TSTP Solution File: TOP026+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP026+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 : n001.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 05:53:49 EDT 2023
% Result : Theorem 0.19s 0.71s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 54
% Syntax : Number of formulae : 74 ( 9 unt; 50 typ; 0 def)
% Number of atoms : 88 ( 9 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 36 ~; 27 |; 17 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 40 >; 13 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 3 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn; 23 !; 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,
k6_pre_topc: ( $i * $i ) > $i ).
tff(decl_30,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
k3_tex_4: ( $i * $i ) > $i ).
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,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_45,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_46,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_47,type,
v1_xboole_0: $i > $o ).
tff(decl_48,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_49,type,
k1_xboole_0: $i ).
tff(decl_50,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_51,type,
l1_struct_0: $i > $o ).
tff(decl_52,type,
esk1_0: $i ).
tff(decl_53,type,
esk2_0: $i ).
tff(decl_54,type,
esk3_0: $i ).
tff(decl_55,type,
esk4_0: $i ).
tff(decl_56,type,
esk5_1: $i > $i ).
tff(decl_57,type,
esk6_1: $i > $i ).
tff(decl_58,type,
esk7_1: $i > $i ).
tff(decl_59,type,
esk8_1: $i > $i ).
tff(decl_60,type,
esk9_1: $i > $i ).
tff(decl_61,type,
esk10_0: $i ).
tff(decl_62,type,
esk11_1: $i > $i ).
tff(decl_63,type,
esk12_1: $i > $i ).
tff(decl_64,type,
esk13_0: $i ).
tff(decl_65,type,
esk14_1: $i > $i ).
tff(decl_66,type,
esk15_1: $i > $i ).
tff(decl_67,type,
esk16_0: $i ).
tff(decl_68,type,
esk17_1: $i > $i ).
tff(decl_69,type,
esk18_1: $i > $i ).
tff(decl_70,type,
epred1_0: $o ).
tff(decl_71,type,
epred2_0: $o ).
fof(t5_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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_2) ).
fof(t7_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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(c_0_4,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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_tsp_2]) ).
fof(c_0_5,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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_tsp_2])]) ).
fof(c_0_6,plain,
! [X135,X136,X137] :
( v3_struct_0(X135)
| ~ v2_pre_topc(X135)
| ~ l1_pre_topc(X135)
| ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(X135)))
| ~ v1_tsp_2(X136,X135)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X135)))
| ~ v4_pre_topc(X137,X135)
| X137 = k3_tex_4(X135,k5_subset_1(u1_struct_0(X135),X136,X137)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,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)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,X1)) = X1
| ~ v4_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(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_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
fof(c_0_16,plain,
! [X125,X126] :
( ~ l1_pre_topc(X125)
| ~ m1_subset_1(X126,k1_zfmisc_1(u1_struct_0(X125)))
| m1_subset_1(k6_pre_topc(X125,X126),k1_zfmisc_1(u1_struct_0(X125))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_17,negated_conjecture,
( ~ v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(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_19,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_20,plain,
! [X129,X130] :
( ~ v2_pre_topc(X129)
| ~ l1_pre_topc(X129)
| ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(X129)))
| v4_pre_topc(k6_pre_topc(X129,X130),X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
cnf(c_0_21,negated_conjecture,
~ v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_11])]) ).
cnf(c_0_22,plain,
( v4_pre_topc(k6_pre_topc(X1,X2),X1)
| ~ 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_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n001.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 : Sun Aug 27 00:01:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.71 % Version : CSE_E---1.5
% 0.19/0.71 % Problem : theBenchmark.p
% 0.19/0.71 % Proof found
% 0.19/0.71 % SZS status Theorem for theBenchmark.p
% 0.19/0.71 % SZS output start Proof
% See solution above
% 0.19/0.72 % Total time : 0.140000 s
% 0.19/0.72 % SZS output end Proof
% 0.19/0.72 % Total time : 0.145000 s
%------------------------------------------------------------------------------