TSTP Solution File: ITP012_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP012_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 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 : Sun Jul 17 00:33:15 EDT 2022
% Result : Theorem 0.40s 0.59s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 13 equ)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 87 ( 87 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(4,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
tff(56,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__add_2E2(X,Y) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__add_2E2) ).
tff(57,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides_2E2(X,Y) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__divides_2E2) ).
tff(59,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X,Y) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__sub_2E2) ).
tff(69,axiom,
! [X: mono_2Etyop_2Emin_2Ebool] :
( ( X = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(78,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X,Y) = mono_2Ec_2Einteger_2Eint__add_2E2(X,mono_2Ec_2Einteger_2Eint__neg_2E1(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
tff(79,plain,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X),Y) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X),mono_2Ec_2Einteger_2Eint__neg_2E1(Y)) ),
inference('REWRITE',[status(thm)],[78,56,59,theory(equality)]) ).
tff(80,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint,Z: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X,Y))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X,mono_2Ec_2Einteger_2Eint__add_2E2(Z,Y)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(81,plain,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint,Z: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),Y))
| ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,Z),Y)) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),Z) ) ),
inference('REWRITE',[status(thm)],[80,56,57,theory(equality)]) ).
tff(82,axiom,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides_2E2(X,mono_2Ec_2Einteger_2Eint__neg_2E1(Y)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(83,plain,
! [X: mono_2Etyop_2Einteger_2Eint,Y: mono_2Etyop_2Einteger_2Eint] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),mono_2Ec_2Einteger_2Eint__neg_2E1(Y)) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X),Y) ),
inference('REWRITE',[status(thm)],[82,57,theory(equality)]) ).
tff(93,negated_conjecture,
p(mono_2Ec_2Einteger_2Eint__divides_2E2('SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint','SKOLEMAAAN10.mono_2Etyop_2Einteger_2Eint')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(94,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,'SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint'),'SKOLEMAAAN10.mono_2Etyop_2Einteger_2Eint')),
inference('REWRITE',[status(thm)],[93,57,theory(equality)]) ).
tff(95,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2('SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint',mono_2Ec_2Einteger_2Eint__sub_2E2('SKOLEMAAAN11.mono_2Etyop_2Einteger_2Eint','SKOLEMAAAN10.mono_2Etyop_2Einteger_2Eint')) != mono_2Ec_2Einteger_2Eint__divides_2E2('SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint','SKOLEMAAAN11.mono_2Etyop_2Einteger_2Eint'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(96,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,'SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint'),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,'SKOLEMAAAN11.mono_2Etyop_2Einteger_2Eint'),mono_2Ec_2Einteger_2Eint__neg_2E1('SKOLEMAAAN10.mono_2Etyop_2Einteger_2Eint'))) != mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,'SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint'),'SKOLEMAAAN11.mono_2Etyop_2Einteger_2Eint'),
inference('REWRITE',[status(thm)],[95,57,79,59,theory(equality)]) ).
tff(137,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,'SKOLEMAAAN9.mono_2Etyop_2Einteger_2Eint'),'SKOLEMAAAN10.mono_2Etyop_2Einteger_2Eint') = mono_2Ec_2Ebool_2ET_2E0,
inference('HYPERRESOLVE',[status(thm)],[69,94]) ).
cnf(372,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[81,96]),4,137,83,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP012_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 08:09:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T08:09:25
% 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 2022-06-03T08:09:25
% 0.40/0.59
% 0.40/0.59
% 0.40/0.59 #||
% 0.40/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59 % SZS output start Refutation
% See solution above
% 0.40/0.60 ||#
% 0.40/0.60
% 0.40/0.60 ; Summary of computation:
% 0.40/0.60 ; 832 formulas have been input or derived (from 62 formulas).
% 0.40/0.60 ; 372 (45%) were retained. Of these,
% 0.40/0.60 ; 15 ( 4%) were simplified or subsumed later,
% 0.40/0.60 ; 357 (96%) are still being kept.
% 0.40/0.60 ;
% 0.40/0.60 ; Run time in seconds excluding printing time:
% 0.40/0.60 ; 0.016 14% Read assertion file (1 call)
% 0.40/0.60 ; 0.002 2% Assert (74 calls)
% 0.40/0.60 ; 0.019 17% Process new row (777 calls)
% 0.40/0.60 ; 0.012 11% Resolution (122 calls)
% 0.40/0.60 ; 0.002 2% Paramodulation (61 calls)
% 0.40/0.60 ; 0.000 0% Factoring (7 calls)
% 0.40/0.60 ; 0.009 8% Condensing (529 calls)
% 0.40/0.60 ; 0.014 12% Forward subsumption (529 calls)
% 0.40/0.60 ; 0.002 2% Backward subsumption (271 calls)
% 0.40/0.60 ; 0.009 8% Clause clause subsumption (848 calls)
% 0.40/0.60 ; 0.011 10% Forward simplification (765 calls)
% 0.40/0.60 ; 0.001 1% Backward simplification (360 calls)
% 0.40/0.60 ; 0.004 4% Ordering (1,646 calls)
% 0.40/0.60 ; 0.000 0% Sortal reasoning (403 calls)
% 0.40/0.60 ; 0.000 0% Purity testing (1 call)
% 0.40/0.60 ; 0.012 11% Other
% 0.40/0.60 ; 0.113 Total
% 0.40/0.60 ; 0.122 Real time
% 0.40/0.60 ;
% 0.40/0.60 ; Term-hash-array has 959 terms in all.
% 0.40/0.60 ; Feature-vector-row-index has 271 entries (271 at peak, 271 added, 0 deleted).
% 0.40/0.60 ; Feature-vector-row-index has 1,235 nodes (1,235 at peak, 1,235 added, 0 deleted).
% 0.40/0.60 ; Retrieved 1,144 possibly forward subsuming rows in 529 calls.
% 0.40/0.60 ; Retrieved 62 possibly backward subsumed rows in 271 calls.
% 0.40/0.60 ; Path-index has 977 entries (977 at peak, 980 added, 3 deleted).
% 0.40/0.60 ; Path-index has 3,308 nodes (3,308 at peak, 3,312 added, 4 deleted).
% 0.40/0.60 ; Trie-index has 977 entries (977 at peak, 980 added, 3 deleted).
% 0.40/0.60 ; Trie-index has 3,816 nodes (3,816 at peak, 3,820 added, 4 deleted).
% 0.40/0.60 ; Retrieved 433 generalization terms in 3,265 calls.
% 0.40/0.60 ; Retrieved 142 instance terms in 132 calls.
% 0.40/0.60 ; Retrieved 7,451 unifiable terms in 541 calls.
% 0.40/0.60 ;
% 0.40/0.60 ; The agenda of rows to process has 5 entries:
% 0.40/0.60 ; 2 with value 30 1 with value 31 2 with value 33
% 0.40/0.60 ; The agenda of input rows to give has 23 entries:
% 0.40/0.60 ; 3 with value 30 2 with value 37 2 with value 61
% 0.40/0.60 ; 3 with value 32 2 with value 40 2 with value 63
% 0.40/0.60 ; 3 with value 33 2 with value 41 1 with value 88
% 0.40/0.60 ; 2 with value 35 1 with value 50
% 0.40/0.60 ; The agenda of rows to give has 273 entries:
% 0.40/0.60 ; 1 with value (4 5) 17 with value (4 15) 4 with value (4 24)
% 0.40/0.60 ; 1 with value (4 6) 21 with value (4 16) 4 with value (4 25)
% 0.40/0.60 ; 11 with value (4 7) 26 with value (4 17) 3 with value (4 26)
% 0.40/0.60 ; 1 with value (4 8) 19 with value (4 18) 1 with value (4 27)
% 0.40/0.60 ; 10 with value (4 10) 14 with value (4 19) 3 with value (4 29)
% 0.40/0.60 ; 12 with value (4 11) 21 with value (4 20) 1 with value (4 30)
% 0.40/0.60 ; 9 with value (4 12) 17 with value (4 21) 6 with value (4 32)
% 0.40/0.60 ; 14 with value (4 13) 6 with value (4 22) 7 with value (4 33)
% 0.40/0.60 ; 27 with value (4 14) 13 with value (4 23) 4 with value (4 39)
% 0.40/0.60 Evaluation took:
% 0.40/0.60 0.123 seconds of real time
% 0.40/0.60 0.106061 seconds of user run time
% 0.40/0.60 0.01701 seconds of system run time
% 0.40/0.60 [Run times include 0.007 seconds GC run time.]
% 0.40/0.60 0 calls to %EVAL
% 0.40/0.60 0 page faults and
% 0.40/0.60 14,051,360 bytes consed.
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T08:09:25
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 *
%------------------------------------------------------------------------------