#skF_4') = vf('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_752,c_2412]) ).
tff(c_4960,plain,
vf('#skF_7','#skF_4') = '#skF_53'('#skF_6','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_4892,c_2444]) ).
tff(c_6450,plain,
vf('#skF_7','#skF_4') = '#skF_53'('#skF_4','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_6294,c_4960]) ).
tff(c_7326,plain,
vf('#skF_7','#skF_4') = '#skF_53'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_7322,c_6450]) ).
tff(c_12845,plain,
! [Vd745_1447] :
( ( vf('#skF_7',Vd745_1447) = '#skF_53'('#skF_7',Vd745_1447) )
| ~ rpoint(Vd745_1447) ),
inference(resolution,[status(thm)],[c_92,c_1372]) ).
tff(c_12959,plain,
vf('#skF_7','#skF_4') = '#skF_53'('#skF_7','#skF_4'),
inference(resolution,[status(thm)],[c_52,c_12845]) ).
tff(c_13007,plain,
'#skF_53'('#skF_7','#skF_4') = '#skF_53'('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_12959]) ).
tff(c_58221,plain,
'#skF_53'('#skF_4','#skF_6') = '#skF_53'('#skF_4','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_57987,c_13007]) ).
tff(c_58451,plain,
'#skF_53'('#skF_4','#skF_6') = v0,
inference(demodulation,[status(thm),theory(equality)],[c_6028,c_58221]) ).
tff(c_58453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7328,c_58451]) ).
tff(c_58829,plain,
! [Vd869_2475] :
( ron('#skF_6',Vd869_2475)
| ~ rline(Vd869_2475)
| ~ ron('#skF_4',Vd869_2475)
| ~ ron('#skF_7',Vd869_2475) ),
inference(splitRight,[status(thm)],[c_57577]) ).
tff(c_58848,plain,
( ron('#skF_6',vd1234)
| ~ rline(vd1234)
| ~ ron('#skF_4',vd1234) ),
inference(resolution,[status(thm)],[c_651,c_58829]) ).
tff(c_58863,plain,
ron('#skF_6',vd1234),
inference(demodulation,[status(thm),theory(equality)],[c_684,c_118,c_58848]) ).
tff(c_106,plain,
~ ron(vd1201,vd1232),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_652,plain,
~ ron('#skF_7',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_106]) ).
tff(c_124,plain,
rline(vd1232),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_122,plain,
ron(vd1185,vd1232),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_683,plain,
ron('#skF_4',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_122]) ).
tff(c_11705,plain,
! [Vd324_1422,Vd323_1423,Vd317_1424,Vd318_1425] :
( ( Vd324_1422 = Vd323_1423 )
| ~ rpoint(Vd317_1424)
| ~ rpoint(Vd318_1425)
| ( Vd318_1425 = Vd317_1424 )
| ~ rline(Vd323_1423)
| ~ rline(Vd324_1422)
| ~ ron(Vd317_1424,Vd323_1423)
| ~ ron(Vd317_1424,Vd324_1422)
| ~ ron(Vd318_1425,Vd323_1423)
| ~ ron(Vd318_1425,Vd324_1422) ),
inference(cnfTransformation,[status(thm)],[f_1365]) ).
tff(c_11759,plain,
! [Vd324_1422,Vd318_1425] :
( ( vd1232 = Vd324_1422 )
| ~ rpoint('#skF_4')
| ~ rpoint(Vd318_1425)
| ( Vd318_1425 = '#skF_4' )
| ~ rline(vd1232)
| ~ rline(Vd324_1422)
| ~ ron('#skF_4',Vd324_1422)
| ~ ron(Vd318_1425,vd1232)
| ~ ron(Vd318_1425,Vd324_1422) ),
inference(resolution,[status(thm)],[c_683,c_11705]) ).
tff(c_83974,plain,
! [Vd324_2619,Vd318_2620] :
( ( vd1232 = Vd324_2619 )
| ~ rpoint(Vd318_2620)
| ( Vd318_2620 = '#skF_4' )
| ~ rline(Vd324_2619)
| ~ ron('#skF_4',Vd324_2619)
| ~ ron(Vd318_2620,vd1232)
| ~ ron(Vd318_2620,Vd324_2619) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_52,c_11759]) ).
tff(c_83990,plain,
! [Vd318_2620] :
( ( vd1234 = vd1232 )
| ~ rpoint(Vd318_2620)
| ( Vd318_2620 = '#skF_4' )
| ~ rline(vd1234)
| ~ ron(Vd318_2620,vd1232)
| ~ ron(Vd318_2620,vd1234) ),
inference(resolution,[status(thm)],[c_684,c_83974]) ).
tff(c_84011,plain,
! [Vd318_2620] :
( ( vd1234 = vd1232 )
| ~ rpoint(Vd318_2620)
| ( Vd318_2620 = '#skF_4' )
| ~ ron(Vd318_2620,vd1232)
| ~ ron(Vd318_2620,vd1234) ),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_83990]) ).
tff(c_184908,plain,
vd1234 = vd1232,
inference(splitLeft,[status(thm)],[c_84011]) ).
tff(c_184939,plain,
ron('#skF_7',vd1232),
inference(demodulation,[status(thm),theory(equality)],[c_184908,c_651]) ).
tff(c_184944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_652,c_184939]) ).
tff(c_184947,plain,
! [Vd318_3372] :
( ~ rpoint(Vd318_3372)
| ( Vd318_3372 = '#skF_4' )
| ~ ron(Vd318_3372,vd1232)
| ~ ron(Vd318_3372,vd1234) ),
inference(splitRight,[status(thm)],[c_84011]) ).
tff(c_184958,plain,
( ~ rpoint('#skF_6')
| ( '#skF_6' = '#skF_4' )
| ~ ron('#skF_6',vd1232) ),
inference(resolution,[status(thm)],[c_58863,c_184947]) ).
tff(c_185101,plain,
'#skF_6' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_669,c_60,c_184958]) ).
tff(c_185103,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57578,c_185101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO294+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 01:21:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 244.51/218.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 244.51/218.54
% 244.51/218.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 244.75/218.58
% 244.75/218.58 Inference rules
% 244.75/218.58 ----------------------
% 244.75/218.58 #Ref : 2
% 244.75/218.58 #Sup : 41746
% 244.75/218.58 #Fact : 8
% 244.75/218.58 #Define : 0
% 244.75/218.58 #Split : 81
% 244.75/218.58 #Chain : 0
% 244.75/218.58 #Close : 0
% 244.75/218.58
% 244.75/218.58 Ordering : KBO
% 244.75/218.58
% 244.75/218.58 Simplification rules
% 244.75/218.58 ----------------------
% 244.75/218.58 #Subsume : 3390
% 244.75/218.58 #Demod : 69293
% 244.75/218.58 #Tautology : 16898
% 244.75/218.58 #SimpNegUnit : 1902
% 244.75/218.58 #BackRed : 9010
% 244.75/218.58
% 244.75/218.58 #Partial instantiations: 0
% 244.75/218.58 #Strategies tried : 1
% 244.75/218.58
% 244.75/218.58 Timing (in seconds)
% 244.75/218.58 ----------------------
% 244.75/218.59 Preprocessing : 1.27
% 244.75/218.59 Parsing : 0.58
% 244.75/218.59 CNF conversion : 0.11
% 244.75/218.59 Main loop : 216.14
% 244.75/218.59 Inferencing : 22.52
% 244.75/218.59 Reduction : 134.21
% 244.75/218.59 Demodulation : 124.98
% 244.75/218.59 BG Simplification : 0.82
% 244.75/218.59 Subsumption : 48.77
% 244.75/218.59 Abstraction : 1.49
% 244.75/218.59 MUC search : 0.00
% 244.75/218.59 Cooper : 0.00
% 244.75/218.59 Total : 217.49
% 244.75/218.59 Index Insertion : 0.00
% 244.75/218.59 Index Deletion : 0.00
% 244.75/218.59 Index Matching : 0.00
% 244.75/218.59 BG Taut test : 0.00
%------------------------------------------------------------------------------