TSTP Solution File: GEO612+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO612+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 : n004.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 10:39:21 EDT 2023
% Result : Theorem 161.58s 142.25s
% Output : CNFRefutation 161.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 59
% Syntax : Number of formulae : 159 ( 48 unt; 40 typ; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 161 ( 67 ~; 62 |; 13 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 151 ( 31 >; 120 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 29 ( 29 usr; 9 con; 0-7 aty)
% Number of variables : 289 (; 289 !; 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_29 > #skF_28 > #skF_9 > #skF_24 > #skF_27 > #skF_23 > #skF_3 > #skF_20 > #skF_7 > #skF_6 > #skF_1 > #skF_18
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(circle,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(cong,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(perp,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(cyclic,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(eqratio,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(coll,type,
coll: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(midp,type,
midp: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(contri,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(simtri,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(para,type,
para: ( $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(eqangle,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i ) > $i ).
tff(f_246,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/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_674,negated_conjecture,
~ ! [A,B,C,O,G,D,E,F,NWPNT1] :
( ( circle(O,A,B,C)
& perp(G,C,A,B)
& coll(G,A,B)
& circle(O,C,D,NWPNT1)
& coll(D,C,G)
& perp(E,D,A,C)
& coll(E,A,C)
& perp(F,D,B,C)
& coll(F,B,C) )
=> cyclic(A,E,F,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).
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_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_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_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_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_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_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_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_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_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_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_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_139426,plain,
! [D_5028,C_5029,U_5033,Q_5032,P_5035,A_5034,V_5030,B_5031] :
( eqangle(C_5029,D_5028,A_5034,B_5031,U_5033,V_5030,P_5035,Q_5032)
| ~ eqangle(A_5034,B_5031,C_5029,D_5028,P_5035,Q_5032,U_5033,V_5030) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_149667,plain,
! [A_5473,P_5475,C_5478,D_5476,Q_5474,B_5477] :
( eqangle(P_5475,Q_5474,A_5473,B_5477,P_5475,Q_5474,C_5478,D_5476)
| ~ para(A_5473,B_5477,C_5478,D_5476) ),
inference(resolution,[status(thm)],[c_80,c_139426]) ).
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_149761,plain,
! [P_5475,Q_5474,C_5478,D_5476] :
( para(P_5475,Q_5474,P_5475,Q_5474)
| ~ para(C_5478,D_5476,C_5478,D_5476) ),
inference(resolution,[status(thm)],[c_149667,c_78]) ).
tff(c_279302,plain,
! [C_5478,D_5476] : ~ para(C_5478,D_5476,C_5478,D_5476),
inference(splitLeft,[status(thm)],[c_149761]) ).
tff(c_48949,plain,
! [B_2329,D_2326,A_2332,Q_2330,U_2331,C_2327,P_2333,V_2328] :
( eqangle(C_2327,D_2326,A_2332,B_2329,U_2331,V_2328,P_2333,Q_2330)
| ~ eqangle(A_2332,B_2329,C_2327,D_2326,P_2333,Q_2330,U_2331,V_2328) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_62259,plain,
! [P_2899,D_2900,A_2897,Q_2898,B_2901,C_2902] :
( eqangle(P_2899,Q_2898,A_2897,B_2901,P_2899,Q_2898,C_2902,D_2900)
| ~ para(A_2897,B_2901,C_2902,D_2900) ),
inference(resolution,[status(thm)],[c_80,c_48949]) ).
tff(c_62353,plain,
! [P_2899,Q_2898,C_2902,D_2900] :
( para(P_2899,Q_2898,P_2899,Q_2898)
| ~ para(C_2902,D_2900,C_2902,D_2900) ),
inference(resolution,[status(thm)],[c_62259,c_78]) ).
tff(c_119760,plain,
! [C_2902,D_2900] : ~ para(C_2902,D_2900,C_2902,D_2900),
inference(splitLeft,[status(thm)],[c_62353]) ).
tff(c_236,plain,
perp('#skF_27','#skF_26','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_506,plain,
! [C_582,D_583,A_584,B_585] :
( perp(C_582,D_583,A_584,B_585)
| ~ perp(A_584,B_585,C_582,D_583) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_523,plain,
perp('#skF_21','#skF_23','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_236,c_506]) ).
tff(c_46636,plain,
! [F_2199,A_2196,B_2201,C_2198,D_2200,E_2197] :
( para(A_2196,B_2201,E_2197,F_2199)
| ~ perp(C_2198,D_2200,E_2197,F_2199)
| ~ perp(A_2196,B_2201,C_2198,D_2200) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_50129,plain,
! [A_2402,B_2403] :
( para(A_2402,B_2403,'#skF_27','#skF_26')
| ~ perp(A_2402,B_2403,'#skF_21','#skF_23') ),
inference(resolution,[status(thm)],[c_523,c_46636]) ).
tff(c_50146,plain,
para('#skF_27','#skF_26','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_236,c_50129]) ).
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_50276,plain,
coll('#skF_27','#skF_26','#skF_26'),
inference(resolution,[status(thm)],[c_50146,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_50286,plain,
coll('#skF_26','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_50276,c_4]) ).
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_53934,plain,
! [C_2601] :
( coll(C_2601,'#skF_26','#skF_26')
| ~ coll('#skF_26','#skF_27',C_2601) ),
inference(resolution,[status(thm)],[c_50286,c_6]) ).
tff(c_53950,plain,
coll('#skF_26','#skF_26','#skF_26'),
inference(resolution,[status(thm)],[c_50286,c_53934]) ).
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_538,plain,
perp('#skF_21','#skF_23','#skF_26','#skF_27'),
inference(resolution,[status(thm)],[c_523,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_564,plain,
perp('#skF_26','#skF_27','#skF_21','#skF_23'),
inference(resolution,[status(thm)],[c_538,c_16]) ).
tff(c_50145,plain,
para('#skF_26','#skF_27','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_564,c_50129]) ).
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_50678,plain,
para('#skF_26','#skF_27','#skF_26','#skF_27'),
inference(resolution,[status(thm)],[c_50145,c_8]) ).
tff(c_48048,plain,
! [A_2275,B_2276,P_2277,Q_2278] :
( cyclic(A_2275,B_2276,P_2277,Q_2278)
| ~ coll(P_2277,Q_2278,B_2276)
| ~ eqangle(P_2277,A_2275,P_2277,B_2276,Q_2278,A_2275,Q_2278,B_2276) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_70291,plain,
! [D_3145,Q_3146,P_3147] :
( cyclic(D_3145,Q_3146,P_3147,P_3147)
| ~ coll(P_3147,P_3147,Q_3146)
| ~ para(P_3147,D_3145,P_3147,D_3145) ),
inference(resolution,[status(thm)],[c_80,c_48048]) ).
tff(c_105624,plain,
! [Q_4067] :
( cyclic('#skF_27',Q_4067,'#skF_26','#skF_26')
| ~ coll('#skF_26','#skF_26',Q_4067) ),
inference(resolution,[status(thm)],[c_50678,c_70291]) ).
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_108350,plain,
! [Q_4160] :
( cyclic('#skF_27','#skF_26',Q_4160,'#skF_26')
| ~ coll('#skF_26','#skF_26',Q_4160) ),
inference(resolution,[status(thm)],[c_105624,c_30]) ).
tff(c_32,plain,
! [B_66,A_65,C_67,D_68] :
( cyclic(B_66,A_65,C_67,D_68)
| ~ cyclic(A_65,B_66,C_67,D_68) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_112565,plain,
! [Q_4306] :
( cyclic('#skF_26','#skF_27',Q_4306,'#skF_26')
| ~ coll('#skF_26','#skF_26',Q_4306) ),
inference(resolution,[status(thm)],[c_108350,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_2038,plain,
! [B_681,D_684,Q_679,A_682,P_683,C_680] :
( para(A_682,B_681,C_680,D_684)
| ~ eqangle(A_682,B_681,P_683,Q_679,C_680,D_684,P_683,Q_679) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_2050,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_2038]) ).
tff(c_112570,plain,
( para('#skF_26','#skF_26','#skF_26','#skF_26')
| ~ coll('#skF_26','#skF_26','#skF_26') ),
inference(resolution,[status(thm)],[c_112565,c_2050]) ).
tff(c_112587,plain,
para('#skF_26','#skF_26','#skF_26','#skF_26'),
inference(demodulation,[status(thm),theory(equality)],[c_53950,c_112570]) ).
tff(c_119801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119760,c_112587]) ).
tff(c_119849,plain,
! [P_4587,Q_4588] : para(P_4587,Q_4588,P_4587,Q_4588),
inference(splitRight,[status(thm)],[c_62353]) ).
tff(c_120091,plain,
! [P_4589,Q_4590] : coll(P_4589,Q_4590,Q_4590),
inference(resolution,[status(thm)],[c_119849,c_134]) ).
tff(c_122409,plain,
! [Q_4594,P_4595] : coll(Q_4594,P_4595,Q_4594),
inference(resolution,[status(thm)],[c_120091,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_124658,plain,
! [Q_4594,P_4595] : coll(Q_4594,Q_4594,P_4595),
inference(resolution,[status(thm)],[c_122409,c_2]) ).
tff(c_125371,plain,
! [Q_4596,P_4597] : coll(Q_4596,Q_4596,P_4597),
inference(resolution,[status(thm)],[c_122409,c_2]) ).
tff(c_125373,plain,
! [C_9,P_4597,Q_4596] :
( coll(C_9,P_4597,Q_4596)
| ~ coll(Q_4596,Q_4596,C_9) ),
inference(resolution,[status(thm)],[c_125371,c_6]) ).
tff(c_125380,plain,
! [C_9,P_4597,Q_4596] : coll(C_9,P_4597,Q_4596),
inference(demodulation,[status(thm),theory(equality)],[c_124658,c_125373]) ).
tff(c_240,plain,
circle('#skF_24','#skF_23','#skF_26','#skF_29'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_2327,plain,
! [A_698,B_699,C_700,O_701] :
( perp(A_698,B_699,B_699,C_700)
| ~ coll(O_701,A_698,C_700)
| ~ circle(O_701,A_698,B_699,C_700) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_2333,plain,
( perp('#skF_23','#skF_26','#skF_26','#skF_29')
| ~ coll('#skF_24','#skF_23','#skF_29') ),
inference(resolution,[status(thm)],[c_240,c_2327]) ).
tff(c_2369,plain,
~ coll('#skF_24','#skF_23','#skF_29'),
inference(splitLeft,[status(thm)],[c_2333]) ).
tff(c_133007,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125380,c_2369]) ).
tff(c_133009,plain,
coll('#skF_24','#skF_23','#skF_29'),
inference(splitRight,[status(thm)],[c_2333]) ).
tff(c_138539,plain,
! [C_4975] :
( coll(C_4975,'#skF_29','#skF_24')
| ~ coll('#skF_24','#skF_23',C_4975) ),
inference(resolution,[status(thm)],[c_133009,c_6]) ).
tff(c_138549,plain,
coll('#skF_29','#skF_29','#skF_24'),
inference(resolution,[status(thm)],[c_133009,c_138539]) ).
tff(c_138586,plain,
coll('#skF_29','#skF_24','#skF_29'),
inference(resolution,[status(thm)],[c_138549,c_2]) ).
tff(c_148231,plain,
! [C_5446] :
( coll(C_5446,'#skF_29','#skF_29')
| ~ coll('#skF_29','#skF_24',C_5446) ),
inference(resolution,[status(thm)],[c_138586,c_6]) ).
tff(c_148266,plain,
coll('#skF_29','#skF_29','#skF_29'),
inference(resolution,[status(thm)],[c_138586,c_148231]) ).
tff(c_133008,plain,
perp('#skF_23','#skF_26','#skF_26','#skF_29'),
inference(splitRight,[status(thm)],[c_2333]) ).
tff(c_136226,plain,
perp('#skF_23','#skF_26','#skF_29','#skF_26'),
inference(resolution,[status(thm)],[c_133008,c_14]) ).
tff(c_138087,plain,
perp('#skF_29','#skF_26','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_136226,c_16]) ).
tff(c_136380,plain,
! [D_4854,B_4855,C_4852,F_4853,A_4850,E_4851] :
( para(A_4850,B_4855,E_4851,F_4853)
| ~ perp(C_4852,D_4854,E_4851,F_4853)
| ~ perp(A_4850,B_4855,C_4852,D_4854) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_258788,plain,
! [A_8049,B_8050] :
( para(A_8049,B_8050,'#skF_26','#skF_29')
| ~ perp(A_8049,B_8050,'#skF_23','#skF_26') ),
inference(resolution,[status(thm)],[c_133008,c_136380]) ).
tff(c_258874,plain,
para('#skF_29','#skF_26','#skF_26','#skF_29'),
inference(resolution,[status(thm)],[c_138087,c_258788]) ).
tff(c_258967,plain,
para('#skF_29','#skF_26','#skF_29','#skF_26'),
inference(resolution,[status(thm)],[c_258874,c_8]) ).
tff(c_138559,plain,
! [A_4976,B_4977,P_4978,Q_4979] :
( cyclic(A_4976,B_4977,P_4978,Q_4979)
| ~ coll(P_4978,Q_4979,B_4977)
| ~ eqangle(P_4978,A_4976,P_4978,B_4977,Q_4979,A_4976,Q_4979,B_4977) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_138577,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_138559]) ).
tff(c_259691,plain,
! [Q_8080] :
( cyclic('#skF_26',Q_8080,'#skF_29','#skF_29')
| ~ coll('#skF_29','#skF_29',Q_8080) ),
inference(resolution,[status(thm)],[c_258967,c_138577]) ).
tff(c_260737,plain,
! [Q_8115] :
( cyclic('#skF_26','#skF_29',Q_8115,'#skF_29')
| ~ coll('#skF_29','#skF_29',Q_8115) ),
inference(resolution,[status(thm)],[c_259691,c_30]) ).
tff(c_262106,plain,
! [Q_8163] :
( cyclic('#skF_29','#skF_26',Q_8163,'#skF_29')
| ~ coll('#skF_29','#skF_29',Q_8163) ),
inference(resolution,[status(thm)],[c_260737,c_32]) ).
tff(c_262114,plain,
( para('#skF_29','#skF_29','#skF_29','#skF_29')
| ~ coll('#skF_29','#skF_29','#skF_29') ),
inference(resolution,[status(thm)],[c_262106,c_2050]) ).
tff(c_262134,plain,
para('#skF_29','#skF_29','#skF_29','#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_148266,c_262114]) ).
tff(c_279345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_279302,c_262134]) ).
tff(c_280137,plain,
! [P_8517,Q_8518] : para(P_8517,Q_8518,P_8517,Q_8518),
inference(splitRight,[status(thm)],[c_149761]) ).
tff(c_280453,plain,
! [P_8519,Q_8520] : coll(P_8519,Q_8520,Q_8520),
inference(resolution,[status(thm)],[c_280137,c_134]) ).
tff(c_283790,plain,
! [Q_8521,P_8522] : coll(Q_8521,P_8522,Q_8521),
inference(resolution,[status(thm)],[c_280453,c_4]) ).
tff(c_287039,plain,
! [Q_8521,P_8522] : coll(Q_8521,Q_8521,P_8522),
inference(resolution,[status(thm)],[c_283790,c_2]) ).
tff(c_244,plain,
perp('#skF_25','#skF_23','#skF_21','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_522,plain,
perp('#skF_21','#skF_22','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_244,c_506]) ).
tff(c_136682,plain,
! [A_4871,B_4872] :
( para(A_4871,B_4872,'#skF_21','#skF_22')
| ~ perp(A_4871,B_4872,'#skF_25','#skF_23') ),
inference(resolution,[status(thm)],[c_244,c_136380]) ).
tff(c_136695,plain,
para('#skF_21','#skF_22','#skF_21','#skF_22'),
inference(resolution,[status(thm)],[c_522,c_136682]) ).
tff(c_150313,plain,
! [D_5495,Q_5496,P_5497] :
( cyclic(D_5495,Q_5496,P_5497,P_5497)
| ~ coll(P_5497,P_5497,Q_5496)
| ~ para(P_5497,D_5495,P_5497,D_5495) ),
inference(resolution,[status(thm)],[c_80,c_138559]) ).
tff(c_228965,plain,
! [Q_7452] :
( cyclic('#skF_22',Q_7452,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_7452) ),
inference(resolution,[status(thm)],[c_136695,c_150313]) ).
tff(c_248097,plain,
! [Q_7894] :
( cyclic('#skF_22','#skF_21',Q_7894,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_7894) ),
inference(resolution,[status(thm)],[c_228965,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_248121,plain,
! [Q_7894] :
( cyclic('#skF_22','#skF_21','#skF_21',Q_7894)
| ~ coll('#skF_21','#skF_21',Q_7894) ),
inference(resolution,[status(thm)],[c_248097,c_28]) ).
tff(c_287557,plain,
! [Q_7894] : cyclic('#skF_22','#skF_21','#skF_21',Q_7894),
inference(demodulation,[status(thm),theory(equality)],[c_287039,c_248121]) ).
tff(c_301074,plain,
! [Q_8686] : cyclic('#skF_22','#skF_21','#skF_21',Q_8686),
inference(demodulation,[status(thm),theory(equality)],[c_287039,c_248121]) ).
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_301084,plain,
! [D_72,Q_8686] :
( cyclic('#skF_21','#skF_21',D_72,Q_8686)
| ~ cyclic('#skF_22','#skF_21','#skF_21',D_72) ),
inference(resolution,[status(thm)],[c_301074,c_34]) ).
tff(c_301100,plain,
! [D_72,Q_8686] : cyclic('#skF_21','#skF_21',D_72,Q_8686),
inference(demodulation,[status(thm),theory(equality)],[c_287557,c_301084]) ).
tff(c_301719,plain,
! [D_8715,Q_8716] : cyclic('#skF_21','#skF_21',D_8715,Q_8716),
inference(demodulation,[status(thm),theory(equality)],[c_287557,c_301084]) ).
tff(c_301732,plain,
! [D_8715,D_72,Q_8716] :
( cyclic('#skF_21',D_8715,D_72,Q_8716)
| ~ cyclic('#skF_21','#skF_21',D_8715,D_72) ),
inference(resolution,[status(thm)],[c_301719,c_34]) ).
tff(c_301751,plain,
! [D_8715,D_72,Q_8716] : cyclic('#skF_21',D_8715,D_72,Q_8716),
inference(demodulation,[status(thm),theory(equality)],[c_301100,c_301732]) ).
tff(c_228,plain,
~ cyclic('#skF_21','#skF_27','#skF_28','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_305294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_301751,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO612+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:15:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 161.58/142.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.58/142.26
% 161.58/142.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 161.74/142.31
% 161.74/142.31 Inference rules
% 161.74/142.31 ----------------------
% 161.74/142.31 #Ref : 0
% 161.74/142.31 #Sup : 73403
% 161.74/142.31 #Fact : 0
% 161.74/142.31 #Define : 0
% 161.74/142.31 #Split : 323
% 161.74/142.31 #Chain : 0
% 161.74/142.31 #Close : 0
% 161.74/142.31
% 161.74/142.31 Ordering : KBO
% 161.74/142.31
% 161.74/142.31 Simplification rules
% 161.74/142.31 ----------------------
% 161.74/142.31 #Subsume : 6202
% 161.74/142.31 #Demod : 38702
% 161.74/142.31 #Tautology : 34218
% 161.74/142.31 #SimpNegUnit : 438
% 161.74/142.31 #BackRed : 1086
% 161.74/142.31
% 161.74/142.31 #Partial instantiations: 0
% 161.74/142.31 #Strategies tried : 1
% 161.74/142.31
% 161.74/142.31 Timing (in seconds)
% 161.74/142.31 ----------------------
% 161.74/142.31 Preprocessing : 0.74
% 161.74/142.31 Parsing : 0.42
% 161.74/142.31 CNF conversion : 0.07
% 161.74/142.31 Main loop : 140.48
% 161.74/142.31 Inferencing : 21.23
% 161.74/142.31 Reduction : 68.87
% 161.74/142.31 Demodulation : 57.36
% 161.74/142.31 BG Simplification : 0.34
% 161.74/142.31 Subsumption : 44.38
% 161.74/142.31 Abstraction : 0.61
% 161.74/142.31 MUC search : 0.00
% 161.74/142.31 Cooper : 0.00
% 161.74/142.31 Total : 141.29
% 161.74/142.31 Index Insertion : 0.00
% 161.74/142.31 Index Deletion : 0.00
% 161.74/142.31 Index Matching : 0.00
% 161.74/142.31 BG Taut test : 0.00
%------------------------------------------------------------------------------