TSTP Solution File: SWW101+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 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 21 01:24:32 EDT 2022
% Result : Theorem 3.06s 3.27s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 33 ( 23 unt; 5 nHn; 27 RR)
% Number of literals : 47 ( 32 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ bool(X)
| X = false
| X = true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_bool) ).
cnf(2,axiom,
( bool(X)
| X != false ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_bool) ).
cnf(3,axiom,
( bool(X)
| X != true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_bool) ).
cnf(7,axiom,
d(true),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',false_true_err_in_d) ).
cnf(8,axiom,
d(false),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',false_true_err_in_d) ).
cnf(20,axiom,
( forallprefers(X,Y)
| X != false
| Y != true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_forallprefers) ).
cnf(33,axiom,
( phi(X) = X
| ~ d(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_phi) ).
cnf(36,axiom,
( prop(X) = true
| ~ bool(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',prop_true) ).
cnf(38,axiom,
( prop(X) = false
| bool(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',prop_false) ).
cnf(44,axiom,
lazy_impl(false,X) = true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom2) ).
cnf(45,axiom,
lazy_impl(true,X) = phi(X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom3) ).
cnf(82,axiom,
false1 = false,
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_false1) ).
cnf(83,axiom,
f7(X) = lazy_impl(prop(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_f7) ).
cnf(84,axiom,
false2 = phi(f7('SKOLEMAAAZ7')),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_false2) ).
cnf(85,axiom,
~ forallprefers(f7(X),f7('SKOLEMAAAZ7')),
file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_false2) ).
cnf(90,negated_conjecture,
false1 != false2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false1_false2) ).
cnf(91,plain,
false != false2,
inference('REWRITE',[status(thm)],[90,82,theory(equality)]) ).
cnf(92,plain,
bool(false),
inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(93,plain,
bool(true),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality)]) ).
cnf(95,plain,
phi(true) = true,
inference('HYPERRESOLVE',[status(thm)],[33,7]) ).
cnf(96,plain,
phi(false) = false,
inference('HYPERRESOLVE',[status(thm)],[33,8]) ).
cnf(120,plain,
( prop(X) = false
| X = false
| X = true ),
inference('HYPERRESOLVE',[status(thm)],[1,38]) ).
cnf(162,plain,
forallprefers(false,true),
inference('HYPERRESOLVE',[status(thm)],[20,theory(equality),theory(equality)]) ).
cnf(282,plain,
prop(false) = true,
inference('HYPERRESOLVE',[status(thm)],[36,92]) ).
cnf(298,plain,
prop(true) = true,
inference('HYPERRESOLVE',[status(thm)],[36,93]) ).
cnf(325,plain,
f7(false) = false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,282,theory(equality)]),96,45,theory(equality)]) ).
cnf(330,plain,
f7(true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,298,theory(equality)]),95,45,theory(equality)]) ).
cnf(364,plain,
f7('SKOLEMAAAZ7') != true,
inference('UR-RESOLVE',[status(thm)],[20,325,85]) ).
cnf(365,plain,
~ forallprefers(false,f7('SKOLEMAAAZ7')),
inference('PARAMODULATE',[status(thm)],[85,325,theory(equality)]) ).
cnf(1574,plain,
( X = false
| X = true
| f7(X) = true ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,120,theory(equality)]),44,theory(equality)]) ).
cnf(2572,plain,
( 'SKOLEMAAAZ7' = false
| 'SKOLEMAAAZ7' = true ),
inference('HYPERRESOLVE',[status(thm)],[364,1574]) ).
cnf(2593,plain,
'SKOLEMAAAZ7' = false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[365,2572,theory(equality)]),162,330,theory(equality)]) ).
cnf(2594,plain,
$false,
inference('REWRITE',[status(thm)],[84,91,96,325,2593,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : Sun Jun 5 03:12:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 *
% 0.20/0.51 *
% 0.20/0.51 #<PACKAGE "SNARK-USER">
% 0.20/0.51 *
% 0.20/0.52 SNARK-TPTP-OPTIONS
% 0.20/0.52 *
% 0.20/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.52 (USE-FACTORING :POS)
% 0.20/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.52 *
% 0.20/0.52 "."
% 0.20/0.52 *
% 0.20/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T03:12:02
% 0.20/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T03:12:02
% 3.06/3.27
% 3.06/3.27
% 3.06/3.27 #||
% 3.06/3.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/3.27 % SZS output start Refutation
% See solution above
% 3.06/3.27 ||#
% 3.06/3.27
% 3.06/3.27 ; Summary of computation:
% 3.06/3.27 ; 15912 formulas have been input or derived (from 290 formulas).
% 3.06/3.27 ; 2594 (16%) were retained. Of these,
% 3.06/3.27 ; 82 ( 3%) were simplified or subsumed later,
% 3.06/3.27 ; 2512 (97%) are still being kept.
% 3.06/3.27 ;
% 3.06/3.27 ; Run time in seconds excluding printing time:
% 3.06/3.27 ; 0.010 0% Read assertion file (1 call)
% 3.06/3.27 ; 0.002 0% Assert (45 calls)
% 3.06/3.27 ; 0.439 16% Process new row (15,639 calls)
% 3.06/3.27 ; 0.321 12% Resolution (578 calls)
% 3.06/3.27 ; 0.067 2% Paramodulation (289 calls)
% 3.06/3.27 ; 0.004 0% Factoring (156 calls)
% 3.06/3.27 ; 0.177 6% Condensing (7,598 calls)
% 3.06/3.27 ; 0.687 25% Forward subsumption (7,598 calls)
% 3.06/3.27 ; 0.203 7% Backward subsumption (2,440 calls)
% 3.06/3.27 ; 0.102 4% Clause clause subsumption (15,178 calls)
% 3.06/3.27 ; 0.536 20% Forward simplification (15,639 calls)
% 3.06/3.27 ; 0.011 0% Backward simplification (2,585 calls)
% 3.06/3.27 ; 0.065 2% Ordering (20,352 calls)
% 3.06/3.27 ; 0.000 0% Sortal reasoning (32 calls)
% 3.06/3.27 ; 0.000 0% Purity testing (1 call)
% 3.06/3.27 ; 0.121 4% Other
% 3.06/3.27 ; 2.745 Total
% 3.06/3.27 ; 2.755 Real time
% 3.06/3.27 ;
% 3.06/3.27 ; Term-hash-array has 2,332 terms in all.
% 3.06/3.27 ; Feature-vector-row-index has 2,376 entries (2,383 at peak, 2,440 added, 64 deleted).
% 3.06/3.27 ; Feature-vector-row-index has 12,175 nodes (12,211 at peak, 12,498 added, 323 deleted).
% 3.06/3.27 ; Retrieved 32,417 possibly forward subsuming rows in 7,598 calls.
% 3.06/3.27 ; Retrieved 1,920 possibly backward subsumed rows in 2,440 calls.
% 3.06/3.27 ; Path-index has 2,303 entries (2,319 at peak, 2,354 added, 51 deleted).
% 3.06/3.27 ; Path-index has 4,631 nodes (4,643 at peak, 4,660 added, 29 deleted).
% 3.06/3.27 ; Trie-index has 2,303 entries (2,319 at peak, 2,354 added, 51 deleted).
% 3.06/3.27 ; Trie-index has 7,481 nodes (7,503 at peak, 7,537 added, 56 deleted).
% 3.06/3.27 ; Retrieved 28,640 generalization terms in 97,543 calls.
% 3.06/3.27 ; Retrieved 167 instance terms in 144 calls.
% 3.06/3.27 ; Retrieved 33,400 unifiable terms in 4,362 calls.
% 3.06/3.27 ;
% 3.06/3.27 ; The agenda of backward simplifiable rows to process has 10 entries:
% 3.06/3.27 ; 10 with value 0
% 3.06/3.27 ; The agenda of rows to process has 61 entries:
% 3.06/3.27 ; 1 with value 16 1 with value 20 10 with value 24
% 3.06/3.27 ; 13 with value 17 6 with value 22 18 with value 25
% 3.06/3.27 ; 2 with value 18 10 with value 23
% 3.06/3.27 ; The agenda of rows to give has 2228 entries:
% 3.06/3.27 ; 1 with value (4 10) 61 with value (4 30) 25 with value (4 45)
% 3.06/3.27 ; 23 with value (4 16) 16 with value (4 31) 18 with value (4 46)
% 3.06/3.27 ; 74 with value (4 17) 62 with value (4 32) 31 with value (4 47)
% 3.06/3.27 ; 86 with value (4 18) 68 with value (4 33) 17 with value (4 48)
% 3.06/3.27 ; 67 with value (4 19) 64 with value (4 34) 12 with value (4 49)
% 3.06/3.27 ; 86 with value (4 20) 91 with value (4 35) 10 with value (4 50)
% 3.06/3.27 ; 58 with value (4 21) 87 with value (4 36) 12 with value (4 51)
% 3.06/3.27 ; 72 with value (4 22) 83 with value (4 37) 5 with value (4 52)
% 3.06/3.27 ; 63 with value (4 23) 160 with value (4 38) 6 with value (4 54)
% 3.06/3.27 ; 107 with value (4 24) 116 with value (4 39) 3 with value (4 55)
% 3.06/3.27 ; 107 with value (4 25) 37 with value (4 40) 2 with value (4 59)
% 3.06/3.27 ; 79 with value (4 26) 32 with value (4 41) 1 with value (4 67)
% 3.06/3.27 ; 60 with value (4 27) 20 with value (4 42) 2 with value (4 78)
% 3.06/3.27 ; 58 with value (4 28) 116 with value (4 43) 1 with value (4 90)
% 3.06/3.27 ; 105 with value (4 29) 24 with value (4 44)
% 3.06/3.27 Evaluation took:
% 3.06/3.27 2.757 seconds of real time
% 3.06/3.27 2.501177 seconds of user run time
% 3.06/3.27 0.24952 seconds of system run time
% 3.06/3.27 [Run times include 0.186 seconds GC run time.]
% 3.06/3.27 0 calls to %EVAL
% 3.06/3.27 0 page faults and
% 3.06/3.27 131,463,904 bytes consed.
% 3.06/3.27 :PROOF-FOUND
% 3.06/3.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T03:12:04
% 3.06/3.27 :PROOF-FOUND
% 3.06/3.27 *
%------------------------------------------------------------------------------