TSTP Solution File: KLE119+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE119+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 02:26:43 EDT 2022
% Result : Theorem 0.49s 0.67s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
cnf(9,axiom,
multiplication(X,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(19,axiom,
multiplication(X,coantidomain(X)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain1) ).
cnf(22,axiom,
addition(coantidomain(coantidomain(X)),coantidomain(X)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain3) ).
cnf(24,axiom,
codomain(X) = coantidomain(coantidomain(X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain4) ).
cnf(31,axiom,
backward_diamond(X,Y) = codomain(multiplication(codomain(Y),X)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
cnf(32,plain,
backward_diamond(X,Y) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(Y)),X))),
inference('REWRITE',[status(thm)],[31,24,theory(equality)]) ).
cnf(37,negated_conjecture,
addition(backward_diamond(zero,domain('SKOLEMAAAV1')),domain('SKOLEMAAAV2')) != domain('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(38,plain,
addition(backward_diamond(zero,antidomain(antidomain('SKOLEMAAAV1'))),antidomain(antidomain('SKOLEMAAAV2'))) != antidomain(antidomain('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[37,18,theory(equality)]) ).
cnf(40,plain,
zero = coantidomain(one),
inference('PARAMODULATE',[status(thm)],[6,19,theory(equality)]) ).
cnf(113,plain,
backward_diamond(zero,X) = coantidomain(coantidomain(zero)),
inference('PARAMODULATE',[status(thm)],[32,9,theory(equality)]) ).
cnf(114,plain,
addition(coantidomain(coantidomain(zero)),antidomain(antidomain('SKOLEMAAAV2'))) != antidomain(antidomain('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[38,113,theory(equality)]) ).
cnf(270,plain,
coantidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,40,theory(equality)]),1,theory(equality)]) ).
cnf(272,plain,
$false,
inference('REWRITE',[status(thm)],[114,1,40,270,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 : Thu Jun 16 12:53:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:53:20
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-16T12:53:20
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.50 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.50 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.50 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.50 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.20/0.50 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.20/0.50 ; Declaring addition to be commutative.
% 0.49/0.67 ; Declaring addition to be associative-commutative.
% 0.49/0.67
% 0.49/0.67 #||
% 0.49/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.67 % SZS output start Refutation
% See solution above
% 0.49/0.67 ||#
% 0.49/0.67
% 0.49/0.67 ; Summary of computation:
% 0.49/0.67 ; 637 formulas have been input or derived (from 36 formulas).
% 0.49/0.67 ; 272 (43%) were retained. Of these,
% 0.49/0.67 ; 37 (14%) were simplified or subsumed later,
% 0.49/0.67 ; 235 (86%) are still being kept.
% 0.49/0.67 ;
% 0.49/0.67 ; Run time in seconds excluding printing time:
% 0.49/0.67 ; 0.006 3% Read assertion file (1 call)
% 0.49/0.67 ; 0.001 1% Assert (27 calls)
% 0.49/0.67 ; 0.031 17% Process new row (601 calls)
% 0.49/0.67 ; 0.005 3% Resolution (70 calls)
% 0.49/0.67 ; 0.015 8% Paramodulation (35 calls)
% 0.49/0.67 ; 0.003 2% Embedding (68 calls)
% 0.49/0.67 ; 0.004 2% Condensing (69 calls)
% 0.49/0.67 ; 0.000 0% Forward subsumption (69 calls)
% 0.49/0.67 ; 0.001 1% Backward subsumption (33 calls)
% 0.49/0.67 ; 0.000 0% Clause clause subsumption (117 calls)
% 0.49/0.67 ; 0.070 39% Forward simplification (536 calls)
% 0.49/0.67 ; 0.007 4% Backward simplification (200 calls)
% 0.49/0.67 ; 0.006 3% Ordering (842 calls)
% 0.49/0.67 ; 0.001 1% Ordering ac (111 calls)
% 0.49/0.67 ; 0.001 1% Sortal reasoning (32 calls)
% 0.49/0.67 ; 0.000 0% Purity testing (1 call)
% 0.49/0.67 ; 0.029 16% Other
% 0.49/0.67 ; 0.180 Total
% 0.49/0.67 ; 0.192 Real time
% 0.49/0.67 ;
% 0.49/0.67 ; Term-hash-array has 924 terms in all.
% 0.49/0.67 ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.49/0.67 ; Feature-vector-row-index has 266 nodes (266 at peak, 266 added, 0 deleted).
% 0.49/0.67 ; Retrieved 135 possibly forward subsuming rows in 69 calls.
% 0.49/0.67 ; Retrieved 0 possibly backward subsumed rows in 33 calls.
% 0.49/0.67 ; Path-index has 835 entries (891 at peak, 940 added, 105 deleted).
% 0.49/0.67 ; Path-index has 2,917 nodes (2,959 at peak, 3,019 added, 102 deleted).
% 0.49/0.67 ; Trie-index has 835 entries (891 at peak, 940 added, 105 deleted).
% 0.49/0.67 ; Trie-index has 2,025 nodes (2,081 at peak, 2,202 added, 177 deleted).
% 0.49/0.67 ; Retrieved 38,093 generalization terms in 6,275 calls.
% 0.49/0.67 ; Retrieved 234 instance terms in 206 calls.
% 0.49/0.67 ; Retrieved 1,451 unifiable terms in 204 calls.
% 0.49/0.67 ;
% 0.49/0.67 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.49/0.67 ; 7 with value 0
% 0.49/0.67 ; The agenda of rows to process has 2 entries:
% 0.49/0.67 ; 1 with value 17 1 with value 23
% 0.49/0.67 ; The agenda of rows to give has 200 entries:
% 0.49/0.67 ; 6 with value (4 8) 9 with value (4 20) 8 with value (4 31)
% 0.49/0.67 ; 2 with value (4 9) 13 with value (4 21) 16 with value (4 32)
% 0.49/0.67 ; 5 with value (4 10) 2 with value (4 22) 4 with value (4 33)
% 0.49/0.67 ; 3 with value (4 12) 10 with value (4 23) 12 with value (4 34)
% 0.49/0.67 ; 2 with value (4 13) 8 with value (4 24) 4 with value (4 38)
% 0.49/0.67 ; 12 with value (4 15) 8 with value (4 25) 2 with value (4 39)
% 0.49/0.67 ; 3 with value (4 16) 2 with value (4 26) 4 with value (4 40)
% 0.49/0.67 ; 4 with value (4 17) 10 with value (4 27) 4 with value (4 42)
% 0.49/0.67 ; 15 with value (4 18) 12 with value (4 28) 2 with value (4 45)
% 0.49/0.67 ; 6 with value (4 19) 10 with value (4 30) 2 with value (4 47)
% 0.49/0.67 Evaluation took:
% 0.49/0.67 0.193 seconds of real time
% 0.49/0.67 0.175732 seconds of user run time
% 0.49/0.67 0.005968 seconds of system run time
% 0.49/0.67 0 calls to %EVAL
% 0.49/0.67 0 page faults and
% 0.49/0.67 9,024,528 bytes consed.
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:53:20
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 *
%------------------------------------------------------------------------------