TSTP Solution File: GRP036-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:35:23 EDT 2022
% Result : Unsatisfiable 0.41s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 2 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(X,inverse(Y),Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(another_right_identity,hypothesis,
( ~ subgroup_member(X)
| product(X,another_identity,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
cnf(another_identity_in_subgroup,hypothesis,
subgroup_member(another_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
cnf(prove_identity_equals_another_identity,negated_conjecture,
identity != another_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_equals_another_identity) ).
cnf(21,plain,
~ product(identity,another_identity,identity),
inference('UR-RESOLVE',[status(thm)],[total_function2,left_identity,prove_identity_equals_another_identity]) ).
cnf(31,plain,
subgroup_member(identity),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product_and_inverse,another_identity_in_subgroup,another_identity_in_subgroup,right_inverse]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[another_right_identity,31]),21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 18:26:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 *
% 0.20/0.50 *
% 0.20/0.51 #<PACKAGE "SNARK-USER">
% 0.20/0.51 *
% 0.20/0.51 SNARK-TPTP-OPTIONS
% 0.20/0.51 *
% 0.20/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.51 (USE-FACTORING :POS)
% 0.20/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.51 *
% 0.20/0.51 "."
% 0.20/0.51 *
% 0.20/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T18:26:06
% 0.20/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T18:26:06
% 0.20/0.53
% 0.20/0.53 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.20/0.53 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.20/0.53 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.20/0.53 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.20/0.53 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.53 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.53 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.41/0.57 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.41/0.57
% 0.41/0.57 #||
% 0.41/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 424 formulas have been input or derived (from 18 formulas).
% 0.41/0.57 ; 49 (12%) were retained. Of these,
% 0.41/0.57 ; 49 (100%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.007 13% Read assertion file (1 call)
% 0.41/0.57 ; 0.001 2% Assert (16 calls)
% 0.41/0.57 ; 0.005 9% Process new row (351 calls)
% 0.41/0.57 ; 0.010 19% Resolution (34 calls)
% 0.41/0.57 ; 0.000 0% Paramodulation (17 calls)
% 0.41/0.57 ; 0.000 0% Condensing (9 calls)
% 0.41/0.57 ; 0.000 0% Forward subsumption (9 calls)
% 0.41/0.57 ; 0.000 0% Backward subsumption (9 calls)
% 0.41/0.57 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.41/0.57 ; 0.004 7% Forward simplification (351 calls)
% 0.41/0.57 ; 0.000 0% Backward simplification (49 calls)
% 0.41/0.57 ; 0.000 0% Ordering (6 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.027 50% Other
% 0.41/0.57 ; 0.054 Total
% 0.41/0.57 ; 0.056 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 80 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.41/0.57 ; Retrieved 7 possibly forward subsuming rows in 9 calls.
% 0.41/0.57 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.41/0.57 ; Path-index has 82 entries (82 at peak, 82 added, 0 deleted).
% 0.41/0.57 ; Path-index has 156 nodes (156 at peak, 156 added, 0 deleted).
% 0.41/0.57 ; Trie-index has 82 entries (82 at peak, 82 added, 0 deleted).
% 0.41/0.57 ; Trie-index has 204 nodes (204 at peak, 204 added, 0 deleted).
% 0.41/0.57 ; Retrieved 732 generalization terms in 816 calls.
% 0.41/0.57 ; Retrieved 39 instance terms in 39 calls.
% 0.41/0.57 ; Retrieved 4,335 unifiable terms in 616 calls.
% 0.41/0.57 ;
% 0.41/0.57 ; The agenda of rows to process has 20 entries:
% 0.41/0.57 ; 8 with value 7 4 with value 9 8 with value 10
% 0.41/0.57 ; The agenda of rows to give has 31 entries:
% 0.41/0.57 ; 5 with value (4 6) 8 with value (4 10) 2 with value (4 13)
% 0.41/0.57 ; 2 with value (4 7) 2 with value (4 11) 6 with value (4 14)
% 0.41/0.57 ; 6 with value (4 8)
% 0.41/0.57 Evaluation took:
% 0.41/0.57 0.057 seconds of real time
% 0.41/0.57 0.049081 seconds of user run time
% 0.41/0.57 0.007804 seconds of system run time
% 0.41/0.57 0 calls to %EVAL
% 0.41/0.57 0 page faults and
% 0.41/0.57 2,555,200 bytes consed.
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T18:26:06
% 0.41/0.57 :PROOF-FOUND
% 0.41/0.57 *
%------------------------------------------------------------------------------