%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP048-2 : 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 11:35:28 EDT 2022
% Result : Unsatisfiable 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 25 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
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(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/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_inverse_substitution,negated_conjecture,
~ equalish(inverse(a),inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_substitution) ).
cnf(15,plain,
~ product(identity,inverse(a),inverse(b)),
inference('UR-RESOLVE',[status(thm)],[total_function2,left_identity,prove_inverse_substitution]) ).
cnf(18,plain,
product(identity,a,b),
inference('HYPERRESOLVE',[status(thm)],[product_substitution3,a_equals_b,left_identity]) ).
cnf(21,plain,
product(inverse(inverse(X)),identity,X),
inference('HYPERRESOLVE',[status(thm)],[associativity1,left_inverse,left_inverse,left_identity]) ).
cnf(276,plain,
product(X,identity,X),
inference('HYPERRESOLVE',[status(thm)],[associativity2,21,left_identity,21]) ).
cnf(277,plain,
product(X,inverse(X),identity),
inference('HYPERRESOLVE',[status(thm)],[associativity2,21,left_identity,left_inverse]) ).
cnf(362,plain,
~ product(b,inverse(a),identity),
inference('UR-RESOLVE',[status(thm)],[associativity2,276,left_inverse,15]) ).
cnf(481,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,277,18,left_identity]),362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 13:59:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:59:21
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T13:59:21
% 0.21/0.52
% 0.21/0.52 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.21/0.52 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.21/0.52 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.21/0.52 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.49/0.66 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.49/0.66
% 0.49/0.66 #||
% 0.49/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation
% See solution above
% 0.49/0.66 ||#
% 0.49/0.66
% 0.49/0.66 ; Summary of computation:
% 0.49/0.66 ; 3521 formulas have been input or derived (from 36 formulas).
% 0.49/0.66 ; 481 (14%) were retained. Of these,
% 0.49/0.66 ; 21 ( 4%) were simplified or subsumed later,
% 0.49/0.66 ; 460 (96%) are still being kept.
% 0.49/0.66 ;
% 0.49/0.66 ; Run time in seconds excluding printing time:
% 0.49/0.66 ; 0.003 2% Read assertion file (1 call)
% 0.49/0.66 ; 0.000 0% Assert (9 calls)
% 0.49/0.66 ; 0.035 22% Process new row (2,677 calls)
% 0.49/0.66 ; 0.073 45% Resolution (70 calls)
% 0.49/0.66 ; 0.000 0% Paramodulation (35 calls)
% 0.49/0.66 ; 0.000 0% Condensing (4 calls)
% 0.49/0.66 ; 0.000 0% Forward subsumption (4 calls)
% 0.49/0.66 ; 0.000 0% Backward subsumption (4 calls)
% 0.49/0.66 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.49/0.66 ; 0.014 9% Forward simplification (2,649 calls)
% 0.49/0.66 ; 0.007 4% Backward simplification (481 calls)
% 0.49/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.49/0.66 ; 0.000 0% Purity testing (1 call)
% 0.49/0.66 ; 0.029 18% Other
% 0.49/0.66 ; 0.161 Total
% 0.49/0.66 ; 0.162 Real time
% 0.49/0.66 ;
% 0.49/0.67 ; Term-hash-array has 646 terms in all.
% 0.49/0.67 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.49/0.67 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.49/0.67 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.49/0.67 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.49/0.67 ; Path-index has 625 entries (625 at peak, 650 added, 25 deleted).
% 0.49/0.67 ; Path-index has 454 nodes (454 at peak, 460 added, 6 deleted).
% 0.49/0.67 ; Trie-index has 625 entries (625 at peak, 650 added, 25 deleted).
% 0.49/0.67 ; Trie-index has 1,800 nodes (1,800 at peak, 1,860 added, 60 deleted).
% 0.49/0.67 ; Retrieved 3,220 generalization terms in 2,658 calls.
% 0.49/0.67 ; Retrieved 677 instance terms in 476 calls.
% 0.49/0.67 ; Retrieved 83,761 unifiable terms in 4,218 calls.
% 0.49/0.67 ;
% 0.49/0.67 ; The agenda of rows to process has 477 entries:
% 0.49/0.67 ; 51 with value 10 86 with value 13 26 with value 16
% 0.49/0.67 ; 80 with value 11 88 with value 14 8 with value 17
% 0.49/0.67 ; 76 with value 12 62 with value 15
% 0.49/0.67 ; The agenda of rows to give has 425 entries:
% 0.49/0.67 ; 16 with value (4 10) 69 with value (4 13) 30 with value (4 16)
% 0.49/0.67 ; 42 with value (4 11) 105 with value (4 14) 6 with value (4 17)
% 0.49/0.67 ; 61 with value (4 12) 96 with value (4 15)
% 0.49/0.67 Evaluation took:
% 0.49/0.67 0.162 seconds of real time
% 0.49/0.67 0.145474 seconds of user run time
% 0.49/0.67 0.017001 seconds of system run time
% 0.49/0.67 0 calls to %EVAL
% 0.49/0.67 0 page faults and
% 0.49/0.67 9,078,576 bytes consed.
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:59:21
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 *
%------------------------------------------------------------------------------