%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD016-5 : 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 02:27:00 EDT 2022
% Result : Unsatisfiable 12.11s 12.29s
% Output : Refutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 21 ( 0 equ; 6 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 : 7 ( 7 usr; 6 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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(v_is_defined,hypothesis,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
cnf(sum_6,negated_conjecture,
sum(a,u,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(sum_7,negated_conjecture,
sum(a,v,r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
cnf(sum_8,negated_conjecture,
sum(additive_identity,q,r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
cnf(not_sum_9,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).
cnf(34,plain,
sum(additive_identity,v,v),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,v_is_defined]) ).
cnf(35,plain,
sum(additive_identity,u,u),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,u_is_defined]) ).
cnf(57,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(300,plain,
sum(a,u,r),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,35,sum_6,sum_8]) ).
cnf(58262,plain,
sum(additive_inverse(a),r,v),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,57,sum_7,34]) ).
cnf(58266,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,57,not_sum_9,300]),58262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD016-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % 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 : Mon Jun 6 17:37:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-06T17:37:18
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-06T17:37:18
% 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.
% 12.11/12.29 ; Declaring product to be commutative.
% 12.11/12.29
% 12.11/12.29 #||
% 12.11/12.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.11/12.29 % SZS output start Refutation
% See solution above
% 12.11/12.29 ||#
% 12.11/12.29
% 12.11/12.29 ; Summary of computation:
% 12.11/12.29 ; 118254 formulas have been input or derived (from 176 formulas).
% 12.11/12.29 ; 58266 (49%) were retained. Of these,
% 12.11/12.29 ; 3 ( 0%) were simplified or subsumed later,
% 12.11/12.29 ; 58263 (100%) are still being kept.
% 12.11/12.29 ;
% 12.11/12.29 ; Run time in seconds excluding printing time:
% 12.11/12.29 ; 0.006 0% Read assertion file (1 call)
% 12.11/12.29 ; 0.001 0% Assert (35 calls)
% 12.11/12.29 ; 3.873 33% Process new row (117,774 calls)
% 12.11/12.29 ; 4.920 42% Resolution (350 calls)
% 12.11/12.29 ; 0.002 0% Paramodulation (175 calls)
% 12.11/12.29 ; 0.018 0% Condensing (12,898 calls)
% 12.11/12.29 ; 0.707 6% Forward subsumption (12,898 calls)
% 12.11/12.29 ; 0.220 2% Backward subsumption (6,569 calls)
% 12.11/12.29 ; 0.094 1% Clause clause subsumption (61,791 calls)
% 12.11/12.29 ; 0.880 7% Forward simplification (117,774 calls)
% 12.11/12.29 ; 0.723 6% Backward simplification (58,266 calls)
% 12.11/12.29 ; 0.004 0% Ordering (2,802 calls)
% 12.11/12.29 ; 0.000 0% Sortal reasoning (32 calls)
% 12.11/12.29 ; 0.000 0% Purity testing (1 call)
% 12.11/12.29 ; 0.367 3% Other
% 12.11/12.29 ; 11.815 Total
% 12.11/12.29 ; 11.818 Real time
% 12.11/12.29 ;
% 12.11/12.29 ; Term-hash-array has 90,487 terms in all.
% 12.11/12.29 ; Feature-vector-row-index has 6,566 entries (6,566 at peak, 6,569 added, 3 deleted).
% 12.11/12.29 ; Feature-vector-row-index has 3,692 nodes (3,692 at peak, 3,708 added, 16 deleted).
% 12.11/12.29 ; Retrieved 123,564 possibly forward subsuming rows in 12,898 calls.
% 12.11/12.29 ; Retrieved 56,706 possibly backward subsumed rows in 6,569 calls.
% 12.11/12.29 ; Path-index has 90,494 entries (90,494 at peak, 90,498 added, 4 deleted).
% 12.11/12.29 ; Path-index has 1,248 nodes (1,248 at peak, 1,251 added, 3 deleted).
% 12.11/12.29 ; Trie-index has 90,494 entries (90,494 at peak, 90,498 added, 4 deleted).
% 12.11/12.29 ; Trie-index has 250,511 nodes (250,511 at peak, 250,516 added, 5 deleted).
% 12.11/12.29 ; Retrieved 53,178 generalization terms in 130,641 calls.
% 12.11/12.29 ; Retrieved 51,699 instance terms in 51,696 calls.
% 12.11/12.29 ; Retrieved 17,891,811 unifiable terms in 10,997 calls.
% 12.11/12.29 ;
% 12.11/12.29 ; The agenda of rows to process has 3 entries:
% 12.11/12.29 ; 2 with value 10 1 with value 11
% 12.11/12.29 ; The agenda of rows to give has 58087 entries:
% 12.11/12.29 ; 10 with value (4 8) 19437 with value (4 13) 882 with value (4 18)
% 12.11/12.29 ; 148 with value (4 9) 154 with value (4 14) 19215 with value (4 19)
% 12.11/12.29 ; 342 with value (4 10) 2872 with value (4 15) 4753 with value (4 20)
% 12.11/12.29 ; 2979 with value (4 11) 721 with value (4 16) 98 with value (4 22)
% 12.11/12.29 ; 3340 with value (4 12) 3136 with value (4 17)
% 12.11/12.29 Evaluation took:
% 12.11/12.29 11.821 seconds of real time
% 12.11/12.29 11.039994 seconds of user run time
% 12.11/12.29 0.77967 seconds of system run time
% 12.11/12.29 [Run times include 2.057 seconds GC run time.]
% 12.11/12.29 0 calls to %EVAL
% 12.11/12.29 0 page faults and
% 12.11/12.29 745,374,120 bytes consed.
% 12.11/12.29 :PROOF-FOUND
% 12.11/12.29 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T17:37:30
% 12.11/12.29 :PROOF-FOUND
% 12.11/12.29 *
%------------------------------------------------------------------------------