%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Thu Jul 14 23:48:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(prove_right_identity,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_identity) ).
cnf(11,plain,
multiply(X,Y) = add(multiply(X,Y),multiply(X,additive_identity)),
inference('PARAMODULATE',[status(thm)],[distributivity2,additive_id1,theory(equality)]) ).
cnf(30,plain,
additive_identity = multiply(X,additive_identity),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[prove_right_identity,30,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO006-4 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 19:07:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:07:14
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-01T19:07:14
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.21/0.50 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.21/0.50 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.21/0.50 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.21/0.50 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.21/0.50 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.21/0.50 ; Declaring add to be commutative.
% 0.21/0.53 ; Declaring multiply to be commutative.
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 90 formulas have been input or derived (from 11 formulas).
% 0.21/0.54 ; 31 (34%) were retained. Of these,
% 0.21/0.54 ; 4 (13%) were simplified or subsumed later,
% 0.21/0.54 ; 27 (87%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.002 5% Read assertion file (1 call)
% 0.21/0.54 ; 0.001 2% Assert (9 calls)
% 0.21/0.54 ; 0.001 2% Process new row (70 calls)
% 0.21/0.54 ; 0.000 0% Resolution (20 calls)
% 0.21/0.54 ; 0.003 7% Paramodulation (10 calls)
% 0.21/0.54 ; 0.007 16% Forward simplification (70 calls)
% 0.21/0.54 ; 0.004 9% Backward simplification (31 calls)
% 0.21/0.54 ; 0.002 5% Ordering (178 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.024 55% Other
% 0.21/0.54 ; 0.044 Total
% 0.21/0.54 ; 0.045 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 113 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.54 ; Path-index has 106 entries (113 at peak, 119 added, 13 deleted).
% 0.21/0.54 ; Path-index has 90 nodes (95 at peak, 96 added, 6 deleted).
% 0.21/0.54 ; Trie-index has 106 entries (113 at peak, 119 added, 13 deleted).
% 0.21/0.54 ; Trie-index has 545 nodes (565 at peak, 586 added, 41 deleted).
% 0.21/0.54 ; Retrieved 214 generalization terms in 443 calls.
% 0.21/0.54 ; Retrieved 78 instance terms in 34 calls.
% 0.21/0.54 ; Retrieved 118 unifiable terms in 58 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 16 entries:
% 0.21/0.54 ; 2 with value 14 1 with value 18 2 with value 25
% 0.21/0.54 ; 1 with value 17 9 with value 23 1 with value 27
% 0.21/0.54 ; The agenda of rows to give has 18 entries:
% 0.21/0.54 ; 1 with value (4 9) 4 with value (4 20) 1 with value (4 27)
% 0.21/0.54 ; 2 with value (4 15) 1 with value (4 21) 1 with value (4 36)
% 0.21/0.54 ; 1 with value (4 17) 1 with value (4 23) 4 with value (4 39)
% 0.21/0.54 ; 2 with value (4 19)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.046 seconds of real time
% 0.21/0.54 0.041554 seconds of user run time
% 0.21/0.54 0.004171 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 2,935,488 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:07:14
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------