%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET791+4 : TPTP v9.0.0. Released v3.2.0.
% 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 : n016.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 08:39:15 PM UTC 2025
% Result : Theorem 23.17s 10.93s
% Output : CNFRefutation 23.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 12 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 118 ( 44 ~; 50 |; 11 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 83 ( 83 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ least_upper_bound > greatest_lower_bound > upper_bound > min > max > lower_bound > least > greatest > apply > total_order > order > member > #nlpp > #skF_13 > #skF_6 > #skF_18 > #skF_17 > #skF_12 > #skF_19 > #skF_3 > #skF_15 > #skF_16 > #skF_8 > #skF_11 > #skF_9 > #skF_14 > #skF_2 > #skF_7 > #skF_1 > #skF_5 > #skF_4 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(upper_bound,type,
upper_bound: ( $i * $i * $i ) > $o ).
tff(greatest_lower_bound,type,
greatest_lower_bound: ( $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(apply,type,
apply: ( $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(least_upper_bound,type,
least_upper_bound: ( $i * $i * $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(total_order,type,
total_order: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff(greatest,type,
greatest: ( $i * $i * $i ) > $o ).
tff(lower_bound,type,
lower_bound: ( $i * $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(min,type,
min: ( $i * $i * $i ) > $o ).
tff(least,type,
least: ( $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(order,type,
order: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(max,type,
max: ( $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_182,negated_conjecture,
~ ! [R,E,M] :
( ( order(R,E)
& greatest(M,R,E) )
=> max(M,R,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV3) ).
tff(f_116,axiom,
! [R,E,M] :
( greatest(M,R,E)
<=> ( member(M,E)
& ! [X] :
( member(X,E)
=> apply(R,X,M) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',greatest) ).
tff(f_136,axiom,
! [R,E,M] :
( max(M,R,E)
<=> ( member(M,E)
& ! [X] :
( ( member(X,E)
& apply(R,M,X) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',max) ).
tff(f_100,axiom,
! [R,E,M] :
( upper_bound(M,R,E)
<=> ! [X] :
( member(X,E)
=> apply(R,X,M) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).
tff(f_80,axiom,
! [R,E] :
( order(R,E)
<=> ( ! [X] :
( member(X,E)
=> apply(R,X,X) )
& ! [X,Y] :
( ( member(X,E)
& member(Y,E) )
=> ( ( apply(R,X,Y)
& apply(R,Y,X) )
=> ( X = Y ) ) )
& ! [X,Y,Z] :
( ( member(X,E)
& member(Y,E)
& member(Z,E) )
=> ( ( apply(R,X,Y)
& apply(R,Y,Z) )
=> apply(R,X,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',order) ).
tff(c_214,plain,
greatest('#skF_19','#skF_17','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_219,plain,
! [M_84,E_85,R_86] :
( member(M_84,E_85)
| ~ greatest(M_84,R_86,E_85) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_223,plain,
member('#skF_19','#skF_18'),
inference(resolution,[status(thm)],[c_214,c_219]) ).
tff(c_325,plain,
! [R_153,E_154,M_155] :
( ( '#skF_13'(R_153,E_154,M_155) != M_155 )
| max(M_155,R_153,E_154)
| ~ member(M_155,E_154) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_212,plain,
~ max('#skF_19','#skF_17','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_331,plain,
( ( '#skF_13'('#skF_17','#skF_18','#skF_19') != '#skF_19' )
| ~ member('#skF_19','#skF_18') ),
inference(resolution,[status(thm)],[c_325,c_212]) ).
tff(c_335,plain,
'#skF_13'('#skF_17','#skF_18','#skF_19') != '#skF_19',
inference(demodulation,[status(thm),theory(equality)],[c_223,c_331]) ).
tff(c_216,plain,
order('#skF_17','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_144,plain,
! [R_29,E_30,M_31] :
( member('#skF_9'(R_29,E_30,M_31),E_30)
| upper_bound(M_31,R_29,E_30) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_268,plain,
! [R_129,X_130,M_131,E_132] :
( apply(R_129,X_130,M_131)
| ~ member(X_130,E_132)
| ~ greatest(M_131,R_129,E_132) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_698,plain,
! [E_256,R_253,R_257,M_254,M_255] :
( apply(R_257,'#skF_9'(R_253,E_256,M_254),M_255)
| ~ greatest(M_255,R_257,E_256)
| upper_bound(M_254,R_253,E_256) ),
inference(resolution,[status(thm)],[c_144,c_268]) ).
tff(c_142,plain,
! [R_29,E_30,M_31] :
( ~ apply(R_29,'#skF_9'(R_29,E_30,M_31),M_31)
| upper_bound(M_31,R_29,E_30) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_719,plain,
! [M_255,R_253,E_256] :
( ~ greatest(M_255,R_253,E_256)
| upper_bound(M_255,R_253,E_256) ),
inference(resolution,[status(thm)],[c_698,c_142]) ).
tff(c_176,plain,
! [R_53,E_54,M_55] :
( member('#skF_13'(R_53,E_54,M_55),E_54)
| max(M_55,R_53,E_54)
| ~ member(M_55,E_54) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_375,plain,
! [R_170,E_171,M_172] :
( member('#skF_13'(R_170,E_171,M_172),E_171)
| max(M_172,R_170,E_171)
| ~ member(M_172,E_171) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_140,plain,
! [R_29,X_34,M_31,E_30] :
( apply(R_29,X_34,M_31)
| ~ member(X_34,E_30)
| ~ upper_bound(M_31,R_29,E_30) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_389,plain,
! [R_29,R_170,M_172,E_171,M_31] :
( apply(R_29,'#skF_13'(R_170,E_171,M_172),M_31)
| ~ upper_bound(M_31,R_29,E_171)
| max(M_172,R_170,E_171)
| ~ member(M_172,E_171) ),
inference(resolution,[status(thm)],[c_375,c_140]) ).
tff(c_174,plain,
! [R_53,M_55,E_54] :
( apply(R_53,M_55,'#skF_13'(R_53,E_54,M_55))
| max(M_55,R_53,E_54)
| ~ member(M_55,E_54) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_1597,plain,
! [Y_446,X_447,R_448,E_449] :
( ( Y_446 = X_447 )
| ~ apply(R_448,Y_446,X_447)
| ~ apply(R_448,X_447,Y_446)
| ~ member(Y_446,E_449)
| ~ member(X_447,E_449)
| ~ order(R_448,E_449) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_47219,plain,
! [R_3112,E_3113,M_3114,E_3115] :
( ( '#skF_13'(R_3112,E_3113,M_3114) = M_3114 )
| ~ apply(R_3112,'#skF_13'(R_3112,E_3113,M_3114),M_3114)
| ~ member(M_3114,E_3115)
| ~ member('#skF_13'(R_3112,E_3113,M_3114),E_3115)
| ~ order(R_3112,E_3115)
| max(M_3114,R_3112,E_3113)
| ~ member(M_3114,E_3113) ),
inference(resolution,[status(thm)],[c_174,c_1597]) ).
tff(c_49125,plain,
! [R_3143,E_3144,M_3145,E_3146] :
( ( '#skF_13'(R_3143,E_3144,M_3145) = M_3145 )
| ~ member(M_3145,E_3146)
| ~ member('#skF_13'(R_3143,E_3144,M_3145),E_3146)
| ~ order(R_3143,E_3146)
| ~ upper_bound(M_3145,R_3143,E_3144)
| max(M_3145,R_3143,E_3144)
| ~ member(M_3145,E_3144) ),
inference(resolution,[status(thm)],[c_389,c_47219]) ).
tff(c_49130,plain,
! [R_3147,E_3148,M_3149] :
( ( '#skF_13'(R_3147,E_3148,M_3149) = M_3149 )
| ~ order(R_3147,E_3148)
| ~ upper_bound(M_3149,R_3147,E_3148)
| max(M_3149,R_3147,E_3148)
| ~ member(M_3149,E_3148) ),
inference(resolution,[status(thm)],[c_176,c_49125]) ).
tff(c_49149,plain,
! [R_3150,E_3151,M_3152] :
( ( '#skF_13'(R_3150,E_3151,M_3152) = M_3152 )
| ~ order(R_3150,E_3151)
| max(M_3152,R_3150,E_3151)
| ~ member(M_3152,E_3151)
| ~ greatest(M_3152,R_3150,E_3151) ),
inference(resolution,[status(thm)],[c_719,c_49130]) ).
tff(c_49323,plain,
( ( '#skF_13'('#skF_17','#skF_18','#skF_19') = '#skF_19' )
| ~ order('#skF_17','#skF_18')
| ~ member('#skF_19','#skF_18')
| ~ greatest('#skF_19','#skF_17','#skF_18') ),
inference(resolution,[status(thm)],[c_49149,c_212]) ).
tff(c_49389,plain,
'#skF_13'('#skF_17','#skF_18','#skF_19') = '#skF_19',
inference(demodulation,[status(thm),theory(equality)],[c_214,c_223,c_216,c_49323]) ).
tff(c_49391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335,c_49389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET791+4 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.13 % 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
% 0.12/0.34 % Computer : n016.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 : Tue Apr 8 21:39:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 23.17/10.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.17/10.93
% 23.17/10.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------