TSTP Solution File: TOP024+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 : Fri Sep 1 05:53:44 EDT 2023
% Result : Theorem 0.48s 0.73s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 57
% Syntax : Number of formulae : 91 ( 13 unt; 48 typ; 0 def)
% Number of atoms : 146 ( 21 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 165 ( 62 ~; 57 |; 23 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 41 >; 12 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-2 aty)
% Number of variables : 52 ( 1 sgn; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_pre_topc: $i > $o ).
tff(decl_24,type,
l1_pre_topc: $i > $o ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
k1_zfmisc_1: $i > $i ).
tff(decl_27,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_28,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(decl_29,type,
v1_tops_1: ( $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_membered: $i > $o ).
tff(decl_32,type,
v1_xcmplx_0: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_xreal_0: $i > $o ).
tff(decl_35,type,
v3_membered: $i > $o ).
tff(decl_36,type,
v1_rat_1: $i > $o ).
tff(decl_37,type,
v4_membered: $i > $o ).
tff(decl_38,type,
v1_int_1: $i > $o ).
tff(decl_39,type,
v5_membered: $i > $o ).
tff(decl_40,type,
v4_ordinal2: $i > $o ).
tff(decl_41,type,
v1_xboole_0: $i > $o ).
tff(decl_42,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_43,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_44,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_45,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_46,type,
k6_pre_topc: ( $i * $i ) > $i ).
tff(decl_47,type,
v1_tsp_1: ( $i * $i ) > $o ).
tff(decl_48,type,
k3_tex_4: ( $i * $i ) > $i ).
tff(decl_49,type,
l1_struct_0: $i > $o ).
tff(decl_50,type,
k2_pre_topc: $i > $i ).
tff(decl_51,type,
k1_xboole_0: $i ).
tff(decl_52,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_53,type,
esk1_0: $i ).
tff(decl_54,type,
esk2_0: $i ).
tff(decl_55,type,
esk3_0: $i ).
tff(decl_56,type,
esk4_0: $i ).
tff(decl_57,type,
esk5_1: $i > $i ).
tff(decl_58,type,
esk6_0: $i ).
tff(decl_59,type,
esk7_1: $i > $i ).
tff(decl_60,type,
esk8_1: $i > $i ).
tff(decl_61,type,
esk9_1: $i > $i ).
tff(decl_62,type,
esk10_1: $i > $i ).
tff(decl_63,type,
esk11_0: $i ).
tff(decl_64,type,
esk12_1: $i > $i ).
tff(decl_65,type,
esk13_1: $i > $i ).
tff(decl_66,type,
esk14_1: $i > $i ).
tff(decl_67,type,
esk15_1: $i > $i ).
tff(decl_68,type,
esk16_1: $i > $i ).
tff(decl_69,type,
esk17_1: $i > $i ).
fof(t64_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_tex_4) ).
fof(d5_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(fc9_tops_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> v1_tops_1(k2_pre_topc(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_tops_1) ).
fof(t12_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k2_pre_topc(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t2_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> v1_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(d2_tops_3,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tops_1(X2,X1)
<=> k6_pre_topc(X1,X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tops_3) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t64_tex_4]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_tsp_2]) ).
fof(c_0_11,plain,
! [X66] :
( ~ l1_pre_topc(X66)
| v1_tops_1(k2_pre_topc(X66),X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_tops_1])]) ).
fof(c_0_12,plain,
! [X90] :
( ~ l1_struct_0(X90)
| k2_pre_topc(X90) = u1_struct_0(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_pre_topc])]) ).
fof(c_0_13,plain,
! [X54] :
( ~ l1_pre_topc(X54)
| l1_struct_0(X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_14,plain,
! [X95,X96] :
( ( ~ m1_subset_1(X95,k1_zfmisc_1(X96))
| r1_tarski(X95,X96) )
& ( ~ r1_tarski(X95,X96)
| m1_subset_1(X95,k1_zfmisc_1(X96)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_15,plain,
! [X89] : r1_tarski(X89,X89),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_16,plain,
! [X105,X106] :
( v3_struct_0(X105)
| ~ v2_pre_topc(X105)
| ~ l1_pre_topc(X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| k6_pre_topc(X105,k3_tex_4(X105,X106)) = k6_pre_topc(X105,X106) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_17,plain,
! [X47,X48] :
( ( v1_tsp_1(X48,X47)
| ~ v1_tsp_2(X48,X47)
| ~ m1_subset_1(X48,k1_zfmisc_1(u1_struct_0(X47)))
| v3_struct_0(X47)
| ~ v2_pre_topc(X47)
| ~ l1_pre_topc(X47) )
& ( k3_tex_4(X47,X48) = u1_struct_0(X47)
| ~ v1_tsp_2(X48,X47)
| ~ m1_subset_1(X48,k1_zfmisc_1(u1_struct_0(X47)))
| v3_struct_0(X47)
| ~ v2_pre_topc(X47)
| ~ l1_pre_topc(X47) )
& ( ~ v1_tsp_1(X48,X47)
| k3_tex_4(X47,X48) != u1_struct_0(X47)
| v1_tsp_2(X48,X47)
| ~ m1_subset_1(X48,k1_zfmisc_1(u1_struct_0(X47)))
| v3_struct_0(X47)
| ~ v2_pre_topc(X47)
| ~ l1_pre_topc(X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> v1_tops_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t2_tsp_2])]) ).
fof(c_0_19,plain,
! [X45,X46] :
( ( ~ v1_tops_1(X46,X45)
| k6_pre_topc(X45,X46) = u1_struct_0(X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(X45)))
| ~ l1_pre_topc(X45) )
& ( k6_pre_topc(X45,X46) != u1_struct_0(X45)
| v1_tops_1(X46,X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(X45)))
| ~ l1_pre_topc(X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_3])])])]) ).
cnf(c_0_20,plain,
( v1_tops_1(k2_pre_topc(X1),X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( k2_pre_topc(X1) = u1_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( k3_tex_4(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& ~ v1_tops_1(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_28,plain,
( k6_pre_topc(X2,X1) = u1_struct_0(X2)
| ~ v1_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( v1_tops_1(u1_struct_0(X1),X1)
| ~ l1_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_30,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( k6_pre_topc(X1,u1_struct_0(X1)) = k6_pre_topc(X1,X2)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
~ v1_tops_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( v1_tops_1(X2,X1)
| k6_pre_topc(X1,X2) != u1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,plain,
( k6_pre_topc(X1,u1_struct_0(X1)) = u1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,negated_conjecture,
k6_pre_topc(esk1_0,u1_struct_0(esk1_0)) = k6_pre_topc(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_41,negated_conjecture,
k6_pre_topc(esk1_0,esk2_0) != u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34])]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 23:21:56 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.53 start to proof: theBenchmark
% 0.48/0.73 % Version : CSE_E---1.5
% 0.48/0.73 % Problem : theBenchmark.p
% 0.48/0.73 % Proof found
% 0.48/0.73 % SZS status Theorem for theBenchmark.p
% 0.48/0.73 % SZS output start Proof
% See solution above
% 0.48/0.74 % Total time : 0.193000 s
% 0.48/0.74 % SZS output end Proof
% 0.48/0.74 % Total time : 0.197000 s
%------------------------------------------------------------------------------