%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN005-5 : 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 13:02:23 EDT 2022
% Result : Unsatisfiable 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 11 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(divide_and_equal,axiom,
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(a_divide_b_is_zero,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
cnf(b_divide_c_is_zero,hypothesis,
divide(b,c) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_divide_c_is_zero) ).
cnf(prove_transitivity_of_divide_to_zero,negated_conjecture,
divide(a,c) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_divide_to_zero) ).
cnf(9,plain,
divide(divide(a,c),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,zero_is_smallest,prove_transitivity_of_divide_to_zero]) ).
cnf(20,plain,
divide(divide(divide(a,X),divide(b,X)),zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,a_divide_b_is_zero,theory(equality)]),zero_is_smallest,theory(equality)]) ).
cnf(42,plain,
divide(divide(a,X),divide(b,X)) = zero,
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,20,zero_is_smallest]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,b_divide_c_is_zero,theory(equality)]),9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jul 1 13:12:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:12:29
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-01T13:12:29
% 0.22/0.56
% 0.22/0.56
% 0.22/0.56 #||
% 0.22/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.56 % SZS output start Refutation
% See solution above
% 0.22/0.56 ||#
% 0.22/0.56
% 0.22/0.56 ; Summary of computation:
% 0.22/0.56 ; 239 formulas have been input or derived (from 22 formulas).
% 0.22/0.56 ; 43 (18%) were retained. Of these,
% 0.22/0.56 ; 7 (16%) were simplified or subsumed later,
% 0.22/0.56 ; 36 (84%) are still being kept.
% 0.22/0.56 ;
% 0.22/0.56 ; Run time in seconds excluding printing time:
% 0.22/0.56 ; 0.002 4% Read assertion file (1 call)
% 0.22/0.56 ; 0.000 0% Assert (8 calls)
% 0.22/0.56 ; 0.005 11% Process new row (186 calls)
% 0.22/0.56 ; 0.004 9% Resolution (42 calls)
% 0.22/0.56 ; 0.007 15% Paramodulation (21 calls)
% 0.22/0.56 ; 0.000 0% Condensing (13 calls)
% 0.22/0.56 ; 0.000 0% Forward subsumption (13 calls)
% 0.22/0.56 ; 0.000 0% Backward subsumption (8 calls)
% 0.22/0.56 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.22/0.56 ; 0.004 9% Forward simplification (137 calls)
% 0.22/0.56 ; 0.000 0% Backward simplification (43 calls)
% 0.22/0.56 ; 0.001 2% Ordering (257 calls)
% 0.22/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.56 ; 0.000 0% Purity testing (1 call)
% 0.22/0.56 ; 0.023 50% Other
% 0.22/0.56 ; 0.046 Total
% 0.22/0.56 ; 0.048 Real time
% 0.22/0.56 ;
% 0.22/0.56 ; Term-hash-array has 149 terms in all.
% 0.22/0.56 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.22/0.56 ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.22/0.56 ; Retrieved 7 possibly forward subsuming rows in 13 calls.
% 0.22/0.56 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.22/0.56 ; Path-index has 138 entries (140 at peak, 154 added, 16 deleted).
% 0.22/0.56 ; Path-index has 296 nodes (297 at peak, 305 added, 9 deleted).
% 0.22/0.56 ; Trie-index has 138 entries (140 at peak, 154 added, 16 deleted).
% 0.22/0.56 ; Trie-index has 568 nodes (579 at peak, 613 added, 45 deleted).
% 0.22/0.56 ; Retrieved 247 generalization terms in 403 calls.
% 0.22/0.56 ; Retrieved 144 instance terms in 34 calls.
% 0.22/0.56 ; Retrieved 1,242 unifiable terms in 253 calls.
% 0.22/0.56 ;
% 0.22/0.56 ; The agenda of rows to process has 9 entries:
% 0.22/0.56 ; 1 with value 13 1 with value 23 2 with value 27
% 0.22/0.56 ; 2 with value 14 1 with value 25 1 with value 28
% 0.40/0.56 ; 1 with value 16
% 0.40/0.56 ; The agenda of rows to give has 18 entries:
% 0.40/0.56 ; 1 with value (4 16) 2 with value (4 23) 1 with value (4 30)
% 0.40/0.56 ; 4 with value (4 18) 2 with value (4 24) 1 with value (4 34)
% 0.40/0.56 ; 2 with value (4 19) 1 with value (4 27) 1 with value (4 36)
% 0.40/0.56 ; 2 with value (4 21) 1 with value (4 28)
% 0.40/0.56 Evaluation took:
% 0.40/0.56 0.048 seconds of real time
% 0.40/0.56 0.041089 seconds of user run time
% 0.40/0.56 0.00673 seconds of system run time
% 0.40/0.56 0 calls to %EVAL
% 0.40/0.56 0 page faults and
% 0.40/0.56 2,628,480 bytes consed.
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:12:29
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 *
%------------------------------------------------------------------------------