TSTP Solution File: GRP012-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 11:35:13 EDT 2022
% Result : Unsatisfiable 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 22 ( 2 equ; 11 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 : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
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_multiply_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_c) ).
cnf(inverse_b_multiply_inverse_a_is_d,hypothesis,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).
cnf(prove_c_inverse_equals_d,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_equals_d) ).
cnf(16,plain,
~ product(identity,d,inverse(c)),
inference('UR-RESOLVE',[status(thm)],[total_function2,left_identity,prove_c_inverse_equals_d]) ).
cnf(25,plain,
product(b,d,inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[associativity1,right_inverse,inverse_b_multiply_inverse_a_is_d,left_identity]) ).
cnf(64,plain,
~ product(c,d,identity),
inference('UR-RESOLVE',[status(thm)],[associativity2,16,left_inverse,right_identity]) ).
cnf(72,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity2,64,a_multiply_b_is_c,right_inverse]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Tue Jun 14 09:53:25 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.23/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50 *
% 0.23/0.50 *
% 0.23/0.51 #<PACKAGE "SNARK-USER">
% 0.23/0.51 *
% 0.23/0.51 SNARK-TPTP-OPTIONS
% 0.23/0.51 *
% 0.23/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51 (USE-FACTORING :POS)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51 *
% 0.23/0.51 "."
% 0.23/0.51 *
% 0.23/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:53:25
% 0.23/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-14T09:53:25
% 0.23/0.52
% 0.23/0.52 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.23/0.52 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.23/0.52 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.23/0.52 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.23/0.52 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.23/0.52 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.23/0.52 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.41/0.56 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.41/0.56
% 0.41/0.56 #||
% 0.41/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.56 % SZS output start Refutation
% See solution above
% 0.41/0.56 ||#
% 0.41/0.56
% 0.41/0.56 ; Summary of computation:
% 0.41/0.56 ; 577 formulas have been input or derived (from 18 formulas).
% 0.41/0.56 ; 72 (12%) were retained. Of these,
% 0.41/0.56 ; 72 (100%) are still being kept.
% 0.41/0.56 ;
% 0.41/0.56 ; Run time in seconds excluding printing time:
% 0.41/0.56 ; 0.003 6% Read assertion file (1 call)
% 0.41/0.56 ; 0.001 2% Assert (11 calls)
% 0.41/0.56 ; 0.005 9% Process new row (504 calls)
% 0.41/0.56 ; 0.012 22% Resolution (34 calls)
% 0.41/0.56 ; 0.000 0% Paramodulation (17 calls)
% 0.41/0.56 ; 0.000 0% Condensing (3 calls)
% 0.41/0.56 ; 0.000 0% Forward subsumption (3 calls)
% 0.41/0.56 ; 0.000 0% Backward subsumption (3 calls)
% 0.41/0.56 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.41/0.56 ; 0.007 13% Forward simplification (504 calls)
% 0.41/0.56 ; 0.001 2% Backward simplification (72 calls)
% 0.41/0.56 ; 0.000 0% Ordering (25 calls)
% 0.41/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.56 ; 0.000 0% Purity testing (1 call)
% 0.41/0.56 ; 0.025 46% Other
% 0.41/0.56 ; 0.054 Total
% 0.41/0.56 ; 0.056 Real time
% 0.41/0.56 ;
% 0.41/0.56 ; Term-hash-array has 130 terms in all.
% 0.41/0.56 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.41/0.56 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.41/0.56 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.41/0.56 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.41/0.56 ; Path-index has 135 entries (135 at peak, 135 added, 0 deleted).
% 0.41/0.56 ; Path-index has 232 nodes (232 at peak, 232 added, 0 deleted).
% 0.41/0.56 ; Trie-index has 135 entries (135 at peak, 135 added, 0 deleted).
% 0.41/0.56 ; Trie-index has 396 nodes (396 at peak, 396 added, 0 deleted).
% 0.41/0.56 ; Retrieved 1,036 generalization terms in 1,239 calls.
% 0.41/0.56 ; Retrieved 68 instance terms in 68 calls.
% 0.41/0.56 ; Retrieved 5,464 unifiable terms in 883 calls.
% 0.41/0.56 ;
% 0.41/0.56 ; The agenda of rows to process has 18 entries:
% 0.41/0.56 ; 7 with value 10 3 with value 13 1 with value 14
% 0.41/0.56 ; 7 with value 11
% 0.41/0.56 ; The agenda of rows to give has 54 entries:
% 0.41/0.56 ; 7 with value (4 8) 4 with value (4 12) 10 with value (4 14)
% 0.41/0.56 ; 14 with value (4 10) 5 with value (4 13) 2 with value (4 15)
% 0.41/0.56 ; 12 with value (4 11)
% 0.41/0.56 Evaluation took:
% 0.41/0.56 0.057 seconds of real time
% 0.41/0.56 0.049375 seconds of user run time
% 0.41/0.56 0.007145 seconds of system run time
% 0.41/0.56 0 calls to %EVAL
% 0.41/0.56 0 page faults and
% 0.41/0.56 3,185,032 bytes consed.
% 0.41/0.56 :PROOF-FOUND
% 0.41/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:53:25
% 0.41/0.56 :PROOF-FOUND
% 0.41/0.56 *
%------------------------------------------------------------------------------