TSTP Solution File: SWV678-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV678-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : Wed Jul 20 21:35:40 EDT 2022
% Result : Unsatisfiable 2.31s 2.48s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 13 ( 6 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_nz_0,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
cnf(cls_power__diff_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_Power_Opower__class_Opower(Y,c_HOL_Ominus__class_Ominus(Z,U,tc_nat),X) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(Y,Z,X),c_Power_Opower__class_Opower(Y,U,X),X)
| ~ c_lessequals(U,Z,tc_nat)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff_0) ).
cnf(cls_True_0,axiom,
c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(376,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_True_0]) ).
cnf(419,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference('REWRITE',[status(thm)],[cls_nz_0,tfree_tcs]) ).
cnf(2918,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_power__diff_0,tfree_tcs,376,cls_True_0,419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV678-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 17:33:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:33:25
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-15T17:33:25
% 0.41/0.60
% 0.41/0.60 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_SEQ_Obanach| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.62 WARNING:
% 0.41/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.31/2.48 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.31/2.48
% 2.31/2.48 #||
% 2.31/2.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.31/2.48 % SZS output start Refutation
% See solution above
% 2.31/2.49 ||#
% 2.31/2.49
% 2.31/2.49 ; Summary of computation:
% 2.31/2.49 ; 15871 formulas have been input or derived (from 404 formulas).
% 2.31/2.49 ; 2918 (18%) were retained. Of these,
% 2.31/2.49 ; 54 ( 2%) were simplified or subsumed later,
% 2.31/2.49 ; 2864 (98%) are still being kept.
% 2.31/2.49 ;
% 2.31/2.49 ; Run time in seconds excluding printing time:
% 2.31/2.49 ; 0.122 6% Read assertion file (1 call)
% 2.31/2.49 ; 0.012 1% Assert (687 calls)
% 2.31/2.49 ; 0.237 12% Process new row (14,269 calls)
% 2.31/2.49 ; 0.330 16% Resolution (806 calls)
% 2.31/2.49 ; 0.022 1% Paramodulation (403 calls)
% 2.31/2.49 ; 0.000 0% Factoring (12 calls)
% 2.31/2.49 ; 0.054 3% Condensing (6,461 calls)
% 2.31/2.49 ; 0.548 27% Forward subsumption (6,461 calls)
% 2.31/2.49 ; 0.093 5% Backward subsumption (2,101 calls)
% 2.31/2.49 ; 0.154 8% Clause clause subsumption (29,116 calls)
% 2.31/2.49 ; 0.302 15% Forward simplification (14,119 calls)
% 2.31/2.49 ; 0.008 0% Backward simplification (2,917 calls)
% 2.31/2.49 ; 0.043 2% Ordering (22,078 calls)
% 2.31/2.49 ; 0.000 0% Sortal reasoning (32 calls)
% 2.31/2.49 ; 0.002 0% Purity testing (1 call)
% 2.31/2.49 ; 0.082 4% Other
% 2.31/2.49 ; 2.009 Total
% 2.31/2.49 ; 2.020 Real time
% 2.31/2.49 ;
% 2.31/2.49 ; Term-hash-array has 4,239 terms in all.
% 2.31/2.49 ; Feature-vector-row-index has 2,073 entries (2,073 at peak, 2,101 added, 28 deleted).
% 2.31/2.49 ; Feature-vector-row-index has 7,765 nodes (7,765 at peak, 7,850 added, 85 deleted).
% 2.31/2.49 ; Retrieved 65,346 possibly forward subsuming rows in 6,461 calls.
% 2.31/2.49 ; Retrieved 2,990 possibly backward subsumed rows in 2,101 calls.
% 2.31/2.49 ; Path-index has 4,191 entries (4,191 at peak, 4,259 added, 68 deleted).
% 2.31/2.49 ; Path-index has 6,770 nodes (6,770 at peak, 6,799 added, 29 deleted).
% 2.31/2.49 ; Trie-index has 4,191 entries (4,191 at peak, 4,259 added, 68 deleted).
% 2.31/2.49 ; Trie-index has 15,764 nodes (15,764 at peak, 15,999 added, 235 deleted).
% 2.31/2.49 ; Retrieved 65,325 generalization terms in 74,444 calls.
% 2.31/2.49 ; Retrieved 1,992 instance terms in 933 calls.
% 2.31/2.49 ; Retrieved 505,371 unifiable terms in 6,152 calls.
% 2.31/2.49 ;
% 2.31/2.49 ; The agenda of rows to process has 29 entries:
% 2.31/2.49 ; 1 with value 4 2 with value 28 2 with value 33
% 2.31/2.49 ; 1 with value 6 4 with value 29 4 with value 35
% 2.31/2.49 ; 1 with value 7 2 with value 30 5 with value 36
% 2.31/2.49 ; 2 with value 22 1 with value 31 2 with value 41
% 2.31/2.49 ; 1 with value 25 1 with value 32
% 2.31/2.49 ; The agenda of input rows to give has 3 entries:
% 2.31/2.49 ; 1 with value 37 1 with value 39 1 with value 43
% 2.31/2.49 ; The agenda of rows to give has 2457 entries:
% 2.31/2.49 ; 21 with value (4 4) 208 with value (4 26) 10 with value (4 45)
% 2.31/2.49 ; 1 with value (4 6) 77 with value (4 27) 18 with value (4 46)
% 2.31/2.49 ; 8 with value (4 8) 78 with value (4 28) 13 with value (4 47)
% 2.31/2.49 ; 5 with value (4 9) 101 with value (4 29) 11 with value (4 48)
% 2.31/2.49 ; 16 with value (4 10) 68 with value (4 30) 15 with value (4 49)
% 2.31/2.49 ; 20 with value (4 11) 47 with value (4 31) 6 with value (4 50)
% 2.31/2.49 ; 24 with value (4 12) 95 with value (4 32) 8 with value (4 51)
% 2.31/2.49 ; 58 with value (4 13) 28 with value (4 33) 9 with value (4 52)
% 2.31/2.49 ; 41 with value (4 14) 33 with value (4 34) 5 with value (4 53)
% 2.31/2.49 ; 60 with value (4 15) 59 with value (4 35) 6 with value (4 54)
% 2.31/2.49 ; 64 with value (4 16) 27 with value (4 36) 9 with value (4 55)
% 2.31/2.49 ; 121 with value (4 17) 36 with value (4 37) 4 with value (4 56)
% 2.31/2.49 ; 80 with value (4 18) 48 with value (4 38) 2 with value (4 57)
% 2.31/2.49 ; 108 with value (4 19) 23 with value (4 39) 4 with value (4 58)
% 2.31/2.49 ; 140 with value (4 20) 33 with value (4 40) 6 with value (4 59)
% 2.31/2.49 ; 74 with value (4 21) 27 with value (4 41) 2 with value (4 60)
% 2.31/2.49 ; 120 with value (4 22) 11 with value (4 42) 6 with value (4 62)
% 2.31/2.49 ; 136 with value (4 23) 17 with value (4 43) 4 with value (4 65)
% 2.31/2.49 ; 99 with value (4 24) 11 with value (4 44) 4 with value (4 68)
% 2.31/2.49 ; 92 with value (4 25)
% 2.31/2.49 Evaluation took:
% 2.31/2.49 2.02 seconds of real time
% 2.31/2.49 1.84442 seconds of user run time
% 2.31/2.49 0.176116 seconds of system run time
% 2.31/2.49 [Run times include 0.151 seconds GC run time.]
% 2.31/2.49 0 calls to %EVAL
% 2.31/2.49 0 page faults and
% 2.31/2.49 176,513,936 bytes consed.
% 2.31/2.49 :PROOF-FOUND
% 2.31/2.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:33:27
% 2.31/2.49 :PROOF-FOUND
% 2.31/2.49 *
%------------------------------------------------------------------------------