TSTP Solution File: GEO543+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO543+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 : n015.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 10:39:16 EDT 2023
% Result : Theorem 138.98s 119.63s
% Output : CNFRefutation 138.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 60
% Syntax : Number of formulae : 125 ( 25 unt; 41 typ; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 133 ( 51 ~; 48 |; 15 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 246 (; 246 !; 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/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_678,negated_conjecture,
~ ! [A,B,C,D,E,F,H,A1,P,Q] :
( ( 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)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012003) ).
tff(f_65,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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_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_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_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_129,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox/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/sandbox/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/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_103,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
tff(f_395,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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_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_4813,plain,
! [Q_849,D_845,C_846,V_847,P_852,A_851,B_848,U_850] :
( eqangle(C_846,D_845,A_851,B_848,U_850,V_847,P_852,Q_849)
| ~ eqangle(A_851,B_848,C_846,D_845,P_852,Q_849,U_850,V_847) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_13325,plain,
! [P_1328,Q_1327,B_1330,A_1326,C_1331,D_1329] :
( eqangle(P_1328,Q_1327,A_1326,B_1330,P_1328,Q_1327,C_1331,D_1329)
| ~ para(A_1326,B_1330,C_1331,D_1329) ),
inference(resolution,[status(thm)],[c_80,c_4813]) ).
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_13419,plain,
! [P_1328,Q_1327,C_1331,D_1329] :
( para(P_1328,Q_1327,P_1328,Q_1327)
| ~ para(C_1331,D_1329,C_1331,D_1329) ),
inference(resolution,[status(thm)],[c_13325,c_78]) ).
tff(c_147377,plain,
! [C_1331,D_1329] : ~ para(C_1331,D_1329,C_1331,D_1329),
inference(splitLeft,[status(thm)],[c_13419]) ).
tff(c_238,plain,
coll('#skF_27','#skF_22','#skF_25'),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_885,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_1228,plain,
! [C_620] :
( coll(C_620,'#skF_25','#skF_27')
| ~ coll('#skF_27','#skF_22',C_620) ),
inference(resolution,[status(thm)],[c_238,c_885]) ).
tff(c_1231,plain,
coll('#skF_25','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_238,c_1228]) ).
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_1241,plain,
coll('#skF_25','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_1231,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_15541,plain,
! [C_1394] :
( coll(C_1394,'#skF_25','#skF_25')
| ~ coll('#skF_25','#skF_27',C_1394) ),
inference(resolution,[status(thm)],[c_1241,c_6]) ).
tff(c_15586,plain,
coll('#skF_25','#skF_25','#skF_25'),
inference(resolution,[status(thm)],[c_1241,c_15541]) ).
tff(c_246,plain,
perp('#skF_25','#skF_22','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_732,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_750,plain,
perp('#skF_21','#skF_23','#skF_25','#skF_22'),
inference(resolution,[status(thm)],[c_246,c_732]) ).
tff(c_3211,plain,
! [E_763,C_764,B_767,F_765,A_762,D_766] :
( para(A_762,B_767,E_763,F_765)
| ~ perp(C_764,D_766,E_763,F_765)
| ~ perp(A_762,B_767,C_764,D_766) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_11848,plain,
! [A_1281,B_1282] :
( para(A_1281,B_1282,'#skF_25','#skF_22')
| ~ perp(A_1281,B_1282,'#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_750,c_3211]) ).
tff(c_11890,plain,
para('#skF_25','#skF_22','#skF_25','#skF_22'),
inference(resolution,[status(thm)],[c_246,c_11848]) ).
tff(c_4269,plain,
! [A_814,B_815,P_816,Q_817] :
( cyclic(A_814,B_815,P_816,Q_817)
| ~ coll(P_816,Q_817,B_815)
| ~ eqangle(P_816,A_814,P_816,B_815,Q_817,A_814,Q_817,B_815) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_16637,plain,
! [D_1420,Q_1421,P_1422] :
( cyclic(D_1420,Q_1421,P_1422,P_1422)
| ~ coll(P_1422,P_1422,Q_1421)
| ~ para(P_1422,D_1420,P_1422,D_1420) ),
inference(resolution,[status(thm)],[c_80,c_4269]) ).
tff(c_17383,plain,
! [Q_1439] :
( cyclic('#skF_22',Q_1439,'#skF_25','#skF_25')
| ~ coll('#skF_25','#skF_25',Q_1439) ),
inference(resolution,[status(thm)],[c_11890,c_16637]) ).
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_130977,plain,
! [Q_3763] :
( cyclic('#skF_22','#skF_25',Q_3763,'#skF_25')
| ~ coll('#skF_25','#skF_25',Q_3763) ),
inference(resolution,[status(thm)],[c_17383,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_142336,plain,
! [Q_4069] :
( cyclic('#skF_25','#skF_22',Q_4069,'#skF_25')
| ~ coll('#skF_25','#skF_25',Q_4069) ),
inference(resolution,[status(thm)],[c_130977,c_32]) ).
tff(c_82,plain,
! [P_244,A_242,B_243,Q_245] :
( eqangle(P_244,A_242,P_244,B_243,Q_245,A_242,Q_245,B_243)
| ~ cyclic(A_242,B_243,P_244,Q_245) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_2161,plain,
! [C_702,A_704,D_706,B_703,P_705,Q_701] :
( para(A_704,B_703,C_702,D_706)
| ~ eqangle(A_704,B_703,P_705,Q_701,C_702,D_706,P_705,Q_701) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_2171,plain,
! [Q_245,A_242,B_243] :
( para(Q_245,A_242,Q_245,A_242)
| ~ cyclic(A_242,B_243,Q_245,Q_245) ),
inference(resolution,[status(thm)],[c_82,c_2161]) ).
tff(c_142351,plain,
( para('#skF_25','#skF_25','#skF_25','#skF_25')
| ~ coll('#skF_25','#skF_25','#skF_25') ),
inference(resolution,[status(thm)],[c_142336,c_2171]) ).
tff(c_142376,plain,
para('#skF_25','#skF_25','#skF_25','#skF_25'),
inference(demodulation,[status(thm),theory(equality)],[c_15586,c_142351]) ).
tff(c_147410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147377,c_142376]) ).
tff(c_147450,plain,
! [P_4149,Q_4150] : para(P_4149,Q_4150,P_4149,Q_4150),
inference(splitRight,[status(thm)],[c_13419]) ).
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_147852,plain,
! [P_4151,Q_4152] : coll(P_4151,Q_4152,Q_4152),
inference(resolution,[status(thm)],[c_147450,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_152543,plain,
! [Q_4154,P_4155] : coll(Q_4154,P_4155,Q_4154),
inference(resolution,[status(thm)],[c_147852,c_4]) ).
tff(c_157084,plain,
! [Q_4154,P_4155] : coll(Q_4154,Q_4154,P_4155),
inference(resolution,[status(thm)],[c_152543,c_2]) ).
tff(c_230,plain,
midp('#skF_30','#skF_26','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_264,plain,
! [M_526,A_527,B_528] :
( midp(M_526,A_527,B_528)
| ~ midp(M_526,B_528,A_527) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_271,plain,
midp('#skF_30','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_230,c_264]) ).
tff(c_1143,plain,
! [C_614,B_616,D_615,A_617,M_618] :
( para(A_617,C_614,B_616,D_615)
| ~ midp(M_618,C_614,D_615)
| ~ midp(M_618,A_617,B_616) ),
inference(cnfTransformation,[status(thm)],[f_395]) ).
tff(c_1813,plain,
! [A_674,B_675] :
( para(A_674,'#skF_26',B_675,'#skF_23')
| ~ midp('#skF_30',A_674,B_675) ),
inference(resolution,[status(thm)],[c_230,c_1143]) ).
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_1823,plain,
! [A_674,B_675] :
( para(A_674,'#skF_26','#skF_23',B_675)
| ~ midp('#skF_30',A_674,B_675) ),
inference(resolution,[status(thm)],[c_1813,c_8]) ).
tff(c_16670,plain,
! [Q_1421] :
( cyclic('#skF_26',Q_1421,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_1421)
| ~ midp('#skF_30','#skF_23','#skF_26') ),
inference(resolution,[status(thm)],[c_1823,c_16637]) ).
tff(c_122475,plain,
! [Q_3499] :
( cyclic('#skF_26',Q_3499,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_3499) ),
inference(demodulation,[status(thm),theory(equality)],[c_271,c_16670]) ).
tff(c_128900,plain,
! [Q_3698] :
( cyclic('#skF_26','#skF_23',Q_3698,'#skF_23')
| ~ coll('#skF_23','#skF_23',Q_3698) ),
inference(resolution,[status(thm)],[c_122475,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_128939,plain,
! [Q_3698] :
( cyclic('#skF_26','#skF_23','#skF_23',Q_3698)
| ~ coll('#skF_23','#skF_23',Q_3698) ),
inference(resolution,[status(thm)],[c_128900,c_28]) ).
tff(c_157241,plain,
! [Q_3698] : cyclic('#skF_26','#skF_23','#skF_23',Q_3698),
inference(demodulation,[status(thm),theory(equality)],[c_157084,c_128939]) ).
tff(c_178560,plain,
! [Q_4313] : cyclic('#skF_26','#skF_23','#skF_23',Q_4313),
inference(demodulation,[status(thm),theory(equality)],[c_157084,c_128939]) ).
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_178571,plain,
! [D_72,Q_4313] :
( cyclic('#skF_23','#skF_23',D_72,Q_4313)
| ~ cyclic('#skF_26','#skF_23','#skF_23',D_72) ),
inference(resolution,[status(thm)],[c_178560,c_34]) ).
tff(c_178588,plain,
! [D_72,Q_4313] : cyclic('#skF_23','#skF_23',D_72,Q_4313),
inference(demodulation,[status(thm),theory(equality)],[c_157241,c_178571]) ).
tff(c_180909,plain,
! [D_4392,Q_4393] : cyclic('#skF_23','#skF_23',D_4392,Q_4393),
inference(demodulation,[status(thm),theory(equality)],[c_157241,c_178571]) ).
tff(c_180915,plain,
! [D_4392,D_72,Q_4393] :
( cyclic('#skF_23',D_4392,D_72,Q_4393)
| ~ cyclic('#skF_23','#skF_23',D_4392,D_72) ),
inference(resolution,[status(thm)],[c_180909,c_34]) ).
tff(c_180928,plain,
! [D_4392,D_72,Q_4393] : cyclic('#skF_23',D_4392,D_72,Q_4393),
inference(demodulation,[status(thm),theory(equality)],[c_178588,c_180915]) ).
tff(c_181949,plain,
! [D_4425,D_4426,Q_4427] : cyclic('#skF_23',D_4425,D_4426,Q_4427),
inference(demodulation,[status(thm),theory(equality)],[c_178588,c_180915]) ).
tff(c_181955,plain,
! [D_4425,D_4426,D_72,Q_4427] :
( cyclic(D_4425,D_4426,D_72,Q_4427)
| ~ cyclic('#skF_23',D_4425,D_4426,D_72) ),
inference(resolution,[status(thm)],[c_181949,c_34]) ).
tff(c_181968,plain,
! [D_4425,D_4426,D_72,Q_4427] : cyclic(D_4425,D_4426,D_72,Q_4427),
inference(demodulation,[status(thm),theory(equality)],[c_180928,c_181955]) ).
tff(c_228,plain,
~ cyclic('#skF_29','#skF_30','#skF_27','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_183770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_181968,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO543+1 : TPTP v8.1.2. Released v7.5.0.
% 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
% 0.15/0.36 % Computer : n015.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 00:37:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 138.98/119.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.98/119.64
% 138.98/119.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 138.98/119.68
% 138.98/119.68 Inference rules
% 138.98/119.68 ----------------------
% 138.98/119.68 #Ref : 0
% 138.98/119.68 #Sup : 44111
% 138.98/119.68 #Fact : 0
% 138.98/119.68 #Define : 0
% 138.98/119.68 #Split : 110
% 138.98/119.68 #Chain : 0
% 138.98/119.68 #Close : 0
% 138.98/119.68
% 138.98/119.68 Ordering : KBO
% 138.98/119.68
% 138.98/119.68 Simplification rules
% 138.98/119.68 ----------------------
% 138.98/119.68 #Subsume : 4104
% 138.98/119.68 #Demod : 21426
% 138.98/119.68 #Tautology : 19319
% 138.98/119.68 #SimpNegUnit : 99
% 138.98/119.68 #BackRed : 331
% 138.98/119.68
% 138.98/119.68 #Partial instantiations: 0
% 138.98/119.68 #Strategies tried : 1
% 138.98/119.68
% 138.98/119.68 Timing (in seconds)
% 138.98/119.68 ----------------------
% 138.98/119.69 Preprocessing : 0.73
% 138.98/119.69 Parsing : 0.40
% 138.98/119.69 CNF conversion : 0.07
% 138.98/119.69 Main loop : 117.87
% 138.98/119.69 Inferencing : 15.15
% 138.98/119.69 Reduction : 57.89
% 138.98/119.69 Demodulation : 48.54
% 138.98/119.69 BG Simplification : 0.26
% 138.98/119.69 Subsumption : 39.63
% 138.98/119.69 Abstraction : 0.42
% 138.98/119.69 MUC search : 0.00
% 138.98/119.69 Cooper : 0.00
% 138.98/119.69 Total : 118.67
% 138.98/119.69 Index Insertion : 0.00
% 138.98/119.69 Index Deletion : 0.00
% 138.98/119.69 Index Matching : 0.00
% 138.98/119.69 BG Taut test : 0.00
%------------------------------------------------------------------------------