TSTP Solution File: GEO282+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO282+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 : n027.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 19.73s 6.77s
% Output : CNFRefutation 19.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 96
% Syntax : Number of formulae : 146 ( 35 unt; 87 typ; 0 def)
% Number of atoms : 135 ( 42 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 122 ( 46 ~; 39 |; 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 : 73 ( 73 usr; 18 con; 0-18 aty)
% Number of variables : 43 (; 36 !; 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 > vskolem1140 > vskolem1139 > vskolem1138 > vskolem1136 > vperp > vd684 > vd14 > vd1146 > vd1145 > vd1130 > vd1129 > vd1128 > vd1127 > vd1126 > vd1125 > vd1124 > vd1123 > v0 > #skF_33 > #skF_35 > #skF_29 > #skF_37 > #skF_31 > #skF_17 > #skF_41 > #skF_30 > #skF_6 > #skF_34 > #skF_46 > #skF_4 > #skF_10 > #skF_9 > #skF_45 > #skF_27 > #skF_19 > #skF_44 > #skF_12 > #skF_3 > #skF_39 > #skF_8 > #skF_20 > #skF_18 > #skF_48 > #skF_42 > #skF_25 > #skF_47 > #skF_32 > #skF_13 > #skF_11 > #skF_26 > #skF_43 > #skF_24 > #skF_28 > #skF_14 > #skF_38 > #skF_2 > #skF_40 > #skF_36 > #skF_7 > #skF_1 > #skF_16 > #skF_21 > #skF_5 > #skF_22 > #skF_15 > #skF_23
%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('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff(vd1123,type,
vd1123: $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff(vskolem1139,type,
vskolem1139: $i ).
tff(vskolem1138,type,
vskolem1138: $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $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(vd14,type,
vd14: $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff(vd1130,type,
vd1130: $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $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(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1136,type,
vskolem1136: $i ).
tff(vd1126,type,
vd1126: $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff(rpoint,type,
rpoint: $i > $o ).
tff(vd1146,type,
vd1146: $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff(vd1145,type,
vd1145: $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_38',type,
'#skF_38': ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(vskolem1140,type,
vskolem1140: $i ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $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_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $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(f_160,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_249,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_2740,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_43,axiom,
vd1123 = vd1127,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holds(252,1144,0)) ).
tff(f_41,axiom,
( ron(vd1129,vd1146)
& rcenter(vd1123,vd1146)
& rcircle(vd1146)
& ron(vd1125,vd1145)
& ron(vd1123,vd1145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))),0),and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))),0),and(pred(comma_conjunct2(comma_conjunct2(253)),0),pred(comma_conjunct1(comma_conjunct2(253)),0)))),pred(comma_conjunct1(253),0))) ).
tff(f_32,negated_conjecture,
~ ~ rinside(vd1125,vd1146),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg(neg(254))) ).
tff(f_218,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_271,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_256,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_52,plain,
vd1124 = vd1123,
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_50,plain,
rpoint(vd1124),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_581,plain,
rpoint(vd1123),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50]) ).
tff(c_56,plain,
vd1126 = vd1125,
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_54,plain,
rpoint(vd1126),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_580,plain,
rpoint(vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_54]) ).
tff(c_897,plain,
! [Vd744_1029,Vd745_1030] :
( ( vf(Vd744_1029,Vd745_1030) = '#skF_3'(Vd744_1029,Vd745_1030) )
| ~ rpoint(Vd744_1029)
| ~ rpoint(Vd745_1030) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_1193,plain,
! [Vd745_1042] :
( ( vf(vd1123,Vd745_1042) = '#skF_3'(vd1123,Vd745_1042) )
| ~ rpoint(Vd745_1042) ),
inference(resolution,[status(thm)],[c_581,c_897]) ).
tff(c_1237,plain,
vf(vd1123,vd1125) = '#skF_3'(vd1123,vd1125),
inference(resolution,[status(thm)],[c_580,c_1193]) ).
tff(c_1029,plain,
! [Vd765_1034,Vd764_1035] :
( ( vf(Vd765_1034,Vd764_1035) = vf(Vd764_1035,Vd765_1034) )
| ~ rpoint(Vd764_1035)
| ~ rpoint(Vd765_1034) ),
inference(cnfTransformation,[status(thm)],[f_2740]) ).
tff(c_1371,plain,
! [Vd765_1055] :
( ( vf(vd1125,Vd765_1055) = vf(Vd765_1055,vd1125) )
| ~ rpoint(Vd765_1055) ),
inference(resolution,[status(thm)],[c_580,c_1029]) ).
tff(c_1398,plain,
vf(vd1125,vd1123) = vf(vd1123,vd1125),
inference(resolution,[status(thm)],[c_581,c_1371]) ).
tff(c_1417,plain,
vf(vd1125,vd1123) = '#skF_3'(vd1123,vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_1237,c_1398]) ).
tff(c_1503,plain,
! [Vd745_1063] :
( ( vf(vd1125,Vd745_1063) = '#skF_3'(vd1125,Vd745_1063) )
| ~ rpoint(Vd745_1063) ),
inference(resolution,[status(thm)],[c_580,c_897]) ).
tff(c_1533,plain,
vf(vd1125,vd1123) = '#skF_3'(vd1125,vd1123),
inference(resolution,[status(thm)],[c_581,c_1503]) ).
tff(c_1553,plain,
'#skF_3'(vd1125,vd1123) = '#skF_3'(vd1123,vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_1417,c_1533]) ).
tff(c_92,plain,
! [Vd744_35,Vd745_34] :
( rreal('#skF_3'(Vd744_35,Vd745_34))
| ~ rpoint(Vd744_35)
| ~ rpoint(Vd745_34) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_1570,plain,
( rreal('#skF_3'(vd1123,vd1125))
| ~ rpoint(vd1125)
| ~ rpoint(vd1123) ),
inference(superposition,[status(thm),theory(equality)],[c_1553,c_92]) ).
tff(c_1574,plain,
rreal('#skF_3'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_581,c_580,c_1570]) ).
tff(c_64,plain,
vd1130 = vd1129,
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_62,plain,
rpoint(vd1130),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_578,plain,
rpoint(vd1129),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62]) ).
tff(c_1236,plain,
vf(vd1123,vd1129) = '#skF_3'(vd1123,vd1129),
inference(resolution,[status(thm)],[c_578,c_1193]) ).
tff(c_16,plain,
vd1127 = vd1123,
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_70,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_598,plain,
rless(vf(vd1123,vd1129),vf(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_70]) ).
tff(c_1269,plain,
rless('#skF_3'(vd1123,vd1129),vf(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_1236,c_598]) ).
tff(c_1319,plain,
rless('#skF_3'(vd1123,vd1129),'#skF_3'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_1237,c_1269]) ).
tff(c_1828,plain,
! [Vd745_1080] :
( ( vf(vd1129,Vd745_1080) = '#skF_3'(vd1129,Vd745_1080) )
| ~ rpoint(Vd745_1080) ),
inference(resolution,[status(thm)],[c_578,c_897]) ).
tff(c_1881,plain,
vf(vd1129,vd1123) = '#skF_3'(vd1129,vd1123),
inference(resolution,[status(thm)],[c_581,c_1828]) ).
tff(c_2127,plain,
! [Vd765_1092] :
( ( vf(vd1129,Vd765_1092) = vf(Vd765_1092,vd1129) )
| ~ rpoint(Vd765_1092) ),
inference(resolution,[status(thm)],[c_578,c_1029]) ).
tff(c_2160,plain,
vf(vd1129,vd1123) = vf(vd1123,vd1129),
inference(resolution,[status(thm)],[c_581,c_2127]) ).
tff(c_2181,plain,
'#skF_3'(vd1129,vd1123) = '#skF_3'(vd1123,vd1129),
inference(demodulation,[status(thm),theory(equality)],[c_1881,c_1236,c_2160]) ).
tff(c_2195,plain,
( rreal('#skF_3'(vd1123,vd1129))
| ~ rpoint(vd1129)
| ~ rpoint(vd1123) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_92]) ).
tff(c_2199,plain,
rreal('#skF_3'(vd1123,vd1129)),
inference(demodulation,[status(thm),theory(equality)],[c_581,c_578,c_2195]) ).
tff(c_12,plain,
ron(vd1129,vd1146),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_10,plain,
rcenter(vd1123,vd1146),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2,plain,
rinside(vd1125,vd1146),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_16245,plain,
! [Vd859_1499,Vd857_1500,Vd858_1501,Vd860_1502] :
( rless(vf(Vd859_1499,Vd857_1500),vf(Vd859_1499,Vd858_1501))
| ~ rinside(Vd857_1500,Vd860_1502)
| ~ rpoint(Vd857_1500)
| ~ rpoint(Vd858_1501)
| ~ rcenter(Vd859_1499,Vd860_1502)
| ~ ron(Vd858_1501,Vd860_1502) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_16251,plain,
! [Vd859_1499,Vd858_1501] :
( rless(vf(Vd859_1499,vd1125),vf(Vd859_1499,Vd858_1501))
| ~ rpoint(vd1125)
| ~ rpoint(Vd858_1501)
| ~ rcenter(Vd859_1499,vd1146)
| ~ ron(Vd858_1501,vd1146) ),
inference(resolution,[status(thm)],[c_2,c_16245]) ).
tff(c_16333,plain,
! [Vd859_1507,Vd858_1508] :
( rless(vf(Vd859_1507,vd1125),vf(Vd859_1507,Vd858_1508))
| ~ rpoint(Vd858_1508)
| ~ rcenter(Vd859_1507,vd1146)
| ~ ron(Vd858_1508,vd1146) ),
inference(demodulation,[status(thm),theory(equality)],[c_580,c_16251]) ).
tff(c_16563,plain,
( rless(vf(vd1123,vd1125),'#skF_3'(vd1123,vd1129))
| ~ rpoint(vd1129)
| ~ rcenter(vd1123,vd1146)
| ~ ron(vd1129,vd1146) ),
inference(superposition,[status(thm),theory(equality)],[c_1236,c_16333]) ).
tff(c_16684,plain,
rless('#skF_3'(vd1123,vd1125),'#skF_3'(vd1123,vd1129)),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_578,c_1237,c_16563]) ).
tff(c_98,plain,
! [Vd709_41,Vd707_39] :
( ( Vd709_41 = Vd707_39 )
| ~ rless(Vd709_41,Vd707_39)
| ~ rreal(Vd707_39)
| ~ rreal(Vd709_41)
| ~ rless(Vd707_39,Vd709_41) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_16698,plain,
( ( '#skF_3'(vd1123,vd1129) = '#skF_3'(vd1123,vd1125) )
| ~ rreal('#skF_3'(vd1123,vd1129))
| ~ rreal('#skF_3'(vd1123,vd1125))
| ~ rless('#skF_3'(vd1123,vd1129),'#skF_3'(vd1123,vd1125)) ),
inference(resolution,[status(thm)],[c_16684,c_98]) ).
tff(c_16704,plain,
'#skF_3'(vd1123,vd1129) = '#skF_3'(vd1123,vd1125),
inference(demodulation,[status(thm),theory(equality)],[c_1319,c_1574,c_2199,c_16698]) ).
tff(c_16712,plain,
rless('#skF_3'(vd1123,vd1125),'#skF_3'(vd1123,vd1125)),
inference(demodulation,[status(thm),theory(equality)],[c_16704,c_1319]) ).
tff(c_96,plain,
! [Vd714_37] :
( ~ rless(Vd714_37,Vd714_37)
| ~ rreal(Vd714_37) ),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_17099,plain,
~ rreal('#skF_3'(vd1123,vd1125)),
inference(resolution,[status(thm)],[c_16712,c_96]) ).
tff(c_17110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1574,c_17099]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO282+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
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Fri Aug 4 01:05:24 EDT 2023
% 0.18/0.34 % CPUTime :
% 19.73/6.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.73/6.78
% 19.73/6.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.92/6.82
% 19.92/6.82 Inference rules
% 19.92/6.82 ----------------------
% 19.92/6.82 #Ref : 1
% 19.92/6.82 #Sup : 4243
% 19.92/6.82 #Fact : 2
% 19.92/6.82 #Define : 0
% 19.92/6.82 #Split : 9
% 19.92/6.82 #Chain : 0
% 19.92/6.82 #Close : 0
% 19.92/6.82
% 19.92/6.82 Ordering : KBO
% 19.92/6.82
% 19.92/6.82 Simplification rules
% 19.92/6.82 ----------------------
% 19.92/6.82 #Subsume : 59
% 19.92/6.82 #Demod : 2142
% 19.92/6.82 #Tautology : 1084
% 19.92/6.82 #SimpNegUnit : 7
% 19.92/6.82 #BackRed : 109
% 19.92/6.82
% 19.92/6.82 #Partial instantiations: 0
% 19.92/6.82 #Strategies tried : 1
% 19.92/6.82
% 19.92/6.82 Timing (in seconds)
% 19.92/6.82 ----------------------
% 19.92/6.82 Preprocessing : 1.21
% 19.92/6.82 Parsing : 0.58
% 19.92/6.82 CNF conversion : 0.10
% 19.92/6.82 Main loop : 4.55
% 19.92/6.82 Inferencing : 1.08
% 19.92/6.82 Reduction : 1.70
% 19.92/6.82 Demodulation : 1.34
% 19.92/6.82 BG Simplification : 0.18
% 19.92/6.82 Subsumption : 1.34
% 19.92/6.82 Abstraction : 0.13
% 19.92/6.82 MUC search : 0.00
% 19.92/6.82 Cooper : 0.00
% 19.92/6.82 Total : 5.82
% 19.92/6.82 Index Insertion : 0.00
% 19.92/6.82 Index Deletion : 0.00
% 19.92/6.82 Index Matching : 0.00
% 19.92/6.82 BG Taut test : 0.00
%------------------------------------------------------------------------------