TSTP Solution File: RNG017-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Mon Jul 18 20:40:34 EDT 2022
% Result : Unsatisfiable 0.42s 0.62s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 5 RR)
% Number of literals : 17 ( 16 equ; 3 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(left_multiplicative_zero,axiom,
multiply(additive_identity,X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_multiplicative_zero) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(5,plain,
add(additive_inverse(X),add(X,Y)) = add(additive_identity,Y),
inference('EMBED',[status(thm)],[left_additive_inverse]) ).
cnf(additive_inverse_additive_inverse,axiom,
additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',additive_inverse_additive_inverse) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(prove_distributivity,negated_conjecture,
multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(15,plain,
add(multiply(additive_inverse(x),y),multiply(additive_inverse(x),z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
inference('REWRITE',[status(thm)],[prove_distributivity,distribute1,theory(equality)]) ).
cnf(16,plain,
additive_identity = additive_inverse(additive_identity),
inference('PARAMODULATE',[status(thm)],[left_additive_identity,left_additive_inverse,theory(equality)]) ).
cnf(17,plain,
additive_inverse(X) = add(additive_inverse(add(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(36,plain,
additive_identity = add(multiply(X,Y),multiply(additive_inverse(X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distribute2,left_additive_inverse,theory(equality)]),left_multiplicative_zero,theory(equality)]) ).
cnf(71,plain,
additive_inverse(add(X,Y)) = add(additive_inverse(Y),additive_inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(73,plain,
add(multiply(additive_inverse(x),y),multiply(additive_inverse(x),z)) != additive_inverse(add(multiply(x,z),multiply(x,y))),
inference('REWRITE',[status(thm)],[15,71,theory(equality)]) ).
cnf(74,plain,
additive_inverse(add(X,additive_inverse(Y))) = add(additive_inverse(X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(100,plain,
additive_inverse(multiply(X,Y)) = multiply(additive_inverse(X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,36,theory(equality)]),left_additive_identity,16,theory(equality)]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[73,additive_inverse_additive_inverse,74,100,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 21:37:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T21:37:55
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T21:37:55
% 0.19/0.46
% 0.19/0.46 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.19/0.46 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.46 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.19/0.46 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.19/0.46 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.46 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.19/0.46 ; Declaring add to be commutative.
% 0.42/0.62 ; Declaring add to be associative-commutative.
% 0.42/0.62
% 0.42/0.62 #||
% 0.42/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.62 % SZS output start Refutation
% See solution above
% 0.42/0.62 ||#
% 0.42/0.62
% 0.42/0.62 ; Summary of computation:
% 0.42/0.62 ; 563 formulas have been input or derived (from 25 formulas).
% 0.42/0.62 ; 105 (19%) were retained. Of these,
% 0.42/0.62 ; 25 (24%) were simplified or subsumed later,
% 0.42/0.62 ; 80 (76%) are still being kept.
% 0.42/0.62 ;
% 0.42/0.62 ; Run time in seconds excluding printing time:
% 0.42/0.62 ; 0.004 2% Read assertion file (1 call)
% 0.42/0.62 ; 0.000 0% Assert (16 calls)
% 0.42/0.62 ; 0.013 8% Process new row (534 calls)
% 0.42/0.62 ; 0.001 1% Resolution (48 calls)
% 0.42/0.62 ; 0.019 12% Paramodulation (24 calls)
% 0.42/0.62 ; 0.001 1% Embedding (38 calls)
% 0.42/0.62 ; 0.068 41% Forward simplification (488 calls)
% 0.42/0.62 ; 0.006 4% Backward simplification (70 calls)
% 0.42/0.62 ; 0.009 5% Ordering (1,537 calls)
% 0.42/0.62 ; 0.023 14% Ordering ac (897 calls)
% 0.42/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.62 ; 0.001 1% Purity testing (1 call)
% 0.42/0.62 ; 0.020 12% Other
% 0.42/0.62 ; 0.165 Total
% 0.42/0.62 ; 0.168 Real time
% 0.42/0.62 ;
% 0.42/0.62 ; Term-hash-array has 387 terms in all.
% 0.42/0.62 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.42/0.62 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.42/0.62 ; Path-index has 298 entries (337 at peak, 413 added, 115 deleted).
% 0.42/0.62 ; Path-index has 511 nodes (554 at peak, 640 added, 129 deleted).
% 0.42/0.62 ; Trie-index has 298 entries (337 at peak, 413 added, 115 deleted).
% 0.42/0.62 ; Trie-index has 313 nodes (376 at peak, 443 added, 130 deleted).
% 0.42/0.62 ; Retrieved 48,572 generalization terms in 5,417 calls.
% 0.42/0.62 ; Retrieved 307 instance terms in 103 calls.
% 0.42/0.62 ; Retrieved 966 unifiable terms in 145 calls.
% 0.42/0.62 ;
% 0.42/0.62 ; The agenda of rows to process has 14 entries:
% 0.42/0.62 ; 1 with value 18 3 with value 20 1 with value 22
% 0.42/0.62 ; 1 with value 19 3 with value 21 5 with value 23
% 0.42/0.62 ; The agenda of rows to give has 59 entries:
% 0.42/0.62 ; 2 with value (4 14) 2 with value (4 19) 2 with value (4 25)
% 0.42/0.62 ; 5 with value (4 15) 6 with value (4 20) 4 with value (4 28)
% 0.42/0.62 ; 2 with value (4 16) 2 with value (4 22) 4 with value (4 52)
% 0.42/0.62 ; 2 with value (4 18) 28 with value (4 24)
% 0.42/0.62 Evaluation took:
% 0.42/0.62 0.169 seconds of real time
% 0.42/0.62 0.155926 seconds of user run time
% 0.42/0.62 0.013219 seconds of system run time
% 0.42/0.62 0 calls to %EVAL
% 0.42/0.62 0 page faults and
% 0.42/0.62 8,247,776 bytes consed.
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T21:37:56
% 0.44/0.62 :PROOF-FOUND
% 0.44/0.62 *
%------------------------------------------------------------------------------