%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Wed Jul 20 21:35:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of clauses : 89 ( 89 unt; 0 nHn; 87 RR)
% Number of literals : 89 ( 88 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 37 con; 0-3 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X,Y,Z),Y) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(a3,axiom,
store(X,Y,select(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
cnf(hyp0,hypothesis,
a_29 = store(a1,i1,e_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
cnf(hyp1,hypothesis,
a_31 = store(a2,i1,e_30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
cnf(hyp2,hypothesis,
a_33 = store(a_29,i2,e_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp3,hypothesis,
a_35 = store(a_31,i2,e_34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp4,hypothesis,
a_37 = store(a_33,i3,e_36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp5,hypothesis,
a_39 = store(a_35,i3,e_38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp6,hypothesis,
a_41 = store(a_37,i4,e_40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp7,hypothesis,
a_43 = store(a_39,i4,e_42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp8,hypothesis,
a_45 = store(a_41,i5,e_44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp9,hypothesis,
a_47 = store(a_43,i5,e_46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp10,hypothesis,
a_49 = store(a_45,i6,e_48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp11,hypothesis,
a_51 = store(a_47,i6,e_50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp12,hypothesis,
a_53 = store(a_49,i7,e_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp13,hypothesis,
a_55 = store(a_51,i7,e_54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp14,hypothesis,
e_28 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
cnf(hyp15,hypothesis,
e_30 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
cnf(hyp16,hypothesis,
e_32 = select(a_31,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp17,hypothesis,
e_34 = select(a_29,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp18,hypothesis,
e_36 = select(a_35,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp19,hypothesis,
e_38 = select(a_33,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp20,hypothesis,
e_40 = select(a_39,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp21,hypothesis,
e_42 = select(a_37,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp22,hypothesis,
e_44 = select(a_43,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp23,hypothesis,
e_46 = select(a_41,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp24,hypothesis,
e_48 = select(a_47,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp25,hypothesis,
e_50 = select(a_45,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
cnf(hyp26,hypothesis,
e_52 = select(a_51,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
cnf(hyp27,hypothesis,
e_54 = select(a_49,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
cnf(hyp28,hypothesis,
a_53 = a_55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
cnf(goal,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(36,plain,
a_53 = store(a_51,i7,e_54),
inference('REWRITE',[status(thm)],[hyp13,hyp28,theory(equality)]) ).
cnf(37,plain,
select(a_53,i7) = e_54,
inference('PARAMODULATE',[status(thm)],[a1,36,theory(equality)]) ).
cnf(38,plain,
e_54 = e_52,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp12,theory(equality)]),37,theory(equality)]) ).
cnf(39,plain,
e_52 = select(a_49,i7),
inference('REWRITE',[status(thm)],[hyp27,38,theory(equality)]) ).
cnf(40,plain,
a_53 = store(a_51,i7,e_52),
inference('REWRITE',[status(thm)],[36,38,theory(equality)]) ).
cnf(42,plain,
select(a_51,i6) = e_50,
inference('PARAMODULATE',[status(thm)],[a1,hyp11,theory(equality)]) ).
cnf(43,plain,
select(a_49,i6) = e_48,
inference('PARAMODULATE',[status(thm)],[a1,hyp10,theory(equality)]) ).
cnf(44,plain,
select(a_47,i5) = e_46,
inference('PARAMODULATE',[status(thm)],[a1,hyp9,theory(equality)]) ).
cnf(45,plain,
select(a_45,i5) = e_44,
inference('PARAMODULATE',[status(thm)],[a1,hyp8,theory(equality)]) ).
cnf(46,plain,
select(a_43,i4) = e_42,
inference('PARAMODULATE',[status(thm)],[a1,hyp7,theory(equality)]) ).
cnf(47,plain,
select(a_41,i4) = e_40,
inference('PARAMODULATE',[status(thm)],[a1,hyp6,theory(equality)]) ).
cnf(48,plain,
select(a_39,i3) = e_38,
inference('PARAMODULATE',[status(thm)],[a1,hyp5,theory(equality)]) ).
cnf(49,plain,
select(a_37,i3) = e_36,
inference('PARAMODULATE',[status(thm)],[a1,hyp4,theory(equality)]) ).
cnf(50,plain,
select(a_35,i2) = e_34,
inference('PARAMODULATE',[status(thm)],[a1,hyp3,theory(equality)]) ).
cnf(51,plain,
select(a_33,i2) = e_32,
inference('PARAMODULATE',[status(thm)],[a1,hyp2,theory(equality)]) ).
cnf(52,plain,
select(a_31,i1) = e_30,
inference('PARAMODULATE',[status(thm)],[a1,hyp1,theory(equality)]) ).
cnf(53,plain,
select(a_29,i1) = e_28,
inference('PARAMODULATE',[status(thm)],[a1,hyp0,theory(equality)]) ).
cnf(54,plain,
a_53 = a_51,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,hyp26,theory(equality)]),40,theory(equality)]) ).
cnf(55,plain,
a_51 = store(a_49,i7,e_52),
inference('REWRITE',[status(thm)],[hyp12,54,theory(equality)]) ).
cnf(58,plain,
a_51 = a_49,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,39,theory(equality)]),55,theory(equality)]) ).
cnf(59,plain,
a_49 = store(a_47,i6,e_50),
inference('REWRITE',[status(thm)],[hyp11,58,theory(equality)]) ).
cnf(60,plain,
e_48 = e_50,
inference('REWRITE',[status(thm)],[42,43,58,theory(equality)]) ).
cnf(61,plain,
e_48 = select(a_45,i6),
inference('REWRITE',[status(thm)],[hyp25,60,theory(equality)]) ).
cnf(62,plain,
a_49 = store(a_47,i6,e_48),
inference('REWRITE',[status(thm)],[59,60,theory(equality)]) ).
cnf(66,plain,
a_49 = a_47,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,hyp24,theory(equality)]),62,theory(equality)]) ).
cnf(67,plain,
a_47 = store(a_45,i6,e_48),
inference('REWRITE',[status(thm)],[hyp10,66,theory(equality)]) ).
cnf(74,plain,
store(a_43,i5,e_44) = a_43,
inference('PARAMODULATE',[status(thm)],[a3,hyp22,theory(equality)]) ).
cnf(75,plain,
store(a_41,i5,e_46) = a_41,
inference('PARAMODULATE',[status(thm)],[a3,hyp23,theory(equality)]) ).
cnf(76,plain,
store(a_39,i4,e_40) = a_39,
inference('PARAMODULATE',[status(thm)],[a3,hyp20,theory(equality)]) ).
cnf(77,plain,
store(a_37,i4,e_42) = a_37,
inference('PARAMODULATE',[status(thm)],[a3,hyp21,theory(equality)]) ).
cnf(78,plain,
store(a_35,i3,e_36) = a_35,
inference('PARAMODULATE',[status(thm)],[a3,hyp18,theory(equality)]) ).
cnf(79,plain,
store(a_33,i3,e_38) = a_33,
inference('PARAMODULATE',[status(thm)],[a3,hyp19,theory(equality)]) ).
cnf(80,plain,
store(a_31,i2,e_32) = a_31,
inference('PARAMODULATE',[status(thm)],[a3,hyp16,theory(equality)]) ).
cnf(81,plain,
store(a_29,i2,e_34) = a_29,
inference('PARAMODULATE',[status(thm)],[a3,hyp17,theory(equality)]) ).
cnf(82,plain,
store(a2,i1,e_28) = a2,
inference('PARAMODULATE',[status(thm)],[a3,hyp14,theory(equality)]) ).
cnf(83,plain,
store(a1,i1,e_30) = a1,
inference('PARAMODULATE',[status(thm)],[a3,hyp15,theory(equality)]) ).
cnf(84,plain,
a_47 = a_45,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,61,theory(equality)]),67,theory(equality)]) ).
cnf(85,plain,
a_45 = store(a_43,i5,e_46),
inference('REWRITE',[status(thm)],[hyp9,84,theory(equality)]) ).
cnf(86,plain,
e_44 = e_46,
inference('REWRITE',[status(thm)],[44,45,84,theory(equality)]) ).
cnf(88,plain,
a_45 = a_41,
inference('REWRITE',[status(thm)],[75,hyp8,86,theory(equality)]) ).
cnf(92,plain,
a_41 = a_43,
inference('REWRITE',[status(thm)],[85,74,88,86,theory(equality)]) ).
cnf(93,plain,
a_41 = store(a_39,i4,e_42),
inference('REWRITE',[status(thm)],[hyp7,92,theory(equality)]) ).
cnf(94,plain,
e_40 = e_42,
inference('REWRITE',[status(thm)],[46,47,92,theory(equality)]) ).
cnf(96,plain,
a_41 = a_37,
inference('REWRITE',[status(thm)],[77,hyp6,94,theory(equality)]) ).
cnf(104,plain,
a_37 = a_39,
inference('REWRITE',[status(thm)],[93,76,96,94,theory(equality)]) ).
cnf(105,plain,
a_37 = store(a_35,i3,e_38),
inference('REWRITE',[status(thm)],[hyp5,104,theory(equality)]) ).
cnf(106,plain,
e_36 = e_38,
inference('REWRITE',[status(thm)],[48,49,104,theory(equality)]) ).
cnf(108,plain,
a_37 = a_33,
inference('REWRITE',[status(thm)],[79,hyp4,106,theory(equality)]) ).
cnf(120,plain,
a_33 = a_35,
inference('REWRITE',[status(thm)],[105,78,108,106,theory(equality)]) ).
cnf(121,plain,
a_33 = store(a_31,i2,e_34),
inference('REWRITE',[status(thm)],[hyp3,120,theory(equality)]) ).
cnf(122,plain,
e_32 = e_34,
inference('REWRITE',[status(thm)],[50,51,120,theory(equality)]) ).
cnf(124,plain,
a_33 = a_29,
inference('REWRITE',[status(thm)],[81,hyp2,122,theory(equality)]) ).
cnf(140,plain,
a_29 = a_31,
inference('REWRITE',[status(thm)],[121,80,124,122,theory(equality)]) ).
cnf(141,plain,
a_29 = store(a2,i1,e_30),
inference('REWRITE',[status(thm)],[hyp1,140,theory(equality)]) ).
cnf(142,plain,
e_28 = e_30,
inference('REWRITE',[status(thm)],[52,53,140,theory(equality)]) ).
cnf(144,plain,
a_29 = a1,
inference('REWRITE',[status(thm)],[83,hyp0,142,theory(equality)]) ).
cnf(164,plain,
$false,
inference('REWRITE',[status(thm)],[141,goal,82,144,142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV558-1.007 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 22:22:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T22:22:35
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T22:22:35
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 229 formulas have been input or derived (from 37 formulas).
% 0.19/0.54 ; 164 (72%) were retained. Of these,
% 0.19/0.54 ; 127 (77%) were simplified or subsumed later,
% 0.19/0.54 ; 37 (23%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.004 8% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 2% Assert (35 calls)
% 0.19/0.54 ; 0.008 15% Process new row (217 calls)
% 0.19/0.54 ; 0.002 4% Resolution (72 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (36 calls)
% 0.19/0.54 ; 0.001 2% Condensing (2 calls)
% 0.19/0.54 ; 0.000 0% Forward subsumption (2 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (2 calls)
% 0.19/0.54 ; 0.003 6% Forward simplification (216 calls)
% 0.19/0.54 ; 0.011 21% Backward simplification (164 calls)
% 0.19/0.54 ; 0.000 0% Ordering (336 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.023 43% Other
% 0.19/0.54 ; 0.053 Total
% 0.19/0.54 ; 0.061 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 256 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.19/0.54 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.19/0.54 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.19/0.54 ; Path-index has 94 entries (155 at peak, 365 added, 271 deleted).
% 0.19/0.54 ; Path-index has 163 nodes (246 at peak, 450 added, 287 deleted).
% 0.19/0.54 ; Trie-index has 94 entries (155 at peak, 365 added, 271 deleted).
% 0.19/0.54 ; Trie-index has 181 nodes (369 at peak, 755 added, 574 deleted).
% 0.19/0.54 ; Retrieved 41 generalization terms in 321 calls.
% 0.19/0.54 ; Retrieved 161 instance terms in 161 calls.
% 0.19/0.54 ; Retrieved 175 unifiable terms in 224 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.19/0.54 ; 12 with value 0
% 0.19/0.54 ; The agenda of input rows to give has 18 entries:
% 0.19/0.54 ; 4 with value 4 5 with value 8 1 with value 17
% 0.19/0.54 ; 6 with value 7 1 with value 15 1 with value 22
% 0.19/0.54 ; The agenda of rows to give has 14 entries:
% 0.19/0.54 ; 13 with value (4 5) 1 with value (4 9)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.061 seconds of real time
% 0.19/0.54 0.051127 seconds of user run time
% 0.19/0.54 0.010016 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 7,128,840 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T22:22:35
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------