TSTP Solution File: GEO603+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO603+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 : n010.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 35.82s 20.83s
% Output : CNFRefutation 35.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 58
% Syntax : Number of formulae : 188 ( 71 unt; 38 typ; 0 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 178 ( 78 ~; 70 |; 10 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 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 : 27 ( 27 usr; 7 con; 0-7 aty)
% Number of variables : 298 (; 298 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ eqratio > eqangle > simtri > contri > perp > para > cyclic > cong > circle > midp > coll > #nlpp > #skF_25 > #skF_10 > #skF_14 > #skF_13 > #skF_12 > #skF_5 > #skF_26 > #skF_15 > #skF_2 > #skF_19 > #skF_16 > #skF_8 > #skF_11 > #skF_21 > #skF_4 > #skF_22 > #skF_17 > #skF_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] :
( ( circle(D,A,B,C)
& coll(E,A,B)
& para(B,C,F,E)
& coll(F,A,C)
& circle(G,A,E,F) )
=> coll(A,G,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).
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_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_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_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_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_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_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_336,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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_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_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_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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
tff(c_228,plain,
~ coll('#skF_21','#skF_27','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
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_6360,plain,
! [A_1019,V_1015,P_1020,C_1014,B_1016,D_1013,Q_1017,U_1018] :
( eqangle(C_1014,D_1013,A_1019,B_1016,U_1018,V_1015,P_1020,Q_1017)
| ~ eqangle(A_1019,B_1016,C_1014,D_1013,P_1020,Q_1017,U_1018,V_1015) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_27502,plain,
! [C_1760,A_1755,P_1757,B_1759,Q_1756,D_1758] :
( eqangle(P_1757,Q_1756,A_1755,B_1759,P_1757,Q_1756,C_1760,D_1758)
| ~ para(A_1755,B_1759,C_1760,D_1758) ),
inference(resolution,[status(thm)],[c_80,c_6360]) ).
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_27596,plain,
! [P_1757,Q_1756,C_1760,D_1758] :
( para(P_1757,Q_1756,P_1757,Q_1756)
| ~ para(C_1760,D_1758,C_1760,D_1758) ),
inference(resolution,[status(thm)],[c_27502,c_78]) ).
tff(c_27597,plain,
! [C_1760,D_1758] : ~ para(C_1760,D_1758,C_1760,D_1758),
inference(splitLeft,[status(thm)],[c_27596]) ).
tff(c_232,plain,
coll('#skF_26','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_452,plain,
! [C_598,D_599,A_600,B_601] :
( coll(C_598,D_599,A_600)
| ~ coll(A_600,B_601,D_599)
| ~ coll(A_600,B_601,C_598) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_489,plain,
! [C_602] :
( coll(C_602,'#skF_23','#skF_26')
| ~ coll('#skF_26','#skF_21',C_602) ),
inference(resolution,[status(thm)],[c_232,c_452]) ).
tff(c_492,plain,
coll('#skF_23','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_232,c_489]) ).
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_502,plain,
coll('#skF_23','#skF_26','#skF_23'),
inference(resolution,[status(thm)],[c_492,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_1840,plain,
! [C_689] :
( coll(C_689,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_26',C_689) ),
inference(resolution,[status(thm)],[c_502,c_6]) ).
tff(c_1855,plain,
coll('#skF_23','#skF_23','#skF_23'),
inference(resolution,[status(thm)],[c_502,c_1840]) ).
tff(c_234,plain,
para('#skF_22','#skF_23','#skF_26','#skF_25'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_335,plain,
! [C_545,D_546,A_547,B_548] :
( para(C_545,D_546,A_547,B_548)
| ~ para(A_547,B_548,C_545,D_546) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_338,plain,
para('#skF_26','#skF_25','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_234,c_335]) ).
tff(c_384,plain,
! [A_576,B_577,D_578,C_579] :
( para(A_576,B_577,D_578,C_579)
| ~ para(A_576,B_577,C_579,D_578) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_389,plain,
para('#skF_26','#skF_25','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_338,c_384]) ).
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_404,plain,
para('#skF_23','#skF_22','#skF_26','#skF_25'),
inference(resolution,[status(thm)],[c_389,c_10]) ).
tff(c_3692,plain,
! [F_817,E_814,B_815,A_816,D_818,C_813] :
( para(A_816,B_815,E_814,F_817)
| ~ para(C_813,D_818,E_814,F_817)
| ~ para(A_816,B_815,C_813,D_818) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_4328,plain,
! [A_869,B_870] :
( para(A_869,B_870,'#skF_22','#skF_23')
| ~ para(A_869,B_870,'#skF_26','#skF_25') ),
inference(resolution,[status(thm)],[c_338,c_3692]) ).
tff(c_4339,plain,
para('#skF_23','#skF_22','#skF_22','#skF_23'),
inference(resolution,[status(thm)],[c_404,c_4328]) ).
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_4363,plain,
para('#skF_23','#skF_22','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_4339,c_8]) ).
tff(c_5470,plain,
! [A_923,B_924,P_925,Q_926] :
( cyclic(A_923,B_924,P_925,Q_926)
| ~ coll(P_925,Q_926,B_924)
| ~ eqangle(P_925,A_923,P_925,B_924,Q_926,A_923,Q_926,B_924) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_7432,plain,
! [D_1102,Q_1103,P_1104] :
( cyclic(D_1102,Q_1103,P_1104,P_1104)
| ~ coll(P_1104,P_1104,Q_1103)
| ~ para(P_1104,D_1102,P_1104,D_1102) ),
inference(resolution,[status(thm)],[c_80,c_5470]) ).
tff(c_9149,plain,
! [Q_1193] :
( cyclic('#skF_22',Q_1193,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_1193) ),
inference(resolution,[status(thm)],[c_4363,c_7432]) ).
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_9785,plain,
! [Q_1228] :
( cyclic('#skF_22','#skF_23',Q_1228,'#skF_23')
| ~ coll('#skF_23','#skF_23',Q_1228) ),
inference(resolution,[status(thm)],[c_9149,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_7126,plain,
! [P_1063,B_1064,A_1065,Q_1066] :
( eqangle(P_1063,B_1064,P_1063,A_1065,Q_1066,B_1064,Q_1066,A_1065)
| ~ cyclic(A_1065,B_1064,P_1063,Q_1066) ),
inference(resolution,[status(thm)],[c_82,c_6360]) ).
tff(c_7145,plain,
! [Q_1066,B_1064,A_1065] :
( para(Q_1066,B_1064,Q_1066,B_1064)
| ~ cyclic(A_1065,B_1064,Q_1066,Q_1066) ),
inference(resolution,[status(thm)],[c_7126,c_78]) ).
tff(c_9788,plain,
( para('#skF_23','#skF_23','#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23','#skF_23') ),
inference(resolution,[status(thm)],[c_9785,c_7145]) ).
tff(c_9802,plain,
para('#skF_23','#skF_23','#skF_23','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_1855,c_9788]) ).
tff(c_27633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27597,c_9802]) ).
tff(c_27674,plain,
! [P_1761,Q_1762] : para(P_1761,Q_1762,P_1761,Q_1762),
inference(splitRight,[status(thm)],[c_27596]) ).
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_27864,plain,
! [P_1763,Q_1764] : coll(P_1763,Q_1764,Q_1764),
inference(resolution,[status(thm)],[c_27674,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_28424,plain,
! [Q_1765,P_1766] : coll(Q_1765,P_1766,Q_1765),
inference(resolution,[status(thm)],[c_27864,c_4]) ).
tff(c_28945,plain,
! [Q_1765,P_1766] : coll(Q_1765,Q_1765,P_1766),
inference(resolution,[status(thm)],[c_28424,c_2]) ).
tff(c_254,plain,
! [B_526,A_527,C_528] :
( coll(B_526,A_527,C_528)
| ~ coll(A_527,B_526,C_528) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_265,plain,
coll('#skF_21','#skF_26','#skF_23'),
inference(resolution,[status(thm)],[c_232,c_254]) ).
tff(c_755,plain,
! [C_621] :
( coll(C_621,'#skF_23','#skF_21')
| ~ coll('#skF_21','#skF_26',C_621) ),
inference(resolution,[status(thm)],[c_265,c_452]) ).
tff(c_761,plain,
coll('#skF_23','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_265,c_755]) ).
tff(c_768,plain,
! [C_9] :
( coll(C_9,'#skF_21','#skF_23')
| ~ coll('#skF_23','#skF_23',C_9) ),
inference(resolution,[status(thm)],[c_761,c_6]) ).
tff(c_29327,plain,
! [C_9] : coll(C_9,'#skF_21','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_28945,c_768]) ).
tff(c_238,plain,
circle('#skF_24','#skF_21','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_946,plain,
! [A_629,B_630,C_631,O_632] :
( perp(A_629,B_630,B_630,C_631)
| ~ coll(O_632,A_629,C_631)
| ~ circle(O_632,A_629,B_630,C_631) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_952,plain,
( perp('#skF_21','#skF_22','#skF_22','#skF_23')
| ~ coll('#skF_24','#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_238,c_946]) ).
tff(c_994,plain,
~ coll('#skF_24','#skF_21','#skF_23'),
inference(splitLeft,[status(thm)],[c_952]) ).
tff(c_29871,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29327,c_994]) ).
tff(c_29873,plain,
coll('#skF_24','#skF_21','#skF_23'),
inference(splitRight,[status(thm)],[c_952]) ).
tff(c_68125,plain,
! [C_3268] :
( coll(C_3268,'#skF_23','#skF_24')
| ~ coll('#skF_24','#skF_21',C_3268) ),
inference(resolution,[status(thm)],[c_29873,c_6]) ).
tff(c_68128,plain,
coll('#skF_23','#skF_23','#skF_24'),
inference(resolution,[status(thm)],[c_29873,c_68125]) ).
tff(c_499,plain,
! [C_9] :
( coll(C_9,'#skF_26','#skF_23')
| ~ coll('#skF_23','#skF_23',C_9) ),
inference(resolution,[status(thm)],[c_492,c_6]) ).
tff(c_68137,plain,
coll('#skF_24','#skF_26','#skF_23'),
inference(resolution,[status(thm)],[c_68128,c_499]) ).
tff(c_68149,plain,
coll('#skF_26','#skF_24','#skF_23'),
inference(resolution,[status(thm)],[c_68137,c_4]) ).
tff(c_68170,plain,
coll('#skF_26','#skF_23','#skF_24'),
inference(resolution,[status(thm)],[c_68149,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_244,plain,
coll('#skF_26','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_232,c_239]) ).
tff(c_486,plain,
! [C_598] :
( coll(C_598,'#skF_21','#skF_26')
| ~ coll('#skF_26','#skF_23',C_598) ),
inference(resolution,[status(thm)],[c_244,c_452]) ).
tff(c_68247,plain,
coll('#skF_24','#skF_21','#skF_26'),
inference(resolution,[status(thm)],[c_68170,c_486]) ).
tff(c_68263,plain,
coll('#skF_21','#skF_24','#skF_26'),
inference(resolution,[status(thm)],[c_68247,c_4]) ).
tff(c_68286,plain,
coll('#skF_21','#skF_26','#skF_24'),
inference(resolution,[status(thm)],[c_68263,c_2]) ).
tff(c_36642,plain,
! [V_2177,U_2180,Q_2179,C_2176,P_2182,A_2181,B_2178,D_2175] :
( eqangle(C_2176,D_2175,A_2181,B_2178,U_2180,V_2177,P_2182,Q_2179)
| ~ eqangle(A_2181,B_2178,C_2176,D_2175,P_2182,Q_2179,U_2180,V_2177) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_49694,plain,
! [D_2784,C_2786,B_2785,Q_2782,A_2781,P_2783] :
( eqangle(P_2783,Q_2782,A_2781,B_2785,P_2783,Q_2782,C_2786,D_2784)
| ~ para(A_2781,B_2785,C_2786,D_2784) ),
inference(resolution,[status(thm)],[c_80,c_36642]) ).
tff(c_49788,plain,
! [P_2783,Q_2782,C_2786,D_2784] :
( para(P_2783,Q_2782,P_2783,Q_2782)
| ~ para(C_2786,D_2784,C_2786,D_2784) ),
inference(resolution,[status(thm)],[c_49694,c_78]) ).
tff(c_62891,plain,
! [C_2786,D_2784] : ~ para(C_2786,D_2784,C_2786,D_2784),
inference(splitLeft,[status(thm)],[c_49788]) ).
tff(c_651,plain,
! [C_617] :
( coll(C_617,'#skF_21','#skF_26')
| ~ coll('#skF_26','#skF_23',C_617) ),
inference(resolution,[status(thm)],[c_244,c_452]) ).
tff(c_658,plain,
coll('#skF_21','#skF_21','#skF_26'),
inference(resolution,[status(thm)],[c_244,c_651]) ).
tff(c_668,plain,
coll('#skF_21','#skF_26','#skF_21'),
inference(resolution,[status(thm)],[c_658,c_2]) ).
tff(c_760,plain,
coll('#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_668,c_755]) ).
tff(c_808,plain,
coll('#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_760,c_2]) ).
tff(c_29872,plain,
perp('#skF_21','#skF_22','#skF_22','#skF_23'),
inference(splitRight,[status(thm)],[c_952]) ).
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_29941,plain,
perp('#skF_22','#skF_23','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_29872,c_16]) ).
tff(c_31649,plain,
! [C_1889,E_1888,D_1891,B_1892,A_1887,F_1890] :
( para(A_1887,B_1892,E_1888,F_1890)
| ~ perp(C_1889,D_1891,E_1888,F_1890)
| ~ perp(A_1887,B_1892,C_1889,D_1891) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_39920,plain,
! [A_2389,B_2390] :
( para(A_2389,B_2390,'#skF_21','#skF_22')
| ~ perp(A_2389,B_2390,'#skF_22','#skF_23') ),
inference(resolution,[status(thm)],[c_29941,c_31649]) ).
tff(c_39959,plain,
para('#skF_21','#skF_22','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_29872,c_39920]) ).
tff(c_35890,plain,
! [A_2135,B_2136,P_2137,Q_2138] :
( cyclic(A_2135,B_2136,P_2137,Q_2138)
| ~ coll(P_2137,Q_2138,B_2136)
| ~ eqangle(P_2137,A_2135,P_2137,B_2136,Q_2138,A_2135,Q_2138,B_2136) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_48523,plain,
! [D_2728,Q_2729,P_2730] :
( cyclic(D_2728,Q_2729,P_2730,P_2730)
| ~ coll(P_2730,P_2730,Q_2729)
| ~ para(P_2730,D_2728,P_2730,D_2728) ),
inference(resolution,[status(thm)],[c_80,c_35890]) ).
tff(c_49214,plain,
! [Q_2761] :
( cyclic('#skF_22',Q_2761,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_2761) ),
inference(resolution,[status(thm)],[c_39959,c_48523]) ).
tff(c_49962,plain,
! [Q_2792] :
( cyclic('#skF_22','#skF_21',Q_2792,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_2792) ),
inference(resolution,[status(thm)],[c_49214,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_51367,plain,
! [Q_2842] :
( cyclic('#skF_22','#skF_21','#skF_21',Q_2842)
| ~ coll('#skF_21','#skF_21',Q_2842) ),
inference(resolution,[status(thm)],[c_49962,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_51387,plain,
! [Q_2842] :
( cyclic('#skF_21','#skF_22','#skF_21',Q_2842)
| ~ coll('#skF_21','#skF_21',Q_2842) ),
inference(resolution,[status(thm)],[c_51367,c_32]) ).
tff(c_37937,plain,
! [A_2251,C_2255,O_2254,B_2252,X_2253] :
( perp(O_2254,A_2251,A_2251,X_2253)
| ~ eqangle(A_2251,X_2253,A_2251,B_2252,C_2255,A_2251,C_2255,B_2252)
| ~ circle(O_2254,A_2251,B_2252,C_2255) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_54112,plain,
! [O_2936,A_2937,B_2938,Q_2939] :
( perp(O_2936,A_2937,A_2937,A_2937)
| ~ circle(O_2936,A_2937,B_2938,Q_2939)
| ~ cyclic(A_2937,B_2938,A_2937,Q_2939) ),
inference(resolution,[status(thm)],[c_82,c_37937]) ).
tff(c_54124,plain,
( perp('#skF_24','#skF_21','#skF_21','#skF_21')
| ~ cyclic('#skF_21','#skF_22','#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_238,c_54112]) ).
tff(c_54401,plain,
~ cyclic('#skF_21','#skF_22','#skF_21','#skF_23'),
inference(splitLeft,[status(thm)],[c_54124]) ).
tff(c_54404,plain,
~ coll('#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_51387,c_54401]) ).
tff(c_54408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_808,c_54404]) ).
tff(c_54410,plain,
cyclic('#skF_21','#skF_22','#skF_21','#skF_23'),
inference(splitRight,[status(thm)],[c_54124]) ).
tff(c_54454,plain,
cyclic('#skF_21','#skF_22','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_54410,c_28]) ).
tff(c_54491,plain,
cyclic('#skF_22','#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_54454,c_32]) ).
tff(c_54713,plain,
cyclic('#skF_22','#skF_23','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_54491,c_30]) ).
tff(c_54983,plain,
cyclic('#skF_23','#skF_22','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_54713,c_32]) ).
tff(c_30443,plain,
! [B_1820,Q_1818,C_1819,A_1821,D_1823,P_1822] :
( para(A_1821,B_1820,C_1819,D_1823)
| ~ eqangle(A_1821,B_1820,P_1822,Q_1818,C_1819,D_1823,P_1822,Q_1818) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_30456,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_30443]) ).
tff(c_55216,plain,
para('#skF_21','#skF_23','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_54983,c_30456]) ).
tff(c_55349,plain,
para('#skF_21','#skF_23','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_55216,c_8]) ).
tff(c_55375,plain,
para('#skF_23','#skF_21','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_55349,c_10]) ).
tff(c_55395,plain,
para('#skF_23','#skF_21','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_55375,c_8]) ).
tff(c_62923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62891,c_55395]) ).
tff(c_62960,plain,
! [P_3210,Q_3211] : para(P_3210,Q_3211,P_3210,Q_3211),
inference(splitRight,[status(thm)],[c_49788]) ).
tff(c_63213,plain,
! [P_3212,Q_3213] : coll(P_3212,Q_3213,Q_3213),
inference(resolution,[status(thm)],[c_62960,c_134]) ).
tff(c_64173,plain,
! [Q_3214,P_3215] : coll(Q_3214,P_3215,Q_3214),
inference(resolution,[status(thm)],[c_63213,c_4]) ).
tff(c_65084,plain,
! [Q_3214,P_3215] : coll(Q_3214,Q_3214,P_3215),
inference(resolution,[status(thm)],[c_64173,c_2]) ).
tff(c_665,plain,
! [C_9] :
( coll(C_9,'#skF_26','#skF_21')
| ~ coll('#skF_21','#skF_21',C_9) ),
inference(resolution,[status(thm)],[c_658,c_6]) ).
tff(c_66287,plain,
! [C_3227] : coll(C_3227,'#skF_26','#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_65084,c_665]) ).
tff(c_66396,plain,
! [C_3227] : coll(C_3227,'#skF_21','#skF_26'),
inference(resolution,[status(thm)],[c_66287,c_2]) ).
tff(c_230,plain,
circle('#skF_27','#skF_21','#skF_25','#skF_26'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_951,plain,
( perp('#skF_21','#skF_25','#skF_25','#skF_26')
| ~ coll('#skF_27','#skF_21','#skF_26') ),
inference(resolution,[status(thm)],[c_230,c_946]) ).
tff(c_29914,plain,
~ coll('#skF_27','#skF_21','#skF_26'),
inference(splitLeft,[status(thm)],[c_951]) ).
tff(c_67821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66396,c_29914]) ).
tff(c_67823,plain,
coll('#skF_27','#skF_21','#skF_26'),
inference(splitRight,[status(thm)],[c_951]) ).
tff(c_67831,plain,
coll('#skF_21','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_67823,c_4]) ).
tff(c_67842,plain,
coll('#skF_21','#skF_26','#skF_27'),
inference(resolution,[status(thm)],[c_67831,c_2]) ).
tff(c_68621,plain,
! [C_3304] :
( coll(C_3304,'#skF_27','#skF_21')
| ~ coll('#skF_21','#skF_26',C_3304) ),
inference(resolution,[status(thm)],[c_67842,c_6]) ).
tff(c_68632,plain,
coll('#skF_24','#skF_27','#skF_21'),
inference(resolution,[status(thm)],[c_68286,c_68621]) ).
tff(c_69067,plain,
coll('#skF_27','#skF_24','#skF_21'),
inference(resolution,[status(thm)],[c_68632,c_4]) ).
tff(c_69279,plain,
coll('#skF_27','#skF_21','#skF_24'),
inference(resolution,[status(thm)],[c_69067,c_2]) ).
tff(c_69483,plain,
coll('#skF_21','#skF_27','#skF_24'),
inference(resolution,[status(thm)],[c_69279,c_4]) ).
tff(c_69491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228,c_69483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO603+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
% 0.14/0.36 % Computer : n010.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 00:19:43 EDT 2023
% 0.20/0.36 % CPUTime :
% 35.82/20.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.82/20.85
% 35.82/20.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.82/20.90
% 35.82/20.90 Inference rules
% 35.82/20.90 ----------------------
% 35.82/20.90 #Ref : 0
% 35.82/20.90 #Sup : 16196
% 35.82/20.90 #Fact : 0
% 35.82/20.90 #Define : 0
% 35.82/20.90 #Split : 97
% 35.82/20.90 #Chain : 0
% 35.82/20.90 #Close : 0
% 35.82/20.90
% 35.82/20.90 Ordering : KBO
% 35.82/20.90
% 35.82/20.90 Simplification rules
% 35.82/20.90 ----------------------
% 35.82/20.90 #Subsume : 2388
% 35.82/20.90 #Demod : 10123
% 35.82/20.90 #Tautology : 7243
% 35.82/20.90 #SimpNegUnit : 201
% 35.82/20.90 #BackRed : 447
% 35.82/20.90
% 35.82/20.90 #Partial instantiations: 0
% 35.82/20.90 #Strategies tried : 1
% 35.82/20.90
% 35.82/20.90 Timing (in seconds)
% 35.82/20.90 ----------------------
% 35.82/20.91 Preprocessing : 0.74
% 35.82/20.91 Parsing : 0.42
% 35.82/20.91 CNF conversion : 0.08
% 35.82/20.91 Main loop : 19.06
% 35.82/20.91 Inferencing : 4.07
% 35.82/20.91 Reduction : 8.03
% 35.82/20.91 Demodulation : 6.18
% 35.82/20.91 BG Simplification : 0.12
% 35.82/20.91 Subsumption : 5.95
% 35.82/20.91 Abstraction : 0.15
% 35.82/20.91 MUC search : 0.00
% 35.82/20.91 Cooper : 0.00
% 35.82/20.91 Total : 19.89
% 35.82/20.91 Index Insertion : 0.00
% 35.82/20.91 Index Deletion : 0.00
% 35.82/20.91 Index Matching : 0.00
% 35.82/20.91 BG Taut test : 0.00
%------------------------------------------------------------------------------