TSTP Solution File: KLE088+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 02:26:35 EDT 2022
% Result : Theorem 2.13s 2.32s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 30 ( 28 unt; 0 nHn; 14 RR)
% Number of literals : 32 ( 27 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
multiplication(antidomain(X),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
cnf(14,axiom,
addition(antidomain(multiplication(X,Y)),antidomain(multiplication(X,antidomain(antidomain(Y))))) = antidomain(multiplication(X,antidomain(antidomain(Y)))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).
cnf(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
cnf(17,plain,
addition(antidomain(antidomain(X)),addition(antidomain(X),Y)) = addition(one,Y),
inference('EMBED',[status(thm)],[16]) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(25,negated_conjecture,
multiplication(domain('SKOLEMAAAV1'),'SKOLEMAAAV2') = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
multiplication(antidomain(antidomain('SKOLEMAAAV1')),'SKOLEMAAAV2') = zero,
inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).
cnf(27,negated_conjecture,
addition(domain('SKOLEMAAAV1'),antidomain('SKOLEMAAAV2')) != antidomain('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,plain,
addition(antidomain(antidomain('SKOLEMAAAV1')),antidomain('SKOLEMAAAV2')) != antidomain('SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[27,18,theory(equality)]) ).
cnf(29,plain,
zero = antidomain(one),
inference('PARAMODULATE',[status(thm)],[5,13,theory(equality)]) ).
cnf(39,plain,
addition(one,antidomain(X)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(57,plain,
~ leq(antidomain(antidomain('SKOLEMAAAV1')),antidomain('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[11,28]) ).
cnf(69,plain,
X = addition(multiplication(X,antidomain(antidomain(Y))),multiplication(X,antidomain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]),5,theory(equality)]) ).
cnf(100,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(antidomain('SKOLEMAAAV1')),antidomain(antidomain('SKOLEMAAAV2'))))) = antidomain(multiplication(antidomain(antidomain('SKOLEMAAAV1')),antidomain(antidomain('SKOLEMAAAV2')))),
inference('PARAMODULATE',[status(thm)],[14,26,theory(equality)]) ).
cnf(167,plain,
antidomain(zero) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,29,theory(equality)]),1,theory(equality)]) ).
cnf(170,plain,
one = antidomain(multiplication(antidomain(antidomain('SKOLEMAAAV1')),antidomain(antidomain('SKOLEMAAAV2')))),
inference('REWRITE',[status(thm)],[100,39,167,theory(equality)]) ).
cnf(188,plain,
X = addition(X,multiplication(antidomain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,39,theory(equality)]),6,theory(equality)]) ).
cnf(236,plain,
leq(multiplication(antidomain(X),Y),Y),
inference('HYPERRESOLVE',[status(thm)],[12,188]) ).
cnf(633,plain,
multiplication(antidomain(antidomain('SKOLEMAAAV1')),antidomain(antidomain('SKOLEMAAAV2'))) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,170,theory(equality)]),6,theory(equality)]) ).
cnf(1097,plain,
antidomain(antidomain('SKOLEMAAAV1')) = multiplication(antidomain(antidomain('SKOLEMAAAV1')),antidomain('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[69,633,theory(equality)]),1,theory(equality)]) ).
cnf(1164,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,1097,theory(equality)]),57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 08:28:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:28:54
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T08:28:54
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.51 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.20/0.51 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.20/0.51 ; Declaring addition to be commutative.
% 2.13/2.32 ; Declaring addition to be associative-commutative.
% 2.13/2.32
% 2.13/2.32 #||
% 2.13/2.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.32 % SZS output start Refutation
% See solution above
% 2.13/2.33 ||#
% 2.13/2.33
% 2.13/2.33 ; Summary of computation:
% 2.13/2.33 ; 8136 formulas have been input or derived (from 150 formulas).
% 2.13/2.33 ; 1164 (14%) were retained. Of these,
% 2.13/2.33 ; 44 ( 4%) were simplified or subsumed later,
% 2.13/2.33 ; 1120 (96%) are still being kept.
% 2.13/2.33 ;
% 2.13/2.33 ; Run time in seconds excluding printing time:
% 2.13/2.33 ; 0.005 0% Read assertion file (1 call)
% 2.13/2.33 ; 0.002 0% Assert (21 calls)
% 2.13/2.33 ; 0.117 6% Process new row (7,748 calls)
% 2.13/2.33 ; 0.019 1% Resolution (298 calls)
% 2.13/2.33 ; 0.136 7% Paramodulation (149 calls)
% 2.13/2.33 ; 0.001 0% Embedding (134 calls)
% 2.13/2.33 ; 0.014 1% Condensing (402 calls)
% 2.13/2.33 ; 0.020 1% Forward subsumption (402 calls)
% 2.13/2.33 ; 0.002 0% Backward subsumption (119 calls)
% 2.13/2.33 ; 0.018 1% Clause clause subsumption (1,153 calls)
% 2.13/2.33 ; 1.384 76% Forward simplification (7,589 calls)
% 2.13/2.33 ; 0.039 2% Backward simplification (1,031 calls)
% 2.13/2.33 ; 0.025 1% Ordering (5,519 calls)
% 2.13/2.33 ; 0.004 0% Ordering ac (730 calls)
% 2.13/2.33 ; 0.000 0% Sortal reasoning (32 calls)
% 2.13/2.33 ; 0.000 0% Purity testing (1 call)
% 2.13/2.33 ; 0.046 3% Other
% 2.13/2.33 ; 1.832 Total
% 2.13/2.33 ; 1.840 Real time
% 2.13/2.33 ;
% 2.13/2.33 ; Term-hash-array has 2,615 terms in all.
% 2.13/2.33 ; Feature-vector-row-index has 119 entries (119 at peak, 119 added, 0 deleted).
% 2.13/2.33 ; Feature-vector-row-index has 752 nodes (752 at peak, 752 added, 0 deleted).
% 2.13/2.33 ; Retrieved 1,634 possibly forward subsuming rows in 402 calls.
% 2.13/2.33 ; Retrieved 65 possibly backward subsumed rows in 119 calls.
% 2.13/2.33 ; Path-index has 2,513 entries (2,513 at peak, 2,639 added, 126 deleted).
% 2.13/2.33 ; Path-index has 1,701 nodes (1,701 at peak, 1,794 added, 93 deleted).
% 2.13/2.33 ; Trie-index has 2,513 entries (2,513 at peak, 2,639 added, 126 deleted).
% 2.13/2.33 ; Trie-index has 2,324 nodes (2,324 at peak, 2,524 added, 200 deleted).
% 2.13/2.33 ; Retrieved 1,968,965 generalization terms in 52,686 calls.
% 2.13/2.33 ; Retrieved 5,463 instance terms in 929 calls.
% 2.13/2.33 ; Retrieved 17,504 unifiable terms in 1,068 calls.
% 2.13/2.33 ;
% 2.13/2.33 ; The agenda of rows to process has 32 entries:
% 2.13/2.33 ; 2 with value 14 7 with value 19 2 with value 24
% 2.13/2.33 ; 4 with value 15 1 with value 20 1 with value 25
% 2.13/2.33 ; 5 with value 17 2 with value 22 1 with value 35
% 2.13/2.33 ; 5 with value 18 1 with value 23 1 with value 36
% 2.13/2.33 ; The agenda of rows to give has 975 entries:
% 2.13/2.33 ; 1 with value (4 17) 37 with value (4 27) 4 with value (4 38)
% 2.13/2.33 ; 71 with value (4 18) 38 with value (4 28) 10 with value (4 39)
% 2.13/2.33 ; 87 with value (4 19) 44 with value (4 29) 4 with value (4 40)
% 2.13/2.33 ; 79 with value (4 20) 54 with value (4 30) 4 with value (4 42)
% 2.13/2.33 ; 90 with value (4 21) 28 with value (4 31) 8 with value (4 43)
% 2.13/2.33 ; 60 with value (4 22) 50 with value (4 32) 2 with value (4 44)
% 2.13/2.33 ; 61 with value (4 23) 14 with value (4 33) 2 with value (4 45)
% 2.13/2.33 ; 47 with value (4 24) 24 with value (4 34) 2 with value (4 47)
% 2.13/2.33 ; 71 with value (4 25) 4 with value (4 35) 2 with value (4 48)
% 2.13/2.33 ; 65 with value (4 26) 12 with value (4 36)
% 2.13/2.33 Evaluation took:
% 2.13/2.33 1.841 seconds of real time
% 2.13/2.33 1.776855 seconds of user run time
% 2.13/2.33 0.063218 seconds of system run time
% 2.13/2.33 [Run times include 0.058 seconds GC run time.]
% 2.13/2.33 0 calls to %EVAL
% 2.13/2.33 0 page faults and
% 2.13/2.33 153,077,696 bytes consed.
% 2.13/2.33 :PROOF-FOUND
% 2.13/2.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:28:56
% 2.13/2.33 :PROOF-FOUND
% 2.13/2.33 *
%------------------------------------------------------------------------------