TSTP Solution File: ROB003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 20:55:57 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(there_exists_a_constant,hypothesis,
add(X,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_exists_a_constant) ).
cnf(prove_huntingtons_axiom,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
cnf(5,plain,
negate(add(negate(c),negate(c))) = c,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,there_exists_a_constant,theory(equality)]),there_exists_a_constant,theory(equality)]) ).
cnf(6,plain,
negate(add(negate(c),negate(add(X,negate(c))))) = X,
inference('PARAMODULATE',[status(thm)],[robbins_axiom,there_exists_a_constant,theory(equality)]) ).
cnf(12,plain,
add(X,negate(c)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,5,theory(equality)]),6,there_exists_a_constant,theory(equality)]) ).
cnf(13,plain,
negate(negate(X)) = X,
inference('REWRITE',[status(thm)],[6,12,theory(equality)]) ).
cnf(14,plain,
negate(X) = add(negate(add(X,Y)),negate(add(X,negate(Y)))),
inference('PARAMODULATE',[status(thm)],[13,robbins_axiom,theory(equality)]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[prove_huntingtons_axiom,13,14,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 12:38:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 *
% 0.18/0.42 *
% 0.18/0.43 #<PACKAGE "SNARK-USER">
% 0.18/0.43 *
% 0.18/0.43 SNARK-TPTP-OPTIONS
% 0.18/0.43 *
% 0.18/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.43 (USE-FACTORING :POS)
% 0.18/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.43 *
% 0.18/0.43 "."
% 0.18/0.43 *
% 0.18/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:38:19
% 0.18/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-09T12:38:19
% 0.18/0.44
% 0.18/0.44 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.44 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.18/0.44 ; Declaring add to be commutative.
% 0.18/0.46 ; Declaring add to be associative-commutative.
% 0.18/0.46
% 0.18/0.46 #||
% 0.18/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.47 ||#
% 0.18/0.47
% 0.18/0.47 ; Summary of computation:
% 0.18/0.47 ; 60 formulas have been input or derived (from 7 formulas).
% 0.18/0.47 ; 16 (27%) were retained. Of these,
% 0.18/0.47 ; 7 (44%) were simplified or subsumed later,
% 0.18/0.47 ; 9 (56%) are still being kept.
% 0.18/0.47 ;
% 0.18/0.47 ; Run time in seconds excluding printing time:
% 0.18/0.47 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.47 ; 0.000 0% Assert (5 calls)
% 0.18/0.47 ; 0.004 12% Process new row (58 calls)
% 0.18/0.47 ; 0.000 0% Resolution (12 calls)
% 0.18/0.47 ; 0.002 6% Paramodulation (6 calls)
% 0.18/0.47 ; 0.000 0% Embedding (3 calls)
% 0.18/0.47 ; 0.002 6% Forward simplification (56 calls)
% 0.18/0.47 ; 0.001 3% Backward simplification (14 calls)
% 0.18/0.47 ; 0.000 0% Ordering (64 calls)
% 0.18/0.47 ; 0.000 0% Ordering ac (9 calls)
% 0.18/0.47 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.47 ; 0.000 0% Purity testing (1 call)
% 0.18/0.47 ; 0.022 67% Other
% 0.18/0.47 ; 0.033 Total
% 0.18/0.47 ; 0.035 Real time
% 0.18/0.47 ;
% 0.18/0.47 ; Term-hash-array has 70 terms in all.
% 0.18/0.47 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.47 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.47 ; Path-index has 33 entries (66 at peak, 74 added, 41 deleted).
% 0.18/0.47 ; Path-index has 80 nodes (106 at peak, 114 added, 34 deleted).
% 0.18/0.47 ; Trie-index has 33 entries (66 at peak, 74 added, 41 deleted).
% 0.18/0.47 ; Trie-index has 24 nodes (29 at peak, 32 added, 8 deleted).
% 0.18/0.47 ; Retrieved 481 generalization terms in 375 calls.
% 0.18/0.47 ; Retrieved 24 instance terms in 13 calls.
% 0.18/0.47 ; Retrieved 70 unifiable terms in 43 calls.
% 0.18/0.47 ;
% 0.18/0.47 ; The agenda of rows to process has 1 entry:
% 0.18/0.47 ; 1 with value 21
% 0.18/0.47 ; The agenda of rows to give has 5 entries:
% 0.18/0.47 ; 1 with value (4 11) 1 with value (4 26) 1 with value (4 28)
% 0.18/0.47 ; 2 with value (4 20)
% 0.18/0.47 Evaluation took:
% 0.18/0.47 0.035 seconds of real time
% 0.18/0.47 0.026985 seconds of user run time
% 0.18/0.47 0.008238 seconds of system run time
% 0.18/0.47 0 calls to %EVAL
% 0.18/0.47 0 page faults and
% 0.18/0.47 2,190,392 bytes consed.
% 0.18/0.47 :PROOF-FOUND
% 0.18/0.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:38:19
% 0.18/0.47 :PROOF-FOUND
% 0.18/0.47 *
%------------------------------------------------------------------------------