TSTP Solution File: ALG432-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG432-1 : 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 18:00:48 EDT 2022
% Result : Unsatisfiable 0.75s 0.99s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 12 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_group__add__class_Odiff__0_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X),Y,X) = c_HOL_Ouminus__class_Ouminus(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_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_minus__zero_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__zero_0) ).
cnf(cls_mult__eq__0__iff_2,axiom,
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X)
| c_HOL_Otimes__class_Otimes(Y,c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).
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_conjecture_0,negated_conjecture,
c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
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_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(1046,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_minus__zero_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(1091,plain,
c_HOL_Otimes__class_Otimes(X,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_mult__eq__0__iff_2,clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors]) ).
cnf(1109,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_group__add__class_Odiff__0_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(1210,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(1659,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]),1210,theory(equality)]) ).
cnf(1660,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_1,1109,1046,1091,cls_conjecture_0,1659,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG432-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 : Wed Jun 8 02:51:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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 2022-06-08T02:51:26
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T02:51:26
% 0.45/0.66 WARNING:
% 0.45/0.66 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.66 WARNING:
% 0.45/0.66 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.75/0.99
% 0.75/0.99
% 0.75/0.99 #||
% 0.75/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.99 % SZS output start Refutation
% See solution above
% 0.75/0.99 ||#
% 0.75/0.99
% 0.75/0.99 ; Summary of computation:
% 0.75/0.99 ; 3127 formulas have been input or derived (from 683 formulas).
% 0.75/0.99 ; 1660 (53%) were retained. Of these,
% 0.75/0.99 ; 128 ( 8%) were simplified or subsumed later,
% 0.75/0.99 ; 1532 (92%) are still being kept.
% 0.75/0.99 ;
% 0.75/0.99 ; Run time in seconds excluding printing time:
% 0.75/0.99 ; 0.166 32% Read assertion file (1 call)
% 0.75/0.99 ; 0.018 3% Assert (938 calls)
% 0.75/0.99 ; 0.107 20% Process new row (2,803 calls)
% 0.75/0.99 ; 0.091 17% Resolution (1,364 calls)
% 0.75/0.99 ; 0.007 1% Paramodulation (682 calls)
% 0.75/0.99 ; 0.000 0% Factoring (1 call)
% 0.75/0.99 ; 0.013 2% Condensing (792 calls)
% 0.75/0.99 ; 0.008 2% Forward subsumption (792 calls)
% 0.75/0.99 ; 0.011 2% Backward subsumption (703 calls)
% 0.75/0.99 ; 0.002 0% Clause clause subsumption (750 calls)
% 0.75/0.99 ; 0.045 9% Forward simplification (2,796 calls)
% 0.75/0.99 ; 0.017 3% Backward simplification (1,659 calls)
% 0.75/0.99 ; 0.006 1% Ordering (1,624 calls)
% 0.75/0.99 ; 0.000 0% Sortal reasoning (32 calls)
% 0.75/0.99 ; 0.002 0% Purity testing (1 call)
% 0.75/0.99 ; 0.030 6% Other
% 0.75/0.99 ; 0.523 Total
% 0.75/0.99 ; 0.526 Real time
% 0.75/0.99 ;
% 0.75/0.99 ; Term-hash-array has 3,196 terms in all.
% 0.75/0.99 ; Feature-vector-row-index has 698 entries (700 at peak, 703 added, 5 deleted).
% 0.75/0.99 ; Feature-vector-row-index has 2,233 nodes (2,239 at peak, 2,258 added, 25 deleted).
% 0.75/0.99 ; Retrieved 864 possibly forward subsuming rows in 792 calls.
% 0.75/0.99 ; Retrieved 777 possibly backward subsumed rows in 703 calls.
% 0.75/0.99 ; Path-index has 2,933 entries (3,037 at peak, 3,213 added, 280 deleted).
% 0.75/0.99 ; Path-index has 7,441 nodes (7,691 at peak, 7,837 added, 396 deleted).
% 0.75/0.99 ; Trie-index has 2,933 entries (3,037 at peak, 3,213 added, 280 deleted).
% 0.75/0.99 ; Trie-index has 11,520 nodes (12,427 at peak, 13,241 added, 1,721 deleted).
% 0.75/0.99 ; Retrieved 3,788 generalization terms in 8,167 calls.
% 0.75/0.99 ; Retrieved 1,240 instance terms in 1,030 calls.
% 0.75/0.99 ; Retrieved 102,402 unifiable terms in 4,622 calls.
% 0.75/0.99 ;
% 0.75/0.99 ; The agenda of backward simplifiable rows to process has 57 entries:
% 0.75/0.99 ; 57 with value 0
% 0.75/0.99 ; The agenda of rows to process has 4 entries:
% 0.75/0.99 ; 4 with value 23
% 0.75/0.99 ; The agenda of input rows to give has 157 entries:
% 0.75/0.99 ; 1 with value 25 3 with value 33 3 with value 42
% 0.75/0.99 ; 13 with value 26 4 with value 34 3 with value 43
% 0.75/0.99 ; 43 with value 27 7 with value 36 1 with value 44
% 0.75/0.99 ; 10 with value 28 8 with value 37 1 with value 45
% 0.75/0.99 ; 15 with value 29 9 with value 38 2 with value 46
% 0.75/0.99 ; 17 with value 30 4 with value 39 1 with value 47
% 0.75/0.99 ; 6 with value 31 4 with value 40 1 with value 52
% 0.75/0.99 ; 1 with value 32
% 0.75/0.99 ; The agenda of rows to give has 694 entries:
% 0.75/0.99 ; 1 with value (4 5) 22 with value (4 16) 14 with value (4 26)
% 0.75/0.99 ; 114 with value (4 6) 34 with value (4 17) 2 with value (4 27)
% 0.75/0.99 ; 7 with value (4 7) 17 with value (4 18) 3 with value (4 28)
% 0.75/0.99 ; 33 with value (4 8) 78 with value (4 19) 2 with value (4 29)
% 0.75/0.99 ; 41 with value (4 9) 11 with value (4 20) 1 with value (4 32)
% 0.75/0.99 ; 22 with value (4 10) 5 with value (4 21) 2 with value (4 34)
% 0.75/0.99 ; 44 with value (4 11) 23 with value (4 22) 2 with value (4 36)
% 0.75/0.99 ; 55 with value (4 12) 4 with value (4 23) 2 with value (4 37)
% 0.75/0.99 ; 38 with value (4 13) 4 with value (4 24) 2 with value (4 42)
% 0.75/0.99 ; 57 with value (4 14) 3 with value (4 25) 1 with value (4 43)
% 0.75/0.99 ; 50 with value (4 15)
% 0.75/0.99 Evaluation took:
% 0.75/0.99 0.526 seconds of real time
% 0.75/0.99 0.487972 seconds of user run time
% 0.75/0.99 0.038079 seconds of system run time
% 0.75/0.99 [Run times include 0.025 seconds GC run time.]
% 0.75/0.99 0 calls to %EVAL
% 0.75/0.99 0 page faults and
% 0.75/0.99 34,167,568 bytes consed.
% 0.75/0.99 :PROOF-FOUND
% 0.75/0.99 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T02:51:26
% 0.75/0.99 :PROOF-FOUND
% 0.75/0.99 *
%------------------------------------------------------------------------------