TSTP Solution File: CSR027-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% 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  : 300s
% DateTime : Tue Apr 30 20:14:22 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   44 (  44 unt;   0 def)
%            Number of atoms       :   44 (  43 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq3(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : ifeq2(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [PRED,INDEPCOL,DEPCOL,TERM] : ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [TERM] : ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,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') ).

fof(f16,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') ).

fof(f17,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') ).

fof(f36,axiom,
    ! [X] : ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,axiom,
    ! [SPECMT,GENLMT] : ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,negated_conjecture,
    ! [X] : 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') ).

fof(f85,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,plain,
    ! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f87,plain,
    ! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3] : ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f97,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f100,plain,
    ! [X0] : ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f101,plain,
    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,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f102,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f121,plain,
    ! [X0] : ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f150,plain,
    ! [X0,X1] : ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f167,plain,
    mtvisible(c_tptp_spindlecollectormt) = true,
    inference(cnf_transformation,[status(esa)],[f82]) ).

fof(f169,plain,
    ! [X0] : ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b) = b,
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f170,plain,
    a != b,
    inference(cnf_transformation,[status(esa)],[f85]) ).

fof(f172,plain,
    ifeq3(true,true,ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),true) = true,
    inference(paramodulation,[status(thm)],[f97,f150]) ).

fof(f173,plain,
    ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true) = true,
    inference(forward_demodulation,[status(thm)],[f86,f172]) ).

fof(f174,plain,
    ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true) = true,
    inference(forward_demodulation,[status(thm)],[f167,f173]) ).

fof(f175,plain,
    mtvisible(c_tptp_member2610_mt) = true,
    inference(forward_demodulation,[status(thm)],[f86,f174]) ).

fof(f179,plain,
    ifeq3(true,true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
    inference(backward_demodulation,[status(thm)],[f175,f101]) ).

fof(f180,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
    inference(forward_demodulation,[status(thm)],[f86,f179]) ).

fof(f181,plain,
    ! [X0] : ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f175,f100]) ).

fof(f182,plain,
    ! [X0] : ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
    inference(forward_demodulation,[status(thm)],[f86,f181]) ).

fof(f188,plain,
    ifeq3(true,true,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) = true,
    inference(paramodulation,[status(thm)],[f102,f182]) ).

fof(f189,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(forward_demodulation,[status(thm)],[f86,f188]) ).

fof(f246,plain,
    ! [X0] : ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),true) = true,
    inference(paramodulation,[status(thm)],[f180,f89]) ).

fof(f247,plain,
    ! [X0] : ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,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(forward_demodulation,[status(thm)],[f86,f246]) ).

fof(f293,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(paramodulation,[status(thm)],[f189,f169]) ).

fof(f332,plain,
    ifeq3(true,true,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) = true,
    inference(paramodulation,[status(thm)],[f102,f247]) ).

fof(f333,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(forward_demodulation,[status(thm)],[f86,f332]) ).

fof(f627,plain,
    ifeq3(true,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)),true) = true,
    inference(paramodulation,[status(thm)],[f333,f121]) ).

fof(f628,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(forward_demodulation,[status(thm)],[f86,f627]) ).

fof(f636,plain,
    ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
    inference(backward_demodulation,[status(thm)],[f628,f293]) ).

fof(f637,plain,
    a = b,
    inference(forward_demodulation,[status(thm)],[f87,f636]) ).

fof(f638,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f637,f170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:39:50 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.028233 seconds
% 0.14/0.38  % CPU time: 0.114375 seconds
% 0.14/0.38  % Total memory used: 8.519 MB
% 0.14/0.38  % Net memory used: 8.414 MB
%------------------------------------------------------------------------------