TSTP Solution File: AGT010+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT010+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : Thu Jul 14 12:03:56 EDT 2022
% Result : Theorem 66.94s 67.12s
% Output : Refutation 66.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of clauses : 46 ( 33 unt; 4 nHn; 40 RR)
% Number of literals : 71 ( 6 equ; 25 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 : 32 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ accept_number(X,Y)
| ~ less(Z,Y)
| accept_number(X,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).
cnf(303,axiom,
accept_number(countryccivilorganization,n3),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_215) ).
cnf(350,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_13) ).
cnf(355,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_18) ).
cnf(399,axiom,
~ accept_number(countryccivilorganization,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_62) ).
cnf(546,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_211) ).
cnf(555,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_220) ).
cnf(557,axiom,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_222) ).
cnf(668,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
cnf(669,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn1) ).
cnf(671,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).
cnf(674,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn6) ).
cnf(680,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn12) ).
cnf(688,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn20) ).
cnf(698,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn30) ).
cnf(925,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(933,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(934,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).
cnf(935,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(952,axiom,
( ~ less(X,Y)
| Y != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(953,axiom,
( less(X,Y)
| less(Y,X)
| Y = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
cnf(957,negated_conjecture,
accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_10) ).
cnf(972,plain,
rdn_non_zero(rdnn(n2)),
inference('HYPERRESOLVE',[status(thm)],[946,925]) ).
cnf(1035,plain,
( less(n3,X)
| n3 = X
| accept_number(countryccivilorganization,X) ),
inference('HYPERRESOLVE',[status(thm)],[5,953,303]) ).
cnf(19430,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[948,668,669,933]) ).
cnf(19446,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference('HYPERRESOLVE',[status(thm)],[942,934,935]) ).
cnf(78319,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference('HYPERRESOLVE',[status(thm)],[6,19430,557]) ).
cnf(78394,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n2))),
inference('HYPERRESOLVE',[status(thm)],[945,972]) ).
cnf(140408,plain,
rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n3))),
inference('HYPERRESOLVE',[status(thm)],[943,19446]) ).
cnf(145250,plain,
( n3 = n20
| accept_number(countryccivilorganization,n20)
| accept_population(countryamedicalorganization,christian,n3) ),
inference('HYPERRESOLVE',[status(thm)],[6,1035,546]) ).
cnf(149595,plain,
less(n6,n20),
inference('HYPERRESOLVE',[status(thm)],[948,78394,674,688]) ).
cnf(149665,plain,
less(n3,n20),
inference('HYPERRESOLVE',[status(thm)],[948,78394,671,688]) ).
cnf(149826,plain,
~ accept_number(countryccivilorganization,n20),
inference('UR-RESOLVE',[status(thm)],[5,149595,399]) ).
cnf(149835,plain,
( n3 = n20
| accept_population(countryamedicalorganization,christian,n3) ),
inference('REWRITE',[status(thm)],[145250,149826]) ).
cnf(150404,plain,
n3 != n20,
inference('UR-RESOLVE',[status(thm)],[952,149665]) ).
cnf(150407,plain,
accept_population(countryamedicalorganization,christian,n3),
inference('REWRITE',[status(thm)],[149835,150404]) ).
cnf(150798,plain,
~ accept_population(countryamedicalorganization,atheist,n12),
inference('UR-RESOLVE',[status(thm)],[47,150407,78319,957,555,350]) ).
cnf(151112,plain,
~ less(n12,n30),
inference('UR-RESOLVE',[status(thm)],[6,150798,355]) ).
cnf(151116,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,151112,680,698]),140408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : AGT010+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 4 04:55:01 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T04:55:01
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-04T04:55:01
% 0.46/0.63 WARNING:
% 0.46/0.63 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.63 WARNING:
% 0.46/0.63 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 66.94/67.12
% 66.94/67.12
% 66.94/67.12 #||
% 66.94/67.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.94/67.12 % SZS output start Refutation
% See solution above
% 66.94/67.12 ||#
% 66.94/67.12
% 66.94/67.12 ; Summary of computation:
% 66.94/67.12 ; 1619189 formulas have been input or derived (from 133965 formulas).
% 66.94/67.12 ; 151116 ( 9%) were retained. Of these,
% 66.94/67.12 ; 2246 ( 1%) were simplified or subsumed later,
% 66.94/67.12 ; 148870 (99%) are still being kept.
% 66.94/67.12 ;
% 66.94/67.12 ; Run time in seconds excluding printing time:
% 66.94/67.12 ; 0.099 0% Read assertion file (1 call)
% 66.94/67.12 ; 0.007 0% Assert (923 calls)
% 66.94/67.12 ; 8.435 13% Process new row (1,497,343 calls)
% 66.94/67.12 ; 38.460 58% Resolution (267,928 calls)
% 66.94/67.12 ; 0.485 1% Paramodulation (133,964 calls)
% 66.94/67.12 ; 0.000 0% Factoring (73 calls)
% 66.94/67.12 ; 0.144 0% Condensing (25,576 calls)
% 66.94/67.12 ; 0.512 1% Forward subsumption (25,576 calls)
% 66.94/67.12 ; 0.496 1% Backward subsumption (15,656 calls)
% 66.94/67.12 ; 0.050 0% Clause clause subsumption (15,310 calls)
% 66.94/67.12 ; 12.053 18% Forward simplification (1,497,341 calls)
% 66.94/67.12 ; 0.595 1% Backward simplification (151,116 calls)
% 66.94/67.12 ; 0.513 1% Ordering (181,483 calls)
% 66.94/67.12 ; 0.000 0% Sortal reasoning (32 calls)
% 66.94/67.12 ; 0.001 0% Purity testing (1 call)
% 66.94/67.12 ; 4.751 7% Other
% 66.94/67.12 ; 66.601 Total
% 66.94/67.12 ; 66.613 Real time
% 66.94/67.12 ;
% 66.94/67.12 ; Term-hash-array has 136,728 terms in all.
% 66.94/67.12 ; Feature-vector-row-index has 13,450 entries (14,942 at peak, 15,656 added, 2,206 deleted).
% 66.94/67.12 ; Feature-vector-row-index has 4,168 nodes (6,017 at peak, 6,919 added, 2,751 deleted).
% 66.94/67.12 ; Retrieved 261,742 possibly forward subsuming rows in 25,576 calls.
% 66.94/67.12 ; Retrieved 133,116 possibly backward subsumed rows in 15,656 calls.
% 66.94/67.12 ; Path-index has 136,941 entries (136,941 at peak, 137,170 added, 229 deleted).
% 66.94/67.12 ; Path-index has 2,988 nodes (2,988 at peak, 2,989 added, 1 deleted).
% 66.94/67.12 ; Trie-index has 136,941 entries (136,941 at peak, 137,170 added, 229 deleted).
% 66.94/67.12 ; Trie-index has 144,737 nodes (144,737 at peak, 144,991 added, 254 deleted).
% 66.94/67.12 ; Retrieved 2,462,778 generalization terms in 2,987,077 calls.
% 66.94/67.12 ; Retrieved 135,505 instance terms in 135,459 calls.
% 66.94/67.12 ; Retrieved 17,266,193 unifiable terms in 1,946,670 calls.
% 66.94/67.12 ;
% 66.94/67.12 ; The agenda of rows to give has 14946 entries:
% 66.94/67.12 ; 2 with value (4 8) 5254 with value (4 15) 3 with value (4 21)
% 66.94/67.12 ; 250 with value (4 9) 8317 with value (4 16) 29 with value (4 23)
% 66.94/67.12 ; 30 with value (4 11) 162 with value (4 17) 270 with value (4 24)
% 66.94/67.12 ; 35 with value (4 13) 205 with value (4 18) 126 with value (4 25)
% 66.94/67.12 ; 244 with value (4 14) 10 with value (4 19) 9 with value (4 26)
% 66.94/67.12 Evaluation took:
% 66.94/67.12 66.615 seconds of real time
% 66.94/67.12 60.599182 seconds of user run time
% 66.94/67.12 6.007247 seconds of system run time
% 66.94/67.12 [Run times include 8.429 seconds GC run time.]
% 66.94/67.12 0 calls to %EVAL
% 66.94/67.12 0 page faults and
% 66.94/67.12 3,221,826,984 bytes consed.
% 66.94/67.12 :PROOF-FOUND
% 66.94/67.12 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T04:56:08
% 66.94/67.12 :PROOF-FOUND
% 66.94/67.12 *
%------------------------------------------------------------------------------