%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Sun Jul 17 02:26:03 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 8 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(14,axiom,
( test(X)
| ~ complement(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(18,axiom,
( complement(X,Y)
| multiplication(Y,X) != zero
| multiplication(X,Y) != zero
| addition(X,Y) != one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
c(zero) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(42,plain,
complement(zero,one),
inference('HYPERRESOLVE',[status(thm)],[18,9,10,1]) ).
cnf(43,plain,
complement(one,zero),
inference('HYPERRESOLVE',[status(thm)],[18,10,9,1]) ).
cnf(65,plain,
~ test(zero),
inference('UR-RESOLVE',[status(thm)],[20,42,22]) ).
cnf(68,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,43]),65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 09:41:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:41:50
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-16T09:41:50
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.48 ; Declaring addition to be commutative.
% 0.19/0.57 ; Declaring addition to be associative-commutative.
% 0.19/0.57
% 0.19/0.57 #||
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 ||#
% 0.19/0.57
% 0.19/0.57 ; Summary of computation:
% 0.19/0.57 ; 271 formulas have been input or derived (from 28 formulas).
% 0.19/0.57 ; 68 (25%) were retained. Of these,
% 0.19/0.57 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.57 ; 67 (99%) are still being kept.
% 0.19/0.57 ;
% 0.19/0.57 ; Run time in seconds excluding printing time:
% 0.19/0.57 ; 0.004 4% Read assertion file (1 call)
% 0.19/0.57 ; 0.001 1% Assert (17 calls)
% 0.19/0.57 ; 0.010 9% Process new row (245 calls)
% 0.19/0.57 ; 0.004 4% Resolution (54 calls)
% 0.19/0.57 ; 0.006 6% Paramodulation (27 calls)
% 0.19/0.57 ; 0.000 0% Factoring (1 call)
% 0.19/0.57 ; 0.001 1% Embedding (7 calls)
% 0.19/0.57 ; 0.025 23% Condensing (84 calls)
% 0.19/0.57 ; 0.003 3% Forward subsumption (84 calls)
% 0.19/0.57 ; 0.002 2% Backward subsumption (36 calls)
% 0.19/0.57 ; 0.005 5% Clause clause subsumption (151 calls)
% 0.19/0.57 ; 0.022 21% Forward simplification (241 calls)
% 0.19/0.57 ; 0.001 1% Backward simplification (64 calls)
% 0.19/0.57 ; 0.000 0% Ordering (266 calls)
% 0.19/0.57 ; 0.000 0% Ordering ac (35 calls)
% 0.19/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.57 ; 0.000 0% Purity testing (1 call)
% 0.19/0.57 ; 0.023 21% Other
% 0.19/0.57 ; 0.107 Total
% 0.19/0.57 ; 0.108 Real time
% 0.19/0.57 ;
% 0.19/0.57 ; Term-hash-array has 195 terms in all.
% 0.19/0.57 ; Feature-vector-row-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.19/0.57 ; Feature-vector-row-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.19/0.57 ; Retrieved 208 possibly forward subsuming rows in 84 calls.
% 0.19/0.57 ; Retrieved 18 possibly backward subsumed rows in 36 calls.
% 0.19/0.57 ; Path-index has 196 entries (196 at peak, 197 added, 1 deleted).
% 0.19/0.57 ; Path-index has 181 nodes (181 at peak, 181 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 196 entries (196 at peak, 197 added, 1 deleted).
% 0.19/0.57 ; Trie-index has 179 nodes (179 at peak, 180 added, 1 deleted).
% 0.19/0.57 ; Retrieved 5,781 generalization terms in 2,327 calls.
% 0.19/0.57 ; Retrieved 67 instance terms in 45 calls.
% 0.19/0.57 ; Retrieved 772 unifiable terms in 170 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of rows to process has 7 entries:
% 0.19/0.57 ; 1 with value 8 6 with value 9
% 0.19/0.57 ; The agenda of rows to give has 40 entries:
% 0.19/0.57 ; 2 with value (4 5) 5 with value (4 20) 2 with value (4 51)
% 0.19/0.57 ; 2 with value (4 8) 1 with value (4 21) 1 with value (4 59)
% 0.19/0.57 ; 3 with value (4 9) 6 with value (4 28) 1 with value (4 61)
% 0.19/0.57 ; 2 with value (4 13) 4 with value (4 38) 2 with value (4 79)
% 0.19/0.57 ; 1 with value (4 15) 2 with value (4 39) 1 with value (4 107)
% 0.19/0.57 ; 3 with value (4 16) 2 with value (4 41)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.109 seconds of real time
% 0.19/0.57 0.095121 seconds of user run time
% 0.19/0.57 0.013948 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 6,092,864 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:41:50
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------