%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT020+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 12:03:58 EDT 2022
% Result : Theorem 36.32s 36.52s
% Output : Refutation 36.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of clauses : 43 ( 28 unt; 0 nHn; 42 RR)
% Number of literals : 71 ( 0 equ; 33 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 26 ( 26 usr; 23 con; 0-2 aty)
% Number of variables : 36 ( 6 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(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(9,axiom,
( ~ any_agent_in_all_proposed_teams(X,Y,Z)
| accept_leader(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).
cnf(10,axiom,
( ~ the_agent_not_in_any_proposed_teams(X,Y,Z)
| ~ accept_city(X,Z)
| ~ accept_leader(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).
cnf(52,axiom,
( accept_population(X,other,n0)
| ~ accept_city(X,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).
cnf(59,axiom,
( ~ accept_population(X,atheist,n75)
| ~ accept_population(X,christian,n24)
| ~ accept_population(X,muslim,n1)
| ~ accept_population(X,native,n0)
| ~ accept_population(X,other,n0)
| accept_city(X,towna) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
cnf(78,axiom,
( accept_population(X,atheist,n78)
| ~ accept_city(X,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
cnf(80,axiom,
( accept_population(X,muslim,n1)
| ~ accept_city(X,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
cnf(87,axiom,
( accept_population(X,native,n0)
| ~ accept_city(X,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
cnf(99,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_11) ).
cnf(100,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_12) ).
cnf(185,axiom,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_97) ).
cnf(192,axiom,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).
cnf(261,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_173) ).
cnf(413,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).
cnf(416,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).
cnf(600,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
cnf(608,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
cnf(609,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).
cnf(610,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).
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(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_population(X,christian,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_20) ).
cnf(629,plain,
( ~ accept_population(X,atheist,n75)
| ~ accept_population(X,muslim,n1)
| ~ accept_population(X,native,n0)
| ~ accept_population(X,other,n0)
| accept_city(X,towna) ),
inference('REWRITE',[status(thm)],[59,627]) ).
cnf(671,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference('HYPERRESOLVE',[status(thm)],[8,192]) ).
cnf(692,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference('HYPERRESOLVE',[status(thm)],[9,100]) ).
cnf(703,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference('HYPERRESOLVE',[status(thm)],[1,185]) ).
cnf(712,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference('HYPERRESOLVE',[status(thm)],[1,261]) ).
cnf(777,plain,
rdn_non_zero(rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[616,600]) ).
cnf(17226,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[612,608,609]) ).
cnf(17674,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference('HYPERRESOLVE',[status(thm)],[87,671]) ).
cnf(17967,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference('UR-RESOLVE',[status(thm)],[10,692,99]) ).
cnf(18078,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference('HYPERRESOLVE',[status(thm)],[52,703]) ).
cnf(18194,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference('HYPERRESOLVE',[status(thm)],[80,712]) ).
cnf(18195,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference('HYPERRESOLVE',[status(thm)],[78,712]) ).
cnf(127945,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference('UR-RESOLVE',[status(thm)],[629,18194,17674,18078,17967]) ).
cnf(135004,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference('HYPERRESOLVE',[status(thm)],[612,17226,610]) ).
cnf(141407,plain,
~ less(n75,n78),
inference('UR-RESOLVE',[status(thm)],[6,127945,18195]) ).
cnf(143930,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference('UR-RESOLVE',[status(thm)],[618,141407,413,416]) ).
cnf(143944,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[614,135004,777]),143930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT020+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 05:06:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-04T05:06:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-04T05:06:35
% 0.19/0.56 WARNING:
% 0.19/0.56 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.56 WARNING:
% 0.19/0.56 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 36.32/36.52
% 36.32/36.52
% 36.32/36.52 #||
% 36.32/36.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.32/36.52 % SZS output start Refutation
% See solution above
% 36.32/36.52 ||#
% 36.32/36.52
% 36.32/36.52 ; Summary of computation:
% 36.32/36.52 ; 747532 formulas have been input or derived (from 126047 formulas).
% 36.32/36.52 ; 143944 (19%) were retained. Of these,
% 36.32/36.52 ; 68 ( 0%) were simplified or subsumed later,
% 36.32/36.52 ; 143876 (100%) are still being kept.
% 36.32/36.52 ;
% 36.32/36.52 ; Run time in seconds excluding printing time:
% 36.32/36.52 ; 0.070 0% Read assertion file (1 call)
% 36.32/36.52 ; 0.009 0% Assert (556 calls)
% 36.32/36.52 ; 6.369 18% Process new row (614,145 calls)
% 36.32/36.52 ; 21.766 60% Resolution (252,092 calls)
% 36.32/36.52 ; 0.495 1% Paramodulation (126,046 calls)
% 36.32/36.52 ; 0.000 0% Factoring (1 call)
% 36.32/36.52 ; 0.192 1% Condensing (15,967 calls)
% 36.32/36.52 ; 0.372 1% Forward subsumption (15,967 calls)
% 36.32/36.52 ; 0.215 1% Backward subsumption (8,049 calls)
% 36.32/36.52 ; 0.040 0% Clause clause subsumption (7,919 calls)
% 36.32/36.52 ; 2.895 8% Forward simplification (614,143 calls)
% 36.32/36.52 ; 0.597 2% Backward simplification (143,944 calls)
% 36.32/36.52 ; 0.261 1% Ordering (136,513 calls)
% 36.32/36.52 ; 0.000 0% Sortal reasoning (32 calls)
% 36.32/36.52 ; 0.001 0% Purity testing (1 call)
% 36.32/36.52 ; 2.761 8% Other
% 36.32/36.52 ; 36.043 Total
% 36.32/36.52 ; 36.050 Real time
% 36.32/36.52 ;
% 36.32/36.52 ; Term-hash-array has 136,776 terms in all.
% 36.32/36.52 ; Feature-vector-row-index has 8,021 entries (8,021 at peak, 8,049 added, 28 deleted).
% 36.32/36.52 ; Feature-vector-row-index has 1,067 nodes (1,067 at peak, 1,217 added, 150 deleted).
% 36.32/36.52 ; Retrieved 206,457 possibly forward subsuming rows in 15,967 calls.
% 36.32/36.52 ; Retrieved 99,270 possibly backward subsumed rows in 8,049 calls.
% 36.32/36.52 ; Path-index has 137,012 entries (137,012 at peak, 137,064 added, 52 deleted).
% 36.32/36.52 ; Path-index has 2,864 nodes (2,864 at peak, 2,871 added, 7 deleted).
% 36.32/36.52 ; Trie-index has 137,012 entries (137,012 at peak, 137,064 added, 52 deleted).
% 36.32/36.52 ; Trie-index has 141,881 nodes (141,881 at peak, 141,955 added, 74 deleted).
% 36.32/36.52 ; Retrieved 593,070 generalization terms in 694,984 calls.
% 36.32/36.52 ; Retrieved 135,950 instance terms in 135,894 calls.
% 36.32/36.52 ; Retrieved 12,103,383 unifiable terms in 1,695,307 calls.
% 36.32/36.52 ;
% 36.32/36.52 ; The agenda of rows to process has 11 entries:
% 36.32/36.52 ; 11 with value 17
% 36.32/36.52 ; The agenda of rows to give has 17869 entries:
% 36.32/36.52 ; 2 with value (4 7) 62 with value (4 12) 396 with value (4 16)
% 36.32/36.52 ; 35 with value (4 9) 68 with value (4 13) 6179 with value (4 17)
% 36.32/36.52 ; 7013 with value (4 10) 9 with value (4 14) 3 with value (4 19)
% 36.32/36.52 ; 2511 with value (4 11) 1562 with value (4 15) 29 with value (4 23)
% 36.32/36.52 Evaluation took:
% 36.32/36.52 36.051 seconds of real time
% 36.32/36.52 32.796658 seconds of user run time
% 36.32/36.52 3.250606 seconds of system run time
% 36.32/36.52 [Run times include 4.27 seconds GC run time.]
% 36.32/36.52 0 calls to %EVAL
% 36.32/36.52 0 page faults and
% 36.32/36.52 1,638,556,624 bytes consed.
% 36.32/36.52 :PROOF-FOUND
% 36.32/36.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T05:07:11
% 36.32/36.52 :PROOF-FOUND
% 36.32/36.52 *
%------------------------------------------------------------------------------