%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG362-1 : 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 18:00:38 EDT 2022
% Result : Unsatisfiable 5.90s 6.13s
% Output : Refutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 21 unt; 0 nHn; 15 RR)
% Number of literals : 34 ( 7 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 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 : 25 ( 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_sin__zero_0,axiom,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__zero_0) ).
cnf(cls_add__increasing2_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X)
| ~ class_OrderedGroup_Ocomm__monoid__add(X)
| c_lessequals(Y,c_HOL_Oplus__class_Oplus(Z,U,X),X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing2_0) ).
cnf(cls_sin__le__one_0,axiom,
c_lessequals(c_Transcendental_Osin(X),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__le__one_0) ).
cnf(cls_complex__Re__one_0,axiom,
c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Re__one_0) ).
cnf(cls_abs__Re__le__cmod_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__Re__le__cmod_0) ).
cnf(cls_r_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,X),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r_0) ).
cnf(cls_order__trans_0,axiom,
( ~ class_Orderings_Opreorder(X)
| c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Z,X)
| ~ c_lessequals(Y,U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(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_comm__monoid__add_Omult__commute_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(598,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_complex__Re__one_0,theory(equality)]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(742,plain,
c_lessequals(c_Transcendental_Osin(X),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_sin__le__one_0,cls_complex__Re__one_0,theory(equality)]) ).
cnf(750,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
inference('PARAMODULATE',[status(thm)],[742,cls_sin__zero_0,theory(equality)]) ).
cnf(876,plain,
c_HOL_Oplus__class_Oplus(X,Y,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(Y,X,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_comm__monoid__add_Omult__commute_0,clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add]) ).
cnf(995,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X,Y,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_diff__minus__eq__add_0,clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).
cnf(1008,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_r,c_HOL_Ouminus__class_Ouminus(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[598,995,theory(equality)]) ).
cnf(1035,plain,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[876,995,theory(equality)]) ).
cnf(1036,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1008,1035,theory(equality)]) ).
cnf(1230,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,v_n____),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('UR-RESOLVE',[status(thm)],[cls_order__trans_0,1036,clsarity_RealDef__Oreal__Orderings_Opreorder,cls_abs__Re__le__cmod_0]) ).
cnf(4098,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,X),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_add__increasing2_0,750,clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,cls_r_0]),1035,995,theory(equality)]) ).
cnf(4099,plain,
$false,
inference('REWRITE',[status(thm)],[1230,4098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG362-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % 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 : Wed Jun 8 23:00:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T23:00:06
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-08T23:00:06
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 5.90/6.13
% 5.90/6.13
% 5.90/6.13 #||
% 5.90/6.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.90/6.13 % SZS output start Refutation
% See solution above
% 5.90/6.15 ||#
% 5.90/6.15
% 5.90/6.15 ; Summary of computation:
% 5.90/6.15 ; 37391 formulas have been input or derived (from 738 formulas).
% 5.90/6.15 ; 4099 (11%) were retained. Of these,
% 5.90/6.15 ; 797 (19%) were simplified or subsumed later,
% 5.90/6.15 ; 3302 (81%) are still being kept.
% 5.90/6.15 ;
% 5.90/6.15 ; Run time in seconds excluding printing time:
% 5.90/6.15 ; 0.142 3% Read assertion file (1 call)
% 5.90/6.15 ; 0.014 0% Assert (800 calls)
% 5.90/6.15 ; 0.551 10% Process new row (28,514 calls)
% 5.90/6.15 ; 1.265 22% Resolution (1,474 calls)
% 5.90/6.15 ; 0.018 0% Paramodulation (737 calls)
% 5.90/6.15 ; 0.000 0% Factoring (2 calls)
% 5.90/6.15 ; 0.127 2% Condensing (10,247 calls)
% 5.90/6.15 ; 1.527 27% Forward subsumption (10,247 calls)
% 5.90/6.15 ; 0.219 4% Backward subsumption (2,312 calls)
% 5.90/6.15 ; 0.358 6% Clause clause subsumption (45,818 calls)
% 5.90/6.15 ; 1.074 19% Forward simplification (28,510 calls)
% 5.90/6.15 ; 0.086 2% Backward simplification (4,091 calls)
% 5.90/6.15 ; 0.178 3% Ordering (56,988 calls)
% 5.90/6.15 ; 0.000 0% Sortal reasoning (32 calls)
% 5.90/6.15 ; 0.002 0% Purity testing (1 call)
% 5.90/6.15 ; 0.106 2% Other
% 5.90/6.15 ; 5.667 Total
% 5.90/6.15 ; 5.683 Real time
% 5.90/6.15 ;
% 5.90/6.15 ; Term-hash-array has 7,816 terms in all.
% 5.90/6.15 ; Feature-vector-row-index has 1,723 entries (1,723 at peak, 2,312 added, 589 deleted).
% 5.90/6.15 ; Feature-vector-row-index has 9,163 nodes (10,201 at peak, 15,672 added, 6,509 deleted).
% 5.90/6.15 ; Retrieved 142,289 possibly forward subsuming rows in 10,247 calls.
% 5.90/6.15 ; Retrieved 7,825 possibly backward subsumed rows in 2,312 calls.
% 5.90/6.15 ; Path-index has 6,209 entries (6,211 at peak, 8,142 added, 1,933 deleted).
% 5.90/6.15 ; Path-index has 15,076 nodes (15,078 at peak, 16,356 added, 1,280 deleted).
% 5.90/6.15 ; Trie-index has 6,209 entries (6,211 at peak, 8,142 added, 1,933 deleted).
% 5.90/6.15 ; Trie-index has 38,210 nodes (38,223 at peak, 48,126 added, 9,916 deleted).
% 5.90/6.15 ; Retrieved 163,069 generalization terms in 242,097 calls.
% 5.90/6.15 ; Retrieved 3,094 instance terms in 1,820 calls.
% 5.90/6.15 ; Retrieved 2,088,661 unifiable terms in 25,680 calls.
% 5.90/6.15 ;
% 5.90/6.15 ; The agenda of rows to process has 4368 entries:
% 5.90/6.15 ; 39 with value 19 98 with value 38 1 with value 56
% 5.90/6.15 ; 53 with value 20 114 with value 39 8 with value 57
% 5.90/6.15 ; 151 with value 21 54 with value 40 3 with value 58
% 5.90/6.15 ; 333 with value 22 22 with value 41 12 with value 59
% 5.90/6.15 ; 429 with value 23 16 with value 42 2 with value 60
% 5.90/6.15 ; 296 with value 24 52 with value 43 6 with value 61
% 5.90/6.15 ; 253 with value 25 22 with value 44 1 with value 62
% 5.90/6.15 ; 197 with value 26 47 with value 45 1 with value 63
% 5.90/6.15 ; 188 with value 27 11 with value 46 1 with value 64
% 5.90/6.15 ; 133 with value 28 20 with value 47 12 with value 65
% 5.90/6.15 ; 239 with value 29 8 with value 48 1 with value 67
% 5.90/6.15 ; 319 with value 30 2 with value 49 4 with value 69
% 5.90/6.15 ; 294 with value 31 5 with value 50 9 with value 76
% 5.90/6.15 ; 216 with value 32 16 with value 51 4 with value 77
% 5.90/6.15 ; 135 with value 33 16 with value 52 7 with value 78
% 5.90/6.15 ; 95 with value 34 8 with value 53 3 with value 79
% 5.90/6.15 ; 163 with value 35 16 with value 54 16 with value 84
% 5.90/6.15 ; 72 with value 36 2 with value 55 1 with value 86
% 5.90/6.15 ; 142 with value 37
% 5.90/6.15 ; The agenda of rows to give has 2569 entries:
% 5.90/6.15 ; 40 with value (4 11) 32 with value (4 36) 3 with value (4 61)
% 5.90/6.15 ; 39 with value (4 12) 37 with value (4 37) 1 with value (4 62)
% 5.90/6.15 ; 55 with value (4 13) 27 with value (4 38) 5 with value (4 63)
% 5.90/6.15 ; 62 with value (4 14) 17 with value (4 39) 6 with value (4 64)
% 5.90/6.15 ; 92 with value (4 15) 33 with value (4 40) 5 with value (4 65)
% 5.90/6.15 ; 57 with value (4 16) 16 with value (4 41) 3 with value (4 66)
% 5.90/6.15 ; 129 with value (4 17) 13 with value (4 42) 5 with value (4 67)
% 5.90/6.15 ; 106 with value (4 18) 24 with value (4 43) 5 with value (4 68)
% 5.90/6.15 ; 123 with value (4 19) 16 with value (4 44) 6 with value (4 69)
% 5.90/6.15 ; 152 with value (4 20) 9 with value (4 45) 1 with value (4 70)
% 5.90/6.15 ; 97 with value (4 21) 7 with value (4 46) 2 with value (4 72)
% 5.90/6.15 ; 135 with value (4 22) 17 with value (4 47) 3 with value (4 74)
% 5.90/6.15 ; 147 with value (4 23) 6 with value (4 48) 1 with value (4 75)
% 5.90/6.15 ; 101 with value (4 24) 18 with value (4 49) 6 with value (4 77)
% 5.90/6.15 ; 130 with value (4 25) 6 with value (4 50) 1 with value (4 78)
% 5.90/6.15 ; 105 with value (4 26) 7 with value (4 51) 2 with value (4 79)
% 5.90/6.15 ; 115 with value (4 27) 2 with value (4 52) 2 with value (4 80)
% 5.90/6.15 ; 87 with value (4 28) 11 with value (4 53) 1 with value (4 82)
% 5.90/6.15 ; 71 with value (4 29) 8 with value (4 54) 2 with value (4 84)
% 5.90/6.15 ; 111 with value (4 30) 7 with value (4 55) 1 with value (4 86)
% 5.90/6.15 ; 50 with value (4 31) 8 with value (4 56) 1 with value (4 104)
% 5.90/6.15 ; 45 with value (4 32) 8 with value (4 57) 1 with value (4 143)
% 5.90/6.15 ; 51 with value (4 33) 2 with value (4 58) 2 with value (4 144)
% 5.90/6.15 ; 21 with value (4 34) 6 with value (4 59) 1 with value (4 166)
% 5.90/6.15 ; 41 with value (4 35) 3 with value (4 60) 1 with value (4 230)
% 5.90/6.15 Evaluation took:
% 5.90/6.15 5.685 seconds of real time
% 5.99/6.15 5.319894 seconds of user run time
% 5.99/6.15 0.364756 seconds of system run time
% 5.99/6.15 [Run times include 0.6 seconds GC run time.]
% 5.99/6.15 0 calls to %EVAL
% 5.99/6.15 0 page faults and
% 5.99/6.15 516,993,464 bytes consed.
% 5.99/6.15 :PROOF-FOUND
% 5.99/6.15 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T23:00:12
% 5.99/6.15 :PROOF-FOUND
% 5.99/6.15 *
%------------------------------------------------------------------------------