%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP011-4 : 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 11:35:13 EDT 2022
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(product_equality,hypothesis,
multiply(b,c) = multiply(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_equality) ).
cnf(prove_left_cancellation,negated_conjecture,
b != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation) ).
cnf(7,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(10,plain,
multiply(multiply(X,inverse(Y)),Y) = multiply(X,identity),
inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]) ).
cnf(18,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[7,left_inverse,theory(equality)]) ).
cnf(19,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(20,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[18,19,theory(equality)]) ).
cnf(21,plain,
multiply(multiply(X,inverse(Y)),Y) = X,
inference('REWRITE',[status(thm)],[10,20,theory(equality)]) ).
cnf(27,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(30,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('PARAMODULATE',[status(thm)],[21,27,theory(equality)]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,product_equality,theory(equality)]),prove_left_cancellation,30,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % 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 05:31:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:31:36
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T05:31:36
% 0.22/0.51
% 0.22/0.51 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.22/0.51 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.22/0.53 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.22/0.53
% 0.22/0.53 #||
% 0.22/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.53 % SZS output start Refutation
% See solution above
% 0.22/0.53 ||#
% 0.22/0.53
% 0.22/0.53 ; Summary of computation:
% 0.22/0.53 ; 100 formulas have been input or derived (from 14 formulas).
% 0.22/0.53 ; 32 (32%) were retained. Of these,
% 0.22/0.53 ; 5 (16%) were simplified or subsumed later,
% 0.22/0.53 ; 27 (84%) are still being kept.
% 0.22/0.53 ;
% 0.22/0.53 ; Run time in seconds excluding printing time:
% 0.22/0.53 ; 0.001 3% Read assertion file (1 call)
% 0.22/0.53 ; 0.001 3% Assert (5 calls)
% 0.22/0.53 ; 0.003 8% Process new row (88 calls)
% 0.22/0.53 ; 0.001 3% Resolution (26 calls)
% 0.22/0.53 ; 0.004 11% Paramodulation (13 calls)
% 0.22/0.53 ; 0.003 8% Forward simplification (88 calls)
% 0.22/0.53 ; 0.000 0% Backward simplification (32 calls)
% 0.22/0.53 ; 0.001 3% Ordering (268 calls)
% 0.22/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.53 ; 0.000 0% Purity testing (1 call)
% 0.22/0.53 ; 0.022 61% Other
% 0.22/0.53 ; 0.036 Total
% 0.22/0.53 ; 0.038 Real time
% 0.22/0.53 ;
% 0.22/0.53 ; Term-hash-array has 86 terms in all.
% 0.22/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.22/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.22/0.53 ; Path-index has 81 entries (81 at peak, 92 added, 11 deleted).
% 0.22/0.53 ; Path-index has 167 nodes (167 at peak, 176 added, 9 deleted).
% 0.22/0.53 ; Trie-index has 81 entries (81 at peak, 92 added, 11 deleted).
% 0.22/0.53 ; Trie-index has 266 nodes (266 at peak, 302 added, 36 deleted).
% 0.22/0.53 ; Retrieved 163 generalization terms in 299 calls.
% 0.22/0.53 ; Retrieved 50 instance terms in 45 calls.
% 0.22/0.53 ; Retrieved 173 unifiable terms in 75 calls.
% 0.22/0.53 ;
% 0.22/0.53 ; The agenda of rows to process has 12 entries:
% 0.22/0.53 ; 1 with value 15 4 with value 17 4 with value 20
% 0.22/0.53 ; 3 with value 16
% 0.22/0.53 ; The agenda of rows to give has 13 entries:
% 0.22/0.53 ; 3 with value (4 15) 2 with value (4 18) 5 with value (4 20)
% 0.22/0.53 ; 1 with value (4 16) 2 with value (4 19)
% 0.22/0.53 Evaluation took:
% 0.22/0.53 0.038 seconds of real time
% 0.22/0.53 0.033707 seconds of user run time
% 0.22/0.53 0.004048 seconds of system run time
% 0.22/0.53 0 calls to %EVAL
% 0.22/0.53 0 page faults and
% 0.22/0.53 2,386,920 bytes consed.
% 0.22/0.53 :PROOF-FOUND
% 0.22/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:31:36
% 0.22/0.53 :PROOF-FOUND
% 0.22/0.53 *
%------------------------------------------------------------------------------