%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS180+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 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 : n003.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 07:08:10 PM UTC 2025
% Result : Theorem 6.15s 2.56s
% Output : CNFRefutation 6.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 94 ( 45 ~; 39 |; 2 &)
% ( 4 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 106 ( 102 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ status > xora > nota > nevera > model > mighta > isa > #nlpp > not > #skF_6 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_19 > #skF_3 > #skF_16 > #skF_26 > #skF_14 > #skF_13 > #skF_10 > #skF_8 > #skF_21 > #skF_30 > #skF_22 > #skF_29 > #skF_28 > #skF_2 > #skF_24 > #skF_27 > #skF_23 > #skF_7 > #skF_1 > #skF_9 > #skF_5 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(status,type,
status: ( $i * $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(xora,type,
xora: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(nota,type,
nota: ( $i * $i ) > $o ).
tff(model,type,
model: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(not,type,
not: $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(mighta,type,
mighta: ( $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(nevera,type,
nevera: ( $i * $i ) > $o ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_170,negated_conjecture,
~ ! [S1,S2] :
? [Ax,C] :
( status(Ax,C,S1)
=> ~ ( isa(S1,S2)
& ( nota(S1,S2)
| nevera(S1,S2)
| xora(S1,S2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_exclusive) ).
tff(f_64,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
tff(f_72,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& ~ status(Ax,C,S2) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
tff(f_87,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
<~> status(Ax,C,S2) )
<=> xora(S1,S2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',xora) ).
tff(f_80,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> ~ status(Ax,C,S2) )
<=> nevera(S1,S2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).
tff(c_82,plain,
isa('#skF_30','#skF_31'),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_84,plain,
( xora('#skF_30','#skF_31')
| nevera('#skF_30','#skF_31')
| nota('#skF_30','#skF_31') ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_94,plain,
nota('#skF_30','#skF_31'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_80,plain,
! [Ax_61,C_62] : status(Ax_61,C_62,'#skF_30'),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_137,plain,
! [Ax_96,C_97,S2_98,S1_99] :
( status(Ax_96,C_97,S2_98)
| ~ status(Ax_96,C_97,S1_99)
| ~ isa(S1_99,S2_98) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_143,plain,
! [Ax_61,C_62,S2_98] :
( status(Ax_61,C_62,S2_98)
| ~ isa('#skF_30',S2_98) ),
inference(resolution,[status(thm)],[c_80,c_137]) ).
tff(c_162,plain,
! [S1_103,S2_104] :
( ~ status('#skF_5'(S1_103,S2_104),'#skF_6'(S1_103,S2_104),S2_104)
| ~ nota(S1_103,S2_104) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_175,plain,
! [S1_107,S2_108] :
( ~ nota(S1_107,S2_108)
| ~ isa('#skF_30',S2_108) ),
inference(resolution,[status(thm)],[c_143,c_162]) ).
tff(c_178,plain,
~ isa('#skF_30','#skF_31'),
inference(resolution,[status(thm)],[c_94,c_175]) ).
tff(c_182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_82,c_178]) ).
tff(c_183,plain,
( nevera('#skF_30','#skF_31')
| xora('#skF_30','#skF_31') ),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_185,plain,
xora('#skF_30','#skF_31'),
inference(splitLeft,[status(thm)],[c_183]) ).
tff(c_18,plain,
! [S1_17,S2_18] :
( status('#skF_5'(S1_17,S2_18),'#skF_6'(S1_17,S2_18),S1_17)
| ~ nota(S1_17,S2_18) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_1080,plain,
! [S1_247,S2_248] :
( ~ status('#skF_5'(S1_247,S2_248),'#skF_6'(S1_247,S2_248),S2_248)
| ~ nota(S1_247,S2_248) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_1119,plain,
! [S1_17] : ~ nota(S1_17,S1_17),
inference(resolution,[status(thm)],[c_18,c_1080]) ).
tff(c_224,plain,
! [S1_132,S2_133,Ax_134,C_135] :
( nota(S1_132,S2_133)
| status(Ax_134,C_135,S2_133)
| ~ status(Ax_134,C_135,S1_132) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_233,plain,
! [S2_133,Ax_61,C_62] :
( nota('#skF_30',S2_133)
| status(Ax_61,C_62,S2_133) ),
inference(resolution,[status(thm)],[c_80,c_224]) ).
tff(c_346,plain,
! [Ax_160,C_161,S2_162,S1_163] :
( status(Ax_160,C_161,S2_162)
| ~ status(Ax_160,C_161,S1_163)
| ~ isa(S1_163,S2_162) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_385,plain,
! [Ax_169,C_170,S2_171,S2_172] :
( status(Ax_169,C_170,S2_171)
| ~ isa(S2_172,S2_171)
| nota('#skF_30',S2_172) ),
inference(resolution,[status(thm)],[c_233,c_346]) ).
tff(c_388,plain,
! [Ax_169,C_170] :
( status(Ax_169,C_170,'#skF_31')
| nota('#skF_30','#skF_30') ),
inference(resolution,[status(thm)],[c_82,c_385]) ).
tff(c_389,plain,
nota('#skF_30','#skF_30'),
inference(splitLeft,[status(thm)],[c_388]) ).
tff(c_1122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1119,c_389]) ).
tff(c_1136,plain,
! [Ax_249,C_250] : status(Ax_249,C_250,'#skF_31'),
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_30,plain,
! [Ax_39,C_40,S2_34,S1_33] :
( ~ status(Ax_39,C_40,S2_34)
| ~ status(Ax_39,C_40,S1_33)
| ~ xora(S1_33,S2_34) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1401,plain,
! [Ax_285,C_286,S1_287] :
( ~ status(Ax_285,C_286,S1_287)
| ~ xora(S1_287,'#skF_31') ),
inference(resolution,[status(thm)],[c_1136,c_30]) ).
tff(c_1428,plain,
~ xora('#skF_30','#skF_31'),
inference(resolution,[status(thm)],[c_80,c_1401]) ).
tff(c_1440,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185,c_1428]) ).
tff(c_1441,plain,
nevera('#skF_30','#skF_31'),
inference(splitRight,[status(thm)],[c_183]) ).
tff(c_1477,plain,
! [S1_311,S2_312] :
( status('#skF_7'(S1_311,S2_312),'#skF_8'(S1_311,S2_312),S2_312)
| nevera(S1_311,S2_312) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_20,plain,
! [Ax_31,C_32,S2_26,S1_25] :
( ~ status(Ax_31,C_32,S2_26)
| ~ status(Ax_31,C_32,S1_25)
| ~ nevera(S1_25,S2_26) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_3871,plain,
! [S1_549,S2_550,S1_551] :
( ~ status('#skF_7'(S1_549,S2_550),'#skF_8'(S1_549,S2_550),S1_551)
| ~ nevera(S1_551,S2_550)
| nevera(S1_549,S2_550) ),
inference(resolution,[status(thm)],[c_1477,c_20]) ).
tff(c_3915,plain,
! [S2_554,S1_555] :
( ~ nevera('#skF_30',S2_554)
| nevera(S1_555,S2_554) ),
inference(resolution,[status(thm)],[c_80,c_3871]) ).
tff(c_3918,plain,
! [S1_555] : nevera(S1_555,'#skF_31'),
inference(resolution,[status(thm)],[c_1441,c_3915]) ).
tff(c_1997,plain,
! [S1_406,S2_407] :
( ~ status('#skF_3'(S1_406,S2_407),'#skF_4'(S1_406,S2_407),S2_407)
| isa(S1_406,S2_407) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2012,plain,
! [S1_406] : isa(S1_406,'#skF_30'),
inference(resolution,[status(thm)],[c_80,c_1997]) ).
tff(c_1590,plain,
! [Ax_338,C_339,S2_340,S1_341] :
( status(Ax_338,C_339,S2_340)
| ~ status(Ax_338,C_339,S1_341)
| ~ isa(S1_341,S2_340) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_1606,plain,
! [Ax_342,C_343,S2_344] :
( status(Ax_342,C_343,S2_344)
| ~ isa('#skF_30',S2_344) ),
inference(resolution,[status(thm)],[c_80,c_1590]) ).
tff(c_8,plain,
! [Ax_15,C_16,S2_10,S1_9] :
( status(Ax_15,C_16,S2_10)
| ~ status(Ax_15,C_16,S1_9)
| ~ isa(S1_9,S2_10) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_1647,plain,
! [Ax_349,C_350,S2_351,S2_352] :
( status(Ax_349,C_350,S2_351)
| ~ isa(S2_352,S2_351)
| ~ isa('#skF_30',S2_352) ),
inference(resolution,[status(thm)],[c_1606,c_8]) ).
tff(c_1650,plain,
! [Ax_349,C_350] :
( status(Ax_349,C_350,'#skF_31')
| ~ isa('#skF_30','#skF_30') ),
inference(resolution,[status(thm)],[c_82,c_1647]) ).
tff(c_1696,plain,
~ isa('#skF_30','#skF_30'),
inference(splitLeft,[status(thm)],[c_1650]) ).
tff(c_2015,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2012,c_1696]) ).
tff(c_2023,plain,
! [Ax_408,C_409] : status(Ax_408,C_409,'#skF_31'),
inference(splitRight,[status(thm)],[c_1650]) ).
tff(c_2052,plain,
! [Ax_408,C_409,S1_25] :
( ~ status(Ax_408,C_409,S1_25)
| ~ nevera(S1_25,'#skF_31') ),
inference(resolution,[status(thm)],[c_2023,c_20]) ).
tff(c_4052,plain,
! [Ax_408,C_409,S1_25] : ~ status(Ax_408,C_409,S1_25),
inference(demodulation,[status(thm),theory(equality)],[c_3918,c_2052]) ).
tff(c_2016,plain,
! [Ax_349,C_350] : status(Ax_349,C_350,'#skF_31'),
inference(splitRight,[status(thm)],[c_1650]) ).
tff(c_4076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4052,c_2016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS180+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n003.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 : Tue Apr 8 03:01:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 6.15/2.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.15/2.57
% 6.15/2.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------