TSTP Solution File: GEO082+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n017.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 10:38:08 EDT 2023
% Result : Theorem 117.92s 96.00s
% Output : CNFRefutation 117.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 35
% Syntax : Number of formulae : 110 ( 15 unt; 25 typ; 0 def)
% Number of atoms : 212 ( 30 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 203 ( 76 ~; 101 |; 12 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 23 >; 22 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 151 (; 148 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > part_of > inner_point > incident_c > end_point > open > closed > sum > #nlpp > #skF_9 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_8 > #skF_13 > #skF_16 > #skF_14 > #skF_12 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_5 > #skF_15 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(closed,type,
closed: $i > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(inner_point,type,
inner_point: ( $i * $i ) > $o ).
tff(end_point,type,
end_point: ( $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(part_of,type,
part_of: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(meet,type,
meet: ( $i * $i * $i ) > $o ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(open,type,
open: $i > $o ).
tff(f_211,negated_conjecture,
~ ! [C1,C2] :
( ( part_of(C1,C2)
& part_of(C2,C1) )
=> ( C1 = C2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
tff(f_202,axiom,
! [C,C1] :
( ! [P] :
( incident_c(P,C)
<=> incident_c(P,C1) )
=> ( C = C1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).
tff(f_57,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
tff(f_83,axiom,
! [P,C] :
( end_point(P,C)
<=> ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
tff(f_90,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
tff(f_158,axiom,
! [C,P] :
( inner_point(P,C)
=> ? [C1,C2] :
( meet(P,C1,C2)
& ( C = sum(C1,C2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c4) ).
tff(f_105,axiom,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
tff(f_66,axiom,
! [C,C1,C2] :
( ( C = sum(C1,C2) )
<=> ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
tff(f_123,axiom,
! [C,C1] :
( ( part_of(C1,C)
& ( C1 != C ) )
=> open(C1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c1) ).
tff(f_151,axiom,
! [C] :
? [P] : inner_point(P,C),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).
tff(c_102,plain,
part_of('#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_98,plain,
'#skF_17' != '#skF_16',
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_100,plain,
part_of('#skF_17','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_554,plain,
! [C_188,C1_189] :
( incident_c('#skF_14'(C_188,C1_189),C1_189)
| incident_c('#skF_15'(C_188,C1_189),C_188)
| ( C_188 = C1_189 ) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_2,plain,
! [P_5,C_1,C1_2] :
( incident_c(P_5,C_1)
| ~ incident_c(P_5,C1_2)
| ~ part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_57536,plain,
! [C_43998,C1_43999,C_44000] :
( incident_c('#skF_14'(C_43998,C1_43999),C_44000)
| ~ part_of(C1_43999,C_44000)
| incident_c('#skF_15'(C_43998,C1_43999),C_43998)
| ( C_43998 = C1_43999 ) ),
inference(resolution,[status(thm)],[c_554,c_2]) ).
tff(c_94,plain,
! [C_68,C1_69] :
( ~ incident_c('#skF_14'(C_68,C1_69),C_68)
| incident_c('#skF_15'(C_68,C1_69),C_68)
| ( C_68 = C1_69 ) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_57991,plain,
! [C1_43999,C_44000] :
( ~ part_of(C1_43999,C_44000)
| incident_c('#skF_15'(C_44000,C1_43999),C_44000)
| ( C_44000 = C1_43999 ) ),
inference(resolution,[status(thm)],[c_57536,c_94]) ).
tff(c_28,plain,
! [P_12,C_13] :
( incident_c(P_12,C_13)
| ~ end_point(P_12,C_13) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_218,plain,
! [P_111,C_112,C1_113] :
( incident_c(P_111,C_112)
| ~ incident_c(P_111,C1_113)
| ~ part_of(C1_113,C_112) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_251,plain,
! [P_125,C_126,C_127] :
( incident_c(P_125,C_126)
| ~ part_of(C_127,C_126)
| ~ end_point(P_125,C_127) ),
inference(resolution,[status(thm)],[c_28,c_218]) ).
tff(c_259,plain,
! [P_125] :
( incident_c(P_125,'#skF_17')
| ~ end_point(P_125,'#skF_16') ),
inference(resolution,[status(thm)],[c_102,c_251]) ).
tff(c_260,plain,
! [P_125] :
( incident_c(P_125,'#skF_16')
| ~ end_point(P_125,'#skF_17') ),
inference(resolution,[status(thm)],[c_100,c_251]) ).
tff(c_776,plain,
! [C_217,C1_218] :
( ~ incident_c('#skF_14'(C_217,C1_218),C_217)
| ~ incident_c('#skF_15'(C_217,C1_218),C1_218)
| ( C_217 = C1_218 ) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_17713,plain,
! [C1_14288] :
( ~ incident_c('#skF_15'('#skF_16',C1_14288),C1_14288)
| ( C1_14288 = '#skF_16' )
| ~ end_point('#skF_14'('#skF_16',C1_14288),'#skF_17') ),
inference(resolution,[status(thm)],[c_260,c_776]) ).
tff(c_17798,plain,
( ( '#skF_17' = '#skF_16' )
| ~ end_point('#skF_14'('#skF_16','#skF_17'),'#skF_17')
| ~ end_point('#skF_15'('#skF_16','#skF_17'),'#skF_16') ),
inference(resolution,[status(thm)],[c_259,c_17713]) ).
tff(c_17824,plain,
( ~ end_point('#skF_14'('#skF_16','#skF_17'),'#skF_17')
| ~ end_point('#skF_15'('#skF_16','#skF_17'),'#skF_16') ),
inference(negUnitSimplification,[status(thm)],[c_98,c_17798]) ).
tff(c_18774,plain,
~ end_point('#skF_15'('#skF_16','#skF_17'),'#skF_16'),
inference(splitLeft,[status(thm)],[c_17824]) ).
tff(c_42,plain,
! [P_20,C_21] :
( inner_point(P_20,C_21)
| end_point(P_20,C_21)
| ~ incident_c(P_20,C_21) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_390,plain,
! [P_153,C_154] :
( meet(P_153,'#skF_10'(C_154,P_153),'#skF_11'(C_154,P_153))
| ~ inner_point(P_153,C_154) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_50,plain,
! [P_22,C_23,C1_24] :
( incident_c(P_22,C_23)
| ~ meet(P_22,C_23,C1_24) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_401,plain,
! [P_153,C_154] :
( incident_c(P_153,'#skF_10'(C_154,P_153))
| ~ inner_point(P_153,C_154) ),
inference(resolution,[status(thm)],[c_390,c_50]) ).
tff(c_76,plain,
! [C_46,P_47] :
( ( sum('#skF_10'(C_46,P_47),'#skF_11'(C_46,P_47)) = C_46 )
| ~ inner_point(P_47,C_46) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_12,plain,
! [Q_11,C1_7,C2_8] :
( ~ incident_c(Q_11,C1_7)
| incident_c(Q_11,sum(C1_7,C2_8)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_451,plain,
! [Q_167,C_168,C1_169,C2_170] :
( incident_c(Q_167,C_168)
| ~ part_of(sum(C1_169,C2_170),C_168)
| ~ incident_c(Q_167,C1_169) ),
inference(resolution,[status(thm)],[c_12,c_218]) ).
tff(c_1119266,plain,
! [Q_441016,C_441017,C_441018,P_441019] :
( incident_c(Q_441016,C_441017)
| ~ part_of(C_441018,C_441017)
| ~ incident_c(Q_441016,'#skF_10'(C_441018,P_441019))
| ~ inner_point(P_441019,C_441018) ),
inference(superposition,[status(thm),theory(equality)],[c_76,c_451]) ).
tff(c_1122847,plain,
! [Q_447184,P_447185] :
( incident_c(Q_447184,'#skF_17')
| ~ incident_c(Q_447184,'#skF_10'('#skF_16',P_447185))
| ~ inner_point(P_447185,'#skF_16') ),
inference(resolution,[status(thm)],[c_102,c_1119266]) ).
tff(c_1123561,plain,
! [P_447698] :
( incident_c(P_447698,'#skF_17')
| ~ inner_point(P_447698,'#skF_16') ),
inference(resolution,[status(thm)],[c_401,c_1122847]) ).
tff(c_1124579,plain,
! [P_449238] :
( incident_c(P_449238,'#skF_17')
| end_point(P_449238,'#skF_16')
| ~ incident_c(P_449238,'#skF_16') ),
inference(resolution,[status(thm)],[c_42,c_1123561]) ).
tff(c_6,plain,
! [C_1,C1_2] :
( incident_c('#skF_1'(C_1,C1_2),C1_2)
| part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_212,plain,
! [Q_108,C1_109,C2_110] :
( ~ incident_c(Q_108,C1_109)
| incident_c(Q_108,sum(C1_109,C2_110)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_4,plain,
! [C_1,C1_2] :
( ~ incident_c('#skF_1'(C_1,C1_2),C_1)
| part_of(C1_2,C_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_826,plain,
! [C1_221,C1_222,C2_223] :
( part_of(C1_221,sum(C1_222,C2_223))
| ~ incident_c('#skF_1'(sum(C1_222,C2_223),C1_221),C1_222) ),
inference(resolution,[status(thm)],[c_212,c_4]) ).
tff(c_869,plain,
! [C1_225,C2_226] : part_of(C1_225,sum(C1_225,C2_226)),
inference(resolution,[status(thm)],[c_6,c_826]) ).
tff(c_70,plain,
! [C1_37,C_36] :
( open(C1_37)
| ( C_36 = C1_37 )
| ~ part_of(C1_37,C_36) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_914,plain,
! [C1_225,C2_226] :
( open(C1_225)
| ( sum(C1_225,C2_226) = C1_225 ) ),
inference(resolution,[status(thm)],[c_869,c_70]) ).
tff(c_915,plain,
! [C1_227,C2_228] :
( open(C1_227)
| ( sum(C1_227,C2_228) = C1_227 ) ),
inference(resolution,[status(thm)],[c_869,c_70]) ).
tff(c_10,plain,
! [Q_11,C2_8,C1_7] :
( ~ incident_c(Q_11,C2_8)
| incident_c(Q_11,sum(C1_7,C2_8)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1137,plain,
! [Q_243,C2_244,C1_245] :
( ~ incident_c(Q_243,C2_244)
| incident_c(Q_243,C1_245)
| open(C1_245) ),
inference(superposition,[status(thm),theory(equality)],[c_915,c_10]) ).
tff(c_2306,plain,
! [C_384,C1_385,C1_386] :
( incident_c('#skF_1'(C_384,C1_385),C1_386)
| open(C1_386)
| part_of(C1_385,C_384) ),
inference(resolution,[status(thm)],[c_6,c_1137]) ).
tff(c_2347,plain,
! [C1_387,C1_388] :
( open(C1_387)
| part_of(C1_388,C1_387) ),
inference(resolution,[status(thm)],[c_2306,c_4]) ).
tff(c_230,plain,
! [C_1,C1_2,C_112] :
( incident_c('#skF_1'(C_1,C1_2),C_112)
| ~ part_of(C1_2,C_112)
| part_of(C1_2,C_1) ),
inference(resolution,[status(thm)],[c_6,c_218]) ).
tff(c_958,plain,
! [C1_231,C_232,C2_233] :
( ~ part_of(C1_231,C_232)
| part_of(C1_231,sum(C_232,C2_233)) ),
inference(resolution,[status(thm)],[c_230,c_826]) ).
tff(c_1006,plain,
! [C1_231,C_232,C2_233] :
( open(C1_231)
| ( sum(C_232,C2_233) = C1_231 )
| ~ part_of(C1_231,C_232) ),
inference(resolution,[status(thm)],[c_958,c_70]) ).
tff(c_14612,plain,
! [C1_9412,C1_9413,C2_9414] :
( open(C1_9412)
| ( sum(C1_9413,C2_9414) = C1_9412 )
| open(C1_9413) ),
inference(resolution,[status(thm)],[c_2347,c_1006]) ).
tff(c_74,plain,
! [C_44] : inner_point('#skF_9'(C_44),C_44),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_112,plain,
! [P_79,C_80] :
( incident_c(P_79,C_80)
| ~ inner_point(P_79,C_80) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_116,plain,
! [C_44] : incident_c('#skF_9'(C_44),C_44),
inference(resolution,[status(thm)],[c_74,c_112]) ).
tff(c_234,plain,
! [C_114,C_115] :
( incident_c('#skF_9'(C_114),C_115)
| ~ part_of(C_114,C_115) ),
inference(resolution,[status(thm)],[c_116,c_218]) ).
tff(c_297,plain,
! [C_136,C_137,C_138] :
( incident_c('#skF_9'(C_136),C_137)
| ~ part_of(C_138,C_137)
| ~ part_of(C_136,C_138) ),
inference(resolution,[status(thm)],[c_234,c_2]) ).
tff(c_306,plain,
! [C_136] :
( incident_c('#skF_9'(C_136),'#skF_16')
| ~ part_of(C_136,'#skF_17') ),
inference(resolution,[status(thm)],[c_100,c_297]) ).
tff(c_16885,plain,
! [C1_9413,C2_9414,C_136] :
( incident_c(sum(C1_9413,C2_9414),'#skF_16')
| ~ part_of(C_136,'#skF_17')
| open('#skF_9'(C_136))
| open(C1_9413) ),
inference(superposition,[status(thm),theory(equality)],[c_14612,c_306]) ).
tff(c_31343,plain,
! [C1_26713,C2_26714] :
( incident_c(sum(C1_26713,C2_26714),'#skF_16')
| open(C1_26713) ),
inference(splitLeft,[status(thm)],[c_16885]) ).
tff(c_31777,plain,
! [C1_26843] :
( incident_c(C1_26843,'#skF_16')
| open(C1_26843)
| open(C1_26843) ),
inference(superposition,[status(thm),theory(equality)],[c_914,c_31343]) ).
tff(c_90,plain,
! [C_68,C1_69] :
( ~ incident_c('#skF_14'(C_68,C1_69),C_68)
| ~ incident_c('#skF_15'(C_68,C1_69),C1_69)
| ( C_68 = C1_69 ) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_31889,plain,
! [C1_69] :
( ~ incident_c('#skF_15'('#skF_16',C1_69),C1_69)
| ( C1_69 = '#skF_16' )
| open('#skF_14'('#skF_16',C1_69)) ),
inference(resolution,[status(thm)],[c_31777,c_90]) ).
tff(c_1124741,plain,
( ( '#skF_17' = '#skF_16' )
| open('#skF_14'('#skF_16','#skF_17'))
| end_point('#skF_15'('#skF_16','#skF_17'),'#skF_16')
| ~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_16') ),
inference(resolution,[status(thm)],[c_1124579,c_31889]) ).
tff(c_1124974,plain,
( open('#skF_14'('#skF_16','#skF_17'))
| ~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_16') ),
inference(negUnitSimplification,[status(thm)],[c_18774,c_98,c_1124741]) ).
tff(c_1125953,plain,
~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_16'),
inference(splitLeft,[status(thm)],[c_1124974]) ).
tff(c_1125963,plain,
( ~ part_of('#skF_17','#skF_16')
| ( '#skF_17' = '#skF_16' ) ),
inference(resolution,[status(thm)],[c_57991,c_1125953]) ).
tff(c_1126004,plain,
'#skF_17' = '#skF_16',
inference(demodulation,[status(thm),theory(equality)],[c_100,c_1125963]) ).
tff(c_1126006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_1126004]) ).
tff(c_1126008,plain,
incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_16'),
inference(splitRight,[status(thm)],[c_1124974]) ).
tff(c_1126406,plain,
! [C_1] :
( incident_c('#skF_15'('#skF_16','#skF_17'),C_1)
| ~ part_of('#skF_16',C_1) ),
inference(resolution,[status(thm)],[c_1126008,c_2]) ).
tff(c_1127260,plain,
! [C_454882] :
( incident_c('#skF_15'('#skF_16','#skF_17'),C_454882)
| ~ part_of('#skF_16',C_454882) ),
inference(resolution,[status(thm)],[c_1126008,c_2]) ).
tff(c_751,plain,
! [C_215,C1_216] :
( incident_c('#skF_14'(C_215,C1_216),C1_216)
| ~ incident_c('#skF_15'(C_215,C1_216),C1_216)
| ( C_215 = C1_216 ) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_775,plain,
! [C_215,C1_216,C_1] :
( incident_c('#skF_14'(C_215,C1_216),C_1)
| ~ part_of(C1_216,C_1)
| ~ incident_c('#skF_15'(C_215,C1_216),C1_216)
| ( C_215 = C1_216 ) ),
inference(resolution,[status(thm)],[c_751,c_2]) ).
tff(c_1127311,plain,
! [C_1] :
( incident_c('#skF_14'('#skF_16','#skF_17'),C_1)
| ~ part_of('#skF_17',C_1)
| ( '#skF_17' = '#skF_16' )
| ~ part_of('#skF_16','#skF_17') ),
inference(resolution,[status(thm)],[c_1127260,c_775]) ).
tff(c_1127507,plain,
! [C_1] :
( incident_c('#skF_14'('#skF_16','#skF_17'),C_1)
| ~ part_of('#skF_17',C_1)
| ( '#skF_17' = '#skF_16' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_1127311]) ).
tff(c_1127541,plain,
! [C_455907] :
( incident_c('#skF_14'('#skF_16','#skF_17'),C_455907)
| ~ part_of('#skF_17',C_455907) ),
inference(negUnitSimplification,[status(thm)],[c_98,c_1127507]) ).
tff(c_1127616,plain,
( ~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_17')
| ( '#skF_17' = '#skF_16' )
| ~ part_of('#skF_17','#skF_16') ),
inference(resolution,[status(thm)],[c_1127541,c_90]) ).
tff(c_1127820,plain,
( ~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_17')
| ( '#skF_17' = '#skF_16' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_1127616]) ).
tff(c_1127821,plain,
~ incident_c('#skF_15'('#skF_16','#skF_17'),'#skF_17'),
inference(negUnitSimplification,[status(thm)],[c_98,c_1127820]) ).
tff(c_1127832,plain,
~ part_of('#skF_16','#skF_17'),
inference(resolution,[status(thm)],[c_1126406,c_1127821]) ).
tff(c_1127869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_1127832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 23:44:21 EDT 2023
% 0.13/0.36 % CPUTime :
% 117.92/96.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.92/96.01
% 117.92/96.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 117.92/96.05
% 117.92/96.05 Inference rules
% 117.92/96.05 ----------------------
% 117.92/96.05 #Ref : 0
% 117.92/96.05 #Sup : 226499
% 117.92/96.05 #Fact : 66
% 117.92/96.05 #Define : 0
% 117.92/96.05 #Split : 32
% 117.92/96.05 #Chain : 0
% 117.92/96.05 #Close : 0
% 117.92/96.05
% 117.92/96.05 Ordering : KBO
% 117.92/96.05
% 117.92/96.05 Simplification rules
% 117.92/96.05 ----------------------
% 117.92/96.05 #Subsume : 160170
% 117.92/96.05 #Demod : 17626
% 117.92/96.05 #Tautology : 13336
% 117.92/96.05 #SimpNegUnit : 97
% 117.92/96.05 #BackRed : 1
% 117.92/96.05
% 117.92/96.05 #Partial instantiations: 255402
% 117.92/96.05 #Strategies tried : 1
% 117.92/96.05
% 117.92/96.05 Timing (in seconds)
% 117.92/96.05 ----------------------
% 117.92/96.05 Preprocessing : 0.59
% 117.92/96.05 Parsing : 0.29
% 117.92/96.05 CNF conversion : 0.05
% 117.92/96.05 Main loop : 94.36
% 117.92/96.06 Inferencing : 12.76
% 117.92/96.06 Reduction : 20.18
% 117.92/96.06 Demodulation : 12.97
% 117.92/96.06 BG Simplification : 0.60
% 117.92/96.06 Subsumption : 56.76
% 117.92/96.06 Abstraction : 1.10
% 117.92/96.06 MUC search : 0.00
% 117.92/96.06 Cooper : 0.00
% 117.92/96.06 Total : 95.02
% 117.92/96.06 Index Insertion : 0.00
% 117.92/96.06 Index Deletion : 0.00
% 117.92/96.06 Index Matching : 0.00
% 117.92/96.06 BG Taut test : 0.00
%------------------------------------------------------------------------------