TSTP Solution File: ALG204+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Thu Jul 14 18:00:10 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 25 ( 19 unt; 6 nHn; 25 RR)
% Number of literals : 46 ( 45 equ; 7 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(6,axiom,
e10 != e16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
e11 != e15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e11 != e16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(13,axiom,
e12 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(14,axiom,
e12 != e15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(16,axiom,
e13 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(92,axiom,
op1(e10,e10) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(100,axiom,
op1(e11,e11) = e16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(108,axiom,
op1(e12,e12) = e15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(116,axiom,
op1(e13,e13) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(124,axiom,
op1(e14,e14) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(132,axiom,
op1(e15,e15) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(140,axiom,
op1(e16,e16) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(141,axiom,
op2(e20,e20) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(197,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(302,negated_conjecture,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(303,plain,
j(e20) = op1(j(e20),j(e20)),
inference('REWRITE',[status(thm)],[302,141,theory(equality)]) ).
cnf(513,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,197,theory(equality)]),6,140,theory(equality)]) ).
cnf(527,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,513,theory(equality)]),10,132,theory(equality)]) ).
cnf(529,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,527,theory(equality)]),13,124,theory(equality)]) ).
cnf(531,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,529,theory(equality)]),16,116,theory(equality)]) ).
cnf(533,plain,
( j(e20) = e10
| j(e20) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,531,theory(equality)]),14,108,theory(equality)]) ).
cnf(535,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,533,theory(equality)]),11,100,theory(equality)]) ).
cnf(536,plain,
$false,
inference('REWRITE',[status(thm)],[303,3,92,535,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 06:17:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:17:35
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T06:17:35
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 930 formulas have been input or derived (from 321 formulas).
% 0.40/0.62 ; 536 (58%) were retained. Of these,
% 0.40/0.62 ; 142 (26%) were simplified or subsumed later,
% 0.40/0.62 ; 394 (74%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.026 16% Read assertion file (1 call)
% 0.40/0.62 ; 0.031 19% Assert (6 calls)
% 0.40/0.62 ; 0.035 21% Process new row (798 calls)
% 0.40/0.62 ; 0.003 2% Resolution (640 calls)
% 0.40/0.62 ; 0.013 8% Paramodulation (320 calls)
% 0.40/0.62 ; 0.000 0% Factoring (19 calls)
% 0.40/0.62 ; 0.000 0% Condensing (135 calls)
% 0.40/0.62 ; 0.010 6% Forward subsumption (135 calls)
% 0.40/0.62 ; 0.003 2% Backward subsumption (135 calls)
% 0.40/0.62 ; 0.001 1% Clause clause subsumption (106 calls)
% 0.40/0.62 ; 0.011 7% Forward simplification (655 calls)
% 0.40/0.62 ; 0.003 2% Backward simplification (438 calls)
% 0.40/0.62 ; 0.005 3% Ordering (2,752 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.024 15% Other
% 0.40/0.62 ; 0.165 Total
% 0.40/0.62 ; 0.167 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 721 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 111 entries (113 at peak, 135 added, 24 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 771 nodes (797 at peak, 1,021 added, 250 deleted).
% 0.40/0.62 ; Retrieved 46 possibly forward subsuming rows in 135 calls.
% 0.40/0.62 ; Retrieved 64 possibly backward subsumed rows in 135 calls.
% 0.40/0.62 ; Path-index has 684 entries (735 at peak, 785 added, 101 deleted).
% 0.40/0.62 ; Path-index has 220 nodes (226 at peak, 226 added, 6 deleted).
% 0.40/0.62 ; Trie-index has 684 entries (735 at peak, 785 added, 101 deleted).
% 0.40/0.62 ; Trie-index has 1,103 nodes (1,197 at peak, 1,247 added, 144 deleted).
% 0.40/0.62 ; Retrieved 173 generalization terms in 2,116 calls.
% 0.40/0.62 ; Retrieved 302 instance terms in 302 calls.
% 0.40/0.62 ; Retrieved 229 unifiable terms in 1,964 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of backward simplifiable rows to process has 21 entries:
% 0.40/0.62 ; 21 with value 0
% 0.40/0.62 ; The agenda of rows to process has 13 entries:
% 0.40/0.62 ; 1 with value 20 12 with value 22
% 0.40/0.62 ; The agenda of rows to give has 105 entries:
% 0.40/0.62 ; 1 with value (4 12) 14 with value (4 43) 70 with value (4 47)
% 0.40/0.62 ; 6 with value (4 37) 14 with value (4 46)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.167 seconds of real time
% 0.40/0.62 0.146711 seconds of user run time
% 0.40/0.62 0.020867 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 10,335,592 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:17:35
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------