%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 2 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
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(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(a_is_an_inverse_of_b,hypothesis,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
cnf(c_is_an_inverse_of_b,hypothesis,
product(c,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
cnf(prove_a_equals_c,negated_conjecture,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
cnf(14,plain,
~ product(c,identity,a),
inference('UR-RESOLVE',[status(thm)],[total_function2,right_identity,prove_a_equals_c]) ).
cnf(41,plain,
product(identity,inverse(b),a),
inference('HYPERRESOLVE',[status(thm)],[associativity2,a_is_an_inverse_of_b,right_inverse,right_identity]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity1,14,c_is_an_inverse_of_b,right_inverse]),41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 21:10:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:10:54
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-13T21:10:54
% 0.18/0.47
% 0.18/0.47 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.18/0.47 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.18/0.47 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.18/0.47 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.18/0.47 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.18/0.47 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.18/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 603 formulas have been input or derived (from 15 formulas).
% 0.18/0.51 ; 71 (12%) were retained. Of these,
% 0.18/0.51 ; 71 (100%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 6% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (11 calls)
% 0.18/0.51 ; 0.006 12% Process new row (517 calls)
% 0.18/0.51 ; 0.012 23% Resolution (28 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (14 calls)
% 0.18/0.51 ; 0.000 0% Condensing (3 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.18/0.51 ; 0.006 12% Forward simplification (517 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (71 calls)
% 0.18/0.51 ; 0.000 0% Ordering (8 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.024 46% Other
% 0.18/0.51 ; 0.052 Total
% 0.18/0.51 ; 0.054 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 114 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.18/0.51 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.18/0.51 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.18/0.51 ; Path-index has 118 entries (118 at peak, 118 added, 0 deleted).
% 0.18/0.51 ; Path-index has 185 nodes (185 at peak, 185 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 118 entries (118 at peak, 118 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 291 nodes (291 at peak, 291 added, 0 deleted).
% 0.18/0.51 ; Retrieved 1,093 generalization terms in 1,199 calls.
% 0.18/0.51 ; Retrieved 67 instance terms in 67 calls.
% 0.18/0.51 ; Retrieved 5,852 unifiable terms in 923 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 10 entries:
% 0.18/0.51 ; 2 with value 9 2 with value 11 1 with value 12
% 0.18/0.51 ; 5 with value 10
% 0.18/0.51 ; The agenda of rows to give has 56 entries:
% 0.18/0.51 ; 1 with value (4 6) 8 with value (4 9) 6 with value (4 12)
% 0.18/0.51 ; 3 with value (4 7) 12 with value (4 10) 2 with value (4 13)
% 0.18/0.51 ; 12 with value (4 8) 6 with value (4 11) 6 with value (4 14)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.054 seconds of real time
% 0.18/0.51 0.040067 seconds of user run time
% 0.18/0.51 0.014162 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 2,988,464 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:10:54
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------