TSTP Solution File: PRO011+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n026.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 10:53:46 EDT 2023
% Result : Theorem 6.67s 2.53s
% Output : CNFRefutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 135 ( 32 unt; 43 typ; 0 def)
% Number of atoms : 196 ( 24 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 178 ( 74 ~; 68 |; 23 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 37 >; 37 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 6 con; 0-4 aty)
% Number of variables : 123 (; 109 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ next_subocc > min_precedes > subactivity_occurrence > subactivity > root_occ > root > precedes > occurrence_of > leaf_occ > leaf > earlier > atocc > legal > atomic > arboreal > activity_occurrence > activity > #nlpp > tptp4 > tptp3 > tptp2 > tptp1 > tptp0 > #skF_11 > #skF_16 > #skF_6 > #skF_18 > #skF_13 > #skF_1 > #skF_20 > #skF_19 > #skF_14 > #skF_12 > #skF_5 > #skF_2 > #skF_17 > #skF_3 > #skF_8 > #skF_7 > #skF_21 > #skF_9 > #skF_15 > #skF_4 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(arboreal,type,
arboreal: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(tptp1,type,
tptp1: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i ) > $i ).
tff(subactivity,type,
subactivity: ( $i * $i ) > $o ).
tff(root,type,
root: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(tptp2,type,
tptp2: $i ).
tff(leaf,type,
leaf: ( $i * $i ) > $o ).
tff(tptp0,type,
tptp0: $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(root_occ,type,
root_occ: ( $i * $i ) > $o ).
tff(tptp3,type,
tptp3: $i ).
tff(occurrence_of,type,
occurrence_of: ( $i * $i ) > $o ).
tff(atomic,type,
atomic: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(tptp4,type,
tptp4: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(legal,type,
legal: $i > $o ).
tff(earlier,type,
earlier: ( $i * $i ) > $o ).
tff(activity_occurrence,type,
activity_occurrence: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(leaf_occ,type,
leaf_occ: ( $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(activity,type,
activity: $i > $o ).
tff(min_precedes,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(precedes,type,
precedes: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(subactivity_occurrence,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(next_subocc,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(atocc,type,
atocc: ( $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_332,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
tff(f_358,negated_conjecture,
~ ! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X110,X111] :
( leaf_occ(X111,X109)
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( occurrence_of(X112,tptp2)
& subactivity_occurrence(X112,X109)
& min_precedes(X110,X112,tptp0) ) )
& ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( occurrence_of(X113,tptp1)
& subactivity_occurrence(X113,X109)
& min_precedes(X110,X113,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_313,axiom,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107,X108] :
( occurrence_of(X106,tptp3)
& root_occ(X106,X105)
& occurrence_of(X107,tptp4)
& next_subocc(X106,X107,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& next_subocc(X107,X108,tptp0)
& leaf_occ(X108,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
tff(f_294,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( occurrence_of(X103,X104)
& subactivity_occurrence(X102,X103)
& leaf(X102,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
tff(f_43,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X5)
& occurrence_of(X4,X6) )
=> ( X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
tff(f_101,axiom,
! [X23,X24,X25] :
( min_precedes(X24,X25,X23)
=> ? [X26,X27] :
( subactivity(X26,X23)
& subactivity(X27,X23)
& atocc(X24,X26)
& atocc(X25,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
tff(f_185,axiom,
! [X64,X65] :
( atocc(X64,X65)
<=> ? [X66] :
( subactivity(X65,X66)
& atomic(X66)
& occurrence_of(X64,X66) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
tff(f_74,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
tff(f_166,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ( root(X56,X57)
| ? [X58] : min_precedes(X58,X56,X57) )
& ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
tff(f_30,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
tff(f_37,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( activity(X3)
& occurrence_of(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
tff(f_316,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
tff(c_170,plain,
tptp2 != tptp1,
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_172,plain,
occurrence_of('#skF_19',tptp0),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_134,plain,
! [X105_118] :
( leaf_occ('#skF_18'(X105_118),X105_118)
| ~ occurrence_of(X105_118,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_132,plain,
! [X103_114,X102_113] :
( occurrence_of(X103_114,'#skF_15'(X102_113,X103_114))
| ~ leaf_occ(X102_113,X103_114) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_556,plain,
! [X6_238,X5_239,X4_240] :
( ( X6_238 = X5_239 )
| ~ occurrence_of(X4_240,X6_238)
| ~ occurrence_of(X4_240,X5_239) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_587,plain,
! [X5_241] :
( ( tptp0 = X5_241 )
| ~ occurrence_of('#skF_19',X5_241) ),
inference(resolution,[status(thm)],[c_172,c_556]) ).
tff(c_675,plain,
! [X102_246] :
( ( '#skF_15'(X102_246,'#skF_19') = tptp0 )
| ~ leaf_occ(X102_246,'#skF_19') ),
inference(resolution,[status(thm)],[c_132,c_587]) ).
tff(c_679,plain,
( ( '#skF_15'('#skF_18'('#skF_19'),'#skF_19') = tptp0 )
| ~ occurrence_of('#skF_19',tptp0) ),
inference(resolution,[status(thm)],[c_134,c_675]) ).
tff(c_682,plain,
'#skF_15'('#skF_18'('#skF_19'),'#skF_19') = tptp0,
inference(demodulation,[status(thm),theory(equality)],[c_172,c_679]) ).
tff(c_128,plain,
! [X102_113,X103_114] :
( leaf(X102_113,'#skF_15'(X102_113,X103_114))
| ~ leaf_occ(X102_113,X103_114) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_686,plain,
( leaf('#skF_18'('#skF_19'),tptp0)
| ~ leaf_occ('#skF_18'('#skF_19'),'#skF_19') ),
inference(superposition,[status(thm),theory(equality)],[c_682,c_128]) ).
tff(c_908,plain,
~ leaf_occ('#skF_18'('#skF_19'),'#skF_19'),
inference(splitLeft,[status(thm)],[c_686]) ).
tff(c_911,plain,
~ occurrence_of('#skF_19',tptp0),
inference(resolution,[status(thm)],[c_134,c_908]) ).
tff(c_915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172,c_911]) ).
tff(c_917,plain,
leaf_occ('#skF_18'('#skF_19'),'#skF_19'),
inference(splitRight,[status(thm)],[c_686]) ).
tff(c_198,plain,
! [X110_128,X111_129] :
( min_precedes(X110_128,'#skF_20'(X110_128,X111_129),tptp0)
| occurrence_of(X111_129,tptp2)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_36,plain,
! [X24_25,X23_24,X25_26] :
( atocc(X24_25,'#skF_2'(X23_24,X24_25,X25_26))
| ~ min_precedes(X24_25,X25_26,X23_24) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_84,plain,
! [X64_71,X65_72] :
( atomic('#skF_9'(X64_71,X65_72))
| ~ atocc(X64_71,X65_72) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_518,plain,
! [X64_226,X65_227] :
( occurrence_of(X64_226,'#skF_9'(X64_226,X65_227))
| ~ atocc(X64_226,X65_227) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_20,plain,
! [X16_17,X17_18] :
( arboreal(X16_17)
| ~ atomic(X17_18)
| ~ occurrence_of(X16_17,X17_18) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_2252,plain,
! [X64_387,X65_388] :
( arboreal(X64_387)
| ~ atomic('#skF_9'(X64_387,X65_388))
| ~ atocc(X64_387,X65_388) ),
inference(resolution,[status(thm)],[c_518,c_20]) ).
tff(c_2257,plain,
! [X64_389,X65_390] :
( arboreal(X64_389)
| ~ atocc(X64_389,X65_390) ),
inference(resolution,[status(thm)],[c_84,c_2252]) ).
tff(c_2311,plain,
! [X24_397,X25_398,X23_399] :
( arboreal(X24_397)
| ~ min_precedes(X24_397,X25_398,X23_399) ),
inference(resolution,[status(thm)],[c_36,c_2257]) ).
tff(c_2335,plain,
! [X110_128,X111_129] :
( arboreal(X110_128)
| occurrence_of(X111_129,tptp2)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(resolution,[status(thm)],[c_198,c_2311]) ).
tff(c_2371,plain,
! [X111_406] :
( occurrence_of(X111_406,tptp2)
| ~ leaf_occ(X111_406,'#skF_19') ),
inference(splitLeft,[status(thm)],[c_2335]) ).
tff(c_539,plain,
! [X111_236,X110_237] :
( occurrence_of(X111_236,tptp1)
| min_precedes(X110_237,'#skF_21'(X110_237,X111_236),tptp0)
| ~ leaf_occ(X111_236,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_64,plain,
! [X56_57,X59_64,X57_58] :
( ~ min_precedes(X56_57,X59_64,X57_58)
| ~ leaf(X56_57,X57_58) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_554,plain,
! [X110_237,X111_236] :
( ~ leaf(X110_237,tptp0)
| occurrence_of(X111_236,tptp1)
| ~ leaf_occ(X111_236,'#skF_19') ),
inference(resolution,[status(thm)],[c_539,c_64]) ).
tff(c_1933,plain,
! [X110_237] : ~ leaf(X110_237,tptp0),
inference(splitLeft,[status(thm)],[c_554]) ).
tff(c_916,plain,
leaf('#skF_18'('#skF_19'),tptp0),
inference(splitRight,[status(thm)],[c_686]) ).
tff(c_1935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1933,c_916]) ).
tff(c_1937,plain,
! [X111_357] :
( occurrence_of(X111_357,tptp1)
| ~ leaf_occ(X111_357,'#skF_19') ),
inference(splitRight,[status(thm)],[c_554]) ).
tff(c_489,plain,
! [X110_216,X111_217] :
( min_precedes(X110_216,'#skF_20'(X110_216,X111_217),tptp0)
| occurrence_of(X111_217,tptp2)
| ~ leaf_occ(X111_217,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_504,plain,
! [X110_216,X111_217] :
( ~ leaf(X110_216,tptp0)
| occurrence_of(X111_217,tptp2)
| ~ leaf_occ(X111_217,'#skF_19') ),
inference(resolution,[status(thm)],[c_489,c_64]) ).
tff(c_1665,plain,
! [X110_216] : ~ leaf(X110_216,tptp0),
inference(splitLeft,[status(thm)],[c_504]) ).
tff(c_1667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1665,c_916]) ).
tff(c_1669,plain,
! [X111_332] :
( occurrence_of(X111_332,tptp2)
| ~ leaf_occ(X111_332,'#skF_19') ),
inference(splitRight,[status(thm)],[c_504]) ).
tff(c_180,plain,
! [X111_129,X110_128] :
( occurrence_of(X111_129,tptp1)
| min_precedes(X110_128,'#skF_21'(X110_128,X111_129),tptp0)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_973,plain,
! [X24_273,X23_274,X25_275] :
( atocc(X24_273,'#skF_2'(X23_274,X24_273,X25_275))
| ~ min_precedes(X24_273,X25_275,X23_274) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_2,plain,
! [X1_2,X0_1] :
( activity_occurrence(X1_2)
| ~ occurrence_of(X1_2,X0_1) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_534,plain,
! [X64_226,X65_227] :
( activity_occurrence(X64_226)
| ~ atocc(X64_226,X65_227) ),
inference(resolution,[status(thm)],[c_518,c_2]) ).
tff(c_983,plain,
! [X24_276,X25_277,X23_278] :
( activity_occurrence(X24_276)
| ~ min_precedes(X24_276,X25_277,X23_278) ),
inference(resolution,[status(thm)],[c_973,c_534]) ).
tff(c_990,plain,
! [X110_128,X111_129] :
( activity_occurrence(X110_128)
| occurrence_of(X111_129,tptp1)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(resolution,[status(thm)],[c_180,c_983]) ).
tff(c_992,plain,
! [X111_129] :
( occurrence_of(X111_129,tptp1)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(splitLeft,[status(thm)],[c_990]) ).
tff(c_991,plain,
! [X110_128,X111_129] :
( activity_occurrence(X110_128)
| occurrence_of(X111_129,tptp2)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(resolution,[status(thm)],[c_198,c_983]) ).
tff(c_1039,plain,
! [X111_129] :
( occurrence_of(X111_129,tptp2)
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(splitLeft,[status(thm)],[c_991]) ).
tff(c_993,plain,
! [X111_279] :
( occurrence_of(X111_279,tptp1)
| ~ leaf_occ(X111_279,'#skF_19') ),
inference(splitLeft,[status(thm)],[c_990]) ).
tff(c_10,plain,
! [X6_7,X5_6,X4_5] :
( ( X6_7 = X5_6 )
| ~ occurrence_of(X4_5,X6_7)
| ~ occurrence_of(X4_5,X5_6) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1073,plain,
! [X5_283,X111_284] :
( ( tptp1 = X5_283 )
| ~ occurrence_of(X111_284,X5_283)
| ~ leaf_occ(X111_284,'#skF_19') ),
inference(resolution,[status(thm)],[c_993,c_10]) ).
tff(c_1076,plain,
! [X111_129] :
( ( tptp2 = tptp1 )
| ~ leaf_occ(X111_129,'#skF_19') ),
inference(resolution,[status(thm)],[c_1039,c_1073]) ).
tff(c_1106,plain,
! [X111_129] : ~ leaf_occ(X111_129,'#skF_19'),
inference(negUnitSimplification,[status(thm)],[c_170,c_1076]) ).
tff(c_1124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1106,c_917]) ).
tff(c_1125,plain,
! [X110_128] : activity_occurrence(X110_128),
inference(splitRight,[status(thm)],[c_991]) ).
tff(c_6,plain,
! [X2_3] :
( occurrence_of(X2_3,'#skF_1'(X2_3))
| ~ activity_occurrence(X2_3) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_583,plain,
! [X5_239,X2_3] :
( ( X5_239 = '#skF_1'(X2_3) )
| ~ occurrence_of(X2_3,X5_239)
| ~ activity_occurrence(X2_3) ),
inference(resolution,[status(thm)],[c_6,c_556]) ).
tff(c_1219,plain,
! [X5_294,X2_295] :
( ( X5_294 = '#skF_1'(X2_295) )
| ~ occurrence_of(X2_295,X5_294) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_583]) ).
tff(c_1267,plain,
! [X111_298] :
( ( '#skF_1'(X111_298) = tptp1 )
| ~ leaf_occ(X111_298,'#skF_19') ),
inference(resolution,[status(thm)],[c_992,c_1219]) ).
tff(c_1275,plain,
'#skF_1'('#skF_18'('#skF_19')) = tptp1,
inference(resolution,[status(thm)],[c_917,c_1267]) ).
tff(c_1143,plain,
! [X2_3] : occurrence_of(X2_3,'#skF_1'(X2_3)),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_6]) ).
tff(c_1288,plain,
occurrence_of('#skF_18'('#skF_19'),tptp1),
inference(superposition,[status(thm),theory(equality)],[c_1275,c_1143]) ).
tff(c_1333,plain,
! [X5_6] :
( ( tptp1 = X5_6 )
| ~ occurrence_of('#skF_18'('#skF_19'),X5_6) ),
inference(resolution,[status(thm)],[c_1288,c_10]) ).
tff(c_1680,plain,
( ( tptp2 = tptp1 )
| ~ leaf_occ('#skF_18'('#skF_19'),'#skF_19') ),
inference(resolution,[status(thm)],[c_1669,c_1333]) ).
tff(c_1706,plain,
tptp2 = tptp1,
inference(demodulation,[status(thm),theory(equality)],[c_917,c_1680]) ).
tff(c_1708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170,c_1706]) ).
tff(c_1709,plain,
! [X110_128] : activity_occurrence(X110_128),
inference(splitRight,[status(thm)],[c_990]) ).
tff(c_1714,plain,
! [X5_239,X2_3] :
( ( X5_239 = '#skF_1'(X2_3) )
| ~ occurrence_of(X2_3,X5_239) ),
inference(demodulation,[status(thm),theory(equality)],[c_1709,c_583]) ).
tff(c_1970,plain,
! [X111_361] :
( ( '#skF_1'(X111_361) = tptp1 )
| ~ leaf_occ(X111_361,'#skF_19') ),
inference(resolution,[status(thm)],[c_1937,c_1714]) ).
tff(c_1978,plain,
'#skF_1'('#skF_18'('#skF_19')) = tptp1,
inference(resolution,[status(thm)],[c_917,c_1970]) ).
tff(c_1727,plain,
! [X2_3] : occurrence_of(X2_3,'#skF_1'(X2_3)),
inference(demodulation,[status(thm),theory(equality)],[c_1709,c_6]) ).
tff(c_1991,plain,
occurrence_of('#skF_18'('#skF_19'),tptp1),
inference(superposition,[status(thm),theory(equality)],[c_1978,c_1727]) ).
tff(c_2036,plain,
! [X5_6] :
( ( tptp1 = X5_6 )
| ~ occurrence_of('#skF_18'('#skF_19'),X5_6) ),
inference(resolution,[status(thm)],[c_1991,c_10]) ).
tff(c_2382,plain,
( ( tptp2 = tptp1 )
| ~ leaf_occ('#skF_18'('#skF_19'),'#skF_19') ),
inference(resolution,[status(thm)],[c_2371,c_2036]) ).
tff(c_2408,plain,
tptp2 = tptp1,
inference(demodulation,[status(thm),theory(equality)],[c_917,c_2382]) ).
tff(c_2410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170,c_2408]) ).
tff(c_2411,plain,
! [X110_128] : arboreal(X110_128),
inference(splitRight,[status(thm)],[c_2335]) ).
tff(c_150,plain,
~ atomic(tptp0),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_381,plain,
! [X17_196,X16_197] :
( atomic(X17_196)
| ~ arboreal(X16_197)
| ~ occurrence_of(X16_197,X17_196) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_399,plain,
( atomic(tptp0)
| ~ arboreal('#skF_19') ),
inference(resolution,[status(thm)],[c_172,c_381]) ).
tff(c_411,plain,
~ arboreal('#skF_19'),
inference(negUnitSimplification,[status(thm)],[c_150,c_399]) ).
tff(c_2433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2411,c_411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 22:05:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 6.67/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.67/2.54
% 6.67/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.77/2.58
% 6.77/2.58 Inference rules
% 6.77/2.58 ----------------------
% 6.77/2.58 #Ref : 0
% 6.77/2.58 #Sup : 452
% 6.77/2.58 #Fact : 0
% 6.77/2.58 #Define : 0
% 6.77/2.58 #Split : 12
% 6.77/2.58 #Chain : 0
% 6.77/2.58 #Close : 0
% 6.77/2.58
% 6.77/2.58 Ordering : KBO
% 6.77/2.58
% 6.77/2.58 Simplification rules
% 6.77/2.58 ----------------------
% 6.77/2.58 #Subsume : 106
% 6.77/2.58 #Demod : 192
% 6.77/2.58 #Tautology : 173
% 6.77/2.58 #SimpNegUnit : 40
% 6.77/2.58 #BackRed : 18
% 6.77/2.58
% 6.77/2.58 #Partial instantiations: 0
% 6.77/2.58 #Strategies tried : 1
% 6.77/2.58
% 6.77/2.58 Timing (in seconds)
% 6.77/2.58 ----------------------
% 6.77/2.58 Preprocessing : 0.65
% 6.77/2.58 Parsing : 0.35
% 6.77/2.58 CNF conversion : 0.06
% 6.77/2.58 Main loop : 0.85
% 6.77/2.58 Inferencing : 0.33
% 6.77/2.58 Reduction : 0.23
% 6.77/2.58 Demodulation : 0.16
% 6.77/2.58 BG Simplification : 0.05
% 6.77/2.58 Subsumption : 0.17
% 6.77/2.58 Abstraction : 0.03
% 6.77/2.58 MUC search : 0.00
% 6.77/2.58 Cooper : 0.00
% 6.77/2.58 Total : 1.57
% 6.77/2.58 Index Insertion : 0.00
% 6.77/2.58 Index Deletion : 0.00
% 6.77/2.58 Index Matching : 0.00
% 6.77/2.58 BG Taut test : 0.00
%------------------------------------------------------------------------------