TSTP Solution File: BOO013-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO013-2 : 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 23:48:56 EDT 2022
% Result : Unsatisfiable 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity3,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(b_and_multiplicative_identity,hypothesis,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_and_multiplicative_identity) ).
cnf(c_and_multiplicative_identity,hypothesis,
add(a,c) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
cnf(b_a_additive_identity,hypothesis,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_a_additive_identity) ).
cnf(c_a_additive_identity,hypothesis,
multiply(a,c) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_a_additive_identity) ).
cnf(prove_b_is_a,negated_conjecture,
b != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_a) ).
cnf(15,plain,
X = add(multiply(a,X),multiply(c,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity3,c_and_multiplicative_identity,theory(equality)]),multiplicative_id1,theory(equality)]) ).
cnf(16,plain,
X = add(multiply(a,X),multiply(b,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distributivity3,b_and_multiplicative_identity,theory(equality)]),multiplicative_id1,theory(equality)]) ).
cnf(50,plain,
b = multiply(c,b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,b_a_additive_identity,theory(equality)]),additive_id1,theory(equality)]) ).
cnf(92,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,c_a_additive_identity,theory(equality)]),prove_b_is_a,additive_id1,50,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 1 14:33:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T14:33:57
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-01T14:33:57
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.21/0.52 ; Recognized commutativity assertion (= (|multiply| ?X ?Y) (|multiply| ?Y ?X)).
% 0.21/0.52 ; Recognized possible right inverse assertion (= (|add| ?X (|inverse| ?X)) |multiplicative_identity|).
% 0.21/0.52 ; Recognized possible left inverse assertion (= (|add| (|inverse| ?X) ?X) |multiplicative_identity|).
% 0.21/0.52 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |additive_identity|).
% 0.21/0.52 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |additive_identity|).
% 0.21/0.52 ; Recognized right identity assertion (= (|multiply| ?X |multiplicative_identity|) ?X).
% 0.21/0.52 ; Recognized left identity assertion (= (|multiply| |multiplicative_identity| ?X) ?X).
% 0.21/0.52 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.21/0.52 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.21/0.52 ; Declaring add to be commutative.
% 0.40/0.58 ; Declaring multiply to be commutative.
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 177 formulas have been input or derived (from 22 formulas).
% 0.40/0.58 ; 92 (52%) were retained. Of these,
% 0.40/0.58 ; 13 (14%) were simplified or subsumed later,
% 0.40/0.58 ; 79 (86%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.003 4% Read assertion file (1 call)
% 0.40/0.58 ; 0.001 1% Assert (19 calls)
% 0.40/0.58 ; 0.009 12% Process new row (152 calls)
% 0.40/0.58 ; 0.001 1% Resolution (42 calls)
% 0.40/0.58 ; 0.005 7% Paramodulation (21 calls)
% 0.40/0.58 ; 0.019 26% Forward simplification (152 calls)
% 0.40/0.58 ; 0.003 4% Backward simplification (92 calls)
% 0.40/0.58 ; 0.006 8% Ordering (440 calls)
% 0.40/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.024 33% Other
% 0.40/0.58 ; 0.072 Total
% 0.40/0.58 ; 0.073 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 295 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.40/0.58 ; Path-index has 276 entries (277 at peak, 312 added, 36 deleted).
% 0.40/0.58 ; Path-index has 166 nodes (166 at peak, 169 added, 3 deleted).
% 0.40/0.58 ; Trie-index has 276 entries (277 at peak, 312 added, 36 deleted).
% 0.40/0.58 ; Trie-index has 1,359 nodes (1,364 at peak, 1,514 added, 155 deleted).
% 0.40/0.58 ; Retrieved 583 generalization terms in 991 calls.
% 0.40/0.58 ; Retrieved 232 instance terms in 99 calls.
% 0.40/0.58 ; Retrieved 462 unifiable terms in 127 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 17 entries:
% 0.40/0.58 ; 3 with value 12 2 with value 15 6 with value 21
% 0.40/0.58 ; 2 with value 13 1 with value 17 2 with value 23
% 0.40/0.58 ; 1 with value 14
% 0.40/0.58 ; The agenda of rows to give has 57 entries:
% 0.40/0.58 ; 1 with value (4 12) 8 with value (4 20) 1 with value (4 27)
% 0.40/0.58 ; 4 with value (4 13) 2 with value (4 21) 6 with value (4 28)
% 0.40/0.58 ; 4 with value (4 15) 1 with value (4 23) 2 with value (4 30)
% 0.40/0.58 ; 2 with value (4 17) 4 with value (4 24) 4 with value (4 32)
% 0.40/0.58 ; 6 with value (4 18) 1 with value (4 25) 1 with value (4 36)
% 0.40/0.58 ; 1 with value (4 19) 5 with value (4 26) 4 with value (4 39)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.074 seconds of real time
% 0.40/0.58 0.06547 seconds of user run time
% 0.40/0.58 0.008129 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 4,896,808 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T14:33:57
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------