TSTP Solution File: SEU339+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU339+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:40:57 EDT 2022
% Result : Timeout 293.88s 39.28s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of clauses : 68 ( 34 unt; 4 nHn; 60 RR)
% Number of literals : 135 ( 12 equ; 72 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_479,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_479) ).
cnf(i_0_2226,negated_conjecture,
rel_str(esk390_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2226) ).
cnf(i_0_439,plain,
( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_439) ).
cnf(i_0_2225,negated_conjecture,
element(esk391_0,the_carrier(esk390_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2225) ).
cnf(i_0_2224,negated_conjecture,
element(esk392_0,the_carrier(esk390_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2224) ).
cnf(i_0_475,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_475) ).
cnf(i_0_2408,lemma,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2408) ).
cnf(i_0_71,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_71) ).
cnf(i_0_320,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_320) ).
cnf(i_0_70,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_70) ).
cnf(i_0_2222,negated_conjecture,
related(esk390_0,esk392_0,esk391_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2222) ).
cnf(i_0_2223,negated_conjecture,
related(esk390_0,esk391_0,esk392_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2223) ).
cnf(i_0_44,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_44) ).
cnf(i_0_2293,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2293) ).
cnf(i_0_2135,lemma,
( subset(relation_rng(X1),X2)
| ~ relation_of2_as_subset(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2135) ).
cnf(i_0_2221,negated_conjecture,
esk392_0 != esk391_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2221) ).
cnf(i_0_375,plain,
( is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_375) ).
cnf(i_0_2227,negated_conjecture,
antisymmetric_relstr(esk390_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2227) ).
cnf(i_0_2372,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2372) ).
cnf(i_0_2138,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2138) ).
cnf(i_0_240,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_240) ).
cnf(i_0_2195,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7punvkqv/input.p',i_0_2195) ).
cnf(c_0_2431,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_479 ).
cnf(c_0_2432,negated_conjecture,
rel_str(esk390_0),
i_0_2226 ).
cnf(c_0_2433,plain,
( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_439 ).
cnf(c_0_2434,negated_conjecture,
element(esk391_0,the_carrier(esk390_0)),
i_0_2225 ).
cnf(c_0_2435,negated_conjecture,
element(esk392_0,the_carrier(esk390_0)),
i_0_2224 ).
cnf(c_0_2436,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_475 ).
cnf(c_0_2437,negated_conjecture,
relation_of2_as_subset(the_InternalRel(esk390_0),the_carrier(esk390_0),the_carrier(esk390_0)),
inference(spm,[status(thm)],[c_0_2431,c_0_2432]) ).
cnf(c_0_2438,lemma,
subset(X1,set_union2(X1,X2)),
i_0_2408 ).
cnf(c_0_2439,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_71 ).
cnf(c_0_2440,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
i_0_320 ).
cnf(c_0_2441,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_70 ).
cnf(c_0_2442,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk391_0),unordered_pair(X1,X1)),the_InternalRel(esk390_0))
| ~ related(esk390_0,X1,esk391_0)
| ~ element(X1,the_carrier(esk390_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2433,c_0_2434]),c_0_2432])]) ).
cnf(c_0_2443,negated_conjecture,
related(esk390_0,esk392_0,esk391_0),
i_0_2222 ).
cnf(c_0_2444,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk392_0),unordered_pair(X1,X1)),the_InternalRel(esk390_0))
| ~ related(esk390_0,X1,esk392_0)
| ~ element(X1,the_carrier(esk390_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2433,c_0_2435]),c_0_2432])]) ).
cnf(c_0_2445,negated_conjecture,
related(esk390_0,esk391_0,esk392_0),
i_0_2223 ).
cnf(c_0_2446,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_44 ).
cnf(c_0_2447,negated_conjecture,
element(the_InternalRel(esk390_0),powerset(cartesian_product2(the_carrier(esk390_0),the_carrier(esk390_0)))),
inference(spm,[status(thm)],[c_0_2436,c_0_2437]) ).
cnf(c_0_2448,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_2293 ).
cnf(c_0_2449,plain,
subset(X1,set_union2(X2,X1)),
inference(spm,[status(thm)],[c_0_2438,c_0_2439]) ).
cnf(c_0_2450,lemma,
( subset(relation_rng(X1),X2)
| ~ relation_of2_as_subset(X1,X3,X2) ),
i_0_2135 ).
cnf(c_0_2451,plain,
( X1 = X2
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_2440,c_0_2441]) ).
cnf(c_0_2452,negated_conjecture,
in(unordered_pair(unordered_pair(esk391_0,esk392_0),unordered_pair(esk392_0,esk392_0)),the_InternalRel(esk390_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2442,c_0_2443]),c_0_2435])]),c_0_2441]) ).
cnf(c_0_2453,negated_conjecture,
in(unordered_pair(unordered_pair(esk391_0,esk391_0),unordered_pair(esk391_0,esk392_0)),the_InternalRel(esk390_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2444,c_0_2445]),c_0_2434])]),c_0_2441]) ).
cnf(c_0_2454,plain,
relation(the_InternalRel(esk390_0)),
inference(spm,[status(thm)],[c_0_2446,c_0_2447]) ).
cnf(c_0_2455,negated_conjecture,
esk392_0 != esk391_0,
i_0_2221 ).
cnf(c_0_2456,plain,
( is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1) ),
i_0_375 ).
cnf(c_0_2457,negated_conjecture,
antisymmetric_relstr(esk390_0),
i_0_2227 ).
cnf(c_0_2458,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_2372 ).
cnf(c_0_2459,plain,
element(X1,powerset(set_union2(X2,X1))),
inference(spm,[status(thm)],[c_0_2448,c_0_2449]) ).
cnf(c_0_2460,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
i_0_2138 ).
cnf(c_0_2461,negated_conjecture,
subset(relation_rng(the_InternalRel(esk390_0)),the_carrier(esk390_0)),
inference(spm,[status(thm)],[c_0_2450,c_0_2437]) ).
cnf(c_0_2462,negated_conjecture,
( ~ is_antisymmetric_in(the_InternalRel(esk390_0),X1)
| ~ in(esk392_0,X1)
| ~ in(esk391_0,X1) ),
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_2451,c_0_2452]),c_0_2441]),c_0_2453]),c_0_2454])]),c_0_2455]) ).
cnf(c_0_2463,negated_conjecture,
is_antisymmetric_in(the_InternalRel(esk390_0),the_carrier(esk390_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2456,c_0_2457]),c_0_2432])]) ).
cnf(c_0_2464,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_240 ).
cnf(c_0_2465,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
i_0_2195 ).
cnf(c_0_2466,plain,
( ~ in(X1,X2)
| ~ empty(set_union2(X3,X2)) ),
inference(spm,[status(thm)],[c_0_2458,c_0_2459]) ).
cnf(c_0_2467,lemma,
set_union2(the_carrier(esk390_0),relation_rng(the_InternalRel(esk390_0))) = the_carrier(esk390_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2460,c_0_2461]),c_0_2439]) ).
cnf(c_0_2468,negated_conjecture,
( ~ in(esk392_0,the_carrier(esk390_0))
| ~ in(esk391_0,the_carrier(esk390_0)) ),
inference(spm,[status(thm)],[c_0_2462,c_0_2463]) ).
cnf(c_0_2469,negated_conjecture,
( in(esk392_0,the_carrier(esk390_0))
| empty(the_carrier(esk390_0)) ),
inference(spm,[status(thm)],[c_0_2464,c_0_2435]) ).
cnf(c_0_2470,negated_conjecture,
( in(esk391_0,the_carrier(esk390_0))
| empty(the_carrier(esk390_0)) ),
inference(spm,[status(thm)],[c_0_2464,c_0_2434]) ).
cnf(c_0_2471,plain,
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_2465,c_0_2441]) ).
cnf(c_0_2472,plain,
( ~ in(X1,relation_rng(the_InternalRel(esk390_0)))
| ~ empty(the_carrier(esk390_0)) ),
inference(spm,[status(thm)],[c_0_2466,c_0_2467]) ).
cnf(c_0_2473,negated_conjecture,
empty(the_carrier(esk390_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2468,c_0_2469]),c_0_2470]) ).
cnf(c_0_2474,negated_conjecture,
in(esk391_0,relation_rng(the_InternalRel(esk390_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2471,c_0_2452]),c_0_2454])]) ).
cnf(c_0_2475,plain,
~ in(X1,relation_rng(the_InternalRel(esk390_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2472,c_0_2473])]) ).
cnf(c_0_2476,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_2474,c_0_2475]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU339+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 22:54:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 293.88/39.28 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 293.88/39.28 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 293.88/39.28 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 36; version: 991; iters: 150)
% 293.88/39.28 # Preprocessing time : 0.851 s
% 293.88/39.28
% 293.88/39.28 # Proof found!
% 293.88/39.28 # SZS status Theorem
% 293.88/39.28 # SZS output start CNFRefutation
% See solution above
% 293.88/39.28 # Training examples: 0 positive, 0 negative
% 293.88/39.28
% 293.88/39.28 # -------------------------------------------------
% 293.88/39.28 # User time : 5.539 s
% 293.88/39.28 # System time : 0.126 s
% 293.88/39.28 # Total time : 5.665 s
% 293.88/39.28 # ...preprocessing : 0.851 s
% 293.88/39.28 # ...main loop : 4.814 s
% 293.88/39.28 # Maximum resident set size: 158408 pages
% 293.88/39.28
%------------------------------------------------------------------------------