TSTP Solution File: SEU375+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU375+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 : n025.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 10:58:34 EDT 2023
% Result : Theorem 4.81s 2.10s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 49
% Syntax : Number of formulae : 95 ( 25 unt; 41 typ; 0 def)
% Number of atoms : 172 ( 6 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 196 ( 78 ~; 79 |; 13 &)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 22 >; 12 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subnetstr > related > full_subnetstr > subrelstr > net_str > in > full_subrelstr > element > v1_yellow_3 > relation_empty_yielding > relation > rel_str > one_to_one > one_sorted_str > function > empty_carrier > empty > #nlpp > the_carrier > empty_set > #skF_5 > #skF_6 > #skF_20 > #skF_4 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_19 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_13 > #skF_2 > #skF_1 > #skF_21 > #skF_9 > #skF_8 > #skF_3 > #skF_22 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(empty_carrier,type,
empty_carrier: $i > $o ).
tff(subrelstr,type,
subrelstr: ( $i * $i ) > $o ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(full_subnetstr,type,
full_subnetstr: ( $i * $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(related,type,
related: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(subnetstr,type,
subnetstr: ( $i * $i * $i ) > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $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(net_str,type,
net_str: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(full_subrelstr,type,
full_subrelstr: ( $i * $i ) > $o ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff(v1_yellow_3,type,
v1_yellow_3: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_234,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( ( ~ empty_carrier(B)
& net_str(B,A) )
=> ! [C] :
( ( ~ empty_carrier(C)
& full_subnetstr(C,A,B)
& subnetstr(C,A,B) )
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( ( D = F )
& ( E = G )
& related(B,D,E) )
=> related(C,F,G) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_yellow_6) ).
tff(f_107,axiom,
! [A,B] :
( ( one_sorted_str(A)
& net_str(B,A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
tff(f_91,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
tff(f_84,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
tff(f_79,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ( full_subnetstr(C,A,B)
<=> ( full_subrelstr(C,B)
& subrelstr(C,B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_6) ).
tff(f_240,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
tff(f_271,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ( full_subrelstr(B,A)
& subrelstr(B,A) )
=> ! [C] :
( element(C,the_carrier(A))
=> ! [D] :
( element(D,the_carrier(A))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(B))
=> ( ( ( E = C )
& ( F = D )
& related(A,C,D)
& in(E,the_carrier(B))
& in(F,the_carrier(B)) )
=> related(B,E,F) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_yellow_0) ).
tff(f_144,axiom,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ~ empty(the_carrier(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(c_130,plain,
~ empty_carrier('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_136,plain,
one_sorted_str('#skF_16'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_132,plain,
net_str('#skF_17','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_126,plain,
subnetstr('#skF_18','#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_311,plain,
! [C_260,A_261,B_262] :
( net_str(C_260,A_261)
| ~ subnetstr(C_260,A_261,B_262)
| ~ net_str(B_262,A_261)
| ~ one_sorted_str(A_261) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_317,plain,
( net_str('#skF_18','#skF_16')
| ~ net_str('#skF_17','#skF_16')
| ~ one_sorted_str('#skF_16') ),
inference(resolution,[status(thm)],[c_126,c_311]) ).
tff(c_321,plain,
net_str('#skF_18','#skF_16'),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_132,c_317]) ).
tff(c_30,plain,
! [B_18,A_16] :
( rel_str(B_18)
| ~ net_str(B_18,A_16)
| ~ one_sorted_str(A_16) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_324,plain,
( rel_str('#skF_18')
| ~ one_sorted_str('#skF_16') ),
inference(resolution,[status(thm)],[c_321,c_30]) ).
tff(c_327,plain,
rel_str('#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_324]) ).
tff(c_26,plain,
! [A_15] :
( one_sorted_str(A_15)
| ~ rel_str(A_15) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_331,plain,
one_sorted_str('#skF_18'),
inference(resolution,[status(thm)],[c_327,c_26]) ).
tff(c_110,plain,
~ related('#skF_18','#skF_21','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_118,plain,
element('#skF_22',the_carrier('#skF_18')),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_128,plain,
full_subnetstr('#skF_18','#skF_16','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_337,plain,
! [C_265,B_266,A_267] :
( full_subrelstr(C_265,B_266)
| ~ full_subnetstr(C_265,A_267,B_266)
| ~ subnetstr(C_265,A_267,B_266)
| ~ net_str(B_266,A_267)
| ~ one_sorted_str(A_267) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_343,plain,
( full_subrelstr('#skF_18','#skF_17')
| ~ full_subnetstr('#skF_18','#skF_16','#skF_17')
| ~ net_str('#skF_17','#skF_16')
| ~ one_sorted_str('#skF_16') ),
inference(resolution,[status(thm)],[c_126,c_337]) ).
tff(c_347,plain,
full_subrelstr('#skF_18','#skF_17'),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_132,c_128,c_343]) ).
tff(c_358,plain,
! [C_272,B_273,A_274] :
( subrelstr(C_272,B_273)
| ~ full_subnetstr(C_272,A_274,B_273)
| ~ subnetstr(C_272,A_274,B_273)
| ~ net_str(B_273,A_274)
| ~ one_sorted_str(A_274) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_364,plain,
( subrelstr('#skF_18','#skF_17')
| ~ full_subnetstr('#skF_18','#skF_16','#skF_17')
| ~ net_str('#skF_17','#skF_16')
| ~ one_sorted_str('#skF_16') ),
inference(resolution,[status(thm)],[c_126,c_358]) ).
tff(c_368,plain,
subrelstr('#skF_18','#skF_17'),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_132,c_128,c_364]) ).
tff(c_120,plain,
element('#skF_21',the_carrier('#skF_18')),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_230,plain,
! [B_250,A_251] :
( rel_str(B_250)
| ~ net_str(B_250,A_251)
| ~ one_sorted_str(A_251) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_236,plain,
( rel_str('#skF_17')
| ~ one_sorted_str('#skF_16') ),
inference(resolution,[status(thm)],[c_132,c_230]) ).
tff(c_240,plain,
rel_str('#skF_17'),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_236]) ).
tff(c_116,plain,
'#skF_19' = '#skF_21',
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_124,plain,
element('#skF_19',the_carrier('#skF_17')),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_147,plain,
element('#skF_21',the_carrier('#skF_17')),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_124]) ).
tff(c_114,plain,
'#skF_20' = '#skF_22',
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_122,plain,
element('#skF_20',the_carrier('#skF_17')),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_148,plain,
element('#skF_22',the_carrier('#skF_17')),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_122]) ).
tff(c_112,plain,
related('#skF_17','#skF_19','#skF_20'),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_149,plain,
related('#skF_17','#skF_21','#skF_22'),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_114,c_112]) ).
tff(c_138,plain,
! [A_158,B_159] :
( in(A_158,B_159)
| empty(B_159)
| ~ element(A_158,B_159) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_410,plain,
! [B_287,E_288,F_289,A_290] :
( related(B_287,E_288,F_289)
| ~ in(F_289,the_carrier(B_287))
| ~ in(E_288,the_carrier(B_287))
| ~ related(A_290,E_288,F_289)
| ~ element(F_289,the_carrier(B_287))
| ~ element(E_288,the_carrier(B_287))
| ~ element(F_289,the_carrier(A_290))
| ~ element(E_288,the_carrier(A_290))
| ~ subrelstr(B_287,A_290)
| ~ full_subrelstr(B_287,A_290)
| ~ rel_str(A_290) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_424,plain,
! [B_293,E_294,A_295,A_296] :
( related(B_293,E_294,A_295)
| ~ in(E_294,the_carrier(B_293))
| ~ related(A_296,E_294,A_295)
| ~ element(E_294,the_carrier(B_293))
| ~ element(A_295,the_carrier(A_296))
| ~ element(E_294,the_carrier(A_296))
| ~ subrelstr(B_293,A_296)
| ~ full_subrelstr(B_293,A_296)
| ~ rel_str(A_296)
| empty(the_carrier(B_293))
| ~ element(A_295,the_carrier(B_293)) ),
inference(resolution,[status(thm)],[c_138,c_410]) ).
tff(c_429,plain,
! [B_297,A_298,A_299,A_300] :
( related(B_297,A_298,A_299)
| ~ related(A_300,A_298,A_299)
| ~ element(A_299,the_carrier(A_300))
| ~ element(A_298,the_carrier(A_300))
| ~ subrelstr(B_297,A_300)
| ~ full_subrelstr(B_297,A_300)
| ~ rel_str(A_300)
| ~ element(A_299,the_carrier(B_297))
| empty(the_carrier(B_297))
| ~ element(A_298,the_carrier(B_297)) ),
inference(resolution,[status(thm)],[c_138,c_424]) ).
tff(c_431,plain,
! [B_297] :
( related(B_297,'#skF_21','#skF_22')
| ~ element('#skF_22',the_carrier('#skF_17'))
| ~ element('#skF_21',the_carrier('#skF_17'))
| ~ subrelstr(B_297,'#skF_17')
| ~ full_subrelstr(B_297,'#skF_17')
| ~ rel_str('#skF_17')
| ~ element('#skF_22',the_carrier(B_297))
| empty(the_carrier(B_297))
| ~ element('#skF_21',the_carrier(B_297)) ),
inference(resolution,[status(thm)],[c_149,c_429]) ).
tff(c_435,plain,
! [B_301] :
( related(B_301,'#skF_21','#skF_22')
| ~ subrelstr(B_301,'#skF_17')
| ~ full_subrelstr(B_301,'#skF_17')
| ~ element('#skF_22',the_carrier(B_301))
| empty(the_carrier(B_301))
| ~ element('#skF_21',the_carrier(B_301)) ),
inference(demodulation,[status(thm),theory(equality)],[c_240,c_147,c_148,c_431]) ).
tff(c_441,plain,
( related('#skF_18','#skF_21','#skF_22')
| ~ subrelstr('#skF_18','#skF_17')
| ~ full_subrelstr('#skF_18','#skF_17')
| ~ element('#skF_22',the_carrier('#skF_18'))
| empty(the_carrier('#skF_18')) ),
inference(resolution,[status(thm)],[c_120,c_435]) ).
tff(c_447,plain,
( related('#skF_18','#skF_21','#skF_22')
| empty(the_carrier('#skF_18')) ),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_347,c_368,c_441]) ).
tff(c_448,plain,
empty(the_carrier('#skF_18')),
inference(negUnitSimplification,[status(thm)],[c_110,c_447]) ).
tff(c_58,plain,
! [A_35] :
( ~ empty(the_carrier(A_35))
| ~ one_sorted_str(A_35)
| empty_carrier(A_35) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_451,plain,
( ~ one_sorted_str('#skF_18')
| empty_carrier('#skF_18') ),
inference(resolution,[status(thm)],[c_448,c_58]) ).
tff(c_459,plain,
empty_carrier('#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_331,c_451]) ).
tff(c_461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU375+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/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 : n025.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 12:23:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.81/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/2.11
% 4.81/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.81/2.14
% 4.81/2.14 Inference rules
% 4.81/2.14 ----------------------
% 4.81/2.14 #Ref : 0
% 4.81/2.14 #Sup : 60
% 4.81/2.14 #Fact : 0
% 4.81/2.14 #Define : 0
% 4.81/2.14 #Split : 7
% 4.81/2.14 #Chain : 0
% 4.81/2.14 #Close : 0
% 4.81/2.14
% 4.81/2.14 Ordering : KBO
% 4.81/2.14
% 4.81/2.14 Simplification rules
% 4.81/2.14 ----------------------
% 4.81/2.14 #Subsume : 6
% 4.81/2.14 #Demod : 51
% 4.81/2.14 #Tautology : 30
% 4.81/2.14 #SimpNegUnit : 2
% 4.81/2.14 #BackRed : 7
% 4.81/2.14
% 4.81/2.14 #Partial instantiations: 0
% 4.81/2.14 #Strategies tried : 1
% 4.81/2.14
% 4.81/2.14 Timing (in seconds)
% 4.81/2.14 ----------------------
% 4.81/2.15 Preprocessing : 0.62
% 4.81/2.15 Parsing : 0.32
% 4.81/2.15 CNF conversion : 0.06
% 4.81/2.15 Main loop : 0.45
% 4.81/2.15 Inferencing : 0.16
% 4.81/2.15 Reduction : 0.14
% 4.81/2.15 Demodulation : 0.09
% 4.81/2.15 BG Simplification : 0.03
% 4.81/2.15 Subsumption : 0.08
% 4.81/2.15 Abstraction : 0.01
% 4.81/2.15 MUC search : 0.00
% 4.81/2.15 Cooper : 0.00
% 4.81/2.15 Total : 1.13
% 4.81/2.15 Index Insertion : 0.00
% 4.81/2.15 Index Deletion : 0.00
% 4.81/2.15 Index Matching : 0.00
% 4.81/2.15 BG Taut test : 0.00
%------------------------------------------------------------------------------