TSTP Solution File: GRP046-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 11:35:28 EDT 2022
% Result : Unsatisfiable 0.12s 0.41s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(total_function1,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function1) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(product_substitution3,axiom,
( ~ equalish(X,Y)
| ~ product(Z,U,X)
| product(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(a_equals_b,hypothesis,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(prove_multiply_substitution1,negated_conjecture,
~ equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution1) ).
cnf(14,plain,
~ product(b,c,multiply(a,c)),
inference('UR-RESOLVE',[status(thm)],[total_function2,total_function1,prove_multiply_substitution1]) ).
cnf(20,plain,
product(identity,a,b),
inference('HYPERRESOLVE',[status(thm)],[product_substitution3,a_equals_b,left_identity]) ).
cnf(53,plain,
product(b,X,multiply(a,X)),
inference('HYPERRESOLVE',[status(thm)],[associativity2,20,total_function1,left_identity]) ).
cnf(54,plain,
$false,
inference('REWRITE',[status(thm)],[14,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 11:48:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 *
% 0.12/0.38 *
% 0.12/0.38 #<PACKAGE "SNARK-USER">
% 0.12/0.38 *
% 0.12/0.38 SNARK-TPTP-OPTIONS
% 0.12/0.38 *
% 0.12/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.38 (USE-FACTORING :POS)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.39 *
% 0.12/0.39 "."
% 0.12/0.39 *
% 0.12/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T11:48:43
% 0.12/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-14T11:48:43
% 0.12/0.39
% 0.12/0.39 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.12/0.39 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.12/0.39 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.12/0.39 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.12/0.41 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.12/0.41
% 0.12/0.41 #||
% 0.12/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % SZS output start Refutation
% See solution above
% 0.12/0.41 ||#
% 0.12/0.41
% 0.12/0.41 ; Summary of computation:
% 0.12/0.41 ; 170 formulas have been input or derived (from 12 formulas).
% 0.12/0.41 ; 54 (32%) were retained. Of these,
% 0.12/0.41 ; 2 ( 4%) were simplified or subsumed later,
% 0.12/0.41 ; 52 (96%) are still being kept.
% 0.12/0.41 ;
% 0.12/0.41 ; Run time in seconds excluding printing time:
% 0.12/0.41 ; 0.002 9% Read assertion file (1 call)
% 0.12/0.41 ; 0.000 0% Assert (9 calls)
% 0.12/0.41 ; 0.001 4% Process new row (129 calls)
% 0.12/0.41 ; 0.001 4% Resolution (22 calls)
% 0.12/0.41 ; 0.000 0% Paramodulation (11 calls)
% 0.12/0.41 ; 0.000 0% Condensing (4 calls)
% 0.12/0.41 ; 0.000 0% Forward subsumption (4 calls)
% 0.12/0.41 ; 0.000 0% Backward subsumption (4 calls)
% 0.12/0.41 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.12/0.41 ; 0.003 13% Forward simplification (129 calls)
% 0.12/0.41 ; 0.001 4% Backward simplification (54 calls)
% 0.12/0.41 ; 0.000 0% Sortal reasoning (32 calls)
% 0.12/0.41 ; 0.000 0% Purity testing (1 call)
% 0.12/0.41 ; 0.015 65% Other
% 0.12/0.41 ; 0.023 Total
% 0.12/0.41 ; 0.024 Real time
% 0.12/0.41 ;
% 0.12/0.41 ; Term-hash-array has 88 terms in all.
% 0.12/0.41 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.12/0.41 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.12/0.41 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.12/0.41 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.12/0.41 ; Path-index has 90 entries (91 at peak, 92 added, 2 deleted).
% 0.12/0.41 ; Path-index has 160 nodes (160 at peak, 162 added, 2 deleted).
% 0.12/0.41 ; Trie-index has 90 entries (91 at peak, 92 added, 2 deleted).
% 0.12/0.41 ; Trie-index has 257 nodes (261 at peak, 263 added, 6 deleted).
% 0.12/0.41 ; Retrieved 124 generalization terms in 134 calls.
% 0.12/0.41 ; Retrieved 55 instance terms in 49 calls.
% 0.12/0.41 ; Retrieved 2,720 unifiable terms in 357 calls.
% 0.12/0.41 ;
% 0.12/0.41 ; The agenda of rows to process has 29 entries:
% 0.12/0.41 ; 11 with value 10 8 with value 12 4 with value 13
% 0.12/0.41 ; 6 with value 11
% 0.12/0.41 ; The agenda of rows to give has 40 entries:
% 0.12/0.41 ; 1 with value (4 6) 7 with value (4 9) 5 with value (4 12)
% 0.12/0.41 ; 1 with value (4 7) 7 with value (4 10) 3 with value (4 13)
% 0.12/0.41 ; 3 with value (4 8) 9 with value (4 11) 4 with value (4 14)
% 0.12/0.41 Evaluation took:
% 0.12/0.41 0.024 seconds of real time
% 0.12/0.41 0.020268 seconds of user run time
% 0.12/0.41 0.003937 seconds of system run time
% 0.12/0.41 0 calls to %EVAL
% 0.12/0.41 0 page faults and
% 0.12/0.41 2,313,664 bytes consed.
% 0.12/0.41 :PROOF-FOUND
% 0.12/0.41 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T11:48:43
% 0.12/0.41 :PROOF-FOUND
% 0.12/0.41 *
%------------------------------------------------------------------------------