TSTP Solution File: ROB021-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ROB021-1 : 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 20:56:02 EDT 2022
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(negative_equality_implies_positive_equality,hypothesis,
( negate(X) != negate(Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative_equality_implies_positive_equality) ).
cnf(prove_huntingtons_axiom,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
cnf(4,plain,
add(negate(add(negate(X),Y)),negate(add(negate(X),negate(Y)))) = X,
inference('HYPERRESOLVE',[status(thm)],[negative_equality_implies_positive_equality,robbins_axiom]) ).
cnf(6,plain,
$false,
inference('REWRITE',[status(thm)],[prove_huntingtons_axiom,4,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ROB021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 15:16:08 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T15:16:08
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-09T15:16:08
% 0.17/0.46
% 0.17/0.46 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.17/0.46 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.17/0.46 ; Declaring add to be commutative.
% 0.17/0.48 ; Declaring add to be associative-commutative.
% 0.17/0.48
% 0.17/0.48 #||
% 0.17/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % SZS output start Refutation
% See solution above
% 0.17/0.48 ||#
% 0.17/0.48
% 0.17/0.48 ; Summary of computation:
% 0.17/0.48 ; 23 formulas have been input or derived (from 3 formulas).
% 0.17/0.48 ; 6 (26%) were retained. Of these,
% 0.17/0.48 ; 1 (17%) were simplified or subsumed later,
% 0.17/0.48 ; 5 (83%) are still being kept.
% 0.17/0.48 ;
% 0.17/0.48 ; Run time in seconds excluding printing time:
% 0.17/0.48 ; 0.002 8% Read assertion file (1 call)
% 0.17/0.48 ; 0.000 0% Assert (5 calls)
% 0.17/0.48 ; 0.001 4% Process new row (12 calls)
% 0.17/0.48 ; 0.000 0% Resolution (4 calls)
% 0.17/0.48 ; 0.001 4% Paramodulation (2 calls)
% 0.17/0.48 ; 0.000 0% Embedding (1 call)
% 0.17/0.48 ; 0.000 0% Condensing (1 call)
% 0.17/0.48 ; 0.000 0% Forward subsumption (1 call)
% 0.17/0.48 ; 0.000 0% Backward subsumption (1 call)
% 0.17/0.48 ; 0.001 4% Forward simplification (11 calls)
% 0.17/0.48 ; 0.000 0% Backward simplification (5 calls)
% 0.17/0.48 ; 0.000 0% Ordering (14 calls)
% 0.17/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.48 ; 0.000 0% Purity testing (1 call)
% 0.17/0.48 ; 0.021 81% Other
% 0.17/0.48 ; 0.026 Total
% 0.17/0.48 ; 0.028 Real time
% 0.17/0.48 ;
% 0.17/0.48 ; Term-hash-array has 28 terms in all.
% 0.17/0.48 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.17/0.48 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.17/0.48 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.17/0.48 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.17/0.48 ; Path-index has 21 entries (27 at peak, 31 added, 10 deleted).
% 0.17/0.48 ; Path-index has 37 nodes (52 at peak, 54 added, 17 deleted).
% 0.17/0.48 ; Trie-index has 21 entries (27 at peak, 31 added, 10 deleted).
% 0.17/0.48 ; Trie-index has 18 nodes (21 at peak, 23 added, 5 deleted).
% 0.17/0.48 ; Retrieved 4 generalization terms in 12 calls.
% 0.17/0.48 ; Retrieved 5 instance terms in 3 calls.
% 0.17/0.48 ; Retrieved 21 unifiable terms in 18 calls.
% 0.17/0.48 ;
% 0.17/0.48 ; The agenda of rows to process has 10 entries:
% 0.17/0.48 ; 3 with value 20 1 with value 26 3 with value 30
% 0.17/0.48 ; 2 with value 24 1 with value 28
% 0.17/0.48 ; The agenda of rows to give has 2 entries:
% 0.17/0.48 ; 2 with value (4 20)
% 0.17/0.48 Evaluation took:
% 0.17/0.48 0.028 seconds of real time
% 0.17/0.48 0.022656 seconds of user run time
% 0.17/0.48 0.005683 seconds of system run time
% 0.17/0.48 0 calls to %EVAL
% 0.17/0.48 0 page faults and
% 0.17/0.48 1,616,976 bytes consed.
% 0.17/0.48 :PROOF-FOUND
% 0.17/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T15:16:08
% 0.17/0.48 :PROOF-FOUND
% 0.17/0.48 *
%------------------------------------------------------------------------------