TSTP Solution File: ITP018_2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP018_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 00:33:25 EDT 2022
% Result : Theorem 0.50s 0.71s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 164 ( 8 equ)
% Maximal formula atoms : 3 ( 9 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 143 ( 143 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $i,Y: del,Z: del,U: $i] :
( ~ mem(X,arr(Y,Z))
| ~ mem(U,Y)
| mem(ap(X,U),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001_2.ax',ap_tp) ).
tff(10,axiom,
! [X: $i] :
( ~ mem(X,ty_2Erealax_2Ereal)
| ( X = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_ty_2Erealax_2Ereal) ).
tff(14,axiom,
! [X: del,Y: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X,Y)),ty_2Ebinary__ieee_2Efloat(X,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
tff(15,axiom,
! [X: del,Y: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X,Y),arr(ty_2Ebinary__ieee_2Efloat(X,Y),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
tff(16,axiom,
! [X: del] : mem(c_2Ebool_2Ethe__value(X),ty_2Ebool_2Eitself(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
tff(17,axiom,
! [X: del,Y: del] : mem(c_2Ebinary__ieee_2Eulp(X,Y),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X,Y)),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Eulp) ).
tff(31,axiom,
! [X: $i,Y: del,Z: del] :
( ~ mem(X,ty_2Ebinary__ieee_2Efloat(Y,Z))
| ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(Y,Z),ap(c_2Ebinary__ieee_2Efloat__negate(Y,Z),X))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(Y,Z),X))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(32,axiom,
! [X: del,Y: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
tff(33,negated_conjecture,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp('SKOLEMAAAV3.del','SKOLEMAAAV4.del'),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod('SKOLEMAAAV3.del','SKOLEMAAAV4.del'))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real('SKOLEMAAAV3.del','SKOLEMAAAV4.del'),ap(c_2Ebinary__ieee_2Efloat__negate('SKOLEMAAAV3.del','SKOLEMAAAV4.del'),ap(c_2Ebinary__ieee_2Efloat__plus__min('SKOLEMAAAV3.del','SKOLEMAAAV4.del'),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod('SKOLEMAAAV3.del','SKOLEMAAAV4.del')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(61,plain,
! [X: del,Y: del] : mem(ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))),ty_2Erealax_2Ereal),
inference('HYPERRESOLVE',[status(thm)],[1,17,16]) ).
tff(63,plain,
! [X: del,Y: del] : mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))),ty_2Ebinary__ieee_2Efloat(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[1,14,16]) ).
tff(125,plain,
! [X: del,Y: del] : ( ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))))) ),
inference('HYPERRESOLVE',[status(thm)],[10,61]) ).
tff(227,plain,
! [X: del,Y: del] : mem(ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))),ty_2Erealax_2Ereal),
inference('HYPERRESOLVE',[status(thm)],[1,63,15]) ).
tff(233,plain,
! [X: del,Y: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__negate(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))))) ),
inference('HYPERRESOLVE',[status(thm)],[31,63]) ).
tff(348,plain,
! [X: del,Y: del] : ( ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))) = ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,227]),125,32,theory(equality)]) ).
tff(349,plain,
! [X: del,Y: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X,Y),ap(c_2Ebinary__ieee_2Efloat__negate(X,Y),ap(c_2Ebinary__ieee_2Efloat__plus__min(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y)))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X,Y),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X,Y))))) ),
inference('REWRITE',[status(thm)],[233,348,theory(equality)]) ).
cnf(350,plain,
$false,
inference('REWRITE',[status(thm)],[33,349,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP018_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Thu Jun 2 16:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-02T16:38:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-02T16:38:08
% 0.50/0.71
% 0.50/0.71
% 0.50/0.71 #||
% 0.50/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.71 % SZS output start Refutation
% See solution above
% 0.50/0.71 ||#
% 0.50/0.71
% 0.50/0.71 ; Summary of computation:
% 0.50/0.71 ; 1038 formulas have been input or derived (from 101 formulas).
% 0.50/0.71 ; 350 (34%) were retained. Of these,
% 0.50/0.71 ; 17 ( 5%) were simplified or subsumed later,
% 0.50/0.71 ; 333 (95%) are still being kept.
% 0.50/0.71 ;
% 0.50/0.71 ; Run time in seconds excluding printing time:
% 0.50/0.71 ; 0.011 5% Read assertion file (1 call)
% 0.50/0.71 ; 0.002 1% Assert (30 calls)
% 0.50/0.71 ; 0.046 19% Process new row (828 calls)
% 0.50/0.71 ; 0.095 40% Resolution (200 calls)
% 0.50/0.71 ; 0.006 2% Paramodulation (100 calls)
% 0.50/0.71 ; 0.000 0% Factoring (2 calls)
% 0.50/0.71 ; 0.004 2% Condensing (191 calls)
% 0.50/0.71 ; 0.026 11% Forward subsumption (191 calls)
% 0.50/0.71 ; 0.003 1% Backward subsumption (115 calls)
% 0.50/0.71 ; 0.000 0% Clause clause subsumption (96 calls)
% 0.50/0.71 ; 0.011 5% Forward simplification (726 calls)
% 0.50/0.71 ; 0.004 2% Backward simplification (350 calls)
% 0.50/0.71 ; 0.003 1% Ordering (583 calls)
% 0.50/0.71 ; 0.001 0% Sortal reasoning (1,195 calls)
% 0.50/0.71 ; 0.000 0% Purity testing (1 call)
% 0.50/0.71 ; 0.028 12% Other
% 0.50/0.71 ; 0.240 Total
% 0.50/0.71 ; 0.243 Real time
% 0.50/0.71 ;
% 0.50/0.71 ; Term-hash-array has 828 terms in all.
% 0.50/0.71 ; Feature-vector-row-index has 115 entries (115 at peak, 115 added, 0 deleted).
% 0.50/0.71 ; Feature-vector-row-index has 1,523 nodes (1,523 at peak, 1,523 added, 0 deleted).
% 0.50/0.71 ; Retrieved 104 possibly forward subsuming rows in 191 calls.
% 0.50/0.71 ; Retrieved 6 possibly backward subsumed rows in 115 calls.
% 0.50/0.71 ; Path-index has 795 entries (826 at peak, 839 added, 44 deleted).
% 0.50/0.71 ; Path-index has 2,580 nodes (2,654 at peak, 2,684 added, 104 deleted).
% 0.50/0.71 ; Trie-index has 795 entries (826 at peak, 839 added, 44 deleted).
% 0.50/0.71 ; Trie-index has 4,751 nodes (5,027 at peak, 5,096 added, 345 deleted).
% 0.50/0.71 ; Retrieved 305 generalization terms in 3,024 calls.
% 0.50/0.71 ; Retrieved 238 instance terms in 234 calls.
% 0.50/0.71 ; Retrieved 55,431 unifiable terms in 7,988 calls.
% 0.50/0.71 ;
% 0.50/0.71 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.50/0.71 ; 3 with value 0
% 0.50/0.71 ; The agenda of rows to process has 6 entries:
% 0.50/0.71 ; 2 with value 37 4 with value 39
% 0.50/0.71 ; The agenda of rows to give has 243 entries:
% 0.50/0.71 ; 22 with value (4 22) 7 with value (4 35) 2 with value (4 49)
% 0.50/0.71 ; 20 with value (4 23) 6 with value (4 36) 10 with value (4 50)
% 0.50/0.71 ; 14 with value (4 24) 4 with value (4 37) 4 with value (4 54)
% 0.50/0.71 ; 5 with value (4 25) 2 with value (4 38) 8 with value (4 56)
% 0.50/0.71 ; 16 with value (4 26) 1 with value (4 39) 8 with value (4 58)
% 0.50/0.71 ; 12 with value (4 27) 1 with value (4 42) 1 with value (4 59)
% 0.50/0.71 ; 19 with value (4 28) 3 with value (4 43) 4 with value (4 60)
% 0.50/0.71 ; 9 with value (4 29) 1 with value (4 44) 1 with value (4 61)
% 0.50/0.71 ; 9 with value (4 30) 2 with value (4 45) 1 with value (4 63)
% 0.50/0.71 ; 3 with value (4 31) 9 with value (4 46) 1 with value (4 65)
% 0.50/0.71 ; 4 with value (4 32) 2 with value (4 47) 1 with value (4 67)
% 0.50/0.71 ; 7 with value (4 33) 16 with value (4 48) 1 with value (4 69)
% 0.50/0.71 ; 7 with value (4 34)
% 0.50/0.71 Evaluation took:
% 0.50/0.71 0.243 seconds of real time
% 0.50/0.71 0.229015 seconds of user run time
% 0.50/0.71 0.014006 seconds of system run time
% 0.50/0.71 [Run times include 0.009 seconds GC run time.]
% 0.50/0.71 0 calls to %EVAL
% 0.50/0.71 0 page faults and
% 0.50/0.71 17,763,568 bytes consed.
% 0.50/0.71 :PROOF-FOUND
% 0.50/0.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T16:38:08
% 0.50/0.71 :PROOF-FOUND
% 0.50/0.71 *
%------------------------------------------------------------------------------