TSTP Solution File: LCL161-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:20:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
not(X) = xor(X,truth),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_1) ).
cnf(axiom_2,axiom,
xor(X,falsehood) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_2) ).
cnf(axiom_4,axiom,
and_star(X,truth) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_4) ).
cnf(axiom_7,axiom,
xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_7) ).
cnf(11,plain,
xor(X,not(Y)) = xor(not(X),Y),
inference('REWRITE',[status(thm)],[axiom_7,axiom_1,theory(equality)]) ).
cnf(false_definition,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
cnf(implies_definition,axiom,
implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
cnf(17,plain,
implies(X,Y) = not(and_star(not(Y),X)),
inference('REWRITE',[status(thm)],[implies_definition,axiom_1,theory(equality)]) ).
cnf(prove_wajsberg_axiom,negated_conjecture,
implies(truth,x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
cnf(19,plain,
not(not(x)) != x,
inference('REWRITE',[status(thm)],[prove_wajsberg_axiom,axiom_4,17,theory(equality)]) ).
cnf(21,plain,
not(not(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_1,11,theory(equality)]),axiom_2,false_definition,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[19,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 13:57:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T13:57:47
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-04T13:57:47
% 0.19/0.48
% 0.19/0.48 ; Recognized right identity assertion (= (|xor| ?X |falsehood|) ?X).
% 0.19/0.48 ; Recognized right identity assertion (= (|and_star| ?X |truth|) ?X).
% 0.19/0.48 ; Recognized commutativity assertion (= (|xor| ?X ?Y) (|xor| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|and_star| (|and_star| ?X ?Y) ?Z) (|and_star| ?X (|and_star| ?Y ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (= (|and_star| ?X ?Y) (|and_star| ?Y ?X)).
% 0.19/0.48 ; Declaring xor to be commutative.
% 0.19/0.48 ; Declaring and_star to be commutative.
% 0.19/0.50 ; Declaring and_star to be associative-commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 107 formulas have been input or derived (from 12 formulas).
% 0.19/0.50 ; 22 (21%) were retained. Of these,
% 0.19/0.50 ; 6 (27%) were simplified or subsumed later,
% 0.19/0.50 ; 16 (73%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (14 calls)
% 0.19/0.50 ; 0.003 9% Process new row (78 calls)
% 0.19/0.50 ; 0.000 0% Resolution (22 calls)
% 0.19/0.50 ; 0.004 12% Paramodulation (11 calls)
% 0.19/0.50 ; 0.000 0% Embedding (4 calls)
% 0.19/0.50 ; 0.002 6% Forward simplification (75 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (14 calls)
% 0.19/0.51 ; 0.001 3% Ordering (93 calls)
% 0.19/0.51 ; 0.000 0% Ordering ac (20 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 62% Other
% 0.19/0.51 ; 0.034 Total
% 0.19/0.51 ; 0.035 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 43 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 43 entries (46 at peak, 47 added, 4 deleted).
% 0.19/0.51 ; Path-index has 70 nodes (74 at peak, 75 added, 5 deleted).
% 0.19/0.51 ; Trie-index has 43 entries (46 at peak, 47 added, 4 deleted).
% 0.19/0.51 ; Trie-index has 59 nodes (63 at peak, 64 added, 5 deleted).
% 0.19/0.51 ; Retrieved 422 generalization terms in 249 calls.
% 0.19/0.51 ; Retrieved 20 instance terms in 15 calls.
% 0.19/0.51 ; Retrieved 97 unifiable terms in 55 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 13 entries:
% 0.19/0.51 ; 5 with value 12 4 with value 13 4 with value 16
% 0.19/0.51 ; The agenda of input rows to give has 3 entries:
% 0.19/0.51 ; 1 with value 13 2 with value 20
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 1 with value (4 7) 1 with value (4 9)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.035 seconds of real time
% 0.19/0.51 0.030287 seconds of user run time
% 0.19/0.51 0.005385 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,178,232 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T13:57:47
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------