%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 23:48:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 2 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(additive_inverse1,axiom,
sum(inverse(X),X,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
cnf(prove_equation,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(14,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_inverse1,additive_identity1,prove_equation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n022.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 : Wed Jun 1 17:22:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T17:22:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-01T17:22:07
% 0.19/0.48
% 0.19/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.48 ; Recognized possible left identity assertion (|product| |multiplicative_identity| ?X ?X).
% 0.19/0.48 ; Recognized possible right identity assertion (|product| ?X |multiplicative_identity| ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (|sum| (|inverse| ?X) ?X |multiplicative_identity|).
% 0.19/0.48 ; Recognized possible right inverse assertion (|sum| ?X (|inverse| ?X) |multiplicative_identity|).
% 0.19/0.48 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |additive_identity|).
% 0.19/0.48 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |additive_identity|).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Declaring sum to be commutative.
% 0.19/0.48 ; Declaring add to be commutative.
% 0.19/0.48 ; Declaring product to be commutative.
% 0.19/0.51 ; Declaring multiply to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 95 formulas have been input or derived (from 9 formulas).
% 0.19/0.51 ; 14 (15%) were retained. Of these,
% 0.19/0.51 ; 14 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.005 13% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 5% Assert (23 calls)
% 0.19/0.51 ; 0.001 3% Process new row (24 calls)
% 0.19/0.51 ; 0.001 3% Resolution (16 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (8 calls)
% 0.19/0.51 ; 0.002 5% Condensing (10 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (6 calls)
% 0.19/0.51 ; 0.002 5% Clause clause subsumption (4 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (24 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (14 calls)
% 0.19/0.51 ; 0.000 0% Ordering (1 call)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 61% Other
% 0.19/0.51 ; 0.038 Total
% 0.19/0.51 ; 0.040 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 24 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.19/0.51 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.19/0.51 ; Path-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51 ; Path-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.19/0.51 ; Retrieved 4 generalization terms in 52 calls.
% 0.19/0.51 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.51 ; Retrieved 203 unifiable terms in 88 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 36 entries:
% 0.19/0.51 ; 4 with value 5 16 with value 8 14 with value 10
% 0.19/0.51 ; 1 with value 7 1 with value 9
% 0.19/0.51 ; The agenda of input rows to give has 5 entries:
% 0.19/0.51 ; 1 with value 14 4 with value 25
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.041 seconds of real time
% 0.19/0.51 0.035843 seconds of user run time
% 0.19/0.51 0.005135 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,034,048 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T17:22:07
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------