TSTP Solution File: RNG003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 2 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
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(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_plus_c_is_d,hypothesis,
sum(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_c_is_d) ).
cnf(b_plus_c_is_d,hypothesis,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c_is_d) ).
cnf(prove_a_equals_b,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_b) ).
cnf(17,plain,
~ sum(additive_identity,b,a),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_identity1,prove_a_equals_b]) ).
cnf(28,plain,
sum(additive_inverse(c),d,a),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_addition1,left_inverse,a_plus_c_is_d,additive_identity1]) ).
cnf(73,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,17,b_plus_c_is_d,left_inverse]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon May 30 07:59:27 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 *
% 0.13/0.37 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:59:27
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T07:59:27
% 0.13/0.39
% 0.13/0.39 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.13/0.39 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.13/0.39 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.13/0.39 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.13/0.39 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.13/0.39 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.13/0.39 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.13/0.39 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.13/0.39 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.13/0.39 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.13/0.39 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.13/0.39 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.13/0.39 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.13/0.39 ; Declaring sum to be commutative.
% 0.13/0.39 ; Declaring add to be commutative.
% 0.13/0.42 ; Declaring add to be associative-commutative.
% 0.13/0.42
% 0.13/0.42 #||
% 0.13/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 % SZS output start Refutation
% See solution above
% 0.13/0.42 ||#
% 0.13/0.42
% 0.13/0.42 ; Summary of computation:
% 0.13/0.42 ; 803 formulas have been input or derived (from 18 formulas).
% 0.13/0.42 ; 73 ( 9%) were retained. Of these,
% 0.13/0.42 ; 73 (100%) are still being kept.
% 0.13/0.42 ;
% 0.13/0.42 ; Run time in seconds excluding printing time:
% 0.13/0.42 ; 0.003 7% Read assertion file (1 call)
% 0.13/0.42 ; 0.001 2% Assert (20 calls)
% 0.13/0.42 ; 0.004 9% Process new row (487 calls)
% 0.13/0.42 ; 0.013 30% Resolution (34 calls)
% 0.13/0.42 ; 0.000 0% Paramodulation (17 calls)
% 0.13/0.42 ; 0.000 0% Embedding (4 calls)
% 0.13/0.42 ; 0.000 0% Condensing (10 calls)
% 0.13/0.42 ; 0.000 0% Forward subsumption (10 calls)
% 0.13/0.42 ; 0.000 0% Backward subsumption (9 calls)
% 0.13/0.42 ; 0.002 5% Clause clause subsumption (7 calls)
% 0.13/0.42 ; 0.006 14% Forward simplification (484 calls)
% 0.13/0.42 ; 0.002 5% Backward simplification (70 calls)
% 0.13/0.42 ; 0.000 0% Ordering (11 calls)
% 0.13/0.42 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.42 ; 0.000 0% Purity testing (1 call)
% 0.13/0.42 ; 0.013 30% Other
% 0.13/0.42 ; 0.044 Total
% 0.13/0.42 ; 0.046 Real time
% 0.13/0.42 ;
% 0.13/0.42 ; Term-hash-array has 148 terms in all.
% 0.13/0.42 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.13/0.42 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.13/0.42 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.13/0.42 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.13/0.42 ; Path-index has 153 entries (153 at peak, 153 added, 0 deleted).
% 0.13/0.42 ; Path-index has 231 nodes (231 at peak, 231 added, 0 deleted).
% 0.13/0.42 ; Trie-index has 153 entries (153 at peak, 153 added, 0 deleted).
% 0.13/0.42 ; Trie-index has 243 nodes (243 at peak, 243 added, 0 deleted).
% 0.13/0.42 ; Retrieved 1,491 generalization terms in 1,131 calls.
% 0.13/0.42 ; Retrieved 64 instance terms in 60 calls.
% 0.13/0.42 ; Retrieved 11,182 unifiable terms in 1,451 calls.
% 0.13/0.42 ;
% 0.13/0.42 ; The agenda of rows to process has 9 entries:
% 0.13/0.42 ; 2 with value 9 2 with value 11 1 with value 12
% 0.13/0.42 ; 4 with value 10
% 0.13/0.42 ; The agenda of rows to give has 55 entries:
% 0.13/0.42 ; 1 with value (4 6) 5 with value (4 10) 9 with value (4 14)
% 0.13/0.42 ; 1 with value (4 7) 13 with value (4 11) 2 with value (4 15)
% 0.13/0.42 ; 9 with value (4 8) 6 with value (4 13) 6 with value (4 16)
% 0.13/0.42 ; 3 with value (4 9)
% 0.13/0.42 Evaluation took:
% 0.13/0.42 0.046 seconds of real time
% 0.13/0.42 0.038497 seconds of user run time
% 0.13/0.42 0.007328 seconds of system run time
% 0.13/0.42 0 calls to %EVAL
% 0.13/0.42 0 page faults and
% 0.13/0.42 3,852,728 bytes consed.
% 0.13/0.42 :PROOF-FOUND
% 0.13/0.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:59:27
% 0.13/0.43 :PROOF-FOUND
% 0.13/0.43 *
%------------------------------------------------------------------------------