TSTP Solution File: GEO657+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO657+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 : n005.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 10:39:23 EDT 2023
% Result : Theorem 161.45s 142.66s
% Output : CNFRefutation 161.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 67
% Syntax : Number of formulae : 275 ( 96 unt; 38 typ; 0 def)
% Number of atoms : 440 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 365 ( 162 ~; 153 |; 21 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 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 : 27 ( 27 usr; 7 con; 0-7 aty)
% Number of variables : 429 (; 428 !; 1 ?; 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_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_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_666,negated_conjecture,
~ ! [A,B,C,D,E,F,G] :
( ( coll(E,A,C)
& para(A,B,G,E)
& para(A,D,F,E)
& coll(F,C,D)
& coll(G,B,C) )
=> para(B,D,G,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
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_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_73,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
tff(f_79,axiom,
! [A,B,C,D,E,F] :
( ( para(A,B,C,D)
& para(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
tff(f_403,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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_287,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& para(E,F,B,C)
& coll(F,A,C) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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_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_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_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_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(f_273,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
tff(f_291,axiom,
! [A,B,O] :
( cong(O,A,O,B)
=> eqangle(O,A,A,B,A,B,O,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
tff(f_485,axiom,
! [A,B,O,X] :
? [M] :
( ( cong(O,A,O,B)
& eqangle(A,O,O,X,O,X,O,B) )
=> ( coll(B,A,M)
& coll(M,O,X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX2) ).
tff(f_421,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
tff(f_425,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
tff(f_354,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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_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_348,axiom,
! [A,B,M,O] :
( ( midp(M,A,B)
& perp(O,M,A,B) )
=> cong(O,A,O,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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_279,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
tff(c_238,plain,
coll('#skF_25','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_553,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_671,plain,
! [C_612] :
( coll(C_612,'#skF_23','#skF_25')
| ~ coll('#skF_25','#skF_21',C_612) ),
inference(resolution,[status(thm)],[c_238,c_553]) ).
tff(c_674,plain,
coll('#skF_23','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_238,c_671]) ).
tff(c_230,plain,
coll('#skF_27','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_647,plain,
! [C_611] :
( coll(C_611,'#skF_23','#skF_27')
| ~ coll('#skF_27','#skF_22',C_611) ),
inference(resolution,[status(thm)],[c_230,c_553]) ).
tff(c_650,plain,
coll('#skF_23','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_230,c_647]) ).
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_1210,plain,
! [C_649] :
( coll(C_649,'#skF_27','#skF_23')
| ~ coll('#skF_23','#skF_23',C_649) ),
inference(resolution,[status(thm)],[c_650,c_6]) ).
tff(c_1228,plain,
coll('#skF_25','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_674,c_1210]) ).
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_1246,plain,
coll('#skF_27','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_1228,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_1296,plain,
coll('#skF_27','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_1246,c_2]) ).
tff(c_239,plain,
! [A_523,C_524,B_525] :
( coll(A_523,C_524,B_525)
| ~ coll(A_523,B_525,C_524) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_246,plain,
coll('#skF_27','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_230,c_239]) ).
tff(c_604,plain,
! [C_604] :
( coll(C_604,'#skF_22','#skF_27')
| ~ coll('#skF_27','#skF_23',C_604) ),
inference(resolution,[status(thm)],[c_246,c_553]) ).
tff(c_1613,plain,
coll('#skF_25','#skF_22','#skF_27'),
inference(resolution,[status(thm)],[c_1296,c_604]) ).
tff(c_1774,plain,
coll('#skF_22','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_1613,c_4]) ).
tff(c_2128,plain,
coll('#skF_22','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_1774,c_2]) ).
tff(c_232,plain,
coll('#skF_26','#skF_23','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_247,plain,
coll('#skF_26','#skF_24','#skF_23'),
inference(resolution,[status(thm)],[c_232,c_239]) ).
tff(c_832,plain,
! [C_626] :
( coll(C_626,'#skF_23','#skF_26')
| ~ coll('#skF_26','#skF_24',C_626) ),
inference(resolution,[status(thm)],[c_247,c_553]) ).
tff(c_839,plain,
coll('#skF_23','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_247,c_832]) ).
tff(c_1440,plain,
! [C_662] :
( coll(C_662,'#skF_25','#skF_23')
| ~ coll('#skF_23','#skF_23',C_662) ),
inference(resolution,[status(thm)],[c_674,c_6]) ).
tff(c_1457,plain,
coll('#skF_26','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_839,c_1440]) ).
tff(c_1478,plain,
coll('#skF_26','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_1457,c_2]) ).
tff(c_606,plain,
! [C_604] :
( coll(C_604,'#skF_24','#skF_26')
| ~ coll('#skF_26','#skF_23',C_604) ),
inference(resolution,[status(thm)],[c_232,c_553]) ).
tff(c_1550,plain,
coll('#skF_25','#skF_24','#skF_26'),
inference(resolution,[status(thm)],[c_1478,c_606]) ).
tff(c_1562,plain,
coll('#skF_24','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_1550,c_4]) ).
tff(c_1911,plain,
coll('#skF_24','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_1562,c_2]) ).
tff(c_236,plain,
para('#skF_21','#skF_22','#skF_27','#skF_25'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_425,plain,
! [C_565,D_566,A_567,B_568] :
( para(C_565,D_566,A_567,B_568)
| ~ para(A_567,B_568,C_565,D_566) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_437,plain,
para('#skF_27','#skF_25','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_236,c_425]) ).
tff(c_2348,plain,
! [D_719,A_717,B_716,C_714,E_715,F_718] :
( para(A_717,B_716,E_715,F_718)
| ~ para(C_714,D_719,E_715,F_718)
| ~ para(A_717,B_716,C_714,D_719) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2546,plain,
! [A_728,B_729] :
( para(A_728,B_729,'#skF_27','#skF_25')
| ~ para(A_728,B_729,'#skF_21','#skF_22') ),
inference(resolution,[status(thm)],[c_236,c_2348]) ).
tff(c_2554,plain,
para('#skF_27','#skF_25','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_437,c_2546]) ).
tff(c_5013,plain,
! [C_878,M_876,B_877,D_874,A_875] :
( midp(M_876,C_878,D_874)
| ~ para(A_875,D_874,B_877,C_878)
| ~ para(A_875,C_878,B_877,D_874)
| ~ midp(M_876,A_875,B_877) ),
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_5043,plain,
! [M_876] :
( midp(M_876,'#skF_25','#skF_25')
| ~ para('#skF_27','#skF_25','#skF_27','#skF_25')
| ~ midp(M_876,'#skF_27','#skF_27') ),
inference(resolution,[status(thm)],[c_2554,c_5013]) ).
tff(c_5104,plain,
! [M_876] :
( midp(M_876,'#skF_25','#skF_25')
| ~ midp(M_876,'#skF_27','#skF_27') ),
inference(demodulation,[status(thm),theory(equality)],[c_2554,c_5043]) ).
tff(c_234,plain,
para('#skF_21','#skF_24','#skF_26','#skF_25'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_382,plain,
! [A_548,B_549,D_550,C_551] :
( para(A_548,B_549,D_550,C_551)
| ~ para(A_548,B_549,C_551,D_550) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_387,plain,
para('#skF_21','#skF_24','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_234,c_382]) ).
tff(c_435,plain,
para('#skF_25','#skF_26','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_387,c_425]) ).
tff(c_2422,plain,
! [A_720,B_721] :
( para(A_720,B_721,'#skF_26','#skF_25')
| ~ para(A_720,B_721,'#skF_21','#skF_24') ),
inference(resolution,[status(thm)],[c_234,c_2348]) ).
tff(c_10,plain,
! [C_17,D_18,A_15,B_16] :
( para(C_17,D_18,A_15,B_16)
| ~ para(A_15,B_16,C_17,D_18) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3700,plain,
! [A_790,B_791] :
( para('#skF_26','#skF_25',A_790,B_791)
| ~ para(A_790,B_791,'#skF_21','#skF_24') ),
inference(resolution,[status(thm)],[c_2422,c_10]) ).
tff(c_3713,plain,
para('#skF_26','#skF_25','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_435,c_3700]) ).
tff(c_3725,plain,
para('#skF_25','#skF_26','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_3713,c_10]) ).
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_3768,plain,
para('#skF_25','#skF_26','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_3725,c_8]) ).
tff(c_5017,plain,
! [M_876] :
( midp(M_876,'#skF_26','#skF_26')
| ~ para('#skF_25','#skF_26','#skF_25','#skF_26')
| ~ midp(M_876,'#skF_25','#skF_25') ),
inference(resolution,[status(thm)],[c_3768,c_5013]) ).
tff(c_5889,plain,
! [M_921] :
( midp(M_921,'#skF_26','#skF_26')
| ~ midp(M_921,'#skF_25','#skF_25') ),
inference(demodulation,[status(thm),theory(equality)],[c_3768,c_5017]) ).
tff(c_8433,plain,
! [M_1063] :
( midp(M_1063,'#skF_26','#skF_26')
| ~ midp(M_1063,'#skF_27','#skF_27') ),
inference(resolution,[status(thm)],[c_5104,c_5889]) ).
tff(c_3201,plain,
! [E_766,B_767,F_764,C_768,A_765] :
( midp(F_764,A_765,C_768)
| ~ coll(F_764,A_765,C_768)
| ~ para(E_766,F_764,B_767,C_768)
| ~ midp(E_766,A_765,B_767) ),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_3260,plain,
! [A_765] :
( midp('#skF_24',A_765,'#skF_25')
| ~ coll('#skF_24',A_765,'#skF_25')
| ~ midp('#skF_21',A_765,'#skF_26') ),
inference(resolution,[status(thm)],[c_234,c_3201]) ).
tff(c_8447,plain,
( midp('#skF_24','#skF_26','#skF_25')
| ~ coll('#skF_24','#skF_26','#skF_25')
| ~ midp('#skF_21','#skF_27','#skF_27') ),
inference(resolution,[status(thm)],[c_8433,c_3260]) ).
tff(c_8467,plain,
( midp('#skF_24','#skF_26','#skF_25')
| ~ midp('#skF_21','#skF_27','#skF_27') ),
inference(demodulation,[status(thm),theory(equality)],[c_1911,c_8447]) ).
tff(c_8642,plain,
~ midp('#skF_21','#skF_27','#skF_27'),
inference(splitLeft,[status(thm)],[c_8467]) ).
tff(c_436,plain,
para('#skF_26','#skF_25','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_234,c_425]) ).
tff(c_3507,plain,
! [A_780,B_781] :
( para(A_780,B_781,'#skF_21','#skF_24')
| ~ para(A_780,B_781,'#skF_26','#skF_25') ),
inference(resolution,[status(thm)],[c_436,c_2348]) ).
tff(c_3519,plain,
para('#skF_21','#skF_24','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_234,c_3507]) ).
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_3581,plain,
coll('#skF_21','#skF_24','#skF_24'),
inference(resolution,[status(thm)],[c_3519,c_134]) ).
tff(c_3589,plain,
coll('#skF_24','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_3581,c_4]) ).
tff(c_444,plain,
para('#skF_26','#skF_25','#skF_24','#skF_21'),
inference(resolution,[status(thm)],[c_436,c_8]) ).
tff(c_470,plain,
para('#skF_24','#skF_21','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_444,c_10]) ).
tff(c_3518,plain,
para('#skF_24','#skF_21','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_470,c_3507]) ).
tff(c_3642,plain,
para('#skF_24','#skF_21','#skF_24','#skF_21'),
inference(resolution,[status(thm)],[c_3518,c_8]) ).
tff(c_5021,plain,
! [M_876] :
( midp(M_876,'#skF_21','#skF_21')
| ~ para('#skF_24','#skF_21','#skF_24','#skF_21')
| ~ midp(M_876,'#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_3642,c_5013]) ).
tff(c_5824,plain,
! [M_914] :
( midp(M_914,'#skF_21','#skF_21')
| ~ midp(M_914,'#skF_24','#skF_24') ),
inference(demodulation,[status(thm),theory(equality)],[c_3642,c_5021]) ).
tff(c_92,plain,
! [F_269,B_266,C_267,A_265,E_268] :
( midp(F_269,A_265,C_267)
| ~ coll(F_269,A_265,C_267)
| ~ para(E_268,F_269,B_266,C_267)
| ~ midp(E_268,A_265,B_266) ),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_3576,plain,
! [A_265] :
( midp('#skF_24',A_265,'#skF_24')
| ~ coll('#skF_24',A_265,'#skF_24')
| ~ midp('#skF_21',A_265,'#skF_21') ),
inference(resolution,[status(thm)],[c_3519,c_92]) ).
tff(c_5828,plain,
( midp('#skF_24','#skF_21','#skF_24')
| ~ coll('#skF_24','#skF_21','#skF_24')
| ~ midp('#skF_21','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_5824,c_3576]) ).
tff(c_5845,plain,
( midp('#skF_24','#skF_21','#skF_24')
| ~ midp('#skF_21','#skF_24','#skF_24') ),
inference(demodulation,[status(thm),theory(equality)],[c_3589,c_5828]) ).
tff(c_9061,plain,
~ midp('#skF_21','#skF_24','#skF_24'),
inference(splitLeft,[status(thm)],[c_5845]) ).
tff(c_717,plain,
! [C_613] :
( coll(C_613,'#skF_24','#skF_26')
| ~ coll('#skF_26','#skF_23',C_613) ),
inference(resolution,[status(thm)],[c_232,c_553]) ).
tff(c_720,plain,
coll('#skF_24','#skF_24','#skF_26'),
inference(resolution,[status(thm)],[c_232,c_717]) ).
tff(c_731,plain,
coll('#skF_24','#skF_26','#skF_24'),
inference(resolution,[status(thm)],[c_720,c_2]) ).
tff(c_4177,plain,
! [C_825] :
( coll(C_825,'#skF_24','#skF_24')
| ~ coll('#skF_24','#skF_26',C_825) ),
inference(resolution,[status(thm)],[c_731,c_6]) ).
tff(c_4203,plain,
coll('#skF_24','#skF_24','#skF_24'),
inference(resolution,[status(thm)],[c_731,c_4177]) ).
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_6335,plain,
! [C_940,V_941,U_944,D_939,A_945,B_942,Q_943,P_946] :
( eqangle(C_940,D_939,A_945,B_942,U_944,V_941,P_946,Q_943)
| ~ eqangle(A_945,B_942,C_940,D_939,P_946,Q_943,U_944,V_941) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_25733,plain,
! [C_1758,Q_1754,D_1756,A_1753,B_1757,P_1755] :
( eqangle(P_1755,Q_1754,A_1753,B_1757,P_1755,Q_1754,C_1758,D_1756)
| ~ para(A_1753,B_1757,C_1758,D_1756) ),
inference(resolution,[status(thm)],[c_80,c_6335]) ).
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_25827,plain,
! [P_1755,Q_1754,C_1758,D_1756] :
( para(P_1755,Q_1754,P_1755,Q_1754)
| ~ para(C_1758,D_1756,C_1758,D_1756) ),
inference(resolution,[status(thm)],[c_25733,c_78]) ).
tff(c_34314,plain,
! [C_1758,D_1756] : ~ para(C_1758,D_1756,C_1758,D_1756),
inference(splitLeft,[status(thm)],[c_25827]) ).
tff(c_5241,plain,
! [A_882,B_883,P_884,Q_885] :
( cyclic(A_882,B_883,P_884,Q_885)
| ~ coll(P_884,Q_885,B_883)
| ~ eqangle(P_884,A_882,P_884,B_883,Q_885,A_882,Q_885,B_883) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_22859,plain,
! [D_1656,Q_1657,P_1658] :
( cyclic(D_1656,Q_1657,P_1658,P_1658)
| ~ coll(P_1658,P_1658,Q_1657)
| ~ para(P_1658,D_1656,P_1658,D_1656) ),
inference(resolution,[status(thm)],[c_80,c_5241]) ).
tff(c_25828,plain,
! [Q_1759] :
( cyclic('#skF_21',Q_1759,'#skF_24','#skF_24')
| ~ coll('#skF_24','#skF_24',Q_1759) ),
inference(resolution,[status(thm)],[c_3642,c_22859]) ).
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_29296,plain,
! [Q_1895] :
( cyclic('#skF_21','#skF_24',Q_1895,'#skF_24')
| ~ coll('#skF_24','#skF_24',Q_1895) ),
inference(resolution,[status(thm)],[c_25828,c_30]) ).
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_22694,plain,
! [P_1646,B_1647,A_1648,Q_1649] :
( eqangle(P_1646,B_1647,P_1646,A_1648,Q_1649,B_1647,Q_1649,A_1648)
| ~ cyclic(A_1648,B_1647,P_1646,Q_1649) ),
inference(resolution,[status(thm)],[c_82,c_6335]) ).
tff(c_22784,plain,
! [Q_1649,B_1647,A_1648] :
( para(Q_1649,B_1647,Q_1649,B_1647)
| ~ cyclic(A_1648,B_1647,Q_1649,Q_1649) ),
inference(resolution,[status(thm)],[c_22694,c_78]) ).
tff(c_29299,plain,
( para('#skF_24','#skF_24','#skF_24','#skF_24')
| ~ coll('#skF_24','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_29296,c_22784]) ).
tff(c_29315,plain,
para('#skF_24','#skF_24','#skF_24','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_4203,c_29299]) ).
tff(c_34347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34314,c_29315]) ).
tff(c_34385,plain,
! [P_2043,Q_2044] : para(P_2043,Q_2044,P_2043,Q_2044),
inference(splitRight,[status(thm)],[c_25827]) ).
tff(c_36052,plain,
! [P_2048,Q_2049] : coll(P_2048,Q_2049,Q_2049),
inference(resolution,[status(thm)],[c_34385,c_134]) ).
tff(c_37592,plain,
! [Q_2050,P_2051] : coll(Q_2050,P_2051,Q_2050),
inference(resolution,[status(thm)],[c_36052,c_4]) ).
tff(c_39073,plain,
! [Q_2050,P_2051] : coll(Q_2050,Q_2050,P_2051),
inference(resolution,[status(thm)],[c_37592,c_2]) ).
tff(c_2391,plain,
! [A_717,B_716] :
( para(A_717,B_716,'#skF_21','#skF_22')
| ~ para(A_717,B_716,'#skF_27','#skF_25') ),
inference(resolution,[status(thm)],[c_437,c_2348]) ).
tff(c_22881,plain,
! [Q_1657] :
( cyclic('#skF_22',Q_1657,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_1657)
| ~ para('#skF_21','#skF_22','#skF_27','#skF_25') ),
inference(resolution,[status(thm)],[c_2391,c_22859]) ).
tff(c_22953,plain,
! [Q_1660] :
( cyclic('#skF_22',Q_1660,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_1660) ),
inference(demodulation,[status(thm),theory(equality)],[c_236,c_22881]) ).
tff(c_24314,plain,
! [Q_1705] :
( cyclic('#skF_22','#skF_21',Q_1705,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_1705) ),
inference(resolution,[status(thm)],[c_22953,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_24341,plain,
! [Q_1705] :
( cyclic('#skF_22','#skF_21','#skF_21',Q_1705)
| ~ coll('#skF_21','#skF_21',Q_1705) ),
inference(resolution,[status(thm)],[c_24314,c_28]) ).
tff(c_39333,plain,
! [Q_1705] : cyclic('#skF_22','#skF_21','#skF_21',Q_1705),
inference(demodulation,[status(thm),theory(equality)],[c_39073,c_24341]) ).
tff(c_45619,plain,
! [Q_2174] : cyclic('#skF_22','#skF_21','#skF_21',Q_2174),
inference(demodulation,[status(thm),theory(equality)],[c_39073,c_24341]) ).
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_45623,plain,
! [D_72,Q_2174] :
( cyclic('#skF_21','#skF_21',D_72,Q_2174)
| ~ cyclic('#skF_22','#skF_21','#skF_21',D_72) ),
inference(resolution,[status(thm)],[c_45619,c_34]) ).
tff(c_45633,plain,
! [D_72,Q_2174] : cyclic('#skF_21','#skF_21',D_72,Q_2174),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45623]) ).
tff(c_46361,plain,
! [D_2208,Q_2209] : cyclic('#skF_21','#skF_21',D_2208,Q_2209),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45623]) ).
tff(c_46367,plain,
! [D_2208,D_72,Q_2209] :
( cyclic('#skF_21',D_2208,D_72,Q_2209)
| ~ cyclic('#skF_21','#skF_21',D_2208,D_72) ),
inference(resolution,[status(thm)],[c_46361,c_34]) ).
tff(c_46378,plain,
! [D_2208,D_72,Q_2209] : cyclic('#skF_21',D_2208,D_72,Q_2209),
inference(demodulation,[status(thm),theory(equality)],[c_45633,c_46367]) ).
tff(c_47365,plain,
! [D_2271,D_2272,Q_2273] : cyclic('#skF_21',D_2271,D_2272,Q_2273),
inference(demodulation,[status(thm),theory(equality)],[c_45633,c_46367]) ).
tff(c_47371,plain,
! [D_2271,D_2272,D_72,Q_2273] :
( cyclic(D_2271,D_2272,D_72,Q_2273)
| ~ cyclic('#skF_21',D_2271,D_2272,D_72) ),
inference(resolution,[status(thm)],[c_47365,c_34]) ).
tff(c_47382,plain,
! [D_2271,D_2272,D_72,Q_2273] : cyclic(D_2271,D_2272,D_72,Q_2273),
inference(demodulation,[status(thm),theory(equality)],[c_46378,c_47371]) ).
tff(c_18926,plain,
! [B_1540,P_1543,R_1542,C_1538,A_1541,Q_1539] :
( cong(A_1541,B_1540,P_1543,Q_1539)
| ~ eqangle(C_1538,A_1541,C_1538,B_1540,R_1542,P_1543,R_1542,Q_1539)
| ~ cyclic(A_1541,B_1540,C_1538,R_1542)
| ~ cyclic(A_1541,B_1540,C_1538,Q_1539)
| ~ cyclic(A_1541,B_1540,C_1538,P_1543) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_18953,plain,
! [A_242,B_243,P_244,Q_245] :
( cong(A_242,B_243,A_242,B_243)
| ~ cyclic(A_242,B_243,P_244,B_243)
| ~ cyclic(A_242,B_243,P_244,A_242)
| ~ cyclic(A_242,B_243,P_244,Q_245) ),
inference(resolution,[status(thm)],[c_82,c_18926]) ).
tff(c_50361,plain,
! [A_242,B_243] : cong(A_242,B_243,A_242,B_243),
inference(demodulation,[status(thm),theory(equality)],[c_47382,c_47382,c_47382,c_18953]) ).
tff(c_94,plain,
! [O_272,A_270,B_271] :
( eqangle(O_272,A_270,A_270,B_271,A_270,B_271,O_272,B_271)
| ~ cong(O_272,A_270,O_272,B_271) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_13524,plain,
! [B_1319,A_1320,O_1321,X_1322] :
( coll(B_1319,A_1320,'#skF_2'(A_1320,B_1319,O_1321,X_1322))
| ~ cong(O_1321,A_1320,O_1321,B_1319)
| ~ eqangle(A_1320,O_1321,O_1321,X_1322,O_1321,X_1322,O_1321,B_1319) ),
inference(cnfTransformation,[status(thm)],[f_485]) ).
tff(c_20363,plain,
! [B_1604,O_1605] :
( coll(B_1604,O_1605,'#skF_2'(O_1605,B_1604,O_1605,B_1604))
| ~ cong(O_1605,O_1605,O_1605,B_1604) ),
inference(resolution,[status(thm)],[c_94,c_13524]) ).
tff(c_728,plain,
! [C_9] :
( coll(C_9,'#skF_26','#skF_24')
| ~ coll('#skF_24','#skF_24',C_9) ),
inference(resolution,[status(thm)],[c_720,c_6]) ).
tff(c_21729,plain,
( coll('#skF_2'('#skF_24','#skF_24','#skF_24','#skF_24'),'#skF_26','#skF_24')
| ~ cong('#skF_24','#skF_24','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_20363,c_728]) ).
tff(c_26690,plain,
~ cong('#skF_24','#skF_24','#skF_24','#skF_24'),
inference(splitLeft,[status(thm)],[c_21729]) ).
tff(c_50372,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50361,c_26690]) ).
tff(c_50374,plain,
cong('#skF_24','#skF_24','#skF_24','#skF_24'),
inference(splitRight,[status(thm)],[c_21729]) ).
tff(c_136,plain,
! [A_368,B_369,C_370] :
( midp(A_368,B_369,C_370)
| ~ coll(A_368,B_369,C_370)
| ~ cong(A_368,B_369,A_368,C_370) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_50415,plain,
( midp('#skF_24','#skF_24','#skF_24')
| ~ coll('#skF_24','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_50374,c_136]) ).
tff(c_50442,plain,
midp('#skF_24','#skF_24','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_4203,c_50415]) ).
tff(c_5085,plain,
! [M_876] :
( midp(M_876,'#skF_21','#skF_21')
| ~ midp(M_876,'#skF_24','#skF_24') ),
inference(demodulation,[status(thm),theory(equality)],[c_3642,c_5021]) ).
tff(c_138,plain,
! [A_371,B_372,C_373] :
( cong(A_371,B_372,A_371,C_373)
| ~ midp(A_371,B_372,C_373) ),
inference(cnfTransformation,[status(thm)],[f_425]) ).
tff(c_2715,plain,
! [A_736,B_737,P_738,Q_739] :
( perp(A_736,B_737,P_738,Q_739)
| ~ cong(A_736,Q_739,B_737,Q_739)
| ~ cong(A_736,P_738,B_737,P_738) ),
inference(cnfTransformation,[status(thm)],[f_354]) ).
tff(c_2745,plain,
! [A_371,P_738,C_373] :
( perp(A_371,A_371,P_738,C_373)
| ~ cong(A_371,P_738,A_371,P_738)
| ~ midp(A_371,C_373,C_373) ),
inference(resolution,[status(thm)],[c_138,c_2715]) ).
tff(c_58301,plain,
! [C_2683] :
( perp('#skF_24','#skF_24','#skF_24',C_2683)
| ~ midp('#skF_24',C_2683,C_2683) ),
inference(resolution,[status(thm)],[c_50374,c_2745]) ).
tff(c_58315,plain,
( perp('#skF_24','#skF_24','#skF_24','#skF_21')
| ~ midp('#skF_24','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_5085,c_58301]) ).
tff(c_58330,plain,
perp('#skF_24','#skF_24','#skF_24','#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_50442,c_58315]) ).
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_58408,plain,
perp('#skF_24','#skF_24','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_58330,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_58479,plain,
perp('#skF_21','#skF_24','#skF_24','#skF_24'),
inference(resolution,[status(thm)],[c_58408,c_16]) ).
tff(c_112,plain,
! [O_311,A_308,B_309,M_310] :
( cong(O_311,A_308,O_311,B_309)
| ~ perp(O_311,M_310,A_308,B_309)
| ~ midp(M_310,A_308,B_309) ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_58549,plain,
( cong('#skF_21','#skF_24','#skF_21','#skF_24')
| ~ midp('#skF_24','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_58479,c_112]) ).
tff(c_58564,plain,
cong('#skF_21','#skF_24','#skF_21','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_50442,c_58549]) ).
tff(c_58640,plain,
( midp('#skF_21','#skF_24','#skF_24')
| ~ coll('#skF_21','#skF_24','#skF_24') ),
inference(resolution,[status(thm)],[c_58564,c_136]) ).
tff(c_58664,plain,
midp('#skF_21','#skF_24','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_58640]) ).
tff(c_58666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9061,c_58664]) ).
tff(c_58668,plain,
midp('#skF_21','#skF_24','#skF_24'),
inference(splitRight,[status(thm)],[c_5845]) ).
tff(c_81447,plain,
! [D_3488,Q_3486,A_3485,P_3487,C_3490,B_3489] :
( eqangle(P_3487,Q_3486,A_3485,B_3489,P_3487,Q_3486,C_3490,D_3488)
| ~ para(A_3485,B_3489,C_3490,D_3488) ),
inference(resolution,[status(thm)],[c_80,c_6335]) ).
tff(c_81541,plain,
! [P_3487,Q_3486,C_3490,D_3488] :
( para(P_3487,Q_3486,P_3487,Q_3486)
| ~ para(C_3490,D_3488,C_3490,D_3488) ),
inference(resolution,[status(thm)],[c_81447,c_78]) ).
tff(c_171182,plain,
! [C_3490,D_3488] : ~ para(C_3490,D_3488,C_3490,D_3488),
inference(splitLeft,[status(thm)],[c_81541]) ).
tff(c_248,plain,
coll('#skF_25','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_238,c_239]) ).
tff(c_753,plain,
! [C_619] :
( coll(C_619,'#skF_21','#skF_25')
| ~ coll('#skF_25','#skF_23',C_619) ),
inference(resolution,[status(thm)],[c_248,c_553]) ).
tff(c_760,plain,
coll('#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_248,c_753]) ).
tff(c_770,plain,
coll('#skF_21','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_760,c_2]) ).
tff(c_5298,plain,
! [C_889] :
( coll(C_889,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_25',C_889) ),
inference(resolution,[status(thm)],[c_770,c_6]) ).
tff(c_5324,plain,
coll('#skF_21','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_770,c_5298]) ).
tff(c_78601,plain,
! [D_3422,Q_3423,P_3424] :
( cyclic(D_3422,Q_3423,P_3424,P_3424)
| ~ coll(P_3424,P_3424,Q_3423)
| ~ para(P_3424,D_3422,P_3424,D_3422) ),
inference(resolution,[status(thm)],[c_80,c_5241]) ).
tff(c_78700,plain,
! [Q_3425] :
( cyclic('#skF_24',Q_3425,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_3425) ),
inference(resolution,[status(thm)],[c_3519,c_78601]) ).
tff(c_78718,plain,
! [Q_3425] :
( cyclic('#skF_24','#skF_21',Q_3425,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_3425) ),
inference(resolution,[status(thm)],[c_78700,c_30]) ).
tff(c_84977,plain,
! [Q_3601,D_3602] :
( cyclic(Q_3601,'#skF_21',D_3602,'#skF_21')
| ~ cyclic('#skF_24',Q_3601,'#skF_21',D_3602)
| ~ coll('#skF_21','#skF_21',Q_3601) ),
inference(resolution,[status(thm)],[c_78700,c_34]) ).
tff(c_84983,plain,
( cyclic('#skF_21','#skF_21','#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21','#skF_21') ),
inference(resolution,[status(thm)],[c_78718,c_84977]) ).
tff(c_84991,plain,
cyclic('#skF_21','#skF_21','#skF_21','#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_5324,c_84983]) ).
tff(c_2069,plain,
! [B_697,C_696,D_700,Q_695,A_698,P_699] :
( para(A_698,B_697,C_696,D_700)
| ~ eqangle(A_698,B_697,P_699,Q_695,C_696,D_700,P_699,Q_695) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_2082,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_2069]) ).
tff(c_85010,plain,
para('#skF_21','#skF_21','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_84991,c_2082]) ).
tff(c_171202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171182,c_85010]) ).
tff(c_171203,plain,
! [P_3487,Q_3486] : para(P_3487,Q_3486,P_3487,Q_3486),
inference(splitRight,[status(thm)],[c_81541]) ).
tff(c_171229,plain,
! [P_5537,Q_5538] : para(P_5537,Q_5538,P_5537,Q_5538),
inference(splitRight,[status(thm)],[c_81541]) ).
tff(c_130,plain,
! [M_359,C_357,B_356,A_355,D_358] :
( midp(M_359,C_357,D_358)
| ~ para(A_355,D_358,B_356,C_357)
| ~ para(A_355,C_357,B_356,D_358)
| ~ midp(M_359,A_355,B_356) ),
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_171317,plain,
! [M_359,Q_5538,P_5537] :
( midp(M_359,Q_5538,Q_5538)
| ~ para(P_5537,Q_5538,P_5537,Q_5538)
| ~ midp(M_359,P_5537,P_5537) ),
inference(resolution,[status(thm)],[c_171229,c_130]) ).
tff(c_183705,plain,
! [M_5659,Q_5660,P_5661] :
( midp(M_5659,Q_5660,Q_5660)
| ~ midp(M_5659,P_5661,P_5661) ),
inference(demodulation,[status(thm),theory(equality)],[c_171203,c_171317]) ).
tff(c_183751,plain,
! [Q_5660] : midp('#skF_21',Q_5660,Q_5660),
inference(resolution,[status(thm)],[c_58668,c_183705]) ).
tff(c_3714,plain,
para('#skF_26','#skF_25','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_436,c_3700]) ).
tff(c_5025,plain,
! [M_876] :
( midp(M_876,'#skF_25','#skF_25')
| ~ para('#skF_26','#skF_25','#skF_26','#skF_25')
| ~ midp(M_876,'#skF_26','#skF_26') ),
inference(resolution,[status(thm)],[c_3714,c_5013]) ).
tff(c_5210,plain,
! [M_881] :
( midp(M_881,'#skF_25','#skF_25')
| ~ midp(M_881,'#skF_26','#skF_26') ),
inference(demodulation,[status(thm),theory(equality)],[c_3714,c_5025]) ).
tff(c_3259,plain,
! [A_765] :
( midp('#skF_24',A_765,'#skF_26')
| ~ coll('#skF_24',A_765,'#skF_26')
| ~ midp('#skF_21',A_765,'#skF_25') ),
inference(resolution,[status(thm)],[c_387,c_3201]) ).
tff(c_5214,plain,
( midp('#skF_24','#skF_25','#skF_26')
| ~ coll('#skF_24','#skF_25','#skF_26')
| ~ midp('#skF_21','#skF_26','#skF_26') ),
inference(resolution,[status(thm)],[c_5210,c_3259]) ).
tff(c_5232,plain,
( midp('#skF_24','#skF_25','#skF_26')
| ~ midp('#skF_21','#skF_26','#skF_26') ),
inference(demodulation,[status(thm),theory(equality)],[c_1562,c_5214]) ).
tff(c_9023,plain,
~ midp('#skF_21','#skF_26','#skF_26'),
inference(splitLeft,[status(thm)],[c_5232]) ).
tff(c_183879,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_183751,c_9023]) ).
tff(c_183881,plain,
midp('#skF_21','#skF_26','#skF_26'),
inference(splitRight,[status(thm)],[c_5232]) ).
tff(c_5089,plain,
! [M_876] :
( midp(M_876,'#skF_25','#skF_25')
| ~ midp(M_876,'#skF_26','#skF_26') ),
inference(demodulation,[status(thm),theory(equality)],[c_3714,c_5025]) ).
tff(c_388,plain,
para('#skF_21','#skF_22','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_236,c_382]) ).
tff(c_434,plain,
para('#skF_25','#skF_27','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_388,c_425]) ).
tff(c_2553,plain,
para('#skF_25','#skF_27','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_434,c_2546]) ).
tff(c_2969,plain,
para('#skF_25','#skF_27','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_2553,c_8]) ).
tff(c_5029,plain,
! [M_876] :
( midp(M_876,'#skF_27','#skF_27')
| ~ para('#skF_25','#skF_27','#skF_25','#skF_27')
| ~ midp(M_876,'#skF_25','#skF_25') ),
inference(resolution,[status(thm)],[c_2969,c_5013]) ).
tff(c_5541,plain,
! [M_901] :
( midp(M_901,'#skF_27','#skF_27')
| ~ midp(M_901,'#skF_25','#skF_25') ),
inference(demodulation,[status(thm),theory(equality)],[c_2969,c_5029]) ).
tff(c_5548,plain,
! [M_876] :
( midp(M_876,'#skF_27','#skF_27')
| ~ midp(M_876,'#skF_26','#skF_26') ),
inference(resolution,[status(thm)],[c_5089,c_5541]) ).
tff(c_183911,plain,
midp('#skF_21','#skF_27','#skF_27'),
inference(resolution,[status(thm)],[c_183881,c_5548]) ).
tff(c_183936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8642,c_183911]) ).
tff(c_183938,plain,
midp('#skF_21','#skF_27','#skF_27'),
inference(splitRight,[status(thm)],[c_8467]) ).
tff(c_3261,plain,
! [A_765] :
( midp('#skF_22',A_765,'#skF_25')
| ~ coll('#skF_22',A_765,'#skF_25')
| ~ midp('#skF_21',A_765,'#skF_27') ),
inference(resolution,[status(thm)],[c_236,c_3201]) ).
tff(c_183976,plain,
( midp('#skF_22','#skF_27','#skF_25')
| ~ coll('#skF_22','#skF_27','#skF_25') ),
inference(resolution,[status(thm)],[c_183938,c_3261]) ).
tff(c_183992,plain,
midp('#skF_22','#skF_27','#skF_25'),
inference(demodulation,[status(thm),theory(equality)],[c_2128,c_183976]) ).
tff(c_22,plain,
! [M_47,A_45,B_46] :
( midp(M_47,A_45,B_46)
| ~ midp(M_47,B_46,A_45) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_184031,plain,
midp('#skF_22','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_183992,c_22]) ).
tff(c_183937,plain,
midp('#skF_24','#skF_26','#skF_25'),
inference(splitRight,[status(thm)],[c_8467]) ).
tff(c_184014,plain,
midp('#skF_24','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_183937,c_22]) ).
tff(c_90,plain,
! [B_261,F_264,A_260,E_263,C_262] :
( para(E_263,F_264,B_261,C_262)
| ~ midp(F_264,A_260,C_262)
| ~ midp(E_263,A_260,B_261) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_206237,plain,
! [E_6566,B_6567] :
( para(E_6566,'#skF_24',B_6567,'#skF_26')
| ~ midp(E_6566,'#skF_25',B_6567) ),
inference(resolution,[status(thm)],[c_184014,c_90]) ).
tff(c_228,plain,
~ para('#skF_22','#skF_24','#skF_27','#skF_26'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_206266,plain,
~ midp('#skF_22','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_206237,c_228]) ).
tff(c_206280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_184031,c_206266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO657+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
% 0.17/0.36 % Computer : n005.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Fri Aug 4 00:24:26 EDT 2023
% 0.17/0.36 % CPUTime :
% 161.45/142.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 161.45/142.69
% 161.45/142.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 161.73/142.74
% 161.73/142.74 Inference rules
% 161.73/142.74 ----------------------
% 161.73/142.74 #Ref : 0
% 161.73/142.74 #Sup : 49232
% 161.73/142.74 #Fact : 0
% 161.73/142.74 #Define : 0
% 161.73/142.74 #Split : 184
% 161.73/142.74 #Chain : 0
% 161.73/142.74 #Close : 0
% 161.73/142.74
% 161.73/142.74 Ordering : KBO
% 161.73/142.74
% 161.73/142.74 Simplification rules
% 161.73/142.74 ----------------------
% 161.73/142.74 #Subsume : 4442
% 161.73/142.74 #Demod : 29980
% 161.73/142.74 #Tautology : 26184
% 161.73/142.74 #SimpNegUnit : 212
% 161.73/142.74 #BackRed : 627
% 161.73/142.74
% 161.73/142.74 #Partial instantiations: 0
% 161.73/142.74 #Strategies tried : 1
% 161.73/142.74
% 161.73/142.74 Timing (in seconds)
% 161.73/142.74 ----------------------
% 161.73/142.75 Preprocessing : 0.73
% 161.73/142.75 Parsing : 0.41
% 161.73/142.75 CNF conversion : 0.08
% 161.73/142.75 Main loop : 140.89
% 161.73/142.75 Inferencing : 24.67
% 161.73/142.75 Reduction : 73.45
% 161.73/142.75 Demodulation : 62.50
% 161.73/142.75 BG Simplification : 0.27
% 161.73/142.75 Subsumption : 35.58
% 161.73/142.75 Abstraction : 0.55
% 161.73/142.75 MUC search : 0.00
% 161.73/142.75 Cooper : 0.00
% 161.73/142.75 Total : 141.72
% 161.73/142.75 Index Insertion : 0.00
% 161.73/142.75 Index Deletion : 0.00
% 161.73/142.75 Index Matching : 0.00
% 161.73/142.75 BG Taut test : 0.00
%------------------------------------------------------------------------------