TSTP Solution File: KLE025+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE025+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 1.62s 1.80s
% Output : Refutation 1.62s
% 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('SKOLEMAAAU1'(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(23,negated_conjecture,
test('SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
multiplication(multiplication('SKOLEMAAAU3','SKOLEMAAAU2'),c('SKOLEMAAAU4')) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
multiplication('SKOLEMAAAU3','SKOLEMAAAU2') != multiplication(multiplication('SKOLEMAAAU3','SKOLEMAAAU2'),'SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
complement('SKOLEMAAAU1'('SKOLEMAAAU4'),'SKOLEMAAAU4'),
inference('HYPERRESOLVE',[status(thm)],[13,23]) ).
cnf(83,plain,
addition('SKOLEMAAAU1'('SKOLEMAAAU4'),'SKOLEMAAAU4') = one,
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(85,plain,
multiplication('SKOLEMAAAU1'('SKOLEMAAAU4'),'SKOLEMAAAU4') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,26]) ).
cnf(86,plain,
multiplication('SKOLEMAAAU4','SKOLEMAAAU1'('SKOLEMAAAU4')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,26]) ).
cnf(119,plain,
X = addition(multiplication(X,'SKOLEMAAAU1'('SKOLEMAAAU4')),multiplication(X,'SKOLEMAAAU4')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,83,theory(equality)]),5,theory(equality)]) ).
cnf(121,plain,
complement('SKOLEMAAAU4','SKOLEMAAAU1'('SKOLEMAAAU4')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,83,theory(equality)]),86,85,theory(equality)]) ).
cnf(127,plain,
c('SKOLEMAAAU4') = 'SKOLEMAAAU1'('SKOLEMAAAU4'),
inference('HYPERRESOLVE',[status(thm)],[20,121,23]) ).
cnf(135,plain,
X = addition(multiplication(X,c('SKOLEMAAAU4')),multiplication(X,'SKOLEMAAAU4')),
inference('REWRITE',[status(thm)],[119,127,theory(equality)]) ).
cnf(1116,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[135,24,theory(equality)]),25,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE025+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 14:51:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 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 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T14:51:01
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-16T14:51:01
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.47 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.47 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.47 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.47 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.47 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.47 ; Declaring addition to be commutative.
% 1.62/1.80 ; Declaring addition to be associative-commutative.
% 1.62/1.80
% 1.62/1.80 #||
% 1.62/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.62/1.80 % SZS output start Refutation
% See solution above
% 1.62/1.80 ||#
% 1.62/1.80
% 1.62/1.80 ; Summary of computation:
% 1.62/1.80 ; 7889 formulas have been input or derived (from 182 formulas).
% 1.62/1.80 ; 1116 (14%) were retained. Of these,
% 1.62/1.80 ; 178 (16%) were simplified or subsumed later,
% 1.62/1.80 ; 938 (84%) are still being kept.
% 1.62/1.80 ;
% 1.62/1.80 ; Run time in seconds excluding printing time:
% 1.62/1.80 ; 0.005 0% Read assertion file (1 call)
% 1.62/1.80 ; 0.001 0% Assert (17 calls)
% 1.62/1.80 ; 0.113 8% Process new row (7,448 calls)
% 1.62/1.80 ; 0.025 2% Resolution (362 calls)
% 1.62/1.80 ; 0.093 7% Paramodulation (181 calls)
% 1.62/1.80 ; 0.000 0% Factoring (4 calls)
% 1.62/1.80 ; 0.003 0% Embedding (102 calls)
% 1.62/1.80 ; 0.043 3% Condensing (837 calls)
% 1.62/1.80 ; 0.031 2% Forward subsumption (837 calls)
% 1.62/1.80 ; 0.010 1% Backward subsumption (336 calls)
% 1.62/1.80 ; 0.024 2% Clause clause subsumption (2,690 calls)
% 1.62/1.80 ; 0.901 67% Forward simplification (7,309 calls)
% 1.62/1.80 ; 0.018 1% Backward simplification (1,017 calls)
% 1.62/1.80 ; 0.012 1% Ordering (4,874 calls)
% 1.62/1.80 ; 0.009 1% Ordering ac (837 calls)
% 1.62/1.80 ; 0.000 0% Sortal reasoning (32 calls)
% 1.62/1.80 ; 0.000 0% Purity testing (1 call)
% 1.62/1.80 ; 0.054 4% Other
% 1.62/1.80 ; 1.342 Total
% 1.62/1.80 ; 1.343 Real time
% 1.62/1.80 ;
% 1.62/1.80 ; Term-hash-array has 2,293 terms in all.
% 1.62/1.80 ; Feature-vector-row-index has 304 entries (304 at peak, 336 added, 32 deleted).
% 1.62/1.80 ; Feature-vector-row-index has 1,706 nodes (1,706 at peak, 2,004 added, 298 deleted).
% 1.62/1.80 ; Retrieved 3,257 possibly forward subsuming rows in 837 calls.
% 1.62/1.80 ; Retrieved 329 possibly backward subsumed rows in 336 calls.
% 1.62/1.80 ; Path-index has 1,983 entries (1,983 at peak, 2,306 added, 323 deleted).
% 1.62/1.80 ; Path-index has 602 nodes (603 at peak, 700 added, 98 deleted).
% 1.62/1.80 ; Trie-index has 1,983 entries (1,983 at peak, 2,306 added, 323 deleted).
% 1.62/1.80 ; Trie-index has 1,159 nodes (1,159 at peak, 1,446 added, 287 deleted).
% 1.62/1.80 ; Retrieved 1,053,154 generalization terms in 42,104 calls.
% 1.62/1.80 ; Retrieved 1,896 instance terms in 698 calls.
% 1.62/1.80 ; Retrieved 32,324 unifiable terms in 1,910 calls.
% 1.62/1.80 ;
% 1.62/1.80 ; The agenda of rows to process has 32 entries:
% 1.62/1.80 ; 2 with value 19 6 with value 24 1 with value 27
% 1.62/1.80 ; 12 with value 20 3 with value 25 1 with value 30
% 1.62/1.80 ; 2 with value 22 2 with value 26 2 with value 47
% 1.62/1.80 ; 1 with value 23
% 1.62/1.80 ; The agenda of rows to give has 778 entries:
% 1.62/1.80 ; 1 with value (4 13) 6 with value (4 31) 4 with value (4 55)
% 1.62/1.80 ; 49 with value (4 17) 23 with value (4 32) 8 with value (4 56)
% 1.62/1.80 ; 50 with value (4 18) 7 with value (4 33) 5 with value (4 59)
% 1.62/1.80 ; 78 with value (4 19) 19 with value (4 34) 1 with value (4 61)
% 1.62/1.80 ; 78 with value (4 20) 3 with value (4 35) 4 with value (4 63)
% 1.62/1.80 ; 54 with value (4 21) 14 with value (4 36) 8 with value (4 65)
% 1.62/1.80 ; 23 with value (4 22) 8 with value (4 37) 2 with value (4 67)
% 1.62/1.80 ; 53 with value (4 23) 5 with value (4 38) 2 with value (4 68)
% 1.62/1.80 ; 57 with value (4 24) 10 with value (4 39) 6 with value (4 70)
% 1.62/1.80 ; 45 with value (4 25) 6 with value (4 41) 8 with value (4 77)
% 1.62/1.80 ; 34 with value (4 26) 4 with value (4 46) 2 with value (4 79)
% 1.62/1.80 ; 18 with value (4 27) 2 with value (4 47) 2 with value (4 93)
% 1.62/1.80 ; 14 with value (4 28) 2 with value (4 51) 8 with value (4 97)
% 1.62/1.80 ; 17 with value (4 29) 14 with value (4 53) 1 with value (4 107)
% 1.62/1.80 ; 23 with value (4 30)
% 1.62/1.80 Evaluation took:
% 1.62/1.80 1.344 seconds of real time
% 1.62/1.80 1.277475 seconds of user run time
% 1.62/1.80 0.066257 seconds of system run time
% 1.62/1.80 [Run times include 0.048 seconds GC run time.]
% 1.62/1.80 0 calls to %EVAL
% 1.62/1.80 0 page faults and
% 1.62/1.80 128,463,184 bytes consed.
% 1.62/1.80 :PROOF-FOUND
% 1.62/1.80 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T14:51:02
% 1.62/1.80 :PROOF-FOUND
% 1.62/1.80 *
%------------------------------------------------------------------------------