TSTP Solution File: FLD041-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD041-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : Sat Jul 16 02:27:09 EDT 2022
% Result : Unsatisfiable 1.52s 1.69s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 20 ( 13 unt; 1 nHn; 20 RR)
% Number of literals : 35 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(associativity_multiplication_1,axiom,
( product(X,Y,Z)
| ~ product(X,U,V)
| ~ product(U,W,Y)
| ~ product(V,W,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(distributivity_1,axiom,
( sum(X,Y,Z)
| ~ sum(U,V,W)
| ~ product(W,X1,Z)
| ~ product(U,X1,X)
| ~ product(V,X1,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
cnf(product_5,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
cnf(31,plain,
sum(additive_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(32,plain,
product(multiplicative_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,b_is_defined]) ).
cnf(40,plain,
sum(additive_inverse(b),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(121,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_3,a_is_defined]) ).
cnf(8660,plain,
~ sum(b,b,b),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,40,not_sum_4,40]) ).
cnf(8677,plain,
~ product(additive_identity,X,b),
inference('UR-RESOLVE',[status(thm)],[distributivity_1,8660,31]) ).
cnf(8742,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,121,product_5,32]),8677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD041-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.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 : Tue Jun 7 01:05:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T01:05:50
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-07T01:05:50
% 0.18/0.48
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.18/0.48 ; Declaring sum to be commutative.
% 1.52/1.69 ; Declaring product to be commutative.
% 1.52/1.69
% 1.52/1.69 #||
% 1.52/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.69 % SZS output start Refutation
% See solution above
% 1.52/1.69 ||#
% 1.52/1.69
% 1.52/1.69 ; Summary of computation:
% 1.52/1.69 ; 18370 formulas have been input or derived (from 107 formulas).
% 1.52/1.69 ; 8742 (48%) were retained. Of these,
% 1.52/1.69 ; 16 ( 0%) were simplified or subsumed later,
% 1.52/1.69 ; 8726 (100%) are still being kept.
% 1.52/1.69 ;
% 1.52/1.69 ; Run time in seconds excluding printing time:
% 1.52/1.69 ; 0.006 0% Read assertion file (1 call)
% 1.52/1.69 ; 0.001 0% Assert (31 calls)
% 1.52/1.69 ; 0.460 37% Process new row (18,054 calls)
% 1.52/1.69 ; 0.348 28% Resolution (212 calls)
% 1.52/1.69 ; 0.000 0% Paramodulation (106 calls)
% 1.52/1.69 ; 0.006 0% Condensing (1,904 calls)
% 1.52/1.69 ; 0.100 8% Forward subsumption (1,904 calls)
% 1.52/1.69 ; 0.018 1% Backward subsumption (1,000 calls)
% 1.52/1.69 ; 0.004 0% Clause clause subsumption (5,412 calls)
% 1.52/1.69 ; 0.132 11% Forward simplification (18,054 calls)
% 1.52/1.69 ; 0.071 6% Backward simplification (8,742 calls)
% 1.52/1.69 ; 0.001 0% Ordering (776 calls)
% 1.52/1.69 ; 0.000 0% Sortal reasoning (32 calls)
% 1.52/1.69 ; 0.000 0% Purity testing (1 call)
% 1.52/1.69 ; 0.080 7% Other
% 1.52/1.69 ; 1.227 Total
% 1.52/1.69 ; 1.229 Real time
% 1.52/1.69 ;
% 1.52/1.69 ; Term-hash-array has 13,479 terms in all.
% 1.52/1.69 ; Feature-vector-row-index has 992 entries (998 at peak, 1,000 added, 8 deleted).
% 1.52/1.69 ; Feature-vector-row-index has 763 nodes (787 at peak, 803 added, 40 deleted).
% 1.52/1.69 ; Retrieved 13,697 possibly forward subsuming rows in 1,904 calls.
% 1.52/1.69 ; Retrieved 6,114 possibly backward subsumed rows in 1,000 calls.
% 1.52/1.69 ; Path-index has 13,475 entries (13,475 at peak, 13,495 added, 20 deleted).
% 1.52/1.69 ; Path-index has 871 nodes (871 at peak, 883 added, 12 deleted).
% 1.52/1.69 ; Trie-index has 13,475 entries (13,475 at peak, 13,495 added, 20 deleted).
% 1.52/1.69 ; Trie-index has 37,780 nodes (37,780 at peak, 37,807 added, 27 deleted).
% 1.52/1.69 ; Retrieved 8,411 generalization terms in 19,931 calls.
% 1.52/1.69 ; Retrieved 7,786 instance terms in 7,741 calls.
% 1.52/1.69 ; Retrieved 1,088,315 unifiable terms in 6,811 calls.
% 1.52/1.69 ;
% 1.52/1.69 ; The agenda of rows to process has 24 entries:
% 1.52/1.69 ; 4 with value 9 18 with value 10 2 with value 11
% 1.52/1.69 ; The agenda of rows to give has 8627 entries:
% 1.52/1.69 ; 21 with value (4 8) 2160 with value (4 13) 256 with value (4 18)
% 1.52/1.69 ; 84 with value (4 9) 60 with value (4 14) 2051 with value (4 19)
% 1.52/1.69 ; 191 with value (4 10) 610 with value (4 15) 496 with value (4 20)
% 1.52/1.69 ; 648 with value (4 11) 152 with value (4 16) 32 with value (4 22)
% 1.52/1.69 ; 970 with value (4 12) 896 with value (4 17)
% 1.52/1.69 Evaluation took:
% 1.52/1.69 1.23 seconds of real time
% 1.52/1.69 1.104299 seconds of user run time
% 1.52/1.69 0.125137 seconds of system run time
% 1.52/1.69 [Run times include 0.144 seconds GC run time.]
% 1.52/1.69 0 calls to %EVAL
% 1.52/1.69 0 page faults and
% 1.52/1.69 91,298,560 bytes consed.
% 1.52/1.69 :PROOF-FOUND
% 1.52/1.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T01:05:51
% 1.52/1.69 :PROOF-FOUND
% 1.52/1.69 *
%------------------------------------------------------------------------------