TSTP Solution File: ROB022-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 7 RR)
% Number of literals : 17 ( 16 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 12 ( 0 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(condition,hypothesis,
add(c,negate(c)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(3,plain,
add(c,add(negate(c),X)) = add(c,X),
inference('EMBED',[status(thm)],[condition]) ).
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(add(c,c)),negate(c))) = c,
inference('PARAMODULATE',[status(thm)],[robbins_axiom,condition,theory(equality)]) ).
cnf(13,plain,
negate(add(negate(add(c,X)),negate(add(X,add(negate(c),negate(c)))))) = add(X,negate(c)),
inference('PARAMODULATE',[status(thm)],[robbins_axiom,3,theory(equality)]) ).
cnf(20,plain,
negate(add(negate(add(c,c)),c)) = negate(c),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,5,theory(equality)]),condition,theory(equality)]) ).
cnf(21,plain,
negate(c) = negate(add(c,c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,5,theory(equality)]),condition,20,theory(equality)]) ).
cnf(22,plain,
negate(add(negate(c),negate(c))) = c,
inference('REWRITE',[status(thm)],[5,21,theory(equality)]) ).
cnf(25,plain,
add(X,negate(c)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,22,theory(equality)]),13,theory(equality)]) ).
cnf(28,plain,
negate(add(negate(add(c,X)),negate(X))) = X,
inference('REWRITE',[status(thm)],[13,25,theory(equality)]) ).
cnf(31,plain,
negate(add(negate(X),negate(negate(X)))) = negate(c),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,25,theory(equality)]),25,theory(equality)]) ).
cnf(40,plain,
negate(add(X,negate(X))) = negate(c),
inference('PARAMODULATE',[status(thm)],[31,28,theory(equality)]) ).
cnf(43,plain,
negate(negate(add(X,negate(negate(X))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,40,theory(equality)]),25,theory(equality)]) ).
cnf(44,plain,
X = negate(negate(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[robbins_axiom,40,theory(equality)]),43,25,theory(equality)]) ).
cnf(68,plain,
add(negate(add(X,Y)),negate(add(X,negate(Y)))) = negate(X),
inference('PARAMODULATE',[status(thm)],[44,robbins_axiom,theory(equality)]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[prove_huntingtons_axiom,44,68,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 14:05:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T14:05:40
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-09T14:05:40
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.18/0.47 ; Recognized associativity assertion (= (|add| (|add| ?X ?Y) ?Z) (|add| ?X (|add| ?Y ?Z))).
% 0.18/0.47 ; Declaring add to be commutative.
% 0.18/0.54 ; Declaring add to be associative-commutative.
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 205 formulas have been input or derived (from 16 formulas).
% 0.18/0.54 ; 71 (35%) were retained. Of these,
% 0.18/0.54 ; 49 (69%) were simplified or subsumed later,
% 0.18/0.54 ; 22 (31%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.002 3% Read assertion file (1 call)
% 0.18/0.54 ; 0.001 1% Assert (5 calls)
% 0.18/0.54 ; 0.007 10% Process new row (200 calls)
% 0.18/0.54 ; 0.001 1% Resolution (30 calls)
% 0.18/0.54 ; 0.005 7% Paramodulation (15 calls)
% 0.18/0.54 ; 0.001 1% Embedding (23 calls)
% 0.18/0.54 ; 0.022 31% Forward simplification (179 calls)
% 0.18/0.54 ; 0.010 14% Backward simplification (62 calls)
% 0.18/0.54 ; 0.000 0% Ordering (240 calls)
% 0.18/0.54 ; 0.000 0% Ordering ac (49 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.021 30% Other
% 0.18/0.54 ; 0.070 Total
% 0.18/0.54 ; 0.077 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 277 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.54 ; Path-index has 77 entries (128 at peak, 289 added, 212 deleted).
% 0.18/0.54 ; Path-index has 93 nodes (145 at peak, 183 added, 90 deleted).
% 0.18/0.54 ; Trie-index has 77 entries (128 at peak, 289 added, 212 deleted).
% 0.18/0.54 ; Trie-index has 30 nodes (40 at peak, 55 added, 25 deleted).
% 0.18/0.54 ; Retrieved 5,196 generalization terms in 1,288 calls.
% 0.37/0.54 ; Retrieved 348 instance terms in 61 calls.
% 0.37/0.54 ; Retrieved 372 unifiable terms in 101 calls.
% 0.37/0.54 ;
% 0.37/0.54 ; The agenda of rows to process has 1 entry:
% 0.37/0.54 ; 1 with value 25
% 0.37/0.54 ; The agenda of rows to give has 17 entries:
% 0.37/0.54 ; 2 with value (4 15) 1 with value (4 23) 2 with value (4 27)
% 0.37/0.54 ; 2 with value (4 16) 2 with value (4 24) 1 with value (4 28)
% 0.37/0.54 ; 1 with value (4 19) 3 with value (4 25) 1 with value (4 34)
% 0.37/0.54 ; 2 with value (4 22)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.077 seconds of real time
% 0.37/0.54 0.065 seconds of user run time
% 0.37/0.54 0.008094 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 4,634,920 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T14:05:40
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------