TSTP Solution File: FLD066-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 02:27:19 EDT 2022
% Result : Unsatisfiable 24.33s 24.58s
% Output : Refutation 24.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 20 unt; 1 nHn; 26 RR)
% Number of literals : 39 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 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; 6 con; 0-1 aty)
% Number of variables : 17 ( 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(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(totality_of_order_relation,axiom,
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,U)
| ~ sum(Z,V,X)
| ~ sum(U,V,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_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(sum_6,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(sum_7,negated_conjecture,
sum(b,c,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
cnf(less_or_equal_8,negated_conjecture,
less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_8) ).
cnf(not_less_or_equal_9,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_9) ).
cnf(34,plain,
sum(additive_identity,c,c),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,c_is_defined]) ).
cnf(35,plain,
sum(additive_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,b_is_defined]) ).
cnf(36,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(55,plain,
sum(additive_inverse(c),c,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,c_is_defined]) ).
cnf(268,plain,
less_or_equal(additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[totality_of_order_relation,well_definedness_of_additive_identity,well_definedness_of_additive_identity]) ).
cnf(269,plain,
less_or_equal(b,a),
inference('UR-RESOLVE',[status(thm)],[totality_of_order_relation,not_less_or_equal_9,b_is_defined,a_is_defined]) ).
cnf(295,plain,
less_or_equal(v,u),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,269,sum_7,sum_6]) ).
cnf(296,plain,
~ sum(additive_identity,b,a),
inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,35,not_less_or_equal_9,268]) ).
cnf(1008,plain,
sum(additive_identity,v,u),
inference('HYPERRESOLVE',[status(thm)],[antisymmetry_of_order_relation,295,less_or_equal_8]) ).
cnf(58242,plain,
sum(additive_inverse(c),u,a),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,55,sum_6,36]) ).
cnf(58298,plain,
sum(b,c,u),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,1008,sum_7,34]) ).
cnf(70467,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,58242,296,55]),58298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : Tue Jun 7 00:34:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T00:34:18
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T00:34:18
% 0.20/0.50
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.50 ; Declaring sum to be commutative.
% 24.33/24.58 ; Declaring product to be commutative.
% 24.33/24.58
% 24.33/24.58 #||
% 24.33/24.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.33/24.58 % SZS output start Refutation
% See solution above
% 24.33/24.58 ||#
% 24.33/24.58
% 24.33/24.58 ; Summary of computation:
% 24.33/24.58 ; 146113 formulas have been input or derived (from 321 formulas).
% 24.33/24.58 ; 70467 (48%) were retained. Of these,
% 24.33/24.58 ; 128 ( 0%) were simplified or subsumed later,
% 24.33/24.58 ; 70339 (100%) are still being kept.
% 24.33/24.58 ;
% 24.33/24.58 ; Run time in seconds excluding printing time:
% 24.33/24.58 ; 0.007 0% Read assertion file (1 call)
% 24.33/24.58 ; 0.001 0% Assert (35 calls)
% 24.33/24.58 ; 5.091 21% Process new row (144,064 calls)
% 24.33/24.58 ; 15.128 63% Resolution (640 calls)
% 24.45/24.61 ; 0.009 0% Paramodulation (320 calls)
% 24.45/24.61 ; 0.000 0% Factoring (19 calls)
% 24.45/24.61 ; 0.029 0% Condensing (16,558 calls)
% 24.45/24.61 ; 0.724 3% Forward subsumption (16,558 calls)
% 24.45/24.61 ; 0.383 2% Backward subsumption (8,980 calls)
% 24.45/24.61 ; 0.090 0% Clause clause subsumption (82,269 calls)
% 24.45/24.61 ; 1.214 5% Forward simplification (144,064 calls)
% 24.45/24.61 ; 0.950 4% Backward simplification (70,467 calls)
% 24.45/24.61 ; 0.011 0% Ordering (8,881 calls)
% 24.45/24.61 ; 0.000 0% Sortal reasoning (32 calls)
% 24.45/24.61 ; 0.000 0% Purity testing (1 call)
% 24.45/24.61 ; 0.456 2% Other
% 24.45/24.61 ; 24.093 Total
% 24.45/24.61 ; 24.132 Real time
% 24.45/24.62 ;
% 24.46/24.62 ; Term-hash-array has 105,739 terms in all.
% 24.46/24.62 ; Feature-vector-row-index has 8,861 entries (8,861 at peak, 8,980 added, 119 deleted).
% 24.46/24.62 ; Feature-vector-row-index has 6,703 nodes (6,703 at peak, 6,743 added, 40 deleted).
% 24.46/24.62 ; Retrieved 152,698 possibly forward subsuming rows in 16,558 calls.
% 24.46/24.62 ; Retrieved 66,752 possibly backward subsumed rows in 8,980 calls.
% 24.46/24.62 ; Path-index has 105,692 entries (105,692 at peak, 105,830 added, 138 deleted).
% 24.46/24.62 ; Path-index has 1,478 nodes (1,478 at peak, 1,487 added, 9 deleted).
% 24.46/24.62 ; Trie-index has 105,692 entries (105,692 at peak, 105,830 added, 138 deleted).
% 24.46/24.62 ; Trie-index has 293,882 nodes (293,882 at peak, 294,050 added, 168 deleted).
% 24.46/24.62 ; Retrieved 66,029 generalization terms in 161,076 calls.
% 24.46/24.62 ; Retrieved 61,664 instance terms in 61,486 calls.
% 24.46/24.62 ; Retrieved 26,544,370 unifiable terms in 79,078 calls.
% 24.46/24.62 ;
% 24.46/24.62 ; The agenda of rows to process has 101 entries:
% 24.46/24.62 ; 2 with value 9 25 with value 11 6 with value 13
% 24.46/24.62 ; 4 with value 10 16 with value 12 48 with value 14
% 24.46/24.62 ; The agenda of rows to give has 70020 entries:
% 24.46/24.62 ; 79 with value (4 9) 7128 with value (4 15) 4684 with value (4 20)
% 24.46/24.62 ; 538 with value (4 10) 785 with value (4 16) 3336 with value (4 21)
% 24.46/24.62 ; 3280 with value (4 11) 3390 with value (4 17) 91 with value (4 22)
% 24.46/24.62 ; 4199 with value (4 12) 875 with value (4 18) 812 with value (4 23)
% 24.46/24.62 ; 20274 with value (4 13) 19525 with value (4 19) 8 with value (4 25)
% 24.46/24.62 ; 1016 with value (4 14)
% 24.46/24.62 Evaluation took:
% 24.46/24.62 24.136 seconds of real time
% 24.46/24.62 23.123764 seconds of user run time
% 24.46/24.62 1.009805 seconds of system run time
% 24.46/24.62 [Run times include 3.118 seconds GC run time.]
% 24.46/24.62 0 calls to %EVAL
% 24.46/24.62 0 page faults and
% 24.46/24.62 969,785,368 bytes consed.
% 24.46/24.62 :PROOF-FOUND
% 24.46/24.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T00:34:42
% 24.46/24.62 :PROOF-FOUND
% 24.46/24.62 *
%------------------------------------------------------------------------------