TSTP Solution File: KLE025+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE025+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 02:26:14 EDT 2022
% Result : Theorem 5.04s 5.28s
% Output : Refutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 15 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 18 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAQ1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
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(25,negated_conjecture,
test('SKOLEMAAAQ4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
multiplication(multiplication('SKOLEMAAAQ3','SKOLEMAAAQ2'),c('SKOLEMAAAQ4')) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
multiplication('SKOLEMAAAQ3','SKOLEMAAAQ2') != multiplication(multiplication('SKOLEMAAAQ3','SKOLEMAAAQ2'),'SKOLEMAAAQ4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
complement('SKOLEMAAAQ1'('SKOLEMAAAQ4'),'SKOLEMAAAQ4'),
inference('HYPERRESOLVE',[status(thm)],[13,25]) ).
cnf(111,plain,
addition('SKOLEMAAAQ1'('SKOLEMAAAQ4'),'SKOLEMAAAQ4') = one,
inference('HYPERRESOLVE',[status(thm)],[17,28]) ).
cnf(113,plain,
multiplication('SKOLEMAAAQ1'('SKOLEMAAAQ4'),'SKOLEMAAAQ4') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,28]) ).
cnf(114,plain,
multiplication('SKOLEMAAAQ4','SKOLEMAAAQ1'('SKOLEMAAAQ4')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,28]) ).
cnf(185,plain,
X = addition(multiplication(X,'SKOLEMAAAQ1'('SKOLEMAAAQ4')),multiplication(X,'SKOLEMAAAQ4')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,111,theory(equality)]),5,theory(equality)]) ).
cnf(187,plain,
complement('SKOLEMAAAQ4','SKOLEMAAAQ1'('SKOLEMAAAQ4')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,111,theory(equality)]),114,113,theory(equality)]) ).
cnf(193,plain,
c('SKOLEMAAAQ4') = 'SKOLEMAAAQ1'('SKOLEMAAAQ4'),
inference('HYPERRESOLVE',[status(thm)],[20,187,25]) ).
cnf(201,plain,
X = addition(multiplication(X,c('SKOLEMAAAQ4')),multiplication(X,'SKOLEMAAAQ4')),
inference('REWRITE',[status(thm)],[185,193,theory(equality)]) ).
cnf(1453,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[201,26,theory(equality)]),27,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : KLE025+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n028.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 16 09:51:26 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.39 #<PACKAGE "SNARK-USER">
% 0.13/0.39 *
% 0.13/0.39 SNARK-TPTP-OPTIONS
% 0.13/0.39 *
% 0.13/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39 (USE-FACTORING :POS)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39 *
% 0.13/0.39 "."
% 0.13/0.39 *
% 0.13/0.39 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:51:26
% 0.13/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T09:51:26
% 0.13/0.40
% 0.13/0.40 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.13/0.40 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.13/0.40 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.13/0.40 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.13/0.40 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.13/0.40 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.13/0.40 ; Declaring addition to be commutative.
% 5.04/5.28 ; Declaring addition to be associative-commutative.
% 5.04/5.28
% 5.04/5.28 #||
% 5.04/5.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/5.28 % SZS output start Refutation
% See solution above
% 5.10/5.29 ||#
% 5.10/5.29
% 5.10/5.29 ; Summary of computation:
% 5.10/5.29 ; 11201 formulas have been input or derived (from 204 formulas).
% 5.10/5.29 ; 1453 (13%) were retained. Of these,
% 5.10/5.29 ; 150 (10%) were simplified or subsumed later,
% 5.10/5.29 ; 1303 (90%) are still being kept.
% 5.10/5.29 ;
% 5.10/5.29 ; Run time in seconds excluding printing time:
% 5.10/5.29 ; 0.005 0% Read assertion file (1 call)
% 5.10/5.29 ; 0.001 0% Assert (19 calls)
% 5.10/5.29 ; 0.253 5% Process new row (10,808 calls)
% 5.10/5.29 ; 0.075 2% Resolution (406 calls)
% 5.10/5.29 ; 0.218 4% Paramodulation (203 calls)
% 5.10/5.29 ; 0.000 0% Factoring (4 calls)
% 5.10/5.29 ; 0.000 0% Embedding (126 calls)
% 5.10/5.29 ; 0.100 2% Condensing (1,044 calls)
% 5.10/5.29 ; 0.093 2% Forward subsumption (1,044 calls)
% 5.10/5.29 ; 0.017 0% Backward subsumption (440 calls)
% 5.10/5.29 ; 0.052 1% Clause clause subsumption (3,306 calls)
% 5.10/5.29 ; 3.890 80% Forward simplification (10,657 calls)
% 5.10/5.29 ; 0.051 1% Backward simplification (1,342 calls)
% 5.10/5.29 ; 0.032 1% Ordering (6,918 calls)
% 5.10/5.29 ; 0.014 0% Ordering ac (1,002 calls)
% 5.10/5.29 ; 0.001 0% Sortal reasoning (32 calls)
% 5.10/5.29 ; 0.000 0% Purity testing (1 call)
% 5.10/5.29 ; 0.088 2% Other
% 5.10/5.29 ; 4.890 Total
% 5.10/5.29 ; 4.904 Real time
% 5.10/5.29 ;
% 5.10/5.29 ; Term-hash-array has 3,029 terms in all.
% 5.10/5.29 ; Feature-vector-row-index has 406 entries (406 at peak, 440 added, 34 deleted).
% 5.10/5.29 ; Feature-vector-row-index has 1,979 nodes (1,979 at peak, 2,236 added, 257 deleted).
% 5.10/5.29 ; Retrieved 4,200 possibly forward subsuming rows in 1,044 calls.
% 5.10/5.29 ; Retrieved 522 possibly backward subsumed rows in 440 calls.
% 5.10/5.29 ; Path-index has 2,765 entries (2,765 at peak, 3,071 added, 306 deleted).
% 5.10/5.29 ; Path-index has 831 nodes (831 at peak, 980 added, 149 deleted).
% 5.10/5.29 ; Trie-index has 2,765 entries (2,765 at peak, 3,071 added, 306 deleted).
% 5.10/5.29 ; Trie-index has 1,575 nodes (1,575 at peak, 1,995 added, 420 deleted).
% 5.10/5.29 ; Retrieved 2,010,995 generalization terms in 69,768 calls.
% 5.10/5.29 ; Retrieved 2,971 instance terms in 919 calls.
% 5.10/5.29 ; Retrieved 45,877 unifiable terms in 2,389 calls.
% 5.10/5.29 ;
% 5.10/5.29 ; The agenda of rows to process has 38 entries:
% 5.10/5.29 ; 1 with value 19 7 with value 24 1 with value 27
% 5.10/5.29 ; 17 with value 20 3 with value 25 1 with value 30
% 5.10/5.29 ; 2 with value 22 2 with value 26 2 with value 47
% 5.10/5.29 ; 2 with value 23
% 5.10/5.29 ; The agenda of rows to give has 1119 entries:
% 5.10/5.29 ; 37 with value (4 17) 22 with value (4 33) 5 with value (4 59)
% 5.10/5.29 ; 42 with value (4 18) 37 with value (4 34) 1 with value (4 61)
% 5.10/5.29 ; 91 with value (4 19) 8 with value (4 35) 4 with value (4 62)
% 5.10/5.29 ; 112 with value (4 20) 21 with value (4 36) 8 with value (4 63)
% 5.10/5.29 ; 77 with value (4 21) 12 with value (4 37) 8 with value (4 65)
% 5.10/5.29 ; 36 with value (4 22) 5 with value (4 38) 2 with value (4 67)
% 5.10/5.29 ; 73 with value (4 23) 16 with value (4 39) 2 with value (4 68)
% 5.10/5.29 ; 69 with value (4 24) 6 with value (4 41) 8 with value (4 70)
% 5.10/5.29 ; 95 with value (4 25) 8 with value (4 42) 8 with value (4 77)
% 5.10/5.29 ; 48 with value (4 26) 4 with value (4 45) 2 with value (4 79)
% 5.10/5.29 ; 55 with value (4 27) 2 with value (4 47) 8 with value (4 84)
% 5.10/5.29 ; 34 with value (4 28) 2 with value (4 51) 2 with value (4 93)
% 5.10/5.29 ; 25 with value (4 29) 8 with value (4 53) 8 with value (4 97)
% 5.10/5.29 ; 24 with value (4 30) 4 with value (4 55) 8 with value (4 104)
% 5.10/5.29 ; 18 with value (4 31) 8 with value (4 56) 1 with value (4 107)
% 5.10/5.29 ; 37 with value (4 32) 8 with value (4 58)
% 5.10/5.29 Evaluation took:
% 5.10/5.29 4.905 seconds of real time
% 5.10/5.29 4.754117 seconds of user run time
% 5.10/5.29 0.147968 seconds of system run time
% 5.10/5.29 [Run times include 0.196 seconds GC run time.]
% 5.10/5.29 0 calls to %EVAL
% 5.10/5.29 0 page faults and
% 5.10/5.29 264,634,936 bytes consed.
% 5.10/5.29 :PROOF-FOUND
% 5.10/5.29 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:51:31
% 5.10/5.29 :PROOF-FOUND
% 5.10/5.29 *
%------------------------------------------------------------------------------