TSTP Solution File: AGT018+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : AGT018+2 : 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 12:03:58 EDT 2022
% Result : Theorem 37.57s 37.75s
% Output : Refutation 37.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 26 ( 19 unt; 0 nHn; 25 RR)
% Number of literals : 45 ( 0 equ; 23 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 : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(430,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_93) ).
cnf(538,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_203) ).
cnf(539,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_204) ).
cnf(541,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_206) ).
cnf(666,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_366) ).
cnf(743,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).
cnf(746,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).
cnf(930,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
cnf(938,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
cnf(939,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).
cnf(940,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/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(957,negated_conjecture,
accept_population(X,christian,n24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_18) ).
cnf(958,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)],[59,957]) ).
cnf(979,plain,
rdn_non_zero(rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[946,930]) ).
cnf(19434,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference('HYPERRESOLVE',[status(thm)],[942,938,939]) ).
cnf(19442,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference('UR-RESOLVE',[status(thm)],[958,539,538,430,666]) ).
cnf(78464,plain,
~ less(n75,n78),
inference('UR-RESOLVE',[status(thm)],[6,19442,541]) ).
cnf(132587,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference('UR-RESOLVE',[status(thm)],[948,78464,743,746]) ).
cnf(138937,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference('HYPERRESOLVE',[status(thm)],[942,19434,940]) ).
cnf(139230,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[944,138937,979]),132587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT018+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.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 04:21:32 EDT 2022
% 0.12/0.34 % 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 2022-06-04T04:21:33
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-04T04:21:33
% 0.41/0.57 WARNING:
% 0.41/0.57 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.57 WARNING:
% 0.41/0.57 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 37.57/37.75
% 37.57/37.75
% 37.57/37.75 #||
% 37.57/37.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.57/37.75 % SZS output start Refutation
% See solution above
% 37.57/37.76 ||#
% 37.57/37.76
% 37.57/37.76 ; Summary of computation:
% 37.57/37.76 ; 737376 formulas have been input or derived (from 129171 formulas).
% 37.57/37.76 ; 139230 (19%) were retained. Of these,
% 37.57/37.76 ; 1463 ( 1%) were simplified or subsumed later,
% 37.57/37.76 ; 137767 (99%) are still being kept.
% 37.57/37.76 ;
% 37.57/37.76 ; Run time in seconds excluding printing time:
% 37.57/37.76 ; 0.086 0% Read assertion file (1 call)
% 37.57/37.76 ; 0.007 0% Assert (923 calls)
% 37.57/37.76 ; 5.897 16% Process new row (619,030 calls)
% 37.57/37.76 ; 24.118 65% Resolution (258,340 calls)
% 37.57/37.76 ; 0.489 1% Paramodulation (129,170 calls)
% 37.57/37.76 ; 0.000 0% Factoring (1 call)
% 37.57/37.76 ; 0.114 0% Condensing (16,342 calls)
% 37.57/37.76 ; 0.361 1% Forward subsumption (16,342 calls)
% 37.57/37.76 ; 0.191 1% Backward subsumption (8,233 calls)
% 37.57/37.76 ; 0.030 0% Clause clause subsumption (8,110 calls)
% 37.57/37.76 ; 2.676 7% Forward simplification (619,028 calls)
% 37.57/37.76 ; 0.523 1% Backward simplification (139,230 calls)
% 37.57/37.76 ; 0.216 1% Ordering (137,475 calls)
% 37.57/37.76 ; 0.000 0% Sortal reasoning (32 calls)
% 37.57/37.76 ; 0.001 0% Purity testing (1 call)
% 37.57/37.76 ; 2.578 7% Other
% 37.57/37.76 ; 37.287 Total
% 37.57/37.76 ; 37.289 Real time
% 37.57/37.76 ;
% 37.57/37.76 ; Term-hash-array has 131,904 terms in all.
% 37.57/37.76 ; Feature-vector-row-index has 8,229 entries (8,229 at peak, 8,233 added, 4 deleted).
% 37.57/37.76 ; Feature-vector-row-index has 1,190 nodes (1,190 at peak, 1,202 added, 12 deleted).
% 37.57/37.76 ; Retrieved 210,688 possibly forward subsuming rows in 16,342 calls.
% 37.57/37.76 ; Retrieved 101,282 possibly backward subsumed rows in 8,233 calls.
% 37.57/37.76 ; Path-index has 130,731 entries (130,731 at peak, 132,192 added, 1,461 deleted).
% 37.57/37.76 ; Path-index has 2,872 nodes (2,872 at peak, 2,873 added, 1 deleted).
% 37.57/37.76 ; Trie-index has 130,731 entries (130,731 at peak, 132,192 added, 1,461 deleted).
% 37.57/37.76 ; Trie-index has 135,574 nodes (135,574 at peak, 137,060 added, 1,486 deleted).
% 37.57/37.76 ; Retrieved 602,862 generalization terms in 700,223 calls.
% 37.57/37.76 ; Retrieved 132,461 instance terms in 130,996 calls.
% 37.57/37.76 ; Retrieved 14,891,445 unifiable terms in 1,716,045 calls.
% 37.57/37.76 ;
% 37.57/37.76 ; The agenda of rows to process has 11 entries:
% 37.57/37.76 ; 11 with value 17
% 37.57/37.76 ; The agenda of rows to give has 8636 entries:
% 37.57/37.76 ; 2 with value (4 7) 59 with value (4 12) 6546 with value (4 16)
% 37.57/37.76 ; 18 with value (4 9) 89 with value (4 13) 43 with value (4 17)
% 37.57/37.76 ; 67 with value (4 10) 161 with value (4 14) 29 with value (4 23)
% 37.57/37.76 ; 65 with value (4 11) 1557 with value (4 15)
% 37.57/37.76 Evaluation took:
% 37.57/37.76 37.291 seconds of real time
% 37.57/37.76 34.263206 seconds of user run time
% 37.57/37.76 3.027874 seconds of system run time
% 37.57/37.76 [Run times include 3.857 seconds GC run time.]
% 37.57/37.76 0 calls to %EVAL
% 37.57/37.76 0 page faults and
% 37.57/37.76 1,640,384,288 bytes consed.
% 37.57/37.76 :PROOF-FOUND
% 37.57/37.76 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T04:22:10
% 37.57/37.76 :PROOF-FOUND
% 37.57/37.76 *
%------------------------------------------------------------------------------