TSTP Solution File: FLD008-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD008-4 : 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 02:26:56 EDT 2022
% Result : Unsatisfiable 5.99s 6.15s
% Output : Refutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 15 unt; 0 nHn; 18 RR)
% Number of literals : 23 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 8 ( 0 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(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(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
cnf(sum_5,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
cnf(sum_6,negated_conjecture,
sum(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(not_sum_7,negated_conjecture,
~ sum(additive_identity,additive_inverse(c),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
cnf(30,plain,
sum(additive_identity,d,d),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,d_is_defined]) ).
cnf(32,plain,
sum(additive_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,b_is_defined]) ).
cnf(49,plain,
sum(additive_inverse(c),c,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,c_is_defined]) ).
cnf(50,plain,
sum(additive_inverse(b),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(51,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(33103,plain,
~ sum(c,d,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,49,not_sum_7,30]) ).
cnf(33116,plain,
~ sum(c,additive_inverse(a),b),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,50,33103,sum_6]) ).
cnf(33119,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,51,sum_5,32]),33116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : FLD008-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.10 % Command : run-snark %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 7 01:33:05 EDT 2022
% 0.10/0.30 % 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 2022-06-07T01:33:05
% 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 2022-06-07T01:33:05
% 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.
% 5.99/6.15 ; Declaring product to be commutative.
% 5.99/6.15
% 5.99/6.15 #||
% 5.99/6.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.99/6.15 % SZS output start Refutation
% See solution above
% 5.99/6.15 ||#
% 5.99/6.15
% 5.99/6.15 ; Summary of computation:
% 5.99/6.15 ; 67235 formulas have been input or derived (from 135 formulas).
% 5.99/6.15 ; 33119 (49%) were retained. Of these,
% 5.99/6.15 ; 2 ( 0%) were simplified or subsumed later,
% 5.99/6.15 ; 33117 (100%) are still being kept.
% 5.99/6.15 ;
% 5.99/6.15 ; Run time in seconds excluding printing time:
% 5.99/6.15 ; 0.004 0% Read assertion file (1 call)
% 5.99/6.15 ; 0.001 0% Assert (33 calls)
% 5.99/6.15 ; 2.249 39% Process new row (66,875 calls)
% 5.99/6.15 ; 2.091 36% Resolution (268 calls)
% 5.99/6.15 ; 0.003 0% Paramodulation (134 calls)
% 5.99/6.15 ; 0.009 0% Condensing (7,326 calls)
% 5.99/6.15 ; 0.312 5% Forward subsumption (7,326 calls)
% 5.99/6.15 ; 0.128 2% Backward subsumption (3,755 calls)
% 5.99/6.15 ; 0.035 1% Clause clause subsumption (31,490 calls)
% 5.99/6.15 ; 0.394 7% Forward simplification (66,875 calls)
% 5.99/6.15 ; 0.337 6% Backward simplification (33,119 calls)
% 5.99/6.15 ; 0.003 0% Ordering (1,626 calls)
% 5.99/6.15 ; 0.000 0% Sortal reasoning (32 calls)
% 5.99/6.15 ; 0.000 0% Purity testing (1 call)
% 5.99/6.15 ; 0.203 4% Other
% 5.99/6.15 ; 5.769 Total
% 5.99/6.15 ; 5.770 Real time
% 5.99/6.15 ;
% 5.99/6.16 ; Term-hash-array has 51,412 terms in all.
% 5.99/6.16 ; Feature-vector-row-index has 3,753 entries (3,753 at peak, 3,755 added, 2 deleted).
% 5.99/6.16 ; Feature-vector-row-index has 2,315 nodes (2,315 at peak, 2,327 added, 12 deleted).
% 5.99/6.16 ; Retrieved 67,338 possibly forward subsuming rows in 7,326 calls.
% 5.99/6.16 ; Retrieved 30,748 possibly backward subsumed rows in 3,755 calls.
% 5.99/6.16 ; Path-index has 51,418 entries (51,418 at peak, 51,421 added, 3 deleted).
% 5.99/6.16 ; Path-index has 1,107 nodes (1,107 at peak, 1,110 added, 3 deleted).
% 5.99/6.16 ; Trie-index has 51,418 entries (51,418 at peak, 51,421 added, 3 deleted).
% 5.99/6.16 ; Trie-index has 143,092 nodes (143,092 at peak, 143,096 added, 4 deleted).
% 5.99/6.16 ; Retrieved 30,184 generalization terms in 74,170 calls.
% 5.99/6.16 ; Retrieved 29,366 instance terms in 29,363 calls.
% 5.99/6.16 ; Retrieved 7,592,212 unifiable terms in 7,193 calls.
% 5.99/6.16 ;
% 5.99/6.16 ; The agenda of rows to process has 9 entries:
% 5.99/6.16 ; 4 with value 9 4 with value 10 1 with value 11
% 5.99/6.16 ; The agenda of rows to give has 32982 entries:
% 5.99/6.16 ; 8 with value (4 8) 10540 with value (4 13) 576 with value (4 18)
% 5.99/6.16 ; 107 with value (4 9) 114 with value (4 14) 10374 with value (4 19)
% 5.99/6.16 ; 262 with value (4 10) 1826 with value (4 15) 2556 with value (4 20)
% 5.99/6.16 ; 1905 with value (4 11) 459 with value (4 16) 72 with value (4 22)
% 5.99/6.16 ; 2167 with value (4 12) 2016 with value (4 17)
% 5.99/6.16 Evaluation took:
% 5.99/6.16 5.772 seconds of real time
% 5.99/6.16 5.341214 seconds of user run time
% 5.99/6.16 0.430374 seconds of system run time
% 5.99/6.16 [Run times include 0.996 seconds GC run time.]
% 5.99/6.16 0 calls to %EVAL
% 5.99/6.16 0 page faults and
% 5.99/6.16 392,902,872 bytes consed.
% 5.99/6.16 :PROOF-FOUND
% 5.99/6.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T01:33:11
% 5.99/6.16 :PROOF-FOUND
% 5.99/6.16 *
%------------------------------------------------------------------------------