TSTP Solution File: BOO005-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 23:48:52 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 2 RR)
% Number of literals : 14 ( 13 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity1) ).
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
cnf(prove_a_plus_1_is_a,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_1_is_a) ).
cnf(8,plain,
add(X,multiply(Y,Z)) = add(add(multiply(X,X),multiply(X,Y)),add(multiply(X,Z),multiply(Y,Z))),
inference('REWRITE',[status(thm)],[distributivity1,distributivity2,theory(equality)]) ).
cnf(11,plain,
multiply(X,Y) = add(multiply(X,Y),multiply(X,additive_identity)),
inference('PARAMODULATE',[status(thm)],[distributivity2,additive_id1,theory(equality)]) ).
cnf(20,plain,
X = add(add(multiply(X,X),multiply(X,inverse(Y))),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(30,plain,
additive_identity = multiply(X,additive_identity),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,multiplicative_inverse1,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(31,plain,
X = add(multiply(X,X),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,30,theory(equality)]),30,additive_id1,theory(equality)]) ).
cnf(32,plain,
X = add(X,multiply(X,Y)),
inference('REWRITE',[status(thm)],[20,31,theory(equality)]) ).
cnf(43,plain,
multiplicative_identity = add(multiplicative_identity,X),
inference('PARAMODULATE',[status(thm)],[32,multiplicative_id1,theory(equality)]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[prove_a_plus_1_is_a,43,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 1 21:16:12 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 2022-06-01T21:16:12
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-01T21:16:12
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.19/0.47 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.47 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.19/0.47 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.19/0.47 ; Declaring add to be commutative.
% 0.19/0.51 ; Declaring multiply to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % 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 ; 150 formulas have been input or derived (from 14 formulas).
% 0.19/0.52 ; 44 (29%) were retained. Of these,
% 0.19/0.52 ; 16 (36%) were simplified or subsumed later,
% 0.19/0.52 ; 28 (64%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (9 calls)
% 0.19/0.52 ; 0.005 9% Process new row (134 calls)
% 0.19/0.52 ; 0.001 2% Resolution (26 calls)
% 0.19/0.52 ; 0.004 8% Paramodulation (13 calls)
% 0.19/0.52 ; 0.013 25% Forward simplification (112 calls)
% 0.19/0.52 ; 0.005 9% Backward simplification (44 calls)
% 0.19/0.52 ; 0.002 4% Ordering (257 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.021 40% Other
% 0.19/0.52 ; 0.053 Total
% 0.19/0.52 ; 0.055 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 136 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Path-index has 100 entries (113 at peak, 147 added, 47 deleted).
% 0.19/0.52 ; Path-index has 86 nodes (95 at peak, 98 added, 12 deleted).
% 0.19/0.52 ; Trie-index has 100 entries (113 at peak, 147 added, 47 deleted).
% 0.19/0.52 ; Trie-index has 511 nodes (565 at peak, 736 added, 225 deleted).
% 0.19/0.52 ; Retrieved 429 generalization terms in 695 calls.
% 0.19/0.52 ; Retrieved 230 instance terms in 47 calls.
% 0.19/0.52 ; Retrieved 219 unifiable terms in 75 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 10 entries:
% 0.19/0.52 ; 1 with value 9 1 with value 17 1 with value 20
% 0.19/0.52 ; 2 with value 10 3 with value 19 1 with value 21
% 0.19/0.52 ; 1 with value 12
% 0.19/0.52 ; The agenda of rows to give has 17 entries:
% 0.19/0.52 ; 2 with value (4 9) 1 with value (4 19) 1 with value (4 33)
% 0.19/0.52 ; 1 with value (4 13) 1 with value (4 21) 1 with value (4 36)
% 0.19/0.52 ; 3 with value (4 15) 2 with value (4 29) 3 with value (4 39)
% 0.19/0.52 ; 1 with value (4 17) 1 with value (4 31)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.055 seconds of real time
% 0.19/0.52 0.048517 seconds of user run time
% 0.19/0.52 0.007236 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 4,114,832 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T21:16:12
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------