TSTP Solution File: LAT347+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT347+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : Sun Jul 17 04:30:05 EDT 2022
% Result : Theorem 11.21s 4.58s
% Output : CNFRefutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 52 ( 26 unt; 12 nHn; 50 RR)
% Number of literals : 155 ( 17 equ; 98 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_127,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v2_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_127) ).
cnf(i_0_3359,negated_conjecture,
v2_lattice3(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3359) ).
cnf(i_0_3358,negated_conjecture,
l1_orders_2(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3358) ).
cnf(i_0_5803,plain,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_5803) ).
cnf(i_0_3387,plain,
u1_struct_0(k2_yellow_1(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3387) ).
cnf(i_0_5559,plain,
( k8_waybel_0(k7_lattice3(X1)) = k9_waybel_0(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_5559) ).
cnf(i_0_3362,negated_conjecture,
v3_orders_2(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3362) ).
cnf(i_0_3363,negated_conjecture,
v2_orders_2(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3363) ).
cnf(i_0_4138,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_4138) ).
cnf(i_0_3360,negated_conjecture,
v2_yellow_0(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3360) ).
cnf(i_0_3058,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3058) ).
cnf(i_0_5177,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_5177) ).
cnf(i_0_3361,negated_conjecture,
v4_orders_2(esk415_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3361) ).
cnf(i_0_5394,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_5394) ).
cnf(i_0_4846,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_4846) ).
cnf(i_0_1141,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_1141) ).
cnf(i_0_3355,negated_conjecture,
m1_subset_1(esk416_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk415_0))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3355) ).
cnf(i_0_3356,negated_conjecture,
v1_waybel_0(esk416_0,k2_yellow_1(k9_waybel_0(esk415_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3356) ).
cnf(i_0_3354,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),esk416_0) != k3_tarski(esk416_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3354) ).
cnf(i_0_3357,negated_conjecture,
~ v1_xboole_0(esk416_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2ecf73l/lgb.p',i_0_3357) ).
cnf(c_0_5824,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v2_lattice3(X1) ),
i_0_127 ).
cnf(c_0_5825,negated_conjecture,
v2_lattice3(esk415_0),
i_0_3359 ).
cnf(c_0_5826,negated_conjecture,
l1_orders_2(esk415_0),
i_0_3358 ).
cnf(c_0_5827,plain,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
i_0_5803 ).
cnf(c_0_5828,plain,
u1_struct_0(k2_yellow_1(X1)) = X1,
i_0_3387 ).
cnf(c_0_5829,plain,
( k8_waybel_0(k7_lattice3(X1)) = k9_waybel_0(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1) ),
i_0_5559 ).
cnf(c_0_5830,negated_conjecture,
v3_orders_2(esk415_0),
i_0_3362 ).
cnf(c_0_5831,negated_conjecture,
v2_orders_2(esk415_0),
i_0_3363 ).
cnf(c_0_5832,negated_conjecture,
~ v3_struct_0(esk415_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5824,c_0_5825]),c_0_5826])]) ).
cnf(c_0_5833,plain,
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| v1_xboole_0(X2)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k8_waybel_0(X1)))
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1))) ),
inference(rw,[status(thm)],[c_0_5827,c_0_5828]) ).
cnf(c_0_5834,negated_conjecture,
k8_waybel_0(k7_lattice3(esk415_0)) = k9_waybel_0(esk415_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5829,c_0_5830]),c_0_5831]),c_0_5826])]),c_0_5832]) ).
cnf(c_0_5835,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_yellow_0(k7_lattice3(esk415_0))
| ~ v1_lattice3(k7_lattice3(esk415_0))
| ~ v4_orders_2(k7_lattice3(esk415_0))
| ~ v3_orders_2(k7_lattice3(esk415_0))
| ~ v2_orders_2(k7_lattice3(esk415_0))
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(spm,[status(thm)],[c_0_5833,c_0_5834]) ).
cnf(c_0_5836,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_4138 ).
cnf(c_0_5837,negated_conjecture,
v2_yellow_0(esk415_0),
i_0_3360 ).
cnf(c_0_5838,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_lattice3(k7_lattice3(esk415_0))
| ~ v4_orders_2(k7_lattice3(esk415_0))
| ~ v3_orders_2(k7_lattice3(esk415_0))
| ~ v2_orders_2(k7_lattice3(esk415_0))
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5835,c_0_5836]),c_0_5837]),c_0_5826])]) ).
cnf(c_0_5839,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
i_0_3058 ).
cnf(c_0_5840,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v4_orders_2(k7_lattice3(esk415_0))
| ~ v3_orders_2(k7_lattice3(esk415_0))
| ~ v2_orders_2(k7_lattice3(esk415_0))
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5838,c_0_5839]),c_0_5825]),c_0_5826])]) ).
cnf(c_0_5841,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1) ),
i_0_5177 ).
cnf(c_0_5842,negated_conjecture,
v4_orders_2(esk415_0),
i_0_3361 ).
cnf(c_0_5843,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v3_orders_2(k7_lattice3(esk415_0))
| ~ v2_orders_2(k7_lattice3(esk415_0))
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5840,c_0_5841]),c_0_5842]),c_0_5826])]) ).
cnf(c_0_5844,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1) ),
i_0_5394 ).
cnf(c_0_5845,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v2_orders_2(k7_lattice3(esk415_0))
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5843,c_0_5844]),c_0_5830]),c_0_5826])]) ).
cnf(c_0_5846,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
i_0_4846 ).
cnf(c_0_5847,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ l1_orders_2(k7_lattice3(esk415_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5845,c_0_5846]),c_0_5831]),c_0_5826])]) ).
cnf(c_0_5848,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
i_0_1141 ).
cnf(c_0_5849,negated_conjecture,
m1_subset_1(esk416_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk415_0))))),
i_0_3355 ).
cnf(c_0_5850,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k9_waybel_0(esk415_0)))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk415_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5847,c_0_5848]),c_0_5826])]) ).
cnf(c_0_5851,negated_conjecture,
m1_subset_1(esk416_0,k1_zfmisc_1(k9_waybel_0(esk415_0))),
inference(rw,[status(thm)],[c_0_5849,c_0_5828]) ).
cnf(c_0_5852,negated_conjecture,
v1_waybel_0(esk416_0,k2_yellow_1(k9_waybel_0(esk415_0))),
i_0_3356 ).
cnf(c_0_5853,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(esk415_0)),esk416_0) != k3_tarski(esk416_0),
i_0_3354 ).
cnf(c_0_5854,negated_conjecture,
~ v1_xboole_0(esk416_0),
i_0_3357 ).
cnf(c_0_5855,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5850,c_0_5851]),c_0_5852])]),c_0_5853]),c_0_5854]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT347+2 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 30 01:19:25 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.54/0.74 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.54/0.74 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.54/0.74 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.21/4.58 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.21/4.58 # No SInE strategy applied
% 11.21/4.58 # Trying AutoSched0 for 149 seconds
% 11.21/4.58 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.21/4.58 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.21/4.58 #
% 11.21/4.58 # Preprocessing time : 0.015 s
% 11.21/4.58 # Presaturation interreduction done
% 11.21/4.58
% 11.21/4.58 # Proof found!
% 11.21/4.58 # SZS status Theorem
% 11.21/4.58 # SZS output start CNFRefutation
% See solution above
% 11.21/4.58 # Training examples: 0 positive, 0 negative
% 11.21/4.58
% 11.21/4.58 # -------------------------------------------------
% 11.21/4.58 # User time : 0.041 s
% 11.21/4.58 # System time : 0.009 s
% 11.21/4.58 # Total time : 0.051 s
% 11.21/4.58 # Maximum resident set size: 7128 pages
% 11.21/4.58
%------------------------------------------------------------------------------