TSTP Solution File: SWV626-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV626-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 1.14s 1.35s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 9 RR)
% Number of literals : 20 ( 11 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X,Y,tc_nat) = c_HOL_Otimes__class_Otimes(Y,X,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
cnf(cls_power__mult_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X)
| c_Power_Opower__class_Opower(Y,c_HOL_Otimes__class_Otimes(Z,U,tc_nat),X) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(Y,Z,X),U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__mult_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_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_k,tc_Complex_Ocomplex),v_n,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_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),
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_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(1056,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(1058,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_k,tc_Complex_Ocomplex),v_n,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_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),
inference('REWRITE',[status(thm)],[cls_conjecture_0,1056,theory(equality)]) ).
cnf(1357,plain,
c_Power_Opower__class_Opower(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_power__mult_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).
cnf(1358,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_k,v_n,tc_nat),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_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_n,v_k,tc_nat),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),
inference('REWRITE',[status(thm)],[1058,1357,theory(equality)]) ).
cnf(1397,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(1398,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),c_HOL_Otimes__class_Otimes(v_k,v_n,tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),c_HOL_Otimes__class_Otimes(v_n,v_k,tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[1358,1397,theory(equality)]) ).
cnf(1894,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1398,cls_nat__mult__commute_0,theory(equality)]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV626-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 : Wed Jun 15 18:50:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T18:50:48
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-15T18:50:48
% 0.47/0.70 WARNING:
% 0.47/0.70 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.70 WARNING:
% 0.47/0.70 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.70 WARNING:
% 0.47/0.70 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.14/1.35
% 1.14/1.35
% 1.14/1.35 #||
% 1.14/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.14/1.35 % SZS output start Refutation
% See solution above
% 1.20/1.39 ||#
% 1.20/1.39
% 1.20/1.39 ; Summary of computation:
% 1.20/1.39 ; 4880 formulas have been input or derived (from 895 formulas).
% 1.20/1.39 ; 1894 (39%) were retained. Of these,
% 1.20/1.39 ; 72 ( 4%) were simplified or subsumed later,
% 1.20/1.39 ; 1822 (96%) are still being kept.
% 1.20/1.39 ;
% 1.20/1.39 ; Run time in seconds excluding printing time:
% 1.20/1.39 ; 0.174 20% Read assertion file (1 call)
% 1.20/1.39 ; 0.019 2% Assert (1,041 calls)
% 1.20/1.39 ; 0.148 17% Process new row (4,308 calls)
% 1.20/1.39 ; 0.160 18% Resolution (1,788 calls)
% 1.20/1.39 ; 0.045 5% Paramodulation (894 calls)
% 1.20/1.39 ; 0.000 0% Factoring (2 calls)
% 1.20/1.39 ; 0.030 3% Condensing (2,005 calls)
% 1.20/1.39 ; 0.059 7% Forward subsumption (2,005 calls)
% 1.20/1.39 ; 0.026 3% Backward subsumption (1,220 calls)
% 1.20/1.39 ; 0.014 2% Clause clause subsumption (4,470 calls)
% 1.20/1.39 ; 0.111 13% Forward simplification (4,298 calls)
% 1.20/1.39 ; 0.009 1% Backward simplification (1,894 calls)
% 1.20/1.39 ; 0.017 2% Ordering (7,003 calls)
% 1.20/1.39 ; 0.001 0% Sortal reasoning (32 calls)
% 1.20/1.39 ; 0.008 1% Purity testing (1 call)
% 1.20/1.39 ; 0.050 6% Other
% 1.20/1.39 ; 0.871 Total
% 1.20/1.39 ; 0.903 Real time
% 1.20/1.39 ;
% 1.20/1.39 ; Term-hash-array has 3,672 terms in all.
% 1.20/1.39 ; Feature-vector-row-index has 1,210 entries (1,210 at peak, 1,220 added, 10 deleted).
% 1.20/1.39 ; Feature-vector-row-index has 4,745 nodes (4,745 at peak, 4,796 added, 51 deleted).
% 1.20/1.39 ; Retrieved 8,181 possibly forward subsuming rows in 2,005 calls.
% 1.20/1.39 ; Retrieved 1,568 possibly backward subsumed rows in 1,220 calls.
% 1.20/1.39 ; Path-index has 3,498 entries (3,498 at peak, 3,713 added, 215 deleted).
% 1.20/1.39 ; Path-index has 7,167 nodes (7,167 at peak, 7,478 added, 311 deleted).
% 1.20/1.39 ; Trie-index has 3,498 entries (3,498 at peak, 3,713 added, 215 deleted).
% 1.20/1.39 ; Trie-index has 14,318 nodes (14,318 at peak, 15,641 added, 1,323 deleted).
% 1.20/1.39 ; Retrieved 11,638 generalization terms in 20,617 calls.
% 1.20/1.39 ; Retrieved 1,099 instance terms in 788 calls.
% 1.20/1.39 ; Retrieved 286,237 unifiable terms in 8,762 calls.
% 1.20/1.39 ;
% 1.20/1.39 ; The agenda of rows to process has 101 entries:
% 1.20/1.39 ; 1 with value 62 1 with value 71 24 with value 136
% 1.20/1.39 ; 1 with value 65 1 with value 76 12 with value 138
% 1.20/1.39 ; 20 with value 67 1 with value 78 12 with value 238
% 1.20/1.39 ; 28 with value 69
% 1.20/1.39 ; The agenda of rows to give has 927 entries:
% 1.20/1.39 ; 1 with value (4 4) 42 with value (4 22) 9 with value (4 38)
% 1.20/1.39 ; 9 with value (4 6) 18 with value (4 23) 20 with value (4 39)
% 1.20/1.39 ; 16 with value (4 8) 22 with value (4 24) 24 with value (4 40)
% 1.20/1.39 ; 18 with value (4 9) 23 with value (4 25) 9 with value (4 41)
% 1.20/1.39 ; 41 with value (4 10) 28 with value (4 26) 5 with value (4 42)
% 1.20/1.39 ; 42 with value (4 11) 13 with value (4 27) 10 with value (4 43)
% 1.20/1.39 ; 51 with value (4 12) 16 with value (4 28) 6 with value (4 44)
% 1.20/1.39 ; 29 with value (4 13) 27 with value (4 29) 2 with value (4 45)
% 1.20/1.39 ; 15 with value (4 14) 19 with value (4 30) 3 with value (4 46)
% 1.20/1.39 ; 27 with value (4 15) 10 with value (4 31) 2 with value (4 47)
% 1.20/1.39 ; 26 with value (4 16) 33 with value (4 32) 12 with value (4 48)
% 1.20/1.39 ; 53 with value (4 17) 10 with value (4 33) 7 with value (4 49)
% 1.20/1.39 ; 22 with value (4 18) 12 with value (4 34) 16 with value (4 50)
% 1.20/1.39 ; 73 with value (4 19) 27 with value (4 35) 8 with value (4 51)
% 1.20/1.39 ; 17 with value (4 20) 22 with value (4 36) 4 with value (4 53)
% 1.20/1.39 ; 6 with value (4 21) 20 with value (4 37) 2 with value (4 64)
% 1.20/1.39 Evaluation took:
% 1.20/1.39 0.904 seconds of real time
% 1.20/1.39 0.834375 seconds of user run time
% 1.20/1.39 0.069602 seconds of system run time
% 1.20/1.39 [Run times include 0.071 seconds GC run time.]
% 1.20/1.39 0 calls to %EVAL
% 1.20/1.39 0 page faults and
% 1.20/1.39 64,375,552 bytes consed.
% 1.20/1.39 :PROOF-FOUND
% 1.20/1.39 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T18:50:49
% 1.20/1.39 :PROOF-FOUND
% 1.20/1.39 *
%------------------------------------------------------------------------------