TSTP Solution File: RNG007-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 20:40:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 2 RR)
% Number of literals : 9 ( 8 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',left_additive_inverse) ).
cnf(additive_inverse_additive_inverse,axiom,
additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).
cnf(multiply_additive_inverse1,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).
cnf(multiply_additive_inverse2,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).
cnf(boolean_ring,hypothesis,
multiply(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolean_ring) ).
cnf(prove_inverse,negated_conjecture,
add(a,a) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse) ).
cnf(19,plain,
X = additive_inverse(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[boolean_ring,multiply_additive_inverse1,theory(equality)]),additive_inverse_additive_inverse,boolean_ring,multiply_additive_inverse2,theory(equality)]) ).
cnf(20,plain,
add(X,X) = additive_identity,
inference('REWRITE',[status(thm)],[left_additive_inverse,19,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[prove_inverse,20,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 05:04:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T05:04:27
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T05:04:27
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.49 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.49 ; Declaring add to be commutative.
% 0.20/0.51 ; Declaring add to be associative-commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 70 formulas have been input or derived (from 11 formulas).
% 0.20/0.51 ; 22 (31%) were retained. Of these,
% 0.20/0.51 ; 11 (50%) were simplified or subsumed later,
% 0.20/0.51 ; 11 (50%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (16 calls)
% 0.20/0.51 ; 0.002 6% Process new row (61 calls)
% 0.20/0.51 ; 0.001 3% Resolution (20 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (10 calls)
% 0.20/0.51 ; 0.000 0% Embedding (7 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (57 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (18 calls)
% 0.20/0.51 ; 0.000 0% Ordering (80 calls)
% 0.20/0.51 ; 0.000 0% Ordering ac (7 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.023 70% Other
% 0.20/0.51 ; 0.033 Total
% 0.20/0.51 ; 0.035 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 56 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 30 entries (54 at peak, 59 added, 29 deleted).
% 0.20/0.51 ; Path-index has 85 nodes (106 at peak, 106 added, 21 deleted).
% 0.20/0.51 ; Trie-index has 30 entries (54 at peak, 59 added, 29 deleted).
% 0.20/0.51 ; Trie-index has 52 nodes (88 at peak, 89 added, 37 deleted).
% 0.20/0.51 ; Retrieved 261 generalization terms in 196 calls.
% 0.20/0.51 ; Retrieved 41 instance terms in 19 calls.
% 0.20/0.51 ; Retrieved 100 unifiable terms in 49 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.20/0.51 ; 5 with value 0
% 0.20/0.51 ; The agenda of rows to process has 1 entry:
% 0.20/0.51 ; 1 with value 14
% 0.20/0.51 ; The agenda of input rows to give has 5 entries:
% 0.20/0.51 ; 2 with value 7 1 with value 14 2 with value 16
% 0.20/0.51 ; The agenda of rows to give has 1 entry:
% 0.20/0.51 ; 1 with value (4 7)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.035 seconds of real time
% 0.20/0.51 0.02697 seconds of user run time
% 0.20/0.51 0.008011 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,944,664 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T05:04:27
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------