TSTP Solution File: ALG386-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 18:00:42 EDT 2022
% Result : Unsatisfiable 0.86s 1.03s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 16 unt; 1 nHn; 13 RR)
% Number of literals : 36 ( 13 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',cls_diff__minus__eq__add_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/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
cnf(cls_neg__0__equal__iff__equal_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X)
| c_HOL_Ozero__class_Ozero(X) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_1) ).
cnf(cls_mult__eq__0__iff_1,axiom,
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_poly__pCons_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/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_CHAINED_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| c_lessequals(X,c_RealVector_Onorm__class_Onorm(v_x(X),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(375,plain,
c_lessequals(X,c_RealVector_Onorm__class_Onorm(v_x(X),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_thesis____
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(377,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_0]) ).
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/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(653,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(655,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_neg__0__equal__iff__equal_1,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(680,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_mult__eq__0__iff_1,clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors]) ).
cnf(686,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(747,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(749,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)],[686,747,theory(equality)]) ).
cnf(1071,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]),747,theory(equality)]) ).
cnf(1072,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(v_cs____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,749,653,655,680,1071,theory(equality)]) ).
cnf(1073,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(v_x(X),c_Polynomial_Opoly(v_cs____,v_x(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[377,749,653,655,680,1071,theory(equality)]) ).
cnf(1390,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[1072,1073,375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 01:49:35 EDT 2022
% 0.11/0.33 % 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 2022-06-08T01:49:35
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T01:49:35
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.86/1.03
% 0.86/1.03
% 0.86/1.03 #||
% 0.86/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.03 % SZS output start Refutation
% See solution above
% 0.86/1.03 ||#
% 0.86/1.03
% 0.86/1.03 ; Summary of computation:
% 0.86/1.03 ; 3818 formulas have been input or derived (from 506 formulas).
% 0.86/1.03 ; 1390 (36%) were retained. Of these,
% 0.86/1.03 ; 60 ( 4%) were simplified or subsumed later,
% 0.86/1.03 ; 1330 (96%) are still being kept.
% 0.86/1.03 ;
% 0.86/1.03 ; Run time in seconds excluding printing time:
% 0.86/1.03 ; 0.112 19% Read assertion file (1 call)
% 0.86/1.03 ; 0.010 2% Assert (594 calls)
% 0.86/1.03 ; 0.094 16% Process new row (3,146 calls)
% 0.86/1.03 ; 0.089 15% Resolution (1,010 calls)
% 0.86/1.03 ; 0.020 3% Paramodulation (505 calls)
% 0.86/1.03 ; 0.000 0% Factoring (1 call)
% 0.86/1.03 ; 0.013 2% Condensing (1,237 calls)
% 0.86/1.03 ; 0.061 11% Forward subsumption (1,237 calls)
% 0.86/1.03 ; 0.018 3% Backward subsumption (704 calls)
% 0.86/1.03 ; 0.019 3% Clause clause subsumption (2,118 calls)
% 0.86/1.03 ; 0.070 12% Forward simplification (3,085 calls)
% 0.86/1.03 ; 0.010 2% Backward simplification (1,382 calls)
% 0.86/1.03 ; 0.017 3% Ordering (4,526 calls)
% 0.86/1.03 ; 0.000 0% Sortal reasoning (32 calls)
% 0.86/1.03 ; 0.001 0% Purity testing (1 call)
% 0.86/1.03 ; 0.044 8% Other
% 0.86/1.03 ; 0.578 Total
% 0.86/1.03 ; 0.580 Real time
% 0.86/1.03 ;
% 0.86/1.03 ; Term-hash-array has 2,669 terms in all.
% 0.86/1.03 ; Feature-vector-row-index has 685 entries (685 at peak, 704 added, 19 deleted).
% 0.86/1.03 ; Feature-vector-row-index has 3,152 nodes (3,152 at peak, 3,342 added, 190 deleted).
% 0.86/1.03 ; Retrieved 2,947 possibly forward subsuming rows in 1,237 calls.
% 0.86/1.03 ; Retrieved 613 possibly backward subsumed rows in 704 calls.
% 0.86/1.03 ; Path-index has 2,575 entries (2,575 at peak, 2,697 added, 122 deleted).
% 0.86/1.03 ; Path-index has 7,073 nodes (7,073 at peak, 7,201 added, 128 deleted).
% 0.86/1.03 ; Trie-index has 2,575 entries (2,575 at peak, 2,697 added, 122 deleted).
% 0.86/1.03 ; Trie-index has 12,851 nodes (12,851 at peak, 13,395 added, 544 deleted).
% 0.86/1.03 ; Retrieved 10,625 generalization terms in 18,199 calls.
% 0.86/1.03 ; Retrieved 953 instance terms in 735 calls.
% 0.86/1.03 ; Retrieved 103,195 unifiable terms in 4,005 calls.
% 0.86/1.03 ;
% 0.86/1.03 ; The agenda of rows to process has 5 entries:
% 0.86/1.03 ; 1 with value 13 1 with value 33 1 with value 37
% 0.86/1.03 ; 1 with value 15 1 with value 35
% 0.86/1.03 ; The agenda of input rows to give has 29 entries:
% 0.86/1.03 ; 5 with value 35 2 with value 40 2 with value 46
% 0.86/1.03 ; 3 with value 37 4 with value 42 1 with value 47
% 0.86/1.03 ; 1 with value 38 1 with value 44 1 with value 52
% 0.86/1.03 ; 6 with value 39 1 with value 45 2 with value 73
% 0.86/1.03 ; The agenda of rows to give has 796 entries:
% 0.86/1.03 ; 91 with value (4 6) 36 with value (4 22) 10 with value (4 35)
% 0.86/1.03 ; 1 with value (4 9) 12 with value (4 23) 24 with value (4 36)
% 0.86/1.03 ; 2 with value (4 10) 20 with value (4 24) 18 with value (4 37)
% 0.86/1.03 ; 11 with value (4 11) 18 with value (4 25) 10 with value (4 38)
% 0.86/1.03 ; 20 with value (4 12) 41 with value (4 26) 6 with value (4 39)
% 0.86/1.03 ; 11 with value (4 13) 45 with value (4 27) 12 with value (4 40)
% 0.86/1.03 ; 21 with value (4 14) 25 with value (4 28) 3 with value (4 41)
% 0.86/1.03 ; 29 with value (4 15) 25 with value (4 29) 2 with value (4 42)
% 0.86/1.03 ; 24 with value (4 16) 36 with value (4 30) 4 with value (4 43)
% 0.86/1.03 ; 38 with value (4 17) 33 with value (4 31) 3 with value (4 44)
% 0.86/1.03 ; 15 with value (4 18) 33 with value (4 32) 2 with value (4 45)
% 0.86/1.03 ; 33 with value (4 19) 13 with value (4 33) 2 with value (4 46)
% 0.86/1.03 ; 21 with value (4 20) 23 with value (4 34) 1 with value (4 49)
% 0.86/1.03 ; 22 with value (4 21)
% 0.86/1.03 Evaluation took:
% 0.86/1.03 0.581 seconds of real time
% 0.86/1.03 0.541858 seconds of user run time
% 0.86/1.03 0.038839 seconds of system run time
% 0.86/1.03 [Run times include 0.028 seconds GC run time.]
% 0.86/1.03 0 calls to %EVAL
% 0.86/1.03 0 page faults and
% 0.86/1.03 44,318,104 bytes consed.
% 0.86/1.03 :PROOF-FOUND
% 0.86/1.03 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T01:49:36
% 0.86/1.03 :PROOF-FOUND
% 0.86/1.03 *
%------------------------------------------------------------------------------