TSTP Solution File: GRP117-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 11:36:13 EDT 2022
% Result : Unsatisfiable 3.38s 3.61s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 2 RR)
% Number of literals : 43 ( 42 equ; 1 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 : 151 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_order3,negated_conjecture,
multiply(a,identity) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
cnf(3,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),multiply(identity,multiply(multiply(identity,Z),multiply(identity,Z))))),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(12,plain,
multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(14,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(17,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(18,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(19,plain,
multiply(X,multiply(multiply(multiply(X,multiply(X,Y)),multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(21,plain,
multiply(multiply(X,multiply(X,multiply(multiply(X,Y),Z))),multiply(identity,multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(30,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[7,12,theory(equality)]) ).
cnf(33,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('REWRITE',[status(thm)],[19,30,theory(equality)]) ).
cnf(41,plain,
multiply(X,multiply(multiply(Y,Z),multiply(U,V))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),multiply(identity,V))),
inference('PARAMODULATE',[status(thm)],[12,7,theory(equality)]) ).
cnf(75,plain,
multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),V)) = multiply(X,multiply(multiply(multiply(Y,Z),U),V)),
inference('PARAMODULATE',[status(thm)],[30,7,theory(equality)]) ).
cnf(108,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[30,14,theory(equality)]) ).
cnf(310,plain,
multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,multiply(identity,multiply(identity,V))),W)) = multiply(X,multiply(multiply(Y,multiply(Z,multiply(U,V))),W)),
inference('PARAMODULATE',[status(thm)],[30,18,theory(equality)]) ).
cnf(373,plain,
multiply(multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(Y,multiply(Z,U)),V),W)),
inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).
cnf(378,plain,
multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(multiply(Y,Z),multiply(identity,U)),V),W)),
inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).
cnf(387,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(multiply(U,V),multiply(identity,W)))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(U,multiply(V,W)))),
inference('PARAMODULATE',[status(thm)],[17,108,theory(equality)]) ).
cnf(445,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),387,7,75,theory(equality)]) ).
cnf(472,plain,
multiply(multiply(X,multiply(X,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,U)),V)),multiply(multiply(identity,V),multiply(identity,V)))) = multiply(multiply(Y,Z),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,12,theory(equality)]),387,378,theory(equality)]) ).
cnf(495,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,Z),multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[14,33,theory(equality)]) ).
cnf(497,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).
cnf(500,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z))),U)) = multiply(Y,multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,33,theory(equality)]) ).
cnf(506,plain,
multiply(multiply(X,Y),multiply(multiply(identity,multiply(Y,multiply(Y,Z))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U))))) = multiply(X,Z),
inference('PARAMODULATE',[status(thm)],[30,33,theory(equality)]) ).
cnf(510,plain,
multiply(X,Y) = multiply(multiply(multiply(X,Z),multiply(identity,multiply(Z,multiply(Z,Y)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(identity,multiply(identity,multiply(U,U))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,33,theory(equality)]),7,41,theory(equality)]) ).
cnf(512,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(identity,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,7,theory(equality)]),7,theory(equality)]) ).
cnf(513,plain,
multiply(multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(Y,Z),
inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).
cnf(553,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,identity)))) = Y,
inference('PARAMODULATE',[status(thm)],[495,7,theory(equality)]) ).
cnf(568,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z)))))) = Y,
inference('PARAMODULATE',[status(thm)],[495,18,theory(equality)]) ).
cnf(592,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(multiply(identity,V),multiply(V,V)))) = multiply(multiply(identity,Z),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[495,30,theory(equality)]),310,7,75,theory(equality)]) ).
cnf(610,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,Z),multiply(Z,Z))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,495,theory(equality)]),495,500,7,373,theory(equality)]) ).
cnf(611,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),U) = multiply(multiply(identity,Z),U),
inference('REWRITE',[status(thm)],[592,610,theory(equality)]) ).
cnf(612,plain,
multiply(multiply(identity,X),multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = multiply(identity,X),
inference('REWRITE',[status(thm)],[512,611,theory(equality)]) ).
cnf(613,plain,
multiply(multiply(X,Y),multiply(identity,multiply(Y,multiply(Y,Z)))) = multiply(X,Z),
inference('REWRITE',[status(thm)],[506,612,theory(equality)]) ).
cnf(614,plain,
multiply(X,Y) = multiply(multiply(X,Y),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z))))),
inference('REWRITE',[status(thm)],[510,613,theory(equality)]) ).
cnf(616,plain,
multiply(X,multiply(X,multiply(X,Y))) = Y,
inference('REWRITE',[status(thm)],[568,614,theory(equality)]) ).
cnf(621,plain,
multiply(multiply(X,Y),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[472,616,theory(equality)]) ).
cnf(623,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),Z) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[445,621,theory(equality)]) ).
cnf(624,plain,
multiply(X,multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = X,
inference('REWRITE',[status(thm)],[497,623,theory(equality)]) ).
cnf(665,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[513,624,theory(equality)]) ).
cnf(666,plain,
multiply(X,identity) = X,
inference('REWRITE',[status(thm)],[553,665,theory(equality)]) ).
cnf(672,plain,
$false,
inference('REWRITE',[status(thm)],[prove_order3,666,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n005.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 : Mon Jun 13 20:25:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:25:39
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-13T20:25:39
% 3.38/3.61
% 3.38/3.61
% 3.38/3.61 #||
% 3.38/3.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/3.61 % SZS output start Refutation
% See solution above
% 3.45/3.62 ||#
% 3.45/3.62
% 3.45/3.62 ; Summary of computation:
% 3.45/3.62 ; 1287 formulas have been input or derived (from 15 formulas).
% 3.45/3.62 ; 672 (52%) were retained. Of these,
% 3.45/3.62 ; 206 (31%) were simplified or subsumed later,
% 3.45/3.62 ; 466 (69%) are still being kept.
% 3.45/3.62 ;
% 3.45/3.62 ; Run time in seconds excluding printing time:
% 3.45/3.62 ; 0.001 0% Read assertion file (1 call)
% 3.45/3.62 ; 0.000 0% Assert (2 calls)
% 3.45/3.62 ; 0.110 4% Process new row (1,172 calls)
% 3.45/3.62 ; 0.001 0% Resolution (28 calls)
% 3.45/3.62 ; 0.026 1% Paramodulation (14 calls)
% 3.45/3.62 ; 0.347 11% Forward simplification (1,151 calls)
% 3.45/3.62 ; 0.124 4% Backward simplification (672 calls)
% 3.45/3.62 ; 2.491 80% Ordering (156,601 calls)
% 3.45/3.62 ; 0.000 0% Sortal reasoning (32 calls)
% 3.45/3.62 ; 0.001 0% Purity testing (1 call)
% 3.45/3.62 ; 0.027 1% Other
% 3.45/3.62 ; 3.128 Total
% 3.45/3.62 ; 3.139 Real time
% 3.45/3.62 ;
% 3.45/3.62 ; Term-hash-array has 2,043 terms in all.
% 3.45/3.62 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.45/3.62 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.45/3.62 ; Path-index has 1,350 entries (1,811 at peak, 2,148 added, 798 deleted).
% 3.45/3.63 ; Path-index has 913 nodes (984 at peak, 1,376 added, 463 deleted).
% 3.45/3.63 ; Trie-index has 1,350 entries (1,811 at peak, 2,148 added, 798 deleted).
% 3.45/3.63 ; Trie-index has 10,171 nodes (15,478 at peak, 18,463 added, 8,292 deleted).
% 3.45/3.63 ; Retrieved 55,823 generalization terms in 17,081 calls.
% 3.45/3.63 ; Retrieved 19,842 instance terms in 1,494 calls.
% 3.45/3.63 ; Retrieved 5,197 unifiable terms in 156 calls.
% 3.45/3.63 ;
% 3.45/3.63 ; The agenda of backward simplifiable rows to process has 109 entries:
% 3.45/3.63 ; 109 with value 0
% 3.45/3.63 ; The agenda of rows to process has 1 entry:
% 3.45/3.63 ; 1 with value 61
% 3.45/3.63 ; The agenda of rows to give has 457 entries:
% 3.45/3.63 ; 1 with value (4 12) 16 with value (4 32) 2 with value (4 44)
% 3.45/3.63 ; 1 with value (4 18) 16 with value (4 33) 13 with value (4 45)
% 3.45/3.63 ; 2 with value (4 19) 33 with value (4 34) 2 with value (4 46)
% 3.45/3.63 ; 1 with value (4 21) 11 with value (4 35) 2 with value (4 47)
% 3.45/3.63 ; 1 with value (4 23) 32 with value (4 36) 2 with value (4 48)
% 3.45/3.63 ; 1 with value (4 24) 12 with value (4 37) 3 with value (4 49)
% 3.45/3.63 ; 3 with value (4 25) 16 with value (4 38) 1 with value (4 50)
% 3.45/3.63 ; 3 with value (4 26) 30 with value (4 39) 2 with value (4 51)
% 3.45/3.63 ; 2 with value (4 28) 76 with value (4 40) 1 with value (4 53)
% 3.45/3.63 ; 6 with value (4 29) 127 with value (4 41) 2 with value (4 56)
% 3.45/3.63 ; 2 with value (4 30) 8 with value (4 42) 1 with value (4 61)
% 3.45/3.63 ; 7 with value (4 31) 19 with value (4 43)
% 3.45/3.63 Evaluation took:
% 3.45/3.63 3.139 seconds of real time
% 3.45/3.63 2.949406 seconds of user run time
% 3.45/3.63 0.189125 seconds of system run time
% 3.45/3.63 [Run times include 0.096 seconds GC run time.]
% 3.45/3.63 0 calls to %EVAL
% 3.45/3.63 0 page faults and
% 3.45/3.63 227,295,632 bytes consed.
% 3.45/3.63 :PROOF-FOUND
% 3.45/3.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:25:42
% 3.45/3.63 :PROOF-FOUND
% 3.45/3.63 *
%------------------------------------------------------------------------------