%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO547+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/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 : n015.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 06:14:56 PM UTC 2025
% Result : Theorem 12.90s 4.67s
% Output : CNFRefutation 12.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 44 ( 17 ~; 15 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 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 : 29 ( 29 usr; 9 con; 0-7 aty)
% Number of variables : 44 ( 44 !; 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_672,negated_conjecture,
~ ! [A,B,C,O,D,E,F,G,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(E,D,B,C)
& coll(E,B,C)
& perp(F,D,A,C)
& coll(F,A,C)
& perp(G,D,A,B)
& coll(G,A,B) )
=> coll(E,F,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012007) ).
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_65,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
tff(f_59,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
tff(c_228,plain,
~ coll('#skF_26','#skF_27','#skF_28'),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_238,plain,
coll('#skF_26','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_245,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_254,plain,
coll('#skF_26','#skF_23','#skF_22'),
inference(resolution,[status(thm)],[c_238,c_245]) ).
tff(c_615,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_964,plain,
! [C_627] :
( coll(C_627,'#skF_22','#skF_26')
| ~ coll('#skF_26','#skF_23',C_627) ),
inference(resolution,[status(thm)],[c_254,c_615]) ).
tff(c_971,plain,
coll('#skF_22','#skF_22','#skF_26'),
inference(resolution,[status(thm)],[c_254,c_964]) ).
tff(c_230,plain,
coll('#skF_28','#skF_21','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_741,plain,
! [C_610] :
( coll(C_610,'#skF_22','#skF_28')
| ~ coll('#skF_28','#skF_21',C_610) ),
inference(resolution,[status(thm)],[c_230,c_615]) ).
tff(c_744,plain,
coll('#skF_22','#skF_22','#skF_28'),
inference(resolution,[status(thm)],[c_230,c_741]) ).
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_1581,plain,
! [C_664] :
( coll(C_664,'#skF_28','#skF_22')
| ~ coll('#skF_22','#skF_22',C_664) ),
inference(resolution,[status(thm)],[c_744,c_6]) ).
tff(c_1591,plain,
coll('#skF_26','#skF_28','#skF_22'),
inference(resolution,[status(thm)],[c_971,c_1581]) ).
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_1603,plain,
coll('#skF_26','#skF_22','#skF_28'),
inference(resolution,[status(thm)],[c_1591,c_2]) ).
tff(c_669,plain,
! [C_598] :
( coll(C_598,'#skF_23','#skF_26')
| ~ coll('#skF_26','#skF_22',C_598) ),
inference(resolution,[status(thm)],[c_238,c_615]) ).
tff(c_1632,plain,
coll('#skF_28','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_1603,c_669]) ).
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_1695,plain,
coll('#skF_23','#skF_28','#skF_26'),
inference(resolution,[status(thm)],[c_1632,c_4]) ).
tff(c_1859,plain,
coll('#skF_23','#skF_26','#skF_28'),
inference(resolution,[status(thm)],[c_1695,c_2]) ).
tff(c_2038,plain,
coll('#skF_26','#skF_23','#skF_28'),
inference(resolution,[status(thm)],[c_1859,c_4]) ).
tff(c_695,plain,
! [C_609] :
( coll(C_609,'#skF_23','#skF_26')
| ~ coll('#skF_26','#skF_22',C_609) ),
inference(resolution,[status(thm)],[c_238,c_615]) ).
tff(c_698,plain,
coll('#skF_23','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_238,c_695]) ).
tff(c_234,plain,
coll('#skF_27','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_671,plain,
! [C_608] :
( coll(C_608,'#skF_23','#skF_27')
| ~ coll('#skF_27','#skF_21',C_608) ),
inference(resolution,[status(thm)],[c_234,c_615]) ).
tff(c_674,plain,
coll('#skF_23','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_234,c_671]) ).
tff(c_1338,plain,
! [C_649] :
( coll(C_649,'#skF_27','#skF_23')
| ~ coll('#skF_23','#skF_23',C_649) ),
inference(resolution,[status(thm)],[c_674,c_6]) ).
tff(c_1350,plain,
coll('#skF_26','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_698,c_1338]) ).
tff(c_1369,plain,
coll('#skF_26','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_1350,c_2]) ).
tff(c_7689,plain,
! [C_1027] :
( coll(C_1027,'#skF_27','#skF_26')
| ~ coll('#skF_26','#skF_23',C_1027) ),
inference(resolution,[status(thm)],[c_1369,c_6]) ).
tff(c_7709,plain,
coll('#skF_28','#skF_27','#skF_26'),
inference(resolution,[status(thm)],[c_2038,c_7689]) ).
tff(c_7765,plain,
coll('#skF_27','#skF_28','#skF_26'),
inference(resolution,[status(thm)],[c_7709,c_4]) ).
tff(c_7785,plain,
coll('#skF_27','#skF_26','#skF_28'),
inference(resolution,[status(thm)],[c_7765,c_2]) ).
tff(c_7799,plain,
coll('#skF_26','#skF_27','#skF_28'),
inference(resolution,[status(thm)],[c_7785,c_4]) ).
tff(c_7806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228,c_7799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO547+1 : TPTP v9.0.0. Released v7.5.0.
% 0.07/0.13 % 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
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 20:33:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 12.90/4.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.90/4.67
% 12.90/4.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------