TSTP Solution File: GEO270+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO270+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 : 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 10:38:57 EDT 2023
% Result : Theorem 131.20s 107.95s
% Output : CNFRefutation 131.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 84
% Syntax : Number of formulae : 108 ( 11 unt; 78 typ; 0 def)
% Number of atoms : 98 ( 58 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 109 ( 41 ~; 36 |; 22 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 287 ( 70 >; 217 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 64 ( 64 usr; 8 con; 0-18 aty)
% Number of variables : 39 (; 35 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1064 > vskolem1063 > vskolem1061 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1050 > vd1049 > vd1048 > vd1047 > v0 > #skF_29 > #skF_4 > #skF_47 > #skF_31 > #skF_17 > #skF_22 > #skF_30 > #skF_34 > #skF_26 > #skF_27 > #skF_6 > #skF_24 > #skF_10 > #skF_9 > #skF_48 > #skF_16 > #skF_18 > #skF_19 > #skF_44 > #skF_3 > #skF_45 > #skF_20 > #skF_25 > #skF_28 > #skF_32 > #skF_36 > #skF_13 > #skF_15 > #skF_5 > #skF_11 > #skF_12 > #skF_42 > #skF_8 > #skF_23 > #skF_46 > #skF_38 > #skF_2 > #skF_37 > #skF_41 > #skF_43 > #skF_7 > #skF_35 > #skF_40 > #skF_14 > #skF_1 > #skF_21 > #skF_33 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $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('#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_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $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(rline,type,
rline: $i > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $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_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1061,type,
vskolem1061: ( $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('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1063,type,
vskolem1063: ( $i * $i * $i * $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(vd1047,type,
vd1047: $i ).
tff(vd1048,type,
vd1048: $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i ) > $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_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i ) > $i ).
tff(rpoint,type,
rpoint: $i > $o ).
tff(vd1049,type,
vd1049: $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff(vd1050,type,
vd1050: $i ).
tff(rreal,type,
rreal: $i > $o ).
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(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vskolem1064,type,
vskolem1064: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $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('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_46,axiom,
( ( vd1049 = vd1050 )
& ( vd1047 != vd1049 )
& rpoint(vd1050)
& ( vd1047 = vd1048 )
& rpoint(vd1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(conjunct2(207),4),and(holds(conjunct2(207),1051,0),and(pred(conjunct2(207),1),and(pred(conjunct1(207),2),pred(conjunct1(207),1)))))) ).
tff(f_1081,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_84,axiom,
! [Vd1055,Vd1056,Vd1057,Vd1058] :
( ( ( Vd1057 = Vd1058 )
& ( Vd1055 != Vd1057 )
& rpoint(Vd1058)
& ( Vd1055 = Vd1056 )
& rpoint(Vd1056) )
=> ! [Vd1060] :
( ( Vd1060 = vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058) )
=> ! [Vd1062] :
( ( Vd1062 = vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058) )
=> ( vf(Vd1055,Vd1057) = vf(Vd1057,vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(proof(209),0),1)) ).
tff(f_65,axiom,
! [Vd1055,Vd1056,Vd1057,Vd1058] :
( ( ( Vd1057 = Vd1058 )
& ( Vd1055 != Vd1057 )
& rpoint(Vd1058)
& ( Vd1055 = Vd1056 )
& rpoint(Vd1056) )
=> ! [Vd1060] :
( ( Vd1060 = vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058) )
=> ! [Vd1062] :
( ( Vd1062 = vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058) )
=> ( vf(Vd1057,vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)) = vf(vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058),Vd1055) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(proof(209),0),0)) ).
tff(f_179,axiom,
! [Vd1055,Vd1056,Vd1057,Vd1058] :
( ( ( Vd1057 = Vd1058 )
& ( Vd1055 != Vd1057 )
& rpoint(Vd1058)
& ( Vd1055 = Vd1056 )
& rpoint(Vd1056) )
=> ! [Vd1060] :
( ( Vd1060 = vskolem1061(Vd1055,Vd1056,Vd1057,Vd1058) )
=> ! [Vd1062] :
( ( Vd1062 = vskolem1063(Vd1060,Vd1055,Vd1056,Vd1057,Vd1058) )
=> rpoint(vskolem1064(Vd1062,Vd1060,Vd1055,Vd1056,Vd1057,Vd1058)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(proof(209),0),6)) ).
tff(f_36,negated_conjecture,
~ ? [Vd1052] :
( ( vf(vd1049,Vd1052) = vf(Vd1052,vd1047) )
& ( vf(vd1047,vd1049) = vf(vd1049,Vd1052) )
& rpoint(Vd1052) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(208)) ).
tff(c_10,plain,
vd1049 != vd1047,
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_12,plain,
vd1050 = vd1049,
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_8,plain,
rpoint(vd1050),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_542,plain,
rpoint(vd1049),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8]) ).
tff(c_6,plain,
vd1048 = vd1047,
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_4,plain,
rpoint(vd1048),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_543,plain,
rpoint(vd1047),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_1060,plain,
! [Vd744_1126,Vd745_1127] :
( ( vf(Vd744_1126,Vd745_1127) = '#skF_7'(Vd744_1126,Vd745_1127) )
| ~ rpoint(Vd744_1126)
| ~ rpoint(Vd745_1127) ),
inference(cnfTransformation,[status(thm)],[f_1081]) ).
tff(c_1091,plain,
! [Vd745_1128] :
( ( vf(vd1047,Vd745_1128) = '#skF_7'(vd1047,Vd745_1128) )
| ~ rpoint(Vd745_1128) ),
inference(resolution,[status(thm)],[c_543,c_1060]) ).
tff(c_1131,plain,
vf(vd1047,vd1049) = '#skF_7'(vd1047,vd1049),
inference(resolution,[status(thm)],[c_542,c_1091]) ).
tff(c_16,plain,
! [Vd1058_15,Vd1056_13] :
( ( vf(Vd1058_15,vskolem1064(vskolem1063(vskolem1061(Vd1056_13,Vd1056_13,Vd1058_15,Vd1058_15),Vd1056_13,Vd1056_13,Vd1058_15,Vd1058_15),vskolem1061(Vd1056_13,Vd1056_13,Vd1058_15,Vd1058_15),Vd1056_13,Vd1056_13,Vd1058_15,Vd1058_15)) = vf(Vd1056_13,Vd1058_15) )
| ~ rpoint(Vd1056_13)
| ~ rpoint(Vd1058_15)
| ( Vd1058_15 = Vd1056_13 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_46407,plain,
! [Vd1056_3102,Vd1058_3103] :
( ( vf(vskolem1064(vskolem1063(vskolem1061(Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),vskolem1061(Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),Vd1056_3102) = vf(Vd1058_3103,vskolem1064(vskolem1063(vskolem1061(Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),vskolem1061(Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103),Vd1056_3102,Vd1056_3102,Vd1058_3103,Vd1058_3103)) )
| ~ rpoint(Vd1056_3102)
| ~ rpoint(Vd1058_3103)
| ( Vd1058_3103 = Vd1056_3102 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_24197,plain,
! [Vd1056_2445,Vd1058_2446] :
( rpoint(vskolem1064(vskolem1063(vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446))
| ~ rpoint(Vd1056_2445)
| ~ rpoint(Vd1058_2446)
| ( Vd1058_2446 = Vd1056_2445 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_2,plain,
! [Vd1052_1] :
( ~ rpoint(Vd1052_1)
| ( vf(vd1049,Vd1052_1) != vf(vd1047,vd1049) )
| ( vf(vd1049,Vd1052_1) != vf(Vd1052_1,vd1047) ) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_1146,plain,
! [Vd1052_1] :
( ~ rpoint(Vd1052_1)
| ( vf(vd1049,Vd1052_1) != '#skF_7'(vd1047,vd1049) )
| ( vf(vd1049,Vd1052_1) != vf(Vd1052_1,vd1047) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1131,c_2]) ).
tff(c_24389,plain,
! [Vd1056_2445,Vd1058_2446] :
( ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446)) != '#skF_7'(vd1047,vd1049) )
| ( vf(vskolem1064(vskolem1063(vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),vd1047) != vf(vd1049,vskolem1064(vskolem1063(vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),vskolem1061(Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446),Vd1056_2445,Vd1056_2445,Vd1058_2446,Vd1058_2446)) )
| ~ rpoint(Vd1056_2445)
| ~ rpoint(Vd1058_2446)
| ( Vd1058_2446 = Vd1056_2445 ) ),
inference(resolution,[status(thm)],[c_24197,c_1146]) ).
tff(c_46431,plain,
! [Vd1058_3103] :
( ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) != '#skF_7'(vd1047,vd1049) )
| ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) != vf(Vd1058_3103,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) )
| ~ rpoint(vd1047)
| ~ rpoint(Vd1058_3103)
| ( vd1047 = Vd1058_3103 )
| ~ rpoint(vd1047)
| ~ rpoint(Vd1058_3103)
| ( vd1047 = Vd1058_3103 ) ),
inference(superposition,[status(thm),theory(equality)],[c_46407,c_24389]) ).
tff(c_46601,plain,
! [Vd1058_3103] :
( ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) != '#skF_7'(vd1047,vd1049) )
| ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) != vf(Vd1058_3103,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103),vskolem1061(vd1047,vd1047,Vd1058_3103,Vd1058_3103),vd1047,vd1047,Vd1058_3103,Vd1058_3103)) )
| ~ rpoint(Vd1058_3103)
| ( vd1047 = Vd1058_3103 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_543,c_543,c_46431]) ).
tff(c_46637,plain,
( ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) != '#skF_7'(vd1047,vd1049) )
| ~ rpoint(vd1049)
| ( vd1049 = vd1047 ) ),
inference(reflexivity,[status(thm),theory(equality)],[c_46601]) ).
tff(c_46639,plain,
( ( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) != '#skF_7'(vd1047,vd1049) )
| ( vd1049 = vd1047 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_542,c_46637]) ).
tff(c_46640,plain,
vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) != '#skF_7'(vd1047,vd1049),
inference(negUnitSimplification,[status(thm)],[c_10,c_46639]) ).
tff(c_169343,plain,
( ( vf(vd1047,vd1049) != '#skF_7'(vd1047,vd1049) )
| ~ rpoint(vd1047)
| ~ rpoint(vd1049)
| ( vd1049 = vd1047 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_46640]) ).
tff(c_169348,plain,
vd1049 = vd1047,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_543,c_1131,c_169343]) ).
tff(c_169350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_169348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO270+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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:29:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 131.20/107.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 131.20/107.96
% 131.20/107.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 131.28/107.99
% 131.28/107.99 Inference rules
% 131.28/107.99 ----------------------
% 131.28/107.99 #Ref : 3
% 131.28/107.99 #Sup : 39486
% 131.28/107.99 #Fact : 20
% 131.28/107.99 #Define : 0
% 131.28/107.99 #Split : 30
% 131.28/107.99 #Chain : 0
% 131.28/107.99 #Close : 0
% 131.28/107.99
% 131.28/107.99 Ordering : KBO
% 131.28/107.99
% 131.28/107.99 Simplification rules
% 131.28/107.99 ----------------------
% 131.28/107.99 #Subsume : 7441
% 131.28/107.99 #Demod : 24887
% 131.28/107.99 #Tautology : 7384
% 131.28/107.99 #SimpNegUnit : 2084
% 131.28/107.99 #BackRed : 719
% 131.28/107.99
% 131.28/107.99 #Partial instantiations: 0
% 131.28/107.99 #Strategies tried : 1
% 131.28/107.99
% 131.28/107.99 Timing (in seconds)
% 131.28/107.99 ----------------------
% 131.28/107.99 Preprocessing : 1.24
% 131.28/107.99 Parsing : 0.58
% 131.28/107.99 CNF conversion : 0.11
% 131.28/107.99 Main loop : 105.62
% 131.28/107.99 Inferencing : 28.85
% 131.28/107.99 Reduction : 29.83
% 131.28/107.99 Demodulation : 23.88
% 131.28/107.99 BG Simplification : 0.79
% 131.28/107.99 Subsumption : 38.73
% 131.28/107.99 Abstraction : 1.30
% 131.28/107.99 MUC search : 0.00
% 131.28/107.99 Cooper : 0.00
% 131.28/107.99 Total : 106.91
% 131.28/107.99 Index Insertion : 0.00
% 131.28/107.99 Index Deletion : 0.00
% 131.28/107.99 Index Matching : 0.00
% 131.28/107.99 BG Taut test : 0.00
%------------------------------------------------------------------------------