TSTP Solution File: SWV679-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 2.16s 2.37s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 9 RR)
% Number of literals : 20 ( 9 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 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/sandbox2/benchmark/theBenchmark.p',cls_nz_0) ).
cnf(cls_inverse__eq__divide_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_HOL_Oinverse__class_Oinverse(Y,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X),Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(cls_power__diff__inverse_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(Y,X),c_HOL_Ominus__class_Ominus(Z,U,tc_nat),X) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(Y,U,X),c_Power_Opower__class_Opower(Y,Z,X),X)
| ~ c_lessequals(U,Z,tc_nat)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X,Y,tc_nat)
| c_lessequals(Y,X,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(cls_False_0,axiom,
~ c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_False_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,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(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| c_lessequals(v_n,v_m,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
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(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_False_0]) ).
cnf(419,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference('REWRITE',[status(thm)],[cls_nz_0,tfree_tcs]) ).
cnf(445,plain,
c_lessequals(v_m,v_n,tc_nat),
inference('HYPERRESOLVE',[status(thm)],[cls_False_0,cls_nat__le__linear_0]) ).
cnf(669,plain,
c_HOL_Oinverse__class_Oinverse(X,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_inverse__eq__divide_0,tfree_tcs]) ).
cnf(670,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(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference('REWRITE',[status(thm)],[376,669,theory(equality)]) ).
cnf(2817,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_power__diff__inverse_0,tfree_tcs,670,419]),445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 15 21:54:18 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 *
% 0.18/0.46 #<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/sandbox2/benchmark/theBenchmark.p 2022-06-15T21:54:18
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-15T21:54:18
% 0.36/0.60
% 0.36/0.60 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_SEQ_Obanach| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.61 WARNING:
% 0.36/0.61 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.16/2.37 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.16/2.37
% 2.16/2.37 #||
% 2.16/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.16/2.37 % SZS output start Refutation
% See solution above
% 2.16/2.37 ||#
% 2.16/2.37
% 2.16/2.37 ; Summary of computation:
% 2.16/2.37 ; 15354 formulas have been input or derived (from 405 formulas).
% 2.16/2.37 ; 2817 (18%) were retained. Of these,
% 2.16/2.37 ; 53 ( 2%) were simplified or subsumed later,
% 2.16/2.37 ; 2764 (98%) are still being kept.
% 2.16/2.37 ;
% 2.16/2.37 ; Run time in seconds excluding printing time:
% 2.16/2.37 ; 0.124 6% Read assertion file (1 call)
% 2.16/2.37 ; 0.013 1% Assert (687 calls)
% 2.16/2.37 ; 0.219 11% Process new row (13,680 calls)
% 2.16/2.37 ; 0.300 16% Resolution (808 calls)
% 2.16/2.37 ; 0.029 2% Paramodulation (404 calls)
% 2.16/2.37 ; 0.000 0% Factoring (12 calls)
% 2.16/2.37 ; 0.066 3% Condensing (6,287 calls)
% 2.16/2.37 ; 0.499 26% Forward subsumption (6,287 calls)
% 2.16/2.37 ; 0.058 3% Backward subsumption (2,039 calls)
% 2.16/2.37 ; 0.127 7% Clause clause subsumption (28,401 calls)
% 2.16/2.37 ; 0.342 18% Forward simplification (13,530 calls)
% 2.16/2.37 ; 0.011 1% Backward simplification (2,816 calls)
% 2.16/2.38 ; 0.049 3% Ordering (21,570 calls)
% 2.16/2.38 ; 0.000 0% Sortal reasoning (32 calls)
% 2.16/2.38 ; 0.002 0% Purity testing (1 call)
% 2.16/2.38 ; 0.072 4% Other
% 2.16/2.38 ; 1.911 Total
% 2.16/2.38 ; 1.913 Real time
% 2.16/2.38 ;
% 2.16/2.38 ; Term-hash-array has 4,072 terms in all.
% 2.16/2.38 ; Feature-vector-row-index has 2,011 entries (2,011 at peak, 2,039 added, 28 deleted).
% 2.16/2.38 ; Feature-vector-row-index has 7,357 nodes (7,357 at peak, 7,442 added, 85 deleted).
% 2.16/2.38 ; Retrieved 64,149 possibly forward subsuming rows in 6,287 calls.
% 2.16/2.38 ; Retrieved 2,923 possibly backward subsumed rows in 2,039 calls.
% 2.16/2.38 ; Path-index has 4,025 entries (4,025 at peak, 4,095 added, 70 deleted).
% 2.16/2.38 ; Path-index has 6,776 nodes (6,776 at peak, 6,832 added, 56 deleted).
% 2.16/2.38 ; Trie-index has 4,025 entries (4,025 at peak, 4,095 added, 70 deleted).
% 2.16/2.38 ; Trie-index has 15,063 nodes (15,063 at peak, 15,324 added, 261 deleted).
% 2.16/2.38 ; Retrieved 62,974 generalization terms in 72,236 calls.
% 2.16/2.38 ; Retrieved 1,933 instance terms in 896 calls.
% 2.16/2.38 ; Retrieved 480,483 unifiable terms in 6,112 calls.
% 2.16/2.38 ;
% 2.16/2.38 ; The agenda of rows to process has 23 entries:
% 2.16/2.38 ; 1 with value 24 1 with value 32 4 with value 37
% 2.16/2.38 ; 1 with value 27 1 with value 33 5 with value 38
% 2.16/2.38 ; 1 with value 30 1 with value 34 2 with value 43
% 2.16/2.38 ; 4 with value 31 2 with value 35
% 2.16/2.38 ; The agenda of input rows to give has 2 entries:
% 2.16/2.38 ; 1 with value 39 1 with value 43
% 2.16/2.38 ; The agenda of rows to give has 2357 entries:
% 2.16/2.38 ; 21 with value (4 4) 208 with value (4 26) 10 with value (4 45)
% 2.16/2.38 ; 3 with value (4 6) 73 with value (4 27) 18 with value (4 46)
% 2.16/2.38 ; 9 with value (4 8) 76 with value (4 28) 13 with value (4 47)
% 2.16/2.38 ; 5 with value (4 9) 102 with value (4 29) 11 with value (4 48)
% 2.16/2.38 ; 13 with value (4 10) 68 with value (4 30) 15 with value (4 49)
% 2.16/2.38 ; 19 with value (4 11) 47 with value (4 31) 6 with value (4 50)
% 2.16/2.38 ; 22 with value (4 12) 93 with value (4 32) 8 with value (4 51)
% 2.16/2.38 ; 50 with value (4 13) 29 with value (4 33) 9 with value (4 52)
% 2.16/2.38 ; 37 with value (4 14) 31 with value (4 34) 5 with value (4 53)
% 2.16/2.38 ; 54 with value (4 15) 61 with value (4 35) 6 with value (4 54)
% 2.16/2.38 ; 57 with value (4 16) 29 with value (4 36) 9 with value (4 55)
% 2.16/2.38 ; 110 with value (4 17) 35 with value (4 37) 4 with value (4 56)
% 2.16/2.38 ; 71 with value (4 18) 48 with value (4 38) 2 with value (4 57)
% 2.16/2.38 ; 96 with value (4 19) 23 with value (4 39) 4 with value (4 58)
% 2.16/2.38 ; 130 with value (4 20) 31 with value (4 40) 6 with value (4 59)
% 2.16/2.38 ; 71 with value (4 21) 29 with value (4 41) 2 with value (4 60)
% 2.16/2.38 ; 115 with value (4 22) 11 with value (4 42) 6 with value (4 62)
% 2.16/2.38 ; 126 with value (4 23) 17 with value (4 43) 4 with value (4 65)
% 2.16/2.38 ; 96 with value (4 24) 11 with value (4 44) 4 with value (4 68)
% 2.16/2.38 ; 88 with value (4 25)
% 2.16/2.38 Evaluation took:
% 2.16/2.38 1.914 seconds of real time
% 2.16/2.38 1.769043 seconds of user run time
% 2.16/2.38 0.145209 seconds of system run time
% 2.16/2.38 [Run times include 0.134 seconds GC run time.]
% 2.16/2.38 0 calls to %EVAL
% 2.16/2.38 0 page faults and
% 2.16/2.38 172,166,568 bytes consed.
% 2.16/2.38 :PROOF-FOUND
% 2.16/2.38 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T21:54:20
% 2.16/2.38 :PROOF-FOUND
% 2.16/2.38 *
%------------------------------------------------------------------------------