TSTP Solution File: RNG039-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG039-1 : 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 20:40:38 EDT 2022
% Result : Unsatisfiable 1.02s 1.21s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 9 RR)
% Number of literals : 24 ( 4 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(distributivity2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ sum(Z,V,X1)
| product(X,W,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(distributivity4,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,V)
| ~ sum(X,U,W)
| ~ sum(Z,V,X1)
| product(W,Y,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
cnf(absorbtion1,axiom,
sum(X,add(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion1) ).
cnf(clause33,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause34,axiom,
add(X,X) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause63,axiom,
product(a,add(b,a),add(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause71,axiom,
product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(b_times_a,negated_conjecture,
product(b,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a) ).
cnf(prove_c_equals_d,negated_conjecture,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(66,plain,
~ product(b,a,c),
inference('UR-RESOLVE',[status(thm)],[multiplication_is_well_defined,b_times_a,prove_c_equals_d]) ).
cnf(962,plain,
product(b,add(b,a),add(c,b)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[distributivity4,clause71,clause63,absorbtion1,closure_of_addition]),clause33,clause34,theory(equality)]) ).
cnf(1140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity2,66,clause71,absorbtion1,absorbtion1]),962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon May 30 11:13:27 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 *
% 0.16/0.42 *
% 0.16/0.43 #<PACKAGE "SNARK-USER">
% 0.16/0.43 *
% 0.16/0.43 SNARK-TPTP-OPTIONS
% 0.16/0.43 *
% 0.16/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.43 (USE-FACTORING :POS)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.43 *
% 0.16/0.43 "."
% 0.16/0.43 *
% 0.16/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:13:27
% 0.16/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T11:13:27
% 0.16/0.44
% 0.16/0.44 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.16/0.44 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.16/0.44 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.16/0.44 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.16/0.44 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.16/0.44 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.16/0.44 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.16/0.44 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.16/0.44 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.16/0.44 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.16/0.44 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.16/0.44 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.16/0.44 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.16/0.44 ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.16/0.44 ; Declaring sum to be commutative.
% 0.16/0.44 ; Declaring add to be commutative.
% 1.02/1.21 ; Declaring add to be associative-commutative.
% 1.02/1.21
% 1.02/1.21 #||
% 1.02/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/1.21 % SZS output start Refutation
% See solution above
% 1.02/1.21 ||#
% 1.02/1.21
% 1.02/1.21 ; Summary of computation:
% 1.02/1.21 ; 11946 formulas have been input or derived (from 61 formulas).
% 1.02/1.21 ; 1140 (10%) were retained. Of these,
% 1.02/1.21 ; 56 ( 5%) were simplified or subsumed later,
% 1.02/1.21 ; 1084 (95%) are still being kept.
% 1.02/1.21 ;
% 1.02/1.21 ; Run time in seconds excluding printing time:
% 1.02/1.21 ; 0.006 1% Read assertion file (1 call)
% 1.02/1.21 ; 0.001 0% Assert (60 calls)
% 1.02/1.21 ; 0.096 12% Process new row (8,551 calls)
% 1.02/1.21 ; 0.453 58% Resolution (120 calls)
% 1.02/1.21 ; 0.002 0% Paramodulation (60 calls)
% 1.02/1.21 ; 0.000 0% Embedding (7 calls)
% 1.02/1.21 ; 0.002 0% Condensing (10 calls)
% 1.02/1.21 ; 0.000 0% Forward subsumption (10 calls)
% 1.02/1.21 ; 0.000 0% Backward subsumption (9 calls)
% 1.02/1.21 ; 0.001 0% Clause clause subsumption (7 calls)
% 1.02/1.21 ; 0.137 17% Forward simplification (8,409 calls)
% 1.02/1.21 ; 0.016 2% Backward simplification (1,138 calls)
% 1.02/1.21 ; 0.021 3% Ordering (4,985 calls)
% 1.02/1.21 ; 0.001 0% Ordering ac (37 calls)
% 1.02/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.02/1.21 ; 0.000 0% Purity testing (1 call)
% 1.02/1.21 ; 0.048 6% Other
% 1.02/1.21 ; 0.784 Total
% 1.02/1.21 ; 0.786 Real time
% 1.02/1.21 ;
% 1.02/1.21 ; Term-hash-array has 1,792 terms in all.
% 1.02/1.21 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 1.02/1.21 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 1.02/1.21 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 1.02/1.21 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 1.02/1.21 ; Path-index has 1,735 entries (1,735 at peak, 1,803 added, 68 deleted).
% 1.02/1.21 ; Path-index has 983 nodes (983 at peak, 1,002 added, 19 deleted).
% 1.02/1.21 ; Trie-index has 1,735 entries (1,735 at peak, 1,803 added, 68 deleted).
% 1.02/1.21 ; Trie-index has 3,193 nodes (3,193 at peak, 3,335 added, 142 deleted).
% 1.02/1.21 ; Retrieved 59,236 generalization terms in 24,310 calls.
% 1.02/1.21 ; Retrieved 2,203 instance terms in 1,129 calls.
% 1.02/1.21 ; Retrieved 650,798 unifiable terms in 28,628 calls.
% 1.02/1.21 ;
% 1.02/1.21 ; The agenda of rows to process has 67 entries:
% 1.02/1.21 ; 19 with value 12 4 with value 15 10 with value 17
% 1.02/1.21 ; 18 with value 13 8 with value 16 8 with value 18
% 1.02/1.21 ; The agenda of rows to give has 1040 entries:
% 1.02/1.21 ; 11 with value (4 6) 73 with value (4 13) 63 with value (4 20)
% 1.02/1.21 ; 11 with value (4 7) 139 with value (4 14) 93 with value (4 21)
% 1.02/1.21 ; 10 with value (4 8) 26 with value (4 15) 1 with value (4 22)
% 1.02/1.21 ; 49 with value (4 9) 133 with value (4 16) 7 with value (4 23)
% 1.02/1.21 ; 25 with value (4 10) 88 with value (4 17) 13 with value (4 25)
% 1.02/1.21 ; 41 with value (4 11) 86 with value (4 18) 28 with value (4 26)
% 1.02/1.21 ; 86 with value (4 12) 57 with value (4 19)
% 1.02/1.21 Evaluation took:
% 1.02/1.21 0.786 seconds of real time
% 1.02/1.21 0.739703 seconds of user run time
% 1.05/1.21 0.046833 seconds of system run time
% 1.05/1.21 [Run times include 0.025 seconds GC run time.]
% 1.05/1.21 0 calls to %EVAL
% 1.05/1.21 0 page faults and
% 1.05/1.21 49,037,072 bytes consed.
% 1.05/1.21 :PROOF-FOUND
% 1.05/1.21 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:13:28
% 1.05/1.21 :PROOF-FOUND
% 1.05/1.21 *
%------------------------------------------------------------------------------