TSTP Solution File: RNG037-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 20:40:38 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 2 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(Z,U,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
cnf(distributivity1,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ product(X,W,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(a_times_b,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_inverse_times_b,hypothesis,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
cnf(prove_sum_is_additive_identity,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
cnf(27,plain,
~ sum(add(c,d),additive_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,closure_of_addition,additive_identity1,prove_sum_is_additive_identity]) ).
cnf(46,plain,
sum(c,d,multiply(a,additive_identity)),
inference('HYPERRESOLVE',[status(thm)],[distributivity1,a_inverse_times_b,a_times_b,left_inverse,closure_of_multiplication]) ).
cnf(47,plain,
sum(c,multiply(a,additive_identity),c),
inference('HYPERRESOLVE',[status(thm)],[distributivity1,a_inverse_times_b,closure_of_multiplication,additive_identity1,a_inverse_times_b]) ).
cnf(117,plain,
~ sum(add(c,d),X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,27,left_inverse,left_inverse]) ).
cnf(119,plain,
multiply(a,additive_identity) = add(c,d),
inference('HYPERRESOLVE',[status(thm)],[addition_is_well_defined,46,closure_of_addition]) ).
cnf(120,plain,
$false,
inference('REWRITE',[status(thm)],[47,117,119,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 20:33:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T20:33:09
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T20:33:09
% 0.19/0.47
% 0.19/0.47 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.47 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.47 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.47 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.47 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.19/0.47 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.47 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.47 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.47 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.47 ; Declaring sum to be commutative.
% 0.19/0.47 ; Declaring add to be commutative.
% 0.19/0.56 ; Declaring add to be associative-commutative.
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 1233 formulas have been input or derived (from 27 formulas).
% 0.19/0.56 ; 120 (10%) were retained. Of these,
% 0.19/0.56 ; 12 (10%) were simplified or subsumed later,
% 0.19/0.56 ; 108 (90%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.005 5% Read assertion file (1 call)
% 0.19/0.56 ; 0.001 1% Assert (20 calls)
% 0.19/0.56 ; 0.015 14% Process new row (644 calls)
% 0.19/0.56 ; 0.044 42% Resolution (52 calls)
% 0.19/0.56 ; 0.001 1% Paramodulation (26 calls)
% 0.19/0.56 ; 0.000 0% Embedding (3 calls)
% 0.19/0.56 ; 0.001 1% Condensing (10 calls)
% 0.19/0.56 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.56 ; 0.001 1% Backward subsumption (9 calls)
% 0.19/0.56 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.56 ; 0.007 7% Forward simplification (608 calls)
% 0.19/0.56 ; 0.004 4% Backward simplification (119 calls)
% 0.19/0.56 ; 0.000 0% Ordering (24 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.025 24% Other
% 0.19/0.56 ; 0.104 Total
% 0.19/0.56 ; 0.106 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 238 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.56 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.19/0.56 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.19/0.56 ; Path-index has 228 entries (242 at peak, 243 added, 15 deleted).
% 0.19/0.56 ; Path-index has 316 nodes (316 at peak, 316 added, 0 deleted).
% 0.19/0.57 ; Trie-index has 228 entries (242 at peak, 243 added, 15 deleted).
% 0.19/0.57 ; Trie-index has 451 nodes (481 at peak, 483 added, 32 deleted).
% 0.19/0.57 ; Retrieved 1,401 generalization terms in 1,566 calls.
% 0.19/0.57 ; Retrieved 127 instance terms in 109 calls.
% 0.19/0.57 ; Retrieved 22,631 unifiable terms in 2,750 calls.
% 0.19/0.57 ;
% 0.19/0.57 ; The agenda of backward simplifiable rows to process has 9 entries:
% 0.19/0.57 ; 9 with value 0
% 0.19/0.57 ; The agenda of rows to process has 105 entries:
% 0.19/0.57 ; 18 with value 11 6 with value 13 31 with value 15
% 0.19/0.57 ; 28 with value 12 14 with value 14 8 with value 17
% 0.19/0.57 ; The agenda of rows to give has 83 entries:
% 0.19/0.57 ; 3 with value (4 9) 13 with value (4 12) 6 with value (4 15)
% 0.19/0.57 ; 9 with value (4 10) 15 with value (4 13) 10 with value (4 16)
% 0.19/0.57 ; 11 with value (4 11) 15 with value (4 14) 1 with value (4 17)
% 0.19/0.57 Evaluation took:
% 0.19/0.57 0.106 seconds of real time
% 0.19/0.57 0.096138 seconds of user run time
% 0.19/0.57 0.010356 seconds of system run time
% 0.19/0.57 0 calls to %EVAL
% 0.19/0.57 0 page faults and
% 0.19/0.57 5,524,080 bytes consed.
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T20:33:09
% 0.19/0.57 :PROOF-FOUND
% 0.19/0.57 *
%------------------------------------------------------------------------------