TSTP Solution File: SWW473_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW473_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 21 01:25:11 EDT 2022
% Result : Theorem 18.44s 18.67s
% Output : Refutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 3 equ)
% Maximal formula atoms : 3 ( 11 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 137 ( 137 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 17 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(236,axiom,
! [X: x_a,Y: fun_a_bool] : ( insert_a(X,Y) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_insert__compr) ).
tff(343,axiom,
! [X: pname,Y: fun_pname_bool,Z: fun_pname_a] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X),Y))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(Z,X)),image_pname_a(Z,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_imageI) ).
tff(376,axiom,
! [X: x_a,Y: fun_a_bool,Z: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X,Y)),Z))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X),Z))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y),Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).
tff(377,plain,
! [X: x_a,Y: fun_a_bool,Z: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Y)))),Z))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X),Z))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y),Z)) ),
inference('REWRITE',[status(thm)],[376,236,theory(equality)]) ).
tff(460,axiom,
! [X: fun_a_1255737515l_bool,Y: fun_a_bool,Z: x_a] : ( hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X),Y),Z) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo) ).
tff(461,axiom,
! [X: fun_a_fun_a_bool,Y: fun_pname_a,Z: pname] : ( hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X,Y),Z) = hAPP_a_fun_a_bool(X,hAPP_pname_a(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna) ).
tff(489,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(492,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
tff(495,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
tff(496,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_p1534023578a_bool(cOMBB_1897541054_pname(cOMBC_a_a_bool(fequal_a),mgt_call),pn)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference('REWRITE',[status(thm)],[495,461,236,theory(equality)]) ).
tff(502,plain,
! [X: pname,Y: fun_pname_bool,Z: fun_pname_a] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X),Y))
| hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(Z,Y)),hAPP_pname_a(Z,X))) ),
inference('REWRITE',[status(thm)],[343,460,theory(equality)]) ).
tff(516,plain,
! [X: x_a,Y: fun_a_bool,Z: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Y)))),Z))
| ~ hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Z),X))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y),Z)) ),
inference('REWRITE',[status(thm)],[377,460,theory(equality)]) ).
tff(1469,plain,
! [X: fun_pname_a] : hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X,u)),hAPP_pname_a(X,pn))),
inference('HYPERRESOLVE',[status(thm)],[502,492]) ).
cnf(39374,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[516,1469,489]),496,461,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW473_1 : TPTP v8.1.0. Released v5.3.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun Jun 5 09:20:48 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T09:20:48
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-05T09:20:48
% 18.44/18.67
% 18.44/18.67
% 18.44/18.67 #||
% 18.44/18.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.44/18.67 % SZS output start Refutation
% See solution above
% 18.44/18.67 ||#
% 18.44/18.67
% 18.44/18.67 ; Summary of computation:
% 18.44/18.67 ; 72119 formulas have been input or derived (from 572 formulas).
% 18.44/18.67 ; 39374 (55%) were retained. Of these,
% 18.44/18.67 ; 290 ( 1%) were simplified or subsumed later,
% 18.44/18.67 ; 39084 (99%) are still being kept.
% 18.44/18.67 ;
% 18.44/18.67 ; Run time in seconds excluding printing time:
% 18.44/18.67 ; 0.093 1% Read assertion file (1 call)
% 18.44/18.67 ; 0.009 0% Assert (368 calls)
% 18.44/18.67 ; 5.411 30% Process new row (68,401 calls)
% 18.44/18.67 ; 4.723 26% Resolution (1,142 calls)
% 18.44/18.67 ; 0.036 0% Paramodulation (571 calls)
% 18.44/18.67 ; 0.000 0% Factoring (15 calls)
% 18.44/18.67 ; 0.076 0% Condensing (7,146 calls)
% 18.44/18.67 ; 2.104 12% Forward subsumption (7,146 calls)
% 18.44/18.67 ; 1.003 5% Backward subsumption (6,331 calls)
% 18.44/18.67 ; 0.081 0% Clause clause subsumption (7,421 calls)
% 18.44/18.67 ; 2.896 16% Forward simplification (68,401 calls)
% 18.44/18.67 ; 0.758 4% Backward simplification (39,277 calls)
% 18.44/18.67 ; 0.819 4% Ordering (135,731 calls)
% 18.44/18.67 ; 0.007 0% Sortal reasoning (9,519 calls)
% 18.44/18.67 ; 0.000 0% Purity testing (1 call)
% 18.44/18.67 ; 0.255 1% Other
% 18.44/18.67 ; 18.271 Total
% 18.44/18.67 ; 18.288 Real time
% 18.44/18.67 ;
% 18.44/18.68 ; Term-hash-array has 87,770 terms in all.
% 18.44/18.68 ; Feature-vector-row-index has 6,173 entries (6,173 at peak, 6,331 added, 158 deleted).
% 18.44/18.68 ; Feature-vector-row-index has 96,919 nodes (96,919 at peak, 99,229 added, 2,310 deleted).
% 18.44/18.68 ; Retrieved 11,869 possibly forward subsuming rows in 7,146 calls.
% 18.44/18.68 ; Retrieved 1,073 possibly backward subsumed rows in 6,331 calls.
% 18.44/18.68 ; Path-index has 87,344 entries (87,344 at peak, 88,091 added, 747 deleted).
% 18.44/18.68 ; Path-index has 58,300 nodes (58,300 at peak, 59,529 added, 1,229 deleted).
% 18.44/18.68 ; Trie-index has 87,344 entries (87,344 at peak, 88,091 added, 747 deleted).
% 18.44/18.68 ; Trie-index has 390,604 nodes (390,604 at peak, 393,452 added, 2,848 deleted).
% 18.44/18.68 ; Retrieved 161,776 generalization terms in 399,763 calls.
% 18.44/18.68 ; Retrieved 33,661 instance terms in 33,113 calls.
% 18.44/18.68 ; Retrieved 8,668,236 unifiable terms in 36,570 calls.
% 18.44/18.68 ;
% 18.44/18.68 ; The agenda of rows to process has 287 entries:
% 18.44/18.68 ; 209 with value 31 1 with value 37 5 with value 42
% 18.44/18.68 ; 28 with value 32 14 with value 38 3 with value 43
% 18.44/18.68 ; 7 with value 33 10 with value 39 1 with value 44
% 18.44/18.68 ; 4 with value 35 1 with value 40 1 with value 46
% 18.44/18.68 ; 2 with value 36 1 with value 41
% 18.44/18.68 ; The agenda of rows to give has 38512 entries:
% 18.44/18.68 ; 1 with value (4 13) 181 with value (4 42) 3 with value (4 70)
% 18.44/18.68 ; 1 with value (4 15) 169 with value (4 43) 7 with value (4 71)
% 18.44/18.68 ; 89 with value (4 16) 181 with value (4 44) 2 with value (4 72)
% 18.44/18.68 ; 130 with value (4 17) 100 with value (4 45) 6 with value (4 73)
% 18.44/18.68 ; 468 with value (4 18) 38 with value (4 46) 2 with value (4 74)
% 18.44/18.68 ; 411 with value (4 19) 39 with value (4 47) 1 with value (4 76)
% 18.44/18.68 ; 404 with value (4 20) 23 with value (4 48) 4 with value (4 77)
% 18.44/18.68 ; 734 with value (4 21) 28 with value (4 49) 1 with value (4 78)
% 18.44/18.68 ; 826 with value (4 22) 25 with value (4 50) 1 with value (4 79)
% 18.44/18.68 ; 1159 with value (4 23) 24 with value (4 51) 7 with value (4 80)
% 18.44/18.68 ; 2543 with value (4 24) 13 with value (4 52) 4 with value (4 81)
% 18.44/18.68 ; 2764 with value (4 25) 28 with value (4 53) 2 with value (4 82)
% 18.44/18.68 ; 5271 with value (4 26) 18 with value (4 54) 1 with value (4 83)
% 18.44/18.68 ; 5529 with value (4 27) 11 with value (4 55) 1 with value (4 84)
% 18.44/18.68 ; 4732 with value (4 28) 15 with value (4 56) 1 with value (4 85)
% 18.44/18.68 ; 3439 with value (4 29) 37 with value (4 57) 1 with value (4 86)
% 18.44/18.68 ; 2704 with value (4 30) 14 with value (4 58) 1 with value (4 87)
% 18.44/18.68 ; 1096 with value (4 31) 13 with value (4 59) 1 with value (4 89)
% 18.44/18.68 ; 519 with value (4 32) 14 with value (4 60) 2 with value (4 90)
% 18.44/18.68 ; 384 with value (4 33) 19 with value (4 61) 1 with value (4 92)
% 18.44/18.68 ; 367 with value (4 34) 9 with value (4 62) 1 with value (4 93)
% 18.44/18.68 ; 503 with value (4 35) 3 with value (4 63) 2 with value (4 95)
% 18.44/18.68 ; 867 with value (4 36) 9 with value (4 64) 1 with value (4 96)
% 18.44/18.68 ; 827 with value (4 37) 3 with value (4 65) 2 with value (4 98)
% 18.44/18.68 ; 461 with value (4 38) 3 with value (4 66) 2 with value (4 103)
% 18.44/18.68 ; 373 with value (4 39) 3 with value (4 67) 1 with value (4 111)
% 18.44/18.68 ; 415 with value (4 40) 4 with value (4 68) 2 with value (4 141)
% 18.44/18.68 ; 406 with value (4 41) 4 with value (4 69) 1 with value (4 162)
% 18.44/18.68 Evaluation took:
% 18.44/18.68 18.3 seconds of real time
% 18.44/18.68 17.178907 seconds of user run time
% 18.44/18.68 1.105161 seconds of system run time
% 18.44/18.68 [Run times include 4.53 seconds GC run time.]
% 18.44/18.68 0 calls to %EVAL
% 18.44/18.68 0 page faults and
% 18.44/18.68 1,135,688,896 bytes consed.
% 18.44/18.68 :PROOF-FOUND
% 18.44/18.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T09:21:06
% 18.44/18.68 :PROOF-FOUND
% 18.44/18.68 *
%------------------------------------------------------------------------------