TSTP Solution File: AGT007+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT007+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 12:03:55 EDT 2022
% Result : Theorem 61.86s 62.07s
% Output : Refutation 61.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 33
% Syntax : Number of clauses : 54 ( 46 unt; 0 nHn; 52 RR)
% Number of literals : 73 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( accept_team(X,Y,Z,U)
| ~ accept_city(X,Z)
| ~ accept_leader(X,Y)
| ~ accept_number(X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).
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(71,axiom,
( ~ accept_population(X,atheist,n70)
| ~ accept_population(X,christian,n20)
| ~ accept_population(X,muslim,n8)
| ~ accept_population(X,native,n0)
| ~ accept_population(X,other,n2)
| accept_city(X,townb) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_11) ).
cnf(292,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_204) ).
cnf(381,axiom,
accept_population(countrybcivilorganization,other,n5),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_44) ).
cnf(382,axiom,
accept_population(countrybcivilorganization,muslim,n65),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_45) ).
cnf(388,axiom,
accept_population(countrybcivilorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_51) ).
cnf(389,axiom,
accept_population(countrybcivilorganization,atheist,n78),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_52) ).
cnf(621,axiom,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_292) ).
cnf(625,axiom,
accept_population(countrybcivilorganization,native,n0),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_296) ).
cnf(670,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
cnf(672,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn4) ).
cnf(673,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
cnf(676,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn8) ).
cnf(733,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn65) ).
cnf(738,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn70) ).
cnf(746,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn78) ).
cnf(929,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).
cnf(930,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
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(936,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
cnf(937,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
cnf(938,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
cnf(939,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).
cnf(940,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).
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(944,axiom,
( ~ rdn_positive_less(rdnn(X),rdnn(Y))
| ~ rdn_non_zero(Z)
| rdn_positive_less(rdn(rdnn(X),Z),rdn(rdnn(Y),Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
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(957,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_7) ).
cnf(970,plain,
rdn_non_zero(rdnn(n6)),
inference('HYPERRESOLVE',[status(thm)],[946,929]) ).
cnf(978,plain,
rdn_non_zero(rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[946,930]) ).
cnf(17899,plain,
~ accept_city(countrybcivilorganization,townb),
inference('UR-RESOLVE',[status(thm)],[4,957,621,292]) ).
cnf(19434,plain,
less(n4,n5),
inference('HYPERRESOLVE',[status(thm)],[948,672,673,937]) ).
cnf(19445,plain,
rdn_positive_less(rdnn(n4),rdnn(n6)),
inference('HYPERRESOLVE',[status(thm)],[942,937,938]) ).
cnf(19448,plain,
rdn_positive_less(rdnn(n0),rdnn(n2)),
inference('HYPERRESOLVE',[status(thm)],[942,933,934]) ).
cnf(19449,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference('HYPERRESOLVE',[status(thm)],[942,935,936]) ).
cnf(19451,plain,
rdn_positive_less(rdnn(n6),rdnn(n8)),
inference('HYPERRESOLVE',[status(thm)],[942,939,940]) ).
cnf(78337,plain,
accept_population(countrybcivilorganization,other,n4),
inference('HYPERRESOLVE',[status(thm)],[6,19434,381]) ).
cnf(78374,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n6))),
inference('HYPERRESOLVE',[status(thm)],[945,970]) ).
cnf(140477,plain,
less(n2,n4),
inference('HYPERRESOLVE',[status(thm)],[948,19449,670,672]) ).
cnf(140481,plain,
rdn_positive_less(rdnn(n0),rdnn(n4)),
inference('HYPERRESOLVE',[status(thm)],[942,19449,19448]) ).
cnf(140500,plain,
accept_population(countrybcivilorganization,other,n2),
inference('HYPERRESOLVE',[status(thm)],[6,140477,78337]) ).
cnf(140548,plain,
rdn_positive_less(rdnn(n4),rdnn(n8)),
inference('HYPERRESOLVE',[status(thm)],[942,19451,19445]) ).
cnf(140901,plain,
rdn_positive_less(rdnn(n0),rdnn(n8)),
inference('HYPERRESOLVE',[status(thm)],[942,140548,140481]) ).
cnf(141172,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference('HYPERRESOLVE',[status(thm)],[944,140901,978]) ).
cnf(146901,plain,
less(n8,n65),
inference('HYPERRESOLVE',[status(thm)],[948,78374,676,733]) ).
cnf(147544,plain,
accept_population(countrybcivilorganization,muslim,n8),
inference('HYPERRESOLVE',[status(thm)],[6,146901,382]) ).
cnf(148386,plain,
~ accept_population(countrybcivilorganization,atheist,n70),
inference('UR-RESOLVE',[status(thm)],[71,147544,388,625,140500,17899]) ).
cnf(148422,plain,
~ less(n70,n78),
inference('UR-RESOLVE',[status(thm)],[6,148386,389]) ).
cnf(148433,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,148422,738,746]),141172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : AGT007+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 04:29:02 EDT 2022
% 0.13/0.34 % 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 2022-06-04T04:29:02
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-04T04:29:02
% 0.19/0.59 WARNING:
% 0.19/0.59 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.59 WARNING:
% 0.19/0.59 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 61.86/62.07
% 61.86/62.07
% 61.86/62.07 #||
% 61.86/62.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.86/62.07 % SZS output start Refutation
% See solution above
% 61.86/62.09 ||#
% 61.86/62.09
% 61.86/62.09 ; Summary of computation:
% 61.86/62.09 ; 1567446 formulas have been input or derived (from 132159 formulas).
% 61.86/62.09 ; 148433 ( 9%) were retained. Of these,
% 61.86/62.09 ; 979 ( 1%) were simplified or subsumed later,
% 61.86/62.09 ; 147454 (99%) are still being kept.
% 61.86/62.09 ;
% 61.86/62.09 ; Run time in seconds excluding printing time:
% 61.86/62.09 ; 0.099 0% Read assertion file (1 call)
% 61.86/62.09 ; 0.009 0% Assert (923 calls)
% 61.86/62.09 ; 8.789 14% Process new row (1,447,292 calls)
% 61.86/62.09 ; 33.395 54% Resolution (264,316 calls)
% 61.86/62.09 ; 0.506 1% Paramodulation (132,158 calls)
% 61.86/62.09 ; 0.001 0% Factoring (73 calls)
% 61.86/62.09 ; 0.149 0% Condensing (25,160 calls)
% 61.86/62.09 ; 0.459 1% Forward subsumption (25,160 calls)
% 61.86/62.09 ; 0.540 1% Backward subsumption (15,262 calls)
% 61.86/62.09 ; 0.042 0% Clause clause subsumption (14,451 calls)
% 61.86/62.09 ; 12.344 20% Forward simplification (1,447,290 calls)
% 61.86/62.09 ; 0.505 1% Backward simplification (148,433 calls)
% 61.86/62.09 ; 0.232 0% Ordering (172,113 calls)
% 61.86/62.09 ; 0.001 0% Sortal reasoning (32 calls)
% 61.86/62.09 ; 0.001 0% Purity testing (1 call)
% 61.86/62.09 ; 4.511 7% Other
% 61.86/62.09 ; 61.583 Total
% 61.86/62.09 ; 61.621 Real time
% 61.86/62.09 ;
% 61.86/62.09 ; Term-hash-array has 134,488 terms in all.
% 61.86/62.09 ; Feature-vector-row-index has 14,324 entries (14,871 at peak, 15,262 added, 938 deleted).
% 61.86/62.09 ; Feature-vector-row-index has 5,333 nodes (6,017 at peak, 6,473 added, 1,140 deleted).
% 61.86/62.09 ; Retrieved 260,116 possibly forward subsuming rows in 25,160 calls.
% 61.86/62.09 ; Retrieved 128,830 possibly backward subsumed rows in 15,262 calls.
% 61.86/62.09 ; Path-index has 134,722 entries (134,722 at peak, 134,897 added, 175 deleted).
% 61.86/62.09 ; Path-index has 2,956 nodes (2,956 at peak, 2,957 added, 1 deleted).
% 61.86/62.09 ; Trie-index has 134,722 entries (134,722 at peak, 134,897 added, 175 deleted).
% 61.86/62.09 ; Trie-index has 142,467 nodes (142,467 at peak, 142,668 added, 201 deleted).
% 61.86/62.09 ; Retrieved 2,409,853 generalization terms in 2,932,480 calls.
% 61.86/62.09 ; Retrieved 133,217 instance terms in 133,170 calls.
% 61.86/62.09 ; Retrieved 16,748,010 unifiable terms in 1,895,905 calls.
% 61.86/62.09 ;
% 61.86/62.09 ; The agenda of rows to give has 15337 entries:
% 61.86/62.09 ; 1 with value (4 10) 6113 with value (4 15) 3 with value (4 21)
% 61.86/62.09 ; 30 with value (4 11) 8096 with value (4 16) 29 with value (4 23)
% 61.86/62.09 ; 2 with value (4 12) 162 with value (4 17) 270 with value (4 24)
% 61.86/62.09 ; 38 with value (4 13) 205 with value (4 18) 126 with value (4 25)
% 61.86/62.09 ; 243 with value (4 14) 10 with value (4 19) 9 with value (4 26)
% 61.86/62.09 Evaluation took:
% 61.86/62.09 61.623 seconds of real time
% 61.86/62.09 55.93092 seconds of user run time
% 61.86/62.09 5.672165 seconds of system run time
% 61.86/62.09 [Run times include 7.785 seconds GC run time.]
% 61.86/62.09 0 calls to %EVAL
% 61.86/62.09 0 page faults and
% 61.86/62.09 3,150,006,584 bytes consed.
% 61.86/62.09 :PROOF-FOUND
% 61.86/62.09 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T04:30:04
% 61.86/62.09 :PROOF-FOUND
% 61.86/62.09 *
%------------------------------------------------------------------------------