%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE020+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 02:26:10 EDT 2022
% Result : Theorem 4.77s 4.96s
% Output : Refutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 44 ( 35 unt; 0 nHn; 32 RR)
% Number of literals : 57 ( 33 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
addition('SKOLEMAAAV2',multiplication('SKOLEMAAAV3','SKOLEMAAAV4')) != multiplication(addition('SKOLEMAAAV2','SKOLEMAAAV3'),addition('SKOLEMAAAV2','SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
addition('SKOLEMAAAV2',multiplication('SKOLEMAAAV3','SKOLEMAAAV4')) != addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV2'),addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV4'),addition(multiplication('SKOLEMAAAV3','SKOLEMAAAV2'),multiplication('SKOLEMAAAV3','SKOLEMAAAV4')))),
inference('REWRITE',[status(thm)],[25,7,8,theory(equality)]) ).
cnf(27,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(28,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,23]) ).
cnf(29,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(33,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(39,plain,
complement('SKOLEMAAAV2',c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[19,22,theory(equality)]) ).
cnf(81,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV4'),'SKOLEMAAAV4') = one,
inference('HYPERRESOLVE',[status(thm)],[17,27]) ).
cnf(86,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,28]) ).
cnf(91,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(93,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV2'),'SKOLEMAAAV2') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,29]) ).
cnf(94,plain,
multiplication('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,29]) ).
cnf(110,plain,
multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV2') = zero,
inference('HYPERRESOLVE',[status(thm)],[15,39]) ).
cnf(123,plain,
leq('SKOLEMAAAV4',one),
inference('PARAMODULATE',[status(thm)],[33,81,theory(equality)]) ).
cnf(132,plain,
addition('SKOLEMAAAV4',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,123]) ).
cnf(150,plain,
leq('SKOLEMAAAV3',one),
inference('PARAMODULATE',[status(thm)],[33,86,theory(equality)]) ).
cnf(159,plain,
addition('SKOLEMAAAV3',one) = one,
inference('HYPERRESOLVE',[status(thm)],[11,150]) ).
cnf(181,plain,
X = addition(multiplication('SKOLEMAAAV1'('SKOLEMAAAV2'),X),multiplication('SKOLEMAAAV2',X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,91,theory(equality)]),6,theory(equality)]) ).
cnf(185,plain,
complement('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,91,theory(equality)]),94,93,theory(equality)]) ).
cnf(191,plain,
c('SKOLEMAAAV2') = 'SKOLEMAAAV1'('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[20,185,22]) ).
cnf(197,plain,
X = addition(multiplication(c('SKOLEMAAAV2'),X),multiplication('SKOLEMAAAV2',X)),
inference('REWRITE',[status(thm)],[181,191,theory(equality)]) ).
cnf(275,plain,
X = addition(multiplication(X,'SKOLEMAAAV4'),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,132,theory(equality)]),5,theory(equality)]) ).
cnf(290,plain,
X = addition(multiplication('SKOLEMAAAV3',X),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,159,theory(equality)]),6,theory(equality)]) ).
cnf(2726,plain,
'SKOLEMAAAV2' = multiplication('SKOLEMAAAV2','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[197,110,theory(equality)]),1,theory(equality)]) ).
cnf(2727,plain,
$false,
inference('REWRITE',[status(thm)],[26,275,290,2726,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 07:51:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T07:51:41
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-16T07:51:41
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.51 ; Declaring addition to be commutative.
% 4.77/4.96 ; Declaring addition to be associative-commutative.
% 4.77/4.96
% 4.77/4.96 #||
% 4.77/4.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.77/4.96 % SZS output start Refutation
% See solution above
% 4.77/4.96 ||#
% 4.77/4.96
% 4.77/4.96 ; Summary of computation:
% 4.77/4.96 ; 18944 formulas have been input or derived (from 294 formulas).
% 4.77/4.96 ; 2727 (14%) were retained. Of these,
% 4.77/4.96 ; 508 (19%) were simplified or subsumed later,
% 4.77/4.96 ; 2219 (81%) are still being kept.
% 4.77/4.96 ;
% 4.77/4.96 ; Run time in seconds excluding printing time:
% 4.77/4.96 ; 0.004 0% Read assertion file (1 call)
% 4.77/4.96 ; 0.002 0% Assert (17 calls)
% 4.77/4.96 ; 0.294 7% Process new row (17,731 calls)
% 4.77/4.96 ; 0.071 2% Resolution (586 calls)
% 4.77/4.96 ; 0.222 5% Paramodulation (293 calls)
% 4.77/4.96 ; 0.000 0% Factoring (4 calls)
% 4.77/4.96 ; 0.004 0% Embedding (242 calls)
% 4.77/4.96 ; 0.057 1% Condensing (1,381 calls)
% 4.77/4.96 ; 0.081 2% Forward subsumption (1,381 calls)
% 4.77/4.96 ; 0.019 0% Backward subsumption (563 calls)
% 4.77/4.96 ; 0.042 1% Clause clause subsumption (5,143 calls)
% 4.77/4.96 ; 3.485 78% Forward simplification (17,437 calls)
% 4.77/4.96 ; 0.063 1% Backward simplification (2,487 calls)
% 4.77/4.97 ; 0.025 1% Ordering (11,717 calls)
% 4.77/4.97 ; 0.010 0% Ordering ac (2,325 calls)
% 4.77/4.97 ; 0.001 0% Sortal reasoning (32 calls)
% 4.77/4.97 ; 0.000 0% Purity testing (1 call)
% 4.77/4.97 ; 0.089 2% Other
% 4.77/4.97 ; 4.469 Total
% 4.77/4.97 ; 4.472 Real time
% 4.77/4.97 ;
% 4.77/4.97 ; Term-hash-array has 5,217 terms in all.
% 4.77/4.97 ; Feature-vector-row-index has 495 entries (509 at peak, 563 added, 68 deleted).
% 4.77/4.97 ; Feature-vector-row-index has 2,491 nodes (2,633 at peak, 3,142 added, 651 deleted).
% 4.77/4.97 ; Retrieved 6,030 possibly forward subsuming rows in 1,381 calls.
% 4.77/4.97 ; Retrieved 586 possibly backward subsumed rows in 563 calls.
% 4.77/4.97 ; Path-index has 4,356 entries (4,548 at peak, 5,240 added, 884 deleted).
% 4.77/4.97 ; Path-index has 720 nodes (720 at peak, 850 added, 130 deleted).
% 4.77/4.97 ; Trie-index has 4,356 entries (4,548 at peak, 5,240 added, 884 deleted).
% 4.77/4.97 ; Trie-index has 1,933 nodes (1,992 at peak, 2,468 added, 535 deleted).
% 4.77/4.97 ; Retrieved 6,228,538 generalization terms in 93,940 calls.
% 4.77/4.97 ; Retrieved 5,981 instance terms in 1,941 calls.
% 4.77/4.97 ; Retrieved 93,422 unifiable terms in 3,158 calls.
% 4.77/4.97 ;
% 4.77/4.97 ; The agenda of backward simplifiable rows to process has 98 entries:
% 4.77/4.97 ; 98 with value 0
% 4.77/4.97 ; The agenda of rows to process has 71 entries:
% 4.77/4.97 ; 1 with value 14 7 with value 19 3 with value 25
% 4.77/4.97 ; 1 with value 15 16 with value 20 2 with value 26
% 4.77/4.97 ; 6 with value 16 2 with value 22 1 with value 27
% 4.77/4.97 ; 6 with value 17 1 with value 23 1 with value 30
% 4.77/4.97 ; 14 with value 18 8 with value 24 2 with value 47
% 4.77/4.97 ; The agenda of rows to give has 1964 entries:
% 4.77/4.97 ; 1 with value (4 11) 47 with value (4 30) 6 with value (4 55)
% 4.77/4.97 ; 1 with value (4 13) 10 with value (4 31) 12 with value (4 56)
% 4.77/4.97 ; 99 with value (4 17) 66 with value (4 32) 7 with value (4 59)
% 4.77/4.97 ; 145 with value (4 18) 12 with value (4 33) 1 with value (4 61)
% 4.77/4.97 ; 190 with value (4 19) 48 with value (4 34) 6 with value (4 63)
% 4.77/4.97 ; 250 with value (4 20) 6 with value (4 35) 12 with value (4 65)
% 4.77/4.97 ; 141 with value (4 21) 26 with value (4 36) 8 with value (4 67)
% 4.77/4.97 ; 72 with value (4 22) 12 with value (4 37) 8 with value (4 68)
% 4.77/4.97 ; 124 with value (4 23) 5 with value (4 38) 12 with value (4 70)
% 4.77/4.97 ; 153 with value (4 24) 14 with value (4 39) 12 with value (4 77)
% 4.77/4.97 ; 136 with value (4 25) 2 with value (4 41) 2 with value (4 79)
% 4.77/4.97 ; 117 with value (4 26) 6 with value (4 46) 8 with value (4 93)
% 4.77/4.97 ; 56 with value (4 27) 8 with value (4 47) 12 with value (4 97)
% 4.77/4.97 ; 52 with value (4 28) 2 with value (4 51) 1 with value (4 107)
% 4.77/4.97 ; 32 with value (4 29) 24 with value (4 53)
% 4.77/4.97 Evaluation took:
% 4.77/4.97 4.473 seconds of real time
% 4.77/4.97 4.343898 seconds of user run time
% 4.77/4.97 0.129007 seconds of system run time
% 4.77/4.97 [Run times include 0.179 seconds GC run time.]
% 4.77/4.97 0 calls to %EVAL
% 4.77/4.97 0 page faults and
% 4.77/4.97 398,651,760 bytes consed.
% 4.77/4.97 :PROOF-FOUND
% 4.77/4.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T07:51:45
% 4.77/4.97 :PROOF-FOUND
% 4.77/4.97 *
%------------------------------------------------------------------------------