%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 11:37:30 EDT 2022
% Result : Unsatisfiable 0.77s 0.97s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 21 ( 20 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_multiply,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).
cnf(condition,hypothesis,
multiply(X,multiply(Y,Y)) = multiply(Y,multiply(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(prove_this,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(4,plain,
multiply(multiply(multiply(a,multiply(a,a)),multiply(b,b)),multiply(multiply(a,b),b)) != multiply(multiply(multiply(a,b),multiply(b,a)),multiply(multiply(a,a),multiply(b,b))),
inference('REWRITE',[status(thm)],[prove_this,condition,associativity_of_multiply,theory(equality)]) ).
cnf(5,plain,
multiply(multiply(X,multiply(Y,Z)),U) = multiply(multiply(X,Y),multiply(Z,U)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,associativity_of_multiply,theory(equality)]) ).
cnf(8,plain,
multiply(multiply(multiply(X,Y),Z),U) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,associativity_of_multiply,theory(equality)]) ).
cnf(9,plain,
multiply(multiply(X,Y),multiply(Z,U)) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,associativity_of_multiply,theory(equality)]) ).
cnf(10,plain,
multiply(multiply(X,Y),Y) = multiply(Y,multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,condition,theory(equality)]) ).
cnf(11,plain,
multiply(multiply(X,X),Y) = multiply(Y,multiply(X,X)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,condition,theory(equality)]) ).
cnf(18,plain,
multiply(multiply(multiply(multiply(a,a),a),multiply(b,b)),multiply(multiply(a,b),b)) != multiply(multiply(multiply(a,b),multiply(b,a)),multiply(multiply(a,a),multiply(b,b))),
inference('PARAMODULATE',[status(thm)],[4,associativity_of_multiply,theory(equality)]) ).
cnf(26,plain,
multiply(multiply(X,X),Y) = multiply(multiply(Y,X),X),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,10,theory(equality)]) ).
cnf(43,plain,
multiply(multiply(X,X),multiply(Y,Y)) = multiply(multiply(Y,X),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[condition,11,theory(equality)]),9,theory(equality)]) ).
cnf(44,plain,
multiply(multiply(multiply(multiply(a,a),a),multiply(b,b)),multiply(multiply(a,b),b)) != multiply(multiply(multiply(a,b),multiply(b,a)),multiply(multiply(b,a),multiply(a,b))),
inference('REWRITE',[status(thm)],[18,43,theory(equality)]) ).
cnf(53,plain,
multiply(multiply(X,X),multiply(Y,Y)) = multiply(multiply(X,Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26,11,theory(equality)]),5,theory(equality)]) ).
cnf(69,plain,
multiply(multiply(multiply(X,Y),multiply(Z,U)),V) = multiply(multiply(X,multiply(Y,Z)),multiply(U,V)),
inference('PARAMODULATE',[status(thm)],[associativity_of_multiply,5,theory(equality)]) ).
cnf(92,plain,
multiply(multiply(X,multiply(Y,multiply(Z,U))),V) = multiply(multiply(X,multiply(Y,Z)),multiply(U,V)),
inference('PARAMODULATE',[status(thm)],[5,associativity_of_multiply,theory(equality)]) ).
cnf(95,plain,
multiply(multiply(X,multiply(multiply(Y,Z),U)),V) = multiply(multiply(X,Y),multiply(multiply(Z,U),V)),
inference('PARAMODULATE',[status(thm)],[5,associativity_of_multiply,theory(equality)]) ).
cnf(115,plain,
multiply(multiply(multiply(X,multiply(Y,Z)),multiply(U,V)),W) = multiply(multiply(multiply(X,Y),multiply(Z,U)),multiply(V,W)),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(309,plain,
multiply(multiply(X,multiply(Y,Z)),multiply(multiply(U,V),W)) = multiply(multiply(X,Y),multiply(multiply(multiply(Z,U),V),W)),
inference('PARAMODULATE',[status(thm)],[5,8,theory(equality)]) ).
cnf(362,plain,
multiply(multiply(multiply(X,Y),multiply(Z,U)),multiply(multiply(Y,Z),U)) = multiply(multiply(multiply(Y,Z),multiply(U,Y)),multiply(multiply(Z,U),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,8,theory(equality)]),309,115,92,69,95,theory(equality)]) ).
cnf(363,plain,
$false,
inference('REWRITE',[status(thm)],[44,53,362,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 10:05:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:05:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T10:05:59
% 0.19/0.48
% 0.77/0.97 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.77/0.97
% 0.77/0.97 #||
% 0.77/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.97 % SZS output start Refutation
% See solution above
% 0.77/0.97 ||#
% 0.77/0.97
% 0.77/0.97 ; Summary of computation:
% 0.77/0.97 ; 635 formulas have been input or derived (from 11 formulas).
% 0.77/0.97 ; 363 (57%) were retained. Of these,
% 0.77/0.97 ; 16 ( 4%) were simplified or subsumed later,
% 0.77/0.97 ; 347 (96%) are still being kept.
% 0.77/0.97 ;
% 0.77/0.97 ; Run time in seconds excluding printing time:
% 0.77/0.97 ; 0.001 0% Read assertion file (1 call)
% 0.77/0.97 ; 0.001 0% Assert (3 calls)
% 0.77/0.97 ; 0.046 9% Process new row (630 calls)
% 0.77/0.97 ; 0.001 0% Resolution (20 calls)
% 0.77/0.97 ; 0.010 2% Paramodulation (10 calls)
% 0.77/0.97 ; 0.140 28% Forward simplification (626 calls)
% 0.77/0.97 ; 0.037 7% Backward simplification (362 calls)
% 0.77/0.97 ; 0.234 47% Ordering (27,236 calls)
% 0.77/0.97 ; 0.002 0% Sortal reasoning (32 calls)
% 0.77/0.97 ; 0.000 0% Purity testing (1 call)
% 0.77/0.97 ; 0.023 5% Other
% 0.77/0.97 ; 0.495 Total
% 0.77/0.97 ; 0.498 Real time
% 0.77/0.97 ;
% 0.77/0.97 ; Term-hash-array has 791 terms in all.
% 0.77/0.97 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.77/0.97 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.77/0.97 ; Path-index has 764 entries (766 at peak, 804 added, 40 deleted).
% 0.77/0.97 ; Path-index has 372 nodes (376 at peak, 402 added, 30 deleted).
% 0.77/0.97 ; Trie-index has 764 entries (766 at peak, 804 added, 40 deleted).
% 0.77/0.97 ; Trie-index has 2,598 nodes (2,635 at peak, 2,926 added, 328 deleted).
% 0.77/0.97 ; Retrieved 47,922 generalization terms in 5,492 calls.
% 0.77/0.97 ; Retrieved 10,152 instance terms in 1,033 calls.
% 0.77/0.97 ; Retrieved 2,906 unifiable terms in 86 calls.
% 0.77/0.97 ;
% 0.77/0.97 ; The agenda of rows to process has 3 entries:
% 0.77/0.97 ; 1 with value 36 2 with value 37
% 0.77/0.97 ; The agenda of rows to give has 337 entries:
% 0.77/0.97 ; 7 with value (4 20) 106 with value (4 26) 1 with value (4 33)
% 0.77/0.97 ; 21 with value (4 21) 17 with value (4 27) 14 with value (4 34)
% 0.77/0.97 ; 5 with value (4 22) 2 with value (4 29) 6 with value (4 35)
% 0.77/0.97 ; 1 with value (4 24) 32 with value (4 30) 2 with value (4 36)
% 0.77/0.97 ; 25 with value (4 25) 93 with value (4 31) 5 with value (4 37)
% 0.77/0.97 Evaluation took:
% 0.77/0.97 0.498 seconds of real time
% 0.77/0.97 0.451785 seconds of user run time
% 0.77/0.97 0.046206 seconds of system run time
% 0.77/0.97 [Run times include 0.009 seconds GC run time.]
% 0.77/0.97 0 calls to %EVAL
% 0.77/0.97 0 page faults and
% 0.77/0.97 29,455,072 bytes consed.
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:05:59
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 *
%------------------------------------------------------------------------------