TSTP Solution File: FLD047-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD047-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:27:11 EDT 2022
% Result : Unsatisfiable 29.94s 30.12s
% Output : Refutation 29.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 34 ( 26 unt; 2 nHn; 34 RR)
% Number of literals : 50 ( 0 equ; 20 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 : 10 ( 10 usr; 8 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(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(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
cnf(t_is_defined,hypothesis,
defined(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_is_defined) ).
cnf(not_sum_7,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
cnf(not_sum_8,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_8) ).
cnf(product_9,negated_conjecture,
product(a,multiplicative_inverse(b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
cnf(product_10,negated_conjecture,
product(a,c,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
cnf(product_11,negated_conjecture,
product(b,c,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_11) ).
cnf(not_product_12,negated_conjecture,
~ product(s,multiplicative_inverse(t),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_12) ).
cnf(35,plain,
sum(additive_identity,t,t),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,t_is_defined]) ).
cnf(45,plain,
product(multiplicative_identity,u,u),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,u_is_defined]) ).
cnf(46,plain,
product(multiplicative_identity,c,c),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,c_is_defined]) ).
cnf(48,plain,
product(multiplicative_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,a_is_defined]) ).
cnf(62,plain,
sum(additive_inverse(c),c,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,c_is_defined]) ).
cnf(366,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_7,b_is_defined]) ).
cnf(368,plain,
( product(multiplicative_inverse(t),t,multiplicative_identity)
| sum(additive_identity,t,additive_identity) ),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_multiplication,t_is_defined]) ).
cnf(98287,plain,
~ sum(c,c,c),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,62,not_sum_8,62]) ).
cnf(98384,plain,
product(b,u,a),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,366,product_9,48]) ).
cnf(98385,plain,
product(multiplicative_inverse(b),t,c),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,366,product_11,46]) ).
cnf(98391,plain,
product(u,t,s),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,98384,product_11,product_10]) ).
cnf(98464,plain,
~ product(multiplicative_inverse(t),t,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,98391,not_product_12,45]) ).
cnf(98465,plain,
sum(additive_identity,t,additive_identity),
inference('REWRITE',[status(thm)],[368,98464]) ).
cnf(98468,plain,
sum(t,t,t),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,98465,35,35]) ).
cnf(98521,plain,
~ product(t,X,c),
inference('UR-RESOLVE',[status(thm)],[distributivity_1,98468,98287]) ).
cnf(98522,plain,
$false,
inference('REWRITE',[status(thm)],[98385,98521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD047-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 6 18:07:20 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.15/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 *
% 0.15/0.38 *
% 0.15/0.38 #<PACKAGE "SNARK-USER">
% 0.15/0.38 *
% 0.15/0.38 SNARK-TPTP-OPTIONS
% 0.15/0.38 *
% 0.15/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.38 (USE-FACTORING :POS)
% 0.15/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.38 *
% 0.15/0.38 "."
% 0.15/0.38 *
% 0.15/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T18:07:20
% 0.15/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-06T18:07:20
% 0.15/0.39
% 0.15/0.39 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.15/0.39 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.15/0.39 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.15/0.39 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.15/0.39 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.15/0.39 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.15/0.39 ; Declaring sum to be commutative.
% 29.94/30.12 ; Declaring product to be commutative.
% 29.94/30.12
% 29.94/30.12 #||
% 29.94/30.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.94/30.12 % SZS output start Refutation
% See solution above
% 29.94/30.12 ||#
% 29.94/30.12
% 29.94/30.12 ; Summary of computation:
% 29.94/30.12 ; 199549 formulas have been input or derived (from 250 formulas).
% 29.94/30.12 ; 98522 (49%) were retained. Of these,
% 29.94/30.12 ; 47 ( 0%) were simplified or subsumed later,
% 29.94/30.12 ; 98475 (100%) are still being kept.
% 29.94/30.12 ;
% 29.94/30.12 ; Run time in seconds excluding printing time:
% 29.94/30.12 ; 0.005 0% Read assertion file (1 call)
% 29.94/30.12 ; 0.001 0% Assert (38 calls)
% 29.94/30.12 ; 6.627 22% Process new row (198,776 calls)
% 29.94/30.12 ; 17.366 58% Resolution (498 calls)
% 29.94/30.12 ; 0.006 0% Paramodulation (249 calls)
% 29.94/30.12 ; 0.024 0% Condensing (21,768 calls)
% 29.94/30.12 ; 1.313 4% Forward subsumption (21,768 calls)
% 29.94/30.12 ; 0.462 2% Backward subsumption (11,036 calls)
% 29.94/30.12 ; 0.158 1% Clause clause subsumption (111,144 calls)
% 29.94/30.12 ; 1.373 5% Forward simplification (198,776 calls)
% 29.94/30.12 ; 1.706 6% Backward simplification (98,522 calls)
% 29.94/30.12 ; 0.009 0% Ordering (5,008 calls)
% 29.94/30.12 ; 0.001 0% Sortal reasoning (32 calls)
% 29.94/30.12 ; 0.000 0% Purity testing (1 call)
% 29.94/30.12 ; 0.679 2% Other
% 29.94/30.12 ; 29.730 Total
% 29.94/30.12 ; 29.741 Real time
% 29.94/30.13 ;
% 29.94/30.13 ; Term-hash-array has 152,911 terms in all.
% 29.94/30.13 ; Feature-vector-row-index has 11,021 entries (11,034 at peak, 11,036 added, 15 deleted).
% 29.94/30.13 ; Feature-vector-row-index has 3,886 nodes (3,926 at peak, 3,926 added, 40 deleted).
% 29.94/30.13 ; Retrieved 380,329 possibly forward subsuming rows in 21,768 calls.
% 29.94/30.13 ; Retrieved 179,798 possibly backward subsumed rows in 11,036 calls.
% 29.94/30.13 ; Path-index has 152,883 entries (152,885 at peak, 152,935 added, 52 deleted).
% 29.94/30.13 ; Path-index has 1,431 nodes (1,435 at peak, 1,450 added, 19 deleted).
% 29.94/30.13 ; Trie-index has 152,883 entries (152,885 at peak, 152,935 added, 52 deleted).
% 29.94/30.13 ; Trie-index has 420,300 nodes (420,303 at peak, 420,367 added, 67 deleted).
% 29.94/30.13 ; Retrieved 89,524 generalization terms in 220,516 calls.
% 29.94/30.13 ; Retrieved 87,591 instance terms in 87,485 calls.
% 29.94/30.13 ; Retrieved 40,494,606 unifiable terms in 21,707 calls.
% 29.94/30.13 ;
% 29.94/30.13 ; The agenda of rows to process has 21 entries:
% 29.94/30.13 ; 2 with value 8 15 with value 9 4 with value 10
% 29.94/30.13 ; The agenda of rows to give has 98231 entries:
% 29.94/30.13 ; 21 with value (4 7) 5905 with value (4 12) 5632 with value (4 17)
% 29.94/30.13 ; 7 with value (4 8) 33126 with value (4 13) 1536 with value (4 18)
% 29.94/30.13 ; 257 with value (4 9) 216 with value (4 14) 32773 with value (4 19)
% 29.94/30.13 ; 567 with value (4 10) 4338 with value (4 15) 8128 with value (4 20)
% 29.94/30.13 ; 4513 with value (4 11) 1084 with value (4 16) 128 with value (4 22)
% 29.94/30.13 Evaluation took:
% 29.94/30.13 29.745 seconds of real time
% 29.94/30.13 28.301971 seconds of user run time
% 29.94/30.13 1.434865 seconds of system run time
% 29.94/30.13 [Run times include 4.29 seconds GC run time.]
% 29.94/30.13 0 calls to %EVAL
% 29.94/30.13 0 page faults and
% 29.94/30.13 1,364,175,192 bytes consed.
% 29.94/30.13 :PROOF-FOUND
% 29.94/30.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T18:07:49
% 29.94/30.13 :PROOF-FOUND
% 29.94/30.13 *
%------------------------------------------------------------------------------