TSTP Solution File: GEO580+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO580+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/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 10:39:18 EDT 2023
% Result : Theorem 274.36s 251.27s
% Output : CNFRefutation 274.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 54
% Syntax : Number of formulae : 98 ( 22 unt; 39 typ; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 82 ( 29 ~; 26 |; 12 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 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 : 28 ( 28 usr; 8 con; 0-7 aty)
% Number of variables : 200 (; 200 !; 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_22 > #skF_17 > #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_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_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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
tff(f_676,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H] :
( ( eqangle(D,A,A,B,D,A,A,C)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,C,C,A,D,C,C,B)
& perp(E,A,B,C)
& coll(E,B,C)
& perp(F,B,A,D)
& coll(F,A,D)
& perp(G,C,A,D)
& coll(G,A,D)
& midp(H,C,B) )
=> cyclic(E,F,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
tff(f_87,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
tff(f_83,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
tff(f_415,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
tff(f_59,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
tff(f_55,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
tff(f_121,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox/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/sandbox/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_17272,plain,
! [B_1391,V_1390,C_1389,Q_1392,D_1388,P_1395,A_1394,U_1393] :
( eqangle(C_1389,D_1388,A_1394,B_1391,U_1393,V_1390,P_1395,Q_1392)
| ~ eqangle(A_1394,B_1391,C_1389,D_1388,P_1395,Q_1392,U_1393,V_1390) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_250480,plain,
! [D_6725,B_6726,Q_6723,A_6722,P_6724,C_6727] :
( eqangle(P_6724,Q_6723,A_6722,B_6726,P_6724,Q_6723,C_6727,D_6725)
| ~ para(A_6722,B_6726,C_6727,D_6725) ),
inference(resolution,[status(thm)],[c_80,c_17272]) ).
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_250584,plain,
! [P_6724,Q_6723,C_6727,D_6725] :
( para(P_6724,Q_6723,P_6724,Q_6723)
| ~ para(C_6727,D_6725,C_6727,D_6725) ),
inference(resolution,[status(thm)],[c_250480,c_78]) ).
tff(c_325712,plain,
! [C_6727,D_6725] : ~ para(C_6727,D_6725,C_6727,D_6725),
inference(splitLeft,[status(thm)],[c_250584]) ).
tff(c_234,plain,
perp('#skF_27','#skF_23','#skF_21','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_523,plain,
! [C_578,D_579,A_580,B_581] :
( perp(C_578,D_579,A_580,B_581)
| ~ perp(A_580,B_581,C_578,D_579) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_540,plain,
perp('#skF_21','#skF_24','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_234,c_523]) ).
tff(c_14,plain,
! [A_25,B_26,D_28,C_27] :
( perp(A_25,B_26,D_28,C_27)
| ~ perp(A_25,B_26,C_27,D_28) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_555,plain,
perp('#skF_21','#skF_24','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_540,c_14]) ).
tff(c_16,plain,
! [C_31,D_32,A_29,B_30] :
( perp(C_31,D_32,A_29,B_30)
| ~ perp(A_29,B_30,C_31,D_32) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_596,plain,
perp('#skF_23','#skF_27','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_555,c_16]) ).
tff(c_2558,plain,
! [D_757,F_756,E_754,A_753,B_758,C_755] :
( para(A_753,B_758,E_754,F_756)
| ~ perp(C_755,D_757,E_754,F_756)
| ~ perp(A_753,B_758,C_755,D_757) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_254380,plain,
! [A_6844,B_6845] :
( para(A_6844,B_6845,'#skF_27','#skF_23')
| ~ perp(A_6844,B_6845,'#skF_21','#skF_24') ),
inference(resolution,[status(thm)],[c_540,c_2558]) ).
tff(c_254438,plain,
para('#skF_23','#skF_27','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_596,c_254380]) ).
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_254492,plain,
para('#skF_23','#skF_27','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_254438,c_8]) ).
tff(c_325732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_325712,c_254492]) ).
tff(c_325759,plain,
! [P_8543,Q_8544] : para(P_8543,Q_8544,P_8543,Q_8544),
inference(splitRight,[status(thm)],[c_250584]) ).
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_326103,plain,
! [P_8545,Q_8546] : coll(P_8545,Q_8546,Q_8546),
inference(resolution,[status(thm)],[c_325759,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_328143,plain,
! [Q_8547,P_8548] : coll(Q_8547,P_8548,Q_8547),
inference(resolution,[status(thm)],[c_326103,c_4]) ).
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_330049,plain,
! [Q_8547,P_8548] : coll(Q_8547,Q_8547,P_8548),
inference(resolution,[status(thm)],[c_328143,c_2]) ).
tff(c_325733,plain,
! [P_6724,Q_6723] : para(P_6724,Q_6723,P_6724,Q_6723),
inference(splitRight,[status(thm)],[c_250584]) ).
tff(c_17647,plain,
! [A_1407,B_1408,P_1409,Q_1410] :
( cyclic(A_1407,B_1408,P_1409,Q_1410)
| ~ coll(P_1409,Q_1410,B_1408)
| ~ eqangle(P_1409,A_1407,P_1409,B_1408,Q_1410,A_1407,Q_1410,B_1408) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_17666,plain,
! [D_239,Q_241,P_240] :
( cyclic(D_239,Q_241,P_240,P_240)
| ~ coll(P_240,P_240,Q_241)
| ~ para(P_240,D_239,P_240,D_239) ),
inference(resolution,[status(thm)],[c_80,c_17647]) ).
tff(c_325749,plain,
! [D_239,Q_241,P_240] :
( cyclic(D_239,Q_241,P_240,P_240)
| ~ coll(P_240,P_240,Q_241) ),
inference(demodulation,[status(thm),theory(equality)],[c_325733,c_17666]) ).
tff(c_331100,plain,
! [D_8554,Q_8555,P_8556] : cyclic(D_8554,Q_8555,P_8556,P_8556),
inference(demodulation,[status(thm),theory(equality)],[c_330049,c_325749]) ).
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_337135,plain,
! [D_8616,P_8617,Q_8618] : cyclic(D_8616,P_8617,Q_8618,P_8617),
inference(resolution,[status(thm)],[c_331100,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_337162,plain,
! [D_8616,P_8617,Q_8618] : cyclic(D_8616,P_8617,P_8617,Q_8618),
inference(resolution,[status(thm)],[c_337135,c_28]) ).
tff(c_337195,plain,
! [D_8622,P_8623,Q_8624] : cyclic(D_8622,P_8623,P_8623,Q_8624),
inference(resolution,[status(thm)],[c_337135,c_28]) ).
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_337205,plain,
! [P_8623,D_72,Q_8624,D_8622] :
( cyclic(P_8623,P_8623,D_72,Q_8624)
| ~ cyclic(D_8622,P_8623,P_8623,D_72) ),
inference(resolution,[status(thm)],[c_337195,c_34]) ).
tff(c_337217,plain,
! [P_8623,D_72,Q_8624] : cyclic(P_8623,P_8623,D_72,Q_8624),
inference(demodulation,[status(thm),theory(equality)],[c_337162,c_337205]) ).
tff(c_337317,plain,
! [P_8629,D_8630,Q_8631] : cyclic(P_8629,P_8629,D_8630,Q_8631),
inference(demodulation,[status(thm),theory(equality)],[c_337162,c_337205]) ).
tff(c_337321,plain,
! [P_8629,D_8630,D_72,Q_8631] :
( cyclic(P_8629,D_8630,D_72,Q_8631)
| ~ cyclic(P_8629,P_8629,D_8630,D_72) ),
inference(resolution,[status(thm)],[c_337317,c_34]) ).
tff(c_337331,plain,
! [P_8629,D_8630,D_72,Q_8631] : cyclic(P_8629,D_8630,D_72,Q_8631),
inference(demodulation,[status(thm),theory(equality)],[c_337217,c_337321]) ).
tff(c_228,plain,
~ cyclic('#skF_25','#skF_26','#skF_27','#skF_28'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_337518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_337331,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 00:18:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 274.36/251.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 274.36/251.28
% 274.36/251.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 274.36/251.32
% 274.36/251.32 Inference rules
% 274.36/251.32 ----------------------
% 274.36/251.32 #Ref : 0
% 274.36/251.32 #Sup : 83125
% 274.36/251.32 #Fact : 0
% 274.36/251.32 #Define : 0
% 274.36/251.32 #Split : 217
% 274.36/251.32 #Chain : 0
% 274.36/251.32 #Close : 0
% 274.36/251.32
% 274.36/251.32 Ordering : KBO
% 274.36/251.32
% 274.36/251.32 Simplification rules
% 274.36/251.32 ----------------------
% 274.36/251.32 #Subsume : 12525
% 274.36/251.32 #Demod : 30748
% 274.36/251.32 #Tautology : 25980
% 274.36/251.32 #SimpNegUnit : 1085
% 274.36/251.32 #BackRed : 371
% 274.36/251.32
% 274.36/251.32 #Partial instantiations: 0
% 274.36/251.32 #Strategies tried : 1
% 274.36/251.32
% 274.36/251.32 Timing (in seconds)
% 274.36/251.32 ----------------------
% 274.36/251.33 Preprocessing : 0.73
% 274.36/251.33 Parsing : 0.41
% 274.36/251.33 CNF conversion : 0.07
% 274.36/251.33 Main loop : 249.53
% 274.36/251.33 Inferencing : 37.37
% 274.36/251.33 Reduction : 122.80
% 274.36/251.33 Demodulation : 101.27
% 274.36/251.33 BG Simplification : 0.45
% 274.36/251.33 Subsumption : 76.91
% 274.36/251.33 Abstraction : 0.90
% 274.36/251.33 MUC search : 0.00
% 274.36/251.33 Cooper : 0.00
% 274.36/251.33 Total : 250.33
% 274.36/251.33 Index Insertion : 0.00
% 274.36/251.33 Index Deletion : 0.00
% 274.36/251.33 Index Matching : 0.00
% 274.36/251.33 BG Taut test : 0.00
%------------------------------------------------------------------------------