TSTP Solution File: SWV674-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV674-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.91s 1.10s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 11 unt; 1 nHn; 11 RR)
% Number of literals : 24 ( 12 equ; 11 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; 4 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Opwr__0_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_Power_Opower__class_Opower(Y,c_HOL_Ozero__class_Ozero(tc_nat),X) = c_HOL_Oone__class_Oone(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_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_nonzero__power__inverse_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(X)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(Y,Z,X),X) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(Y,X),Z,X)
| Y = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
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_minus__nat_Odiff__0_0,axiom,
c_HOL_Ominus__class_Ominus(X,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_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_1,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(282,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_minus__nat_Odiff__0_0,theory(equality)]) ).
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/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_Ring__and__Field_Odivision__ring(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
cnf(353,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference('REWRITE',[status(thm)],[cls_nz_0,tfree_tcs]) ).
cnf(357,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(360,plain,
class_Ring__and__Field_Odivision__ring(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring,tfree_tcs]) ).
cnf(415,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(639,plain,
c_Power_Opower__class_Opower(X,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oone__class_Oone(t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Opwr__0_0,357]) ).
cnf(641,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference('REWRITE',[status(thm)],[282,415,639,theory(equality)]) ).
cnf(652,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_nonzero__power__inverse_0,641,353]),360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV674-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.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 16 00:36:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:36:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-16T00:36:38
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.10
% 0.91/1.10
% 0.91/1.10 #||
% 0.91/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.10 % SZS output start Refutation
% See solution above
% 0.91/1.10 ||#
% 0.91/1.10
% 0.91/1.10 ; Summary of computation:
% 0.91/1.10 ; 4848 formulas have been input or derived (from 340 formulas).
% 0.91/1.10 ; 652 (13%) were retained. Of these,
% 0.91/1.10 ; 35 ( 5%) were simplified or subsumed later,
% 0.91/1.10 ; 617 (95%) are still being kept.
% 0.91/1.10 ;
% 0.91/1.10 ; Run time in seconds excluding printing time:
% 0.91/1.10 ; 0.148 24% Read assertion file (1 call)
% 0.91/1.10 ; 0.016 3% Assert (685 calls)
% 0.91/1.10 ; 0.074 12% Process new row (4,031 calls)
% 0.91/1.10 ; 0.103 17% Resolution (678 calls)
% 0.91/1.10 ; 0.008 1% Paramodulation (339 calls)
% 0.91/1.10 ; 0.000 0% Factoring (5 calls)
% 0.91/1.10 ; 0.033 5% Condensing (2,194 calls)
% 0.91/1.10 ; 0.083 13% Forward subsumption (2,194 calls)
% 0.91/1.10 ; 0.010 2% Backward subsumption (467 calls)
% 0.91/1.10 ; 0.038 6% Clause clause subsumption (4,069 calls)
% 0.91/1.10 ; 0.056 9% Forward simplification (3,769 calls)
% 0.91/1.10 ; 0.003 0% Backward simplification (651 calls)
% 0.91/1.10 ; 0.014 2% Ordering (6,595 calls)
% 0.91/1.10 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.10 ; 0.002 0% Purity testing (1 call)
% 0.91/1.10 ; 0.032 5% Other
% 0.91/1.10 ; 0.620 Total
% 0.91/1.10 ; 0.620 Real time
% 0.91/1.11 ;
% 0.91/1.11 ; Term-hash-array has 906 terms in all.
% 0.91/1.11 ; Feature-vector-row-index has 439 entries (440 at peak, 467 added, 28 deleted).
% 0.91/1.11 ; Feature-vector-row-index has 1,857 nodes (1,869 at peak, 2,070 added, 213 deleted).
% 0.91/1.11 ; Retrieved 14,024 possibly forward subsuming rows in 2,194 calls.
% 0.91/1.11 ; Retrieved 272 possibly backward subsumed rows in 467 calls.
% 0.91/1.11 ; Path-index has 878 entries (878 at peak, 927 added, 49 deleted).
% 0.91/1.11 ; Path-index has 1,656 nodes (1,656 at peak, 1,752 added, 96 deleted).
% 0.91/1.11 ; Trie-index has 878 entries (878 at peak, 927 added, 49 deleted).
% 0.91/1.11 ; Trie-index has 2,738 nodes (2,738 at peak, 3,004 added, 266 deleted).
% 0.91/1.11 ; Retrieved 10,916 generalization terms in 17,138 calls.
% 0.91/1.11 ; Retrieved 282 instance terms in 201 calls.
% 0.91/1.11 ; Retrieved 102,119 unifiable terms in 4,504 calls.
% 0.91/1.11 ;
% 0.91/1.11 ; The agenda of rows to process has 10 entries:
% 0.91/1.11 ; 7 with value 22 2 with value 24 1 with value 26
% 0.91/1.11 ; The agenda of rows to give has 279 entries:
% 0.91/1.11 ; 12 with value (4 4) 14 with value (4 19) 2 with value (4 32)
% 0.91/1.11 ; 2 with value (4 6) 12 with value (4 20) 7 with value (4 33)
% 0.91/1.11 ; 3 with value (4 8) 6 with value (4 21) 7 with value (4 34)
% 0.91/1.11 ; 6 with value (4 9) 12 with value (4 22) 7 with value (4 35)
% 0.91/1.11 ; 5 with value (4 10) 12 with value (4 23) 2 with value (4 36)
% 0.91/1.11 ; 15 with value (4 11) 12 with value (4 24) 1 with value (4 37)
% 0.91/1.11 ; 17 with value (4 12) 13 with value (4 25) 1 with value (4 38)
% 0.91/1.11 ; 9 with value (4 13) 14 with value (4 26) 2 with value (4 39)
% 0.91/1.11 ; 4 with value (4 14) 3 with value (4 27) 4 with value (4 40)
% 0.91/1.11 ; 9 with value (4 15) 12 with value (4 28) 1 with value (4 41)
% 0.91/1.11 ; 3 with value (4 16) 10 with value (4 29) 1 with value (4 42)
% 0.91/1.11 ; 13 with value (4 17) 5 with value (4 30) 1 with value (4 44)
% 0.91/1.11 ; 13 with value (4 18) 5 with value (4 31) 2 with value (4 52)
% 0.91/1.11 Evaluation took:
% 0.91/1.11 0.622 seconds of real time
% 0.91/1.11 0.574654 seconds of user run time
% 0.91/1.11 0.04651 seconds of system run time
% 0.91/1.11 [Run times include 0.022 seconds GC run time.]
% 0.91/1.11 0 calls to %EVAL
% 0.91/1.11 0 page faults and
% 0.91/1.11 51,947,424 bytes consed.
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:36:38
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 *
%------------------------------------------------------------------------------