TSTP Solution File: HEN010-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 13:02:32 EDT 2022
% Result : Unsatisfiable 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 31 ( 4 equ; 16 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divisor_existence,axiom,
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(quotient_property,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(Y,U,V)
| ~ quotient(X,U,W)
| ~ quotient(W,V,X1)
| ~ quotient(Z,U,Y1)
| less_equal(X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(closure,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(x_divide_x_is_zero,axiom,
quotient(X,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X,zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(xQyLEz_implies_xQzLEy,axiom,
( ~ quotient(X,Y,Z)
| ~ less_equal(Z,U)
| ~ quotient(X,U,V)
| less_equal(V,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(one_inversion_equals_three,axiom,
( ~ quotient(identity,X,Y)
| ~ quotient(identity,Y,Z)
| ~ quotient(identity,Z,U)
| Y = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(identity_divide_a,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(identity_divide_idQ_idQa,hypothesis,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
cnf(prove_idQa_equals_idQa_Q__idQ_idQa,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).
cnf(24,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,identity_divide_idQ_idQa]) ).
cnf(42,plain,
idQa = divide(identity,idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[one_inversion_equals_three,identity_divide_a,identity_divide_idQa,closure]) ).
cnf(47,plain,
less_equal(divide(idQa,idQa_Q__idQ_idQa),zero),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQa,identity_divide_idQ_idQa,closure,closure,x_divide_x_is_zero]),42,theory(equality)]) ).
cnf(69,plain,
~ less_equal(idQa,idQa_Q__idQ_idQa),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,24,prove_idQa_equals_idQa_Q__idQ_idQa]) ).
cnf(96,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[xQyLEz_implies_xQzLEy,69,closure,x_divde_zero_is_x]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 14:31:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:31:43
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T14:31:43
% 0.19/0.49
% 0.19/0.49 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.19/0.49 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.43/0.62 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.43/0.62
% 0.43/0.62 #||
% 0.43/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.62 % SZS output start Refutation
% See solution above
% 0.43/0.62 ||#
% 0.43/0.62
% 0.43/0.62 ; Summary of computation:
% 0.43/0.62 ; 3950 formulas have been input or derived (from 32 formulas).
% 0.43/0.62 ; 96 ( 2%) were retained. Of these,
% 0.43/0.62 ; 4 ( 4%) were simplified or subsumed later,
% 0.43/0.62 ; 92 (96%) are still being kept.
% 0.43/0.62 ;
% 0.43/0.62 ; Run time in seconds excluding printing time:
% 0.43/0.62 ; 0.004 3% Read assertion file (1 call)
% 0.43/0.62 ; 0.001 1% Assert (22 calls)
% 0.43/0.62 ; 0.018 13% Process new row (2,031 calls)
% 0.43/0.62 ; 0.078 56% Resolution (62 calls)
% 0.43/0.62 ; 0.000 0% Paramodulation (31 calls)
% 0.43/0.62 ; 0.001 1% Condensing (11 calls)
% 0.43/0.62 ; 0.001 1% Forward subsumption (11 calls)
% 0.43/0.62 ; 0.000 0% Backward subsumption (11 calls)
% 0.43/0.62 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.43/0.62 ; 0.010 7% Forward simplification (2,031 calls)
% 0.43/0.62 ; 0.000 0% Backward simplification (96 calls)
% 0.43/0.62 ; 0.000 0% Ordering (12 calls)
% 0.43/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.62 ; 0.000 0% Purity testing (1 call)
% 0.43/0.62 ; 0.026 19% Other
% 0.43/0.62 ; 0.139 Total
% 0.43/0.62 ; 0.141 Real time
% 0.43/0.62 ;
% 0.43/0.62 ; Term-hash-array has 167 terms in all.
% 0.43/0.62 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.43/0.62 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.43/0.62 ; Retrieved 8 possibly forward subsuming rows in 11 calls.
% 0.43/0.62 ; Retrieved 4 possibly backward subsumed rows in 11 calls.
% 0.43/0.62 ; Path-index has 169 entries (169 at peak, 173 added, 4 deleted).
% 0.43/0.62 ; Path-index has 200 nodes (200 at peak, 201 added, 1 deleted).
% 0.43/0.62 ; Trie-index has 169 entries (169 at peak, 173 added, 4 deleted).
% 0.43/0.62 ; Trie-index has 372 nodes (372 at peak, 380 added, 8 deleted).
% 0.43/0.62 ; Retrieved 4,928 generalization terms in 4,258 calls.
% 0.43/0.62 ; Retrieved 120 instance terms in 84 calls.
% 0.43/0.62 ; Retrieved 41,312 unifiable terms in 10,225 calls.
% 0.43/0.62 ;
% 0.43/0.62 ; The agenda of rows to process has 18 entries:
% 0.43/0.62 ; 14 with value 11 4 with value 13
% 0.43/0.62 ; The agenda of rows to give has 62 entries:
% 0.43/0.62 ; 4 with value (4 7) 6 with value (4 11) 1 with value (4 16)
% 0.43/0.62 ; 29 with value (4 8) 3 with value (4 12) 1 with value (4 17)
% 0.43/0.62 ; 2 with value (4 9) 4 with value (4 13) 1 with value (4 18)
% 0.43/0.62 ; 4 with value (4 10) 7 with value (4 15)
% 0.43/0.62 Evaluation took:
% 0.43/0.62 0.142 seconds of real time
% 0.43/0.62 0.127581 seconds of user run time
% 0.43/0.62 0.014303 seconds of system run time
% 0.43/0.62 0 calls to %EVAL
% 0.43/0.62 0 page faults and
% 0.43/0.62 8,504,952 bytes consed.
% 0.43/0.62 :PROOF-FOUND
% 0.43/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:31:43
% 0.43/0.62 :PROOF-FOUND
% 0.43/0.62 *
%------------------------------------------------------------------------------