TSTP Solution File: HWV005-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 : Sat Jul 16 19:10:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   50 (  30 unt;   5 nHn;  50 RR)
%            Number of literals    :   80 (   0 equ;  37 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(value_propagation_zero1,axiom,
    ( ~ connection(X,Y)
    | ~ zero(X)
    | zero(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).

cnf(value_propagation_zero2,axiom,
    ( ~ connection(X,Y)
    | ~ zero(Y)
    | zero(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).

cnf(value_propagation_one2,axiom,
    ( ~ connection(X,Y)
    | ~ one(Y)
    | one(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).

cnf(unique_value,axiom,
    ( ~ zero(X)
    | ~ one(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).

cnf(and_0_00,axiom,
    ( ~ and_ok(X)
    | ~ zero(out1(X))
    | zero(in1(X))
    | zero(in2(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0_00) ).

cnf(and_ok_or_abnormal,axiom,
    ( ~ logic_and(X)
    | and_ok(X)
    | abnormal(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).

cnf(or_0_0x,axiom,
    ( ~ or_ok(X)
    | ~ zero(out1(X))
    | zero(in1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).

cnf(or_ok_or_abnormal,axiom,
    ( ~ logic_or(X)
    | or_ok(X)
    | abnormal(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).

cnf(not_0_1_bw,axiom,
    ( ~ not_ok(X)
    | ~ zero(out1(X))
    | one(in1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_0_1_bw) ).

cnf(not_ok_or_abnormal,axiom,
    ( ~ logic_not(X)
    | not_ok(X)
    | abnormal(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).

cnf(halfadder_and1,axiom,
    ( ~ halfadder(X)
    | logic_and(and1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).

cnf(halfadder_not1,axiom,
    ( ~ halfadder(X)
    | logic_not(not1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).

cnf(halfadder_or1,axiom,
    ( ~ halfadder(X)
    | logic_or(or1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).

cnf(halfadder_connection_in1_in1or1,axiom,
    ( ~ halfadder(X)
    | connection(in1(X),in1(or1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).

cnf(halfadder_connection_outs_out1and1,axiom,
    ( ~ halfadder(X)
    | connection(outs(X),out1(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).

cnf(halfadder_connection_outc_out1and2,axiom,
    ( ~ halfadder(X)
    | connection(outc(X),out1(and2(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).

cnf(halfadder_connection_out1or1_in1_and1,axiom,
    ( ~ halfadder(X)
    | connection(out1(or1(X)),in1(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).

cnf(halfadder_connection_out1and2_in1not1,axiom,
    ( ~ halfadder(X)
    | connection(out1(and2(X)),in1(not1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).

cnf(halfadder_connection_out1not1_in2and1,axiom,
    ( ~ halfadder(X)
    | connection(out1(not1(X)),in2(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).

cnf(h_isa_halfadder,hypothesis,
    halfadder(h),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_isa_halfadder) ).

cnf(in1_1,hypothesis,
    one(in1(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

cnf(outs_0,hypothesis,
    zero(outs(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_0) ).

cnf(outc_0,hypothesis,
    zero(outc(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

cnf(diagnosis_and1,negated_conjecture,
    ~ abnormal(and1(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1) ).

cnf(diagnosis_not1,negated_conjecture,
    ~ abnormal(not1(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1) ).

cnf(diagnosis_or1,negated_conjecture,
    ~ abnormal(or1(h)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1) ).

cnf(49,plain,
    ~ zero(in1(h)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,in1_1]) ).

cnf(50,plain,
    ~ one(outc(h)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,outc_0]) ).

cnf(53,plain,
    logic_and(and1(h)),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and1,h_isa_halfadder]) ).

cnf(55,plain,
    logic_not(not1(h)),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_not1,h_isa_halfadder]) ).

cnf(56,plain,
    logic_or(or1(h)),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_or1,h_isa_halfadder]) ).

cnf(57,plain,
    connection(in1(h),in1(or1(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in1_in1or1,h_isa_halfadder]) ).

cnf(61,plain,
    connection(outs(h),out1(and1(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outs_out1and1,h_isa_halfadder]) ).

cnf(62,plain,
    connection(outc(h),out1(and2(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outc_out1and2,h_isa_halfadder]) ).

cnf(63,plain,
    connection(out1(or1(h)),in1(and1(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1or1_in1_and1,h_isa_halfadder]) ).

cnf(64,plain,
    connection(out1(and2(h)),in1(not1(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1and2_in1not1,h_isa_halfadder]) ).

cnf(65,plain,
    connection(out1(not1(h)),in2(and1(h))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1not1_in2and1,h_isa_halfadder]) ).

cnf(72,plain,
    and_ok(and1(h)),
    inference('UR-RESOLVE',[status(thm)],[and_ok_or_abnormal,53,diagnosis_and1]) ).

cnf(74,plain,
    not_ok(not1(h)),
    inference('UR-RESOLVE',[status(thm)],[not_ok_or_abnormal,55,diagnosis_not1]) ).

cnf(75,plain,
    or_ok(or1(h)),
    inference('UR-RESOLVE',[status(thm)],[or_ok_or_abnormal,56,diagnosis_or1]) ).

cnf(77,plain,
    ~ zero(in1(or1(h))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,57,49]) ).

cnf(85,plain,
    ~ zero(out1(or1(h))),
    inference('UR-RESOLVE',[status(thm)],[or_0_0x,77,75]) ).

cnf(110,plain,
    zero(out1(and1(h))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_zero1,61,outs_0]) ).

cnf(118,plain,
    ( zero(in1(and1(h)))
    | zero(in2(and1(h))) ),
    inference('HYPERRESOLVE',[status(thm)],[and_0_00,110,72]) ).

cnf(120,plain,
    ~ one(out1(and2(h))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,62,50]) ).

cnf(147,plain,
    ~ zero(in1(and1(h))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,63,85]) ).

cnf(148,plain,
    zero(in2(and1(h))),
    inference('REWRITE',[status(thm)],[118,147]) ).

cnf(159,plain,
    ~ one(in1(not1(h))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,64,120]) ).

cnf(169,plain,
    ~ zero(out1(not1(h))),
    inference('UR-RESOLVE',[status(thm)],[not_0_1_bw,159,74]) ).

cnf(170,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[value_propagation_zero2,65,148]),169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : HWV005-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n010.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 : Fri Jun 17 07:52:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T07:52:53
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-17T07:52:53
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54  % 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  ;       301 formulas have been input or derived (from 97 formulas).
% 0.19/0.54  ;       170 (56%) were retained.  Of these,
% 0.19/0.54  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.54  ;          169 (99%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds excluding printing time:
% 0.19/0.54  ;     0.008  14%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.002   4%   Assert                       (48 calls)
% 0.19/0.54  ;     0.007  12%   Process new row              (280 calls)
% 0.19/0.54  ;     0.005   9%   Resolution                   (192 calls)
% 0.19/0.54  ;     0.000   0%   Paramodulation               (96 calls)
% 0.19/0.55  ;     0.000   0%   Condensing                   (42 calls)
% 0.19/0.55  ;     0.001   2%   Forward subsumption          (42 calls)
% 0.19/0.55  ;     0.002   4%   Backward subsumption         (42 calls)
% 0.19/0.55  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.19/0.55  ;     0.001   2%   Forward simplification       (280 calls)
% 0.19/0.55  ;     0.003   5%   Backward simplification      (170 calls)
% 0.19/0.55  ;     0.000   0%   Ordering                     (3 calls)
% 0.19/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.55  ;     0.027  48%   Other
% 0.19/0.55  ;     0.056        Total
% 0.19/0.55  ;     0.061        Real time
% 0.19/0.55  ; 
% 0.19/0.55  ; Term-hash-array has 200 terms in all.
% 0.19/0.55  ; Feature-vector-row-index has 41 entries (42 at peak, 42 added, 1 deleted).
% 0.19/0.55  ; Feature-vector-row-index has 124 nodes (132 at peak, 132 added, 8 deleted).
% 0.19/0.55  ;  Retrieved 5 possibly forward subsuming rows in 42 calls.
% 0.19/0.55  ;  Retrieved 3 possibly backward subsumed rows in 42 calls.
% 0.19/0.55  ; Path-index has 201 entries (201 at peak, 202 added, 1 deleted).
% 0.19/0.55  ; Path-index has 267 nodes (267 at peak, 268 added, 1 deleted).
% 0.19/0.55  ; Trie-index has 201 entries (201 at peak, 202 added, 1 deleted).
% 0.19/0.55  ; Trie-index has 433 nodes (433 at peak, 435 added, 2 deleted).
% 0.19/0.55  ; Retrieved 115 generalization terms in 235 calls.
% 0.19/0.55  ; Retrieved 127 instance terms in 127 calls.
% 0.19/0.55  ; Retrieved 2,115 unifiable terms in 972 calls.
% 0.19/0.55  ; 
% 0.19/0.55  ; The agenda of rows to give has 72 entries:
% 0.19/0.55  ;     5 with value (4 11)         26 with value (4 13)          20 with value (4 14)
% 0.19/0.55  ;    21 with value (4 12)
% 0.19/0.55  Evaluation took:
% 0.19/0.55    0.062 seconds of real time
% 0.19/0.55    0.047536 seconds of user run time
% 0.19/0.55    0.01465 seconds of system run time
% 0.19/0.55    0 calls to %EVAL
% 0.19/0.55    0 page faults and
% 0.19/0.55    5,522,760 bytes consed.
% 0.19/0.55  :PROOF-FOUND
% 0.19/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T07:52:53
% 0.19/0.55  :PROOF-FOUND
% 0.19/0.55  * 
%------------------------------------------------------------------------------