TSTP Solution File: SEU341+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU341+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/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 : Tue Aug 22 10:58:28 EDT 2023
% Result : Theorem 5.90s 2.49s
% Output : CNFRefutation 6.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 37
% Syntax : Number of formulae : 59 ( 12 unt; 34 typ; 0 def)
% Number of atoms : 78 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 89 ( 36 ~; 32 |; 7 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 27 >; 8 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ point_neighbourhood > subset > open_subset > in > element > v5_membered > v4_membered > v3_membered > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_rat_1 > v1_membered > v1_int_1 > topological_space > top_str > one_sorted_str > natural > empty_carrier > empty > interior > #nlpp > the_carrier > powerset > empty_set > #skF_7 > #skF_4 > #skF_3 > #skF_10 > #skF_5 > #skF_2 > #skF_1 > #skF_9 > #skF_8 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(empty_carrier,type,
empty_carrier: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(open_subset,type,
open_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(interior,type,
interior: ( $i * $i ) > $i ).
tff(point_neighbourhood,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(topological_space,type,
topological_space: $i > $o ).
tff(top_str,type,
top_str: $i > $o ).
tff(f_334,negated_conjecture,
~ ! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,the_carrier(A))
=> ( ( open_subset(B,A)
& in(C,B) )
=> point_neighbourhood(B,A,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
tff(f_314,axiom,
! [A] :
( ( topological_space(A)
& top_str(A) )
=> ! [B] :
( top_str(B)
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ! [D] :
( element(D,powerset(the_carrier(B)))
=> ( ( open_subset(D,B)
=> ( interior(B,D) = D ) )
& ( ( interior(A,C) = C )
=> open_subset(C,A) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
tff(f_186,axiom,
! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ( point_neighbourhood(C,A,B)
<=> in(B,interior(A,C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_connsp_2) ).
tff(c_160,plain,
~ point_neighbourhood('#skF_9','#skF_8','#skF_10'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_162,plain,
in('#skF_10','#skF_9'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_166,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_174,plain,
~ empty_carrier('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_172,plain,
topological_space('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_170,plain,
top_str('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_168,plain,
element('#skF_9',powerset(the_carrier('#skF_8'))),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_164,plain,
open_subset('#skF_9','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_158,plain,
! [B_81,D_87,C_85,A_73] :
( ( interior(B_81,D_87) = D_87 )
| ~ open_subset(D_87,B_81)
| ~ element(D_87,powerset(the_carrier(B_81)))
| ~ element(C_85,powerset(the_carrier(A_73)))
| ~ top_str(B_81)
| ~ top_str(A_73)
| ~ topological_space(A_73) ),
inference(cnfTransformation,[status(thm)],[f_314]) ).
tff(c_2223,plain,
! [C_315,A_316] :
( ~ element(C_315,powerset(the_carrier(A_316)))
| ~ top_str(A_316)
| ~ topological_space(A_316) ),
inference(splitLeft,[status(thm)],[c_158]) ).
tff(c_2243,plain,
( ~ top_str('#skF_8')
| ~ topological_space('#skF_8') ),
inference(resolution,[status(thm)],[c_168,c_2223]) ).
tff(c_2252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172,c_170,c_2243]) ).
tff(c_2304,plain,
! [B_321,D_322] :
( ( interior(B_321,D_322) = D_322 )
| ~ open_subset(D_322,B_321)
| ~ element(D_322,powerset(the_carrier(B_321)))
| ~ top_str(B_321) ),
inference(splitRight,[status(thm)],[c_158]) ).
tff(c_2326,plain,
( ( interior('#skF_8','#skF_9') = '#skF_9' )
| ~ open_subset('#skF_9','#skF_8')
| ~ top_str('#skF_8') ),
inference(resolution,[status(thm)],[c_168,c_2304]) ).
tff(c_2334,plain,
interior('#skF_8','#skF_9') = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_170,c_164,c_2326]) ).
tff(c_2391,plain,
! [C_328,A_329,B_330] :
( point_neighbourhood(C_328,A_329,B_330)
| ~ in(B_330,interior(A_329,C_328))
| ~ element(C_328,powerset(the_carrier(A_329)))
| ~ element(B_330,the_carrier(A_329))
| ~ top_str(A_329)
| ~ topological_space(A_329)
| empty_carrier(A_329) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_2393,plain,
! [B_330] :
( point_neighbourhood('#skF_9','#skF_8',B_330)
| ~ in(B_330,'#skF_9')
| ~ element('#skF_9',powerset(the_carrier('#skF_8')))
| ~ element(B_330,the_carrier('#skF_8'))
| ~ top_str('#skF_8')
| ~ topological_space('#skF_8')
| empty_carrier('#skF_8') ),
inference(superposition,[status(thm),theory(equality)],[c_2334,c_2391]) ).
tff(c_2398,plain,
! [B_330] :
( point_neighbourhood('#skF_9','#skF_8',B_330)
| ~ in(B_330,'#skF_9')
| ~ element(B_330,the_carrier('#skF_8'))
| empty_carrier('#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_170,c_168,c_2393]) ).
tff(c_2408,plain,
! [B_335] :
( point_neighbourhood('#skF_9','#skF_8',B_335)
| ~ in(B_335,'#skF_9')
| ~ element(B_335,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_174,c_2398]) ).
tff(c_2418,plain,
( point_neighbourhood('#skF_9','#skF_8','#skF_10')
| ~ in('#skF_10','#skF_9') ),
inference(resolution,[status(thm)],[c_166,c_2408]) ).
tff(c_2423,plain,
point_neighbourhood('#skF_9','#skF_8','#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_2418]) ).
tff(c_2425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160,c_2423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:13:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.90/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.90/2.49
% 5.90/2.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.80/2.52
% 6.80/2.52 Inference rules
% 6.80/2.52 ----------------------
% 6.80/2.52 #Ref : 0
% 6.80/2.52 #Sup : 481
% 6.80/2.52 #Fact : 0
% 6.80/2.52 #Define : 0
% 6.80/2.52 #Split : 23
% 6.80/2.52 #Chain : 0
% 6.80/2.52 #Close : 0
% 6.80/2.52
% 6.80/2.52 Ordering : KBO
% 6.80/2.52
% 6.80/2.52 Simplification rules
% 6.80/2.52 ----------------------
% 6.80/2.52 #Subsume : 246
% 6.80/2.52 #Demod : 72
% 6.80/2.52 #Tautology : 76
% 6.80/2.52 #SimpNegUnit : 46
% 6.80/2.52 #BackRed : 1
% 6.80/2.52
% 6.80/2.52 #Partial instantiations: 0
% 6.80/2.52 #Strategies tried : 1
% 6.80/2.52
% 6.80/2.52 Timing (in seconds)
% 6.80/2.52 ----------------------
% 6.80/2.53 Preprocessing : 0.61
% 6.80/2.53 Parsing : 0.33
% 6.80/2.53 CNF conversion : 0.05
% 6.80/2.53 Main loop : 0.86
% 6.80/2.53 Inferencing : 0.32
% 6.80/2.53 Reduction : 0.24
% 6.80/2.53 Demodulation : 0.15
% 6.80/2.53 BG Simplification : 0.04
% 6.80/2.53 Subsumption : 0.18
% 6.80/2.53 Abstraction : 0.02
% 6.80/2.53 MUC search : 0.00
% 6.80/2.53 Cooper : 0.00
% 6.80/2.53 Total : 1.52
% 6.80/2.53 Index Insertion : 0.00
% 6.80/2.53 Index Deletion : 0.00
% 6.80/2.53 Index Matching : 0.00
% 6.80/2.53 BG Taut test : 0.00
%------------------------------------------------------------------------------