TSTP Solution File: RNG005-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 20:40:31 EDT 2022
% Result : Unsatisfiable 0.39s 0.58s
% Output : Refutation 0.39s
% 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/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
cnf(distributivity3,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,V)
| ~ sum(X,U,W)
| ~ product(W,Y,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(a_times_b,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_inverse_times_b,hypothesis,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).
cnf(prove_sum_is_additive_id,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_id) ).
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_id]) ).
cnf(68,plain,
sum(c,d,multiply(additive_identity,b)),
inference('HYPERRESOLVE',[status(thm)],[distributivity3,a_inverse_times_b,a_times_b,left_inverse,closure_of_multiplication]) ).
cnf(69,plain,
sum(c,multiply(additive_identity,b),c),
inference('HYPERRESOLVE',[status(thm)],[distributivity3,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(142,plain,
multiply(additive_identity,b) = add(c,d),
inference('HYPERRESOLVE',[status(thm)],[addition_is_well_defined,68,closure_of_addition]) ).
cnf(143,plain,
$false,
inference('REWRITE',[status(thm)],[69,117,142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 06:04:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T06:04:40
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T06:04:40
% 0.18/0.48
% 0.18/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.18/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.18/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.18/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.18/0.48 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.18/0.48 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.18/0.48 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.18/0.48 ; Declaring sum to be commutative.
% 0.18/0.48 ; Declaring add to be commutative.
% 0.39/0.58 ; Declaring add to be associative-commutative.
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 1484 formulas have been input or derived (from 28 formulas).
% 0.39/0.58 ; 143 (10%) were retained. Of these,
% 0.39/0.58 ; 13 ( 9%) were simplified or subsumed later,
% 0.39/0.58 ; 130 (91%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds excluding printing time:
% 0.39/0.58 ; 0.004 4% Read assertion file (1 call)
% 0.39/0.58 ; 0.002 2% Assert (20 calls)
% 0.39/0.58 ; 0.012 11% Process new row (761 calls)
% 0.39/0.58 ; 0.051 45% Resolution (54 calls)
% 0.39/0.58 ; 0.001 1% Paramodulation (27 calls)
% 0.39/0.58 ; 0.000 0% Embedding (4 calls)
% 0.39/0.58 ; 0.002 2% Condensing (10 calls)
% 0.39/0.58 ; 0.000 0% Forward subsumption (10 calls)
% 0.39/0.58 ; 0.000 0% Backward subsumption (9 calls)
% 0.39/0.58 ; 0.001 1% Clause clause subsumption (7 calls)
% 0.39/0.58 ; 0.013 11% Forward simplification (724 calls)
% 0.39/0.58 ; 0.000 0% Backward simplification (141 calls)
% 0.39/0.58 ; 0.000 0% Ordering (26 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.028 25% Other
% 0.39/0.58 ; 0.114 Total
% 0.39/0.58 ; 0.116 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 272 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.39/0.58 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.39/0.58 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.39/0.58 ; Path-index has 261 entries (275 at peak, 277 added, 16 deleted).
% 0.39/0.58 ; Path-index has 391 nodes (391 at peak, 391 added, 0 deleted).
% 0.39/0.58 ; Trie-index has 261 entries (275 at peak, 277 added, 16 deleted).
% 0.39/0.58 ; Trie-index has 532 nodes (562 at peak, 564 added, 32 deleted).
% 0.39/0.58 ; Retrieved 1,767 generalization terms in 1,887 calls.
% 0.39/0.58 ; Retrieved 150 instance terms in 131 calls.
% 0.39/0.58 ; Retrieved 27,521 unifiable terms in 3,217 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of backward simplifiable rows to process has 9 entries:
% 0.39/0.58 ; 9 with value 0
% 0.39/0.58 ; The agenda of rows to process has 119 entries:
% 0.39/0.58 ; 18 with value 11 6 with value 13 36 with value 15
% 0.39/0.58 ; 29 with value 12 22 with value 14 8 with value 17
% 0.39/0.58 ; The agenda of rows to give has 104 entries:
% 0.39/0.58 ; 2 with value (4 9) 18 with value (4 13) 10 with value (4 16)
% 0.39/0.58 ; 10 with value (4 10) 17 with value (4 14) 3 with value (4 17)
% 0.39/0.58 ; 15 with value (4 11) 9 with value (4 15) 2 with value (4 18)
% 0.39/0.58 ; 18 with value (4 12)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.116 seconds of real time
% 0.39/0.58 0.109634 seconds of user run time
% 0.39/0.58 0.00715 seconds of system run time
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 6,109,408 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T06:04:40
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------