TSTP Solution File: SEU323-10 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU323-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n020.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 10:58:25 EDT 2023
% Result : Unsatisfiable 5.23s 2.31s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 55 ( 33 unt; 22 typ; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 30 ( 17 >; 13 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq2 > ifeq > topstr_closure > subset_complement > subset > open_subset > interior > element > closed_subset > #nlpp > topological_space > top_str > the_carrier > sK7_rc6_pre_topc_B > sK4_existence_m1_subset_1_B > sK3_rc1_tops_1_B > powerset > one_sorted_str > true > sK6_existence_l1_struct_0_A > sK5_existence_l1_pre_topc_A > sK2_t51_tops_1_A > sK1_t51_tops_1_B
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sK1_t51_tops_1_B,type,
sK1_t51_tops_1_B: $i ).
tff(subset,type,
subset: ( $i * $i ) > $i ).
tff(topstr_closure,type,
topstr_closure: ( $i * $i ) > $i ).
tff(sK3_rc1_tops_1_B,type,
sK3_rc1_tops_1_B: $i > $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(sK6_existence_l1_struct_0_A,type,
sK6_existence_l1_struct_0_A: $i ).
tff(topological_space,type,
topological_space: $i > $i ).
tff(top_str,type,
top_str: $i > $i ).
tff(ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(sK2_t51_tops_1_A,type,
sK2_t51_tops_1_A: $i ).
tff(sK7_rc6_pre_topc_B,type,
sK7_rc6_pre_topc_B: $i > $i ).
tff(sK4_existence_m1_subset_1_B,type,
sK4_existence_m1_subset_1_B: $i > $i ).
tff(open_subset,type,
open_subset: ( $i * $i ) > $i ).
tff(interior,type,
interior: ( $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $i ).
tff(true,type,
true: $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(subset_complement,type,
subset_complement: ( $i * $i ) > $i ).
tff(sK5_existence_l1_pre_topc_A,type,
sK5_existence_l1_pre_topc_A: $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(closed_subset,type,
closed_subset: ( $i * $i ) > $i ).
tff(f_67,axiom,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_63,axiom,
top_str(sK2_t51_tops_1_A) = true,
file(unknown,unknown) ).
tff(f_64,axiom,
topological_space(sK2_t51_tops_1_A) = true,
file(unknown,unknown) ).
tff(f_65,axiom,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
file(unknown,unknown) ).
tff(f_39,axiom,
! [B,A] : ( ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true) = true ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [B,A] : ( ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,B),A),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq2(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [B,A] : ( ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))),interior(A,B)),interior(A,B)) = interior(A,B) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [B,A] : ( ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(topstr_closure(A,B),powerset(the_carrier(A))),true),true) = true ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [B,A] : ( ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true ),
file(unknown,unknown) ).
tff(c_50,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_4,plain,
! [A_4,B_5,C_6] : ( ifeq(A_4,A_4,B_5,C_6) = B_5 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_44,plain,
top_str(sK2_t51_tops_1_A) = true,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_46,plain,
topological_space(sK2_t51_tops_1_A) = true,
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_48,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_289,plain,
! [B_52,A_53] : ( ifeq(element(B_52,powerset(A_53)),true,element(subset_complement(A_53,B_52),powerset(A_53)),true) = true ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_299,plain,
ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_48,c_289]) ).
tff(c_1848,plain,
element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(superposition,[status(thm),theory(equality)],[c_299,c_4]) ).
tff(c_22,plain,
! [B_18,A_19] : ( ifeq(element(B_18,powerset(the_carrier(A_19))),true,ifeq(topological_space(A_19),true,ifeq(top_str(A_19),true,closed_subset(topstr_closure(A_19,B_18),A_19),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1869,plain,
ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_1848,c_22]) ).
tff(c_1896,plain,
closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_44,c_46,c_1869]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq2(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_894,plain,
! [B_68,A_69] : ( ifeq2(element(B_68,powerset(the_carrier(A_69))),true,ifeq2(top_str(A_69),true,subset_complement(the_carrier(A_69),topstr_closure(A_69,subset_complement(the_carrier(A_69),B_68))),interior(A_69,B_68)),interior(A_69,B_68)) = interior(A_69,B_68) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_935,plain,
ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(superposition,[status(thm),theory(equality)],[c_48,c_894]) ).
tff(c_956,plain,
subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_44,c_935]) ).
tff(c_20,plain,
! [B_16,A_17] : ( ifeq(element(B_16,powerset(the_carrier(A_17))),true,ifeq(top_str(A_17),true,element(topstr_closure(A_17,B_16),powerset(the_carrier(A_17))),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1875,plain,
ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_1848,c_20]) ).
tff(c_1898,plain,
element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_44,c_1875]) ).
tff(c_6,plain,
! [B_7,A_8] : ( ifeq(element(B_7,powerset(the_carrier(A_8))),true,ifeq(closed_subset(B_7,A_8),true,ifeq(topological_space(A_8),true,ifeq(top_str(A_8),true,open_subset(subset_complement(the_carrier(A_8),B_7),A_8),true),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2197,plain,
ifeq(true,true,ifeq(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_1898,c_6]) ).
tff(c_2230,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1896,c_956,c_4,c_4,c_4,c_44,c_46,c_2197]) ).
tff(c_2232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50,c_2230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU323-10 : TPTP v8.1.2. Released v7.3.0.
% 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
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 11:51:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 5.23/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/2.32
% 5.23/2.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.69/2.35
% 5.69/2.35 Inference rules
% 5.69/2.35 ----------------------
% 5.69/2.35 #Ref : 0
% 5.69/2.35 #Sup : 642
% 5.69/2.35 #Fact : 0
% 5.69/2.35 #Define : 0
% 5.69/2.35 #Split : 0
% 5.69/2.35 #Chain : 0
% 5.69/2.35 #Close : 0
% 5.69/2.35
% 5.69/2.35 Ordering : KBO
% 5.69/2.35
% 5.69/2.35 Simplification rules
% 5.69/2.35 ----------------------
% 5.69/2.35 #Subsume : 0
% 5.69/2.35 #Demod : 1092
% 5.69/2.35 #Tautology : 344
% 5.69/2.35 #SimpNegUnit : 1
% 5.69/2.35 #BackRed : 21
% 5.69/2.35
% 5.69/2.35 #Partial instantiations: 0
% 5.69/2.35 #Strategies tried : 1
% 5.69/2.35
% 5.69/2.35 Timing (in seconds)
% 5.69/2.35 ----------------------
% 5.69/2.35 Preprocessing : 0.51
% 5.69/2.35 Parsing : 0.28
% 5.69/2.35 CNF conversion : 0.02
% 5.69/2.35 Main loop : 0.77
% 5.69/2.35 Inferencing : 0.23
% 5.69/2.35 Reduction : 0.34
% 5.69/2.35 Demodulation : 0.28
% 5.69/2.35 BG Simplification : 0.03
% 5.69/2.35 Subsumption : 0.13
% 5.69/2.35 Abstraction : 0.03
% 5.69/2.35 MUC search : 0.00
% 5.69/2.35 Cooper : 0.00
% 5.69/2.35 Total : 1.33
% 5.69/2.35 Index Insertion : 0.00
% 5.69/2.35 Index Deletion : 0.00
% 5.69/2.35 Index Matching : 0.00
% 5.69/2.35 BG Taut test : 0.00
%------------------------------------------------------------------------------