TSTP Solution File: GEO280+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO280+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 : n008.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 17.50s 5.85s
% Output : CNFRefutation 17.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 94
% Syntax : Number of formulae : 169 ( 58 unt; 84 typ; 0 def)
% Number of atoms : 164 ( 58 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 128 ( 49 ~; 42 |; 31 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 280 ( 69 >; 211 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 15 con; 0-18 aty)
% Number of variables : 46 (; 39 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1139 > vd1138 > vd1136 > vd1130 > vd1129 > vd1128 > vd1127 > vd1126 > vd1125 > vd1124 > vd1123 > v0 > #skF_33 > #skF_6 > #skF_13 > #skF_19 > #skF_44 > #skF_47 > #skF_17 > #skF_5 > #skF_34 > #skF_18 > #skF_35 > #skF_39 > #skF_12 > #skF_3 > #skF_45 > #skF_20 > #skF_41 > #skF_30 > #skF_48 > #skF_25 > #skF_10 > #skF_26 > #skF_37 > #skF_9 > #skF_11 > #skF_15 > #skF_31 > #skF_24 > #skF_46 > #skF_38 > #skF_28 > #skF_29 > #skF_14 > #skF_2 > #skF_21 > #skF_40 > #skF_36 > #skF_43 > #skF_7 > #skF_27 > #skF_1 > #skF_16 > #skF_22 > #skF_4 > #skF_8 > #skF_42 > #skF_23 > #skF_32
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(vd1124,type,
vd1124: $i ).
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff(vd1138,type,
vd1138: $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff(vd1139,type,
vd1139: $i ).
tff(vd1123,type,
vd1123: $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(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(vplus,type,
vplus: ( $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_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i ) > $i ).
tff(vd1128,type,
vd1128: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff(vd1130,type,
vd1130: $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $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(vd1129,type,
vd1129: $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
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_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1126,type,
vd1126: $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_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_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $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('#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('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff(vd1127,type,
vd1127: $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff(vd1136,type,
vd1136: $i ).
tff('#skF_4',type,
'#skF_4': ( $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_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(vd1125,type,
vd1125: $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_67,axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& ( vd1127 != vd1129 )
& ( vd1123 != vd1125 )
& ( vd1129 = vd1130 )
& rpoint(vd1130)
& ( vd1127 = vd1128 )
& rpoint(vd1128)
& ( vd1125 = vd1126 )
& rpoint(vd1126)
& ( vd1123 = vd1124 )
& rpoint(vd1124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))),1133,0),and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))),1132,0),and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))),1131,0),and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))),2),pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))),1))))),and(pred(conjunct1(conjunct2(conjunct2(242))),2),pred(conjunct1(conjunct2(conjunct2(242))),1))),and(pred(conjunct1(conjunct2(242)),2),pred(conjunct1(conjunct2(242)),1))),and(pred(conjunct1(242),2),pred(conjunct1(242),1)))) ).
tff(f_482,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_2566,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,
rpoint(vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred(245,0)) ).
tff(f_43,axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(245,1137,0)) ).
tff(f_41,axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))),0),and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))),0),and(pred(comma_conjunct2(comma_conjunct2(246)),0),pred(comma_conjunct1(comma_conjunct2(246)),0)))),pred(comma_conjunct1(246),0))) ).
tff(f_32,negated_conjecture,
~ ~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg(neg(247))) ).
tff(f_684,axiom,
! [Vd854,Vd855,Vd859,Vd860] :
( ( ron(Vd855,Vd860)
& rcenter(Vd859,Vd860)
& ? [Vd858] :
( ( Vd855 = Vd858 )
& rpoint(Vd858) )
& ? [Vd857] :
( ( Vd854 = Vd857 )
& rpoint(Vd857) ) )
=> ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))
<=> rinside(Vd854,Vd860) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(186),0),imp(cond(axiom(186),0)))) ).
tff(f_740,axiom,
! [Vd706,Vd707,Vd708,Vd709] :
( ( rless(Vd706,Vd708)
& ( Vd708 = Vd709 )
& rreal(Vd709)
& ( Vd706 = Vd707 )
& rreal(Vd707) )
=> ( ~ rless(Vd708,Vd706)
| ( Vd706 = Vd708 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(147),0),imp(cond(axiom(147),0)))) ).
tff(f_725,axiom,
! [Vd713,Vd714] :
( ( ( Vd713 = Vd714 )
& rreal(Vd714) )
=> ~ rless(Vd713,Vd713) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(149),0),imp(cond(axiom(149),0)))) ).
tff(c_22,plain,
vd1124 = vd1123,
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_20,plain,
rpoint(vd1124),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_555,plain,
rpoint(vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20]) ).
tff(c_26,plain,
vd1126 = vd1125,
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_24,plain,
rpoint(vd1126),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_554,plain,
rpoint(vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24]) ).
tff(c_1172,plain,
! [Vd744_1045,Vd745_1046] :
( ( vf(Vd744_1045,Vd745_1046) = '#skF_6'(Vd744_1045,Vd745_1046) )
| ~ rpoint(Vd744_1045)
| ~ rpoint(Vd745_1046) ),
inference(cnfTransformation,[status(thm)],[f_482]) ).
tff(c_4972,plain,
! [Vd745_1209] :
( ( vf(vd1123,Vd745_1209) = '#skF_6'(vd1123,Vd745_1209) )
| ~ rpoint(Vd745_1209) ),
inference(resolution,[status(thm)],[c_555,c_1172]) ).
tff(c_5082,plain,
vf(vd1123,vd1125) = '#skF_6'(vd1123,vd1125),
inference(resolution,[status(thm)],[c_554,c_4972]) ).
tff(c_2123,plain,
! [Vd745_1098] :
( ( vf(vd1125,Vd745_1098) = '#skF_6'(vd1125,Vd745_1098) )
| ~ rpoint(Vd745_1098) ),
inference(resolution,[status(thm)],[c_554,c_1172]) ).
tff(c_2187,plain,
vf(vd1125,vd1123) = '#skF_6'(vd1125,vd1123),
inference(resolution,[status(thm)],[c_555,c_2123]) ).
tff(c_938,plain,
! [Vd765_1031,Vd764_1032] :
( ( vf(Vd765_1031,Vd764_1032) = vf(Vd764_1032,Vd765_1031) )
| ~ rpoint(Vd764_1032)
| ~ rpoint(Vd765_1031) ),
inference(cnfTransformation,[status(thm)],[f_2566]) ).
tff(c_1507,plain,
! [Vd765_1062] :
( ( vf(vd1125,Vd765_1062) = vf(Vd765_1062,vd1125) )
| ~ rpoint(Vd765_1062) ),
inference(resolution,[status(thm)],[c_554,c_938]) ).
tff(c_1559,plain,
vf(vd1125,vd1123) = vf(vd1123,vd1125),
inference(resolution,[status(thm)],[c_555,c_1507]) ).
tff(c_2818,plain,
vf(vd1123,vd1125) = '#skF_6'(vd1125,vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_2187,c_1559]) ).
tff(c_5403,plain,
'#skF_6'(vd1125,vd1123) = '#skF_6'(vd1123,vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_5082,c_2818]) ).
tff(c_106,plain,
! [Vd744_132,Vd745_131] :
( rreal('#skF_6'(Vd744_132,Vd745_131))
| ~ rpoint(Vd744_132)
| ~ rpoint(Vd745_131) ),
inference(cnfTransformation,[status(thm)],[f_482]) ).
tff(c_5635,plain,
( rreal('#skF_6'(vd1123,vd1125))
| ~ rpoint(vd1125)
| ~ rpoint(vd1123) ),
inference(superposition,[status(thm),theory(equality)],[c_5403,c_106]) ).
tff(c_5639,plain,
rreal('#skF_6'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_555,c_554,c_5635]) ).
tff(c_18,plain,
rpoint(vd1136),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_5079,plain,
vf(vd1123,vd1136) = '#skF_6'(vd1123,vd1136),
inference(resolution,[status(thm)],[c_18,c_4972]) ).
tff(c_34,plain,
vd1130 = vd1129,
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_32,plain,
rpoint(vd1130),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_552,plain,
rpoint(vd1129),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).
tff(c_30,plain,
vd1128 = vd1127,
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_28,plain,
rpoint(vd1128),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_553,plain,
rpoint(vd1127),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_28]) ).
tff(c_4255,plain,
! [Vd745_1181] :
( ( vf(vd1127,Vd745_1181) = '#skF_6'(vd1127,Vd745_1181) )
| ~ rpoint(Vd745_1181) ),
inference(resolution,[status(thm)],[c_553,c_1172]) ).
tff(c_4364,plain,
vf(vd1127,vd1129) = '#skF_6'(vd1127,vd1129),
inference(resolution,[status(thm)],[c_552,c_4255]) ).
tff(c_3544,plain,
! [Vd745_1156] :
( ( vf(vd1129,Vd745_1156) = '#skF_6'(vd1129,Vd745_1156) )
| ~ rpoint(Vd745_1156) ),
inference(resolution,[status(thm)],[c_552,c_1172]) ).
tff(c_3647,plain,
vf(vd1129,vd1127) = '#skF_6'(vd1129,vd1127),
inference(resolution,[status(thm)],[c_553,c_3544]) ).
tff(c_3115,plain,
! [Vd745_1135] :
( ( vf(vd1136,Vd745_1135) = '#skF_6'(vd1136,Vd745_1135) )
| ~ rpoint(Vd745_1135) ),
inference(resolution,[status(thm)],[c_18,c_1172]) ).
tff(c_3216,plain,
vf(vd1136,vd1123) = '#skF_6'(vd1136,vd1123),
inference(resolution,[status(thm)],[c_555,c_3115]) ).
tff(c_3355,plain,
! [Vd765_1149] :
( ( vf(vd1123,Vd765_1149) = vf(Vd765_1149,vd1123) )
| ~ rpoint(Vd765_1149) ),
inference(resolution,[status(thm)],[c_555,c_938]) ).
tff(c_3418,plain,
vf(vd1136,vd1123) = vf(vd1123,vd1136),
inference(resolution,[status(thm)],[c_18,c_3355]) ).
tff(c_3455,plain,
vf(vd1123,vd1136) = '#skF_6'(vd1136,vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_3216,c_3418]) ).
tff(c_16,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1914,plain,
! [Vd765_1090] :
( ( vf(vd1129,Vd765_1090) = vf(Vd765_1090,vd1129) )
| ~ rpoint(Vd765_1090) ),
inference(resolution,[status(thm)],[c_552,c_938]) ).
tff(c_1956,plain,
vf(vd1129,vd1127) = vf(vd1127,vd1129),
inference(resolution,[status(thm)],[c_553,c_1914]) ).
tff(c_1978,plain,
vf(vd1129,vd1127) = vf(vd1123,vd1136),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1956]) ).
tff(c_3466,plain,
vf(vd1129,vd1127) = '#skF_6'(vd1136,vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_3455,c_1978]) ).
tff(c_3799,plain,
'#skF_6'(vd1136,vd1123) = '#skF_6'(vd1129,vd1127),
inference(demodulation,[status(thm),theory(equality)],[c_3647,c_3466]) ).
tff(c_3469,plain,
vf(vd1127,vd1129) = '#skF_6'(vd1136,vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_3455,c_16]) ).
tff(c_3857,plain,
vf(vd1127,vd1129) = '#skF_6'(vd1129,vd1127),
inference(demodulation,[status(thm),theory(equality)],[c_3799,c_3469]) ).
tff(c_4417,plain,
'#skF_6'(vd1129,vd1127) = '#skF_6'(vd1127,vd1129),
inference(demodulation,[status(thm),theory(equality)],[c_4364,c_3857]) ).
tff(c_3858,plain,
vf(vd1123,vd1136) = '#skF_6'(vd1129,vd1127),
inference(demodulation,[status(thm),theory(equality)],[c_3799,c_3455]) ).
tff(c_4488,plain,
vf(vd1123,vd1136) = '#skF_6'(vd1127,vd1129),
inference(demodulation,[status(thm),theory(equality)],[c_4417,c_3858]) ).
tff(c_5180,plain,
'#skF_6'(vd1127,vd1129) = '#skF_6'(vd1123,vd1136),
inference(demodulation,[status(thm),theory(equality)],[c_5079,c_4488]) ).
tff(c_40,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_556,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_40]) ).
tff(c_2888,plain,
rless(vf(vd1123,vd1136),'#skF_6'(vd1125,vd1123)),
inference(demodulation,[status(thm),theory(equality)],[c_2818,c_556]) ).
tff(c_3465,plain,
rless('#skF_6'(vd1136,vd1123),'#skF_6'(vd1125,vd1123)),
inference(demodulation,[status(thm),theory(equality)],[c_3455,c_2888]) ).
tff(c_3856,plain,
rless('#skF_6'(vd1129,vd1127),'#skF_6'(vd1125,vd1123)),
inference(demodulation,[status(thm),theory(equality)],[c_3799,c_3465]) ).
tff(c_4486,plain,
rless('#skF_6'(vd1127,vd1129),'#skF_6'(vd1125,vd1123)),
inference(demodulation,[status(thm),theory(equality)],[c_4417,c_3856]) ).
tff(c_5527,plain,
rless('#skF_6'(vd1123,vd1136),'#skF_6'(vd1125,vd1123)),
inference(demodulation,[status(thm),theory(equality)],[c_5180,c_4486]) ).
tff(c_5765,plain,
rless('#skF_6'(vd1123,vd1136),'#skF_6'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_5403,c_5527]) ).
tff(c_3866,plain,
( rreal('#skF_6'(vd1129,vd1127))
| ~ rpoint(vd1136)
| ~ rpoint(vd1123) ),
inference(superposition,[status(thm),theory(equality)],[c_3799,c_106]) ).
tff(c_3870,plain,
rreal('#skF_6'(vd1129,vd1127)),
inference(demodulation,[status(thm),theory(equality)],[c_555,c_18,c_3866]) ).
tff(c_4489,plain,
rreal('#skF_6'(vd1127,vd1129)),
inference(demodulation,[status(thm),theory(equality)],[c_4417,c_3870]) ).
tff(c_5531,plain,
rreal('#skF_6'(vd1123,vd1136)),
inference(demodulation,[status(thm),theory(equality)],[c_5180,c_4489]) ).
tff(c_12,plain,
ron(vd1136,vd1139),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_10,plain,
rcenter(vd1123,vd1139),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2,plain,
rinside(vd1125,vd1139),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_10249,plain,
! [Vd859_1403,Vd857_1404,Vd858_1405,Vd860_1406] :
( rless(vf(Vd859_1403,Vd857_1404),vf(Vd859_1403,Vd858_1405))
| ~ rinside(Vd857_1404,Vd860_1406)
| ~ rpoint(Vd857_1404)
| ~ rpoint(Vd858_1405)
| ~ rcenter(Vd859_1403,Vd860_1406)
| ~ ron(Vd858_1405,Vd860_1406) ),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_10255,plain,
! [Vd859_1403,Vd858_1405] :
( rless(vf(Vd859_1403,vd1125),vf(Vd859_1403,Vd858_1405))
| ~ rpoint(vd1125)
| ~ rpoint(Vd858_1405)
| ~ rcenter(Vd859_1403,vd1139)
| ~ ron(Vd858_1405,vd1139) ),
inference(resolution,[status(thm)],[c_2,c_10249]) ).
tff(c_10422,plain,
! [Vd859_1408,Vd858_1409] :
( rless(vf(Vd859_1408,vd1125),vf(Vd859_1408,Vd858_1409))
| ~ rpoint(Vd858_1409)
| ~ rcenter(Vd859_1408,vd1139)
| ~ ron(Vd858_1409,vd1139) ),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_10255]) ).
tff(c_10502,plain,
( rless(vf(vd1123,vd1125),'#skF_6'(vd1123,vd1136))
| ~ rpoint(vd1136)
| ~ rcenter(vd1123,vd1139)
| ~ ron(vd1136,vd1139) ),
inference(superposition,[status(thm),theory(equality)],[c_5079,c_10422]) ).
tff(c_10625,plain,
rless('#skF_6'(vd1123,vd1125),'#skF_6'(vd1123,vd1136)),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_18,c_5082,c_10502]) ).
tff(c_186,plain,
! [Vd709_229,Vd707_227] :
( ( Vd709_229 = Vd707_227 )
| ~ rless(Vd709_229,Vd707_227)
| ~ rreal(Vd707_227)
| ~ rreal(Vd709_229)
| ~ rless(Vd707_227,Vd709_229) ),
inference(cnfTransformation,[status(thm)],[f_740]) ).
tff(c_10677,plain,
( ( '#skF_6'(vd1123,vd1136) = '#skF_6'(vd1123,vd1125) )
| ~ rreal('#skF_6'(vd1123,vd1136))
| ~ rreal('#skF_6'(vd1123,vd1125))
| ~ rless('#skF_6'(vd1123,vd1136),'#skF_6'(vd1123,vd1125)) ),
inference(resolution,[status(thm)],[c_10625,c_186]) ).
tff(c_10683,plain,
'#skF_6'(vd1123,vd1136) = '#skF_6'(vd1123,vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_5765,c_5639,c_5531,c_10677]) ).
tff(c_10684,plain,
rless('#skF_6'(vd1123,vd1125),'#skF_6'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_10683,c_10625]) ).
tff(c_184,plain,
! [Vd714_225] :
( ~ rless(Vd714_225,Vd714_225)
| ~ rreal(Vd714_225) ),
inference(cnfTransformation,[status(thm)],[f_725]) ).
tff(c_10884,plain,
~ rreal('#skF_6'(vd1123,vd1125)),
inference(resolution,[status(thm)],[c_10684,c_184]) ).
tff(c_10895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5639,c_10884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO280+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/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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:15:34 EDT 2023
% 0.21/0.35 % CPUTime :
% 17.50/5.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.53/5.86
% 17.53/5.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.53/5.89
% 17.53/5.89 Inference rules
% 17.53/5.89 ----------------------
% 17.53/5.89 #Ref : 1
% 17.53/5.89 #Sup : 2690
% 17.53/5.89 #Fact : 2
% 17.53/5.89 #Define : 0
% 17.53/5.89 #Split : 17
% 17.53/5.89 #Chain : 0
% 17.53/5.89 #Close : 0
% 17.53/5.89
% 17.53/5.89 Ordering : KBO
% 17.53/5.89
% 17.53/5.89 Simplification rules
% 17.53/5.89 ----------------------
% 17.53/5.89 #Subsume : 91
% 17.53/5.89 #Demod : 1517
% 17.53/5.89 #Tautology : 799
% 17.53/5.89 #SimpNegUnit : 27
% 17.53/5.89 #BackRed : 108
% 17.53/5.89
% 17.53/5.89 #Partial instantiations: 0
% 17.53/5.89 #Strategies tried : 1
% 17.53/5.89
% 17.53/5.89 Timing (in seconds)
% 17.53/5.89 ----------------------
% 17.53/5.90 Preprocessing : 1.21
% 17.53/5.90 Parsing : 0.58
% 17.53/5.90 CNF conversion : 0.10
% 17.53/5.90 Main loop : 3.53
% 17.53/5.90 Inferencing : 0.99
% 17.53/5.90 Reduction : 1.26
% 17.53/5.90 Demodulation : 1.00
% 17.53/5.90 BG Simplification : 0.14
% 17.53/5.90 Subsumption : 0.95
% 17.53/5.90 Abstraction : 0.08
% 17.53/5.90 MUC search : 0.00
% 17.53/5.90 Cooper : 0.00
% 17.53/5.90 Total : 4.80
% 17.53/5.90 Index Insertion : 0.00
% 17.53/5.90 Index Deletion : 0.00
% 17.53/5.90 Index Matching : 0.00
% 17.53/5.90 BG Taut test : 0.00
%------------------------------------------------------------------------------