TSTP Solution File: GEO601+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO601+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 : n003.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 10:39:20 EDT 2023
% Result : Theorem 243.79s 222.18s
% Output : CNFRefutation 244.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 62
% Syntax : Number of formulae : 295 ( 129 unt; 38 typ; 0 def)
% Number of atoms : 417 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 307 ( 147 ~; 126 |; 10 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 516 (; 515 !; 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_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_664,negated_conjecture,
~ ! [A,B,C,D,E,F,G] :
( ( coll(D,B,C)
& circle(E,A,D,C)
& circle(F,A,D,B)
& circle(G,B,A,C) )
=> cyclic(A,F,G,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).
tff(f_336,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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_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_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_577,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
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_139,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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_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_151,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
tff(f_455,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& para(P,Q,U,V) )
=> para(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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_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_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_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_310,axiom,
! [A,B,C,O,X] :
( ( circle(O,A,B,C)
& eqangle(A,X,A,B,C,A,C,B) )
=> perp(O,A,A,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
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_386257,plain,
! [P_16300,V_16295,C_16294,A_16299,Q_16297,B_16296,D_16293,U_16298] :
( eqangle(C_16294,D_16293,A_16299,B_16296,U_16298,V_16295,P_16300,Q_16297)
| ~ eqangle(A_16299,B_16296,C_16294,D_16293,P_16300,Q_16297,U_16298,V_16295) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_404578,plain,
! [B_17099,P_17097,A_17095,D_17098,Q_17096,C_17100] :
( eqangle(P_17097,Q_17096,A_17095,B_17099,P_17097,Q_17096,C_17100,D_17098)
| ~ para(A_17095,B_17099,C_17100,D_17098) ),
inference(resolution,[status(thm)],[c_80,c_386257]) ).
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_404672,plain,
! [P_17097,Q_17096,C_17100,D_17098] :
( para(P_17097,Q_17096,P_17097,Q_17096)
| ~ para(C_17100,D_17098,C_17100,D_17098) ),
inference(resolution,[status(thm)],[c_404578,c_78]) ).
tff(c_405229,plain,
! [C_17100,D_17098] : ~ para(C_17100,D_17098,C_17100,D_17098),
inference(splitLeft,[status(thm)],[c_404672]) ).
tff(c_230,plain,
circle('#skF_27','#skF_22','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_798,plain,
! [A_636,B_637,C_638,O_639] :
( perp(A_636,B_637,B_637,C_638)
| ~ coll(O_639,A_636,C_638)
| ~ circle(O_639,A_636,B_637,C_638) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_806,plain,
( perp('#skF_22','#skF_21','#skF_21','#skF_23')
| ~ coll('#skF_27','#skF_22','#skF_23') ),
inference(resolution,[status(thm)],[c_230,c_798]) ).
tff(c_328737,plain,
~ coll('#skF_27','#skF_22','#skF_23'),
inference(splitLeft,[status(thm)],[c_806]) ).
tff(c_236,plain,
coll('#skF_24','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_238,plain,
! [A_526,C_527,B_528] :
( coll(A_526,C_527,B_528)
| ~ coll(A_526,B_528,C_527) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_241,plain,
coll('#skF_24','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_236,c_238]) ).
tff(c_351,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_440,plain,
! [C_610] :
( coll(C_610,'#skF_22','#skF_24')
| ~ coll('#skF_24','#skF_23',C_610) ),
inference(resolution,[status(thm)],[c_241,c_351]) ).
tff(c_447,plain,
coll('#skF_22','#skF_22','#skF_24'),
inference(resolution,[status(thm)],[c_241,c_440]) ).
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_458,plain,
coll('#skF_22','#skF_24','#skF_22'),
inference(resolution,[status(thm)],[c_447,c_2]) ).
tff(c_246,plain,
! [B_529,A_530,C_531] :
( coll(B_529,A_530,C_531)
| ~ coll(A_530,B_529,C_531) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_252,plain,
coll('#skF_22','#skF_24','#skF_23'),
inference(resolution,[status(thm)],[c_236,c_246]) ).
tff(c_367,plain,
! [C_604] :
( coll(C_604,'#skF_23','#skF_22')
| ~ coll('#skF_22','#skF_24',C_604) ),
inference(resolution,[status(thm)],[c_252,c_351]) ).
tff(c_467,plain,
coll('#skF_22','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_458,c_367]) ).
tff(c_480,plain,
coll('#skF_22','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_467,c_2]) ).
tff(c_232,plain,
circle('#skF_26','#skF_21','#skF_24','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_805,plain,
( perp('#skF_21','#skF_24','#skF_24','#skF_22')
| ~ coll('#skF_26','#skF_21','#skF_22') ),
inference(resolution,[status(thm)],[c_232,c_798]) ).
tff(c_293491,plain,
~ coll('#skF_26','#skF_21','#skF_22'),
inference(splitLeft,[status(thm)],[c_805]) ).
tff(c_234,plain,
circle('#skF_25','#skF_21','#skF_24','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_807,plain,
( perp('#skF_21','#skF_24','#skF_24','#skF_23')
| ~ coll('#skF_25','#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_234,c_798]) ).
tff(c_852,plain,
~ coll('#skF_25','#skF_21','#skF_23'),
inference(splitLeft,[status(thm)],[c_807]) ).
tff(c_51681,plain,
! [O_3349,A_3350,B_3351,C_3352] :
( ~ circle(O_3349,A_3350,B_3351,C_3352)
| perp('#skF_12'(A_3350,B_3351,C_3352,O_3349),A_3350,A_3350,O_3349) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
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_51689,plain,
! [A_3350,O_3349,B_3351,C_3352] :
( perp(A_3350,O_3349,'#skF_12'(A_3350,B_3351,C_3352,O_3349),A_3350)
| ~ circle(O_3349,A_3350,B_3351,C_3352) ),
inference(resolution,[status(thm)],[c_51681,c_16]) ).
tff(c_200,plain,
! [O_479,A_476,B_477,C_478] :
( ~ circle(O_479,A_476,B_477,C_478)
| perp('#skF_12'(A_476,B_477,C_478,O_479),A_476,A_476,O_479) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_116607,plain,
! [F_6047,D_6048,A_6044,B_6049,C_6046,E_6045] :
( para(A_6044,B_6049,E_6045,F_6047)
| ~ perp(C_6046,D_6048,E_6045,F_6047)
| ~ perp(A_6044,B_6049,C_6046,D_6048) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_259975,plain,
! [A_11917,A_11915,C_11916,B_11919,O_11914,B_11918] :
( para(A_11917,B_11918,A_11915,O_11914)
| ~ perp(A_11917,B_11918,'#skF_12'(A_11915,B_11919,C_11916,O_11914),A_11915)
| ~ circle(O_11914,A_11915,B_11919,C_11916) ),
inference(resolution,[status(thm)],[c_200,c_116607]) ).
tff(c_292032,plain,
! [A_12671,O_12672,B_12673,C_12674] :
( para(A_12671,O_12672,A_12671,O_12672)
| ~ circle(O_12672,A_12671,B_12673,C_12674) ),
inference(resolution,[status(thm)],[c_51689,c_259975]) ).
tff(c_292050,plain,
para('#skF_21','#skF_25','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_234,c_292032]) ).
tff(c_119113,plain,
! [A_6202,Q_6199,U_6200,V_6197,P_6196,C_6201,D_6198,B_6203] :
( eqangle(B_6203,A_6202,C_6201,D_6198,P_6196,Q_6199,U_6200,V_6197)
| ~ eqangle(A_6202,B_6203,C_6201,D_6198,P_6196,Q_6199,U_6200,V_6197) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_235387,plain,
! [A_11487,B_11491,D_11490,P_11489,Q_11488,C_11492] :
( eqangle(B_11491,A_11487,P_11489,Q_11488,C_11492,D_11490,P_11489,Q_11488)
| ~ para(A_11487,B_11491,C_11492,D_11490) ),
inference(resolution,[status(thm)],[c_80,c_119113]) ).
tff(c_292299,plain,
! [B_12675,A_12676,C_12677,D_12678] :
( para(B_12675,A_12676,C_12677,D_12678)
| ~ para(A_12676,B_12675,C_12677,D_12678) ),
inference(resolution,[status(thm)],[c_235387,c_78]) ).
tff(c_292677,plain,
para('#skF_25','#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_292050,c_292299]) ).
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_292974,plain,
para('#skF_25','#skF_21','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_292677,c_8]) ).
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_293238,plain,
coll('#skF_25','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_292974,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_293246,plain,
coll('#skF_21','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_293238,c_4]) ).
tff(c_293321,plain,
coll('#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_293246,c_2]) ).
tff(c_1143,plain,
! [O_736,A_737,B_738,C_739] :
( ~ circle(O_736,A_737,B_738,C_739)
| perp('#skF_12'(A_737,B_738,C_739,O_736),A_737,A_737,O_736) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_1151,plain,
! [A_737,O_736,B_738,C_739] :
( perp(A_737,O_736,'#skF_12'(A_737,B_738,C_739,O_736),A_737)
| ~ circle(O_736,A_737,B_738,C_739) ),
inference(resolution,[status(thm)],[c_1143,c_16]) ).
tff(c_3188,plain,
! [U_1076,P_1078,C_1072,A_1077,D_1071,V_1073,Q_1075,B_1074] :
( eqangle(C_1072,D_1071,A_1077,B_1074,U_1076,V_1073,P_1078,Q_1075)
| ~ eqangle(A_1077,B_1074,C_1072,D_1071,P_1078,Q_1075,U_1076,V_1073) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_3242,plain,
! [Q_1100,A_1099,P_1101,B_1103,C_1104,D_1102] :
( eqangle(P_1101,Q_1100,A_1099,B_1103,P_1101,Q_1100,C_1104,D_1102)
| ~ para(A_1099,B_1103,C_1104,D_1102) ),
inference(resolution,[status(thm)],[c_80,c_3188]) ).
tff(c_3255,plain,
! [P_1101,Q_1100,C_1104,D_1102] :
( para(P_1101,Q_1100,P_1101,Q_1100)
| ~ para(C_1104,D_1102,C_1104,D_1102) ),
inference(resolution,[status(thm)],[c_3242,c_78]) ).
tff(c_3256,plain,
! [C_1104,D_1102] : ~ para(C_1104,D_1102,C_1104,D_1102),
inference(splitLeft,[status(thm)],[c_3255]) ).
tff(c_3199,plain,
! [B_237,C_238,D_239,P_240,Q_241,A_236] :
( eqangle(P_240,Q_241,A_236,B_237,P_240,Q_241,C_238,D_239)
| ~ para(A_236,B_237,C_238,D_239) ),
inference(resolution,[status(thm)],[c_80,c_3188]) ).
tff(c_4067,plain,
! [A_1245,V_1247,U_1240,Q_1244,P_1246,D_1243,B_1241,C_1242] :
( eqangle(A_1245,B_1241,P_1246,Q_1244,C_1242,D_1243,U_1240,V_1247)
| ~ eqangle(A_1245,B_1241,C_1242,D_1243,P_1246,Q_1244,U_1240,V_1247) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_4099,plain,
! [B_237,C_238,D_239,P_240,Q_241,A_236] :
( eqangle(P_240,Q_241,P_240,Q_241,A_236,B_237,C_238,D_239)
| ~ para(A_236,B_237,C_238,D_239) ),
inference(resolution,[status(thm)],[c_3199,c_4067]) ).
tff(c_7135,plain,
! [P_1588,C_1587,V_1592,D_1586,A_1593,B_1591,Q_1590,U_1589] :
( para(A_1593,B_1591,C_1587,D_1586)
| ~ para(P_1588,Q_1590,U_1589,V_1592)
| ~ eqangle(A_1593,B_1591,C_1587,D_1586,P_1588,Q_1590,U_1589,V_1592) ),
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_7231,plain,
! [B_237,C_238,D_239,P_240,Q_241,A_236] :
( para(P_240,Q_241,P_240,Q_241)
| ~ para(A_236,B_237,C_238,D_239) ),
inference(resolution,[status(thm)],[c_4099,c_7135]) ).
tff(c_7311,plain,
! [A_236,B_237,C_238,D_239] : ~ para(A_236,B_237,C_238,D_239),
inference(negUnitSimplification,[status(thm)],[c_3256,c_7231]) ).
tff(c_18,plain,
! [D_36,F_38,E_37,A_33,B_34,C_35] :
( para(A_33,B_34,E_37,F_38)
| ~ perp(C_35,D_36,E_37,F_38)
| ~ perp(A_33,B_34,C_35,D_36) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_7772,plain,
! [A_1627,C_1629,B_1632,D_1631,E_1628,F_1630] :
( ~ perp(C_1629,D_1631,E_1628,F_1630)
| ~ perp(A_1627,B_1632,C_1629,D_1631) ),
inference(negUnitSimplification,[status(thm)],[c_7311,c_18]) ).
tff(c_7797,plain,
! [B_1634,B_1635,C_1636,A_1633,O_1637,A_1638] :
( ~ perp(A_1633,B_1634,A_1638,O_1637)
| ~ circle(O_1637,A_1638,B_1635,C_1636) ),
inference(resolution,[status(thm)],[c_1151,c_7772]) ).
tff(c_7874,plain,
! [A_1660,C_1662,B_1661,B_1664,O_1659,C_1663] :
( ~ circle(O_1659,A_1660,B_1661,C_1663)
| ~ circle(O_1659,A_1660,B_1664,C_1662) ),
inference(resolution,[status(thm)],[c_200,c_7797]) ).
tff(c_7884,plain,
! [B_1664,C_1662] : ~ circle('#skF_26','#skF_21',B_1664,C_1662),
inference(resolution,[status(thm)],[c_232,c_7874]) ).
tff(c_8044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7884,c_232]) ).
tff(c_8047,plain,
! [P_1669,Q_1670] : para(P_1669,Q_1670,P_1669,Q_1670),
inference(splitRight,[status(thm)],[c_3255]) ).
tff(c_8090,plain,
! [P_1671,Q_1672] : coll(P_1671,Q_1672,Q_1672),
inference(resolution,[status(thm)],[c_8047,c_134]) ).
tff(c_8219,plain,
! [Q_1674,P_1675] : coll(Q_1674,P_1675,Q_1674),
inference(resolution,[status(thm)],[c_8090,c_4]) ).
tff(c_8325,plain,
! [Q_1674,P_1675] : coll(Q_1674,Q_1674,P_1675),
inference(resolution,[status(thm)],[c_8219,c_2]) ).
tff(c_394,plain,
! [C_609] :
( coll(C_609,'#skF_23','#skF_22')
| ~ coll('#skF_22','#skF_24',C_609) ),
inference(resolution,[status(thm)],[c_252,c_351]) ).
tff(c_397,plain,
coll('#skF_23','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_252,c_394]) ).
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_404,plain,
! [C_9] :
( coll(C_9,'#skF_22','#skF_23')
| ~ coll('#skF_23','#skF_23',C_9) ),
inference(resolution,[status(thm)],[c_397,c_6]) ).
tff(c_8336,plain,
! [C_9] : coll(C_9,'#skF_22','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_8325,c_404]) ).
tff(c_945,plain,
~ coll('#skF_27','#skF_22','#skF_23'),
inference(splitLeft,[status(thm)],[c_806]) ).
tff(c_8424,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8336,c_945]) ).
tff(c_8425,plain,
perp('#skF_22','#skF_21','#skF_21','#skF_23'),
inference(splitRight,[status(thm)],[c_806]) ).
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_51729,plain,
perp('#skF_22','#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_8425,c_14]) ).
tff(c_52039,plain,
perp('#skF_23','#skF_21','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_51729,c_16]) ).
tff(c_116693,plain,
! [A_6050,B_6051] :
( para(A_6050,B_6051,'#skF_21','#skF_23')
| ~ perp(A_6050,B_6051,'#skF_22','#skF_21') ),
inference(resolution,[status(thm)],[c_8425,c_116607]) ).
tff(c_116704,plain,
para('#skF_23','#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_52039,c_116693]) ).
tff(c_116846,plain,
para('#skF_23','#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_116704,c_8]) ).
tff(c_116933,plain,
coll('#skF_23','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_116846,c_134]) ).
tff(c_116941,plain,
coll('#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_116933,c_4]) ).
tff(c_116956,plain,
coll('#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_116941,c_2]) ).
tff(c_117015,plain,
! [C_9] :
( coll(C_9,'#skF_23','#skF_21')
| ~ coll('#skF_21','#skF_21',C_9) ),
inference(resolution,[status(thm)],[c_116956,c_6]) ).
tff(c_293342,plain,
coll('#skF_25','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_293321,c_117015]) ).
tff(c_293442,plain,
coll('#skF_25','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_293342,c_2]) ).
tff(c_293448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_852,c_293442]) ).
tff(c_293450,plain,
coll('#skF_25','#skF_21','#skF_23'),
inference(splitRight,[status(thm)],[c_807]) ).
tff(c_293607,plain,
! [C_12697] :
( coll(C_12697,'#skF_23','#skF_25')
| ~ coll('#skF_25','#skF_21',C_12697) ),
inference(resolution,[status(thm)],[c_293450,c_6]) ).
tff(c_293610,plain,
coll('#skF_23','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_293450,c_293607]) ).
tff(c_293624,plain,
coll('#skF_25','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_293610,c_404]) ).
tff(c_293657,plain,
coll('#skF_25','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_293624,c_2]) ).
tff(c_293459,plain,
coll('#skF_25','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_293450,c_2]) ).
tff(c_294172,plain,
! [C_12730] :
( coll(C_12730,'#skF_21','#skF_25')
| ~ coll('#skF_25','#skF_23',C_12730) ),
inference(resolution,[status(thm)],[c_293459,c_6]) ).
tff(c_294181,plain,
coll('#skF_22','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_293657,c_294172]) ).
tff(c_294250,plain,
coll('#skF_21','#skF_22','#skF_25'),
inference(resolution,[status(thm)],[c_294181,c_4]) ).
tff(c_294414,plain,
coll('#skF_21','#skF_25','#skF_22'),
inference(resolution,[status(thm)],[c_294250,c_2]) ).
tff(c_294185,plain,
coll('#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_293459,c_294172]) ).
tff(c_294195,plain,
coll('#skF_21','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_294185,c_2]) ).
tff(c_295038,plain,
! [C_12782] :
( coll(C_12782,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_25',C_12782) ),
inference(resolution,[status(thm)],[c_294195,c_6]) ).
tff(c_295049,plain,
coll('#skF_22','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_294414,c_295038]) ).
tff(c_295105,plain,
coll('#skF_21','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_295049,c_4]) ).
tff(c_295131,plain,
coll('#skF_21','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_295105,c_2]) ).
tff(c_293449,plain,
perp('#skF_21','#skF_24','#skF_24','#skF_23'),
inference(splitRight,[status(thm)],[c_807]) ).
tff(c_293518,plain,
perp('#skF_24','#skF_23','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_293449,c_16]) ).
tff(c_294685,plain,
! [E_12758,C_12759,A_12757,D_12761,B_12762,F_12760] :
( para(A_12757,B_12762,E_12758,F_12760)
| ~ perp(C_12759,D_12761,E_12758,F_12760)
| ~ perp(A_12757,B_12762,C_12759,D_12761) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_298169,plain,
! [A_13004,B_13005] :
( para(A_13004,B_13005,'#skF_21','#skF_24')
| ~ perp(A_13004,B_13005,'#skF_24','#skF_23') ),
inference(resolution,[status(thm)],[c_293518,c_294685]) ).
tff(c_298191,plain,
para('#skF_21','#skF_24','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_293449,c_298169]) ).
tff(c_298518,plain,
! [A_13024,B_13025,P_13026,Q_13027] :
( cyclic(A_13024,B_13025,P_13026,Q_13027)
| ~ coll(P_13026,Q_13027,B_13025)
| ~ eqangle(P_13026,A_13024,P_13026,B_13025,Q_13027,A_13024,Q_13027,B_13025) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_312144,plain,
! [D_13595,Q_13596,P_13597] :
( cyclic(D_13595,Q_13596,P_13597,P_13597)
| ~ coll(P_13597,P_13597,Q_13596)
| ~ para(P_13597,D_13595,P_13597,D_13595) ),
inference(resolution,[status(thm)],[c_80,c_298518]) ).
tff(c_312193,plain,
! [Q_13599] :
( cyclic('#skF_24',Q_13599,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_13599) ),
inference(resolution,[status(thm)],[c_298191,c_312144]) ).
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_312443,plain,
! [Q_13609] :
( cyclic('#skF_24','#skF_21',Q_13609,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_13609) ),
inference(resolution,[status(thm)],[c_312193,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_312989,plain,
! [Q_13624] :
( cyclic('#skF_24','#skF_21','#skF_21',Q_13624)
| ~ coll('#skF_21','#skF_21',Q_13624) ),
inference(resolution,[status(thm)],[c_312443,c_28]) ).
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_313010,plain,
! [Q_13624] :
( cyclic('#skF_21','#skF_24','#skF_21',Q_13624)
| ~ coll('#skF_21','#skF_21',Q_13624) ),
inference(resolution,[status(thm)],[c_312989,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_304000,plain,
! [C_13305,A_13301,B_13302,O_13304,X_13303] :
( perp(O_13304,A_13301,A_13301,X_13303)
| ~ eqangle(A_13301,X_13303,A_13301,B_13302,C_13305,A_13301,C_13305,B_13302)
| ~ circle(O_13304,A_13301,B_13302,C_13305) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_315044,plain,
! [O_13690,A_13691,B_13692,Q_13693] :
( perp(O_13690,A_13691,A_13691,A_13691)
| ~ circle(O_13690,A_13691,B_13692,Q_13693)
| ~ cyclic(A_13691,B_13692,A_13691,Q_13693) ),
inference(resolution,[status(thm)],[c_82,c_304000]) ).
tff(c_315057,plain,
( perp('#skF_26','#skF_21','#skF_21','#skF_21')
| ~ cyclic('#skF_21','#skF_24','#skF_21','#skF_22') ),
inference(resolution,[status(thm)],[c_232,c_315044]) ).
tff(c_315119,plain,
~ cyclic('#skF_21','#skF_24','#skF_21','#skF_22'),
inference(splitLeft,[status(thm)],[c_315057]) ).
tff(c_315122,plain,
~ coll('#skF_21','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_313010,c_315119]) ).
tff(c_315126,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_295131,c_315122]) ).
tff(c_315127,plain,
perp('#skF_26','#skF_21','#skF_21','#skF_21'),
inference(splitRight,[status(thm)],[c_315057]) ).
tff(c_315161,plain,
perp('#skF_21','#skF_21','#skF_26','#skF_21'),
inference(resolution,[status(thm)],[c_315127,c_16]) ).
tff(c_315202,plain,
perp('#skF_21','#skF_21','#skF_21','#skF_26'),
inference(resolution,[status(thm)],[c_315161,c_14]) ).
tff(c_315367,plain,
perp('#skF_21','#skF_26','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_315202,c_16]) ).
tff(c_293458,plain,
coll('#skF_21','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_293450,c_4]) ).
tff(c_293467,plain,
! [C_9] :
( coll(C_9,'#skF_23','#skF_21')
| ~ coll('#skF_21','#skF_25',C_9) ),
inference(resolution,[status(thm)],[c_293458,c_6]) ).
tff(c_294204,plain,
coll('#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_294195,c_293467]) ).
tff(c_294226,plain,
coll('#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_294204,c_2]) ).
tff(c_315059,plain,
( perp('#skF_25','#skF_21','#skF_21','#skF_21')
| ~ cyclic('#skF_21','#skF_24','#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_234,c_315044]) ).
tff(c_315438,plain,
~ cyclic('#skF_21','#skF_24','#skF_21','#skF_23'),
inference(splitLeft,[status(thm)],[c_315059]) ).
tff(c_315441,plain,
~ coll('#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_313010,c_315438]) ).
tff(c_315445,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_294226,c_315441]) ).
tff(c_315446,plain,
perp('#skF_25','#skF_21','#skF_21','#skF_21'),
inference(splitRight,[status(thm)],[c_315059]) ).
tff(c_315480,plain,
perp('#skF_21','#skF_21','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_315446,c_16]) ).
tff(c_327705,plain,
! [A_14067,B_14068] :
( para(A_14067,B_14068,'#skF_25','#skF_21')
| ~ perp(A_14067,B_14068,'#skF_21','#skF_21') ),
inference(resolution,[status(thm)],[c_315480,c_18]) ).
tff(c_327836,plain,
para('#skF_21','#skF_26','#skF_25','#skF_21'),
inference(resolution,[status(thm)],[c_315367,c_327705]) ).
tff(c_327987,plain,
para('#skF_21','#skF_26','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_327836,c_8]) ).
tff(c_328190,plain,
coll('#skF_21','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_327987,c_134]) ).
tff(c_328228,plain,
coll('#skF_21','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_328190,c_2]) ).
tff(c_294463,plain,
! [C_9] :
( coll(C_9,'#skF_22','#skF_21')
| ~ coll('#skF_21','#skF_25',C_9) ),
inference(resolution,[status(thm)],[c_294414,c_6]) ).
tff(c_328255,plain,
coll('#skF_26','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_328228,c_294463]) ).
tff(c_328657,plain,
coll('#skF_26','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_328255,c_2]) ).
tff(c_328663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293491,c_328657]) ).
tff(c_328665,plain,
coll('#skF_26','#skF_21','#skF_22'),
inference(splitRight,[status(thm)],[c_805]) ).
tff(c_328674,plain,
coll('#skF_26','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_328665,c_2]) ).
tff(c_330523,plain,
! [C_14195] :
( coll(C_14195,'#skF_21','#skF_26')
| ~ coll('#skF_26','#skF_22',C_14195) ),
inference(resolution,[status(thm)],[c_328674,c_6]) ).
tff(c_330536,plain,
coll('#skF_21','#skF_21','#skF_26'),
inference(resolution,[status(thm)],[c_328674,c_330523]) ).
tff(c_330562,plain,
coll('#skF_21','#skF_26','#skF_21'),
inference(resolution,[status(thm)],[c_330536,c_2]) ).
tff(c_328673,plain,
coll('#skF_21','#skF_26','#skF_22'),
inference(resolution,[status(thm)],[c_328665,c_4]) ).
tff(c_328681,plain,
! [C_9] :
( coll(C_9,'#skF_22','#skF_21')
| ~ coll('#skF_21','#skF_26',C_9) ),
inference(resolution,[status(thm)],[c_328673,c_6]) ).
tff(c_330571,plain,
coll('#skF_21','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_330562,c_328681]) ).
tff(c_330584,plain,
coll('#skF_21','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_330571,c_2]) ).
tff(c_328664,plain,
perp('#skF_21','#skF_24','#skF_24','#skF_22'),
inference(splitRight,[status(thm)],[c_805]) ).
tff(c_328777,plain,
perp('#skF_24','#skF_22','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_328664,c_16]) ).
tff(c_329883,plain,
! [B_14163,F_14161,D_14162,A_14158,C_14160,E_14159] :
( para(A_14158,B_14163,E_14159,F_14161)
| ~ perp(C_14160,D_14162,E_14159,F_14161)
| ~ perp(A_14158,B_14163,C_14160,D_14162) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_337258,plain,
! [A_14581,B_14582] :
( para(A_14581,B_14582,'#skF_21','#skF_24')
| ~ perp(A_14581,B_14582,'#skF_24','#skF_22') ),
inference(resolution,[status(thm)],[c_328777,c_329883]) ).
tff(c_337284,plain,
para('#skF_21','#skF_24','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_328664,c_337258]) ).
tff(c_333783,plain,
! [A_14388,B_14389,P_14390,Q_14391] :
( cyclic(A_14388,B_14389,P_14390,Q_14391)
| ~ coll(P_14390,Q_14391,B_14389)
| ~ eqangle(P_14390,A_14388,P_14390,B_14389,Q_14391,A_14388,Q_14391,B_14389) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_349875,plain,
! [D_15110,Q_15111,P_15112] :
( cyclic(D_15110,Q_15111,P_15112,P_15112)
| ~ coll(P_15112,P_15112,Q_15111)
| ~ para(P_15112,D_15110,P_15112,D_15110) ),
inference(resolution,[status(thm)],[c_80,c_333783]) ).
tff(c_349950,plain,
! [Q_15113] :
( cyclic('#skF_24',Q_15113,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_15113) ),
inference(resolution,[status(thm)],[c_337284,c_349875]) ).
tff(c_350252,plain,
! [Q_15127] :
( cyclic('#skF_24','#skF_21',Q_15127,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_15127) ),
inference(resolution,[status(thm)],[c_349950,c_30]) ).
tff(c_351583,plain,
! [Q_15172] :
( cyclic('#skF_21','#skF_24',Q_15172,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_15172) ),
inference(resolution,[status(thm)],[c_350252,c_32]) ).
tff(c_351602,plain,
! [Q_15172] :
( cyclic('#skF_21','#skF_24','#skF_21',Q_15172)
| ~ coll('#skF_21','#skF_21',Q_15172) ),
inference(resolution,[status(thm)],[c_351583,c_28]) ).
tff(c_336577,plain,
! [O_14548,B_14546,X_14547,C_14549,A_14545] :
( perp(O_14548,A_14545,A_14545,X_14547)
| ~ eqangle(A_14545,X_14547,A_14545,B_14546,C_14549,A_14545,C_14549,B_14546)
| ~ circle(O_14548,A_14545,B_14546,C_14549) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_353862,plain,
! [O_15261,A_15262,B_15263,Q_15264] :
( perp(O_15261,A_15262,A_15262,A_15262)
| ~ circle(O_15261,A_15262,B_15263,Q_15264)
| ~ cyclic(A_15262,B_15263,A_15262,Q_15264) ),
inference(resolution,[status(thm)],[c_82,c_336577]) ).
tff(c_353875,plain,
( perp('#skF_26','#skF_21','#skF_21','#skF_21')
| ~ cyclic('#skF_21','#skF_24','#skF_21','#skF_22') ),
inference(resolution,[status(thm)],[c_232,c_353862]) ).
tff(c_353935,plain,
~ cyclic('#skF_21','#skF_24','#skF_21','#skF_22'),
inference(splitLeft,[status(thm)],[c_353875]) ).
tff(c_353938,plain,
~ coll('#skF_21','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_351602,c_353935]) ).
tff(c_353942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_330584,c_353938]) ).
tff(c_353944,plain,
cyclic('#skF_21','#skF_24','#skF_21','#skF_22'),
inference(splitRight,[status(thm)],[c_353875]) ).
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_356318,plain,
! [D_15311] :
( cyclic('#skF_24','#skF_21',D_15311,'#skF_22')
| ~ cyclic('#skF_21','#skF_24','#skF_21',D_15311) ),
inference(resolution,[status(thm)],[c_353944,c_34]) ).
tff(c_356354,plain,
cyclic('#skF_24','#skF_21','#skF_22','#skF_22'),
inference(resolution,[status(thm)],[c_353944,c_356318]) ).
tff(c_356393,plain,
cyclic('#skF_21','#skF_24','#skF_22','#skF_22'),
inference(resolution,[status(thm)],[c_356354,c_32]) ).
tff(c_329492,plain,
! [D_14139,A_14137,B_14136,Q_14134,P_14138,C_14135] :
( para(A_14137,B_14136,C_14135,D_14139)
| ~ eqangle(A_14137,B_14136,P_14138,Q_14134,C_14135,D_14139,P_14138,Q_14134) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_329506,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_329492]) ).
tff(c_356423,plain,
para('#skF_22','#skF_21','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_356393,c_329506]) ).
tff(c_333800,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_333783]) ).
tff(c_360676,plain,
! [Q_15411] :
( cyclic('#skF_21',Q_15411,'#skF_22','#skF_22')
| ~ coll('#skF_22','#skF_22',Q_15411) ),
inference(resolution,[status(thm)],[c_356423,c_333800]) ).
tff(c_360778,plain,
! [Q_15418] :
( cyclic('#skF_21','#skF_22',Q_15418,'#skF_22')
| ~ coll('#skF_22','#skF_22',Q_15418) ),
inference(resolution,[status(thm)],[c_360676,c_30]) ).
tff(c_360899,plain,
! [Q_15427] :
( cyclic('#skF_21','#skF_22','#skF_22',Q_15427)
| ~ coll('#skF_22','#skF_22',Q_15427) ),
inference(resolution,[status(thm)],[c_360778,c_28]) ).
tff(c_361571,plain,
! [Q_15467] :
( cyclic('#skF_22','#skF_21','#skF_22',Q_15467)
| ~ coll('#skF_22','#skF_22',Q_15467) ),
inference(resolution,[status(thm)],[c_360899,c_32]) ).
tff(c_353876,plain,
( perp('#skF_27','#skF_22','#skF_22','#skF_22')
| ~ cyclic('#skF_22','#skF_21','#skF_22','#skF_23') ),
inference(resolution,[status(thm)],[c_230,c_353862]) ).
tff(c_354106,plain,
~ cyclic('#skF_22','#skF_21','#skF_22','#skF_23'),
inference(splitLeft,[status(thm)],[c_353876]) ).
tff(c_361574,plain,
~ coll('#skF_22','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_361571,c_354106]) ).
tff(c_361591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_361574]) ).
tff(c_361592,plain,
perp('#skF_27','#skF_22','#skF_22','#skF_22'),
inference(splitRight,[status(thm)],[c_353876]) ).
tff(c_361619,plain,
perp('#skF_22','#skF_22','#skF_27','#skF_22'),
inference(resolution,[status(thm)],[c_361592,c_16]) ).
tff(c_382408,plain,
! [A_16100,B_16101] :
( para(A_16100,B_16101,'#skF_27','#skF_22')
| ~ perp(A_16100,B_16101,'#skF_22','#skF_22') ),
inference(resolution,[status(thm)],[c_361619,c_18]) ).
tff(c_382586,plain,
para('#skF_27','#skF_22','#skF_27','#skF_22'),
inference(resolution,[status(thm)],[c_361592,c_382408]) ).
tff(c_382667,plain,
coll('#skF_27','#skF_22','#skF_22'),
inference(resolution,[status(thm)],[c_382586,c_134]) ).
tff(c_382675,plain,
coll('#skF_22','#skF_27','#skF_22'),
inference(resolution,[status(thm)],[c_382667,c_4]) ).
tff(c_382687,plain,
coll('#skF_22','#skF_22','#skF_27'),
inference(resolution,[status(thm)],[c_382675,c_2]) ).
tff(c_533,plain,
! [C_9] :
( coll(C_9,'#skF_23','#skF_22')
| ~ coll('#skF_22','#skF_22',C_9) ),
inference(resolution,[status(thm)],[c_480,c_6]) ).
tff(c_382712,plain,
coll('#skF_27','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_382687,c_533]) ).
tff(c_382817,plain,
coll('#skF_27','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_382712,c_2]) ).
tff(c_382823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_328737,c_382817]) ).
tff(c_382824,plain,
perp('#skF_22','#skF_21','#skF_21','#skF_23'),
inference(splitRight,[status(thm)],[c_806]) ).
tff(c_382934,plain,
perp('#skF_21','#skF_23','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_382824,c_16]) ).
tff(c_383257,plain,
perp('#skF_21','#skF_23','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_382934,c_14]) ).
tff(c_384103,plain,
perp('#skF_21','#skF_22','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_383257,c_16]) ).
tff(c_384492,plain,
! [D_16204,F_16203,A_16200,B_16205,E_16201,C_16202] :
( para(A_16200,B_16205,E_16201,F_16203)
| ~ perp(C_16202,D_16204,E_16201,F_16203)
| ~ perp(A_16200,B_16205,C_16202,D_16204) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_401858,plain,
! [A_17047,B_17048] :
( para(A_17047,B_17048,'#skF_22','#skF_21')
| ~ perp(A_17047,B_17048,'#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_382934,c_384492]) ).
tff(c_401919,plain,
para('#skF_21','#skF_22','#skF_22','#skF_21'),
inference(resolution,[status(thm)],[c_384103,c_401858]) ).
tff(c_401959,plain,
para('#skF_21','#skF_22','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_401919,c_8]) ).
tff(c_405242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405229,c_401959]) ).
tff(c_405291,plain,
! [P_17139,Q_17140] : para(P_17139,Q_17140,P_17139,Q_17140),
inference(splitRight,[status(thm)],[c_404672]) ).
tff(c_405433,plain,
! [P_17141,Q_17142] : coll(P_17141,Q_17142,Q_17142),
inference(resolution,[status(thm)],[c_405291,c_134]) ).
tff(c_406966,plain,
! [Q_17143,P_17144] : coll(Q_17143,P_17144,Q_17143),
inference(resolution,[status(thm)],[c_405433,c_4]) ).
tff(c_408457,plain,
! [Q_17143,P_17144] : coll(Q_17143,Q_17143,P_17144),
inference(resolution,[status(thm)],[c_406966,c_2]) ).
tff(c_408588,plain,
! [Q_17145,P_17146] : coll(Q_17145,Q_17145,P_17146),
inference(resolution,[status(thm)],[c_406966,c_2]) ).
tff(c_408590,plain,
! [C_9,P_17146,Q_17145] :
( coll(C_9,P_17146,Q_17145)
| ~ coll(Q_17145,Q_17145,C_9) ),
inference(resolution,[status(thm)],[c_408588,c_6]) ).
tff(c_408597,plain,
! [C_9,P_17146,Q_17145] : coll(C_9,P_17146,Q_17145),
inference(demodulation,[status(thm),theory(equality)],[c_408457,c_408590]) ).
tff(c_405243,plain,
! [P_17097,Q_17096] : para(P_17097,Q_17096,P_17097,Q_17096),
inference(splitRight,[status(thm)],[c_404672]) ).
tff(c_386145,plain,
! [P_16289,B_16284,U_16283,Q_16287,A_16288,C_16285,D_16286,V_16290] :
( eqangle(A_16288,B_16284,P_16289,Q_16287,C_16285,D_16286,U_16283,V_16290)
| ~ eqangle(A_16288,B_16284,C_16285,D_16286,P_16289,Q_16287,U_16283,V_16290) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_410541,plain,
! [D_17162,P_17161,B_17163,C_17164,Q_17160,A_17159] :
( eqangle(A_17159,B_17163,C_17164,D_17162,P_17161,Q_17160,P_17161,Q_17160)
| ~ para(A_17159,B_17163,C_17164,D_17162) ),
inference(resolution,[status(thm)],[c_80,c_386145]) ).
tff(c_86,plain,
! [A_250,B_251,P_252,Q_253] :
( cyclic(A_250,B_251,P_252,Q_253)
| ~ coll(P_252,Q_253,B_251)
| ~ eqangle(P_252,A_250,P_252,B_251,Q_253,A_250,Q_253,B_251) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_410594,plain,
! [Q_17160,C_17164,P_17161] :
( cyclic(Q_17160,Q_17160,C_17164,P_17161)
| ~ coll(C_17164,P_17161,Q_17160)
| ~ para(C_17164,Q_17160,C_17164,Q_17160) ),
inference(resolution,[status(thm)],[c_410541,c_86]) ).
tff(c_410640,plain,
! [Q_17160,C_17164,P_17161] :
( cyclic(Q_17160,Q_17160,C_17164,P_17161)
| ~ coll(C_17164,P_17161,Q_17160) ),
inference(demodulation,[status(thm),theory(equality)],[c_405243,c_410594]) ).
tff(c_413146,plain,
! [Q_17160,C_17164,P_17161] : cyclic(Q_17160,Q_17160,C_17164,P_17161),
inference(demodulation,[status(thm),theory(equality)],[c_408597,c_410640]) ).
tff(c_413148,plain,
! [Q_17216,C_17217,P_17218] : cyclic(Q_17216,Q_17216,C_17217,P_17218),
inference(demodulation,[status(thm),theory(equality)],[c_408597,c_410640]) ).
tff(c_413152,plain,
! [Q_17216,C_17217,D_72,P_17218] :
( cyclic(Q_17216,C_17217,D_72,P_17218)
| ~ cyclic(Q_17216,Q_17216,C_17217,D_72) ),
inference(resolution,[status(thm)],[c_413148,c_34]) ).
tff(c_413162,plain,
! [Q_17216,C_17217,D_72,P_17218] : cyclic(Q_17216,C_17217,D_72,P_17218),
inference(demodulation,[status(thm),theory(equality)],[c_413146,c_413152]) ).
tff(c_228,plain,
~ cyclic('#skF_21','#skF_26','#skF_27','#skF_25'),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_413200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_413162,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO601+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:16:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 243.79/222.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 243.94/222.22
% 243.94/222.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 244.17/222.28
% 244.17/222.28 Inference rules
% 244.17/222.28 ----------------------
% 244.17/222.28 #Ref : 0
% 244.17/222.28 #Sup : 103660
% 244.17/222.28 #Fact : 0
% 244.17/222.28 #Define : 0
% 244.17/222.28 #Split : 418
% 244.17/222.28 #Chain : 0
% 244.17/222.28 #Close : 0
% 244.17/222.28
% 244.17/222.28 Ordering : KBO
% 244.17/222.28
% 244.17/222.28 Simplification rules
% 244.17/222.28 ----------------------
% 244.17/222.28 #Subsume : 10984
% 244.17/222.28 #Demod : 36566
% 244.17/222.28 #Tautology : 29514
% 244.17/222.28 #SimpNegUnit : 1480
% 244.17/222.28 #BackRed : 107
% 244.17/222.28
% 244.17/222.28 #Partial instantiations: 0
% 244.17/222.28 #Strategies tried : 1
% 244.17/222.28
% 244.17/222.28 Timing (in seconds)
% 244.17/222.28 ----------------------
% 244.17/222.28 Preprocessing : 0.73
% 244.17/222.28 Parsing : 0.41
% 244.17/222.28 CNF conversion : 0.07
% 244.17/222.28 Main loop : 220.42
% 244.17/222.28 Inferencing : 44.73
% 244.17/222.28 Reduction : 102.07
% 244.17/222.28 Demodulation : 83.41
% 244.17/222.28 BG Simplification : 0.51
% 244.17/222.28 Subsumption : 61.05
% 244.17/222.28 Abstraction : 0.99
% 244.17/222.28 MUC search : 0.00
% 244.17/222.28 Cooper : 0.00
% 244.17/222.28 Total : 221.25
% 244.17/222.28 Index Insertion : 0.00
% 244.17/222.28 Index Deletion : 0.00
% 244.17/222.28 Index Matching : 0.00
% 244.17/222.28 BG Taut test : 0.00
%------------------------------------------------------------------------------