TSTP Solution File: AGT022+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT022+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 12:03:59 EDT 2022
% Result : Theorem 59.25s 59.44s
% Output : Refutation 59.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of clauses : 47 ( 33 unt; 4 nHn; 40 RR)
% Number of literals : 76 ( 6 equ; 29 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 35 ( 10 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(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(942,axiom,
( ~ rdn_positive_less(rdnn(X),rdnn(Y))
| ~ rdn_positive_less(rdnn(Y),rdnn(Z))
| rdn_positive_less(rdnn(X),rdnn(Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
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(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,native,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_22) ).
cnf(964,plain,
( ~ accept_population(X,atheist,n12)
| ~ accept_population(X,christian,n3)
| ~ accept_population(X,muslim,n0)
| ~ accept_population(X,other,n0)
| accept_city(X,coastvillage) ),
inference('REWRITE',[status(thm)],[47,957]) ).
cnf(985,plain,
rdn_non_zero(rdnn(n2)),
inference('HYPERRESOLVE',[status(thm)],[946,925]) ).
cnf(1048,plain,
( less(n3,X)
| n3 = X
| accept_number(countryccivilorganization,X) ),
inference('HYPERRESOLVE',[status(thm)],[5,953,303]) ).
cnf(19421,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[948,668,669,933]) ).
cnf(19437,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference('HYPERRESOLVE',[status(thm)],[942,934,935]) ).
cnf(76774,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference('HYPERRESOLVE',[status(thm)],[6,19421,557]) ).
cnf(76849,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n2))),
inference('HYPERRESOLVE',[status(thm)],[945,985]) ).
cnf(137327,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n3))),
inference('HYPERRESOLVE',[status(thm)],[943,19437]) ).
cnf(141679,plain,
( n3 = n20
| accept_number(countryccivilorganization,n20)
| accept_population(countryamedicalorganization,christian,n3) ),
inference('HYPERRESOLVE',[status(thm)],[6,1048,546]) ).
cnf(145814,plain,
less(n6,n20),
inference('HYPERRESOLVE',[status(thm)],[948,76849,674,688]) ).
cnf(145884,plain,
less(n3,n20),
inference('HYPERRESOLVE',[status(thm)],[948,76849,671,688]) ).
cnf(146045,plain,
~ accept_number(countryccivilorganization,n20),
inference('UR-RESOLVE',[status(thm)],[5,145814,399]) ).
cnf(146054,plain,
( n3 = n20
| accept_population(countryamedicalorganization,christian,n3) ),
inference('REWRITE',[status(thm)],[141679,146045]) ).
cnf(146623,plain,
n3 != n20,
inference('UR-RESOLVE',[status(thm)],[952,145884]) ).
cnf(146626,plain,
accept_population(countryamedicalorganization,christian,n3),
inference('REWRITE',[status(thm)],[146054,146623]) ).
cnf(147017,plain,
~ accept_population(countryamedicalorganization,atheist,n12),
inference('UR-RESOLVE',[status(thm)],[964,146626,76774,555,350]) ).
cnf(147331,plain,
~ less(n12,n30),
inference('UR-RESOLVE',[status(thm)],[6,147017,355]) ).
cnf(147335,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,147331,680,698]),137327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : AGT022+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.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 : 600
% 0.12/0.34 % DateTime : Sat Jun 4 07:05:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:05:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-04T07:05:07
% 0.42/0.59 WARNING:
% 0.42/0.59 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.59 WARNING:
% 0.42/0.59 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 59.25/59.44
% 59.25/59.44
% 59.25/59.44 #||
% 59.25/59.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.25/59.44 % SZS output start Refutation
% See solution above
% 59.25/59.46 ||#
% 59.25/59.46
% 59.25/59.46 ; Summary of computation:
% 59.25/59.46 ; 1528109 formulas have been input or derived (from 132395 formulas).
% 59.25/59.46 ; 147335 (10%) were retained. Of these,
% 59.25/59.46 ; 2293 ( 2%) were simplified or subsumed later,
% 59.25/59.46 ; 145042 (98%) are still being kept.
% 59.25/59.46 ;
% 59.25/59.46 ; Run time in seconds excluding printing time:
% 59.25/59.46 ; 0.099 0% Read assertion file (1 call)
% 59.25/59.46 ; 0.011 0% Assert (923 calls)
% 59.25/59.46 ; 8.537 14% Process new row (1,391,100 calls)
% 59.25/59.46 ; 32.712 55% Resolution (264,788 calls)
% 59.25/59.46 ; 0.586 1% Paramodulation (132,394 calls)
% 59.25/59.46 ; 0.000 0% Factoring (73 calls)
% 59.25/59.46 ; 0.146 0% Condensing (21,773 calls)
% 59.25/59.46 ; 0.410 1% Forward subsumption (21,773 calls)
% 59.25/59.46 ; 0.465 1% Backward subsumption (13,411 calls)
% 59.25/59.46 ; 0.032 0% Clause clause subsumption (13,212 calls)
% 59.25/59.46 ; 10.755 18% Forward simplification (1,391,098 calls)
% 59.25/59.46 ; 0.595 1% Backward simplification (147,335 calls)
% 59.25/59.46 ; 0.237 0% Ordering (170,935 calls)
% 59.25/59.46 ; 0.000 0% Sortal reasoning (32 calls)
% 59.25/59.46 ; 0.001 0% Purity testing (1 call)
% 59.25/59.46 ; 4.377 7% Other
% 59.25/59.46 ; 58.963 Total
% 59.25/59.46 ; 58.996 Real time
% 59.25/59.46 ;
% 59.25/59.46 ; Term-hash-array has 135,100 terms in all.
% 59.25/59.46 ; Feature-vector-row-index has 11,179 entries (12,671 at peak, 13,411 added, 2,232 deleted).
% 59.25/59.46 ; Feature-vector-row-index has 3,487 nodes (5,359 at peak, 6,403 added, 2,916 deleted).
% 59.25/59.46 ; Retrieved 209,913 possibly forward subsuming rows in 21,773 calls.
% 59.25/59.46 ; Retrieved 106,617 possibly backward subsumed rows in 13,411 calls.
% 59.25/59.46 ; Path-index has 135,284 entries (135,284 at peak, 135,542 added, 258 deleted).
% 59.25/59.46 ; Path-index has 2,983 nodes (2,983 at peak, 2,988 added, 5 deleted).
% 59.25/59.46 ; Trie-index has 135,284 entries (135,284 at peak, 135,542 added, 258 deleted).
% 59.25/59.46 ; Trie-index has 143,068 nodes (143,068 at peak, 143,363 added, 295 deleted).
% 59.25/59.46 ; Retrieved 2,250,400 generalization terms in 2,656,721 calls.
% 59.25/59.46 ; Retrieved 133,998 instance terms in 133,923 calls.
% 59.25/59.46 ; Retrieved 16,185,009 unifiable terms in 1,942,837 calls.
% 59.25/59.46 ;
% 59.25/59.46 ; The agenda of rows to give has 12688 entries:
% 59.25/59.46 ; 2 with value (4 8) 4554 with value (4 15) 3 with value (4 21)
% 59.25/59.46 ; 250 with value (4 9) 6781 with value (4 16) 29 with value (4 23)
% 59.25/59.46 ; 30 with value (4 11) 162 with value (4 17) 270 with value (4 24)
% 59.25/59.46 ; 35 with value (4 13) 205 with value (4 18) 126 with value (4 25)
% 59.25/59.46 ; 222 with value (4 14) 10 with value (4 19) 9 with value (4 26)
% 59.25/59.46 Evaluation took:
% 59.25/59.46 58.997 seconds of real time
% 59.25/59.46 53.20956 seconds of user run time
% 59.25/59.46 5.776135 seconds of system run time
% 59.25/59.46 [Run times include 7.507 seconds GC run time.]
% 59.25/59.46 0 calls to %EVAL
% 59.25/59.46 0 page faults and
% 59.25/59.46 2,987,111,032 bytes consed.
% 59.25/59.46 :PROOF-FOUND
% 59.25/59.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:06:06
% 59.25/59.46 :PROOF-FOUND
% 59.25/59.46 *
%------------------------------------------------------------------------------