TSTP Solution File: AGT026+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT026+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Thu Jul 14 12:04:00 EDT 2022
% Result : Theorem 184.31s 184.50s
% Output : Refutation 184.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of clauses : 60 ( 44 unt; 7 nHn; 49 RR)
% Number of literals : 89 ( 9 equ; 27 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-2 aty)
% Number of variables : 42 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ accept_number(X,Y)
| ~ less(Z,Y)
| accept_number(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).
cnf(6,axiom,
( ~ accept_population(X,Y,Z)
| ~ less(U,Z)
| accept_population(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_3) ).
cnf(47,axiom,
( ~ accept_population(X,atheist,n12)
| ~ accept_population(X,christian,n3)
| ~ accept_population(X,muslim,n0)
| ~ accept_population(X,native,n85)
| ~ accept_population(X,other,n0)
| accept_city(X,coastvillage) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_7) ).
cnf(303,axiom,
accept_number(countryccivilorganization,n3),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_215) ).
cnf(350,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13) ).
cnf(355,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_18) ).
cnf(399,axiom,
~ accept_number(countryccivilorganization,n6),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_62) ).
cnf(546,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_211) ).
cnf(555,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_220) ).
cnf(557,axiom,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_222) ).
cnf(668,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn0) ).
cnf(669,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn1) ).
cnf(671,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
cnf(674,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).
cnf(680,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).
cnf(688,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn20) ).
cnf(698,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn30) ).
cnf(753,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn85) ).
cnf(768,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn100) ).
cnf(924,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).
cnf(925,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(933,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(934,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).
cnf(935,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(943,axiom,
( ~ rdn_positive_less(X,Y)
| rdn_positive_less(rdn(rdnn(Z),X),rdn(rdnn(U),Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
cnf(945,axiom,
( ~ rdn_non_zero(X)
| rdn_positive_less(rdnn(Y),rdn(rdnn(Z),X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
cnf(946,axiom,
( ~ rdn_non_zero_digit(rdnn(X))
| rdn_non_zero(rdnn(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
cnf(948,axiom,
( ~ rdn_translate(X,rdn_pos(Y))
| ~ rdn_translate(Z,rdn_pos(U))
| ~ rdn_positive_less(Y,U)
| less(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(951,axiom,
( ~ less(X,Y)
| ~ less(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(952,axiom,
( ~ less(X,Y)
| Y != X ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(953,axiom,
( less(X,Y)
| less(Y,X)
| Y = X ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(957,negated_conjecture,
accept_population(X,Y,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_26) ).
cnf(973,plain,
rdn_non_zero(rdnn(n2)),
inference('HYPERRESOLVE',[status(thm)],[946,925]) ).
cnf(976,plain,
rdn_non_zero(rdnn(n1)),
inference('HYPERRESOLVE',[status(thm)],[946,924]) ).
cnf(1036,plain,
( less(n3,X)
| n3 = X
| accept_number(countryccivilorganization,X) ),
inference('HYPERRESOLVE',[status(thm)],[5,953,303]) ).
cnf(1444,plain,
( less(n30,X)
| n30 = X
| accept_population(countryamedicalorganization,atheist,X) ),
inference('HYPERRESOLVE',[status(thm)],[6,355,953]) ).
cnf(1510,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n2))),
inference('HYPERRESOLVE',[status(thm)],[943,934]) ).
cnf(1514,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(n2)),rdn(rdnn(Y),rdnn(n3))),
inference('HYPERRESOLVE',[status(thm)],[943,935]) ).
cnf(19431,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[948,668,669,933]) ).
cnf(70768,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference('HYPERRESOLVE',[status(thm)],[6,19431,557]) ).
cnf(70843,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n2))),
inference('HYPERRESOLVE',[status(thm)],[945,973]) ).
cnf(70876,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n1))),
inference('HYPERRESOLVE',[status(thm)],[945,976]) ).
cnf(130147,plain,
( n3 = n20
| accept_number(countryccivilorganization,n20)
| accept_population(countryamedicalorganization,christian,n3) ),
inference('HYPERRESOLVE',[status(thm)],[6,1036,546]) ).
cnf(134492,plain,
less(n6,n20),
inference('HYPERRESOLVE',[status(thm)],[948,70843,674,688]) ).
cnf(134562,plain,
less(n3,n20),
inference('HYPERRESOLVE',[status(thm)],[948,70843,671,688]) ).
cnf(134723,plain,
~ accept_number(countryccivilorganization,n20),
inference('UR-RESOLVE',[status(thm)],[5,134492,399]) ).
cnf(134732,plain,
( n3 = n20
| accept_population(countryamedicalorganization,christian,n3) ),
inference('REWRITE',[status(thm)],[130147,134723]) ).
cnf(135301,plain,
n3 != n20,
inference('UR-RESOLVE',[status(thm)],[952,134562]) ).
cnf(135304,plain,
accept_population(countryamedicalorganization,christian,n3),
inference('REWRITE',[status(thm)],[134732,135301]) ).
cnf(138913,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(Y)),rdn(rdnn(Z),rdn(rdnn(U),rdnn(n1)))),
inference('HYPERRESOLVE',[status(thm)],[943,70876]) ).
cnf(176036,plain,
less(n12,n20),
inference('HYPERRESOLVE',[status(thm)],[948,1510,680,688]) ).
cnf(177449,plain,
( less(n30,n20)
| n30 = n20
| accept_population(countryamedicalorganization,atheist,n12) ),
inference('HYPERRESOLVE',[status(thm)],[6,176036,1444]) ).
cnf(198806,plain,
less(n20,n30),
inference('HYPERRESOLVE',[status(thm)],[948,1514,688,698]) ).
cnf(199068,plain,
n30 != n20,
inference('UR-RESOLVE',[status(thm)],[952,198806]) ).
cnf(199093,plain,
( less(n30,n20)
| accept_population(countryamedicalorganization,atheist,n12) ),
inference('REWRITE',[status(thm)],[177449,199068]) ).
cnf(199171,plain,
~ less(n30,n20),
inference('UR-RESOLVE',[status(thm)],[951,198806]) ).
cnf(199196,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference('REWRITE',[status(thm)],[199093,199171]) ).
cnf(202727,plain,
~ accept_population(countryamedicalorganization,native,n85),
inference('UR-RESOLVE',[status(thm)],[47,199196,135304,70768,555,350]) ).
cnf(202917,plain,
~ less(n85,n100),
inference('UR-RESOLVE',[status(thm)],[6,202727,957]) ).
cnf(202929,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,202917,753,768]),138913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT026+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 03:10:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T03:10:26
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-04T03:10:26
% 0.38/0.61 WARNING:
% 0.38/0.61 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.61 WARNING:
% 0.38/0.61 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 184.31/184.50
% 184.31/184.50
% 184.31/184.50 #||
% 184.31/184.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.31/184.50 % SZS output start Refutation
% See solution above
% 184.31/184.50 ||#
% 184.31/184.50
% 184.31/184.50 ; Summary of computation:
% 184.31/184.50 ; 5297770 formulas have been input or derived (from 150886 formulas).
% 184.31/184.50 ; 202929 ( 4%) were retained. Of these,
% 184.31/184.50 ; 12121 ( 6%) were simplified or subsumed later,
% 184.31/184.50 ; 190808 (94%) are still being kept.
% 184.31/184.50 ;
% 184.31/184.50 ; Run time in seconds excluding printing time:
% 184.31/184.50 ; 0.098 0% Read assertion file (1 call)
% 184.31/184.50 ; 0.006 0% Assert (923 calls)
% 184.31/184.50 ; 19.087 10% Process new row (5,126,912 calls)
% 184.31/184.50 ; 71.499 39% Resolution (301,770 calls)
% 184.31/184.50 ; 0.686 0% Paramodulation (150,885 calls)
% 184.31/184.50 ; 0.006 0% Factoring (339 calls)
% 184.31/184.50 ; 0.256 0% Condensing (84,440 calls)
% 184.31/184.50 ; 9.577 5% Forward subsumption (84,440 calls)
% 184.31/184.50 ; 5.033 3% Backward subsumption (49,620 calls)
% 184.31/184.50 ; 0.556 0% Clause clause subsumption (109,075 calls)
% 184.31/184.50 ; 60.538 33% Forward simplification (5,126,910 calls)
% 184.31/184.50 ; 1.384 1% Backward simplification (202,929 calls)
% 184.31/184.50 ; 0.317 0% Ordering (259,906 calls)
% 184.31/184.50 ; 0.000 0% Sortal reasoning (32 calls)
% 184.31/184.50 ; 0.001 0% Purity testing (1 call)
% 184.31/184.50 ; 14.967 8% Other
% 184.31/184.50 ; 184.011 Total
% 184.31/184.50 ; 184.009 Real time
% 184.31/184.50 ;
% 184.31/184.50 ; Term-hash-array has 157,494 terms in all.
% 184.31/184.50 ; Feature-vector-row-index has 37,539 entries (38,295 at peak, 49,620 added, 12,081 deleted).
% 184.31/184.50 ; Feature-vector-row-index has 13,923 nodes (15,787 at peak, 26,516 added, 12,593 deleted).
% 184.31/184.50 ; Retrieved 16,402,469 possibly forward subsuming rows in 84,440 calls.
% 184.31/184.50 ; Retrieved 1,104,847 possibly backward subsumed rows in 49,620 calls.
% 184.31/184.50 ; Path-index has 157,624 entries (157,624 at peak, 158,307 added, 683 deleted).
% 184.31/184.50 ; Path-index has 3,167 nodes (3,167 at peak, 3,170 added, 3 deleted).
% 184.31/184.50 ; Trie-index has 157,624 entries (157,624 at peak, 158,307 added, 683 deleted).
% 184.31/184.50 ; Trie-index has 166,561 nodes (166,561 at peak, 167,269 added, 708 deleted).
% 184.31/184.50 ; Retrieved 11,838,599 generalization terms in 14,608,692 calls.
% 184.31/184.50 ; Retrieved 153,355 instance terms in 153,308 calls.
% 184.31/184.50 ; Retrieved 23,182,211 unifiable terms in 2,584,978 calls.
% 184.31/184.50 ;
% 184.31/184.50 ; The agenda of rows to give has 39963 entries:
% 184.31/184.50 ; 10 with value (4 10) 11 with value (4 19) 33 with value (4 30)
% 184.31/184.50 ; 1 with value (4 12) 9 with value (4 21) 106 with value (4 31)
% 184.31/184.50 ; 40 with value (4 14) 8 with value (4 22) 4 with value (4 32)
% 184.31/184.50 ; 1845 with value (4 15) 454 with value (4 23) 4 with value (4 38)
% 184.31/184.50 ; 33707 with value (4 16) 689 with value (4 24) 48 with value (4 39)
% 184.31/184.50 ; 1693 with value (4 17) 172 with value (4 25) 5 with value (4 46)
% 184.31/184.50 ; 1115 with value (4 18) 9 with value (4 26)
% 184.31/184.50 Evaluation took:
% 184.31/184.50 184.012 seconds of real time
% 184.31/184.50 165.97833 seconds of user run time
% 184.31/184.50 18.040867 seconds of system run time
% 184.31/184.50 [Run times include 24.35 seconds GC run time.]
% 184.31/184.50 0 calls to %EVAL
% 184.31/184.50 0 page faults and
% 184.31/184.50 12,829,755,816 bytes consed.
% 184.31/184.50 :PROOF-FOUND
% 184.31/184.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T03:13:30
% 184.31/184.50 :PROOF-FOUND
% 184.31/184.50 *
%------------------------------------------------------------------------------