TSTP Solution File: SWV627-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV627-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 : Wed Jul 20 21:35:30 EDT 2022
% Result : Unsatisfiable 0.51s 0.75s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 15 unt; 0 nHn; 10 RR)
% Number of literals : 28 ( 15 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inverse__1_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(X)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X),X) = c_HOL_Oone__class_Oone(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__1_0) ).
cnf(cls_power__inverse_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(X)
| ~ class_Ring__and__Field_Odivision__by__zero(X)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(Y,Z,X),X) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(Y,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__inverse_0) ).
cnf(cls_inverse__eq__divide_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_HOL_Oinverse__class_Oinverse(Y,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X),Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(cls_power__one_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X),Y,X) = c_HOL_Oone__class_Oone(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one_0) ).
cnf(cls_root__unity_0,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X),X,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_HOL_Ominus__class_Ominus(Y,Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
cnf(cls_divide__zero__left_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(497,plain,
c_HOL_Ominus__class_Ominus(X,X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_eq__iff__diff__eq__0_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).
cnf(511,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_inverse__1_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring]) ).
cnf(541,plain,
c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_power__one_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).
cnf(543,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_divide__zero__left_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).
cnf(550,plain,
c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_inverse__eq__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).
cnf(551,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_conjecture_0,550,theory(equality)]) ).
cnf(621,plain,
c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_power__inverse_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).
cnf(622,plain,
$false,
inference('REWRITE',[status(thm)],[551,543,497,541,511,cls_root__unity_0,621,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV627-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n008.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 15 15:17:07 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-15T15:17:07
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-15T15:17:07
% 0.13/0.58 WARNING:
% 0.13/0.58 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.13/0.58 WARNING:
% 0.13/0.58 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.13/0.58 WARNING:
% 0.13/0.58 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.75
% 0.51/0.75
% 0.51/0.75 #||
% 0.51/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.75 % SZS output start Refutation
% See solution above
% 0.51/0.75 ||#
% 0.51/0.75
% 0.51/0.75 ; Summary of computation:
% 0.51/0.75 ; 1405 formulas have been input or derived (from 313 formulas).
% 0.51/0.75 ; 622 (44%) were retained. Of these,
% 0.51/0.75 ; 15 ( 2%) were simplified or subsumed later,
% 0.51/0.75 ; 607 (98%) are still being kept.
% 0.51/0.75 ;
% 0.51/0.75 ; Run time in seconds excluding printing time:
% 0.51/0.75 ; 0.155 42% Read assertion file (1 call)
% 0.51/0.75 ; 0.026 7% Assert (766 calls)
% 0.51/0.75 ; 0.055 15% Process new row (1,266 calls)
% 0.51/0.75 ; 0.029 8% Resolution (624 calls)
% 0.51/0.75 ; 0.001 0% Paramodulation (312 calls)
% 0.51/0.75 ; 0.000 0% Factoring (2 calls)
% 0.51/0.75 ; 0.020 5% Condensing (515 calls)
% 0.51/0.75 ; 0.010 3% Forward subsumption (515 calls)
% 0.51/0.75 ; 0.002 1% Backward subsumption (385 calls)
% 0.51/0.75 ; 0.004 1% Clause clause subsumption (540 calls)
% 0.51/0.75 ; 0.022 6% Forward simplification (1,050 calls)
% 0.51/0.75 ; 0.002 1% Backward simplification (622 calls)
% 0.51/0.75 ; 0.003 1% Ordering (473 calls)
% 0.51/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.75 ; 0.004 1% Purity testing (1 call)
% 0.51/0.75 ; 0.032 9% Other
% 0.51/0.75 ; 0.365 Total
% 0.51/0.75 ; 0.367 Real time
% 0.51/0.75 ;
% 0.51/0.75 ; Term-hash-array has 958 terms in all.
% 0.51/0.75 ; Feature-vector-row-index has 377 entries (377 at peak, 385 added, 8 deleted).
% 0.51/0.75 ; Feature-vector-row-index has 1,206 nodes (1,206 at peak, 1,241 added, 35 deleted).
% 0.51/0.75 ; Retrieved 464 possibly forward subsuming rows in 515 calls.
% 0.51/0.75 ; Retrieved 254 possibly backward subsumed rows in 385 calls.
% 0.51/0.75 ; Path-index has 918 entries (927 at peak, 967 added, 49 deleted).
% 0.51/0.75 ; Path-index has 2,164 nodes (2,209 at peak, 2,301 added, 137 deleted).
% 0.51/0.75 ; Trie-index has 918 entries (927 at peak, 967 added, 49 deleted).
% 0.51/0.75 ; Trie-index has 3,012 nodes (3,105 at peak, 3,373 added, 361 deleted).
% 0.51/0.75 ; Retrieved 644 generalization terms in 1,451 calls.
% 0.51/0.75 ; Retrieved 287 instance terms in 248 calls.
% 0.51/0.75 ; Retrieved 27,359 unifiable terms in 2,223 calls.
% 0.51/0.75 ;
% 0.51/0.75 ; The agenda of input rows to give has 143 entries:
% 0.51/0.75 ; 4 with value 22 8 with value 29 2 with value 37
% 0.51/0.75 ; 3 with value 23 4 with value 30 7 with value 39
% 0.51/0.75 ; 18 with value 24 4 with value 33 1 with value 42
% 0.51/0.75 ; 9 with value 25 5 with value 34 1 with value 45
% 0.51/0.75 ; 5 with value 26 4 with value 35 1 with value 46
% 0.51/0.75 ; 62 with value 27 2 with value 36 1 with value 52
% 0.51/0.75 ; 2 with value 28
% 0.51/0.75 ; The agenda of rows to give has 151 entries:
% 0.51/0.75 ; 1 with value (4 4) 29 with value (4 11) 12 with value (4 17)
% 0.51/0.75 ; 9 with value (4 6) 19 with value (4 12) 12 with value (4 19)
% 0.51/0.75 ; 13 with value (4 8) 12 with value (4 13) 2 with value (4 20)
% 0.51/0.75 ; 9 with value (4 9) 11 with value (4 15) 1 with value (4 23)
% 0.51/0.75 ; 13 with value (4 10) 7 with value (4 16) 1 with value (4 24)
% 0.51/0.75 Evaluation took:
% 0.51/0.75 0.367 seconds of real time
% 0.51/0.75 0.346948 seconds of user run time
% 0.51/0.75 0.020714 seconds of system run time
% 0.51/0.75 [Run times include 0.008 seconds GC run time.]
% 0.51/0.75 0 calls to %EVAL
% 0.51/0.75 0 page faults and
% 0.51/0.75 20,606,448 bytes consed.
% 0.51/0.75 :PROOF-FOUND
% 0.51/0.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T15:17:08
% 0.51/0.75 :PROOF-FOUND
% 0.51/0.75 *
%------------------------------------------------------------------------------