TSTP Solution File: HEN008-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN008-2 : 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 0.36s 0.60s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 3 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 : 24 ( 2 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(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(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(zero_divide_anything_is_zero,axiom,
quotient(zero,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_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(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(21,plain,
quotient(a,b,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,aLEb]) ).
cnf(33,plain,
zero = divide(zero,X),
inference('HYPERRESOLVE',[status(thm)],[well_defined,zero_divide_anything_is_zero,closure]) ).
cnf(41,plain,
~ less_equal(divide(aQc,bQc),zero),
inference('UR-RESOLVE',[status(thm)],[xQyLEz_implies_xQzLEy,closure,x_divde_zero_is_x,prove_aQcLEbQc]) ).
cnf(58,plain,
less_equal(divide(aQc,bQc),divide(divide(a,b),c)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,bQc,aQc,closure,closure]) ).
cnf(120,plain,
zero = divide(a,b),
inference('HYPERRESOLVE',[status(thm)],[well_defined,21,closure]) ).
cnf(121,plain,
$false,
inference('REWRITE',[status(thm)],[58,41,33,120,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 1 13:25:37 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:25:37
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-01T13:25:37
% 0.17/0.46
% 0.17/0.46 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.17/0.46 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.36/0.60 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.36/0.60
% 0.36/0.60 #||
% 0.36/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.60 % SZS output start Refutation
% See solution above
% 0.36/0.60 ||#
% 0.36/0.60
% 0.36/0.60 ; Summary of computation:
% 0.36/0.60 ; 4388 formulas have been input or derived (from 27 formulas).
% 0.36/0.60 ; 121 ( 3%) were retained. Of these,
% 0.36/0.60 ; 3 ( 2%) were simplified or subsumed later,
% 0.36/0.60 ; 118 (98%) are still being kept.
% 0.36/0.60 ;
% 0.36/0.60 ; Run time in seconds excluding printing time:
% 0.36/0.60 ; 0.004 3% Read assertion file (1 call)
% 0.36/0.60 ; 0.000 0% Assert (20 calls)
% 0.36/0.60 ; 0.018 11% Process new row (1,964 calls)
% 0.36/0.60 ; 0.093 59% Resolution (52 calls)
% 0.36/0.60 ; 0.000 0% Paramodulation (26 calls)
% 0.36/0.60 ; 0.000 0% Condensing (9 calls)
% 0.36/0.60 ; 0.000 0% Forward subsumption (9 calls)
% 0.36/0.60 ; 0.000 0% Backward subsumption (9 calls)
% 0.36/0.60 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.36/0.60 ; 0.014 9% Forward simplification (1,964 calls)
% 0.36/0.60 ; 0.000 0% Backward simplification (121 calls)
% 0.36/0.60 ; 0.000 0% Ordering (9 calls)
% 0.36/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.60 ; 0.000 0% Purity testing (1 call)
% 0.36/0.60 ; 0.029 18% Other
% 0.36/0.60 ; 0.158 Total
% 0.36/0.60 ; 0.159 Real time
% 0.36/0.60 ;
% 0.36/0.60 ; Term-hash-array has 190 terms in all.
% 0.36/0.60 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.36/0.60 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.36/0.60 ; Retrieved 4 possibly forward subsuming rows in 9 calls.
% 0.36/0.60 ; Retrieved 2 possibly backward subsumed rows in 9 calls.
% 0.36/0.60 ; Path-index has 193 entries (196 at peak, 197 added, 4 deleted).
% 0.36/0.60 ; Path-index has 219 nodes (219 at peak, 219 added, 0 deleted).
% 0.36/0.60 ; Trie-index has 193 entries (196 at peak, 197 added, 4 deleted).
% 0.36/0.60 ; Trie-index has 413 nodes (422 at peak, 424 added, 11 deleted).
% 0.36/0.60 ; Retrieved 4,402 generalization terms in 3,826 calls.
% 0.36/0.60 ; Retrieved 153 instance terms in 111 calls.
% 0.36/0.60 ; Retrieved 45,201 unifiable terms in 10,745 calls.
% 0.36/0.60 ;
% 0.36/0.60 ; The agenda of rows to process has 238 entries:
% 0.36/0.60 ; 86 with value 9 22 with value 11 54 with value 14
% 0.36/0.60 ; 16 with value 10 54 with value 12 6 with value 16
% 0.36/0.60 ; The agenda of rows to give has 91 entries:
% 0.36/0.60 ; 20 with value (4 6) 4 with value (4 10) 6 with value (4 15)
% 0.36/0.60 ; 27 with value (4 7) 4 with value (4 11) 2 with value (4 17)
% 0.36/0.60 ; 11 with value (4 8) 4 with value (4 12) 1 with value (4 18)
% 0.36/0.61 ; 7 with value (4 9) 5 with value (4 13)
% 0.36/0.61 Evaluation took:
% 0.36/0.61 0.159 seconds of real time
% 0.36/0.61 0.141348 seconds of user run time
% 0.36/0.61 0.018077 seconds of system run time
% 0.36/0.61 0 calls to %EVAL
% 0.36/0.61 0 page faults and
% 0.36/0.61 9,029,520 bytes consed.
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:25:38
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 *
%------------------------------------------------------------------------------