%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG413-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 18:00:46 EDT 2022
% Result : Unsatisfiable 0.85s 1.07s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 12 RR)
% Number of literals : 28 ( 15 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__ringb_Osubr0__iff_0,axiom,
( ~ class_Ring__and__Field_Oidom(X)
| ~ class_Int_Onumber__ring(X)
| c_HOL_Ominus__class_Ominus(Y,Z,X) != c_HOL_Ozero__class_Ozero(X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Oplus__class_Oplus(Y,Z,X) = c_HOL_Oplus__class_Oplus(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_diff__minus__eq__add_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) = c_HOL_Oplus__class_Oplus(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).
cnf(cls_norm__minus__cancel_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(Y,X),X) = c_RealVector_Onorm__class_Onorm(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__minus__cancel_0) ).
cnf(cls_poly__pCons_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Polynomial_Opoly(c_Polynomial_OpCons(Y,Z,X),U,X) = c_HOL_Oplus__class_Oplus(Y,c_HOL_Otimes__class_Otimes(U,c_Polynomial_Opoly(Z,U,X),X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
cnf(cls_CHAINED_0,axiom,
c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
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__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
cnf(1180,plain,
c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(Y,X,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I24_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1223,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__minus__cancel_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(1279,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_diff__minus__eq__add_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(1282,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[1180,1279,theory(equality)]) ).
cnf(1756,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(Z,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_poly__pCons_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]),1279,theory(equality)]) ).
cnf(1759,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_d____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,1282,1756,theory(equality)]) ).
cnf(1763,plain,
c_HOL_Ouminus__class_Ouminus(v_d____,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_class__ringb_Osubr0__iff_0,1759,clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,clsarity_Complex__Ocomplex__Int_Onumber__ring]) ).
cnf(1764,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,1223,1763,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG413-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 02:52:21 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 2022-06-09T02:52:21
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T02:52:21
% 0.49/0.68 WARNING:
% 0.49/0.68 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.68 WARNING:
% 0.49/0.68 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07 #||
% 0.85/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.07 % SZS output start Refutation
% See solution above
% 0.85/1.08 ||#
% 0.85/1.08
% 0.85/1.08 ; Summary of computation:
% 0.85/1.08 ; 3707 formulas have been input or derived (from 706 formulas).
% 0.85/1.08 ; 1764 (48%) were retained. Of these,
% 0.85/1.08 ; 125 ( 7%) were simplified or subsumed later,
% 0.85/1.08 ; 1639 (93%) are still being kept.
% 0.85/1.08 ;
% 0.85/1.08 ; Run time in seconds excluding printing time:
% 0.85/1.08 ; 0.186 30% Read assertion file (1 call)
% 0.85/1.08 ; 0.022 4% Assert (1,051 calls)
% 0.85/1.08 ; 0.096 16% Process new row (3,250 calls)
% 0.85/1.08 ; 0.078 13% Resolution (1,410 calls)
% 0.85/1.08 ; 0.014 2% Paramodulation (705 calls)
% 0.85/1.08 ; 0.000 0% Factoring (2 calls)
% 0.85/1.08 ; 0.016 3% Condensing (1,218 calls)
% 0.85/1.08 ; 0.034 6% Forward subsumption (1,218 calls)
% 0.85/1.08 ; 0.019 3% Backward subsumption (941 calls)
% 0.85/1.08 ; 0.007 1% Clause clause subsumption (1,514 calls)
% 0.85/1.08 ; 0.078 13% Forward simplification (3,246 calls)
% 0.85/1.08 ; 0.012 2% Backward simplification (1,764 calls)
% 0.85/1.08 ; 0.011 2% Ordering (3,466 calls)
% 0.85/1.08 ; 0.000 0% Sortal reasoning (32 calls)
% 0.85/1.08 ; 0.002 0% Purity testing (1 call)
% 0.85/1.08 ; 0.040 7% Other
% 0.85/1.08 ; 0.615 Total
% 0.85/1.08 ; 0.617 Real time
% 0.85/1.08 ;
% 0.85/1.08 ; Term-hash-array has 3,197 terms in all.
% 0.85/1.08 ; Feature-vector-row-index has 925 entries (925 at peak, 941 added, 16 deleted).
% 0.85/1.08 ; Feature-vector-row-index has 3,261 nodes (3,261 at peak, 3,379 added, 118 deleted).
% 0.85/1.08 ; Retrieved 1,522 possibly forward subsuming rows in 1,218 calls.
% 0.85/1.08 ; Retrieved 811 possibly backward subsumed rows in 941 calls.
% 0.85/1.08 ; Path-index has 2,920 entries (3,014 at peak, 3,234 added, 314 deleted).
% 0.85/1.08 ; Path-index has 7,756 nodes (8,062 at peak, 8,280 added, 524 deleted).
% 0.85/1.08 ; Trie-index has 2,920 entries (3,014 at peak, 3,234 added, 314 deleted).
% 0.85/1.08 ; Trie-index has 11,492 nodes (12,344 at peak, 13,412 added, 1,920 deleted).
% 0.85/1.08 ; Retrieved 5,596 generalization terms in 12,062 calls.
% 0.85/1.08 ; Retrieved 1,176 instance terms in 918 calls.
% 0.85/1.08 ; Retrieved 126,075 unifiable terms in 5,403 calls.
% 0.85/1.08 ;
% 0.85/1.08 ; The agenda of backward simplifiable rows to process has 33 entries:
% 0.85/1.08 ; 33 with value 0
% 0.85/1.08 ; The agenda of rows to process has 12 entries:
% 0.85/1.08 ; 2 with value 30 1 with value 33 4 with value 38
% 0.85/1.08 ; 3 with value 32 2 with value 37
% 0.85/1.08 ; The agenda of input rows to give has 241 entries:
% 0.85/1.08 ; 1 with value 25 5 with value 33 3 with value 42
% 0.85/1.08 ; 13 with value 26 4 with value 34 3 with value 43
% 0.85/1.08 ; 87 with value 27 5 with value 35 1 with value 44
% 0.85/1.08 ; 10 with value 28 9 with value 36 1 with value 45
% 0.85/1.08 ; 7 with value 29 8 with value 37 2 with value 46
% 0.85/1.08 ; 28 with value 30 17 with value 38 1 with value 47
% 0.85/1.08 ; 6 with value 31 17 with value 39 1 with value 52
% 0.85/1.08 ; 3 with value 32 9 with value 40
% 0.85/1.08 ; The agenda of rows to give has 697 entries:
% 0.85/1.08 ; 109 with value (4 6) 61 with value (4 19) 11 with value (4 30)
% 0.85/1.08 ; 14 with value (4 8) 15 with value (4 20) 3 with value (4 31)
% 0.85/1.08 ; 13 with value (4 9) 15 with value (4 21) 11 with value (4 32)
% 0.85/1.08 ; 18 with value (4 10) 27 with value (4 22) 7 with value (4 33)
% 0.85/1.08 ; 44 with value (4 11) 13 with value (4 23) 1 with value (4 34)
% 0.85/1.08 ; 37 with value (4 12) 18 with value (4 24) 7 with value (4 35)
% 0.85/1.08 ; 35 with value (4 13) 14 with value (4 25) 6 with value (4 36)
% 0.85/1.08 ; 30 with value (4 14) 20 with value (4 26) 5 with value (4 37)
% 0.85/1.08 ; 29 with value (4 15) 9 with value (4 27) 3 with value (4 38)
% 0.85/1.08 ; 33 with value (4 16) 10 with value (4 28) 8 with value (4 40)
% 0.85/1.08 ; 44 with value (4 17) 6 with value (4 29) 1 with value (4 43)
% 0.85/1.08 ; 20 with value (4 18)
% 0.85/1.08 Evaluation took:
% 0.85/1.08 0.618 seconds of real time
% 0.85/1.08 0.582315 seconds of user run time
% 0.85/1.08 0.035689 seconds of system run time
% 0.85/1.08 [Run times include 0.034 seconds GC run time.]
% 0.85/1.08 0 calls to %EVAL
% 0.85/1.08 0 page faults and
% 0.85/1.08 42,894,064 bytes consed.
% 0.85/1.08 :PROOF-FOUND
% 0.85/1.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T02:52:22
% 0.85/1.08 :PROOF-FOUND
% 0.85/1.08 *
%------------------------------------------------------------------------------