TSTP Solution File: GEO340+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO340+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 : n016.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 10:39:04 EDT 2023
% Result : Theorem 258.63s 229.33s
% Output : CNFRefutation 258.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 93
% Syntax : Number of formulae : 165 ( 55 unt; 88 typ; 0 def)
% Number of atoms : 193 ( 118 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 192 ( 76 ~; 72 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 319 ( 75 >; 244 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 74 ( 74 usr; 13 con; 0-18 aty)
% Number of variables : 48 (; 36 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1120 > vskolem1419 > vskolem1416 > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1392 > vd1391 > vd1386 > vd1385 > vd1384 > v0 > #skF_33 > #skF_47 > #skF_49 > #skF_44 > #skF_30 > #skF_39 > #skF_45 > #skF_27 > #skF_53 > #skF_20 > #skF_36 > #skF_31 > #skF_13 > #skF_34 > #skF_14 > #skF_52 > #skF_18 > #skF_25 > #skF_32 > #skF_10 > #skF_19 > #skF_11 > #skF_41 > #skF_54 > #skF_2 > #skF_15 > #skF_3 > #skF_1 > #skF_7 > #skF_8 > #skF_51 > #skF_26 > #skF_29 > #skF_43 > #skF_46 > #skF_28 > #skF_50 > #skF_5 > #skF_17 > #skF_4 > #skF_55 > #skF_38 > #skF_12 > #skF_21 > #skF_24 > #skF_37 > #skF_42 > #skF_35 > #skF_6 > #skF_48 > #skF_40 > #skF_16 > #skF_9 > #skF_22 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $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(vskolem1120,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $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(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1386,type,
vd1386: $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff(vskolem1419,type,
vskolem1419: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $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_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(vd1385,type,
vd1385: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(vd1391,type,
vd1391: $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(vd1384,type,
vd1384: $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $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('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff(vd1392,type,
vd1392: $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $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_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i ) > $i ).
tff(vskolem1416,type,
vskolem1416: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $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('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $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_6',type,
'#skF_6': ( $i * $i * $i * $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_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $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_73,axiom,
( ( vd1391 = vd1392 )
& ron(vd1385,vd1391)
& ron(vd1384,vd1391)
& rline(vd1392)
& ( vd1385 != vd1386 )
& ( vd1384 != vd1386 )
& ( vd1384 != vd1385 )
& ? [Vd1390] :
( ( vd1386 = Vd1390 )
& rpoint(Vd1390) )
& ? [Vd1389] :
( ( vd1385 = Vd1389 )
& rpoint(Vd1389) )
& ? [Vd1388] :
( ( vd1384 = Vd1388 )
& rpoint(Vd1388) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(pred(conjunct2(402),5),and(pred(s2(plural(conjunct2(402))),0),and(pred(s1(plural(conjunct2(402))),0),and(pred(conjunct2(402),1),and(pred(conjunct1(402),9),and(pred(conjunct1(402),8),and(pred(conjunct1(402),7),and(qe(s3(plural(402))),and(qe(s2(plural(402))),qe(s1(plural(402))))))))))))) ).
tff(f_1068,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_42,negated_conjecture,
~ ~ ? [Vd1394] :
( ( Vd1394 != vd1386 )
& ( vf(vd1385,vd1386) = vf(vd1385,Vd1394) )
& ( vf(vd1384,vd1386) = vf(vd1384,Vd1394) )
& rS(vd1386,Vd1394,vd1391)
& rpoint(Vd1394) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg(neg(403))) ).
tff(f_1039,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_124,axiom,
! [Vd1399,Vd1400,Vd1401,Vd1406,Vd1407] :
( ( ( Vd1406 = Vd1407 )
& ron(Vd1400,Vd1406)
& ron(Vd1399,Vd1406)
& rline(Vd1407)
& ( Vd1400 != Vd1401 )
& ( Vd1399 != Vd1401 )
& ( Vd1399 != Vd1400 )
& ? [Vd1405] :
( ( Vd1401 = Vd1405 )
& rpoint(Vd1405) )
& ? [Vd1404] :
( ( Vd1400 = Vd1404 )
& rpoint(Vd1404) )
& ? [Vd1403] :
( ( Vd1399 = Vd1403 )
& rpoint(Vd1403) ) )
=> ! [Vd1409] :
( ( ( Vd1409 != Vd1401 )
& ( vf(Vd1400,Vd1401) = vf(Vd1400,Vd1409) )
& ( vf(Vd1399,Vd1401) = vf(Vd1399,Vd1409) )
& rS(Vd1401,Vd1409,Vd1406)
& rpoint(Vd1409) )
=> ! [Vd1415] :
( ( Vd1415 = vskolem1416(Vd1409,Vd1399,Vd1400,Vd1401,Vd1406,Vd1407) )
=> ! [Vd1418] : ( Vd1418 != vskolem1419(Vd1415,Vd1409,Vd1399,Vd1400,Vd1401,Vd1406,Vd1407) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(proof(404),0),0)) ).
tff(c_18,plain,
vd1385 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_22,plain,
vd1386 = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_28,plain,
vd1386 != vd1385,
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_601,plain,
vd1385 != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_22,c_28]) ).
tff(c_605,plain,
'#skF_3' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_18,c_601]) ).
tff(c_14,plain,
vd1384 = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_24,plain,
vd1385 != vd1384,
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_603,plain,
vd1384 != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18,c_24]) ).
tff(c_608,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14,c_603]) ).
tff(c_16,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_20,plain,
rpoint('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1063,plain,
! [Vd744_1263,Vd745_1264] :
( ( vf(Vd744_1263,Vd745_1264) = '#skF_9'(Vd744_1263,Vd745_1264) )
| ~ rpoint(Vd744_1263)
| ~ rpoint(Vd745_1264) ),
inference(cnfTransformation,[status(thm)],[f_1068]) ).
tff(c_2543,plain,
! [Vd745_1316] :
( ( vf('#skF_4',Vd745_1316) = '#skF_9'('#skF_4',Vd745_1316) )
| ~ rpoint(Vd745_1316) ),
inference(resolution,[status(thm)],[c_20,c_1063]) ).
tff(c_2593,plain,
vf('#skF_4','#skF_3') = '#skF_9'('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_16,c_2543]) ).
tff(c_2,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1105,plain,
! [Vd745_1265] :
( ( vf('#skF_1',Vd745_1265) = '#skF_9'('#skF_1',Vd745_1265) )
| ~ rpoint(Vd745_1265) ),
inference(resolution,[status(thm)],[c_2,c_1063]) ).
tff(c_1150,plain,
vf('#skF_1','#skF_3') = '#skF_9'('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_16,c_1105]) ).
tff(c_1653,plain,
! [Vd765_1286,Vd764_1287] :
( ( vf(Vd765_1286,Vd764_1287) = vf(Vd764_1287,Vd765_1286) )
| ~ rpoint(Vd764_1287)
| ~ rpoint(Vd765_1286) ),
inference(cnfTransformation,[status(thm)],[f_1039]) ).
tff(c_1716,plain,
! [Vd765_1288] :
( ( vf(Vd765_1288,'#skF_1') = vf('#skF_1',Vd765_1288) )
| ~ rpoint(Vd765_1288) ),
inference(resolution,[status(thm)],[c_2,c_1653]) ).
tff(c_1743,plain,
vf('#skF_3','#skF_1') = vf('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_16,c_1716]) ).
tff(c_1763,plain,
vf('#skF_3','#skF_1') = '#skF_9'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_1150,c_1743]) ).
tff(c_8,plain,
vf(vd1385,vd1386) = vf(vd1385,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_610,plain,
vf('#skF_3','#skF_1') = vf('#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_18,c_22,c_8]) ).
tff(c_1875,plain,
vf('#skF_3','#skF_4') = '#skF_9'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_1763,c_610]) ).
tff(c_2106,plain,
! [Vd765_1302] :
( ( vf(Vd765_1302,'#skF_3') = vf('#skF_3',Vd765_1302) )
| ~ rpoint(Vd765_1302) ),
inference(resolution,[status(thm)],[c_16,c_1653]) ).
tff(c_2130,plain,
vf('#skF_3','#skF_4') = vf('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_20,c_2106]) ).
tff(c_2151,plain,
vf('#skF_4','#skF_3') = '#skF_9'('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_1875,c_2130]) ).
tff(c_2729,plain,
'#skF_9'('#skF_1','#skF_3') = '#skF_9'('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2593,c_2151]) ).
tff(c_2789,plain,
vf('#skF_3','#skF_4') = '#skF_9'('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2729,c_1875]) ).
tff(c_2790,plain,
vf('#skF_3','#skF_1') = '#skF_9'('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2729,c_1763]) ).
tff(c_34,plain,
ron(vd1385,vd1391),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_604,plain,
ron('#skF_3',vd1391),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_34]) ).
tff(c_26,plain,
vd1386 != vd1384,
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_602,plain,
vd1384 != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_22,c_26]) ).
tff(c_607,plain,
'#skF_2' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_14,c_602]) ).
tff(c_12,plain,
rpoint('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2594,plain,
vf('#skF_4','#skF_2') = '#skF_9'('#skF_4','#skF_2'),
inference(resolution,[status(thm)],[c_12,c_2543]) ).
tff(c_1397,plain,
! [Vd745_1276] :
( ( vf('#skF_2',Vd745_1276) = '#skF_9'('#skF_2',Vd745_1276) )
| ~ rpoint(Vd745_1276) ),
inference(resolution,[status(thm)],[c_12,c_1063]) ).
tff(c_1441,plain,
vf('#skF_2','#skF_4') = '#skF_9'('#skF_2','#skF_4'),
inference(resolution,[status(thm)],[c_20,c_1397]) ).
tff(c_6,plain,
vf(vd1384,vd1386) = vf(vd1384,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_611,plain,
vf('#skF_2','#skF_1') = vf('#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_22,c_6]) ).
tff(c_1459,plain,
vf('#skF_2','#skF_1') = '#skF_9'('#skF_2','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_1441,c_611]) ).
tff(c_1151,plain,
vf('#skF_1','#skF_2') = '#skF_9'('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_12,c_1105]) ).
tff(c_1746,plain,
vf('#skF_2','#skF_1') = vf('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_12,c_1716]) ).
tff(c_1765,plain,
'#skF_9'('#skF_2','#skF_4') = '#skF_9'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1459,c_1151,c_1746]) ).
tff(c_1852,plain,
vf('#skF_2','#skF_4') = '#skF_9'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1765,c_1441]) ).
tff(c_2471,plain,
! [Vd765_1315] :
( ( vf(Vd765_1315,'#skF_4') = vf('#skF_4',Vd765_1315) )
| ~ rpoint(Vd765_1315) ),
inference(resolution,[status(thm)],[c_20,c_1653]) ).
tff(c_2504,plain,
vf('#skF_2','#skF_4') = vf('#skF_4','#skF_2'),
inference(resolution,[status(thm)],[c_12,c_2471]) ).
tff(c_2524,plain,
vf('#skF_4','#skF_2') = '#skF_9'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1852,c_2504]) ).
tff(c_2821,plain,
'#skF_9'('#skF_1','#skF_2') = '#skF_9'('#skF_4','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2594,c_2524]) ).
tff(c_2881,plain,
vf('#skF_2','#skF_4') = '#skF_9'('#skF_4','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2821,c_1852]) ).
tff(c_1849,plain,
vf('#skF_2','#skF_1') = '#skF_9'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1765,c_1459]) ).
tff(c_2882,plain,
vf('#skF_2','#skF_1') = '#skF_9'('#skF_4','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2821,c_1849]) ).
tff(c_32,plain,
ron(vd1384,vd1391),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_606,plain,
ron('#skF_2',vd1391),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_32]) ).
tff(c_10,plain,
vd1386 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_609,plain,
'#skF_1' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_22,c_10]) ).
tff(c_36,plain,
vd1392 = vd1391,
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_30,plain,
rline(vd1392),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_600,plain,
rline(vd1391),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_30]) ).
tff(c_4,plain,
rS(vd1386,'#skF_1',vd1391),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_612,plain,
rS('#skF_4','#skF_1',vd1391),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_4]) ).
tff(c_55597,plain,
! [Vd1407_2880,Vd1403_2878,Vd1404_2881,Vd1405_2879,Vd1409_2882] :
( ~ rpoint(Vd1409_2882)
| ~ rS(Vd1405_2879,Vd1409_2882,Vd1407_2880)
| ( vf(Vd1403_2878,Vd1409_2882) != vf(Vd1403_2878,Vd1405_2879) )
| ( vf(Vd1404_2881,Vd1409_2882) != vf(Vd1404_2881,Vd1405_2879) )
| ( Vd1409_2882 = Vd1405_2879 )
| ~ rpoint(Vd1403_2878)
| ~ rpoint(Vd1404_2881)
| ~ rpoint(Vd1405_2879)
| ( Vd1404_2881 = Vd1403_2878 )
| ( Vd1405_2879 = Vd1403_2878 )
| ( Vd1405_2879 = Vd1404_2881 )
| ~ rline(Vd1407_2880)
| ~ ron(Vd1403_2878,Vd1407_2880)
| ~ ron(Vd1404_2881,Vd1407_2880) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_55639,plain,
! [Vd1403_2878,Vd1404_2881] :
( ~ rpoint('#skF_1')
| ( vf(Vd1403_2878,'#skF_1') != vf(Vd1403_2878,'#skF_4') )
| ( vf(Vd1404_2881,'#skF_1') != vf(Vd1404_2881,'#skF_4') )
| ( '#skF_1' = '#skF_4' )
| ~ rpoint(Vd1403_2878)
| ~ rpoint(Vd1404_2881)
| ~ rpoint('#skF_4')
| ( Vd1404_2881 = Vd1403_2878 )
| ( Vd1403_2878 = '#skF_4' )
| ( Vd1404_2881 = '#skF_4' )
| ~ rline(vd1391)
| ~ ron(Vd1403_2878,vd1391)
| ~ ron(Vd1404_2881,vd1391) ),
inference(resolution,[status(thm)],[c_612,c_55597]) ).
tff(c_55682,plain,
! [Vd1403_2878,Vd1404_2881] :
( ( vf(Vd1403_2878,'#skF_1') != vf(Vd1403_2878,'#skF_4') )
| ( vf(Vd1404_2881,'#skF_1') != vf(Vd1404_2881,'#skF_4') )
| ( '#skF_1' = '#skF_4' )
| ~ rpoint(Vd1403_2878)
| ~ rpoint(Vd1404_2881)
| ( Vd1404_2881 = Vd1403_2878 )
| ( Vd1403_2878 = '#skF_4' )
| ( Vd1404_2881 = '#skF_4' )
| ~ ron(Vd1403_2878,vd1391)
| ~ ron(Vd1404_2881,vd1391) ),
inference(demodulation,[status(thm),theory(equality)],[c_600,c_20,c_2,c_55639]) ).
tff(c_214100,plain,
! [Vd1403_6052,Vd1404_6053] :
( ( vf(Vd1403_6052,'#skF_1') != vf(Vd1403_6052,'#skF_4') )
| ( vf(Vd1404_6053,'#skF_1') != vf(Vd1404_6053,'#skF_4') )
| ~ rpoint(Vd1403_6052)
| ~ rpoint(Vd1404_6053)
| ( Vd1404_6053 = Vd1403_6052 )
| ( Vd1403_6052 = '#skF_4' )
| ( Vd1404_6053 = '#skF_4' )
| ~ ron(Vd1403_6052,vd1391)
| ~ ron(Vd1404_6053,vd1391) ),
inference(negUnitSimplification,[status(thm)],[c_609,c_55682]) ).
tff(c_214198,plain,
! [Vd1404_6053] :
( ( vf('#skF_2','#skF_1') != vf('#skF_2','#skF_4') )
| ( vf(Vd1404_6053,'#skF_1') != vf(Vd1404_6053,'#skF_4') )
| ~ rpoint('#skF_2')
| ~ rpoint(Vd1404_6053)
| ( Vd1404_6053 = '#skF_2' )
| ( '#skF_2' = '#skF_4' )
| ( Vd1404_6053 = '#skF_4' )
| ~ ron(Vd1404_6053,vd1391) ),
inference(resolution,[status(thm)],[c_606,c_214100]) ).
tff(c_214262,plain,
! [Vd1404_6053] :
( ( vf(Vd1404_6053,'#skF_1') != vf(Vd1404_6053,'#skF_4') )
| ~ rpoint(Vd1404_6053)
| ( Vd1404_6053 = '#skF_2' )
| ( '#skF_2' = '#skF_4' )
| ( Vd1404_6053 = '#skF_4' )
| ~ ron(Vd1404_6053,vd1391) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_2881,c_2882,c_214198]) ).
tff(c_230535,plain,
! [Vd1404_6307] :
( ( vf(Vd1404_6307,'#skF_1') != vf(Vd1404_6307,'#skF_4') )
| ~ rpoint(Vd1404_6307)
| ( Vd1404_6307 = '#skF_2' )
| ( Vd1404_6307 = '#skF_4' )
| ~ ron(Vd1404_6307,vd1391) ),
inference(negUnitSimplification,[status(thm)],[c_607,c_214262]) ).
tff(c_230664,plain,
( ( vf('#skF_3','#skF_1') != vf('#skF_3','#skF_4') )
| ~ rpoint('#skF_3')
| ( '#skF_2' = '#skF_3' )
| ( '#skF_3' = '#skF_4' ) ),
inference(resolution,[status(thm)],[c_604,c_230535]) ).
tff(c_230727,plain,
( ( '#skF_2' = '#skF_3' )
| ( '#skF_3' = '#skF_4' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2789,c_2790,c_230664]) ).
tff(c_230729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_605,c_608,c_230727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO340+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
% 0.13/0.35 % Computer : n016.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 01:15:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 258.63/229.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 258.63/229.34
% 258.63/229.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 258.63/229.38
% 258.63/229.38 Inference rules
% 258.63/229.38 ----------------------
% 258.63/229.38 #Ref : 2
% 258.63/229.38 #Sup : 52138
% 258.63/229.38 #Fact : 26
% 258.63/229.38 #Define : 0
% 258.63/229.38 #Split : 52
% 258.63/229.38 #Chain : 0
% 258.63/229.38 #Close : 0
% 258.63/229.38
% 258.63/229.38 Ordering : KBO
% 258.63/229.38
% 258.63/229.38 Simplification rules
% 258.63/229.38 ----------------------
% 258.63/229.38 #Subsume : 6024
% 258.63/229.38 #Demod : 48262
% 258.63/229.38 #Tautology : 12606
% 258.63/229.38 #SimpNegUnit : 5092
% 258.63/229.38 #BackRed : 2565
% 258.63/229.38
% 258.63/229.38 #Partial instantiations: 0
% 258.63/229.38 #Strategies tried : 1
% 258.63/229.38
% 258.63/229.38 Timing (in seconds)
% 258.63/229.38 ----------------------
% 258.63/229.38 Preprocessing : 1.34
% 258.63/229.38 Parsing : 0.64
% 258.63/229.38 CNF conversion : 0.11
% 258.63/229.38 Main loop : 226.88
% 258.63/229.38 Inferencing : 39.73
% 258.63/229.38 Reduction : 110.84
% 258.63/229.38 Demodulation : 100.11
% 258.63/229.38 BG Simplification : 0.97
% 258.63/229.38 Subsumption : 63.99
% 258.63/229.38 Abstraction : 1.90
% 258.63/229.38 MUC search : 0.00
% 258.63/229.38 Cooper : 0.00
% 258.63/229.38 Total : 228.29
% 258.63/229.38 Index Insertion : 0.00
% 258.63/229.38 Index Deletion : 0.00
% 258.63/229.38 Index Matching : 0.00
% 258.63/229.38 BG Taut test : 0.00
%------------------------------------------------------------------------------