TSTP Solution File: ALG359-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG359-1 : TPTP v8.1.0. Released v4.1.0.
% 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 14 18:00:38 EDT 2022
% Result : Unsatisfiable 1.02s 1.21s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 13 unt; 1 nHn; 7 RR)
% Number of literals : 18 ( 11 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Re_Ozero_0,axiom,
c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Re_Ozero_0) ).
cnf(cls_complex__of__real__def_0,axiom,
c_RealVector_Oof__real(X,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
cnf(441,plain,
c_RealVector_Oof__real(X,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
inference('REWRITE',[status(thm)],[cls_complex__of__real__def_0,cls_Re_Ozero_0,theory(equality)]) ).
cnf(cls_odd__real__root__pow_0,axiom,
( c_Power_Opower__class_Opower(c_NthRoot_Oroot(X,Y),X,tc_RealDef_Oreal) = Y
| c_Parity_Oeven__odd__class_Oeven(X,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_odd__real__root__pow_0) ).
cnf(cls_complex__of__real__power_0,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X,Y,tc_RealDef_Oreal),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__power_0) ).
cnf(734,plain,
c_Power_Opower__class_Opower(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),Y,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Power_Opower__class_Opower(X,Y,tc_RealDef_Oreal),c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
inference('REWRITE',[status(thm)],[cls_complex__of__real__power_0,441,theory(equality)]) ).
cnf(cls_o_0,axiom,
~ c_Parity_Oeven__odd__class_Oeven(v_na____,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o_0) ).
cnf(cls_power__divide_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| ~ class_Ring__and__Field_Odivision__by__zero(X)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(Y,Z,X),U,X) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(Y,U,X),c_Power_Opower__class_Opower(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(797,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_Complex_Ocomplex_OComplex(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_conjecture_0,441,theory(equality)]) ).
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_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(1097,plain,
c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,X),v_na____,tc_RealDef_Oreal) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_o_0,cls_odd__real__root__pow_0]) ).
cnf(1871,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X,Z,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_power__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).
cnf(1872,plain,
$false,
inference('REWRITE',[status(thm)],[797,1097,734,1871,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG359-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 07:22:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:22:55
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-08T07:22:55
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.02/1.21
% 1.02/1.21
% 1.02/1.21 #||
% 1.02/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.21 % SZS output start Refutation
% See solution above
% 1.02/1.21 ||#
% 1.02/1.21
% 1.02/1.21 ; Summary of computation:
% 1.02/1.21 ; 4391 formulas have been input or derived (from 757 formulas).
% 1.02/1.21 ; 1872 (43%) were retained. Of these,
% 1.02/1.21 ; 114 ( 6%) were simplified or subsumed later,
% 1.02/1.21 ; 1758 (94%) are still being kept.
% 1.02/1.21 ;
% 1.02/1.21 ; Run time in seconds excluding printing time:
% 1.02/1.21 ; 0.182 24% Read assertion file (1 call)
% 1.02/1.21 ; 0.019 3% Assert (1,023 calls)
% 1.02/1.21 ; 0.133 18% Process new row (3,945 calls)
% 1.02/1.21 ; 0.104 14% Resolution (1,512 calls)
% 1.02/1.21 ; 0.031 4% Paramodulation (756 calls)
% 1.02/1.21 ; 0.000 0% Factoring (4 calls)
% 1.02/1.21 ; 0.019 3% Condensing (1,856 calls)
% 1.02/1.21 ; 0.051 7% Forward subsumption (1,856 calls)
% 1.02/1.21 ; 0.029 4% Backward subsumption (1,256 calls)
% 1.02/1.21 ; 0.020 3% Clause clause subsumption (3,897 calls)
% 1.02/1.21 ; 0.090 12% Forward simplification (3,941 calls)
% 1.02/1.21 ; 0.010 1% Backward simplification (1,848 calls)
% 1.02/1.21 ; 0.020 3% Ordering (5,210 calls)
% 1.02/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.02/1.21 ; 0.003 0% Purity testing (1 call)
% 1.02/1.21 ; 0.041 5% Other
% 1.02/1.21 ; 0.752 Total
% 1.02/1.21 ; 0.753 Real time
% 1.02/1.21 ;
% 1.02/1.21 ; Term-hash-array has 2,846 terms in all.
% 1.02/1.21 ; Feature-vector-row-index has 1,233 entries (1,233 at peak, 1,256 added, 23 deleted).
% 1.02/1.21 ; Feature-vector-row-index has 4,971 nodes (4,971 at peak, 5,087 added, 116 deleted).
% 1.02/1.21 ; Retrieved 4,529 possibly forward subsuming rows in 1,856 calls.
% 1.02/1.21 ; Retrieved 1,177 possibly backward subsumed rows in 1,256 calls.
% 1.02/1.21 ; Path-index has 2,662 entries (2,668 at peak, 2,866 added, 204 deleted).
% 1.02/1.21 ; Path-index has 6,073 nodes (6,098 at peak, 6,355 added, 282 deleted).
% 1.02/1.21 ; Trie-index has 2,662 entries (2,668 at peak, 2,866 added, 204 deleted).
% 1.02/1.21 ; Trie-index has 10,046 nodes (10,118 at peak, 11,130 added, 1,084 deleted).
% 1.02/1.21 ; Retrieved 9,734 generalization terms in 21,028 calls.
% 1.02/1.21 ; Retrieved 926 instance terms in 663 calls.
% 1.02/1.21 ; Retrieved 170,274 unifiable terms in 6,394 calls.
% 1.02/1.21 ;
% 1.02/1.21 ; The agenda of rows to process has 3 entries:
% 1.02/1.21 ; 3 with value 22
% 1.02/1.21 ; The agenda of input rows to give has 145 entries:
% 1.02/1.21 ; 1 with value 27 3 with value 34 3 with value 42
% 1.02/1.21 ; 7 with value 28 5 with value 35 1 with value 44
% 1.02/1.21 ; 11 with value 29 9 with value 36 1 with value 45
% 1.02/1.21 ; 35 with value 30 8 with value 37 2 with value 46
% 1.02/1.21 ; 5 with value 31 17 with value 38 1 with value 47
% 1.02/1.21 ; 4 with value 32 17 with value 39 1 with value 52
% 1.02/1.21 ; 5 with value 33 9 with value 40
% 1.02/1.21 ; The agenda of rows to give has 857 entries:
% 1.02/1.22 ; 5 with value (4 6) 20 with value (4 20) 10 with value (4 32)
% 1.02/1.22 ; 10 with value (4 8) 40 with value (4 21) 25 with value (4 33)
% 1.02/1.22 ; 12 with value (4 9) 31 with value (4 22) 4 with value (4 34)
% 1.02/1.22 ; 17 with value (4 10) 10 with value (4 23) 20 with value (4 35)
% 1.02/1.22 ; 39 with value (4 11) 32 with value (4 24) 25 with value (4 36)
% 1.02/1.22 ; 47 with value (4 12) 37 with value (4 25) 10 with value (4 37)
% 1.02/1.22 ; 27 with value (4 13) 39 with value (4 26) 18 with value (4 38)
% 1.02/1.22 ; 20 with value (4 14) 68 with value (4 27) 2 with value (4 40)
% 1.02/1.22 ; 35 with value (4 15) 37 with value (4 28) 3 with value (4 41)
% 1.02/1.22 ; 12 with value (4 16) 14 with value (4 29) 1 with value (4 42)
% 1.02/1.22 ; 46 with value (4 17) 20 with value (4 30) 1 with value (4 45)
% 1.02/1.22 ; 29 with value (4 18) 29 with value (4 31) 1 with value (4 47)
% 1.02/1.22 ; 61 with value (4 19)
% 1.02/1.22 Evaluation took:
% 1.02/1.22 0.754 seconds of real time
% 1.02/1.22 0.711671 seconds of user run time
% 1.02/1.22 0.04231 seconds of system run time
% 1.02/1.22 [Run times include 0.039 seconds GC run time.]
% 1.02/1.22 0 calls to %EVAL
% 1.02/1.22 0 page faults and
% 1.02/1.22 54,258,552 bytes consed.
% 1.02/1.22 :PROOF-FOUND
% 1.02/1.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:22:56
% 1.02/1.22 :PROOF-FOUND
% 1.02/1.22 *
%------------------------------------------------------------------------------