TSTP Solution File: TOP028+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP028+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 : n024.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 05:53:57 EDT 2023
% Result : Theorem 0.55s 0.70s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 53
% Syntax : Number of formulae : 82 ( 9 unt; 46 typ; 0 def)
% Number of atoms : 145 ( 4 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 175 ( 66 ~; 56 |; 34 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 40 >; 11 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 3 sgn; 27 !; 3 ?; 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,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_30,type,
v1_membered: $i > $o ).
tff(decl_31,type,
v1_xcmplx_0: $i > $o ).
tff(decl_32,type,
v2_membered: $i > $o ).
tff(decl_33,type,
v1_xreal_0: $i > $o ).
tff(decl_34,type,
v3_membered: $i > $o ).
tff(decl_35,type,
v1_rat_1: $i > $o ).
tff(decl_36,type,
v4_membered: $i > $o ).
tff(decl_37,type,
v1_int_1: $i > $o ).
tff(decl_38,type,
v5_membered: $i > $o ).
tff(decl_39,type,
v4_ordinal2: $i > $o ).
tff(decl_40,type,
v1_xboole_0: $i > $o ).
tff(decl_41,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_42,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_43,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_45,type,
l1_struct_0: $i > $o ).
tff(decl_46,type,
k1_pre_topc: $i > $i ).
tff(decl_47,type,
k1_xboole_0: $i ).
tff(decl_48,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_49,type,
v3_tex_2: ( $i * $i ) > $o ).
tff(decl_50,type,
v1_tsp_1: ( $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_1: $i > $i ).
tff(decl_55,type,
esk5_0: $i ).
tff(decl_56,type,
esk6_1: $i > $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_0: $i ).
tff(decl_61,type,
esk11_1: $i > $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_2: ( $i * $i ) > $i ).
fof(t10_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) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(t9_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_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(t11_tsp_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tex_2(X2,X1)
=> v1_tsp_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_1) ).
fof(t35_tex_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_tex_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tex_2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(c_0_7,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) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).
fof(c_0_8,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_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_9,negated_conjecture,
! [X5] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X5,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X100,X101] :
( ( m1_subset_1(esk17_2(X100,X101),k1_zfmisc_1(u1_struct_0(X100)))
| ~ v1_tsp_1(X101,X100)
| ~ m1_subset_1(X101,k1_zfmisc_1(u1_struct_0(X100)))
| v3_struct_0(X100)
| ~ v2_pre_topc(X100)
| ~ l1_pre_topc(X100) )
& ( r1_tarski(X101,esk17_2(X100,X101))
| ~ v1_tsp_1(X101,X100)
| ~ m1_subset_1(X101,k1_zfmisc_1(u1_struct_0(X100)))
| v3_struct_0(X100)
| ~ v2_pre_topc(X100)
| ~ l1_pre_topc(X100) )
& ( v1_tsp_2(esk17_2(X100,X101),X100)
| ~ v1_tsp_1(X101,X100)
| ~ m1_subset_1(X101,k1_zfmisc_1(u1_struct_0(X100)))
| v3_struct_0(X100)
| ~ v2_pre_topc(X100)
| ~ l1_pre_topc(X100) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tex_2(X2,X1)
=> v1_tsp_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t11_tsp_1]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_tex_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t35_tex_2]) ).
cnf(c_0_13,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( v1_tsp_2(esk17_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(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_10]) ).
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,
! [X79,X80] :
( v3_struct_0(X79)
| ~ l1_pre_topc(X79)
| ~ m1_subset_1(X80,k1_zfmisc_1(u1_struct_0(X79)))
| ~ v3_tex_2(X80,X79)
| v1_tsp_1(X80,X79) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_19,plain,
! [X85,X86] :
( v3_struct_0(X85)
| ~ v2_pre_topc(X85)
| ~ l1_pre_topc(X85)
| ~ v1_xboole_0(X86)
| ~ m1_subset_1(X86,k1_zfmisc_1(u1_struct_0(X85)))
| v3_tex_2(X86,X85) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_20,plain,
! [X95] :
( ~ v1_xboole_0(X95)
| X95 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_21,plain,
! [X61] :
( m1_subset_1(esk8_1(X61),k1_zfmisc_1(X61))
& v1_xboole_0(esk8_1(X61)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_22,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk17_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(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(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_23,plain,
( m1_subset_1(esk17_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(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_10]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tex_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| v3_tex_2(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
v1_xboole_0(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ v1_tsp_1(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(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_29,plain,
( v1_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
m1_subset_1(esk8_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
esk8_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ v1_xboole_0(X1)
| ~ 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(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_33,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 22:57:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.55/0.70 % Version : CSE_E---1.5
% 0.55/0.70 % Problem : theBenchmark.p
% 0.55/0.70 % Proof found
% 0.55/0.70 % SZS status Theorem for theBenchmark.p
% 0.55/0.70 % SZS output start Proof
% See solution above
% 0.55/0.70 % Total time : 0.121000 s
% 0.55/0.70 % SZS output end Proof
% 0.55/0.70 % Total time : 0.125000 s
%------------------------------------------------------------------------------