TSTP Solution File: ALG368-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 0.78s 0.95s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 26 ( 10 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_abs__add__one__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__add__one__gt__zero_0) ).
cnf(cls_dist__self_0,axiom,
( ~ class_RealVector_Ometric__space(X)
| c_RealVector_Odist__class_Odist(Y,Y,X) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dist__self_0) ).
cnf(cls_dist__complex__def_0,axiom,
c_RealVector_Odist__class_Odist(X,Y,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dist__complex__def_0) ).
cnf(cls_poly__0_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__0_0) ).
cnf(cls_ep_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ep_0) ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_HOL_Ominus__class_Ominus(Y,Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
cnf(cls_diff__0__right_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ominus__class_Ominus(Y,c_HOL_Ozero__class_Ozero(X),X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
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__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Ometric__space) ).
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(1087,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_dist__self_0,clsarity_Complex__Ocomplex__RealVector_Ometric__space]),cls_dist__complex__def_0,theory(equality)]) ).
cnf(1107,plain,
c_HOL_Ominus__class_Ominus(X,X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_eq__iff__diff__eq__0_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).
cnf(1108,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1087,1107,theory(equality)]) ).
cnf(1109,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
inference('REWRITE',[status(thm)],[cls_conjecture_2,1107,theory(equality)]) ).
cnf(1200,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_diff__0__right_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(1439,plain,
c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_poly__0_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(1440,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1109,cls_ep_0,1108,1200,1439,theory(equality)]) ).
cnf(1441,plain,
$false,
inference('REWRITE',[status(thm)],[cls_abs__add__one__gt__zero_0,1440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 19:20:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-08T19:20:31
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-08T19:20:31
% 0.48/0.69 WARNING:
% 0.48/0.69 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.78/0.95
% 0.78/0.95
% 0.78/0.95 #||
% 0.78/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.95 % SZS output start Refutation
% See solution above
% 0.78/0.95 ||#
% 0.78/0.95
% 0.78/0.95 ; Summary of computation:
% 0.78/0.95 ; 2862 formulas have been input or derived (from 430 formulas).
% 0.78/0.95 ; 1441 (50%) were retained. Of these,
% 0.78/0.95 ; 149 (10%) were simplified or subsumed later,
% 0.78/0.95 ; 1292 (90%) are still being kept.
% 0.78/0.95 ;
% 0.78/0.95 ; Run time in seconds excluding printing time:
% 0.78/0.95 ; 0.182 39% Read assertion file (1 call)
% 0.78/0.95 ; 0.020 4% Assert (1,044 calls)
% 0.78/0.95 ; 0.097 21% Process new row (2,545 calls)
% 0.78/0.95 ; 0.041 9% Resolution (858 calls)
% 0.78/0.95 ; 0.002 0% Paramodulation (429 calls)
% 0.78/0.95 ; 0.000 0% Factoring (4 calls)
% 0.78/0.95 ; 0.007 1% Condensing (958 calls)
% 0.78/0.95 ; 0.022 5% Forward subsumption (958 calls)
% 0.78/0.95 ; 0.016 3% Backward subsumption (802 calls)
% 0.78/0.95 ; 0.004 1% Clause clause subsumption (1,057 calls)
% 0.78/0.95 ; 0.037 8% Forward simplification (2,543 calls)
% 0.78/0.95 ; 0.008 2% Backward simplification (1,438 calls)
% 0.78/0.95 ; 0.001 0% Ordering (821 calls)
% 0.78/0.95 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.95 ; 0.002 0% Purity testing (1 call)
% 0.78/0.95 ; 0.033 7% Other
% 0.78/0.95 ; 0.472 Total
% 0.78/0.95 ; 0.474 Real time
% 0.78/0.95 ;
% 0.78/0.95 ; Term-hash-array has 2,215 terms in all.
% 0.78/0.95 ; Feature-vector-row-index has 726 entries (797 at peak, 802 added, 76 deleted).
% 0.78/0.95 ; Feature-vector-row-index has 2,366 nodes (2,769 at peak, 2,801 added, 435 deleted).
% 0.78/0.95 ; Retrieved 939 possibly forward subsuming rows in 958 calls.
% 0.78/0.95 ; Retrieved 805 possibly backward subsumed rows in 802 calls.
% 0.78/0.95 ; Path-index has 2,002 entries (2,189 at peak, 2,237 added, 235 deleted).
% 0.78/0.95 ; Path-index has 6,196 nodes (6,438 at peak, 6,547 added, 351 deleted).
% 0.78/0.95 ; Trie-index has 2,002 entries (2,189 at peak, 2,237 added, 235 deleted).
% 0.78/0.95 ; Trie-index has 7,487 nodes (8,101 at peak, 8,397 added, 910 deleted).
% 0.78/0.95 ; Retrieved 1,737 generalization terms in 6,015 calls.
% 0.78/0.95 ; Retrieved 979 instance terms in 649 calls.
% 0.78/0.95 ; Retrieved 35,607 unifiable terms in 2,548 calls.
% 0.78/0.95 ;
% 0.78/0.95 ; The agenda of backward simplifiable rows to process has 30 entries:
% 0.78/0.95 ; 30 with value 0
% 0.78/0.95 ; The agenda of rows to process has 4 entries:
% 0.78/0.95 ; 4 with value 14
% 0.78/0.95 ; The agenda of input rows to give has 484 entries:
% 0.78/0.95 ; 1 with value 7 26 with value 25 6 with value 35
% 0.78/0.95 ; 3 with value 16 12 with value 26 9 with value 36
% 0.78/0.95 ; 23 with value 17 87 with value 27 6 with value 37
% 0.78/0.95 ; 32 with value 18 8 with value 28 17 with value 38
% 0.78/0.95 ; 12 with value 19 4 with value 29 17 with value 39
% 0.78/0.95 ; 41 with value 20 33 with value 30 9 with value 40
% 0.78/0.95 ; 37 with value 21 6 with value 31 1 with value 44
% 0.78/0.95 ; 27 with value 22 3 with value 32 2 with value 46
% 0.78/0.95 ; 5 with value 23 4 with value 33 2 with value 47
% 0.78/0.95 ; 46 with value 24 5 with value 34
% 0.78/0.95 ; The agenda of rows to give has 413 entries:
% 0.78/0.95 ; 96 with value (4 6) 21 with value (4 14) 9 with value (4 20)
% 0.78/0.95 ; 30 with value (4 8) 20 with value (4 15) 4 with value (4 21)
% 0.78/0.95 ; 21 with value (4 9) 20 with value (4 16) 4 with value (4 22)
% 0.78/0.95 ; 37 with value (4 10) 17 with value (4 17) 3 with value (4 23)
% 0.78/0.95 ; 46 with value (4 11) 7 with value (4 18) 2 with value (4 24)
% 0.78/0.95 ; 35 with value (4 12) 5 with value (4 19) 1 with value (4 28)
% 0.78/0.95 ; 35 with value (4 13)
% 0.78/0.95 Evaluation took:
% 0.78/0.95 0.475 seconds of real time
% 0.78/0.95 0.446372 seconds of user run time
% 0.78/0.95 0.028609 seconds of system run time
% 0.78/0.95 [Run times include 0.026 seconds GC run time.]
% 0.78/0.95 0 calls to %EVAL
% 0.78/0.95 0 page faults and
% 0.78/0.95 31,420,992 bytes consed.
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:20:32
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 *
%------------------------------------------------------------------------------