TSTP Solution File: SEU294+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU294+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n001.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 10:58:18 EDT 2023
% Result : Theorem 4.87s 2.19s
% Output : CNFRefutation 4.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 39
% Syntax : Number of formulae : 48 ( 5 unt; 36 typ; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 6 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 19 >; 3 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 17 con; 0-1 aty)
% Number of variables : 12 (; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > ordinal > one_to_one > natural > function > finite > epsilon_transitive > epsilon_connected > empty > #nlpp > powerset > empty_set > #skF_9 > #skF_7 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_1 > #skF_19 > #skF_10 > #skF_16 > #skF_15 > #skF_14 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_21 > #skF_8 > #skF_13 > #skF_4 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(relation,type,
relation: $i > $o ).
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_1',type,
'#skF_1': $i > $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_276,negated_conjecture,
~ ! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
tff(f_290,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
tff(f_79,axiom,
! [A] :
( finite(A)
=> ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
tff(c_198,plain,
~ finite('#skF_20'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_200,plain,
finite('#skF_21'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_202,plain,
subset('#skF_20','#skF_21'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_210,plain,
! [A_34,B_35] :
( element(A_34,powerset(B_35))
| ~ subset(A_34,B_35) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_642,plain,
! [B_110,A_111] :
( finite(B_110)
| ~ element(B_110,powerset(A_111))
| ~ finite(A_111) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_697,plain,
! [A_119,B_120] :
( finite(A_119)
| ~ finite(B_120)
| ~ subset(A_119,B_120) ),
inference(resolution,[status(thm)],[c_210,c_642]) ).
tff(c_715,plain,
( finite('#skF_20')
| ~ finite('#skF_21') ),
inference(resolution,[status(thm)],[c_202,c_697]) ).
tff(c_724,plain,
finite('#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_715]) ).
tff(c_726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU294+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:34:25 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.87/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.87/2.19
% 4.87/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.87/2.21
% 4.87/2.21 Inference rules
% 4.87/2.21 ----------------------
% 4.87/2.21 #Ref : 0
% 4.87/2.21 #Sup : 92
% 4.87/2.21 #Fact : 0
% 4.87/2.21 #Define : 0
% 4.87/2.21 #Split : 3
% 4.87/2.21 #Chain : 0
% 4.87/2.21 #Close : 0
% 4.87/2.21
% 4.87/2.21 Ordering : KBO
% 4.87/2.21
% 4.87/2.21 Simplification rules
% 4.87/2.21 ----------------------
% 4.87/2.21 #Subsume : 17
% 4.87/2.21 #Demod : 93
% 4.87/2.21 #Tautology : 75
% 4.87/2.21 #SimpNegUnit : 1
% 4.87/2.21 #BackRed : 31
% 4.87/2.21
% 4.87/2.21 #Partial instantiations: 0
% 4.87/2.21 #Strategies tried : 1
% 4.87/2.21
% 4.87/2.21 Timing (in seconds)
% 4.87/2.21 ----------------------
% 4.87/2.22 Preprocessing : 0.60
% 4.87/2.22 Parsing : 0.33
% 4.87/2.22 CNF conversion : 0.05
% 4.87/2.22 Main loop : 0.53
% 4.87/2.22 Inferencing : 0.18
% 4.87/2.22 Reduction : 0.17
% 4.87/2.22 Demodulation : 0.12
% 4.87/2.22 BG Simplification : 0.03
% 4.87/2.22 Subsumption : 0.09
% 4.87/2.22 Abstraction : 0.01
% 4.87/2.22 MUC search : 0.00
% 4.87/2.22 Cooper : 0.00
% 4.87/2.22 Total : 1.18
% 4.87/2.22 Index Insertion : 0.00
% 4.87/2.22 Index Deletion : 0.00
% 4.87/2.22 Index Matching : 0.00
% 4.87/2.22 BG Taut test : 0.00
%------------------------------------------------------------------------------