TSTP Solution File: TOP025+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 05:53:47 EDT 2023
% Result : Theorem 0.56s 0.61s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 51
% Syntax : Number of formulae : 79 ( 11 unt; 46 typ; 0 def)
% Number of atoms : 142 ( 21 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 167 ( 58 ~; 54 |; 31 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 39 >; 11 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn; 26 !; 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,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_29,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_30,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_tex_2: ( $i * $i ) > $o ).
tff(decl_32,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_membered: $i > $o ).
tff(decl_34,type,
v1_xcmplx_0: $i > $o ).
tff(decl_35,type,
v2_membered: $i > $o ).
tff(decl_36,type,
v1_xreal_0: $i > $o ).
tff(decl_37,type,
v3_membered: $i > $o ).
tff(decl_38,type,
v1_rat_1: $i > $o ).
tff(decl_39,type,
v4_membered: $i > $o ).
tff(decl_40,type,
v1_int_1: $i > $o ).
tff(decl_41,type,
v5_membered: $i > $o ).
tff(decl_42,type,
v4_ordinal2: $i > $o ).
tff(decl_43,type,
v1_xboole_0: $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,
v1_tsp_1: ( $i * $i ) > $o ).
tff(decl_47,type,
k3_tex_4: ( $i * $i ) > $i ).
tff(decl_48,type,
l1_struct_0: $i > $o ).
tff(decl_49,type,
k1_xboole_0: $i ).
tff(decl_50,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_0: $i ).
tff(decl_55,type,
esk5_1: $i > $i ).
tff(decl_56,type,
esk6_0: $i ).
tff(decl_57,type,
esk7_1: $i > $i ).
tff(decl_58,type,
esk8_1: $i > $i ).
tff(decl_59,type,
esk9_1: $i > $i ).
tff(decl_60,type,
esk10_1: $i > $i ).
tff(decl_61,type,
esk11_0: $i ).
tff(decl_62,type,
esk12_1: $i > $i ).
tff(decl_63,type,
esk13_1: $i > $i ).
tff(decl_64,type,
esk14_1: $i > $i ).
tff(decl_65,type,
esk15_1: $i > $i ).
tff(decl_66,type,
esk16_1: $i > $i ).
tff(decl_67,type,
esk17_1: $i > $i ).
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/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(t3_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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_tsp_2) ).
fof(t62_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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_tex_4) ).
fof(t58_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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(t5_tex_2,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_tex_2(X2,k1_zfmisc_1(X1))
<=> X2 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
fof(c_0_5,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_6,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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t3_tsp_2])]) ).
fof(c_0_7,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t62_tex_4]) ).
fof(c_0_8,plain,
! [X45,X46] :
( ( v1_tsp_1(X46,X45)
| ~ v1_tsp_2(X46,X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(X45)))
| v3_struct_0(X45)
| ~ v2_pre_topc(X45)
| ~ l1_pre_topc(X45) )
& ( k3_tex_4(X45,X46) = u1_struct_0(X45)
| ~ v1_tsp_2(X46,X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(X45)))
| v3_struct_0(X45)
| ~ v2_pre_topc(X45)
| ~ l1_pre_topc(X45) )
& ( ~ v1_tsp_1(X46,X45)
| k3_tex_4(X45,X46) != u1_struct_0(X45)
| v1_tsp_2(X46,X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(X45)))
| v3_struct_0(X45)
| ~ v2_pre_topc(X45)
| ~ l1_pre_topc(X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,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)))
& ( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) )
& v1_tsp_2(esk2_0,esk1_0)
& v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t58_tex_4]) ).
fof(c_0_11,plain,
! [X95,X96] :
( v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(X95)))
| ~ v4_pre_topc(X96,X95)
| k3_tex_4(X95,X96) = X96 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_12,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_8]) ).
cnf(c_0_13,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X88,X89] :
( v3_struct_0(X88)
| ~ v2_pre_topc(X88)
| ~ l1_pre_topc(X88)
| ~ m1_subset_1(X89,k1_zfmisc_1(u1_struct_0(X88)))
| ~ v3_pre_topc(X89,X88)
| k3_tex_4(X88,X89) = X89 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
k3_tex_4(esk1_0,esk2_0) = u1_struct_0(esk1_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_12,c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X93,X94] :
( ( ~ v1_tex_2(X94,k1_zfmisc_1(X93))
| X94 != X93
| ~ m1_subset_1(X94,k1_zfmisc_1(X93)) )
& ( X94 = X93
| v1_tex_2(X94,k1_zfmisc_1(X93))
| ~ m1_subset_1(X94,k1_zfmisc_1(X93)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])]) ).
cnf(c_0_23,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v4_pre_topc(esk2_0,esk1_0) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_15]),c_0_16])]),c_0_17]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v3_pre_topc(esk2_0,esk1_0) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_15]),c_0_16])]),c_0_17]),c_0_20]) ).
cnf(c_0_26,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X2))
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_29,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
v1_tex_2(esk2_0,k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_13,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:54:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.53/0.58 start to proof: theBenchmark
% 0.56/0.61 % Version : CSE_E---1.5
% 0.56/0.61 % Problem : theBenchmark.p
% 0.56/0.61 % Proof found
% 0.56/0.61 % SZS status Theorem for theBenchmark.p
% 0.56/0.61 % SZS output start Proof
% See solution above
% 0.56/0.61 % Total time : 0.017000 s
% 0.56/0.61 % SZS output end Proof
% 0.56/0.61 % Total time : 0.021000 s
%------------------------------------------------------------------------------