%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG075+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 17:59:48 EDT 2022
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of clauses : 52 ( 43 unt; 9 nHn; 52 RR)
% Number of literals : 76 ( 75 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(2,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
e10 != e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(13,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(52,axiom,
op1(e11,e11) = e14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(58,axiom,
op1(e12,e12) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(64,axiom,
op1(e13,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
op1(e14,e14) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(73,axiom,
op2(e20,e22) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,e21) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(78,axiom,
op2(e21,e22) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(83,axiom,
op2(e22,e22) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(88,axiom,
op2(e23,e22) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
op2(e23,e23) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(95,axiom,
op2(e24,e24) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(96,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(102,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(106,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(107,plain,
h(e10) = op2(h(e10),h(e10)),
inference('REWRITE',[status(thm)],[106,46,theory(equality)]) ).
cnf(160,negated_conjecture,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(161,plain,
j(e22) = op1(j(e20),j(e22)),
inference('REWRITE',[status(thm)],[160,73,theory(equality)]) ).
cnf(168,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(169,plain,
j(e20) = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).
cnf(170,negated_conjecture,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(171,plain,
j(e23) = op1(j(e21),j(e22)),
inference('REWRITE',[status(thm)],[170,78,theory(equality)]) ).
cnf(180,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(181,plain,
j(e20) = op1(j(e22),j(e22)),
inference('REWRITE',[status(thm)],[180,83,theory(equality)]) ).
cnf(190,negated_conjecture,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(191,plain,
j(e24) = op1(j(e23),j(e22)),
inference('REWRITE',[status(thm)],[190,88,theory(equality)]) ).
cnf(210,negated_conjecture,
h(j(e24)) = e24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(211,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(217,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,96,theory(equality)]),14,95,theory(equality)]) ).
cnf(261,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e20) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,102,theory(equality)]),70,theory(equality)]) ).
cnf(301,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,217,theory(equality)]),13,89,theory(equality)]) ).
cnf(303,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,301,theory(equality)]),12,83,theory(equality)]) ).
cnf(305,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[107,303,theory(equality)]),11,77,theory(equality)]) ).
cnf(318,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,305,theory(equality)]) ).
cnf(320,plain,
j(e22) = op1(e10,j(e22)),
inference('REWRITE',[status(thm)],[161,318,theory(equality)]) ).
cnf(324,plain,
e10 = op1(j(e21),j(e21)),
inference('REWRITE',[status(thm)],[169,318,theory(equality)]) ).
cnf(326,plain,
e10 = op1(j(e22),j(e22)),
inference('REWRITE',[status(thm)],[181,318,theory(equality)]) ).
cnf(331,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference('REWRITE',[status(thm)],[261,2,318,theory(equality)]) ).
cnf(344,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[324,331,theory(equality)]),1,64,theory(equality)]) ).
cnf(346,plain,
( j(e21) = e10
| j(e21) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[324,344,theory(equality)]),3,58,theory(equality)]) ).
cnf(348,plain,
j(e21) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[324,346,theory(equality)]),4,52,theory(equality)]) ).
cnf(349,plain,
j(e23) = j(e22),
inference('REWRITE',[status(thm)],[171,320,348,theory(equality)]) ).
cnf(351,plain,
j(e24) = e10,
inference('REWRITE',[status(thm)],[191,326,349,theory(equality)]) ).
cnf(352,plain,
$false,
inference('REWRITE',[status(thm)],[210,14,305,351,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG075+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Wed Jun 8 18:11:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T18:11:35
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T18:11:35
% 0.44/0.61
% 0.44/0.61
% 0.44/0.61 #||
% 0.44/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.61 % SZS output start Refutation
% See solution above
% 0.44/0.61 ||#
% 0.44/0.61
% 0.44/0.61 ; Summary of computation:
% 0.44/0.61 ; 635 formulas have been input or derived (from 198 formulas).
% 0.44/0.61 ; 352 (55%) were retained. Of these,
% 0.44/0.61 ; 186 (53%) were simplified or subsumed later,
% 0.44/0.61 ; 166 (47%) are still being kept.
% 0.44/0.61 ;
% 0.44/0.61 ; Run time in seconds excluding printing time:
% 0.44/0.61 ; 0.014 10% Read assertion file (1 call)
% 0.44/0.61 ; 0.012 9% Assert (6 calls)
% 0.44/0.61 ; 0.028 21% Process new row (547 calls)
% 0.44/0.61 ; 0.004 3% Resolution (394 calls)
% 0.44/0.61 ; 0.007 5% Paramodulation (197 calls)
% 0.44/0.61 ; 0.000 0% Factoring (16 calls)
% 0.44/0.61 ; 0.000 0% Condensing (124 calls)
% 0.44/0.61 ; 0.007 5% Forward subsumption (124 calls)
% 0.44/0.61 ; 0.011 8% Backward subsumption (116 calls)
% 0.44/0.61 ; 0.001 1% Clause clause subsumption (104 calls)
% 0.44/0.61 ; 0.015 11% Forward simplification (484 calls)
% 0.44/0.61 ; 0.006 4% Backward simplification (302 calls)
% 0.44/0.61 ; 0.004 3% Ordering (1,817 calls)
% 0.44/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.44/0.61 ; 0.000 0% Purity testing (1 call)
% 0.44/0.61 ; 0.026 19% Other
% 0.44/0.61 ; 0.135 Total
% 0.44/0.61 ; 0.138 Real time
% 0.44/0.61 ;
% 0.44/0.61 ; Term-hash-array has 447 terms in all.
% 0.44/0.61 ; Feature-vector-row-index has 33 entries (91 at peak, 116 added, 83 deleted).
% 0.44/0.61 ; Feature-vector-row-index has 193 nodes (800 at peak, 984 added, 791 deleted).
% 0.44/0.61 ; Retrieved 40 possibly forward subsuming rows in 124 calls.
% 0.44/0.61 ; Retrieved 68 possibly backward subsumed rows in 116 calls.
% 0.44/0.61 ; Path-index has 290 entries (405 at peak, 497 added, 207 deleted).
% 0.44/0.61 ; Path-index has 140 nodes (170 at peak, 170 added, 30 deleted).
% 0.44/0.61 ; Trie-index has 290 entries (405 at peak, 497 added, 207 deleted).
% 0.44/0.61 ; Trie-index has 487 nodes (691 at peak, 833 added, 346 deleted).
% 0.44/0.61 ; Retrieved 145 generalization terms in 1,658 calls.
% 0.44/0.61 ; Retrieved 185 instance terms in 185 calls.
% 0.44/0.61 ; Retrieved 168 unifiable terms in 1,213 calls.
% 0.44/0.61 ;
% 0.44/0.61 ; The agenda of backward simplifiable rows to process has 25 entries:
% 0.44/0.61 ; 25 with value 0
% 0.44/0.61 ; The agenda of rows to process has 9 entries:
% 0.44/0.61 ; 2 with value 17 1 with value 18 6 with value 20
% 0.44/0.61 ; The agenda of input rows to give has 2 entries:
% 0.44/0.61 ; 1 with value 6 1 with value 7
% 0.44/0.61 ; The agenda of rows to give has 30 entries:
% 0.44/0.61 ; 1 with value (4 10) 4 with value (4 31) 16 with value (4 35)
% 0.44/0.61 ; 1 with value (4 25) 8 with value (4 34)
% 0.44/0.61 Evaluation took:
% 0.44/0.61 0.138 seconds of real time
% 0.44/0.61 0.117062 seconds of user run time
% 0.44/0.61 0.020984 seconds of system run time
% 0.44/0.61 0 calls to %EVAL
% 0.44/0.61 0 page faults and
% 0.44/0.61 9,344,112 bytes consed.
% 0.44/0.61 :PROOF-FOUND
% 0.44/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T18:11:35
% 0.44/0.61 :PROOF-FOUND
% 0.44/0.61 *
%------------------------------------------------------------------------------