TSTP Solution File: ALG377-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG377-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 18:00:40 EDT 2022
% Result : Unsatisfiable 0.91s 1.16s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__le__refl_0,axiom,
c_lessequals(X,X,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__refl_0) ).
cnf(cls_add__mono_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X)
| c_lessequals(c_HOL_Oplus__class_Oplus(Y,Z,X),c_HOL_Oplus__class_Oplus(U,V,X),X)
| ~ c_lessequals(Z,V,X)
| ~ c_lessequals(Y,U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__mono_0) ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(1435,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X,c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_add__mono_0,cls_CHAINED_0,clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,cls_real__le__refl_0]) ).
cnf(1436,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,1435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG377-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 05:38:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 2022-06-08T05:38:36
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T05:38:36
% 0.18/0.59
% 0.18/0.59 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.42/0.60 WARNING:
% 0.42/0.60 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.60 WARNING:
% 0.42/0.60 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.16 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.91/1.16
% 0.91/1.16 #||
% 0.91/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.16 % SZS output start Refutation
% See solution above
% 0.91/1.16 ||#
% 0.91/1.16
% 0.91/1.16 ; Summary of computation:
% 0.91/1.16 ; 5678 formulas have been input or derived (from 457 formulas).
% 0.91/1.16 ; 1436 (25%) were retained. Of these,
% 0.91/1.16 ; 78 ( 5%) were simplified or subsumed later,
% 0.91/1.16 ; 1358 (95%) are still being kept.
% 0.91/1.16 ;
% 0.91/1.16 ; Run time in seconds excluding printing time:
% 0.91/1.16 ; 0.115 16% Read assertion file (1 call)
% 0.91/1.16 ; 0.010 1% Assert (559 calls)
% 0.91/1.16 ; 0.112 16% Process new row (4,800 calls)
% 0.91/1.16 ; 0.121 17% Resolution (912 calls)
% 0.91/1.16 ; 0.014 2% Paramodulation (456 calls)
% 0.91/1.16 ; 0.000 0% Factoring (6 calls)
% 0.91/1.16 ; 0.028 4% Condensing (1,924 calls)
% 0.91/1.16 ; 0.056 8% Forward subsumption (1,924 calls)
% 0.91/1.16 ; 0.023 3% Backward subsumption (874 calls)
% 0.91/1.16 ; 0.027 4% Clause clause subsumption (4,558 calls)
% 0.91/1.16 ; 0.117 17% Forward simplification (4,796 calls)
% 0.91/1.16 ; 0.018 3% Backward simplification (1,435 calls)
% 0.91/1.16 ; 0.017 2% Ordering (7,923 calls)
% 0.91/1.16 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.16 ; 0.001 0% Purity testing (1 call)
% 0.91/1.16 ; 0.043 6% Other
% 0.91/1.16 ; 0.702 Total
% 0.91/1.16 ; 0.704 Real time
% 0.91/1.16 ;
% 0.91/1.16 ; Term-hash-array has 2,231 terms in all.
% 0.91/1.16 ; Feature-vector-row-index has 838 entries (838 at peak, 874 added, 36 deleted).
% 0.91/1.16 ; Feature-vector-row-index has 3,497 nodes (3,497 at peak, 3,802 added, 305 deleted).
% 0.91/1.16 ; Retrieved 6,894 possibly forward subsuming rows in 1,924 calls.
% 0.91/1.16 ; Retrieved 705 possibly backward subsumed rows in 874 calls.
% 0.91/1.16 ; Path-index has 2,137 entries (2,142 at peak, 2,258 added, 121 deleted).
% 0.91/1.16 ; Path-index has 4,627 nodes (4,634 at peak, 4,743 added, 116 deleted).
% 0.91/1.16 ; Trie-index has 2,137 entries (2,142 at peak, 2,258 added, 121 deleted).
% 0.91/1.16 ; Trie-index has 8,158 nodes (8,216 at peak, 8,768 added, 610 deleted).
% 0.91/1.16 ; Retrieved 14,667 generalization terms in 21,432 calls.
% 0.91/1.16 ; Retrieved 1,117 instance terms in 601 calls.
% 0.91/1.16 ; Retrieved 189,152 unifiable terms in 5,705 calls.
% 0.91/1.16 ;
% 0.91/1.16 ; The agenda of rows to process has 87 entries:
% 0.91/1.16 ; 10 with value 39 9 with value 46 1 with value 60
% 0.91/1.16 ; 1 with value 40 2 with value 47 5 with value 62
% 0.91/1.16 ; 23 with value 41 2 with value 49 1 with value 63
% 0.91/1.16 ; 8 with value 42 4 with value 51 1 with value 68
% 0.91/1.16 ; 10 with value 43 4 with value 52 1 with value 69
% 0.91/1.16 ; 4 with value 44 1 with value 54
% 0.91/1.16 ; The agenda of input rows to give has 18 entries:
% 0.91/1.16 ; 2 with value 32 1 with value 38 1 with value 40
% 0.91/1.16 ; 1 with value 34 4 with value 39 1 with value 43
% 0.91/1.16 ; 8 with value 36
% 0.91/1.16 ; The agenda of rows to give has 889 entries:
% 0.91/1.16 ; 1 with value (4 4) 48 with value (4 18) 18 with value (4 30)
% 0.91/1.16 ; 1 with value (4 6) 57 with value (4 19) 19 with value (4 31)
% 0.91/1.16 ; 5 with value (4 8) 49 with value (4 20) 15 with value (4 32)
% 0.91/1.16 ; 9 with value (4 9) 42 with value (4 21) 12 with value (4 33)
% 0.91/1.16 ; 13 with value (4 10) 42 with value (4 22) 7 with value (4 34)
% 0.91/1.16 ; 31 with value (4 11) 45 with value (4 23) 6 with value (4 35)
% 0.91/1.16 ; 36 with value (4 12) 23 with value (4 24) 3 with value (4 36)
% 0.91/1.16 ; 39 with value (4 13) 47 with value (4 25) 6 with value (4 37)
% 0.91/1.16 ; 22 with value (4 14) 57 with value (4 26) 2 with value (4 38)
% 0.91/1.16 ; 51 with value (4 15) 22 with value (4 27) 3 with value (4 39)
% 0.91/1.16 ; 55 with value (4 16) 16 with value (4 28) 3 with value (4 40)
% 0.91/1.16 ; 56 with value (4 17) 27 with value (4 29) 1 with value (4 44)
% 0.91/1.16 Evaluation took:
% 0.91/1.16 0.704 seconds of real time
% 0.91/1.16 0.645093 seconds of user run time
% 0.91/1.16 0.058973 seconds of system run time
% 0.91/1.16 [Run times include 0.026 seconds GC run time.]
% 0.91/1.16 0 calls to %EVAL
% 0.91/1.16 0 page faults and
% 0.91/1.16 49,032,344 bytes consed.
% 0.91/1.16 :PROOF-FOUND
% 0.91/1.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T05:38:36
% 0.91/1.16 :PROOF-FOUND
% 0.91/1.16 *
%------------------------------------------------------------------------------