%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO551+1 : TPTP v9.0.0. 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 : n021.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 : Wed Apr 9 06:14:57 PM UTC 2025
% Result : Theorem 33.88s 19.76s
% Output : CNFRefutation 33.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 82 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 128 ( 52 ~; 49 |; 8 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 234 ( 234 !; 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_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_666,negated_conjecture,
~ ! [A,B,C,D,L,M,N] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& midp(L,A,B)
& midp(M,C,B)
& midp(N,A,C) )
=> cyclic(L,D,M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012011) ).
tff(f_103,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
tff(f_429,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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_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_395,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
tff(f_73,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/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/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_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_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_5292,plain,
! [V_933,P_938,A_937,D_931,Q_935,C_932,B_934,U_936] :
( eqangle(C_932,D_931,A_937,B_934,U_936,V_933,P_938,Q_935)
| ~ eqangle(A_937,B_934,C_932,D_931,P_938,Q_935,U_936,V_933) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_24014,plain,
! [A_1787,C_1792,P_1789,D_1790,B_1791,Q_1788] :
( eqangle(P_1789,Q_1788,A_1787,B_1791,P_1789,Q_1788,C_1792,D_1790)
| ~ para(A_1787,B_1791,C_1792,D_1790) ),
inference(resolution,[status(thm)],[c_80,c_5292]) ).
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_24108,plain,
! [P_1789,Q_1788,C_1792,D_1790] :
( para(P_1789,Q_1788,P_1789,Q_1788)
| ~ para(C_1792,D_1790,C_1792,D_1790) ),
inference(resolution,[status(thm)],[c_24014,c_78]) ).
tff(c_46961,plain,
! [C_1792,D_1790] : ~ para(C_1792,D_1790,C_1792,D_1790),
inference(splitLeft,[status(thm)],[c_24108]) ).
tff(c_230,plain,
midp('#skF_27','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_297,plain,
! [M_532,A_533,B_534] :
( midp(M_532,A_533,B_534)
| ~ midp(M_532,B_534,A_533) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_305,plain,
midp('#skF_27','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_230,c_297]) ).
tff(c_140,plain,
! [A_374,B_375,C_376] :
( coll(A_374,B_375,C_376)
| ~ midp(A_374,B_375,C_376) ),
inference(cnfTransformation,[status(thm)],[f_429]) ).
tff(c_348,plain,
coll('#skF_27','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_305,c_140]) ).
tff(c_587,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_2060,plain,
! [C_730] :
( coll(C_730,'#skF_21','#skF_27')
| ~ coll('#skF_27','#skF_23',C_730) ),
inference(resolution,[status(thm)],[c_348,c_587]) ).
tff(c_2073,plain,
coll('#skF_21','#skF_21','#skF_27'),
inference(resolution,[status(thm)],[c_348,c_2060]) ).
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_2083,plain,
coll('#skF_21','#skF_27','#skF_21'),
inference(resolution,[status(thm)],[c_2073,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_6013,plain,
! [C_978] :
( coll(C_978,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_27',C_978) ),
inference(resolution,[status(thm)],[c_2083,c_6]) ).
tff(c_6041,plain,
coll('#skF_21','#skF_21','#skF_21'),
inference(resolution,[status(thm)],[c_2083,c_6013]) ).
tff(c_804,plain,
! [C_614,B_616,D_615,A_617,M_618] :
( para(A_617,C_614,B_616,D_615)
| ~ midp(M_618,C_614,D_615)
| ~ midp(M_618,A_617,B_616) ),
inference(cnfTransformation,[status(thm)],[f_395]) ).
tff(c_1408,plain,
! [A_672,B_673] :
( para(A_672,'#skF_21',B_673,'#skF_23')
| ~ midp('#skF_27',A_672,B_673) ),
inference(resolution,[status(thm)],[c_230,c_804]) ).
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_1499,plain,
! [B_680,A_681] :
( para(B_680,'#skF_23',A_681,'#skF_21')
| ~ midp('#skF_27',A_681,B_680) ),
inference(resolution,[status(thm)],[c_1408,c_10]) ).
tff(c_8,plain,
! [A_11,B_12,D_14,C_13] :
( para(A_11,B_12,D_14,C_13)
| ~ para(A_11,B_12,C_13,D_14) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1509,plain,
! [B_680,A_681] :
( para(B_680,'#skF_23','#skF_21',A_681)
| ~ midp('#skF_27',A_681,B_680) ),
inference(resolution,[status(thm)],[c_1499,c_8]) ).
tff(c_6490,plain,
! [A_1000,B_1001,P_1002,Q_1003] :
( cyclic(A_1000,B_1001,P_1002,Q_1003)
| ~ coll(P_1002,Q_1003,B_1001)
| ~ eqangle(P_1002,A_1000,P_1002,B_1001,Q_1003,A_1000,Q_1003,B_1001) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_27990,plain,
! [D_1956,Q_1957,P_1958] :
( cyclic(D_1956,Q_1957,P_1958,P_1958)
| ~ coll(P_1958,P_1958,Q_1957)
| ~ para(P_1958,D_1956,P_1958,D_1956) ),
inference(resolution,[status(thm)],[c_80,c_6490]) ).
tff(c_28115,plain,
! [Q_1957] :
( cyclic('#skF_23',Q_1957,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_1957)
| ~ midp('#skF_27','#skF_23','#skF_21') ),
inference(resolution,[status(thm)],[c_1509,c_27990]) ).
tff(c_30554,plain,
! [Q_2017] :
( cyclic('#skF_23',Q_2017,'#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21',Q_2017) ),
inference(demodulation,[status(thm),theory(equality)],[c_305,c_28115]) ).
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_31847,plain,
! [Q_2058] :
( cyclic('#skF_23','#skF_21',Q_2058,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_2058) ),
inference(resolution,[status(thm)],[c_30554,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_33438,plain,
! [Q_2116] :
( cyclic('#skF_21','#skF_23',Q_2116,'#skF_21')
| ~ coll('#skF_21','#skF_21',Q_2116) ),
inference(resolution,[status(thm)],[c_31847,c_32]) ).
tff(c_1653,plain,
! [P_690,A_691,B_692,Q_693] :
( eqangle(P_690,A_691,P_690,B_692,Q_693,A_691,Q_693,B_692)
| ~ cyclic(A_691,B_692,P_690,Q_693) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_1658,plain,
! [Q_693,A_691,B_692] :
( para(Q_693,A_691,Q_693,A_691)
| ~ cyclic(A_691,B_692,Q_693,Q_693) ),
inference(resolution,[status(thm)],[c_1653,c_78]) ).
tff(c_33443,plain,
( para('#skF_21','#skF_21','#skF_21','#skF_21')
| ~ coll('#skF_21','#skF_21','#skF_21') ),
inference(resolution,[status(thm)],[c_33438,c_1658]) ).
tff(c_33457,plain,
para('#skF_21','#skF_21','#skF_21','#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_6041,c_33443]) ).
tff(c_47081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46961,c_33457]) ).
tff(c_47114,plain,
! [P_2477,Q_2478] : para(P_2477,Q_2478,P_2477,Q_2478),
inference(splitRight,[status(thm)],[c_24108]) ).
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_47309,plain,
! [P_2479,Q_2480] : coll(P_2479,Q_2480,Q_2480),
inference(resolution,[status(thm)],[c_47114,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_48842,plain,
! [Q_2481,P_2482] : coll(Q_2481,P_2482,Q_2481),
inference(resolution,[status(thm)],[c_47309,c_4]) ).
tff(c_50323,plain,
! [Q_2481,P_2482] : coll(Q_2481,Q_2481,P_2482),
inference(resolution,[status(thm)],[c_48842,c_2]) ).
tff(c_1418,plain,
! [A_672,B_673] :
( para(A_672,'#skF_21','#skF_23',B_673)
| ~ midp('#skF_27',A_672,B_673) ),
inference(resolution,[status(thm)],[c_1408,c_8]) ).
tff(c_28125,plain,
! [Q_1957] :
( cyclic('#skF_21',Q_1957,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_1957)
| ~ midp('#skF_27','#skF_23','#skF_21') ),
inference(resolution,[status(thm)],[c_1418,c_27990]) ).
tff(c_28244,plain,
! [Q_1959] :
( cyclic('#skF_21',Q_1959,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_23',Q_1959) ),
inference(demodulation,[status(thm),theory(equality)],[c_305,c_28125]) ).
tff(c_30346,plain,
! [Q_2007] :
( cyclic('#skF_21','#skF_23',Q_2007,'#skF_23')
| ~ coll('#skF_23','#skF_23',Q_2007) ),
inference(resolution,[status(thm)],[c_28244,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_30366,plain,
! [Q_2007] :
( cyclic('#skF_21','#skF_23','#skF_23',Q_2007)
| ~ coll('#skF_23','#skF_23',Q_2007) ),
inference(resolution,[status(thm)],[c_30346,c_28]) ).
tff(c_50584,plain,
! [Q_2007] : cyclic('#skF_21','#skF_23','#skF_23',Q_2007),
inference(demodulation,[status(thm),theory(equality)],[c_50323,c_30366]) ).
tff(c_57114,plain,
! [Q_2583] : cyclic('#skF_21','#skF_23','#skF_23',Q_2583),
inference(demodulation,[status(thm),theory(equality)],[c_50323,c_30366]) ).
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_57120,plain,
! [D_72,Q_2583] :
( cyclic('#skF_23','#skF_23',D_72,Q_2583)
| ~ cyclic('#skF_21','#skF_23','#skF_23',D_72) ),
inference(resolution,[status(thm)],[c_57114,c_34]) ).
tff(c_57131,plain,
! [D_72,Q_2583] : cyclic('#skF_23','#skF_23',D_72,Q_2583),
inference(demodulation,[status(thm),theory(equality)],[c_50584,c_57120]) ).
tff(c_58394,plain,
! [D_2650,Q_2651] : cyclic('#skF_23','#skF_23',D_2650,Q_2651),
inference(demodulation,[status(thm),theory(equality)],[c_50584,c_57120]) ).
tff(c_58398,plain,
! [D_2650,D_72,Q_2651] :
( cyclic('#skF_23',D_2650,D_72,Q_2651)
| ~ cyclic('#skF_23','#skF_23',D_2650,D_72) ),
inference(resolution,[status(thm)],[c_58394,c_34]) ).
tff(c_58408,plain,
! [D_2650,D_72,Q_2651] : cyclic('#skF_23',D_2650,D_72,Q_2651),
inference(demodulation,[status(thm),theory(equality)],[c_57131,c_58398]) ).
tff(c_59058,plain,
! [D_2691,D_2692,Q_2693] : cyclic('#skF_23',D_2691,D_2692,Q_2693),
inference(demodulation,[status(thm),theory(equality)],[c_57131,c_58398]) ).
tff(c_59062,plain,
! [D_2691,D_2692,D_72,Q_2693] :
( cyclic(D_2691,D_2692,D_72,Q_2693)
| ~ cyclic('#skF_23',D_2691,D_2692,D_72) ),
inference(resolution,[status(thm)],[c_59058,c_34]) ).
tff(c_59072,plain,
! [D_2691,D_2692,D_72,Q_2693] : cyclic(D_2691,D_2692,D_72,Q_2693),
inference(demodulation,[status(thm),theory(equality)],[c_58408,c_59062]) ).
tff(c_228,plain,
~ cyclic('#skF_25','#skF_24','#skF_26','#skF_27'),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_60294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59072,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO551+1 : TPTP v9.0.0. Released v7.5.0.
% 0.06/0.12 % 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
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 20:34:13 EDT 2025
% 0.13/0.33 % CPUTime :
% 33.88/19.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.88/19.76
% 33.88/19.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------