TSTP Solution File: SWW474_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW474_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 01:25:12 EDT 2022
% Result : Theorem 3.25s 3.48s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 168 ( 12 equ)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 136 ( 136 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 16 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X),bot_bo454148287e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
tff(5,axiom,
! [X: fun_Ho734851753e_bool,Y: fun_Ho734851753e_bool,Z: fun_Ho734851753e_bool] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X),Y))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(Z),X))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(Z),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
tff(122,axiom,
! [X: com] :
( ~ hBOOL(hoare_1310879719gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X),bot_bo454148287e_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).
tff(214,axiom,
! [X: hoare_1848483303_state,Y: fun_Ho734851753e_bool] : ( insert668001005_state(X,Y) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_insert__compr) ).
tff(314,axiom,
! [X: fun_Ho734851753e_bool] : ( collec1708318610_state(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_Collect__def) ).
tff(370,axiom,
! [X: hoare_1848483303_state] : ( collec1708318610_state(hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X)) = insert668001005_state(X,bot_bo454148287e_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_singleton__conv) ).
tff(371,plain,
! [X: hoare_1848483303_state] : ( hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X) = insert668001005_state(X,bot_bo454148287e_bool) ),
inference('REWRITE',[status(thm)],[370,314,theory(equality)]) ).
tff(378,axiom,
! [X: hoare_1848483303_state] : ( collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X)) = insert668001005_state(X,bot_bo454148287e_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).
tff(379,plain,
! [X: hoare_1848483303_state] : ( hAPP_H1618070847e_bool(fequal364418600_state,X) = hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X) ),
inference('REWRITE',[status(thm)],[378,371,314,theory(equality)]) ).
tff(386,axiom,
! [X: pname,Y: com] :
( ~ hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X) != some_com(Y) )
| hBOOL(wt(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
tff(488,hypothesis,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(489,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(493,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
tff(495,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
tff(496,plain,
! [X: pname,Y: com] :
( ( hAPP_p799580910on_com(body,X) != some_com(Y) )
| hBOOL(wt(Y)) ),
inference('REWRITE',[status(thm)],[386,489]) ).
tff(511,plain,
! [X: hoare_1848483303_state] : ( hAPP_H1618070847e_bool(fequal364418600_state,X) = insert668001005_state(X,bot_bo454148287e_bool) ),
inference('REWRITE',[status(thm)],[371,379,theory(equality)]) ).
tff(514,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))),
inference('REWRITE',[status(thm)],[495,511,theory(equality)]) ).
tff(552,plain,
! [X: hoare_1848483303_state,Y: fun_Ho734851753e_bool] : ( insert668001005_state(X,Y) = cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(fequal364418600_state,X)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),Y)) ),
inference('REWRITE',[status(thm)],[214,379,314,theory(equality)]) ).
tff(562,plain,
! [X: hoare_1848483303_state] : ( hAPP_H1618070847e_bool(fequal364418600_state,X) = cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(fequal364418600_state,X)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool)) ),
inference('REWRITE',[status(thm)],[511,552,theory(equality)]) ).
tff(649,plain,
! [X: com] :
( ~ hBOOL(wt(X))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,X)))) ),
inference('REWRITE',[status(thm)],[122,314,562,379,489,488,214,theory(equality)]) ).
tff(852,plain,
hBOOL(wt(y)),
inference('HYPERRESOLVE',[status(thm)],[496,493]) ).
tff(4413,plain,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))),
inference('UR-RESOLVE',[status(thm)],[5,1,514]) ).
cnf(5629,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[649,852]),4413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW474_1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 : Sun Jun 5 10:43:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T10:43:10
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-05T10:43:10
% 3.25/3.48
% 3.25/3.48
% 3.25/3.48 #||
% 3.25/3.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.25/3.48 % SZS output start Refutation
% See solution above
% 3.25/3.48 ||#
% 3.25/3.48
% 3.25/3.48 ; Summary of computation:
% 3.25/3.48 ; 11314 formulas have been input or derived (from 430 formulas).
% 3.25/3.48 ; 5629 (50%) were retained. Of these,
% 3.25/3.48 ; 303 ( 5%) were simplified or subsumed later,
% 3.25/3.48 ; 5326 (95%) are still being kept.
% 3.25/3.48 ;
% 3.25/3.48 ; Run time in seconds excluding printing time:
% 3.25/3.48 ; 0.111 4% Read assertion file (1 call)
% 3.25/3.48 ; 0.011 0% Assert (375 calls)
% 3.25/3.48 ; 0.676 23% Process new row (10,297 calls)
% 3.25/3.48 ; 0.430 14% Resolution (858 calls)
% 3.25/3.48 ; 0.043 1% Paramodulation (429 calls)
% 3.25/3.48 ; 0.000 0% Factoring (40 calls)
% 3.25/3.48 ; 0.056 2% Condensing (4,541 calls)
% 3.25/3.48 ; 0.625 21% Forward subsumption (4,541 calls)
% 3.25/3.48 ; 0.242 8% Backward subsumption (3,968 calls)
% 3.25/3.48 ; 0.013 0% Clause clause subsumption (2,696 calls)
% 3.25/3.48 ; 0.387 13% Forward simplification (10,297 calls)
% 3.25/3.48 ; 0.120 4% Backward simplification (5,570 calls)
% 3.25/3.48 ; 0.189 6% Ordering (30,305 calls)
% 3.25/3.48 ; 0.029 1% Sortal reasoning (42,542 calls)
% 3.25/3.48 ; 0.000 0% Purity testing (1 call)
% 3.25/3.48 ; 0.068 2% Other
% 3.25/3.48 ; 3.000 Total
% 3.25/3.48 ; 3.002 Real time
% 3.25/3.48 ;
% 3.25/3.49 ; Term-hash-array has 14,778 terms in all.
% 3.25/3.49 ; Feature-vector-row-index has 3,770 entries (3,770 at peak, 3,968 added, 198 deleted).
% 3.25/3.49 ; Feature-vector-row-index has 59,305 nodes (59,305 at peak, 61,662 added, 2,357 deleted).
% 3.25/3.49 ; Retrieved 3,428 possibly forward subsuming rows in 4,541 calls.
% 3.25/3.49 ; Retrieved 300 possibly backward subsumed rows in 3,968 calls.
% 3.25/3.49 ; Path-index has 14,319 entries (14,319 at peak, 15,107 added, 788 deleted).
% 3.25/3.49 ; Path-index has 26,476 nodes (26,476 at peak, 27,493 added, 1,017 deleted).
% 3.25/3.49 ; Trie-index has 14,319 entries (14,319 at peak, 15,107 added, 788 deleted).
% 3.25/3.49 ; Trie-index has 56,549 nodes (56,549 at peak, 59,187 added, 2,638 deleted).
% 3.25/3.49 ; Retrieved 29,957 generalization terms in 75,006 calls.
% 3.25/3.49 ; Retrieved 2,402 instance terms in 1,754 calls.
% 3.25/3.49 ; Retrieved 396,161 unifiable terms in 7,832 calls.
% 3.25/3.49 ;
% 3.25/3.49 ; The agenda of rows to process has 150 entries:
% 3.25/3.49 ; 29 with value 15 4 with value 22 16 with value 28
% 3.25/3.49 ; 4 with value 16 10 with value 23 9 with value 29
% 3.25/3.49 ; 20 with value 17 10 with value 24 2 with value 30
% 3.25/3.49 ; 14 with value 18 4 with value 25 2 with value 31
% 3.25/3.49 ; 10 with value 20 1 with value 26 1 with value 39
% 3.25/3.49 ; 10 with value 21 4 with value 27
% 3.25/3.49 ; The agenda of rows to give has 4900 entries:
% 3.25/3.49 ; 6 with value (4 7) 110 with value (4 32) 12 with value (4 57)
% 3.25/3.49 ; 10 with value (4 8) 208 with value (4 33) 19 with value (4 58)
% 3.25/3.49 ; 5 with value (4 9) 106 with value (4 34) 3 with value (4 59)
% 3.25/3.49 ; 82 with value (4 10) 114 with value (4 35) 14 with value (4 60)
% 3.25/3.49 ; 4 with value (4 11) 113 with value (4 36) 8 with value (4 61)
% 3.25/3.49 ; 95 with value (4 12) 80 with value (4 37) 2 with value (4 62)
% 3.25/3.49 ; 74 with value (4 13) 88 with value (4 38) 15 with value (4 63)
% 3.25/3.49 ; 59 with value (4 14) 59 with value (4 39) 10 with value (4 65)
% 3.25/3.49 ; 131 with value (4 15) 31 with value (4 40) 15 with value (4 66)
% 3.25/3.49 ; 133 with value (4 16) 60 with value (4 41) 2 with value (4 67)
% 3.25/3.49 ; 97 with value (4 17) 52 with value (4 42) 8 with value (4 68)
% 3.25/3.49 ; 152 with value (4 18) 38 with value (4 43) 5 with value (4 70)
% 3.25/3.49 ; 111 with value (4 19) 28 with value (4 44) 6 with value (4 71)
% 3.25/3.49 ; 250 with value (4 20) 33 with value (4 45) 1 with value (4 72)
% 3.25/3.49 ; 138 with value (4 21) 16 with value (4 46) 2 with value (4 74)
% 3.25/3.49 ; 181 with value (4 22) 22 with value (4 47) 5 with value (4 75)
% 3.25/3.49 ; 221 with value (4 23) 24 with value (4 48) 1 with value (4 76)
% 3.25/3.49 ; 157 with value (4 24) 13 with value (4 49) 2 with value (4 78)
% 3.25/3.49 ; 260 with value (4 25) 24 with value (4 50) 1 with value (4 79)
% 3.25/3.49 ; 218 with value (4 26) 19 with value (4 51) 1 with value (4 80)
% 3.25/3.49 ; 184 with value (4 27) 9 with value (4 52) 2 with value (4 82)
% 3.25/3.49 ; 257 with value (4 28) 36 with value (4 53) 2 with value (4 84)
% 3.25/3.49 ; 200 with value (4 29) 13 with value (4 54) 2 with value (4 86)
% 3.25/3.49 ; 239 with value (4 30) 20 with value (4 55) 2 with value (4 87)
% 3.25/3.49 ; 172 with value (4 31) 6 with value (4 56) 2 with value (4 128)
% 3.25/3.49 Evaluation took:
% 3.25/3.49 3.009 seconds of real time
% 3.25/3.49 2.774926 seconds of user run time
% 3.25/3.49 0.234333 seconds of system run time
% 3.25/3.49 [Run times include 0.461 seconds GC run time.]
% 3.25/3.49 0 calls to %EVAL
% 3.25/3.49 0 page faults and
% 3.25/3.49 244,622,792 bytes consed.
% 3.25/3.49 :PROOF-FOUND
% 3.25/3.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T10:43:13
% 3.25/3.49 :PROOF-FOUND
% 3.25/3.49 *
%------------------------------------------------------------------------------