TSTP Solution File: GRP007-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:35:12 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 : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(another_right_identity,hypothesis,
product(X,c,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_right_identity) ).
cnf(prove_identity_equals_c,negated_conjecture,
identity != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_equals_c) ).
cnf(12,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[total_function2,left_identity,another_right_identity,prove_identity_equals_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 : Mon Jun 13 23:01:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:01:58
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T23:01:58
% 0.19/0.49
% 0.19/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.49 ; Recognized possible left identity assertion (|product| |c| ?X ?X).
% 0.19/0.51 ; Recognized possible right identity assertion (|product| ?X |c| ?X).
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/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 ; 105 formulas have been input or derived (from 10 formulas).
% 0.19/0.51 ; 12 (11%) were retained. Of these,
% 0.19/0.51 ; 12 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 11% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 4% Assert (11 calls)
% 0.19/0.51 ; 0.000 0% Process new row (12 calls)
% 0.19/0.51 ; 0.002 7% Resolution (18 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (9 calls)
% 0.19/0.51 ; 0.001 4% Condensing (3 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (12 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (12 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 ; 0.021 75% Other
% 0.19/0.51 ; 0.028 Total
% 0.19/0.51 ; 0.030 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 16 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.19/0.51 ; Path-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.51 ; Path-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 generalization terms in 16 calls.
% 0.19/0.51 ; Retrieved 8 instance terms in 8 calls.
% 0.19/0.51 ; Retrieved 264 unifiable terms in 102 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 84 entries:
% 0.19/0.51 ; 26 with value 5 12 with value 7 10 with value 10
% 0.19/0.51 ; 16 with value 6 20 with value 8
% 0.19/0.51 ; The agenda of input rows to give has 2 entries:
% 0.19/0.51 ; 2 with value 20
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.03 seconds of real time
% 0.19/0.51 0.02393 seconds of user run time
% 0.19/0.51 0.006019 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 1,530,744 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T23:01:58
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------