%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 18:00:39 EDT 2022
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 7 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 5 ( 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_norm__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(612,plain,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X),X) = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
inference('REWRITE',[status(thm)],[cls_norm__zero_0,cls_Re_Ozero_0,theory(equality)]) ).
cnf(cls_rp_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rp_0) ).
cnf(629,plain,
c_lessequals(c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r,tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_rp_0,cls_Re_Ozero_0,theory(equality)]) ).
cnf(cls_minus__equation__iff_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(Y,X),X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(1015,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),tc_RealDef_Oreal) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_minus__equation__iff_1,clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).
cnf(1016,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,1015,theory(equality)]) ).
cnf(1040,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[612,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(1041,plain,
$false,
inference('REWRITE',[status(thm)],[1016,629,1040,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 : Thu Jun 9 06:02:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T06:02:08
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-09T06:02:08
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 #||
% 0.60/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.80 % SZS output start Refutation
% See solution above
% 0.60/0.81 ||#
% 0.60/0.81
% 0.60/0.81 ; Summary of computation:
% 0.60/0.81 ; 1441 formulas have been input or derived (from 277 formulas).
% 0.60/0.81 ; 1041 (72%) were retained. Of these,
% 0.60/0.81 ; 38 ( 4%) were simplified or subsumed later,
% 0.60/0.81 ; 1003 (96%) are still being kept.
% 0.60/0.81 ;
% 0.60/0.81 ; Run time in seconds excluding printing time:
% 0.60/0.81 ; 0.172 50% Read assertion file (1 call)
% 0.60/0.81 ; 0.018 5% Assert (952 calls)
% 0.60/0.81 ; 0.056 16% Process new row (1,361 calls)
% 0.60/0.81 ; 0.007 2% Resolution (552 calls)
% 0.60/0.81 ; 0.000 0% Paramodulation (276 calls)
% 0.60/0.81 ; 0.000 0% Factoring (1 call)
% 0.60/0.81 ; 0.011 3% Condensing (777 calls)
% 0.60/0.81 ; 0.014 4% Forward subsumption (777 calls)
% 0.60/0.81 ; 0.013 4% Backward subsumption (702 calls)
% 0.60/0.81 ; 0.006 2% Clause clause subsumption (989 calls)
% 0.60/0.81 ; 0.013 4% Forward simplification (1,354 calls)
% 0.60/0.81 ; 0.002 1% Backward simplification (1,023 calls)
% 0.60/0.81 ; 0.002 1% Ordering (111 calls)
% 0.60/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.81 ; 0.002 1% Purity testing (1 call)
% 0.60/0.81 ; 0.028 8% Other
% 0.60/0.81 ; 0.344 Total
% 0.60/0.81 ; 0.345 Real time
% 0.60/0.81 ;
% 0.60/0.81 ; Term-hash-array has 1,337 terms in all.
% 0.60/0.81 ; Feature-vector-row-index has 687 entries (688 at peak, 702 added, 15 deleted).
% 0.60/0.81 ; Feature-vector-row-index has 1,692 nodes (1,716 at peak, 1,755 added, 63 deleted).
% 0.60/0.81 ; Retrieved 1,353 possibly forward subsuming rows in 777 calls.
% 0.60/0.81 ; Retrieved 1,274 possibly backward subsumed rows in 702 calls.
% 0.60/0.81 ; Path-index has 1,321 entries (1,327 at peak, 1,361 added, 40 deleted).
% 0.60/0.81 ; Path-index has 3,821 nodes (3,832 at peak, 3,878 added, 57 deleted).
% 0.60/0.81 ; Trie-index has 1,321 entries (1,327 at peak, 1,361 added, 40 deleted).
% 0.60/0.81 ; Trie-index has 4,573 nodes (4,604 at peak, 4,723 added, 150 deleted).
% 0.60/0.81 ; Retrieved 460 generalization terms in 2,608 calls.
% 0.60/0.81 ; Retrieved 361 instance terms in 322 calls.
% 0.60/0.81 ; Retrieved 9,949 unifiable terms in 1,241 calls.
% 0.60/0.81 ;
% 0.60/0.81 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.60/0.81 ; 4 with value 0
% 0.60/0.81 ; The agenda of rows to process has 3 entries:
% 0.60/0.81 ; 3 with value 12
% 0.60/0.81 ; The agenda of input rows to give has 565 entries:
% 0.60/0.81 ; 2 with value 14 27 with value 25 9 with value 36
% 0.60/0.81 ; 21 with value 15 12 with value 26 6 with value 37
% 0.60/0.81 ; 23 with value 16 81 with value 27 17 with value 38
% 0.60/0.81 ; 36 with value 17 5 with value 28 17 with value 39
% 0.60/0.81 ; 41 with value 18 3 with value 29 9 with value 40
% 0.60/0.81 ; 43 with value 19 27 with value 30 3 with value 42
% 0.60/0.81 ; 35 with value 20 6 with value 31 1 with value 44
% 0.60/0.81 ; 47 with value 21 4 with value 32 1 with value 45
% 0.60/0.81 ; 24 with value 22 2 with value 33 2 with value 46
% 0.60/0.81 ; 5 with value 23 3 with value 34 1 with value 47
% 0.60/0.81 ; 46 with value 24 5 with value 35 1 with value 52
% 0.60/0.81 ; The agenda of rows to give has 162 entries:
% 0.60/0.81 ; 95 with value (4 6) 13 with value (4 11) 5 with value (4 14)
% 0.60/0.81 ; 5 with value (4 9) 21 with value (4 12) 4 with value (4 15)
% 0.60/0.81 ; 13 with value (4 10) 6 with value (4 13)
% 0.60/0.81 Evaluation took:
% 0.60/0.81 0.346 seconds of real time
% 0.60/0.81 0.317481 seconds of user run time
% 0.60/0.81 0.027949 seconds of system run time
% 0.60/0.81 [Run times include 0.006 seconds GC run time.]
% 0.60/0.81 0 calls to %EVAL
% 0.60/0.81 0 page faults and
% 0.60/0.81 22,829,880 bytes consed.
% 0.60/0.81 :PROOF-FOUND
% 0.60/0.81 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T06:02:08
% 0.60/0.81 :PROOF-FOUND
% 0.60/0.81 *
%------------------------------------------------------------------------------