TSTP Solution File: CSR027-10 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n004.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 : Wed Aug 30 18:57:25 EDT 2023

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   72
% Syntax   : Number of formulae    :   92 (  32 unt;  60 typ;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   66 (  34   >;  32   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   60 (  60 usr;  26 con; 0-4 aty)
%            Number of variables   :   32 (   4 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    ifeq3: ( $i * $i * $i * $i ) > $i ).

tff(decl_23,type,
    ifeq2: ( $i * $i * $i * $i ) > $i ).

tff(decl_24,type,
    ifeq: ( $i * $i * $i * $i ) > $i ).

tff(decl_25,type,
    relationallexists: ( $i * $i * $i ) > $i ).

tff(decl_26,type,
    true: $i ).

tff(decl_27,type,
    isa: ( $i * $i ) > $i ).

tff(decl_28,type,
    f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).

tff(decl_29,type,
    c_relationallexistsfn: $i ).

tff(decl_30,type,
    n_4: $i ).

tff(decl_31,type,
    resultisaarg: ( $i * $i ) > $i ).

tff(decl_32,type,
    c_calendarsmt: $i ).

tff(decl_33,type,
    c_calendarsvocabularymt: $i ).

tff(decl_34,type,
    genlmt: ( $i * $i ) > $i ).

tff(decl_35,type,
    c_genlmt: $i ).

tff(decl_36,type,
    transitivebinarypredicate: $i > $i ).

tff(decl_37,type,
    c_basekb: $i ).

tff(decl_38,type,
    c_universalvocabularymt: $i ).

tff(decl_39,type,
    c_cyclistsmt: $i ).

tff(decl_40,type,
    c_tptp_spindleheadmt: $i ).

tff(decl_41,type,
    c_tptp_spindlecollectormt: $i ).

tff(decl_42,type,
    c_tptp_member2610_mt: $i ).

tff(decl_43,type,
    c_tptp_member3993_mt: $i ).

tff(decl_44,type,
    mtvisible: $i > $i ).

tff(decl_45,type,
    c_unitvectorinterval: $i ).

tff(decl_46,type,
    c_directionoftranslation_throughout: $i ).

tff(decl_47,type,
    c_movement_translationevent: $i ).

tff(decl_48,type,
    f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    c_tptp_8_875: $i ).

tff(decl_50,type,
    c_tptpcol_16_31868: $i ).

tff(decl_51,type,
    tptp_8_875: ( $i * $i ) > $i ).

tff(decl_52,type,
    c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).

tff(decl_53,type,
    subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $i ).

tff(decl_54,type,
    genlinverse: ( $i * $i ) > $i ).

tff(decl_55,type,
    genlpreds: ( $i * $i ) > $i ).

tff(decl_56,type,
    predicate: $i > $i ).

tff(decl_57,type,
    binarypredicate: $i > $i ).

tff(decl_58,type,
    disjointwith: ( $i * $i ) > $i ).

tff(decl_59,type,
    collection: $i > $i ).

tff(decl_60,type,
    genls: ( $i * $i ) > $i ).

tff(decl_61,type,
    tptpcol_16_31868: $i > $i ).

tff(decl_62,type,
    movement_translationevent: $i > $i ).

tff(decl_63,type,
    directionoftranslation_throughout: ( $i * $i ) > $i ).

tff(decl_64,type,
    unitvectorinterval: $i > $i ).

tff(decl_65,type,
    subevents: ( $i * $i ) > $i ).

tff(decl_66,type,
    c_subcollectionofwithrelationfromtypefn: $i ).

tff(decl_67,type,
    natfunction: ( $i * $i ) > $i ).

tff(decl_68,type,
    n_1: $i ).

tff(decl_69,type,
    natargument: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    n_2: $i ).

tff(decl_71,type,
    n_3: $i ).

tff(decl_72,type,
    tptpcol_4_24578: $i > $i ).

tff(decl_73,type,
    c_transitivebinarypredicate: $i ).

tff(decl_74,type,
    thing: $i > $i ).

tff(decl_75,type,
    microtheory: $i > $i ).

tff(decl_76,type,
    positiveinteger: $i > $i ).

tff(decl_77,type,
    function_denotational: $i > $i ).

tff(decl_78,type,
    tuple: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    a: $i ).

tff(decl_80,type,
    b: $i ).

tff(decl_81,type,
    tuple2: ( $i * $i ) > $i ).

cnf(just63,axiom,
    ifeq3(genlmt(X1,X2),true,ifeq3(mtvisible(X1),true,mtvisible(X2),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

cnf(just9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

cnf(query27,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).

cnf(ifeq_axiom,axiom,
    ifeq3(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

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/sandbox2/benchmark/theBenchmark.p',just13) ).

cnf(just1,axiom,
    ifeq3(relationallexists(X1,X2,X3),true,ifeq3(isa(X4,X2),true,isa(f_relationallexistsfn(X4,X1,X2,X3),X3),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

cnf(just14,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

cnf(just12,axiom,
    ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

cnf(just34,axiom,
    ifeq3(isa(X1,c_tptpcol_16_31868),true,tptpcol_16_31868(X1),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

cnf(query27_1,negated_conjecture,
    ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1),tptpcol_16_31868(X1)),tuple2(true,true),a,b) = b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27_1) ).

cnf(ifeq_axiom_001,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(goal,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_12,axiom,
    ifeq3(genlmt(X1,X2),true,ifeq3(mtvisible(X1),true,mtvisible(X2),true),true) = true,
    just63 ).

cnf(c_0_13,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
    just9 ).

cnf(c_0_14,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    query27 ).

cnf(c_0_15,axiom,
    ifeq3(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_16,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,
    just13 ).

cnf(c_0_17,plain,
    mtvisible(c_tptp_member2610_mt) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_15]) ).

cnf(c_0_18,axiom,
    ifeq3(relationallexists(X1,X2,X3),true,ifeq3(isa(X4,X2),true,isa(f_relationallexistsfn(X4,X1,X2,X3),X3),true),true) = true,
    just1 ).

cnf(c_0_19,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).

cnf(c_0_20,plain,
    ifeq3(isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).

cnf(c_0_21,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
    just14 ).

cnf(c_0_22,axiom,
    ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
    just12 ).

cnf(c_0_23,axiom,
    ifeq3(isa(X1,c_tptpcol_16_31868),true,tptpcol_16_31868(X1),true) = true,
    just34 ).

cnf(c_0_24,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).

cnf(c_0_25,plain,
    ifeq3(isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_17]),c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1),tptpcol_16_31868(X1)),tuple2(true,true),a,b) = b,
    query27_1 ).

cnf(c_0_27,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]) ).

cnf(c_0_28,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_15]) ).

cnf(c_0_29,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    ifeq_axiom_001 ).

cnf(c_0_30,negated_conjecture,
    a != b,
    goal ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 11:33:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.024000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.028000 s
%------------------------------------------------------------------------------