%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(product_lemma1,axiom,
( ~ product(X,Y,Z)
| product(X,additive_inverse(Y),additive_inverse(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_lemma1) ).
cnf(b_plus_inverse_c,hypothesis,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_inverse_c) ).
cnf(a_times_b,hypothesis,
product(a,b,aPb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_times_c,hypothesis,
product(a,c,aPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c) ).
cnf(aPb_plus_IaPc,hypothesis,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
cnf(prove_a_times_bS_Ic_is_aPb_S__IaPc,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
cnf(22,plain,
product(a,additive_inverse(c),additive_inverse(aPc)),
inference('HYPERRESOLVE',[status(thm)],[product_lemma1,a_times_c]) ).
cnf(91,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity2,a_times_b,b_plus_inverse_c,aPb_plus_IaPc,prove_a_times_bS_Ic_is_aPb_S__IaPc]),22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 06:32:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T06:32:27
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T06:32:27
% 0.20/0.49
% 0.20/0.49 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.20/0.49 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.20/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.49 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.20/0.49 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.20/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Declaring sum to be commutative.
% 0.20/0.49 ; Declaring add to be commutative.
% 0.20/0.56 ; Declaring add to be associative-commutative.
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 950 formulas have been input or derived (from 20 formulas).
% 0.20/0.56 ; 91 (10%) were retained. Of these,
% 0.20/0.56 ; 91 (100%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds:
% 0.20/0.56 ; 0.005 6% Read assertion file (1 call)
% 0.20/0.56 ; 0.002 2% Assert (25 calls)
% 0.20/0.56 ; 0.010 12% Process new row (558 calls)
% 0.20/0.56 ; 0.025 30% Resolution (38 calls)
% 0.20/0.56 ; 0.000 0% Paramodulation (19 calls)
% 0.20/0.56 ; 0.000 0% Embedding (4 calls)
% 0.20/0.56 ; 0.003 4% Condensing (13 calls)
% 0.20/0.56 ; 0.000 0% Forward subsumption (13 calls)
% 0.20/0.56 ; 0.000 0% Backward subsumption (12 calls)
% 0.20/0.56 ; 0.001 1% Clause clause subsumption (13 calls)
% 0.20/0.56 ; 0.010 12% Forward simplification (555 calls)
% 0.20/0.56 ; 0.001 1% Backward simplification (88 calls)
% 0.20/0.56 ; 0.000 0% Ordering (13 calls)
% 0.20/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.000 0% Purity testing (1 call)
% 0.20/0.56 ; 0.025 30% Other
% 0.20/0.56 ; 0.083 Total
% 0.20/0.56 ; 0.084 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 183 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 0.20/0.56 ; Retrieved 7 possibly forward subsuming rows in 13 calls.
% 0.20/0.56 ; Retrieved 6 possibly backward subsumed rows in 12 calls.
% 0.20/0.56 ; Path-index has 191 entries (191 at peak, 191 added, 0 deleted).
% 0.20/0.56 ; Path-index has 274 nodes (274 at peak, 274 added, 0 deleted).
% 0.20/0.56 ; Trie-index has 191 entries (191 at peak, 191 added, 0 deleted).
% 0.20/0.56 ; Trie-index has 372 nodes (372 at peak, 372 added, 0 deleted).
% 0.20/0.56 ; Retrieved 1,802 generalization terms in 1,336 calls.
% 0.20/0.56 ; Retrieved 85 instance terms in 75 calls.
% 0.20/0.56 ; Retrieved 14,070 unifiable terms in 1,741 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 56 entries:
% 0.20/0.56 ; 9 with value 11 1 with value 13 8 with value 16
% 0.20/0.56 ; 8 with value 12 30 with value 14
% 0.20/0.56 ; The agenda of input rows to give has 2 entries:
% 0.20/0.56 ; 2 with value 25
% 0.20/0.56 ; The agenda of rows to give has 69 entries:
% 0.20/0.56 ; 2 with value (4 6) 11 with value (4 10) 5 with value (4 14)
% 0.20/0.56 ; 1 with value (4 7) 6 with value (4 11) 3 with value (4 15)
% 0.20/0.56 ; 3 with value (4 8) 17 with value (4 12) 1 with value (4 16)
% 0.20/0.56 ; 12 with value (4 9) 8 with value (4 13)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.085 seconds of real time
% 0.20/0.56 0.070181 seconds of user run time
% 0.20/0.56 0.014726 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 4,217,448 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T06:32:27
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------