TSTP Solution File: SEU411+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU411+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 : 600s
% DateTime : Tue Jul 19 08:42:03 EDT 2022
% Result : Theorem 117.97s 18.66s
% Output : CNFRefutation 117.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 22 unt; 0 def)
% Number of atoms : 135 ( 15 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 145 ( 43 ~; 33 |; 59 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 45 ( 3 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_latsum_1,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& v1_lattice3(X2)
& l1_orders_2(X2) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))) )
=> r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(t12_setfam_1,axiom,
! [X1,X2] : k1_setfam_1(k2_tarski(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t12_setfam_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d3_xboole_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',commutativity_k2_tarski) ).
fof(t10_waybel12,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v12_waybel_0(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+506.ax',t10_waybel12) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& v1_lattice3(X2)
& l1_orders_2(X2) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))) )
=> r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t20_latsum_1]) ).
fof(c_0_6,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_yellow_0(esk1_0)
& v1_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_yellow_0(esk2_0)
& v1_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0)
& v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0)
& m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
& ~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])]) ).
fof(c_0_7,plain,
! [X3416,X3417] : k1_setfam_1(k2_tarski(X3416,X3417)) = k3_xboole_0(X3416,X3417),
inference(variable_rename,[status(thm)],[t12_setfam_1]) ).
fof(c_0_8,plain,
! [X141,X142,X143,X144,X145,X146,X147,X148] :
( ( r2_hidden(X144,X141)
| ~ r2_hidden(X144,X143)
| X143 != k3_xboole_0(X141,X142) )
& ( r2_hidden(X144,X142)
| ~ r2_hidden(X144,X143)
| X143 != k3_xboole_0(X141,X142) )
& ( ~ r2_hidden(X145,X141)
| ~ r2_hidden(X145,X142)
| r2_hidden(X145,X143)
| X143 != k3_xboole_0(X141,X142) )
& ( ~ r2_hidden(esk15_3(X146,X147,X148),X148)
| ~ r2_hidden(esk15_3(X146,X147,X148),X146)
| ~ r2_hidden(esk15_3(X146,X147,X148),X147)
| X148 = k3_xboole_0(X146,X147) )
& ( r2_hidden(esk15_3(X146,X147,X148),X146)
| r2_hidden(esk15_3(X146,X147,X148),X148)
| X148 = k3_xboole_0(X146,X147) )
& ( r2_hidden(esk15_3(X146,X147,X148),X147)
| r2_hidden(esk15_3(X146,X147,X148),X148)
| X148 = k3_xboole_0(X146,X147) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).
cnf(c_0_9,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
k1_setfam_1(k2_tarski(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X2265,X2266] : k2_tarski(X2265,X2266) = k2_tarski(X2266,X2265),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_12,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X127,X128] :
( v3_struct_0(X127)
| ~ v4_orders_2(X127)
| ~ v1_yellow_0(X127)
| ~ l1_orders_2(X127)
| v1_xboole_0(X128)
| ~ v12_waybel_0(X128,X127)
| ~ m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(X127)))
| r2_hidden(k3_yellow_0(X127),X128) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t10_waybel12])])])]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(k1_setfam_1(k2_tarski(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_17,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
v12_waybel_0(k1_setfam_1(k2_tarski(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),esk2_0),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
~ v1_xboole_0(k1_setfam_1(k2_tarski(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_20,plain,
( r2_hidden(X1,X2)
| X3 != k1_setfam_1(k2_tarski(X4,X2))
| ~ r2_hidden(X1,X3) ),
inference(rw,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(k3_yellow_0(X1),X2)
| ~ v4_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v12_waybel_0(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(k1_setfam_1(k2_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
v12_waybel_0(k1_setfam_1(k2_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),esk2_0),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
v1_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
~ v1_xboole_0(k1_setfam_1(k2_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_29,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k1_setfam_1(k2_tarski(X3,X2))) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
r2_hidden(k3_yellow_0(esk2_0),k1_setfam_1(k2_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_27]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU411+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 23:31:58 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.92/1.11 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.11 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.92/1.11 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.92/1.11 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 117.97/18.66 # ENIGMATIC: Solved by autoschedule:
% 117.97/18.66 # SinE strategy is gf200_h_gu_R03_F100_L20000
% 117.97/18.66 # Trying AutoSched0 for 149 seconds
% 117.97/18.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 117.97/18.66 # and selection function SelectComplexExceptUniqMaxHorn.
% 117.97/18.66 #
% 117.97/18.66 # Preprocessing time : 0.854 s
% 117.97/18.66 # Presaturation interreduction done
% 117.97/18.66
% 117.97/18.66 # Proof found!
% 117.97/18.66 # SZS status Theorem
% 117.97/18.66 # SZS output start CNFRefutation
% See solution above
% 117.97/18.66 # Training examples: 0 positive, 0 negative
% 117.97/18.66
% 117.97/18.66 # -------------------------------------------------
% 117.97/18.66 # User time : 13.036 s
% 117.97/18.66 # System time : 0.239 s
% 117.97/18.66 # Total time : 13.275 s
% 117.97/18.66 # Maximum resident set size: 44332 pages
% 117.97/18.66
%------------------------------------------------------------------------------