TSTP Solution File: ALG339-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 18:00:35 EDT 2022
% Result : Unsatisfiable 15.13s 15.32s
% Output : Refutation 15.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__lbound__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X,Y),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_0) ).
cnf(cls_real__lbound__gt__zero_2,axiom,
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X,Y),Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_2) ).
cnf(cls_real__lbound__gt__zero_1,axiom,
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X,Y),X,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(X,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(975,plain,
c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d1,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_real__lbound__gt__zero_2,cls_conjecture_0,cls_conjecture_1]) ).
cnf(1070,plain,
c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d2,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_real__lbound__gt__zero_1,cls_conjecture_0,cls_conjecture_1]) ).
cnf(1170,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_real__lbound__gt__zero_0,cls_conjecture_0,cls_conjecture_1]) ).
cnf(23910,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,1070,975]),1170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 03:34:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T03:34:25
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-09T03:34:25
% 0.42/0.62 WARNING:
% 0.42/0.62 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62 WARNING:
% 0.42/0.62 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 15.13/15.32
% 15.13/15.32
% 15.13/15.32 #||
% 15.13/15.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.13/15.32 % SZS output start Refutation
% See solution above
% 15.13/15.32 ||#
% 15.13/15.32
% 15.13/15.32 ; Summary of computation:
% 15.13/15.32 ; 90741 formulas have been input or derived (from 594 formulas).
% 15.13/15.32 ; 23910 (26%) were retained. Of these,
% 15.13/15.32 ; 283 ( 1%) were simplified or subsumed later,
% 15.13/15.32 ; 23627 (99%) are still being kept.
% 15.13/15.32 ;
% 15.13/15.32 ; Run time in seconds excluding printing time:
% 15.13/15.32 ; 0.111 1% Read assertion file (1 call)
% 15.13/15.32 ; 0.010 0% Assert (546 calls)
% 15.13/15.32 ; 1.980 13% Process new row (83,741 calls)
% 15.13/15.32 ; 6.029 41% Resolution (1,186 calls)
% 15.13/15.32 ; 0.023 0% Paramodulation (593 calls)
% 15.13/15.32 ; 0.001 0% Factoring (4 calls)
% 15.13/15.32 ; 0.072 0% Condensing (8,250 calls)
% 15.13/15.32 ; 2.702 18% Forward subsumption (8,250 calls)
% 15.13/15.32 ; 0.954 6% Backward subsumption (5,304 calls)
% 15.13/15.32 ; 0.349 2% Clause clause subsumption (105,319 calls)
% 15.13/15.32 ; 1.876 13% Forward simplification (83,737 calls)
% 15.13/15.32 ; 0.199 1% Backward simplification (23,910 calls)
% 15.13/15.32 ; 0.219 1% Ordering (46,024 calls)
% 15.13/15.32 ; 0.001 0% Sortal reasoning (32 calls)
% 15.13/15.32 ; 0.001 0% Purity testing (1 call)
% 15.13/15.32 ; 0.309 2% Other
% 15.13/15.32 ; 14.836 Total
% 15.13/15.32 ; 14.838 Real time
% 15.13/15.32 ;
% 15.13/15.33 ; Term-hash-array has 39,210 terms in all.
% 15.13/15.33 ; Feature-vector-row-index has 5,273 entries (5,273 at peak, 5,304 added, 31 deleted).
% 15.13/15.33 ; Feature-vector-row-index has 26,703 nodes (26,703 at peak, 26,844 added, 141 deleted).
% 15.13/15.33 ; Retrieved 144,345 possibly forward subsuming rows in 8,250 calls.
% 15.13/15.33 ; Retrieved 39,582 possibly backward subsumed rows in 5,304 calls.
% 15.13/15.33 ; Path-index has 38,626 entries (38,626 at peak, 39,314 added, 688 deleted).
% 15.13/15.33 ; Path-index has 15,146 nodes (15,146 at peak, 15,695 added, 549 deleted).
% 15.13/15.33 ; Trie-index has 38,626 entries (38,626 at peak, 39,314 added, 688 deleted).
% 15.13/15.33 ; Trie-index has 177,177 nodes (177,177 at peak, 183,672 added, 6,495 deleted).
% 15.13/15.33 ; Retrieved 223,350 generalization terms in 311,679 calls.
% 15.13/15.33 ; Retrieved 19,770 instance terms in 18,845 calls.
% 15.13/15.33 ; Retrieved 12,956,180 unifiable terms in 47,235 calls.
% 15.13/15.33 ;
% 15.13/15.33 ; The agenda of rows to process has 840 entries:
% 15.13/15.33 ; 3 with value 12 12 with value 24 1 with value 35
% 15.13/15.33 ; 14 with value 13 6 with value 25 2 with value 36
% 15.13/15.33 ; 30 with value 15 1 with value 26 6 with value 45
% 15.13/15.33 ; 1 with value 16 7 with value 27 13 with value 47
% 15.13/15.33 ; 104 with value 17 1 with value 28 1 with value 48
% 15.13/15.33 ; 54 with value 18 28 with value 29 1 with value 49
% 15.13/15.33 ; 508 with value 19 1 with value 30 2 with value 52
% 15.13/15.33 ; 4 with value 20 2 with value 31 1 with value 55
% 15.13/15.33 ; 10 with value 21 8 with value 32 4 with value 57
% 15.13/15.33 ; 2 with value 22 5 with value 33 2 with value 60
% 15.13/15.33 ; 6 with value 23
% 15.13/15.33 ; The agenda of rows to give has 23034 entries:
% 15.13/15.33 ; 11 with value (4 9) 187 with value (4 26) 58 with value (4 42)
% 15.13/15.33 ; 193 with value (4 10) 72 with value (4 27) 78 with value (4 43)
% 15.13/15.33 ; 222 with value (4 11) 325 with value (4 28) 114 with value (4 44)
% 15.13/15.33 ; 554 with value (4 12) 479 with value (4 29) 407 with value (4 45)
% 15.13/15.33 ; 1261 with value (4 13) 106 with value (4 30) 21 with value (4 46)
% 15.13/15.33 ; 1624 with value (4 14) 141 with value (4 31) 808 with value (4 47)
% 15.13/15.33 ; 2644 with value (4 15) 443 with value (4 32) 5 with value (4 48)
% 15.13/15.33 ; 653 with value (4 16) 176 with value (4 33) 88 with value (4 49)
% 15.13/15.33 ; 1647 with value (4 17) 117 with value (4 34) 2 with value (4 50)
% 15.13/15.33 ; 1256 with value (4 18) 211 with value (4 35) 6 with value (4 51)
% 15.13/15.33 ; 6335 with value (4 19) 208 with value (4 36) 61 with value (4 52)
% 15.13/15.33 ; 141 with value (4 20) 108 with value (4 37) 6 with value (4 54)
% 15.13/15.33 ; 540 with value (4 21) 135 with value (4 38) 1 with value (4 55)
% 15.13/15.33 ; 250 with value (4 22) 73 with value (4 39) 73 with value (4 57)
% 15.13/15.33 ; 279 with value (4 23) 49 with value (4 40) 122 with value (4 60)
% 15.13/15.33 ; 360 with value (4 24) 96 with value (4 41) 8 with value (4 61)
% 15.13/15.33 ; 280 with value (4 25)
% 15.13/15.33 Evaluation took:
% 15.13/15.33 14.842 seconds of real time
% 15.13/15.33 13.953724 seconds of user run time
% 15.13/15.33 0.888578 seconds of system run time
% 15.13/15.33 [Run times include 2.09 seconds GC run time.]
% 15.13/15.33 0 calls to %EVAL
% 15.13/15.33 0 page faults and
% 15.13/15.33 960,754,640 bytes consed.
% 15.13/15.33 :PROOF-FOUND
% 15.13/15.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T03:34:40
% 15.13/15.33 :PROOF-FOUND
% 15.13/15.33 *
%------------------------------------------------------------------------------