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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR073+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:05:45 PM UTC 2026

% Result   : Theorem 97.05s 13.18s
% Output   : Proof 97.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  100 (  48 unt;   0 def)
%            Number of atoms       :  160 (  30 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  144 (  84   ~;  42   |;  10   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :  111 (   5 sgn  65   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1131,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query123) ).

fof(f1131_neg,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    inference(negated_conjecture,[status(cth)],[f1131]) ).

fof(f1131_nnf,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(nnf_transformation,[status(thm)],[f1131_neg]) ).

fof(f1131_sk,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(skolemisation,[status(esa)],[f1131_nnf]) ).

cnf(c1132,plain,
    ~ tptptypes_5_387(X0,c_pushingababycarriage),
    inference(cnf_transformation,[status(esa)],[f1131_sk]) ).

cnf(t62,plain,
    ifeq(tptptypes_5_387(X1,c_pushingababycarriage),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c1132]) ).

cnf(t228,plain,
    ifeq(tptptypes_5_387(X1,c_pushingababycarriage),true,false,true) = true,
    inference(orient,[status(thm)],[t62]) ).

fof(f98,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_99) ).

fof(f98_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f98]) ).

fof(f98_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f98_nnf]) ).

cnf(c98,plain,
    ( tptptypes_5_387(X0,X1)
    | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f98_sk]) ).

cnf(t123,plain,
    ifeq(tptptypes_6_388(X1,X2),true,tptptypes_5_387(X1,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c98]) ).

cnf(t217,plain,
    ifeq(tptptypes_6_388(X1,X2),true,tptptypes_5_387(X1,X2),true) = true,
    inference(orient,[status(thm)],[t123]) ).

fof(f408,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
     => tptptypes_6_388(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_409) ).

fof(f408_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
      | ~ tptptypes_7_396(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f408]) ).

fof(f408_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
      | ~ tptptypes_7_396(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f408_nnf]) ).

cnf(c408,plain,
    ( tptptypes_6_388(X0,X1)
    | ~ tptptypes_7_396(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f408_sk]) ).

cnf(t125,plain,
    ifeq(tptptypes_7_396(X1,X2),true,tptptypes_6_388(X1,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c408]) ).

cnf(t214,plain,
    ifeq(tptptypes_7_396(X1,X2),true,tptptypes_6_388(X1,X2),true) = true,
    inference(orient,[status(thm)],[t125]) ).

fof(f1122,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).

fof(f1122_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f1122]) ).

fof(f1122_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f1122_nnf]) ).

cnf(c1122,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f1122_sk]) ).

cnf(hi1113,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c1122]) ).

cnf(c1131,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f1131_sk]) ).

cnf(hi1122,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    inference(equality_encoding,[status(esa)],[c1131]) ).

fof(f197,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_198) ).

fof(f197_nnf,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(nnf_transformation,[status(thm)],[f197]) ).

cnf(c197,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(cnf_transformation,[status(esa)],[f197_nnf]) ).

cnf(hi194,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt) = true,
    inference(equality_encoding,[status(esa)],[c197]) ).

cnf(h302,plain,
    mtvisible(c_tptp_member237_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi194]) ).

fof(f156,axiom,
    ( mtvisible(c_tptp_member237_mt)
   => tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_157) ).

fof(f156_nnf,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(nnf_transformation,[status(thm)],[f156]) ).

fof(f156_sk,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(skolemisation,[status(esa)],[f156_nnf]) ).

cnf(c156,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(cnf_transformation,[status(esa)],[f156_sk]) ).

cnf(hi154,axiom,
    ifeq(mtvisible(c_tptp_member237_mt),true,tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),true) = true,
    inference(equality_encoding,[status(esa)],[c156]) ).

cnf(h1348,plain,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) = true,
    inference(hyper_resolution,[status(thm)],[hi154,h302]) ).

fof(f107,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_401(ARG1,ARG2)
     => tptptypes_8_400(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_108) ).

fof(f107_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG2,ARG1)
      | ~ tptptypes_9_401(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f107]) ).

fof(f107_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG2,ARG1)
      | ~ tptptypes_9_401(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f107_nnf]) ).

cnf(c107,plain,
    ( tptptypes_8_400(X1,X0)
    | ~ tptptypes_9_401(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f107_sk]) ).

cnf(hi106,axiom,
    ifeq(tptptypes_9_401(X0,X1),true,tptptypes_8_400(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c107]) ).

cnf(h3421,plain,
    tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi106,h1348]) ).

fof(f173,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG1,ARG2)
     => tptptypes_7_396(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_174) ).

fof(f173_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
      | ~ tptptypes_8_400(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f173]) ).

fof(f173_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
      | ~ tptptypes_8_400(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f173_nnf]) ).

cnf(c173,plain,
    ( tptptypes_7_396(X0,X1)
    | ~ tptptypes_8_400(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f173_sk]) ).

cnf(hi170,axiom,
    ifeq(tptptypes_8_400(X0,X1),true,tptptypes_7_396(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c173]) ).

cnf(t47,plain,
    tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi170,h3421]) ).

cnf(t648,plain,
    tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(orient,[status(thm)],[t47]) ).

cnf(t650,plain,
    true = ifeq(true,true,tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage),true),
    inference(cp,[status(thm)],[t214,t648]) ).

cnf(t51,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t158,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t51]) ).

cnf(t1105,plain,
    true = tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage),
    inference(step,[status(thm)],[t650,t158]) ).

cnf(t895,plain,
    tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(orient,[status(thm)],[t1105]) ).

cnf(t897,plain,
    true = ifeq(true,true,tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage),true),
    inference(cp,[status(thm)],[t217,t895]) ).

cnf(t1128,plain,
    true = tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage),
    inference(step,[status(thm)],[t897,t158]) ).

cnf(t1070,plain,
    tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(orient,[status(thm)],[t1128]) ).

cnf(t1071,plain,
    true = ifeq(true,true,false,true),
    inference(cp,[status(thm)],[t228,t1070]) ).

cnf(t1129,plain,
    true = false,
    inference(step,[status(thm)],[t1071,t158]) ).

cnf(t1072,plain,
    false = true,
    inference(orient,[status(thm)],[t1129]) ).

fof(f2,axiom,
    ! [OBJ] :
      ~ ( partiallytangible(OBJ)
        & intangible(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_3) ).

fof(f2_nnf,plain,
    ! [OBJ] :
      ( ~ partiallytangible(OBJ)
      | ~ intangible(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [OBJ] :
      ( ~ partiallytangible(OBJ)
      | ~ intangible(OBJ) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( ~ partiallytangible(X0)
    | ~ intangible(X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f152,axiom,
    ! [OBJ] :
      ~ ( tptpcol_1_65536(OBJ)
        & tptpcol_1_1(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_153) ).

fof(f152_nnf,plain,
    ! [OBJ] :
      ( ~ tptpcol_1_65536(OBJ)
      | ~ tptpcol_1_1(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f152]) ).

fof(f152_sk,plain,
    ! [OBJ] :
      ( ~ tptpcol_1_65536(OBJ)
      | ~ tptpcol_1_1(OBJ) ),
    inference(skolemisation,[status(esa)],[f152_nnf]) ).

cnf(c152,plain,
    ( ~ tptpcol_1_65536(X0)
    | ~ tptpcol_1_1(X0) ),
    inference(cnf_transformation,[status(esa)],[f152_sk]) ).

fof(f166,axiom,
    ! [OBJ] :
      ~ ( setorcollection(OBJ)
        & individual(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_167) ).

fof(f166_nnf,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f166]) ).

fof(f166_sk,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(skolemisation,[status(esa)],[f166_nnf]) ).

cnf(c166,plain,
    ( ~ setorcollection(X0)
    | ~ individual(X0) ),
    inference(cnf_transformation,[status(esa)],[f166_sk]) ).

fof(f288,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_289) ).

fof(f288_nnf,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f288]) ).

fof(f288_sk,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(skolemisation,[status(esa)],[f288_nnf]) ).

cnf(c288,plain,
    ( ~ individual(X0)
    | ~ collection(X0) ),
    inference(cnf_transformation,[status(esa)],[f288_sk]) ).

fof(f362,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_363) ).

fof(f362_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f362]) ).

fof(f362_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f362_nnf]) ).

cnf(c362,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f362_sk]) ).

fof(f487,axiom,
    ! [OBJ] :
      ~ ( tptpcol_3_114688(OBJ)
        & tptpcol_3_98305(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_488) ).

fof(f487_nnf,plain,
    ! [OBJ] :
      ( ~ tptpcol_3_114688(OBJ)
      | ~ tptpcol_3_98305(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f487]) ).

fof(f487_sk,plain,
    ! [OBJ] :
      ( ~ tptpcol_3_114688(OBJ)
      | ~ tptpcol_3_98305(OBJ) ),
    inference(skolemisation,[status(esa)],[f487_nnf]) ).

cnf(c487,plain,
    ( ~ tptpcol_3_114688(X0)
    | ~ tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[status(esa)],[f487_sk]) ).

fof(f520,axiom,
    ! [X] : ~ affiliatedwith(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_521) ).

fof(f520_nnf,plain,
    ! [X] : ~ affiliatedwith(X,X),
    inference(nnf_transformation,[status(thm)],[f520]) ).

fof(f520_sk,plain,
    ! [X] : ~ affiliatedwith(X,X),
    inference(skolemisation,[status(esa)],[f520_nnf]) ).

cnf(c520,plain,
    ~ affiliatedwith(X0,X0),
    inference(cnf_transformation,[status(esa)],[f520_sk]) ).

fof(f697,axiom,
    ! [X] : ~ objectfoundinlocation(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_698) ).

fof(f697_nnf,plain,
    ! [X] : ~ objectfoundinlocation(X,X),
    inference(nnf_transformation,[status(thm)],[f697]) ).

fof(f697_sk,plain,
    ! [X] : ~ objectfoundinlocation(X,X),
    inference(skolemisation,[status(esa)],[f697_nnf]) ).

cnf(c697,plain,
    ~ objectfoundinlocation(X0,X0),
    inference(cnf_transformation,[status(esa)],[f697_sk]) ).

fof(f900,axiom,
    ! [X] : ~ borderson(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_901) ).

fof(f900_nnf,plain,
    ! [X] : ~ borderson(X,X),
    inference(nnf_transformation,[status(thm)],[f900]) ).

fof(f900_sk,plain,
    ! [X] : ~ borderson(X,X),
    inference(skolemisation,[status(esa)],[f900_nnf]) ).

cnf(c900,plain,
    ~ borderson(X0,X0),
    inference(cnf_transformation,[status(esa)],[f900_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c2,c152,c166,c288,c362,c487,c520,c697,c900,c1132]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t1072]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR073+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.39  % Computer : n026.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Fri Sep 25 09:00:25 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 97.05/13.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 97.05/13.18  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------