%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 00:35:13 EDT 2022
% Result : Theorem 2.45s 2.60s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 10 equ)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 112 ( 112 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 13 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(5,negated_conjecture,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture2) ).
tff(6,axiom,
! [X: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).
tff(8,axiom,
'register$a'('f$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(9,axiom,
! [X: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'('f$',X)),'image$'('g$','top$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(10,axiom,
'inj_on$'('g$','top$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(12,axiom,
! [X: 'B_ell2_b_ell2_cblinfun$'] : 'member$b'(X,'top$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom10) ).
tff(114,axiom,
! [X: 'C_ell2_c_ell2_cblinfun$',Y: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',Z: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'fun_app$a'('member$'(X),'image$'(Y,Z))
| ( 'fun_app$c'(Y,'fun_app$d'('inv_into$'(Z,Y),X)) = X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom106) ).
tff(235,axiom,
! [X: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',Y: 'A_ell2_a_ell2_cblinfun$',Z: 'A_ell2_a_ell2_cblinfun$'] :
( ~ 'register$a'(X)
| ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X,Y)),'fun_app$e'(X,Z)) = 'fun_app$e'(X,'fun_app$f'('cblinfun_compose$'(Y),Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom230) ).
tff(244,axiom,
! [X: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',Y: 'B_ell2_b_ell2_cblinfun_set$',Z: 'B_ell2_b_ell2_cblinfun$',U: 'B_ell2_b_ell2_cblinfun$'] :
( ~ 'inj_on$'(X,Y)
| ~ 'member$b'(Z,Y)
| ~ 'member$b'(U,Y)
| ( 'fun_app$c'(X,Z) = 'fun_app$c'(X,U) )
| ( Z != U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom241) ).
tff(408,axiom,
! [X: 'B_ell2_b_ell2_cblinfun_set$'] : 'less_eq$a'(X,'top$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom362) ).
tff(454,axiom,
! [X: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',Y: 'B_ell2_b_ell2_cblinfun_set$',Z: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'inj_on$'(X,Y)
| ~ 'less_eq$a'(Z,Y)
| 'inj_on$'(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom388) ).
tff(888,plain,
'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$h'('j$','a$'))),'fun_app$c'('g$','fun_app$h'('j$','b$'))),
inference('REWRITE',[status(thm)],[5,6,theory(equality)]) ).
tff(945,plain,
! [X: 'B_ell2_b_ell2_cblinfun_set$'] : 'inj_on$'('g$',X),
inference('HYPERRESOLVE',[status(thm)],[454,10,408]) ).
tff(1531,plain,
! [X: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X))) = 'fun_app$e'('f$',X) ),
inference('HYPERRESOLVE',[status(thm)],[114,9]) ).
tff(1598,plain,
! [X: 'A_ell2_a_ell2_cblinfun$',Y: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$',X)),'fun_app$e'('f$',Y)) = 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'(X),Y)) ),
inference('HYPERRESOLVE',[status(thm)],[235,8]) ).
tff(2542,plain,
! [X: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$c'('g$','fun_app$h'('j$',X)) = 'fun_app$e'('f$',X) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[244,945,12,12,6]),1531,theory(equality)]) ).
cnf(2543,plain,
$false,
inference('REWRITE',[status(thm)],[888,1598,2542,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 19:06:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T19:06:02
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-02T19:06:02
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$f| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |bijection$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$h| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$m| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |bijection$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$g| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |clinear$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$q| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$d| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |clinear$g| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |bijection$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$c| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |clinear$f| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$p| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |clinear$d| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$l| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |register$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |bijection$c| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |cdependent$b| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$g| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |cdependent$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$i| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$u| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.73 WARNING:
% 0.55/0.73 |inj_on$t| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 2.45/2.60
% 2.45/2.60
% 2.45/2.60 #||
% 2.45/2.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.45/2.60 % SZS output start Refutation
% See solution above
% 2.45/2.60 ||#
% 2.45/2.60
% 2.45/2.60 ; Summary of computation:
% 2.45/2.60 ; 9506 formulas have been input or derived (from 744 formulas).
% 2.45/2.60 ; 2543 (27%) were retained. Of these,
% 2.45/2.60 ; 179 ( 7%) were simplified or subsumed later,
% 2.45/2.60 ; 2364 (93%) are still being kept.
% 2.45/2.60 ;
% 2.45/2.60 ; Run time in seconds excluding printing time:
% 2.45/2.60 ; 0.183 9% Read assertion file (1 call)
% 2.45/2.60 ; 0.027 1% Assert (639 calls)
% 2.45/2.60 ; 0.209 10% Process new row (7,258 calls)
% 2.45/2.60 ; 0.428 20% Resolution (1,486 calls)
% 2.45/2.60 ; 0.029 1% Paramodulation (743 calls)
% 2.45/2.60 ; 0.000 0% Factoring (49 calls)
% 2.45/2.60 ; 0.112 5% Condensing (4,445 calls)
% 2.45/2.60 ; 0.378 18% Forward subsumption (4,445 calls)
% 2.45/2.61 ; 0.077 4% Backward subsumption (2,206 calls)
% 2.45/2.61 ; 0.234 11% Clause clause subsumption (15,611 calls)
% 2.45/2.61 ; 0.277 13% Forward simplification (7,100 calls)
% 2.45/2.61 ; 0.009 0% Backward simplification (2,427 calls)
% 2.45/2.61 ; 0.033 2% Ordering (15,522 calls)
% 2.45/2.61 ; 0.003 0% Ordering ac (326 calls)
% 2.45/2.61 ; 0.032 2% Sortal reasoning (66,416 calls)
% 2.45/2.61 ; 0.010 0% Purity testing (1 call)
% 2.45/2.61 ; 0.063 3% Other
% 2.45/2.61 ; 2.104 Total
% 2.45/2.61 ; 2.107 Real time
% 2.45/2.61 ;
% 2.45/2.61 ; Term-hash-array has 5,131 terms in all.
% 2.45/2.61 ; Feature-vector-row-index has 2,150 entries (2,167 at peak, 2,206 added, 56 deleted).
% 2.45/2.61 ; Feature-vector-row-index has 14,070 nodes (14,302 at peak, 14,504 added, 434 deleted).
% 2.45/2.61 ; Retrieved 31,156 possibly forward subsuming rows in 4,445 calls.
% 2.45/2.61 ; Retrieved 728 possibly backward subsumed rows in 2,206 calls.
% 2.45/2.61 ; Path-index has 5,125 entries (5,142 at peak, 5,212 added, 87 deleted).
% 2.45/2.61 ; Path-index has 16,018 nodes (16,041 at peak, 16,144 added, 126 deleted).
% 2.45/2.61 ; Trie-index has 5,125 entries (5,142 at peak, 5,212 added, 87 deleted).
% 2.45/2.61 ; Trie-index has 16,005 nodes (16,059 at peak, 16,278 added, 273 deleted).
% 2.45/2.61 ; Retrieved 14,756 generalization terms in 65,045 calls.
% 2.45/2.61 ; Retrieved 351 instance terms in 266 calls.
% 2.45/2.61 ; Retrieved 452,875 unifiable terms in 10,186 calls.
% 2.45/2.61 ;
% 2.45/2.61 ; The agenda of rows to process has 88 entries:
% 2.45/2.61 ; 4 with value 21 10 with value 27 3 with value 33
% 2.45/2.61 ; 9 with value 22 4 with value 28 4 with value 35
% 2.45/2.61 ; 20 with value 23 13 with value 30 2 with value 36
% 2.45/2.61 ; 3 with value 25 6 with value 31 2 with value 37
% 2.45/2.61 ; 3 with value 26 3 with value 32 2 with value 38
% 2.45/2.61 ; The agenda of rows to give has 1628 entries:
% 2.45/2.61 ; 1 with value (4 5) 49 with value (4 32) 5 with value (4 58)
% 2.45/2.61 ; 1 with value (4 6) 20 with value (4 33) 3 with value (4 59)
% 2.45/2.61 ; 10 with value (4 7) 29 with value (4 34) 2 with value (4 60)
% 2.45/2.61 ; 8 with value (4 8) 60 with value (4 35) 5 with value (4 61)
% 2.45/2.61 ; 5 with value (4 9) 65 with value (4 36) 7 with value (4 62)
% 2.45/2.61 ; 8 with value (4 10) 56 with value (4 37) 2 with value (4 63)
% 2.45/2.61 ; 7 with value (4 11) 13 with value (4 38) 3 with value (4 64)
% 2.45/2.61 ; 22 with value (4 12) 26 with value (4 39) 2 with value (4 65)
% 2.45/2.61 ; 32 with value (4 13) 10 with value (4 40) 1 with value (4 66)
% 2.45/2.61 ; 14 with value (4 14) 24 with value (4 41) 20 with value (4 67)
% 2.45/2.61 ; 26 with value (4 15) 18 with value (4 42) 8 with value (4 68)
% 2.45/2.61 ; 29 with value (4 16) 22 with value (4 43) 8 with value (4 69)
% 2.45/2.61 ; 39 with value (4 17) 59 with value (4 44) 4 with value (4 70)
% 2.45/2.61 ; 28 with value (4 18) 24 with value (4 45) 6 with value (4 71)
% 2.45/2.61 ; 52 with value (4 19) 17 with value (4 46) 7 with value (4 72)
% 2.45/2.61 ; 38 with value (4 20) 17 with value (4 47) 22 with value (4 73)
% 2.45/2.61 ; 32 with value (4 21) 8 with value (4 48) 12 with value (4 74)
% 2.45/2.61 ; 22 with value (4 22) 12 with value (4 49) 11 with value (4 75)
% 2.45/2.61 ; 25 with value (4 23) 26 with value (4 50) 10 with value (4 76)
% 2.45/2.61 ; 41 with value (4 24) 34 with value (4 51) 9 with value (4 77)
% 2.45/2.61 ; 40 with value (4 25) 9 with value (4 52) 4 with value (4 78)
% 2.45/2.61 ; 67 with value (4 26) 1 with value (4 53) 10 with value (4 79)
% 2.45/2.61 ; 69 with value (4 27) 2 with value (4 54) 20 with value (4 80)
% 2.45/2.61 ; 61 with value (4 28) 3 with value (4 55) 6 with value (4 83)
% 2.45/2.61 ; 45 with value (4 29) 5 with value (4 56) 4 with value (4 84)
% 2.45/2.61 ; 38 with value (4 30) 17 with value (4 57) 4 with value (4 86)
% 2.45/2.61 ; 47 with value (4 31)
% 2.45/2.61 Evaluation took:
% 2.45/2.61 2.108 seconds of real time
% 2.45/2.61 1.902094 seconds of user run time
% 2.45/2.61 0.205902 seconds of system run time
% 2.45/2.61 [Run times include 0.156 seconds GC run time.]
% 2.45/2.61 0 calls to %EVAL
% 2.45/2.61 0 page faults and
% 2.45/2.61 188,590,952 bytes consed.
% 2.45/2.61 :PROOF-FOUND
% 2.45/2.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T19:06:04
% 2.45/2.61 :PROOF-FOUND
% 2.45/2.61 *
%------------------------------------------------------------------------------