TSTP Solution File: HEN011-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN011-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 13:02:34 EDT 2022
% Result : Unsatisfiable 0.84s 1.07s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 18 unt; 0 nHn; 22 RR)
% Number of literals : 40 ( 5 equ; 19 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 : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 29 ( 3 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(transitivity_of_less_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
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_b,hypothesis,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(identity_divide_idQb,hypothesis,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(idQa_divide_idQ_idQb,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(idQb_divide_idQ_idQa,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa) ).
cnf(30,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(52,plain,
idQa = divide(identity,idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[one_inversion_equals_three,identity_divide_a,identity_divide_idQa,closure]) ).
cnf(54,plain,
idQb = divide(identity,idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[one_inversion_equals_three,identity_divide_b,identity_divide_idQb,closure]) ).
cnf(75,plain,
less_equal(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQa,idQa_divide_idQ_idQb,closure,closure,closure]),54,theory(equality)]) ).
cnf(80,plain,
less_equal(divide(idQa,idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_idQb,idQb_divide_idQ_idQa,closure,closure,closure]),52,theory(equality)]) ).
cnf(405,plain,
less_equal(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_less_equal,75,30]) ).
cnf(411,plain,
less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),
inference('HYPERRESOLVE',[status(thm)],[xQyLEz_implies_xQzLEy,405,closure,idQb_divide_idQ_idQa]) ).
cnf(424,plain,
~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,411,prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa]) ).
cnf(455,plain,
~ less_equal(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb),
inference('UR-RESOLVE',[status(thm)],[xQyLEz_implies_xQzLEy,424,closure,idQa_divide_idQ_idQb]) ).
cnf(717,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[transitivity_of_less_equal,80,30]),455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN011-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 14:53:59 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 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 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 2022-07-01T14:53:59
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-01T14:53:59
% 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)).
% 0.84/1.07 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.84/1.07
% 0.84/1.07 #||
% 0.84/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.07 % SZS output start Refutation
% See solution above
% 0.84/1.07 ||#
% 0.84/1.07
% 0.84/1.07 ; Summary of computation:
% 0.84/1.07 ; 16011 formulas have been input or derived (from 108 formulas).
% 0.84/1.07 ; 717 ( 4%) were retained. Of these,
% 0.84/1.07 ; 40 ( 6%) were simplified or subsumed later,
% 0.84/1.07 ; 677 (94%) are still being kept.
% 0.84/1.07 ;
% 0.84/1.07 ; Run time in seconds excluding printing time:
% 0.84/1.07 ; 0.005 1% Read assertion file (1 call)
% 0.84/1.07 ; 0.001 0% Assert (26 calls)
% 0.84/1.07 ; 0.055 9% Process new row (11,405 calls)
% 0.84/1.07 ; 0.388 66% Resolution (214 calls)
% 0.84/1.07 ; 0.004 1% Paramodulation (107 calls)
% 0.84/1.07 ; 0.000 0% Condensing (12 calls)
% 0.84/1.07 ; 0.000 0% Forward subsumption (12 calls)
% 0.84/1.07 ; 0.000 0% Backward subsumption (12 calls)
% 0.84/1.07 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.84/1.07 ; 0.066 11% Forward simplification (11,211 calls)
% 0.84/1.07 ; 0.011 2% Backward simplification (717 calls)
% 0.84/1.07 ; 0.000 0% Ordering (210 calls)
% 0.84/1.07 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/1.07 ; 0.000 0% Purity testing (1 call)
% 0.84/1.07 ; 0.060 10% Other
% 0.84/1.07 ; 0.590 Total
% 0.84/1.07 ; 0.591 Real time
% 0.84/1.07 ;
% 0.84/1.07 ; Term-hash-array has 1,048 terms in all.
% 0.84/1.07 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.84/1.07 ; Feature-vector-row-index has 20 nodes (20 at peak, 20 added, 0 deleted).
% 0.84/1.07 ; Retrieved 9 possibly forward subsuming rows in 12 calls.
% 0.84/1.07 ; Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.84/1.07 ; Path-index has 1,009 entries (1,009 at peak, 1,058 added, 49 deleted).
% 0.84/1.07 ; Path-index has 388 nodes (388 at peak, 390 added, 2 deleted).
% 0.84/1.07 ; Trie-index has 1,009 entries (1,009 at peak, 1,058 added, 49 deleted).
% 0.84/1.07 ; Trie-index has 2,044 nodes (2,044 at peak, 2,145 added, 101 deleted).
% 0.84/1.07 ; Retrieved 28,945 generalization terms in 23,392 calls.
% 0.84/1.07 ; Retrieved 894 instance terms in 704 calls.
% 0.84/1.07 ; Retrieved 238,189 unifiable terms in 66,450 calls.
% 0.84/1.07 ;
% 0.84/1.07 ; The agenda of rows to process has 52 entries:
% 0.84/1.07 ; 5 with value 9 12 with value 12 21 with value 14
% 0.84/1.07 ; 1 with value 10 1 with value 13 7 with value 16
% 0.84/1.07 ; 5 with value 11
% 0.84/1.07 ; The agenda of rows to give has 576 entries:
% 0.84/1.07 ; 56 with value (4 10) 124 with value (4 14) 16 with value (4 17)
% 0.84/1.07 ; 112 with value (4 11) 58 with value (4 15) 10 with value (4 18)
% 0.84/1.07 ; 45 with value (4 12) 27 with value (4 16) 1 with value (4 21)
% 0.84/1.07 ; 127 with value (4 13)
% 0.84/1.07 Evaluation took:
% 0.84/1.07 0.591 seconds of real time
% 0.84/1.07 0.54228 seconds of user run time
% 0.84/1.07 0.049118 seconds of system run time
% 0.84/1.07 [Run times include 0.016 seconds GC run time.]
% 0.84/1.07 0 calls to %EVAL
% 0.84/1.07 0 page faults and
% 0.84/1.07 42,493,728 bytes consed.
% 0.84/1.07 :PROOF-FOUND
% 0.84/1.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:53:59
% 0.84/1.07 :PROOF-FOUND
% 0.84/1.07 *
%------------------------------------------------------------------------------