TSTP Solution File: ALG438-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 18:00:49 EDT 2022
% Result : Unsatisfiable 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 3 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mult__pCons__left_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(Y,Z,X),U,tc_Polynomial_Opoly(X)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(Y,U,X),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X),c_HOL_Otimes__class_Otimes(Z,U,tc_Polynomial_Opoly(X)),X),tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pCons__left_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(386,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X,Y,tc_Complex_Ocomplex),Z,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X,Z,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(Y,Z,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[cls_mult__pCons__left_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(387,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,386,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 8 02:33:56 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T02:33:56
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T02:33:56
% 0.18/0.55 WARNING:
% 0.18/0.55 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.55 WARNING:
% 0.18/0.55 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.55 WARNING:
% 0.18/0.55 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62
% 0.43/0.62
% 0.43/0.62 #||
% 0.43/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.62 % SZS output start Refutation
% See solution above
% 0.43/0.62 ||#
% 0.43/0.62
% 0.43/0.62 ; Summary of computation:
% 0.43/0.62 ; 603 formulas have been input or derived (from 301 formulas).
% 0.43/0.62 ; 387 (64%) were retained. Of these,
% 0.43/0.62 ; 5 ( 1%) were simplified or subsumed later,
% 0.43/0.62 ; 382 (99%) are still being kept.
% 0.43/0.62 ;
% 0.43/0.62 ; Run time in seconds excluding printing time:
% 0.43/0.62 ; 0.086 49% Read assertion file (1 call)
% 0.43/0.62 ; 0.008 5% Assert (392 calls)
% 0.43/0.62 ; 0.026 15% Process new row (491 calls)
% 0.43/0.62 ; 0.011 6% Resolution (600 calls)
% 0.43/0.62 ; 0.004 2% Paramodulation (300 calls)
% 0.43/0.62 ; 0.005 3% Condensing (328 calls)
% 0.43/0.62 ; 0.001 1% Forward subsumption (328 calls)
% 0.43/0.62 ; 0.006 3% Backward subsumption (292 calls)
% 0.43/0.62 ; 0.002 1% Clause clause subsumption (384 calls)
% 0.43/0.62 ; 0.006 3% Forward simplification (459 calls)
% 0.43/0.62 ; 0.001 1% Backward simplification (387 calls)
% 0.43/0.62 ; 0.001 1% Ordering (247 calls)
% 0.43/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.62 ; 0.001 1% Purity testing (1 call)
% 0.43/0.62 ; 0.018 10% Other
% 0.43/0.62 ; 0.176 Total
% 0.43/0.62 ; 0.178 Real time
% 0.43/0.63 ;
% 0.43/0.63 ; Term-hash-array has 657 terms in all.
% 0.43/0.63 ; Feature-vector-row-index has 288 entries (288 at peak, 292 added, 4 deleted).
% 0.43/0.63 ; Feature-vector-row-index has 811 nodes (811 at peak, 858 added, 47 deleted).
% 0.43/0.63 ; Retrieved 291 possibly forward subsuming rows in 328 calls.
% 0.43/0.63 ; Retrieved 241 possibly backward subsumed rows in 292 calls.
% 0.43/0.63 ; Path-index has 645 entries (657 at peak, 669 added, 24 deleted).
% 0.43/0.63 ; Path-index has 1,767 nodes (1,807 at peak, 1,820 added, 53 deleted).
% 0.43/0.63 ; Trie-index has 645 entries (657 at peak, 669 added, 24 deleted).
% 0.43/0.63 ; Trie-index has 2,634 nodes (2,718 at peak, 2,782 added, 148 deleted).
% 0.43/0.63 ; Retrieved 63 generalization terms in 363 calls.
% 0.43/0.63 ; Retrieved 136 instance terms in 116 calls.
% 0.43/0.63 ; Retrieved 7,897 unifiable terms in 1,333 calls.
% 0.43/0.63 ;
% 0.43/0.63 ; The agenda of input rows to give has 10 entries:
% 0.43/0.63 ; 1 with value 34 6 with value 39 2 with value 42
% 0.43/0.63 ; 1 with value 38
% 0.43/0.63 ; The agenda of rows to give has 71 entries:
% 0.43/0.63 ; 19 with value (4 6) 3 with value (4 16) 3 with value (4 25)
% 0.43/0.63 ; 4 with value (4 11) 11 with value (4 19) 1 with value (4 27)
% 0.43/0.63 ; 4 with value (4 12) 1 with value (4 21) 2 with value (4 28)
% 0.43/0.63 ; 1 with value (4 13) 6 with value (4 22) 1 with value (4 29)
% 0.43/0.63 ; 3 with value (4 14) 2 with value (4 23) 1 with value (4 30)
% 0.43/0.63 ; 4 with value (4 15) 2 with value (4 24) 3 with value (4 31)
% 0.43/0.63 Evaluation took:
% 0.43/0.63 0.178 seconds of real time
% 0.43/0.63 0.167038 seconds of user run time
% 0.43/0.63 0.011213 seconds of system run time
% 0.43/0.63 0 calls to %EVAL
% 0.43/0.63 0 page faults and
% 0.43/0.63 11,259,752 bytes consed.
% 0.43/0.63 :PROOF-FOUND
% 0.43/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T02:33:56
% 0.43/0.63 :PROOF-FOUND
% 0.43/0.63 *
%------------------------------------------------------------------------------