TSTP Solution File: HEN008-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 13:02:28 EDT 2022
% Result : Unsatisfiable 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 17 RR)
% Number of literals : 32 ( 5 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 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 : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(less_equal_quotient,axiom,
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
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(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
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(well_defined,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(aLEb,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
cnf(aQc,hypothesis,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
cnf(bQc,hypothesis,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
cnf(prove_aQcLEbQc,negated_conjecture,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
cnf(14,plain,
quotient(a,b,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,aLEb]) ).
cnf(16,plain,
quotient(zero,X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,zero_is_smallest]) ).
cnf(17,plain,
~ quotient(aQc,bQc,zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_quotient,prove_aQcLEbQc]) ).
cnf(26,plain,
less_equal(divide(aQc,bQc),divide(divide(a,b),c)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,bQc,aQc,closure,closure]) ).
cnf(39,plain,
zero = divide(a,b),
inference('HYPERRESOLVE',[status(thm)],[well_defined,14,closure]) ).
cnf(40,plain,
less_equal(divide(aQc,bQc),divide(zero,c)),
inference('REWRITE',[status(thm)],[26,39,theory(equality)]) ).
cnf(52,plain,
zero = divide(zero,X),
inference('HYPERRESOLVE',[status(thm)],[well_defined,16,closure]) ).
cnf(55,plain,
less_equal(divide(aQc,bQc),zero),
inference('REWRITE',[status(thm)],[40,52,theory(equality)]) ).
cnf(73,plain,
divide(aQc,bQc) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,55,zero_is_smallest]) ).
cnf(74,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[closure,73,theory(equality)]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : Fri Jul 1 15:10:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T15:10:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-01T15:10:08
% 0.20/0.48
% 0.20/0.48 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.39/0.55 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.39/0.55
% 0.39/0.55 #||
% 0.39/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.55 ||#
% 0.39/0.55
% 0.39/0.55 ; Summary of computation:
% 0.39/0.55 ; 1107 formulas have been input or derived (from 31 formulas).
% 0.39/0.55 ; 74 ( 7%) were retained. Of these,
% 0.39/0.55 ; 12 (16%) were simplified or subsumed later,
% 0.39/0.55 ; 62 (84%) are still being kept.
% 0.39/0.55 ;
% 0.39/0.55 ; Run time in seconds excluding printing time:
% 0.39/0.55 ; 0.003 4% Read assertion file (1 call)
% 0.39/0.55 ; 0.000 0% Assert (13 calls)
% 0.39/0.55 ; 0.007 8% Process new row (755 calls)
% 0.39/0.55 ; 0.035 42% Resolution (60 calls)
% 0.39/0.55 ; 0.000 0% Paramodulation (30 calls)
% 0.39/0.55 ; 0.000 0% Condensing (6 calls)
% 0.39/0.55 ; 0.000 0% Forward subsumption (6 calls)
% 0.39/0.55 ; 0.000 0% Backward subsumption (6 calls)
% 0.39/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.39/0.55 ; 0.012 14% Forward simplification (754 calls)
% 0.39/0.55 ; 0.002 2% Backward simplification (74 calls)
% 0.39/0.55 ; 0.000 0% Ordering (35 calls)
% 0.39/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.55 ; 0.000 0% Purity testing (1 call)
% 0.39/0.55 ; 0.024 29% Other
% 0.39/0.55 ; 0.083 Total
% 0.39/0.55 ; 0.085 Real time
% 0.39/0.55 ;
% 0.39/0.55 ; Term-hash-array has 169 terms in all.
% 0.39/0.55 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.39/0.55 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.39/0.55 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.39/0.55 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.39/0.55 ; Path-index has 152 entries (153 at peak, 186 added, 34 deleted).
% 0.39/0.55 ; Path-index has 173 nodes (173 at peak, 182 added, 9 deleted).
% 0.39/0.55 ; Trie-index has 152 entries (153 at peak, 186 added, 34 deleted).
% 0.39/0.55 ; Trie-index has 384 nodes (386 at peak, 478 added, 94 deleted).
% 0.39/0.55 ; Retrieved 1,360 generalization terms in 1,705 calls.
% 0.39/0.55 ; Retrieved 75 instance terms in 67 calls.
% 0.39/0.55 ; Retrieved 11,102 unifiable terms in 4,315 calls.
% 0.39/0.55 ;
% 0.39/0.55 ; The agenda of rows to give has 32 entries:
% 0.39/0.55 ; 3 with value (4 10) 4 with value (4 14) 2 with value (4 16)
% 0.39/0.55 ; 2 with value (4 12) 10 with value (4 15) 3 with value (4 17)
% 0.39/0.55 ; 8 with value (4 13)
% 0.39/0.55 Evaluation took:
% 0.39/0.55 0.085 seconds of real time
% 0.39/0.55 0.070564 seconds of user run time
% 0.39/0.55 0.014945 seconds of system run time
% 0.39/0.55 0 calls to %EVAL
% 0.39/0.55 0 page faults and
% 0.39/0.55 5,093,624 bytes consed.
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T15:10:08
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 *
%------------------------------------------------------------------------------