TSTP Solution File: CSR027-10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 : Fri Jul 15 23:18:04 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;  12 RR)
%            Number of literals    :   21 (  20 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  11 con; 0-4 aty)
%            Number of variables   :   17 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq3(X,X,Y,Z) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(ifeq_axiom_001,axiom,
    ifeq2(X,X,Y,Z) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(just1,axiom,
    ifeq3(relationallexists(X,Y,Z),true,ifeq3(isa(U,Y),true,isa(f_relationallexistsfn(U,X,Y,Z),Z),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

cnf(just9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

cnf(just12,axiom,
    ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X,f_relationallexistsfn(X,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

cnf(just13,axiom,
    ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

cnf(just14,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

cnf(just34,axiom,
    ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

cnf(just63,axiom,
    ifeq3(genlmt(X,Y),true,ifeq3(mtvisible(X),true,mtvisible(Y),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).

cnf(query27,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).

cnf(query27_1,negated_conjecture,
    ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27_1) ).

cnf(goal,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(100,plain,
    mtvisible(c_tptp_member2610_mt) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[just63,just9,theory(equality)]),ifeq_axiom,query27,theory(equality)]) ).

cnf(101,plain,
    ifeq3(isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X,f_relationallexistsfn(X,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
    inference('REWRITE',[status(thm)],[just12,ifeq_axiom,100,theory(equality)]) ).

cnf(102,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
    inference('REWRITE',[status(thm)],[just13,ifeq_axiom,100,theory(equality)]) ).

cnf(146,plain,
    tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[101,just14,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(147,plain,
    ifeq3(isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[just1,102,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(296,plain,
    ifeq2(tuple2(true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))),tuple2(true,true),a,b) = b,
    inference('PARAMODULATE',[status(thm)],[query27_1,146,theory(equality)]) ).

cnf(301,plain,
    isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[147,just14,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(303,plain,
    tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[just34,301,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(304,plain,
    $false,
    inference('REWRITE',[status(thm)],[296,goal,ifeq_axiom_001,303,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% 0.14/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36  % CPULimit : 300
% 0.22/0.36  % WCLimit  : 600
% 0.22/0.36  % DateTime : Sat Jun 11 05:40:54 EDT 2022
% 0.22/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T05:40:54
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-11T05:40:54
% 0.48/0.65  
% 0.48/0.65  
% 0.48/0.65  #||
% 0.48/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;      1954 formulas have been input or derived (from 285 formulas).
% 0.48/0.65  ;       304 (16%) were retained.  Of these,
% 0.48/0.65  ;           17 ( 6%) were simplified or subsumed later,
% 0.48/0.65  ;          287 (94%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.013   9%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.002   1%   Assert                       (85 calls)
% 0.48/0.65  ;     0.030  21%   Process new row              (1,634 calls)
% 0.48/0.65  ;     0.008   6%   Resolution                   (568 calls)
% 0.48/0.65  ;     0.034  24%   Paramodulation               (284 calls)
% 0.48/0.65  ;     0.016  11%   Forward simplification       (1,634 calls)
% 0.48/0.65  ;     0.007   5%   Backward simplification      (304 calls)
% 0.48/0.65  ;     0.001   1%   Ordering                     (4,671 calls)
% 0.48/0.65  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.000   0%   Purity testing               (1 call)
% 0.48/0.65  ;     0.029  21%   Other
% 0.48/0.65  ;     0.141        Total
% 0.48/0.65  ;     0.142        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 752 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.48/0.65  ; Path-index has 743 entries (748 at peak, 785 added, 42 deleted).
% 0.48/0.65  ; Path-index has 1,755 nodes (1,787 at peak, 1,881 added, 126 deleted).
% 0.48/0.65  ; Trie-index has 743 entries (748 at peak, 785 added, 42 deleted).
% 0.48/0.65  ; Trie-index has 2,955 nodes (3,018 at peak, 3,330 added, 375 deleted).
% 0.48/0.65  ; Retrieved 2,271 generalization terms in 4,373 calls.
% 0.48/0.65  ; Retrieved 328 instance terms in 303 calls.
% 0.48/0.65  ; Retrieved 4,931 unifiable terms in 2,146 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.48/0.65  ;     1 with value 0
% 0.48/0.65  ; The agenda of rows to process has 7 entries:
% 0.48/0.65  ;     1 with value 23              2 with value 31               1 with value 37
% 0.48/0.65  ;     1 with value 30              2 with value 33
% 0.48/0.65  ; The agenda of rows to give has 3 entries:
% 0.48/0.65  ;     1 with value (4 18)          2 with value (4 28)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.143 seconds of real time
% 0.48/0.65    0.118914 seconds of user run time
% 0.48/0.65    0.02381 seconds of system run time
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    9,392,968 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T05:40:54
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------