TSTP Solution File: SWV680-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV680-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 21:35:41 EDT 2022
% Result : Unsatisfiable 4.55s 4.75s
% Output : Refutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 11 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 12 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_nonzero__power__divide_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(Y,Z,X),U,X) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(Y,U,X),c_Power_Opower__class_Opower(Z,U,X),X)
| Z = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__power__divide_0) ).
cnf(cls_field__power__not__zero_0,axiom,
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X)
| c_Power_Opower__class_Opower(Y,Z,X) != c_HOL_Ozero__class_Ozero(X)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).
cnf(cls_class__semiring_Opwr__pwr_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_Power_Opower__class_Opower(Y,c_HOL_Otimes__class_Otimes(Z,U,tc_nat),X) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(Y,Z,X),U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Opwr__pwr_0) ).
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X,Y,tc_nat) = c_HOL_Otimes__class_Otimes(Y,X,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__mult__commute_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_0,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_Ring__and__Field_Oring__1__no__zero__divisors(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_Ring__and__Field_Ocomm__semiring__1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(403,plain,
class_Ring__and__Field_Oring__1__no__zero__divisors(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors,tfree_tcs]) ).
cnf(408,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,tfree_tcs]) ).
cnf(671,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_j,v_i,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,cls_nat__mult__commute_0,theory(equality)]) ).
cnf(743,plain,
c_Power_Opower__class_Opower(v_a,X,t_a) != c_HOL_Ozero__class_Ozero(t_a),
inference('UR-RESOLVE',[status(thm)],[cls_field__power__not__zero_0,403,cls_conjecture_0]) ).
cnf(759,plain,
c_Power_Opower__class_Opower(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_nat),t_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X,Y,t_a),Z,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Opwr__pwr_0,408]) ).
cnf(2151,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X,c_Power_Opower__class_Opower(v_a,Y,t_a),t_a),Z,t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X,Z,t_a),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,Y,t_a),Z,t_a),t_a),
inference('UR-RESOLVE',[status(thm)],[cls_nonzero__power__divide_0,743,tfree_tcs]) ).
cnf(2153,plain,
$false,
inference('REWRITE',[status(thm)],[671,759,2151,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV680-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 : Thu Jun 16 06:24:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 *
% 0.19/0.50 *
% 0.19/0.51 #<PACKAGE "SNARK-USER">
% 0.19/0.51 *
% 0.19/0.51 SNARK-TPTP-OPTIONS
% 0.19/0.51 *
% 0.19/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.51 (USE-FACTORING :POS)
% 0.19/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.51 *
% 0.19/0.51 "."
% 0.19/0.51 *
% 0.19/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:24:24
% 0.19/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T06:24:24
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_RealVector_Oreal__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.79 WARNING:
% 0.59/0.79 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 4.55/4.75
% 4.55/4.75
% 4.55/4.75 #||
% 4.55/4.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/4.75 % SZS output start Refutation
% See solution above
% 4.55/4.77 ||#
% 4.55/4.77
% 4.55/4.77 ; Summary of computation:
% 4.55/4.77 ; 16698 formulas have been input or derived (from 464 formulas).
% 4.55/4.77 ; 2153 (13%) were retained. Of these,
% 4.55/4.77 ; 80 ( 4%) were simplified or subsumed later,
% 4.55/4.77 ; 2073 (96%) are still being kept.
% 4.55/4.77 ;
% 4.55/4.77 ; Run time in seconds excluding printing time:
% 4.55/4.77 ; 0.236 6% Read assertion file (1 call)
% 4.55/4.77 ; 0.030 1% Assert (731 calls)
% 4.55/4.77 ; 0.388 9% Process new row (15,062 calls)
% 4.55/4.77 ; 0.883 21% Resolution (926 calls)
% 4.55/4.77 ; 0.042 1% Paramodulation (463 calls)
% 4.55/4.77 ; 0.000 0% Factoring (4 calls)
% 4.55/4.77 ; 0.230 5% Condensing (9,427 calls)
% 4.55/4.77 ; 0.838 20% Forward subsumption (9,427 calls)
% 4.55/4.77 ; 0.104 2% Backward subsumption (1,494 calls)
% 4.55/4.77 ; 0.500 12% Clause clause subsumption (39,284 calls)
% 4.55/4.77 ; 0.657 16% Forward simplification (14,791 calls)
% 4.55/4.77 ; 0.039 1% Backward simplification (2,153 calls)
% 4.55/4.77 ; 0.121 3% Ordering (26,756 calls)
% 4.55/4.77 ; 0.000 0% Sortal reasoning (32 calls)
% 4.55/4.77 ; 0.005 0% Purity testing (1 call)
% 4.55/4.77 ; 0.149 4% Other
% 4.55/4.77 ; 4.222 Total
% 4.55/4.77 ; 4.254 Real time
% 4.55/4.77 ;
% 4.55/4.77 ; Term-hash-array has 3,276 terms in all.
% 4.58/4.77 ; Feature-vector-row-index has 1,473 entries (1,473 at peak, 1,494 added, 21 deleted).
% 4.58/4.77 ; Feature-vector-row-index has 3,793 nodes (3,793 at peak, 3,871 added, 78 deleted).
% 4.58/4.77 ; Retrieved 104,413 possibly forward subsuming rows in 9,427 calls.
% 4.58/4.77 ; Retrieved 2,911 possibly backward subsumed rows in 1,494 calls.
% 4.58/4.77 ; Path-index has 3,067 entries (3,239 at peak, 3,321 added, 254 deleted).
% 4.58/4.77 ; Path-index has 4,936 nodes (5,370 at peak, 5,443 added, 507 deleted).
% 4.58/4.77 ; Trie-index has 3,067 entries (3,239 at peak, 3,321 added, 254 deleted).
% 4.58/4.77 ; Trie-index has 12,881 nodes (17,280 at peak, 17,697 added, 4,816 deleted).
% 4.58/4.77 ; Retrieved 55,855 generalization terms in 71,677 calls.
% 4.58/4.77 ; Retrieved 926 instance terms in 726 calls.
% 4.58/4.77 ; Retrieved 640,411 unifiable terms in 19,075 calls.
% 4.58/4.77 ;
% 4.58/4.77 ; The agenda of backward simplifiable rows to process has 42 entries:
% 4.58/4.77 ; 42 with value 0
% 4.58/4.77 ; The agenda of rows to process has 126 entries:
% 4.58/4.77 ; 2 with value 32 18 with value 42 6 with value 49
% 4.58/4.77 ; 2 with value 34 6 with value 43 4 with value 50
% 4.58/4.77 ; 4 with value 35 10 with value 44 16 with value 53
% 4.58/4.77 ; 4 with value 37 6 with value 46 8 with value 57
% 4.58/4.77 ; 6 with value 38 4 with value 47 6 with value 92
% 4.58/4.77 ; 24 with value 40
% 4.58/4.77 ; The agenda of input rows to give has 1 entry:
% 4.58/4.77 ; 1 with value 37
% 4.58/4.77 ; The agenda of rows to give has 1609 entries:
% 4.58/4.77 ; 1 with value (4 11) 35 with value (4 24) 93 with value (4 37)
% 4.58/4.77 ; 30 with value (4 12) 102 with value (4 25) 119 with value (4 38)
% 4.58/4.77 ; 25 with value (4 13) 117 with value (4 26) 47 with value (4 39)
% 4.58/4.77 ; 48 with value (4 14) 53 with value (4 27) 38 with value (4 40)
% 4.58/4.77 ; 27 with value (4 15) 71 with value (4 28) 5 with value (4 43)
% 4.58/4.77 ; 63 with value (4 16) 37 with value (4 29) 2 with value (4 44)
% 4.58/4.77 ; 44 with value (4 17) 111 with value (4 30) 2 with value (4 45)
% 4.58/4.77 ; 80 with value (4 18) 52 with value (4 31) 3 with value (4 46)
% 4.58/4.77 ; 71 with value (4 19) 28 with value (4 32) 10 with value (4 48)
% 4.58/4.77 ; 25 with value (4 20) 35 with value (4 33) 1 with value (4 49)
% 4.58/4.77 ; 4 with value (4 21) 23 with value (4 34) 12 with value (4 50)
% 4.58/4.77 ; 54 with value (4 22) 36 with value (4 35) 4 with value (4 51)
% 4.58/4.77 ; 61 with value (4 23) 40 with value (4 36)
% 4.58/4.77 Evaluation took:
% 4.58/4.77 4.256 seconds of real time
% 4.58/4.77 3.903727 seconds of user run time
% 4.58/4.77 0.338343 seconds of system run time
% 4.58/4.77 [Run times include 0.317 seconds GC run time.]
% 4.58/4.77 0 calls to %EVAL
% 4.58/4.77 0 page faults and
% 4.58/4.77 202,635,784 bytes consed.
% 4.58/4.77 :PROOF-FOUND
% 4.58/4.77 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:24:29
% 4.58/4.77 :PROOF-FOUND
% 4.58/4.77 *
%------------------------------------------------------------------------------