%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG385-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 18:00:41 EDT 2022
% Result : Unsatisfiable 1.35s 1.53s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 12 RR)
% Number of literals : 32 ( 16 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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_order__root_1,axiom,
( ~ class_Ring__and__Field_Oidom(X)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_1) ).
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_class__semiring_Osemiring__rules_I10_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Otimes__class_Otimes(Y,c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_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/sandbox2/benchmark/theBenchmark.p',cls_diff__minus__eq__add_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_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_cs0_0,axiom,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cs0_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_aa____,c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/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/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(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(1148,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(1167,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(1207,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(1211,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_class__semiring_Osemiring__rules_I10_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1306,plain,
c_Polynomial_Opoly(v_cs____,X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_order__root_1,clsarity_Complex__Ocomplex__Ring__and__Field_Oidom]),cls_cs0_0,theory(equality)]) ).
cnf(1436,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(1443,plain,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_aa____,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_CHAINED_0_01,1436,theory(equality)]) ).
cnf(1461,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)],[1207,1436,theory(equality)]) ).
cnf(1462,plain,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_aa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1443,1461,theory(equality)]) ).
cnf(2883,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]),1436,theory(equality)]) ).
cnf(2884,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,1462,1461,1148,1167,1211,1306,2883,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG385-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 : Tue Jun 7 22:08:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T22:08:31
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-07T22:08:31
% 0.45/0.68 WARNING:
% 0.45/0.68 |class_Orderings_Obot| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.68 WARNING:
% 0.45/0.68 |class_Lattices_Obounded__lattice| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.68 WARNING:
% 0.45/0.68 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.68 WARNING:
% 0.45/0.68 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.35/1.53
% 1.35/1.53
% 1.35/1.53 #||
% 1.35/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.35/1.53 % SZS output start Refutation
% See solution above
% 1.35/1.53 ||#
% 1.35/1.53
% 1.35/1.53 ; Summary of computation:
% 1.35/1.53 ; 6546 formulas have been input or derived (from 662 formulas).
% 1.35/1.53 ; 2884 (44%) were retained. Of these,
% 1.35/1.53 ; 299 (10%) were simplified or subsumed later,
% 1.35/1.53 ; 2585 (90%) are still being kept.
% 1.35/1.53 ;
% 1.35/1.53 ; Run time in seconds excluding printing time:
% 1.35/1.53 ; 0.187 17% Read assertion file (1 call)
% 1.35/1.53 ; 0.020 2% Assert (1,034 calls)
% 1.35/1.53 ; 0.230 21% Process new row (5,762 calls)
% 1.35/1.53 ; 0.144 13% Resolution (1,322 calls)
% 1.35/1.53 ; 0.010 1% Paramodulation (661 calls)
% 1.35/1.53 ; 0.000 0% Factoring (3 calls)
% 1.35/1.53 ; 0.029 3% Condensing (2,174 calls)
% 1.35/1.53 ; 0.095 9% Forward subsumption (2,174 calls)
% 1.35/1.53 ; 0.053 5% Backward subsumption (1,477 calls)
% 1.35/1.53 ; 0.012 1% Clause clause subsumption (3,509 calls)
% 1.35/1.53 ; 0.152 14% Forward simplification (5,752 calls)
% 1.35/1.53 ; 0.059 5% Backward simplification (2,851 calls)
% 1.35/1.53 ; 0.025 2% Ordering (8,139 calls)
% 1.35/1.53 ; 0.000 0% Sortal reasoning (32 calls)
% 1.35/1.53 ; 0.002 0% Purity testing (1 call)
% 1.35/1.53 ; 0.055 5% Other
% 1.35/1.53 ; 1.073 Total
% 1.35/1.53 ; 1.076 Real time
% 1.35/1.53 ;
% 1.35/1.53 ; Term-hash-array has 5,053 terms in all.
% 1.35/1.53 ; Feature-vector-row-index has 1,386 entries (1,386 at peak, 1,477 added, 91 deleted).
% 1.35/1.53 ; Feature-vector-row-index has 7,185 nodes (7,185 at peak, 7,848 added, 663 deleted).
% 1.35/1.53 ; Retrieved 4,856 possibly forward subsuming rows in 2,174 calls.
% 1.35/1.53 ; Retrieved 1,094 possibly backward subsumed rows in 1,477 calls.
% 1.35/1.53 ; Path-index has 4,559 entries (4,623 at peak, 5,194 added, 635 deleted).
% 1.35/1.53 ; Path-index has 20,299 nodes (20,612 at peak, 22,712 added, 2,413 deleted).
% 1.35/1.53 ; Trie-index has 4,559 entries (4,623 at peak, 5,194 added, 635 deleted).
% 1.35/1.53 ; Trie-index has 28,122 nodes (28,968 at peak, 34,360 added, 6,238 deleted).
% 1.35/1.53 ; Retrieved 21,320 generalization terms in 39,317 calls.
% 1.35/1.53 ; Retrieved 1,908 instance terms in 1,475 calls.
% 1.35/1.53 ; Retrieved 227,038 unifiable terms in 6,353 calls.
% 1.35/1.53 ;
% 1.35/1.53 ; The agenda of backward simplifiable rows to process has 38 entries:
% 1.35/1.53 ; 38 with value 0
% 1.35/1.53 ; The agenda of rows to process has 3 entries:
% 1.35/1.53 ; 3 with value 23
% 1.35/1.53 ; The agenda of input rows to give has 252 entries:
% 1.35/1.53 ; 4 with value 25 4 with value 32 18 with value 39
% 1.35/1.53 ; 20 with value 26 1 with value 33 9 with value 40
% 1.35/1.53 ; 86 with value 27 4 with value 34 1 with value 44
% 1.35/1.53 ; 8 with value 28 5 with value 35 2 with value 46
% 1.35/1.53 ; 9 with value 29 12 with value 36 1 with value 47
% 1.35/1.53 ; 35 with value 30 6 with value 37 1 with value 57
% 1.35/1.53 ; 8 with value 31 18 with value 38
% 1.35/1.53 ; The agenda of rows to give has 1678 entries:
% 1.35/1.53 ; 81 with value (4 6) 76 with value (4 24) 5 with value (4 41)
% 1.35/1.53 ; 8 with value (4 8) 80 with value (4 25) 6 with value (4 42)
% 1.35/1.53 ; 16 with value (4 9) 82 with value (4 26) 9 with value (4 43)
% 1.35/1.53 ; 23 with value (4 10) 51 with value (4 27) 5 with value (4 44)
% 1.35/1.53 ; 17 with value (4 11) 70 with value (4 28) 7 with value (4 45)
% 1.35/1.53 ; 30 with value (4 12) 45 with value (4 29) 5 with value (4 46)
% 1.35/1.53 ; 38 with value (4 13) 55 with value (4 30) 4 with value (4 47)
% 1.35/1.53 ; 42 with value (4 14) 58 with value (4 31) 7 with value (4 48)
% 1.35/1.53 ; 60 with value (4 15) 30 with value (4 32) 2 with value (4 49)
% 1.35/1.53 ; 53 with value (4 16) 38 with value (4 33) 2 with value (4 50)
% 1.35/1.53 ; 76 with value (4 17) 22 with value (4 34) 1 with value (4 52)
% 1.35/1.53 ; 44 with value (4 18) 27 with value (4 35) 1 with value (4 54)
% 1.35/1.53 ; 90 with value (4 19) 36 with value (4 36) 1 with value (4 55)
% 1.35/1.53 ; 71 with value (4 20) 24 with value (4 37) 1 with value (4 62)
% 1.35/1.53 ; 70 with value (4 21) 23 with value (4 38) 1 with value (4 73)
% 1.35/1.53 ; 87 with value (4 22) 25 with value (4 39) 4 with value (4 75)
% 1.35/1.53 ; 43 with value (4 23) 22 with value (4 40) 4 with value (4 109)
% 1.35/1.53 Evaluation took:
% 1.35/1.53 1.077 seconds of real time
% 1.35/1.53 1.004719 seconds of user run time
% 1.35/1.53 0.072141 seconds of system run time
% 1.35/1.53 [Run times include 0.077 seconds GC run time.]
% 1.35/1.53 0 calls to %EVAL
% 1.35/1.53 0 page faults and
% 1.35/1.53 81,832,488 bytes consed.
% 1.35/1.53 :PROOF-FOUND
% 1.35/1.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T22:08:33
% 1.35/1.53 :PROOF-FOUND
% 1.35/1.53 *
%------------------------------------------------------------------------------