TSTP Solution File: RNG008-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG008-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 20:40:32 EDT 2022
% Result : Unsatisfiable 0.45s 0.69s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 16 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',left_identity) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',left_additive_inverse) ).
cnf(distribute1,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',distribute1) ).
cnf(distribute2,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',distribute2) ).
cnf(additive_inverse_additive_inverse,axiom,
additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).
cnf(multiply_additive_inverse1,axiom,
multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).
cnf(multiply_additive_inverse2,axiom,
multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).
cnf(boolean_ring,hypothesis,
multiply(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).
cnf(a_times_b_is_c,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(prove_commutativity,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(20,plain,
X = additive_inverse(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[boolean_ring,multiply_additive_inverse1,theory(equality)]),additive_inverse_additive_inverse,boolean_ring,multiply_additive_inverse2,theory(equality)]) ).
cnf(21,plain,
add(X,X) = additive_identity,
inference('REWRITE',[status(thm)],[left_additive_inverse,20,theory(equality)]) ).
cnf(22,plain,
add(X,add(X,Y)) = add(additive_identity,Y),
inference('EMBED',[status(thm)],[21]) ).
cnf(32,plain,
add(X,add(multiply(Y,X),add(multiply(X,Y),Y))) = add(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[boolean_ring,distribute1,theory(equality)]),boolean_ring,distribute2,theory(equality)]) ).
cnf(129,plain,
add(b,add(c,add(multiply(b,a),a))) = add(b,a),
inference('PARAMODULATE',[status(thm)],[32,a_times_b_is_c,theory(equality)]) ).
cnf(130,plain,
add(b,add(c,add(multiply(b,a),add(a,X)))) = add(b,add(a,X)),
inference('EMBED',[status(thm)],[129]) ).
cnf(206,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,130,theory(equality)]),prove_commutativity,left_identity,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 12:36:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:36:31
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-30T12:36:31
% 0.18/0.47
% 0.18/0.47 ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.18/0.47 ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.18/0.47 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.18/0.47 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.18/0.47 ; Declaring add to be commutative.
% 0.45/0.69 ; Declaring add to be associative-commutative.
% 0.45/0.69
% 0.45/0.69 #||
% 0.45/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.69 % SZS output start Refutation
% See solution above
% 0.45/0.69 ||#
% 0.45/0.69
% 0.45/0.69 ; Summary of computation:
% 0.45/0.69 ; 1143 formulas have been input or derived (from 44 formulas).
% 0.45/0.69 ; 206 (18%) were retained. Of these,
% 0.45/0.69 ; 46 (22%) were simplified or subsumed later,
% 0.45/0.69 ; 160 (78%) are still being kept.
% 0.45/0.69 ;
% 0.45/0.69 ; Run time in seconds excluding printing time:
% 0.45/0.69 ; 0.003 1% Read assertion file (1 call)
% 0.45/0.69 ; 0.001 0% Assert (17 calls)
% 0.45/0.69 ; 0.017 7% Process new row (937 calls)
% 0.45/0.69 ; 0.003 1% Resolution (86 calls)
% 0.45/0.69 ; 0.022 9% Paramodulation (43 calls)
% 0.45/0.69 ; 0.001 0% Embedding (50 calls)
% 0.45/0.69 ; 0.119 51% Forward simplification (813 calls)
% 0.45/0.69 ; 0.010 4% Backward simplification (159 calls)
% 0.45/0.69 ; 0.021 9% Ordering (4,143 calls)
% 0.45/0.69 ; 0.005 2% Ordering ac (309 calls)
% 0.45/0.69 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.69 ; 0.000 0% Purity testing (1 call)
% 0.45/0.69 ; 0.032 14% Other
% 0.45/0.69 ; 0.234 Total
% 0.45/0.69 ; 0.235 Real time
% 0.45/0.69 ;
% 0.45/0.69 ; Term-hash-array has 583 terms in all.
% 0.45/0.69 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.45/0.69 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.45/0.69 ; Path-index has 476 entries (476 at peak, 591 added, 115 deleted).
% 0.45/0.69 ; Path-index has 257 nodes (257 at peak, 279 added, 22 deleted).
% 0.45/0.69 ; Trie-index has 476 entries (476 at peak, 591 added, 115 deleted).
% 0.45/0.69 ; Trie-index has 968 nodes (968 at peak, 1,182 added, 214 deleted).
% 0.45/0.69 ; Retrieved 64,133 generalization terms in 7,942 calls.
% 0.45/0.69 ; Retrieved 681 instance terms in 238 calls.
% 0.45/0.69 ; Retrieved 2,088 unifiable terms in 263 calls.
% 0.45/0.69 ;
% 0.45/0.69 ; The agenda of rows to process has 181 entries:
% 0.45/0.69 ; 13 with value 21 32 with value 35 2 with value 48
% 0.45/0.69 ; 17 with value 25 1 with value 40 28 with value 49
% 0.45/0.69 ; 4 with value 30 12 with value 41 16 with value 57
% 0.45/0.69 ; 56 with value 31
% 0.45/0.69 ; The agenda of rows to give has 127 entries:
% 0.45/0.69 ; 7 with value (4 19) 9 with value (4 26) 8 with value (4 32)
% 0.45/0.69 ; 7 with value (4 20) 4 with value (4 27) 8 with value (4 33)
% 0.45/0.69 ; 4 with value (4 21) 9 with value (4 28) 8 with value (4 34)
% 0.45/0.69 ; 8 with value (4 22) 8 with value (4 29) 6 with value (4 36)
% 0.45/0.69 ; 2 with value (4 23) 1 with value (4 30) 4 with value (4 38)
% 0.45/0.69 ; 24 with value (4 24) 4 with value (4 31) 2 with value (4 46)
% 0.45/0.69 ; 4 with value (4 25)
% 0.45/0.69 Evaluation took:
% 0.45/0.69 0.236 seconds of real time
% 0.45/0.69 0.215297 seconds of user run time
% 0.45/0.69 0.020254 seconds of system run time
% 0.45/0.69 0 calls to %EVAL
% 0.45/0.69 0 page faults and
% 0.45/0.69 12,200,336 bytes consed.
% 0.45/0.69 :PROOF-FOUND
% 0.45/0.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:36:32
% 0.45/0.69 :PROOF-FOUND
% 0.45/0.69 *
%------------------------------------------------------------------------------