%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Mon Jul 18 20:40:33 EDT 2022
% Result : Unsatisfiable 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 equ; 1 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_additive_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(right_multiplicative_zero,axiom,
multiply(X,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).
cnf(5,plain,
add(additive_inverse(X),add(X,Y)) = add(additive_identity,Y),
inference('EMBED',[status(thm)],[left_additive_inverse]) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(prove_equation,negated_conjecture,
multiply(a,additive_inverse(b)) != additive_inverse(multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(15,plain,
additive_identity = additive_inverse(additive_identity),
inference('PARAMODULATE',[status(thm)],[left_additive_identity,left_additive_inverse,theory(equality)]) ).
cnf(16,plain,
additive_inverse(X) = add(additive_inverse(add(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),left_additive_identity,theory(equality)]) ).
cnf(27,plain,
additive_identity = add(multiply(X,Y),multiply(X,additive_inverse(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[distribute1,left_additive_inverse,theory(equality)]),right_multiplicative_zero,theory(equality)]) ).
cnf(89,plain,
additive_inverse(multiply(X,Y)) = multiply(X,additive_inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,27,theory(equality)]),left_additive_identity,15,theory(equality)]) ).
cnf(92,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equation,89,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : Mon May 30 07:11:12 EDT 2022
% 0.13/0.35 % 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 2022-05-30T07:11:12
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T07:11:12
% 0.20/0.50
% 0.20/0.50 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.20/0.50 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.20/0.50 ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.20/0.50 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.20/0.50 ; Declaring add to be commutative.
% 0.48/0.64 ; Declaring add to be associative-commutative.
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 516 formulas have been input or derived (from 22 formulas).
% 0.48/0.64 ; 92 (18%) were retained. Of these,
% 0.48/0.64 ; 12 (13%) were simplified or subsumed later,
% 0.48/0.64 ; 80 (87%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds excluding printing time:
% 0.48/0.64 ; 0.003 2% Read assertion file (1 call)
% 0.48/0.64 ; 0.001 1% Assert (16 calls)
% 0.48/0.64 ; 0.017 11% Process new row (492 calls)
% 0.48/0.64 ; 0.002 1% Resolution (42 calls)
% 0.48/0.64 ; 0.017 11% Paramodulation (21 calls)
% 0.48/0.64 ; 0.002 1% Embedding (36 calls)
% 0.48/0.64 ; 0.057 37% Forward simplification (460 calls)
% 0.48/0.64 ; 0.006 4% Backward simplification (60 calls)
% 0.48/0.64 ; 0.005 3% Ordering (1,403 calls)
% 0.48/0.64 ; 0.021 14% Ordering ac (878 calls)
% 0.48/0.64 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.023 15% Other
% 0.48/0.64 ; 0.155 Total
% 0.48/0.64 ; 0.157 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 346 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.48/0.64 ; Path-index has 303 entries (321 at peak, 356 added, 53 deleted).
% 0.48/0.64 ; Path-index has 472 nodes (493 at peak, 529 added, 57 deleted).
% 0.48/0.64 ; Trie-index has 303 entries (321 at peak, 356 added, 53 deleted).
% 0.48/0.64 ; Trie-index has 290 nodes (311 at peak, 330 added, 40 deleted).
% 0.48/0.64 ; Retrieved 47,736 generalization terms in 5,163 calls.
% 0.48/0.64 ; Retrieved 253 instance terms in 87 calls.
% 0.48/0.64 ; Retrieved 677 unifiable terms in 113 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to process has 12 entries:
% 0.48/0.64 ; 1 with value 18 3 with value 21 5 with value 23
% 0.48/0.64 ; 2 with value 20 1 with value 22
% 0.48/0.64 ; The agenda of rows to give has 60 entries:
% 0.48/0.64 ; 1 with value (4 14) 2 with value (4 19) 2 with value (4 25)
% 0.48/0.64 ; 6 with value (4 15) 5 with value (4 20) 4 with value (4 28)
% 0.48/0.64 ; 2 with value (4 16) 4 with value (4 22) 4 with value (4 52)
% 0.48/0.64 ; 2 with value (4 18) 28 with value (4 24)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.157 seconds of real time
% 0.48/0.64 0.141868 seconds of user run time
% 0.48/0.64 0.01453 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 7,281,016 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T07:11:12
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------