TSTP Solution File: SWV558-1.004 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 51 RR)
% Number of literals : 53 ( 52 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 : 24 ( 24 usr; 22 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_17 = store(a1,i1,e_16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
cnf(hyp1,hypothesis,
a_19 = store(a2,i1,e_18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
cnf(hyp2,hypothesis,
a_21 = store(a_17,i2,e_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp3,hypothesis,
a_23 = store(a_19,i2,e_22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp4,hypothesis,
a_25 = store(a_21,i3,e_24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp5,hypothesis,
a_27 = store(a_23,i3,e_26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp6,hypothesis,
a_29 = store(a_25,i4,e_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp7,hypothesis,
a_31 = store(a_27,i4,e_30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp8,hypothesis,
e_16 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp9,hypothesis,
e_18 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp10,hypothesis,
e_20 = select(a_19,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp11,hypothesis,
e_22 = select(a_17,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp12,hypothesis,
e_24 = select(a_23,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp13,hypothesis,
e_26 = select(a_21,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp14,hypothesis,
e_28 = select(a_27,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
cnf(hyp15,hypothesis,
e_30 = select(a_25,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
cnf(hyp16,hypothesis,
a_29 = a_31,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(goal,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(24,plain,
a_29 = store(a_27,i4,e_30),
inference('REWRITE',[status(thm)],[hyp7,hyp16,theory(equality)]) ).
cnf(25,plain,
select(a_29,i4) = e_30,
inference('PARAMODULATE',[status(thm)],[a1,24,theory(equality)]) ).
cnf(26,plain,
e_30 = e_28,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp6,theory(equality)]),25,theory(equality)]) ).
cnf(27,plain,
e_28 = select(a_25,i4),
inference('REWRITE',[status(thm)],[hyp15,26,theory(equality)]) ).
cnf(28,plain,
a_29 = store(a_27,i4,e_28),
inference('REWRITE',[status(thm)],[24,26,theory(equality)]) ).
cnf(30,plain,
select(a_27,i3) = e_26,
inference('PARAMODULATE',[status(thm)],[a1,hyp5,theory(equality)]) ).
cnf(31,plain,
select(a_25,i3) = e_24,
inference('PARAMODULATE',[status(thm)],[a1,hyp4,theory(equality)]) ).
cnf(32,plain,
select(a_23,i2) = e_22,
inference('PARAMODULATE',[status(thm)],[a1,hyp3,theory(equality)]) ).
cnf(33,plain,
select(a_21,i2) = e_20,
inference('PARAMODULATE',[status(thm)],[a1,hyp2,theory(equality)]) ).
cnf(34,plain,
select(a_19,i1) = e_18,
inference('PARAMODULATE',[status(thm)],[a1,hyp1,theory(equality)]) ).
cnf(35,plain,
select(a_17,i1) = e_16,
inference('PARAMODULATE',[status(thm)],[a1,hyp0,theory(equality)]) ).
cnf(36,plain,
a_29 = a_27,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,hyp14,theory(equality)]),28,theory(equality)]) ).
cnf(37,plain,
a_27 = store(a_25,i4,e_28),
inference('REWRITE',[status(thm)],[hyp6,36,theory(equality)]) ).
cnf(40,plain,
a_27 = a_25,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,27,theory(equality)]),37,theory(equality)]) ).
cnf(41,plain,
a_25 = store(a_23,i3,e_26),
inference('REWRITE',[status(thm)],[hyp5,40,theory(equality)]) ).
cnf(42,plain,
e_24 = e_26,
inference('REWRITE',[status(thm)],[30,31,40,theory(equality)]) ).
cnf(43,plain,
e_24 = select(a_21,i3),
inference('REWRITE',[status(thm)],[hyp13,42,theory(equality)]) ).
cnf(44,plain,
a_25 = store(a_23,i3,e_24),
inference('REWRITE',[status(thm)],[41,42,theory(equality)]) ).
cnf(48,plain,
a_25 = a_23,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,hyp12,theory(equality)]),44,theory(equality)]) ).
cnf(49,plain,
a_23 = store(a_21,i3,e_24),
inference('REWRITE',[status(thm)],[hyp4,48,theory(equality)]) ).
cnf(56,plain,
store(a_19,i2,e_20) = a_19,
inference('PARAMODULATE',[status(thm)],[a3,hyp10,theory(equality)]) ).
cnf(57,plain,
store(a_17,i2,e_22) = a_17,
inference('PARAMODULATE',[status(thm)],[a3,hyp11,theory(equality)]) ).
cnf(58,plain,
store(a2,i1,e_16) = a2,
inference('PARAMODULATE',[status(thm)],[a3,hyp8,theory(equality)]) ).
cnf(59,plain,
store(a1,i1,e_18) = a1,
inference('PARAMODULATE',[status(thm)],[a3,hyp9,theory(equality)]) ).
cnf(60,plain,
a_23 = a_21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a3,43,theory(equality)]),49,theory(equality)]) ).
cnf(61,plain,
a_21 = store(a_19,i2,e_22),
inference('REWRITE',[status(thm)],[hyp3,60,theory(equality)]) ).
cnf(62,plain,
e_20 = e_22,
inference('REWRITE',[status(thm)],[32,33,60,theory(equality)]) ).
cnf(64,plain,
a_21 = a_17,
inference('REWRITE',[status(thm)],[57,hyp2,62,theory(equality)]) ).
cnf(68,plain,
a_17 = a_19,
inference('REWRITE',[status(thm)],[61,56,64,62,theory(equality)]) ).
cnf(69,plain,
a_17 = store(a2,i1,e_18),
inference('REWRITE',[status(thm)],[hyp1,68,theory(equality)]) ).
cnf(70,plain,
e_16 = e_18,
inference('REWRITE',[status(thm)],[34,35,68,theory(equality)]) ).
cnf(72,plain,
a_17 = a1,
inference('REWRITE',[status(thm)],[59,hyp0,70,theory(equality)]) ).
cnf(80,plain,
$false,
inference('REWRITE',[status(thm)],[69,goal,58,72,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 23:15:05 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T23:15:05
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T23:15:05
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.55 ||#
% 0.37/0.55
% 0.37/0.55 ; Summary of computation:
% 0.37/0.55 ; 124 formulas have been input or derived (from 25 formulas).
% 0.37/0.55 ; 80 (65%) were retained. Of these,
% 0.37/0.55 ; 58 (72%) were simplified or subsumed later,
% 0.37/0.55 ; 22 (28%) are still being kept.
% 0.37/0.55 ;
% 0.37/0.55 ; Run time in seconds excluding printing time:
% 0.37/0.55 ; 0.003 8% Read assertion file (1 call)
% 0.37/0.55 ; 0.001 2% Assert (23 calls)
% 0.37/0.55 ; 0.006 15% Process new row (115 calls)
% 0.37/0.55 ; 0.002 5% Resolution (48 calls)
% 0.37/0.55 ; 0.000 0% Paramodulation (24 calls)
% 0.37/0.55 ; 0.000 0% Condensing (2 calls)
% 0.37/0.55 ; 0.000 0% Forward subsumption (2 calls)
% 0.37/0.55 ; 0.000 0% Backward subsumption (2 calls)
% 0.37/0.55 ; 0.002 5% Forward simplification (114 calls)
% 0.37/0.55 ; 0.002 5% Backward simplification (80 calls)
% 0.37/0.55 ; 0.001 2% Ordering (192 calls)
% 0.37/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.55 ; 0.000 0% Purity testing (1 call)
% 0.37/0.55 ; 0.023 58% Other
% 0.37/0.55 ; 0.040 Total
% 0.37/0.55 ; 0.044 Real time
% 0.37/0.55 ;
% 0.37/0.55 ; Term-hash-array has 127 terms in all.
% 0.37/0.55 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.37/0.55 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.37/0.55 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.37/0.55 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.37/0.55 ; Path-index has 58 entries (92 at peak, 179 added, 121 deleted).
% 0.37/0.55 ; Path-index has 118 nodes (171 at peak, 255 added, 137 deleted).
% 0.37/0.55 ; Trie-index has 58 entries (92 at peak, 179 added, 121 deleted).
% 0.37/0.55 ; Trie-index has 127 nodes (223 at peak, 404 added, 277 deleted).
% 0.37/0.55 ; Retrieved 26 generalization terms in 165 calls.
% 0.37/0.55 ; Retrieved 77 instance terms in 77 calls.
% 0.37/0.55 ; Retrieved 115 unifiable terms in 146 calls.
% 0.37/0.55 ;
% 0.37/0.55 ; The agenda of backward simplifiable rows to process has 9 entries:
% 0.37/0.55 ; 9 with value 0
% 0.37/0.55 ; The agenda of input rows to give has 9 entries:
% 0.37/0.55 ; 1 with value 4 2 with value 8 1 with value 17
% 0.37/0.55 ; 3 with value 7 1 with value 15 1 with value 22
% 0.37/0.55 ; The agenda of rows to give has 8 entries:
% 0.37/0.55 ; 7 with value (4 5) 1 with value (4 9)
% 0.37/0.55 Evaluation took:
% 0.37/0.55 0.045 seconds of real time
% 0.37/0.55 0.039529 seconds of user run time
% 0.37/0.55 0.005079 seconds of system run time
% 0.37/0.55 0 calls to %EVAL
% 0.37/0.55 0 page faults and
% 0.37/0.55 4,602,432 bytes consed.
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T23:15:05
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 *
%------------------------------------------------------------------------------