TSTP Solution File: GEO555+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% 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 : n009.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 10:39:17 EDT 2023
% Result : Theorem 126.17s 108.27s
% Output : CNFRefutation 126.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 59
% Syntax : Number of formulae : 123 ( 28 unt; 41 typ; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 122 ( 45 ~; 42 |; 17 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 151 ( 31 >; 120 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 30 ( 30 usr; 10 con; 0-7 aty)
% Number of variables : 229 (; 229 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ eqratio > eqangle > simtri > contri > perp > para > cyclic > cong > circle > midp > coll > #nlpp > #skF_25 > #skF_10 > #skF_14 > #skF_13 > #skF_12 > #skF_5 > #skF_26 > #skF_15 > #skF_2 > #skF_19 > #skF_16 > #skF_8 > #skF_11 > #skF_21 > #skF_4 > #skF_30 > #skF_22 > #skF_17 > #skF_29 > #skF_28 > #skF_9 > #skF_24 > #skF_27 > #skF_23 > #skF_3 > #skF_20 > #skF_7 > #skF_6 > #skF_1 > #skF_18
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(circle,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(cong,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(perp,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(cyclic,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(eqratio,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(coll,type,
coll: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(midp,type,
midp: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(contri,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(simtri,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(para,type,
para: ( $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(eqangle,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i ) > $i ).
tff(f_246,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
tff(f_143,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
tff(f_242,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
tff(f_684,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,K,I] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& perp(G,F,B,C)
& coll(G,B,C)
& perp(H,F,A,C)
& coll(H,A,C)
& perp(K,E,A,B)
& coll(K,A,B)
& perp(I,D,A,B)
& coll(I,A,B) )
=> cyclic(H,K,I,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).
tff(f_65,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
tff(f_55,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
tff(f_83,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
tff(f_87,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
tff(f_93,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
tff(f_69,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
tff(f_263,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
tff(f_125,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
tff(f_129,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
tff(f_250,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
tff(f_415,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
tff(f_59,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
tff(f_121,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
tff(f_135,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
tff(c_80,plain,
! [B_237,C_238,D_239,P_240,Q_241,A_236] :
( eqangle(A_236,B_237,P_240,Q_241,C_238,D_239,P_240,Q_241)
| ~ para(A_236,B_237,C_238,D_239) ),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_5963,plain,
! [Q_895,P_898,D_891,V_893,C_892,A_897,B_894,U_896] :
( eqangle(C_892,D_891,A_897,B_894,U_896,V_893,P_898,Q_895)
| ~ eqangle(A_897,B_894,C_892,D_891,P_898,Q_895,U_896,V_893) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_18828,plain,
! [A_1422,B_1426,P_1424,C_1427,Q_1423,D_1425] :
( eqangle(P_1424,Q_1423,A_1422,B_1426,P_1424,Q_1423,C_1427,D_1425)
| ~ para(A_1422,B_1426,C_1427,D_1425) ),
inference(resolution,[status(thm)],[c_80,c_5963]) ).
tff(c_78,plain,
! [A_230,Q_235,D_233,B_231,P_234,C_232] :
( para(A_230,B_231,C_232,D_233)
| ~ eqangle(A_230,B_231,P_234,Q_235,C_232,D_233,P_234,Q_235) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_18922,plain,
! [P_1424,Q_1423,C_1427,D_1425] :
( para(P_1424,Q_1423,P_1424,Q_1423)
| ~ para(C_1427,D_1425,C_1427,D_1425) ),
inference(resolution,[status(thm)],[c_18828,c_78]) ).
tff(c_134333,plain,
! [C_1427,D_1425] : ~ para(C_1427,D_1425,C_1427,D_1425),
inference(splitLeft,[status(thm)],[c_18922]) ).
tff(c_238,plain,
coll('#skF_28','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_909,plain,
! [C_604,D_605,A_606,B_607] :
( coll(C_604,D_605,A_606)
| ~ coll(A_606,B_607,D_605)
| ~ coll(A_606,B_607,C_604) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1540,plain,
! [C_630] :
( coll(C_630,'#skF_23','#skF_28')
| ~ coll('#skF_28','#skF_21',C_630) ),
inference(resolution,[status(thm)],[c_238,c_909]) ).
tff(c_1543,plain,
coll('#skF_23','#skF_23','#skF_28'),
inference(resolution,[status(thm)],[c_238,c_1540]) ).
tff(c_2,plain,
! [A_1,C_3,B_2] :
( coll(A_1,C_3,B_2)
| ~ coll(A_1,B_2,C_3) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1553,plain,
coll('#skF_23','#skF_28','#skF_23'),
inference(resolution,[status(thm)],[c_1543,c_2]) ).
tff(c_6,plain,
! [C_9,D_10,A_7,B_8] :
( coll(C_9,D_10,A_7)
| ~ coll(A_7,B_8,D_10)
| ~ coll(A_7,B_8,C_9) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_14272,plain,
! [C_1284] :
( coll(C_1284,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_28',C_1284) ),
inference(resolution,[status(thm)],[c_1553,c_6]) ).
tff(c_14318,plain,
coll('#skF_23','#skF_23','#skF_23'),
inference(resolution,[status(thm)],[c_1553,c_14272]) ).
tff(c_244,plain,
perp('#skF_27','#skF_26','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_535,plain,
! [A_541,B_542,D_543,C_544] :
( perp(A_541,B_542,D_543,C_544)
| ~ perp(A_541,B_542,C_544,D_543) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_556,plain,
perp('#skF_27','#skF_26','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_244,c_535]) ).
tff(c_675,plain,
! [C_590,D_591,A_592,B_593] :
( perp(C_590,D_591,A_592,B_593)
| ~ perp(A_592,B_593,C_590,D_591) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_709,plain,
perp('#skF_23','#skF_22','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_556,c_675]) ).
tff(c_2820,plain,
! [C_727,F_728,E_726,D_729,B_730,A_725] :
( para(A_725,B_730,E_726,F_728)
| ~ perp(C_727,D_729,E_726,F_728)
| ~ perp(A_725,B_730,C_727,D_729) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_3028,plain,
! [A_731,B_732] :
( para(A_731,B_732,'#skF_22','#skF_23')
| ~ perp(A_731,B_732,'#skF_27','#skF_26') ),
inference(resolution,[status(thm)],[c_244,c_2820]) ).
tff(c_3040,plain,
para('#skF_23','#skF_22','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_709,c_3028]) ).
tff(c_8,plain,
! [A_11,B_12,D_14,C_13] :
( para(A_11,B_12,D_14,C_13)
| ~ para(A_11,B_12,C_13,D_14) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_5608,plain,
para('#skF_23','#skF_22','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_3040,c_8]) ).
tff(c_4739,plain,
! [A_824,B_825,P_826,Q_827] :
( cyclic(A_824,B_825,P_826,Q_827)
| ~ coll(P_826,Q_827,B_825)
| ~ eqangle(P_826,A_824,P_826,B_825,Q_827,A_824,Q_827,B_825) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_19354,plain,
! [D_1435,Q_1436,P_1437] :
( cyclic(D_1435,Q_1436,P_1437,P_1437)
| ~ coll(P_1437,P_1437,Q_1436)
| ~ para(P_1437,D_1435,P_1437,D_1435) ),
inference(resolution,[status(thm)],[c_80,c_4739]) ).
tff(c_124949,plain,
! [Q_3469] :
( cyclic('#skF_22',Q_3469,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_3469) ),
inference(resolution,[status(thm)],[c_5608,c_19354]) ).
tff(c_30,plain,
! [A_61,C_63,B_62,D_64] :
( cyclic(A_61,C_63,B_62,D_64)
| ~ cyclic(A_61,B_62,C_63,D_64) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_131833,plain,
! [Q_3659] :
( cyclic('#skF_22','#skF_23',Q_3659,'#skF_23')
| ~ coll('#skF_23','#skF_23',Q_3659) ),
inference(resolution,[status(thm)],[c_124949,c_30]) ).
tff(c_32,plain,
! [B_66,A_65,C_67,D_68] :
( cyclic(B_66,A_65,C_67,D_68)
| ~ cyclic(A_65,B_66,C_67,D_68) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_132651,plain,
! [Q_3680] :
( cyclic('#skF_23','#skF_22',Q_3680,'#skF_23')
| ~ coll('#skF_23','#skF_23',Q_3680) ),
inference(resolution,[status(thm)],[c_131833,c_32]) ).
tff(c_2586,plain,
! [P_713,A_714,B_715,Q_716] :
( eqangle(P_713,A_714,P_713,B_715,Q_716,A_714,Q_716,B_715)
| ~ cyclic(A_714,B_715,P_713,Q_716) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_2591,plain,
! [Q_716,A_714,B_715] :
( para(Q_716,A_714,Q_716,A_714)
| ~ cyclic(A_714,B_715,Q_716,Q_716) ),
inference(resolution,[status(thm)],[c_2586,c_78]) ).
tff(c_132664,plain,
( para('#skF_23','#skF_23','#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23','#skF_23') ),
inference(resolution,[status(thm)],[c_132651,c_2591]) ).
tff(c_132687,plain,
para('#skF_23','#skF_23','#skF_23','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_14318,c_132664]) ).
tff(c_134385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134333,c_132687]) ).
tff(c_134444,plain,
! [P_3713,Q_3714] : para(P_3713,Q_3714,P_3713,Q_3714),
inference(splitRight,[status(thm)],[c_18922]) ).
tff(c_134,plain,
! [A_365,B_366,C_367] :
( coll(A_365,B_366,C_367)
| ~ para(A_365,B_366,A_365,C_367) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_134865,plain,
! [P_3715,Q_3716] : coll(P_3715,Q_3716,Q_3716),
inference(resolution,[status(thm)],[c_134444,c_134]) ).
tff(c_4,plain,
! [B_5,A_4,C_6] :
( coll(B_5,A_4,C_6)
| ~ coll(A_4,B_5,C_6) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_139515,plain,
! [Q_3717,P_3718] : coll(Q_3717,P_3718,Q_3717),
inference(resolution,[status(thm)],[c_134865,c_4]) ).
tff(c_144056,plain,
! [Q_3717,P_3718] : coll(Q_3717,Q_3717,P_3718),
inference(resolution,[status(thm)],[c_139515,c_2]) ).
tff(c_232,plain,
perp('#skF_30','#skF_24','#skF_21','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_716,plain,
perp('#skF_21','#skF_22','#skF_30','#skF_24'),
inference(resolution,[status(thm)],[c_232,c_675]) ).
tff(c_3542,plain,
! [A_753,B_754] :
( para(A_753,B_754,'#skF_21','#skF_22')
| ~ perp(A_753,B_754,'#skF_30','#skF_24') ),
inference(resolution,[status(thm)],[c_232,c_2820]) ).
tff(c_3555,plain,
para('#skF_21','#skF_22','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_716,c_3542]) ).
tff(c_120026,plain,
! [Q_3348] :
( cyclic('#skF_22',Q_3348,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_3348) ),
inference(resolution,[status(thm)],[c_3555,c_19354]) ).
tff(c_121866,plain,
! [Q_3407] :
( cyclic('#skF_22','#skF_21',Q_3407,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_3407) ),
inference(resolution,[status(thm)],[c_120026,c_30]) ).
tff(c_28,plain,
! [A_57,B_58,D_60,C_59] :
( cyclic(A_57,B_58,D_60,C_59)
| ~ cyclic(A_57,B_58,C_59,D_60) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_121903,plain,
! [Q_3407] :
( cyclic('#skF_22','#skF_21','#skF_21',Q_3407)
| ~ coll('#skF_21','#skF_21',Q_3407) ),
inference(resolution,[status(thm)],[c_121866,c_28]) ).
tff(c_144233,plain,
! [Q_3407] : cyclic('#skF_22','#skF_21','#skF_21',Q_3407),
inference(demodulation,[status(thm),theory(equality)],[c_144056,c_121903]) ).
tff(c_163666,plain,
! [Q_3843] : cyclic('#skF_22','#skF_21','#skF_21',Q_3843),
inference(demodulation,[status(thm),theory(equality)],[c_144056,c_121903]) ).
tff(c_34,plain,
! [B_70,E_73,D_72,C_71,A_69] :
( cyclic(B_70,C_71,D_72,E_73)
| ~ cyclic(A_69,B_70,C_71,E_73)
| ~ cyclic(A_69,B_70,C_71,D_72) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_163675,plain,
! [D_72,Q_3843] :
( cyclic('#skF_21','#skF_21',D_72,Q_3843)
| ~ cyclic('#skF_22','#skF_21','#skF_21',D_72) ),
inference(resolution,[status(thm)],[c_163666,c_34]) ).
tff(c_163691,plain,
! [D_72,Q_3843] : cyclic('#skF_21','#skF_21',D_72,Q_3843),
inference(demodulation,[status(thm),theory(equality)],[c_144233,c_163675]) ).
tff(c_164110,plain,
! [D_3858,Q_3859] : cyclic('#skF_21','#skF_21',D_3858,Q_3859),
inference(demodulation,[status(thm),theory(equality)],[c_144233,c_163675]) ).
tff(c_164119,plain,
! [D_3858,D_72,Q_3859] :
( cyclic('#skF_21',D_3858,D_72,Q_3859)
| ~ cyclic('#skF_21','#skF_21',D_3858,D_72) ),
inference(resolution,[status(thm)],[c_164110,c_34]) ).
tff(c_164135,plain,
! [D_3858,D_72,Q_3859] : cyclic('#skF_21',D_3858,D_72,Q_3859),
inference(demodulation,[status(thm),theory(equality)],[c_163691,c_164119]) ).
tff(c_166111,plain,
! [D_3968,D_3969,Q_3970] : cyclic('#skF_21',D_3968,D_3969,Q_3970),
inference(demodulation,[status(thm),theory(equality)],[c_163691,c_164119]) ).
tff(c_166115,plain,
! [D_3968,D_3969,D_72,Q_3970] :
( cyclic(D_3968,D_3969,D_72,Q_3970)
| ~ cyclic('#skF_21',D_3968,D_3969,D_72) ),
inference(resolution,[status(thm)],[c_166111,c_34]) ).
tff(c_166125,plain,
! [D_3968,D_3969,D_72,Q_3970] : cyclic(D_3968,D_3969,D_72,Q_3970),
inference(demodulation,[status(thm),theory(equality)],[c_164135,c_166115]) ).
tff(c_228,plain,
~ cyclic('#skF_28','#skF_29','#skF_30','#skF_27'),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_167825,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166125,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % 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
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 4 00:39:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 126.17/108.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.17/108.27
% 126.17/108.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 126.17/108.32
% 126.17/108.32 Inference rules
% 126.17/108.32 ----------------------
% 126.17/108.32 #Ref : 0
% 126.17/108.32 #Sup : 40306
% 126.17/108.32 #Fact : 0
% 126.17/108.32 #Define : 0
% 126.17/108.32 #Split : 126
% 126.17/108.32 #Chain : 0
% 126.17/108.32 #Close : 0
% 126.17/108.32
% 126.17/108.32 Ordering : KBO
% 126.17/108.32
% 126.17/108.32 Simplification rules
% 126.17/108.32 ----------------------
% 126.17/108.32 #Subsume : 3424
% 126.17/108.32 #Demod : 21342
% 126.17/108.32 #Tautology : 19583
% 126.17/108.32 #SimpNegUnit : 97
% 126.17/108.32 #BackRed : 349
% 126.17/108.32
% 126.17/108.32 #Partial instantiations: 0
% 126.17/108.32 #Strategies tried : 1
% 126.17/108.32
% 126.17/108.32 Timing (in seconds)
% 126.17/108.32 ----------------------
% 126.17/108.32 Preprocessing : 0.75
% 126.17/108.32 Parsing : 0.42
% 126.17/108.32 CNF conversion : 0.07
% 126.17/108.32 Main loop : 106.42
% 126.17/108.32 Inferencing : 13.98
% 126.17/108.32 Reduction : 54.26
% 126.17/108.32 Demodulation : 45.32
% 126.17/108.32 BG Simplification : 0.22
% 126.17/108.32 Subsumption : 32.95
% 126.17/108.32 Abstraction : 0.38
% 126.17/108.32 MUC search : 0.00
% 126.17/108.32 Cooper : 0.00
% 126.17/108.32 Total : 107.24
% 126.17/108.32 Index Insertion : 0.00
% 126.17/108.32 Index Deletion : 0.00
% 126.17/108.32 Index Matching : 0.00
% 126.17/108.32 BG Taut test : 0.00
%------------------------------------------------------------------------------