TSTP Solution File: FLD041-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 3.25s 3.43s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 15 unt; 1 nHn; 22 RR)
% Number of literals : 37 ( 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 : 7 ( 7 usr; 5 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(not_sum_4,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
cnf(not_sum_5,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
cnf(product_6,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
cnf(sum_7,negated_conjecture,
sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
cnf(30,plain,
sum(additive_identity,c,c),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,c_is_defined]) ).
cnf(36,plain,
product(multiplicative_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,b_is_defined]) ).
cnf(46,plain,
sum(additive_inverse(b),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(168,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_4,a_is_defined]) ).
cnf(179,plain,
sum(c,c,c),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,30,sum_7,30]) ).
cnf(18402,plain,
~ sum(b,b,b),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,46,not_sum_5,46]) ).
cnf(18429,plain,
~ product(c,X,b),
inference('UR-RESOLVE',[status(thm)],[distributivity_1,18402,179]) ).
cnf(18532,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,168,product_6,36]),18429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD041-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 Jun 6 22:19:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T22:19:05
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T22:19:05
% 0.19/0.49
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.49 ; Declaring sum to be commutative.
% 3.25/3.43 ; Declaring product to be commutative.
% 3.25/3.43
% 3.25/3.43 #||
% 3.25/3.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.25/3.43 % SZS output start Refutation
% See solution above
% 3.25/3.43 ||#
% 3.25/3.43
% 3.25/3.43 ; Summary of computation:
% 3.25/3.43 ; 40784 formulas have been input or derived (from 160 formulas).
% 3.25/3.43 ; 18532 (45%) were retained. Of these,
% 3.25/3.43 ; 29 ( 0%) were simplified or subsumed later,
% 3.25/3.43 ; 18503 (100%) are still being kept.
% 3.25/3.43 ;
% 3.25/3.43 ; Run time in seconds excluding printing time:
% 3.25/3.43 ; 0.007 0% Read assertion file (1 call)
% 3.25/3.43 ; 0.001 0% Assert (33 calls)
% 3.25/3.43 ; 1.094 37% Process new row (40,044 calls)
% 3.25/3.43 ; 1.083 37% Resolution (318 calls)
% 3.25/3.43 ; 0.001 0% Paramodulation (159 calls)
% 3.25/3.43 ; 0.011 0% Condensing (4,042 calls)
% 3.25/3.43 ; 0.154 5% Forward subsumption (4,042 calls)
% 3.25/3.43 ; 0.051 2% Backward subsumption (2,088 calls)
% 3.25/3.43 ; 0.013 0% Clause clause subsumption (14,412 calls)
% 3.25/3.43 ; 0.251 8% Forward simplification (40,044 calls)
% 3.25/3.43 ; 0.144 5% Backward simplification (18,532 calls)
% 3.25/3.43 ; 0.003 0% Ordering (1,386 calls)
% 3.25/3.43 ; 0.000 0% Sortal reasoning (32 calls)
% 3.25/3.43 ; 0.001 0% Purity testing (1 call)
% 3.25/3.43 ; 0.141 5% Other
% 3.25/3.43 ; 2.955 Total
% 3.25/3.43 ; 2.958 Real time
% 3.25/3.43 ;
% 3.25/3.43 ; Term-hash-array has 28,614 terms in all.
% 3.25/3.43 ; Feature-vector-row-index has 2,077 entries (2,085 at peak, 2,088 added, 11 deleted).
% 3.25/3.43 ; Feature-vector-row-index has 1,410 nodes (1,448 at peak, 1,464 added, 54 deleted).
% 3.25/3.43 ; Retrieved 33,248 possibly forward subsuming rows in 4,042 calls.
% 3.25/3.43 ; Retrieved 15,054 possibly backward subsumed rows in 2,088 calls.
% 3.25/3.43 ; Path-index has 28,598 entries (28,598 at peak, 28,632 added, 34 deleted).
% 3.25/3.43 ; Path-index has 1,006 nodes (1,009 at peak, 1,021 added, 15 deleted).
% 3.25/3.43 ; Trie-index has 28,598 entries (28,598 at peak, 28,632 added, 34 deleted).
% 3.25/3.43 ; Trie-index has 79,419 nodes (79,419 at peak, 79,462 added, 43 deleted).
% 3.25/3.43 ; Retrieved 19,561 generalization terms in 44,061 calls.
% 3.25/3.43 ; Retrieved 16,521 instance terms in 16,443 calls.
% 3.25/3.43 ; Retrieved 3,540,415 unifiable terms in 18,780 calls.
% 3.25/3.43 ;
% 3.25/3.43 ; The agenda of rows to process has 29 entries:
% 3.25/3.43 ; 3 with value 9 24 with value 10 2 with value 11
% 3.25/3.43 ; The agenda of rows to give has 18355 entries:
% 3.25/3.43 ; 28 with value (4 8) 5160 with value (4 13) 450 with value (4 18)
% 3.25/3.43 ; 131 with value (4 9) 90 with value (4 14) 5003 with value (4 19)
% 3.25/3.43 ; 307 with value (4 10) 1128 with value (4 15) 1225 with value (4 20)
% 3.25/3.43 ; 1191 with value (4 11) 281 with value (4 16) 50 with value (4 22)
% 3.25/3.43 ; 1711 with value (4 12) 1600 with value (4 17)
% 3.25/3.43 Evaluation took:
% 3.25/3.43 2.96 seconds of real time
% 3.25/3.43 2.730752 seconds of user run time
% 3.25/3.43 0.228143 seconds of system run time
% 3.25/3.43 [Run times include 0.415 seconds GC run time.]
% 3.25/3.43 0 calls to %EVAL
% 3.25/3.43 0 page faults and
% 3.25/3.43 213,453,832 bytes consed.
% 3.25/3.43 :PROOF-FOUND
% 3.25/3.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T22:19:08
% 3.25/3.43 :PROOF-FOUND
% 3.25/3.43 *
%------------------------------------------------------------------------------