TSTP Solution File: AGT023+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT023+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 25.83s 26.08s
% Output : Refutation 25.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 23 RR)
% Number of literals : 54 ( 0 equ; 29 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 25 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_9) ).
cnf(66,axiom,
( accept_population(X,atheist,n75)
| ~ accept_city(X,citya) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).
cnf(67,axiom,
( accept_population(X,christian,n25)
| ~ accept_city(X,citya) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).
cnf(69,axiom,
( accept_population(X,native,n0)
| ~ accept_city(X,citya) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).
cnf(70,axiom,
( accept_population(X,other,n0)
| ~ accept_city(X,citya) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_10) ).
cnf(539,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_204) ).
cnf(666,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_366) ).
cnf(692,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn24) ).
cnf(693,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn25) ).
cnf(925,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(937,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
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(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_city(X,citya),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_23) ).
cnf(958,plain,
accept_population(X,atheist,n75),
inference('REWRITE',[status(thm)],[66,957]) ).
cnf(959,plain,
( ~ accept_population(X,christian,n24)
| ~ accept_population(X,muslim,n1)
| ~ accept_population(X,native,n0)
| ~ accept_population(X,other,n0)
| accept_city(X,towna) ),
inference('REWRITE',[status(thm)],[59,958]) ).
cnf(960,plain,
accept_population(X,christian,n25),
inference('REWRITE',[status(thm)],[67,957]) ).
cnf(965,plain,
accept_population(X,native,n0),
inference('REWRITE',[status(thm)],[69,957]) ).
cnf(969,plain,
( ~ accept_population(X,christian,n24)
| ~ accept_population(X,muslim,n1)
| ~ accept_population(X,other,n0)
| accept_city(X,towna) ),
inference('REWRITE',[status(thm)],[959,965]) ).
cnf(970,plain,
accept_population(X,other,n0),
inference('REWRITE',[status(thm)],[70,957]) ).
cnf(973,plain,
( ~ accept_population(X,christian,n24)
| ~ accept_population(X,muslim,n1)
| accept_city(X,towna) ),
inference('REWRITE',[status(thm)],[969,970]) ).
cnf(988,plain,
rdn_non_zero(rdnn(n2)),
inference('HYPERRESOLVE',[status(thm)],[946,925]) ).
cnf(1562,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference('UR-RESOLVE',[status(thm)],[973,539,666]) ).
cnf(78920,plain,
rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference('HYPERRESOLVE',[status(thm)],[944,988,937]) ).
cnf(78997,plain,
~ less(n24,n25),
inference('UR-RESOLVE',[status(thm)],[6,1562,960]) ).
cnf(143441,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[948,78997,692,693]),78920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : AGT023+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n022.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 03:58:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T03:58:06
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-04T03:58:06
% 0.43/0.60 WARNING:
% 0.43/0.60 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60 WARNING:
% 0.43/0.60 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 25.83/26.08
% 25.83/26.08
% 25.83/26.08 #||
% 25.83/26.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.83/26.08 % SZS output start Refutation
% See solution above
% 25.83/26.08 ||#
% 25.83/26.08
% 25.83/26.08 ; Summary of computation:
% 25.83/26.08 ; 457150 formulas have been input or derived (from 68439 formulas).
% 25.83/26.08 ; 143441 (31%) were retained. Of these,
% 25.83/26.08 ; 7152 ( 5%) were simplified or subsumed later,
% 25.83/26.08 ; 136289 (95%) are still being kept.
% 25.83/26.08 ;
% 25.83/26.08 ; Run time in seconds excluding printing time:
% 25.83/26.08 ; 0.100 0% Read assertion file (1 call)
% 25.83/26.08 ; 0.007 0% Assert (923 calls)
% 25.83/26.08 ; 6.517 25% Process new row (342,592 calls)
% 25.83/26.08 ; 14.115 55% Resolution (136,876 calls)
% 25.83/26.08 ; 0.296 1% Paramodulation (68,438 calls)
% 25.83/26.08 ; 0.000 0% Factoring (1 call)
% 25.83/26.08 ; 0.034 0% Condensing (3,629 calls)
% 25.83/26.08 ; 0.049 0% Forward subsumption (3,629 calls)
% 25.83/26.08 ; 0.030 0% Backward subsumption (1,876 calls)
% 25.83/26.08 ; 0.003 0% Clause clause subsumption (1,754 calls)
% 25.83/26.08 ; 1.965 8% Forward simplification (342,590 calls)
% 25.83/26.08 ; 0.767 3% Backward simplification (143,441 calls)
% 25.83/26.08 ; 0.203 1% Ordering (105,590 calls)
% 25.83/26.08 ; 0.000 0% Sortal reasoning (32 calls)
% 25.83/26.08 ; 0.001 0% Purity testing (1 call)
% 25.83/26.08 ; 1.497 6% Other
% 25.83/26.08 ; 25.584 Total
% 25.83/26.08 ; 25.599 Real time
% 25.83/26.08 ;
% 25.83/26.08 ; Term-hash-array has 142,452 terms in all.
% 25.83/26.08 ; Feature-vector-row-index has 1,848 entries (1,848 at peak, 1,876 added, 28 deleted).
% 25.83/26.08 ; Feature-vector-row-index has 748 nodes (748 at peak, 861 added, 113 deleted).
% 25.83/26.08 ; Retrieved 33,110 possibly forward subsuming rows in 3,629 calls.
% 25.83/26.08 ; Retrieved 15,667 possibly backward subsumed rows in 1,876 calls.
% 25.83/26.08 ; Path-index has 135,614 entries (135,614 at peak, 142,739 added, 7,125 deleted).
% 25.83/26.08 ; Path-index has 2,869 nodes (2,869 at peak, 2,871 added, 2 deleted).
% 25.83/26.08 ; Trie-index has 135,614 entries (135,614 at peak, 142,739 added, 7,125 deleted).
% 25.83/26.08 ; Trie-index has 140,371 nodes (140,371 at peak, 147,524 added, 7,153 deleted).
% 25.83/26.08 ; Retrieved 315,734 generalization terms in 398,383 calls.
% 25.83/26.08 ; Retrieved 148,694 instance terms in 141,564 calls.
% 25.83/26.08 ; Retrieved 10,185,460 unifiable terms in 1,155,255 calls.
% 25.83/26.08 ;
% 25.83/26.08 ; The agenda of rows to give has 67890 entries:
% 25.83/26.08 ; 19071 with value (4 7) 43 with value (4 11) 171 with value (4 16)
% 25.83/26.08 ; 279 with value (4 8) 80 with value (4 13) 1 with value (4 17)
% 25.83/26.08 ; 46459 with value (4 9) 134 with value (4 14) 29 with value (4 23)
% 25.83/26.08 ; 66 with value (4 10) 1557 with value (4 15)
% 25.83/26.08 Evaluation took:
% 25.83/26.08 25.602 seconds of real time
% 25.83/26.08 23.629845 seconds of user run time
% 25.83/26.08 1.958459 seconds of system run time
% 25.83/26.08 [Run times include 3.513 seconds GC run time.]
% 25.83/26.08 0 calls to %EVAL
% 25.83/26.08 0 page faults and
% 25.83/26.08 1,301,033,696 bytes consed.
% 25.83/26.08 :PROOF-FOUND
% 25.83/26.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T03:58:32
% 25.83/26.08 :PROOF-FOUND
% 25.83/26.08 *
%------------------------------------------------------------------------------