TSTP Solution File: AGT007+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT007+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 48.67s 48.86s
% Output : Refutation 48.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 36
% Syntax : Number of clauses : 64 ( 48 unt; 0 nHn; 62 RR)
% Number of literals : 91 ( 0 equ; 31 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-2 aty)
% Number of variables : 41 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ accept_team(X,Y,Z,U)
| accept_city(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
cnf(2,axiom,
( ~ accept_team(X,Y,Z,U)
| accept_leader(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
cnf(4,axiom,
( accept_team(X,Y,Z,U)
| ~ accept_city(X,Z)
| ~ accept_leader(X,Y)
| ~ accept_number(X,U) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).
cnf(8,axiom,
( ~ the_agent_in_all_proposed_teams(X,Y,Z)
| accept_city(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).
cnf(60,axiom,
( accept_population(X,atheist,n75)
| ~ accept_city(X,towna) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_11) ).
cnf(79,axiom,
( accept_population(X,christian,n20)
| ~ accept_city(X,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
cnf(86,axiom,
( accept_population(X,muslim,n65)
| ~ accept_city(X,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
cnf(87,axiom,
( accept_population(X,native,n0)
| ~ accept_city(X,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
cnf(88,axiom,
( accept_population(X,other,n5)
| ~ accept_city(X,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
cnf(134,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_46) ).
cnf(165,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_77) ).
cnf(168,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_80) ).
cnf(249,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_161) ).
cnf(292,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_204) ).
cnf(340,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
cnf(342,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).
cnf(343,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
cnf(346,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn8) ).
cnf(403,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn65) ).
cnf(408,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn70) ).
cnf(413,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).
cnf(599,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).
cnf(600,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
cnf(603,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(604,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).
cnf(605,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(606,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
cnf(607,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
cnf(612,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(614,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/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
cnf(615,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(616,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(618,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(627,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_7) ).
cnf(657,plain,
accept_city(countrybcivilorganization,townc),
inference('HYPERRESOLVE',[status(thm)],[8,168]) ).
cnf(671,plain,
accept_city(countrybcivilorganization,towna),
inference('HYPERRESOLVE',[status(thm)],[8,134]) ).
cnf(697,plain,
accept_city(countrybcivilorganization,cityb),
inference('HYPERRESOLVE',[status(thm)],[1,249]) ).
cnf(714,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference('HYPERRESOLVE',[status(thm)],[2,165]) ).
cnf(756,plain,
rdn_non_zero(rdnn(n6)),
inference('HYPERRESOLVE',[status(thm)],[616,599]) ).
cnf(764,plain,
rdn_non_zero(rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[616,600]) ).
cnf(17203,plain,
less(n4,n5),
inference('HYPERRESOLVE',[status(thm)],[618,342,343,607]) ).
cnf(17215,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference('HYPERRESOLVE',[status(thm)],[612,604,605]) ).
cnf(17218,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference('HYPERRESOLVE',[status(thm)],[612,605,606]) ).
cnf(17219,plain,
rdn_positive_less(rdnn(n3),rdnn(n5)),
inference('HYPERRESOLVE',[status(thm)],[612,606,607]) ).
cnf(17641,plain,
accept_population(countrybcivilorganization,other,n5),
inference('HYPERRESOLVE',[status(thm)],[88,657]) ).
cnf(17642,plain,
accept_population(countrybcivilorganization,native,n0),
inference('HYPERRESOLVE',[status(thm)],[87,657]) ).
cnf(17643,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference('HYPERRESOLVE',[status(thm)],[86,657]) ).
cnf(17860,plain,
accept_population(countrybcivilorganization,atheist,n75),
inference('HYPERRESOLVE',[status(thm)],[60,671]) ).
cnf(18184,plain,
accept_population(countrybcivilorganization,christian,n20),
inference('HYPERRESOLVE',[status(thm)],[79,697]) ).
cnf(18391,plain,
~ accept_city(countrybcivilorganization,townb),
inference('UR-RESOLVE',[status(thm)],[4,714,627,292]) ).
cnf(69797,plain,
rdn_positive_less(rdnn(X),rdn(rdnn(Y),rdnn(n6))),
inference('HYPERRESOLVE',[status(thm)],[615,756]) ).
cnf(121816,plain,
accept_population(countrybcivilorganization,other,n4),
inference('HYPERRESOLVE',[status(thm)],[6,17641,17203]) ).
cnf(130003,plain,
rdn_positive_less(rdnn(n0),rdnn(n3)),
inference('HYPERRESOLVE',[status(thm)],[612,17215,603]) ).
cnf(130088,plain,
less(n2,n4),
inference('HYPERRESOLVE',[status(thm)],[618,17218,340,342]) ).
cnf(130315,plain,
accept_population(countrybcivilorganization,other,n2),
inference('HYPERRESOLVE',[status(thm)],[6,121816,130088]) ).
cnf(138091,plain,
rdn_positive_less(rdnn(n0),rdnn(n5)),
inference('HYPERRESOLVE',[status(thm)],[612,130003,17219]) ).
cnf(138444,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
inference('HYPERRESOLVE',[status(thm)],[614,138091,764]) ).
cnf(141930,plain,
less(n8,n65),
inference('HYPERRESOLVE',[status(thm)],[618,69797,346,403]) ).
cnf(142516,plain,
accept_population(countrybcivilorganization,muslim,n8),
inference('HYPERRESOLVE',[status(thm)],[6,141930,17643]) ).
cnf(143358,plain,
~ accept_population(countrybcivilorganization,atheist,n70),
inference('UR-RESOLVE',[status(thm)],[71,142516,18184,17642,130315,18391]) ).
cnf(143395,plain,
~ less(n70,n75),
inference('UR-RESOLVE',[status(thm)],[6,143358,17860]) ).
cnf(143405,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[618,143395,408,413]),138444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : AGT007+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 07:00:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T07:00:03
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-04T07:00:03
% 0.39/0.58 WARNING:
% 0.39/0.58 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.58 WARNING:
% 0.39/0.58 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 48.67/48.86
% 48.67/48.86
% 48.67/48.86 #||
% 48.67/48.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.67/48.86 % SZS output start Refutation
% See solution above
% 48.67/48.86 ||#
% 48.67/48.86
% 48.67/48.86 ; Summary of computation:
% 48.67/48.86 ; 1208157 formulas have been input or derived (from 129516 formulas).
% 48.67/48.86 ; 143405 (12%) were retained. Of these,
% 48.67/48.86 ; 680 ( 0%) were simplified or subsumed later,
% 48.67/48.86 ; 142725 (100%) are still being kept.
% 48.67/48.86 ;
% 48.67/48.86 ; Run time in seconds excluding printing time:
% 48.67/48.86 ; 0.071 0% Read assertion file (1 call)
% 48.67/48.86 ; 0.009 0% Assert (556 calls)
% 48.67/48.86 ; 6.760 14% Process new row (1,088,475 calls)
% 48.67/48.86 ; 27.424 57% Resolution (259,030 calls)
% 48.67/48.86 ; 0.744 2% Paramodulation (129,515 calls)
% 48.67/48.86 ; 0.000 0% Factoring (39 calls)
% 48.67/48.86 ; 0.300 1% Condensing (22,589 calls)
% 48.67/48.86 ; 0.383 1% Forward subsumption (22,589 calls)
% 48.67/48.86 ; 0.275 1% Backward subsumption (12,824 calls)
% 48.67/48.86 ; 0.049 0% Clause clause subsumption (11,636 calls)
% 48.67/48.86 ; 7.955 16% Forward simplification (1,088,473 calls)
% 48.67/48.86 ; 0.568 1% Backward simplification (143,405 calls)
% 48.67/48.86 ; 0.232 0% Ordering (160,248 calls)
% 48.67/48.86 ; 0.000 0% Sortal reasoning (32 calls)
% 48.67/48.86 ; 0.001 0% Purity testing (1 call)
% 48.67/48.86 ; 3.603 7% Other
% 48.67/48.86 ; 48.374 Total
% 48.67/48.86 ; 48.377 Real time
% 48.67/48.86 ;
% 48.67/48.86 ; Term-hash-array has 131,896 terms in all.
% 48.67/48.86 ; Feature-vector-row-index has 12,185 entries (12,491 at peak, 12,824 added, 639 deleted).
% 48.67/48.86 ; Feature-vector-row-index has 4,525 nodes (5,116 at peak, 5,552 added, 1,027 deleted).
% 48.67/48.86 ; Retrieved 250,277 possibly forward subsuming rows in 22,589 calls.
% 48.67/48.86 ; Retrieved 121,211 possibly backward subsumed rows in 12,824 calls.
% 48.67/48.86 ; Path-index has 132,130 entries (132,130 at peak, 132,304 added, 174 deleted).
% 48.67/48.86 ; Path-index has 2,953 nodes (2,953 at peak, 2,954 added, 1 deleted).
% 48.67/48.86 ; Trie-index has 132,130 entries (132,130 at peak, 132,304 added, 174 deleted).
% 48.67/48.86 ; Trie-index has 139,846 nodes (139,846 at peak, 140,043 added, 197 deleted).
% 48.67/48.86 ; Retrieved 1,578,417 generalization terms in 1,921,094 calls.
% 48.67/48.86 ; Retrieved 130,627 instance terms in 130,580 calls.
% 48.67/48.86 ; Retrieved 13,681,944 unifiable terms in 1,853,614 calls.
% 48.67/48.86 ;
% 48.67/48.86 ; The agenda of rows to give has 13250 entries:
% 48.67/48.86 ; 2 with value (4 10) 1583 with value (4 15) 2 with value (4 21)
% 48.67/48.86 ; 30 with value (4 11) 2976 with value (4 16) 29 with value (4 23)
% 48.67/48.86 ; 2 with value (4 12) 7888 with value (4 17) 270 with value (4 24)
% 48.67/48.86 ; 56 with value (4 13) 218 with value (4 18) 126 with value (4 25)
% 48.67/48.86 ; 49 with value (4 14) 10 with value (4 19) 9 with value (4 26)
% 48.67/48.86 Evaluation took:
% 48.67/48.86 48.378 seconds of real time
% 48.67/48.86 44.0593 seconds of user run time
% 48.67/48.86 4.320289 seconds of system run time
% 48.67/48.86 [Run times include 5.627 seconds GC run time.]
% 48.67/48.86 0 calls to %EVAL
% 48.67/48.86 0 page faults and
% 48.67/48.86 2,453,726,240 bytes consed.
% 48.67/48.86 :PROOF-FOUND
% 48.67/48.86 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T07:00:51
% 48.67/48.86 :PROOF-FOUND
% 48.67/48.86 *
%------------------------------------------------------------------------------