TSTP Solution File: RNG026-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 20:40:36 EDT 2022
% Result : Unsatisfiable 0.12s 0.42s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(associator,axiom,
associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(inverse_product1,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product1) ).
cnf(inverse_product2,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).
cnf(distributivity_of_difference3,axiom,
multiply(additive_inverse(X),add(Y,Z)) = add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(X,Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference3) ).
cnf(18,plain,
additive_inverse(add(multiply(X,Y),multiply(X,Z))) = add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(X,Z))),
inference('REWRITE',[status(thm)],[distributivity_of_difference3,distribute1,inverse_product1,theory(equality)]) ).
cnf(prove_teichmuller_identity,negated_conjecture,
add(associator(multiply(a,b),c,d),add(associator(a,b,multiply(c,d)),additive_inverse(add(associator(a,multiply(b,c),d),add(multiply(a,associator(b,c,d)),multiply(associator(a,b,c),d)))))) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_teichmuller_identity) ).
cnf(21,plain,
add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(multiply(b,c),d)),additive_inverse(add(multiply(a,multiply(multiply(b,c),d)),multiply(a,multiply(b,multiply(c,d)))))))))) != additive_identity,
inference('REWRITE',[status(thm)],[prove_teichmuller_identity,left_additive_identity,18,inverse_product1,distribute2,inverse_product2,distribute1,associator,theory(equality)]) ).
cnf(23,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(25,plain,
$false,
inference('REWRITE',[status(thm)],[21,additive_inverse_additive_inverse,23,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon May 30 07:05:57 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 *
% 0.12/0.38 *
% 0.12/0.39 #<PACKAGE "SNARK-USER">
% 0.12/0.39 *
% 0.12/0.39 SNARK-TPTP-OPTIONS
% 0.12/0.39 *
% 0.12/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.39 (USE-FACTORING :POS)
% 0.12/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.39 *
% 0.12/0.39 "."
% 0.12/0.39 *
% 0.12/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T07:05:57
% 0.12/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T07:05:57
% 0.12/0.40
% 0.12/0.40 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.12/0.40 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.12/0.40 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.12/0.40 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.12/0.40 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.12/0.40 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.12/0.40 ; Declaring add to be commutative.
% 0.12/0.42 ; Declaring add to be associative-commutative.
% 0.12/0.42
% 0.12/0.42 #||
% 0.12/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42 % SZS output start Refutation
% See solution above
% 0.12/0.42 ||#
% 0.12/0.42
% 0.12/0.42 ; Summary of computation:
% 0.12/0.42 ; 62 formulas have been input or derived (from 7 formulas).
% 0.12/0.42 ; 25 (40%) were retained. Of these,
% 0.12/0.42 ; 4 (16%) were simplified or subsumed later,
% 0.12/0.42 ; 21 (84%) are still being kept.
% 0.12/0.42 ;
% 0.12/0.42 ; Run time in seconds excluding printing time:
% 0.12/0.42 ; 0.005 15% Read assertion file (1 call)
% 0.12/0.42 ; 0.000 0% Assert (23 calls)
% 0.12/0.42 ; 0.001 3% Process new row (49 calls)
% 0.12/0.42 ; 0.000 0% Resolution (12 calls)
% 0.12/0.42 ; 0.002 6% Paramodulation (6 calls)
% 0.12/0.42 ; 0.000 0% Embedding (8 calls)
% 0.12/0.42 ; 0.002 6% Forward simplification (45 calls)
% 0.12/0.42 ; 0.002 6% Backward simplification (19 calls)
% 0.12/0.42 ; 0.000 0% Ordering (63 calls)
% 0.12/0.42 ; 0.000 0% Ordering ac (7 calls)
% 0.12/0.42 ; 0.001 3% Sortal reasoning (32 calls)
% 0.12/0.42 ; 0.000 0% Purity testing (1 call)
% 0.12/0.42 ; 0.021 62% Other
% 0.12/0.42 ; 0.034 Total
% 0.12/0.42 ; 0.035 Real time
% 0.12/0.42 ;
% 0.12/0.42 ; Term-hash-array has 87 terms in all.
% 0.12/0.42 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.12/0.42 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.12/0.42 ; Path-index has 74 entries (87 at peak, 97 added, 23 deleted).
% 0.12/0.42 ; Path-index has 312 nodes (409 at peak, 415 added, 103 deleted).
% 0.12/0.42 ; Trie-index has 74 entries (87 at peak, 97 added, 23 deleted).
% 0.12/0.42 ; Trie-index has 106 nodes (141 at peak, 152 added, 46 deleted).
% 0.12/0.42 ; Retrieved 294 generalization terms in 244 calls.
% 0.12/0.42 ; Retrieved 32 instance terms in 22 calls.
% 0.12/0.42 ; Retrieved 88 unifiable terms in 29 calls.
% 0.12/0.42 ;
% 0.12/0.42 ; The agenda of rows to process has 9 entries:
% 0.12/0.42 ; 1 with value 18 2 with value 20 2 with value 24
% 0.12/0.42 ; 3 with value 19 1 with value 22
% 0.12/0.42 ; The agenda of input rows to give has 11 entries:
% 0.12/0.42 ; 2 with value 12 4 with value 16 3 with value 22
% 0.12/0.42 ; 2 with value 14
% 0.12/0.42 ; The agenda of rows to give has 3 entries:
% 0.12/0.42 ; 1 with value (4 7) 2 with value (4 14)
% 0.12/0.42 Evaluation took:
% 0.12/0.42 0.035 seconds of real time
% 0.12/0.42 0.032444 seconds of user run time
% 0.12/0.42 0.00285 seconds of system run time
% 0.12/0.42 0 calls to %EVAL
% 0.12/0.42 0 page faults and
% 0.12/0.42 3,017,528 bytes consed.
% 0.12/0.42 :PROOF-FOUND
% 0.12/0.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T07:05:57
% 0.12/0.42 :PROOF-FOUND
% 0.12/0.42 *
%------------------------------------------------------------------------------