TSTP Solution File: ALG356-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 18:00:37 EDT 2022
% Result : Unsatisfiable 9.82s 10.09s
% Output : Refutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of clauses : 28 ( 19 unt; 3 nHn; 15 RR)
% Number of literals : 43 ( 29 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_eq__divide__imp_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| Y = c_HOL_Ozero__class_Ozero(X)
| Z = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(Z,Y,X),Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__imp_0) ).
cnf(cls_norm__mult_0,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(Y,Z,X),X) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(Y,X),c_RealVector_Onorm__class_Onorm(Z,X),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__mult_0) ).
cnf(cls_real__mult__right__cancel_0,axiom,
( c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(Z,Y,tc_RealDef_Oreal)
| Y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__right__cancel_0) ).
cnf(cls_norm__eq__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(Y,X) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__eq__zero_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
cnf(448,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_b_0,axiom,
v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_b_0) ).
cnf(cls_norm__of__real_0,axiom,
( ~ class_RealVector_Oreal__normed__algebra__1(X)
| c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(Y,X),X) = c_HOL_Oabs__class_Oabs(Y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__of__real_0) ).
cnf(cls_abs__norm__cancel_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__norm__cancel_0) ).
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_mult__frac__num_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| ~ class_Ring__and__Field_Odivision__by__zero(X)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(Y,Z,X),U,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(Y,U,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(796,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(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))),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,448,theory(equality)]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(1072,plain,
( c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(Z,Y,tc_RealDef_Oreal)
| Y = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))
| X = Z ),
inference('REWRITE',[status(thm)],[cls_real__mult__right__cancel_0,cls_Re_Ozero_0,theory(equality)]) ).
cnf(1073,plain,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(Y,X) != c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))
| Y = c_HOL_Ozero__class_Ozero(X) ),
inference('REWRITE',[status(thm)],[cls_norm__eq__zero_0,cls_Re_Ozero_0,theory(equality)]) ).
cnf(1436,plain,
c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_norm__of__real_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]),448,theory(equality)]) ).
cnf(1443,plain,
c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_abs__norm__cancel_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(1656,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) != c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference('UR-RESOLVE',[status(thm)],[1073,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,cls_b_0]) ).
cnf(1706,plain,
X = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X,v_b,tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),
inference('UR-RESOLVE',[status(thm)],[cls_eq__divide__imp_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,cls_b_0]) ).
cnf(1715,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(Y,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__mult_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
cnf(1858,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X,Z,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_mult__frac__num_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).
cnf(10817,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1072,1656,796]),cls_real__mult__1_0,1443,1436,1706,1858,1715,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 04:33:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-09T04:33:20
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T04:33:20
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 9.82/10.09
% 9.82/10.09
% 9.82/10.09 #||
% 9.82/10.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.82/10.09 % SZS output start Refutation
% See solution above
% 9.93/10.15 ||#
% 9.93/10.15
% 9.93/10.15 ; Summary of computation:
% 9.93/10.15 ; 55590 formulas have been input or derived (from 1468 formulas).
% 9.93/10.15 ; 10817 (19%) were retained. Of these,
% 9.93/10.15 ; 604 ( 6%) were simplified or subsumed later,
% 9.93/10.15 ; 10213 (94%) are still being kept.
% 9.93/10.15 ;
% 9.93/10.15 ; Run time in seconds excluding printing time:
% 9.93/10.15 ; 0.216 2% Read assertion file (1 call)
% 9.93/10.15 ; 0.025 0% Assert (1,206 calls)
% 9.93/10.16 ; 1.699 18% Process new row (48,468 calls)
% 9.93/10.16 ; 3.002 31% Resolution (2,934 calls)
% 9.93/10.16 ; 0.068 1% Paramodulation (1,467 calls)
% 9.93/10.16 ; 0.000 0% Factoring (6 calls)
% 9.93/10.16 ; 0.180 2% Condensing (16,318 calls)
% 9.93/10.16 ; 1.056 11% Forward subsumption (16,318 calls)
% 9.93/10.16 ; 0.173 2% Backward subsumption (3,623 calls)
% 9.93/10.16 ; 0.515 5% Clause clause subsumption (80,021 calls)
% 9.93/10.16 ; 1.866 19% Forward simplification (48,464 calls)
% 9.93/10.16 ; 0.127 1% Backward simplification (10,803 calls)
% 9.93/10.16 ; 0.451 5% Ordering (81,206 calls)
% 9.93/10.16 ; 0.001 0% Sortal reasoning (32 calls)
% 9.93/10.16 ; 0.003 0% Purity testing (1 call)
% 9.93/10.16 ; 0.242 3% Other
% 9.93/10.16 ; 9.624 Total
% 9.93/10.16 ; 9.695 Real time
% 9.93/10.16 ;
% 9.93/10.16 ; Term-hash-array has 26,917 terms in all.
% 9.93/10.16 ; Feature-vector-row-index has 3,475 entries (3,475 at peak, 3,623 added, 148 deleted).
% 9.93/10.16 ; Feature-vector-row-index has 12,691 nodes (12,691 at peak, 13,447 added, 756 deleted).
% 9.93/10.16 ; Retrieved 215,113 possibly forward subsuming rows in 16,318 calls.
% 9.93/10.16 ; Retrieved 5,951 possibly backward subsumed rows in 3,623 calls.
% 9.93/10.16 ; Path-index has 25,748 entries (25,748 at peak, 27,102 added, 1,354 deleted).
% 9.93/10.16 ; Path-index has 22,982 nodes (22,982 at peak, 23,991 added, 1,009 deleted).
% 9.93/10.16 ; Trie-index has 25,748 entries (25,748 at peak, 27,102 added, 1,354 deleted).
% 9.93/10.16 ; Trie-index has 226,017 nodes (226,017 at peak, 234,438 added, 8,421 deleted).
% 9.93/10.16 ; Retrieved 265,239 generalization terms in 441,375 calls.
% 9.93/10.16 ; Retrieved 9,729 instance terms in 7,774 calls.
% 9.93/10.16 ; Retrieved 6,498,739 unifiable terms in 70,759 calls.
% 9.93/10.16 ;
% 9.93/10.16 ; The agenda of rows to process has 885 entries:
% 9.93/10.16 ; 3 with value 34 90 with value 44 72 with value 53
% 9.93/10.16 ; 6 with value 35 72 with value 46 108 with value 55
% 9.93/10.16 ; 18 with value 38 90 with value 48 72 with value 57
% 9.93/10.16 ; 72 with value 40 24 with value 49 18 with value 63
% 9.93/10.16 ; 96 with value 42 72 with value 50 18 with value 69
% 9.93/10.16 ; 18 with value 43 18 with value 51 18 with value 76
% 9.93/10.16 ; The agenda of rows to give has 8745 entries:
% 9.93/10.16 ; 15 with value (4 11) 146 with value (4 35) 8 with value (4 59)
% 9.93/10.16 ; 244 with value (4 12) 134 with value (4 36) 186 with value (4 60)
% 9.93/10.16 ; 87 with value (4 13) 212 with value (4 37) 199 with value (4 62)
% 9.93/10.16 ; 168 with value (4 14) 159 with value (4 38) 10 with value (4 63)
% 9.93/10.16 ; 238 with value (4 15) 114 with value (4 39) 173 with value (4 64)
% 9.93/10.16 ; 234 with value (4 16) 157 with value (4 40) 11 with value (4 65)
% 9.93/10.16 ; 264 with value (4 17) 70 with value (4 41) 54 with value (4 66)
% 9.93/10.16 ; 314 with value (4 18) 138 with value (4 42) 9 with value (4 67)
% 9.93/10.16 ; 266 with value (4 19) 69 with value (4 43) 6 with value (4 68)
% 9.93/10.16 ; 228 with value (4 20) 165 with value (4 44) 6 with value (4 69)
% 9.93/10.16 ; 329 with value (4 21) 79 with value (4 45) 2 with value (4 70)
% 9.93/10.16 ; 226 with value (4 22) 108 with value (4 46) 24 with value (4 71)
% 9.93/10.16 ; 198 with value (4 23) 117 with value (4 47) 30 with value (4 73)
% 9.93/10.16 ; 154 with value (4 24) 171 with value (4 48) 18 with value (4 75)
% 9.93/10.16 ; 258 with value (4 25) 76 with value (4 49) 18 with value (4 76)
% 9.93/10.16 ; 249 with value (4 26) 155 with value (4 50) 6 with value (4 78)
% 9.93/10.16 ; 222 with value (4 27) 70 with value (4 51) 24 with value (4 80)
% 9.93/10.16 ; 271 with value (4 28) 131 with value (4 52) 2 with value (4 81)
% 9.93/10.16 ; 131 with value (4 29) 96 with value (4 53) 30 with value (4 82)
% 9.93/10.16 ; 215 with value (4 30) 87 with value (4 54) 12 with value (4 83)
% 9.93/10.16 ; 192 with value (4 31) 126 with value (4 55) 12 with value (4 84)
% 9.93/10.16 ; 217 with value (4 32) 66 with value (4 56) 18 with value (4 85)
% 9.93/10.16 ; 164 with value (4 33) 66 with value (4 57) 6 with value (4 92)
% 9.93/10.16 ; 160 with value (4 34) 119 with value (4 58) 6 with value (4 101)
% 9.93/10.16 Evaluation took:
% 9.93/10.16 9.698 seconds of real time
% 9.93/10.16 9.096989 seconds of user run time
% 9.93/10.16 0.597608 seconds of system run time
% 9.93/10.16 [Run times include 1.367 seconds GC run time.]
% 9.93/10.16 0 calls to %EVAL
% 9.93/10.16 0 page faults and
% 9.93/10.16 719,066,840 bytes consed.
% 9.93/10.16 :PROOF-FOUND
% 9.93/10.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T04:33:30
% 9.93/10.16 :PROOF-FOUND
% 9.93/10.16 *
%------------------------------------------------------------------------------