TSTP Solution File: GEO273+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO273+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 : n020.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 63.65s 43.59s
% Output : CNFRefutation 63.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 97
% Syntax : Number of formulae : 132 ( 24 unt; 85 typ; 0 def)
% Number of atoms : 137 ( 85 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 143 ( 53 ~; 52 |; 24 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 316 ( 75 >; 241 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 71 ( 71 usr; 10 con; 0-18 aty)
% Number of variables : 56 (; 44 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1103 > vskolem1102 > vskolem1099 > vskolem1096 > vskolem1095 > vskolem1092 > vskolem1089 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1075 > vd1074 > vd1070 > vd1069 > v0 > #skF_29 > #skF_4 > #skF_47 > #skF_49 > #skF_31 > #skF_17 > #skF_22 > #skF_30 > #skF_34 > #skF_3 > #skF_26 > #skF_27 > #skF_24 > #skF_10 > #skF_48 > #skF_18 > #skF_19 > #skF_44 > #skF_12 > #skF_45 > #skF_20 > #skF_25 > #skF_28 > #skF_32 > #skF_36 > #skF_13 > #skF_2 > #skF_5 > #skF_1 > #skF_11 > #skF_42 > #skF_8 > #skF_6 > #skF_23 > #skF_46 > #skF_50 > #skF_9 > #skF_14 > #skF_38 > #skF_21 > #skF_37 > #skF_41 > #skF_43 > #skF_7 > #skF_35 > #skF_40 > #skF_16 > #skF_15 > #skF_33 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff(vd1074,type,
vd1074: $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_49',type,
'#skF_49': ( $i * $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(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $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_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1095,type,
vskolem1095: ( $i * $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_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $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_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff(vskolem1103,type,
vskolem1103: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1096,type,
vskolem1096: ( $i * $i * $i * $i * $i * $i ) > $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(vskolem1099,type,
vskolem1099: ( $i * $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_2',type,
'#skF_2': $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(vskolem1089,type,
vskolem1089: ( $i * $i * $i * $i ) > $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_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff(vd1075,type,
vd1075: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(vskolem1102,type,
vskolem1102: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
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(vd1070,type,
vd1070: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $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_38',type,
'#skF_38': ( $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(vd1069,type,
vd1069: $i ).
tff(vskolem1092,type,
vskolem1092: ( $i * $i * $i * $i ) > $i ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
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_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $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,
? [Vd1073] :
( ( vd1070 = Vd1073 )
& rpoint(Vd1073) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s2(plural(220)))) ).
tff(f_50,axiom,
? [Vd1072] :
( ( vd1069 = Vd1072 )
& rpoint(Vd1072) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(s1(plural(220)))) ).
tff(f_42,axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(220,5)) ).
tff(f_37,axiom,
vd1074 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct2(221),1077,0)) ).
tff(f_39,axiom,
vd1074 != vd1069,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct1(221),1076,0)) ).
tff(f_3573,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_899,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_35,axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(221,4)) ).
tff(f_40,axiom,
rpoint(vd1075),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(221,1)) ).
tff(f_88,axiom,
! [Vd1080,Vd1081] :
( ( ( Vd1080 != Vd1081 )
& ? [Vd1084] :
( ( Vd1081 = Vd1084 )
& rpoint(Vd1084) )
& ? [Vd1083] :
( ( Vd1080 = Vd1083 )
& rpoint(Vd1083) ) )
=> ! [Vd1085,Vd1086] :
( ( ( Vd1085 = Vd1086 )
& ( Vd1085 != Vd1081 )
& ( Vd1085 != Vd1080 )
& rpoint(Vd1086) )
=> ! [Vd1091] :
( ( Vd1091 = vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1094] :
( ( Vd1094 = vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1098] :
( ( Vd1098 = vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1101] :
( ( Vd1101 = vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> ( vf(Vd1080,Vd1081) = vf(Vd1085,vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(proof(223),0),0)) ).
tff(f_354,axiom,
! [Vd1080,Vd1081] :
( ( ( Vd1080 != Vd1081 )
& ? [Vd1084] :
( ( Vd1081 = Vd1084 )
& rpoint(Vd1084) )
& ? [Vd1083] :
( ( Vd1080 = Vd1083 )
& rpoint(Vd1083) ) )
=> ! [Vd1085,Vd1086] :
( ( ( Vd1085 = Vd1086 )
& ( Vd1085 != Vd1081 )
& ( Vd1085 != Vd1080 )
& rpoint(Vd1086) )
=> ! [Vd1091] :
( ( Vd1091 = vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1094] :
( ( Vd1094 = vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1098] :
( ( Vd1098 = vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> ! [Vd1101] :
( ( Vd1101 = vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
=> rpoint(vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(proof(223),0),7)) ).
tff(f_34,negated_conjecture,
~ ? [Vd1078] :
( ( vf(vd1069,vd1070) = vf(vd1074,Vd1078) )
& rpoint(Vd1078) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(222)) ).
tff(c_16,plain,
vd1070 = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_20,plain,
vd1069 = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_12,plain,
vd1070 != vd1069,
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_586,plain,
'#skF_2' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_12]) ).
tff(c_6,plain,
vd1074 != vd1070,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_588,plain,
vd1074 != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16,c_6]) ).
tff(c_8,plain,
vd1074 != vd1069,
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_587,plain,
vd1074 != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20,c_8]) ).
tff(c_14,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_18,plain,
rpoint('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_986,plain,
! [Vd744_1922,Vd745_1923] :
( ( vf(Vd744_1922,Vd745_1923) = '#skF_50'(Vd744_1922,Vd745_1923) )
| ~ rpoint(Vd744_1922)
| ~ rpoint(Vd745_1923) ),
inference(cnfTransformation,[status(thm)],[f_3573]) ).
tff(c_1369,plain,
! [Vd745_1942] :
( ( vf('#skF_2',Vd745_1942) = '#skF_50'('#skF_2',Vd745_1942) )
| ~ rpoint(Vd745_1942) ),
inference(resolution,[status(thm)],[c_18,c_986]) ).
tff(c_1411,plain,
vf('#skF_2','#skF_1') = '#skF_50'('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_14,c_1369]) ).
tff(c_1090,plain,
! [Vd745_1926] :
( ( vf('#skF_1',Vd745_1926) = '#skF_50'('#skF_1',Vd745_1926) )
| ~ rpoint(Vd745_1926) ),
inference(resolution,[status(thm)],[c_14,c_986]) ).
tff(c_1134,plain,
vf('#skF_1','#skF_2') = '#skF_50'('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_18,c_1090]) ).
tff(c_1489,plain,
! [Vd765_1945,Vd764_1946] :
( ( vf(Vd765_1945,Vd764_1946) = vf(Vd764_1946,Vd765_1945) )
| ~ rpoint(Vd764_1946)
| ~ rpoint(Vd765_1945) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_1707,plain,
! [Vd765_1958] :
( ( vf(Vd765_1958,'#skF_2') = vf('#skF_2',Vd765_1958) )
| ~ rpoint(Vd765_1958) ),
inference(resolution,[status(thm)],[c_18,c_1489]) ).
tff(c_1737,plain,
vf('#skF_2','#skF_1') = vf('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_14,c_1707]) ).
tff(c_1755,plain,
'#skF_50'('#skF_2','#skF_1') = '#skF_50'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1411,c_1134,c_1737]) ).
tff(c_1793,plain,
vf('#skF_2','#skF_1') = '#skF_50'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1755,c_1411]) ).
tff(c_4,plain,
vd1075 = vd1074,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_10,plain,
rpoint(vd1075),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_589,plain,
rpoint(vd1074),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10]) ).
tff(c_66171,plain,
! [Vd1086_4886,Vd1083_4887,Vd1084_4888] :
( ( vf(Vd1086_4886,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1095(vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1099(vskolem1095(vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1095(vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),vskolem1092(Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888),Vd1086_4886,Vd1086_4886,Vd1083_4887,Vd1084_4888)) = vf(Vd1083_4887,Vd1084_4888) )
| ~ rpoint(Vd1086_4886)
| ( Vd1086_4886 = Vd1083_4887 )
| ( Vd1086_4886 = Vd1084_4888 )
| ~ rpoint(Vd1083_4887)
| ~ rpoint(Vd1084_4888)
| ( Vd1084_4888 = Vd1083_4887 ) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_63784,plain,
! [Vd1086_4826,Vd1083_4827,Vd1084_4828] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1099(vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828))
| ~ rpoint(Vd1086_4826)
| ( Vd1086_4826 = Vd1083_4827 )
| ( Vd1086_4826 = Vd1084_4828 )
| ~ rpoint(Vd1083_4827)
| ~ rpoint(Vd1084_4828)
| ( Vd1084_4828 = Vd1083_4827 ) ),
inference(cnfTransformation,[status(thm)],[f_354]) ).
tff(c_2,plain,
! [Vd1078_1] :
( ~ rpoint(Vd1078_1)
| ( vf(vd1074,Vd1078_1) != vf(vd1069,vd1070) ) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_590,plain,
! [Vd1078_1] :
( ~ rpoint(Vd1078_1)
| ( vf(vd1074,Vd1078_1) != vf('#skF_2','#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_2]) ).
tff(c_1534,plain,
! [Vd1078_1] :
( ~ rpoint(Vd1078_1)
| ( vf(vd1074,Vd1078_1) != '#skF_50'('#skF_2','#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1411,c_590]) ).
tff(c_1791,plain,
! [Vd1078_1] :
( ~ rpoint(Vd1078_1)
| ( vf(vd1074,Vd1078_1) != '#skF_50'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1755,c_1534]) ).
tff(c_64127,plain,
! [Vd1086_4826,Vd1083_4827,Vd1084_4828] :
( ( vf(vd1074,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1099(vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1095(vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),vskolem1092(Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828),Vd1086_4826,Vd1086_4826,Vd1083_4827,Vd1084_4828)) != '#skF_50'('#skF_1','#skF_2') )
| ~ rpoint(Vd1086_4826)
| ( Vd1086_4826 = Vd1083_4827 )
| ( Vd1086_4826 = Vd1084_4828 )
| ~ rpoint(Vd1083_4827)
| ~ rpoint(Vd1084_4828)
| ( Vd1084_4828 = Vd1083_4827 ) ),
inference(resolution,[status(thm)],[c_63784,c_1791]) ).
tff(c_66178,plain,
! [Vd1083_4887,Vd1084_4888] :
( ( vf(Vd1083_4887,Vd1084_4888) != '#skF_50'('#skF_1','#skF_2') )
| ~ rpoint(vd1074)
| ( vd1074 = Vd1083_4887 )
| ( vd1074 = Vd1084_4888 )
| ~ rpoint(Vd1083_4887)
| ~ rpoint(Vd1084_4888)
| ( Vd1084_4888 = Vd1083_4887 )
| ~ rpoint(vd1074)
| ( vd1074 = Vd1083_4887 )
| ( vd1074 = Vd1084_4888 )
| ~ rpoint(Vd1083_4887)
| ~ rpoint(Vd1084_4888)
| ( Vd1084_4888 = Vd1083_4887 ) ),
inference(superposition,[status(thm),theory(equality)],[c_66171,c_64127]) ).
tff(c_66300,plain,
! [Vd1083_4892,Vd1084_4893] :
( ( vf(Vd1083_4892,Vd1084_4893) != '#skF_50'('#skF_1','#skF_2') )
| ( vd1074 = Vd1083_4892 )
| ( vd1074 = Vd1084_4893 )
| ~ rpoint(Vd1083_4892)
| ~ rpoint(Vd1084_4893)
| ( Vd1084_4893 = Vd1083_4892 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_589,c_589,c_66178]) ).
tff(c_66564,plain,
( ( vd1074 = '#skF_2' )
| ( vd1074 = '#skF_1' )
| ~ rpoint('#skF_2')
| ~ rpoint('#skF_1')
| ( '#skF_2' = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_1793,c_66300]) ).
tff(c_66844,plain,
( ( vd1074 = '#skF_2' )
| ( vd1074 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_18,c_66564]) ).
tff(c_66846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_586,c_588,c_587,c_66844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO273+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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 4 00:12:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 63.65/43.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.65/43.60
% 63.65/43.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.78/43.63
% 63.78/43.63 Inference rules
% 63.78/43.63 ----------------------
% 63.78/43.63 #Ref : 2
% 63.78/43.63 #Sup : 15446
% 63.78/43.63 #Fact : 8
% 63.78/43.63 #Define : 0
% 63.78/43.63 #Split : 14
% 63.78/43.63 #Chain : 0
% 63.78/43.63 #Close : 0
% 63.78/43.63
% 63.78/43.64 Ordering : KBO
% 63.78/43.64
% 63.78/43.64 Simplification rules
% 63.78/43.64 ----------------------
% 63.78/43.64 #Subsume : 2207
% 63.78/43.64 #Demod : 14314
% 63.78/43.64 #Tautology : 4055
% 63.78/43.64 #SimpNegUnit : 911
% 63.78/43.64 #BackRed : 1689
% 63.78/43.64
% 63.78/43.64 #Partial instantiations: 0
% 63.78/43.64 #Strategies tried : 1
% 63.78/43.64
% 63.78/43.64 Timing (in seconds)
% 63.78/43.64 ----------------------
% 63.81/43.64 Preprocessing : 1.43
% 63.81/43.64 Parsing : 0.69
% 63.81/43.64 CNF conversion : 0.15
% 63.81/43.64 Main loop : 41.10
% 63.81/43.64 Inferencing : 8.78
% 63.81/43.64 Reduction : 14.21
% 63.81/43.64 Demodulation : 11.87
% 63.81/43.64 BG Simplification : 0.40
% 63.81/43.64 Subsumption : 15.81
% 63.81/43.64 Abstraction : 0.65
% 63.81/43.64 MUC search : 0.00
% 63.81/43.64 Cooper : 0.00
% 63.81/43.64 Total : 42.60
% 63.81/43.64 Index Insertion : 0.00
% 63.81/43.64 Index Deletion : 0.00
% 63.81/43.64 Index Matching : 0.00
% 63.81/43.64 BG Taut test : 0.00
%------------------------------------------------------------------------------