%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Thu Jul 14 17:59:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 15 ( 14 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(right_cancellation,axiom,
( multiply(X,Y) != Z
| multiply(X,U) != Z
| Y = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
cnf(medial_law,axiom,
multiply(multiply(X,Y),multiply(Z,U)) = multiply(multiply(X,Z),multiply(Y,U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',medial_law) ).
cnf(idempotent_element,hypothesis,
multiply(an_element,an_element) = an_element,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent_element) ).
cnf(prove_this,negated_conjecture,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(6,plain,
multiply(multiply(a,multiply(b,e)),multiply(multiply(d,c),f)) != multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),
inference('REWRITE',[status(thm)],[prove_this,medial_law,theory(equality)]) ).
cnf(9,plain,
multiply(an_element,multiply(X,Y)) = multiply(multiply(an_element,X),multiply(an_element,Y)),
inference('PARAMODULATE',[status(thm)],[medial_law,idempotent_element,theory(equality)]) ).
cnf(11,plain,
multiply(multiply(multiply(X,Y),multiply(Z,U)),multiply(V,W)) = multiply(multiply(multiply(X,Z),V),multiply(multiply(Y,U),W)),
inference('PARAMODULATE',[status(thm)],[medial_law,medial_law,theory(equality)]) ).
cnf(12,plain,
multiply(multiply(X,Y),multiply(multiply(Z,U),multiply(V,W))) = multiply(multiply(X,multiply(Z,V)),multiply(Y,multiply(U,W))),
inference('PARAMODULATE',[status(thm)],[medial_law,medial_law,theory(equality)]) ).
cnf(22,plain,
multiply(an_element,multiply(X,multiply(Y,Z))) = multiply(multiply(an_element,X),multiply(multiply(an_element,Y),multiply(an_element,Z))),
inference('PARAMODULATE',[status(thm)],[9,9,theory(equality)]) ).
cnf(24,plain,
multiply(an_element,multiply(multiply(X,Y),Z)) = multiply(multiply(multiply(an_element,X),multiply(an_element,Y)),multiply(an_element,Z)),
inference('PARAMODULATE',[status(thm)],[9,9,theory(equality)]) ).
cnf(26,plain,
multiply(multiply(multiply(an_element,X),multiply(an_element,Y)),multiply(Z,U)) = multiply(multiply(an_element,Z),multiply(multiply(X,Y),U)),
inference('PARAMODULATE',[status(thm)],[medial_law,9,theory(equality)]) ).
cnf(28,plain,
multiply(multiply(an_element,multiply(X,Y)),multiply(Z,U)) = multiply(multiply(multiply(an_element,X),Z),multiply(multiply(an_element,Y),U)),
inference('PARAMODULATE',[status(thm)],[medial_law,9,theory(equality)]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[right_cancellation,9,6]),24,28,12,11,medial_law,9,idempotent_element,26,22,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 01:31:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:31:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-08T01:31:55
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 279 formulas have been input or derived (from 9 formulas).
% 0.19/0.52 ; 35 (13%) were retained. Of these,
% 0.19/0.52 ; 1 ( 3%) were simplified or subsumed later,
% 0.19/0.52 ; 34 (97%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (5 calls)
% 0.19/0.52 ; 0.010 17% Process new row (215 calls)
% 0.19/0.52 ; 0.005 9% Resolution (16 calls)
% 0.19/0.52 ; 0.001 2% Paramodulation (8 calls)
% 0.19/0.52 ; 0.000 0% Condensing (23 calls)
% 0.19/0.52 ; 0.001 2% Forward subsumption (23 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (11 calls)
% 0.19/0.52 ; 0.002 3% Clause clause subsumption (40 calls)
% 0.19/0.52 ; 0.007 12% Forward simplification (215 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (34 calls)
% 0.19/0.52 ; 0.009 16% Ordering (476 calls)
% 0.19/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.020 34% Other
% 0.19/0.52 ; 0.058 Total
% 0.19/0.52 ; 0.060 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 148 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.19/0.52 ; Retrieved 61 possibly forward subsuming rows in 23 calls.
% 0.19/0.52 ; Retrieved 4 possibly backward subsumed rows in 11 calls.
% 0.19/0.52 ; Path-index has 155 entries (155 at peak, 155 added, 0 deleted).
% 0.19/0.52 ; Path-index has 221 nodes (221 at peak, 221 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 155 entries (155 at peak, 155 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 683 nodes (683 at peak, 683 added, 0 deleted).
% 0.19/0.52 ; Retrieved 405 generalization terms in 732 calls.
% 0.19/0.52 ; Retrieved 57 instance terms in 46 calls.
% 0.19/0.52 ; Retrieved 2,029 unifiable terms in 306 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 4 entries:
% 0.19/0.52 ; 4 with value 36
% 0.19/0.52 ; The agenda of rows to give has 25 entries:
% 0.19/0.52 ; 1 with value (4 16) 4 with value (4 27) 2 with value (4 30)
% 0.19/0.52 ; 1 with value (4 17) 4 with value (4 28) 2 with value (4 33)
% 0.19/0.52 ; 4 with value (4 25) 3 with value (4 29) 4 with value (4 37)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.061 seconds of real time
% 0.19/0.52 0.048552 seconds of user run time
% 0.19/0.52 0.012097 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,938,648 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:31:55
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------