TSTP Solution File: GEO274+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO274+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/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 10:38:58 EDT 2023
% Result : Theorem 25.80s 10.11s
% Output : CNFRefutation 25.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 93
% Syntax : Number of formulae : 146 ( 41 unt; 81 typ; 0 def)
% Number of atoms : 151 ( 69 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 141 ( 55 ~; 53 |; 27 &)
% ( 1 <=>; 5 =>; 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 : 67 ( 67 usr; 13 con; 0-18 aty)
% Number of variables : 45 (; 33 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1092 > vd1089 > vd1086 > vd1085 > vd1081 > vd1080 > v0 > #skF_35 > #skF_31 > #skF_41 > #skF_34 > #skF_39 > #skF_13 > #skF_19 > #skF_27 > #skF_44 > #skF_47 > #skF_17 > #skF_45 > #skF_18 > #skF_12 > #skF_3 > #skF_38 > #skF_6 > #skF_20 > #skF_37 > #skF_42 > #skF_32 > #skF_10 > #skF_26 > #skF_36 > #skF_49 > #skF_2 > #skF_1 > #skF_9 > #skF_11 > #skF_29 > #skF_43 > #skF_15 > #skF_51 > #skF_28 > #skF_24 > #skF_46 > #skF_30 > #skF_50 > #skF_4 > #skF_25 > #skF_14 > #skF_21 > #skF_7 > #skF_48 > #skF_40 > #skF_16 > #skF_5 > #skF_22 > #skF_33 > #skF_8 > #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_31',type,
'#skF_31': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff('#skF_39',type,
'#skF_39': ( $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('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff(vd1092,type,
vd1092: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(vd1080,type,
vd1080: $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $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_38',type,
'#skF_38': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $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('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $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('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1081,type,
vd1081: $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $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_30',type,
'#skF_30': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $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('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(vd1089,type,
vd1089: $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff(vd1086,type,
vd1086: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i * $i * $i ) > $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_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff(f_54,axiom,
? [Vd1083] :
( ( vd1080 = Vd1083 )
& rpoint(Vd1083) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qe(s1(plural(224)))) ).
tff(f_49,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(conjunct1(225),1087,0)) ).
tff(f_47,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred(225,4)) ).
tff(f_50,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred(225,1)) ).
tff(f_174,axiom,
! [Vd741,Vd742] :
( ( ? [Vd745] :
( ( Vd742 = Vd745 )
& rpoint(Vd745) )
& ? [Vd744] :
( ( Vd741 = Vd744 )
& rpoint(Vd744) ) )
=> ? [Vd747] :
( ( vf(Vd741,Vd742) = Vd747 )
& rreal(Vd747) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(160),0),imp(cond(axiom(160),0)))) ).
tff(f_80,axiom,
! [Vd748,Vd749] :
( ( ? [Vd752] :
( ( Vd749 = Vd752 )
& rpoint(Vd752) )
& ? [Vd751] :
( ( Vd748 = Vd751 )
& rpoint(Vd751) ) )
=> ( ( vf(Vd748,Vd749) = v0 )
<=> ( Vd748 = Vd749 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(162),0),imp(cond(axiom(162),0)))) ).
tff(f_38,negated_conjecture,
~ ! [Vdthex] :
( ( ron(vd1089,Vdthex)
& ron(vd1080,Vdthex)
& rline(Vdthex) )
=> ( Vdthex = vd1092 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(theu(the(227),1),imp(the(227)))) ).
tff(f_43,axiom,
( ron(vd1089,vd1092)
& ron(vd1080,vd1092)
& rline(vd1092) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(pred(s2(plural(the(227))),0),and(pred(s1(plural(the(227))),0),pred(the(227),0)))) ).
tff(f_46,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred(226,0)) ).
tff(f_1441,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/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(73),0),imp(cond(axiom(73),0)))) ).
tff(f_66,axiom,
! [Vd761,Vd762] :
( ( ? [Vd765] :
( ( Vd762 = Vd765 )
& rpoint(Vd765) )
& ? [Vd764] :
( ( Vd761 = Vd764 )
& rpoint(Vd764) ) )
=> ( vf(Vd761,Vd762) = vf(Vd762,Vd761) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(166),0),imp(cond(axiom(166),0)))) ).
tff(f_44,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(226,1090,1)) ).
tff(c_30,plain,
vd1080 = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_24,plain,
vd1085 != vd1080,
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_545,plain,
vd1085 != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30,c_24]) ).
tff(c_22,plain,
vd1086 = vd1085,
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_26,plain,
rpoint(vd1086),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_546,plain,
rpoint(vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_26]) ).
tff(c_28,plain,
rpoint('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_1031,plain,
! [Vd744_1019,Vd745_1020] :
( ( vf(Vd744_1019,Vd745_1020) = '#skF_5'(Vd744_1019,Vd745_1020) )
| ~ rpoint(Vd744_1019)
| ~ rpoint(Vd745_1020) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_2158,plain,
! [Vd745_1076] :
( ( vf('#skF_2',Vd745_1076) = '#skF_5'('#skF_2',Vd745_1076) )
| ~ rpoint(Vd745_1076) ),
inference(resolution,[status(thm)],[c_28,c_1031]) ).
tff(c_2222,plain,
vf('#skF_2',vd1085) = '#skF_5'('#skF_2',vd1085),
inference(resolution,[status(thm)],[c_546,c_2158]) ).
tff(c_36,plain,
! [Vd752_11,Vd751_12] :
( ( Vd752_11 = Vd751_12 )
| ( vf(Vd751_12,Vd752_11) != v0 )
| ~ rpoint(Vd751_12)
| ~ rpoint(Vd752_11) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_2633,plain,
( ( vd1085 = '#skF_2' )
| ( '#skF_5'('#skF_2',vd1085) != v0 )
| ~ rpoint('#skF_2')
| ~ rpoint(vd1085) ),
inference(superposition,[status(thm),theory(equality)],[c_2222,c_36]) ).
tff(c_2640,plain,
( ( vd1085 = '#skF_2' )
| ( '#skF_5'('#skF_2',vd1085) != v0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_546,c_28,c_2633]) ).
tff(c_2641,plain,
'#skF_5'('#skF_2',vd1085) != v0,
inference(negUnitSimplification,[status(thm)],[c_545,c_2640]) ).
tff(c_575,plain,
! [Vd752_968] :
( ( vf(Vd752_968,Vd752_968) = v0 )
| ~ rpoint(Vd752_968) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_592,plain,
vf('#skF_2','#skF_2') = v0,
inference(resolution,[status(thm)],[c_28,c_575]) ).
tff(c_6,plain,
ron(vd1080,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_551,plain,
ron('#skF_2','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_6]) ).
tff(c_12,plain,
ron(vd1080,vd1092),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_550,plain,
ron('#skF_2',vd1092),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_12]) ).
tff(c_2,plain,
vd1092 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_10,plain,
rline(vd1092),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_14,plain,
ron(vd1089,vd1092),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_4,plain,
rline('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_20,plain,
rpoint(vd1089),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_8,plain,
ron(vd1089,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_19373,plain,
! [Vd324_1582,Vd323_1583,Vd317_1584,Vd318_1585] :
( ( Vd324_1582 = Vd323_1583 )
| ~ rpoint(Vd317_1584)
| ~ rpoint(Vd318_1585)
| ( Vd318_1585 = Vd317_1584 )
| ~ rline(Vd323_1583)
| ~ rline(Vd324_1582)
| ~ ron(Vd317_1584,Vd323_1583)
| ~ ron(Vd317_1584,Vd324_1582)
| ~ ron(Vd318_1585,Vd323_1583)
| ~ ron(Vd318_1585,Vd324_1582) ),
inference(cnfTransformation,[status(thm)],[f_1441]) ).
tff(c_19427,plain,
! [Vd324_1582,Vd318_1585] :
( ( Vd324_1582 = '#skF_1' )
| ~ rpoint(vd1089)
| ~ rpoint(Vd318_1585)
| ( vd1089 = Vd318_1585 )
| ~ rline('#skF_1')
| ~ rline(Vd324_1582)
| ~ ron(vd1089,Vd324_1582)
| ~ ron(Vd318_1585,'#skF_1')
| ~ ron(Vd318_1585,Vd324_1582) ),
inference(resolution,[status(thm)],[c_8,c_19373]) ).
tff(c_19518,plain,
! [Vd324_1586,Vd318_1587] :
( ( Vd324_1586 = '#skF_1' )
| ~ rpoint(Vd318_1587)
| ( vd1089 = Vd318_1587 )
| ~ rline(Vd324_1586)
| ~ ron(vd1089,Vd324_1586)
| ~ ron(Vd318_1587,'#skF_1')
| ~ ron(Vd318_1587,Vd324_1586) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20,c_19427]) ).
tff(c_19529,plain,
! [Vd318_1587] :
( ( vd1092 = '#skF_1' )
| ~ rpoint(Vd318_1587)
| ( vd1089 = Vd318_1587 )
| ~ rline(vd1092)
| ~ ron(Vd318_1587,'#skF_1')
| ~ ron(Vd318_1587,vd1092) ),
inference(resolution,[status(thm)],[c_14,c_19518]) ).
tff(c_19543,plain,
! [Vd318_1587] :
( ( vd1092 = '#skF_1' )
| ~ rpoint(Vd318_1587)
| ( vd1089 = Vd318_1587 )
| ~ ron(Vd318_1587,'#skF_1')
| ~ ron(Vd318_1587,vd1092) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_19529]) ).
tff(c_19737,plain,
! [Vd318_1592] :
( ~ rpoint(Vd318_1592)
| ( vd1089 = Vd318_1592 )
| ~ ron(Vd318_1592,'#skF_1')
| ~ ron(Vd318_1592,vd1092) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_19543]) ).
tff(c_19823,plain,
( ~ rpoint('#skF_2')
| ( vd1089 = '#skF_2' )
| ~ ron('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_550,c_19737]) ).
tff(c_19866,plain,
vd1089 = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_551,c_28,c_19823]) ).
tff(c_1489,plain,
! [Vd745_1041] :
( ( vf(vd1085,Vd745_1041) = '#skF_5'(vd1085,Vd745_1041) )
| ~ rpoint(Vd745_1041) ),
inference(resolution,[status(thm)],[c_546,c_1031]) ).
tff(c_1541,plain,
vf(vd1085,'#skF_2') = '#skF_5'(vd1085,'#skF_2'),
inference(resolution,[status(thm)],[c_28,c_1489]) ).
tff(c_916,plain,
! [Vd765_1013,Vd764_1014] :
( ( vf(Vd765_1013,Vd764_1014) = vf(Vd764_1014,Vd765_1013) )
| ~ rpoint(Vd764_1014)
| ~ rpoint(Vd765_1013) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_2015,plain,
! [Vd765_1073] :
( ( vf(vd1085,Vd765_1073) = vf(Vd765_1073,vd1085) )
| ~ rpoint(Vd765_1073) ),
inference(resolution,[status(thm)],[c_546,c_916]) ).
tff(c_2051,plain,
vf(vd1085,'#skF_2') = vf('#skF_2',vd1085),
inference(resolution,[status(thm)],[c_28,c_2015]) ).
tff(c_2076,plain,
vf('#skF_2',vd1085) = '#skF_5'(vd1085,'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1541,c_2051]) ).
tff(c_2630,plain,
'#skF_5'(vd1085,'#skF_2') = '#skF_5'('#skF_2',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2222,c_2076]) ).
tff(c_16,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_548,plain,
vf(vd1089,'#skF_2') = vf(vd1085,'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_30,c_16]) ).
tff(c_1599,plain,
vf(vd1089,'#skF_2') = '#skF_5'(vd1085,'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1541,c_548]) ).
tff(c_2662,plain,
vf(vd1089,'#skF_2') = '#skF_5'('#skF_2',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2630,c_1599]) ).
tff(c_2221,plain,
vf('#skF_2',vd1089) = '#skF_5'('#skF_2',vd1089),
inference(resolution,[status(thm)],[c_20,c_2158]) ).
tff(c_3607,plain,
! [Vd765_1129] :
( ( vf(Vd765_1129,'#skF_2') = vf('#skF_2',Vd765_1129) )
| ~ rpoint(Vd765_1129) ),
inference(resolution,[status(thm)],[c_28,c_916]) ).
tff(c_3676,plain,
vf(vd1089,'#skF_2') = vf('#skF_2',vd1089),
inference(resolution,[status(thm)],[c_20,c_3607]) ).
tff(c_3708,plain,
'#skF_5'('#skF_2',vd1089) = '#skF_5'('#skF_2',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_2662,c_2221,c_3676]) ).
tff(c_3743,plain,
vf('#skF_2',vd1089) = '#skF_5'('#skF_2',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_3708,c_2221]) ).
tff(c_20022,plain,
vf('#skF_2','#skF_2') = '#skF_5'('#skF_2',vd1085),
inference(demodulation,[status(thm),theory(equality)],[c_19866,c_3743]) ).
tff(c_20150,plain,
'#skF_5'('#skF_2',vd1085) = v0,
inference(demodulation,[status(thm),theory(equality)],[c_592,c_20022]) ).
tff(c_20152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2641,c_20150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO274+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 4 00:58:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 25.80/10.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.80/10.12
% 25.80/10.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.99/10.16
% 25.99/10.16 Inference rules
% 25.99/10.16 ----------------------
% 25.99/10.16 #Ref : 1
% 25.99/10.16 #Sup : 5006
% 25.99/10.16 #Fact : 2
% 25.99/10.16 #Define : 0
% 25.99/10.16 #Split : 18
% 25.99/10.16 #Chain : 0
% 25.99/10.16 #Close : 0
% 25.99/10.16
% 25.99/10.16 Ordering : KBO
% 25.99/10.16
% 25.99/10.16 Simplification rules
% 25.99/10.16 ----------------------
% 25.99/10.16 #Subsume : 326
% 25.99/10.16 #Demod : 3352
% 25.99/10.16 #Tautology : 1550
% 25.99/10.16 #SimpNegUnit : 55
% 25.99/10.16 #BackRed : 413
% 25.99/10.16
% 25.99/10.16 #Partial instantiations: 0
% 25.99/10.16 #Strategies tried : 1
% 25.99/10.16
% 25.99/10.16 Timing (in seconds)
% 25.99/10.16 ----------------------
% 25.99/10.16 Preprocessing : 1.43
% 25.99/10.16 Parsing : 0.75
% 25.99/10.16 CNF conversion : 0.11
% 25.99/10.16 Main loop : 7.57
% 25.99/10.16 Inferencing : 1.69
% 25.99/10.16 Reduction : 3.35
% 25.99/10.16 Demodulation : 2.72
% 25.99/10.16 BG Simplification : 0.19
% 25.99/10.16 Subsumption : 1.89
% 25.99/10.16 Abstraction : 0.16
% 25.99/10.16 MUC search : 0.00
% 25.99/10.16 Cooper : 0.00
% 25.99/10.16 Total : 9.06
% 25.99/10.16 Index Insertion : 0.00
% 25.99/10.16 Index Deletion : 0.00
% 25.99/10.16 Index Matching : 0.00
% 25.99/10.16 BG Taut test : 0.00
%------------------------------------------------------------------------------