TSTP Solution File: GEO295+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:34:48 EDT 2023

% Result   : Theorem 799.56s 101.06s
% Output   : CNFRefutation 799.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   76 (  54 unt;   0 def)
%            Number of atoms       :  353 ( 140 equ)
%            Maximal formula atoms :   70 (   4 avg)
%            Number of connectives :  444 ( 167   ~; 167   |; 103   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-3 aty)
%            Number of variables   :  115 (   0 sgn;  49   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X29,X30,X31,X32] :
      ( ( rS(X29,X30,X31)
        & X31 = X32
        & rline(X32)
        & ? [X33] :
            ( X30 = X33
            & rpoint(X33) )
        & ? [X34] :
            ( X29 = X34
            & rpoint(X34) ) )
     => ~ ron(X29,X31) ),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
    ! [X357,X358,X359,X360] :
      ( ( rS(X357,X358,X359)
        & X359 = X360
        & rline(X360)
        & ? [X361] :
            ( X358 = X361
            & rpoint(X361) )
        & ? [X362] :
            ( X357 = X362
            & rpoint(X362) ) )
     => rS(X358,X357,X359) ),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).

fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
    ( ~ ? [X14] :
          ( ron(vd1187,X14)
          & ron(vd1186,X14)
          & ron(vd1185,X14)
          & rline(X14) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X15] :
        ( vd1187 = X15
        & rpoint(X15) )
    & ? [X16] :
        ( vd1186 = X16
        & rpoint(X16) )
    & ? [X17] :
        ( vd1185 = X17
        & rpoint(X17) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X18] :
        ( vd1180 = X18
        & rpoint(X18) )
    & ? [X19] :
        ( vd1179 = X19
        & rpoint(X19) )
    & ? [X20] :
        ( vd1178 = X20
        & rpoint(X20) ) ),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))',axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( X5 != X6
        & ~ ron(X4,X6)
        & ~ ron(X4,X5)
        & X1 != X3
        & X1 != X2
        & ron(X3,X6)
        & ron(X2,X5)
        & ron(X1,X6)
        & ron(X1,X5)
        & ? [X7] :
            ( X6 = X7
            & rline(X7) )
        & ? [X8] :
            ( X5 = X8
            & rline(X8) )
        & ? [X9] :
            ( X4 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X3 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X2 = X11
            & rpoint(X11) )
        & ? [X12] :
            ( X1 = X12
            & rpoint(X12) ) )
     => ( vangle(X2,X1,X3) = vplus(vangle(X2,X1,X4),vangle(X4,X1,X3))
      <=> ( rS(X3,X4,X5)
          & rS(X2,X4,X6) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).

fof('holds(306, 1242, 0)',axiom,
    rS(vd1200,vd1187,vd1234),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(306, 1242, 0)') ).

fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
    vd1200 = vd1186,
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof('pred(294, 0)',axiom,
    rline(vd1234),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(294, 0)') ).

fof('qe(s3(plural(271)))',axiom,
    ? [X13] :
      ( vd1201 = X13
      & rpoint(X13) ),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','qe(s3(plural(271)))') ).

fof('neg(neg(270))',axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','neg(neg(270))') ).

fof('holds(307, 1243, 0)',conjecture,
    vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(307, 1243, 0)') ).

fof('holds(292, 1231, 0)',axiom,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(292, 1231, 0)') ).

fof('holds(291, 1230, 0)',axiom,
    vd1199 = vd1185,
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(291, 1230, 0)') ).

fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof('pred(269, 0)',axiom,
    rline(vd1197),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(269, 0)') ).

fof('pred(s2(plural(269)), 0)',axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(s2(plural(269)), 0)') ).

fof('pred(s2(plural(294)), 0)',axiom,
    ron(vd1201,vd1234),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(s2(plural(294)), 0)') ).

fof('pred(s1(plural(294)), 0)',axiom,
    ron(vd1185,vd1234),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(s1(plural(294)), 0)') ).

fof('pred(s3(plural(274)), 0)',axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(s3(plural(274)), 0)') ).

fof('neg(neg(296))',axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','neg(neg(296))') ).

fof('pred(s1(plural(293)), 0)',axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p','pred(s1(plural(293)), 0)') ).

fof(c_0_20,plain,
    ! [X29,X30,X31,X32] :
      ( ( rS(X29,X30,X31)
        & X31 = X32
        & rline(X32)
        & ? [X33] :
            ( X30 = X33
            & rpoint(X33) )
        & ? [X34] :
            ( X29 = X34
            & rpoint(X34) ) )
     => ~ ron(X29,X31) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).

fof(c_0_21,plain,
    ! [X1133,X1134,X1135,X1136,X1137,X1138] :
      ( ~ rS(X1133,X1134,X1135)
      | X1135 != X1136
      | ~ rline(X1136)
      | X1134 != X1137
      | ~ rpoint(X1137)
      | X1133 != X1138
      | ~ rpoint(X1138)
      | rS(X1134,X1133,X1135) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])]) ).

fof(c_0_22,plain,
    ! [X768] :
      ( ( ~ ron(vd1187,X768)
        | ~ ron(vd1186,X768)
        | ~ ron(vd1185,X768)
        | ~ rline(X768) )
      & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
      & vf(vd1178,vd1180) = vf(vd1185,vd1187)
      & vf(vd1178,vd1179) = vf(vd1185,vd1186)
      & vd1187 = esk2_0
      & rpoint(esk2_0)
      & vd1186 = esk3_0
      & rpoint(esk3_0)
      & vd1185 = esk4_0
      & rpoint(esk4_0)
      & vd1179 != vd1180
      & vd1178 != vd1180
      & vd1178 != vd1179
      & vd1180 = esk5_0
      & rpoint(esk5_0)
      & vd1179 = esk6_0
      & rpoint(esk6_0)
      & vd1178 = esk7_0
      & rpoint(esk7_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])]) ).

fof(c_0_23,plain,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( X5 != X6
        & ~ ron(X4,X6)
        & ~ ron(X4,X5)
        & X1 != X3
        & X1 != X2
        & ron(X3,X6)
        & ron(X2,X5)
        & ron(X1,X6)
        & ron(X1,X5)
        & ? [X7] :
            ( X6 = X7
            & rline(X7) )
        & ? [X8] :
            ( X5 = X8
            & rline(X8) )
        & ? [X9] :
            ( X4 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X3 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X2 = X11
            & rpoint(X11) )
        & ? [X12] :
            ( X1 = X12
            & rpoint(X12) ) )
     => ( vangle(X2,X1,X3) = vplus(vangle(X2,X1,X4),vangle(X4,X1,X3))
      <=> ( rS(X3,X4,X5)
          & rS(X2,X4,X6) ) ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))']) ).

fof(c_0_24,plain,
    ! [X783,X784,X785,X786,X787,X788] :
      ( ~ rS(X783,X784,X785)
      | X785 != X786
      | ~ rline(X786)
      | X784 != X787
      | ~ rpoint(X787)
      | X783 != X788
      | ~ rpoint(X788)
      | ~ ron(X783,X785) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

cnf(c_0_25,plain,
    ( rS(X2,X1,X3)
    | ~ rS(X1,X2,X3)
    | X3 != X4
    | ~ rline(X4)
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    rS(vd1200,vd1187,vd1234),
    inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']) ).

cnf(c_0_27,plain,
    vd1200 = vd1186,
    inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).

cnf(c_0_28,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    vd1186 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    vd1187 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_32,plain,
    ! [X755,X756,X757,X758,X759,X760,X761,X762,X763,X764,X765,X766] :
      ( ( rS(X757,X758,X759)
        | vangle(X756,X755,X757) != vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
        | X759 = X760
        | ron(X758,X760)
        | ron(X758,X759)
        | X755 = X757
        | X755 = X756
        | ~ ron(X757,X760)
        | ~ ron(X756,X759)
        | ~ ron(X755,X760)
        | ~ ron(X755,X759)
        | X760 != X761
        | ~ rline(X761)
        | X759 != X762
        | ~ rline(X762)
        | X758 != X763
        | ~ rpoint(X763)
        | X757 != X764
        | ~ rpoint(X764)
        | X756 != X765
        | ~ rpoint(X765)
        | X755 != X766
        | ~ rpoint(X766) )
      & ( rS(X756,X758,X760)
        | vangle(X756,X755,X757) != vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
        | X759 = X760
        | ron(X758,X760)
        | ron(X758,X759)
        | X755 = X757
        | X755 = X756
        | ~ ron(X757,X760)
        | ~ ron(X756,X759)
        | ~ ron(X755,X760)
        | ~ ron(X755,X759)
        | X760 != X761
        | ~ rline(X761)
        | X759 != X762
        | ~ rline(X762)
        | X758 != X763
        | ~ rpoint(X763)
        | X757 != X764
        | ~ rpoint(X764)
        | X756 != X765
        | ~ rpoint(X765)
        | X755 != X766
        | ~ rpoint(X766) )
      & ( ~ rS(X757,X758,X759)
        | ~ rS(X756,X758,X760)
        | vangle(X756,X755,X757) = vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
        | X759 = X760
        | ron(X758,X760)
        | ron(X758,X759)
        | X755 = X757
        | X755 = X756
        | ~ ron(X757,X760)
        | ~ ron(X756,X759)
        | ~ ron(X755,X760)
        | ~ ron(X755,X759)
        | X760 != X761
        | ~ rline(X761)
        | X759 != X762
        | ~ rline(X762)
        | X758 != X763
        | ~ rpoint(X763)
        | X757 != X764
        | ~ rpoint(X764)
        | X756 != X765
        | ~ rpoint(X765)
        | X755 != X766
        | ~ rpoint(X766) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

cnf(c_0_33,plain,
    ( ~ rS(X1,X2,X3)
    | X3 != X4
    | ~ rline(X4)
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | ~ ron(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( rS(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rline(X3)
    | ~ rS(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])]) ).

cnf(c_0_35,plain,
    rS(vd1186,vd1187,vd1234),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,plain,
    rline(vd1234),
    inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).

cnf(c_0_39,plain,
    ( vangle(X4,X6,X1) = vplus(vangle(X4,X6,X2),vangle(X2,X6,X1))
    | X3 = X5
    | ron(X2,X5)
    | ron(X2,X3)
    | X6 = X1
    | X6 = X4
    | ~ rS(X1,X2,X3)
    | ~ rS(X4,X2,X5)
    | ~ ron(X1,X5)
    | ~ ron(X4,X3)
    | ~ ron(X6,X5)
    | ~ ron(X6,X3)
    | X5 != X7
    | ~ rline(X7)
    | X3 != X8
    | ~ rline(X8)
    | X2 != X9
    | ~ rpoint(X9)
    | X1 != X10
    | ~ rpoint(X10)
    | X4 != X11
    | ~ rpoint(X11)
    | X6 != X12
    | ~ rpoint(X12) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X1,X3)
    | ~ rS(X1,X2,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])])]) ).

cnf(c_0_41,plain,
    rS(vd1187,vd1186,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).

fof(c_0_42,plain,
    ( vd1201 = esk1_0
    & rpoint(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).

cnf(c_0_43,plain,
    ( vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4)
    | X1 = X2
    | X5 = X6
    | X4 = X2
    | ron(X3,X6)
    | ron(X3,X5)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rline(X5)
    | ~ rline(X6)
    | ~ ron(X2,X6)
    | ~ ron(X2,X5)
    | ~ ron(X1,X5)
    | ~ ron(X4,X6)
    | ~ rS(X1,X3,X6)
    | ~ rS(X4,X3,X5) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])])])])])]) ).

cnf(c_0_44,plain,
    ~ ron(vd1187,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37]),c_0_36]),c_0_38])]) ).

cnf(c_0_45,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    vd1201 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_47,plain,
    ~ ron(vd1187,vd1197),
    inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).

fof(c_0_48,negated_conjecture,
    vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(307, 1243, 0)'])]) ).

cnf(c_0_49,plain,
    vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
    inference(split_conjunct,[status(thm)],['holds(292, 1231, 0)']) ).

cnf(c_0_50,plain,
    vd1199 = vd1185,
    inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).

cnf(c_0_51,plain,
    ( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,X2)) = vangle(vd1186,X1,X2)
    | vd1186 = X1
    | X3 = vd1234
    | X2 = X1
    | ron(vd1187,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3)
    | ~ ron(X1,vd1234)
    | ~ ron(vd1186,X3)
    | ~ ron(X2,vd1234)
    | ~ ron(X1,X3)
    | ~ rS(X2,vd1187,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_44]) ).

cnf(c_0_52,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).

cnf(c_0_53,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).

cnf(c_0_55,plain,
    ron(vd1186,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).

cnf(c_0_56,plain,
    ron(vd1201,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']) ).

cnf(c_0_57,plain,
    ~ ron(vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_58,plain,
    rpoint(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_59,plain,
    vd1185 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_60,negated_conjecture,
    vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_61,plain,
    vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_27]),c_0_50]) ).

cnf(c_0_62,plain,
    ( vplus(vangle(vd1186,X1,vd1187),vangle(vd1187,X1,vd1201)) = vangle(vd1186,X1,vd1201)
    | vd1234 = vd1197
    | vd1201 = X1
    | vd1186 = X1
    | ~ rpoint(X1)
    | ~ ron(X1,vd1234)
    | ~ ron(X1,vd1197) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_63,plain,
    ron(vd1185,vd1234),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).

cnf(c_0_64,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).

cnf(c_0_66,negated_conjecture,
    vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) != vangle(vd1186,vd1185,vd1201),
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_67,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).

cnf(c_0_68,plain,
    ( vd1186 = vd1185
    | vd1201 = vd1185
    | vd1234 = vd1197 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61]),c_0_64]),c_0_65])]),c_0_66]) ).

cnf(c_0_69,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_53]),c_0_37]),c_0_54])]) ).

cnf(c_0_70,plain,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_71,plain,
    ( vd1201 = vd1185
    | vd1186 = vd1185 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_68]),c_0_69]) ).

cnf(c_0_72,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).

cnf(c_0_73,plain,
    ~ ron(vd1186,vd1234),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_74,plain,
    vd1186 = vd1185,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).

cnf(c_0_75,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_63])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n008.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 06:13:12 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.42  Running first-order model finding
% 0.14/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.GI71vMtU4t/E---3.1_27970.p
% 799.56/101.06  # Version: 3.1pre001
% 799.56/101.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 799.56/101.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 799.56/101.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 799.56/101.06  # Starting new_bool_3 with 300s (1) cores
% 799.56/101.06  # Starting new_bool_1 with 300s (1) cores
% 799.56/101.06  # Starting sh5l with 300s (1) cores
% 799.56/101.06  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 28047 completed with status 0
% 799.56/101.06  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 799.56/101.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 799.56/101.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 799.56/101.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 799.56/101.06  # No SInE strategy applied
% 799.56/101.06  # Search class: FGHSF-FSLM33-SFFFFFNN
% 799.56/101.06  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 799.56/101.06  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 799.56/101.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 799.56/101.06  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 799.56/101.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 799.56/101.06  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 799.56/101.06  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 28057 completed with status 0
% 799.56/101.06  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 799.56/101.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 799.56/101.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 799.56/101.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 799.56/101.06  # No SInE strategy applied
% 799.56/101.06  # Search class: FGHSF-FSLM33-SFFFFFNN
% 799.56/101.06  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 799.56/101.06  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 799.56/101.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 799.56/101.06  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 799.56/101.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 799.56/101.06  # Preprocessing time       : 0.017 s
% 799.56/101.06  # Presaturation interreduction done
% 799.56/101.06  
% 799.56/101.06  # Proof found!
% 799.56/101.06  # SZS status Theorem
% 799.56/101.06  # SZS output start CNFRefutation
% See solution above
% 799.56/101.06  # Parsed axioms                        : 150
% 799.56/101.06  # Removed by relevancy pruning/SinE    : 0
% 799.56/101.06  # Initial clauses                      : 317
% 799.56/101.06  # Removed in clause preprocessing      : 2
% 799.56/101.06  # Initial clauses in saturation        : 315
% 799.56/101.06  # Processed clauses                    : 46912
% 799.56/101.06  # ...of these trivial                  : 1565
% 799.56/101.06  # ...subsumed                          : 20492
% 799.56/101.06  # ...remaining for further processing  : 24855
% 799.56/101.06  # Other redundant clauses eliminated   : 1127
% 799.56/101.06  # Clauses deleted for lack of memory   : 30262
% 799.56/101.06  # Backward-subsumed                    : 1792
% 799.56/101.06  # Backward-rewritten                   : 4415
% 799.56/101.06  # Generated clauses                    : 1836092
% 799.56/101.06  # ...of the previous two non-redundant : 1601439
% 799.56/101.06  # ...aggressively subsumed             : 0
% 799.56/101.06  # Contextual simplify-reflections      : 1334
% 799.56/101.06  # Paramodulations                      : 1834597
% 799.56/101.06  # Factorizations                       : 1224
% 799.56/101.06  # NegExts                              : 0
% 799.56/101.06  # Equation resolutions                 : 1146
% 799.56/101.06  # Total rewrite steps                  : 3360951
% 799.56/101.06  # Propositional unsat checks           : 4
% 799.56/101.06  #    Propositional check models        : 0
% 799.56/101.06  #    Propositional check unsatisfiable : 0
% 799.56/101.06  #    Propositional clauses             : 0
% 799.56/101.06  #    Propositional clauses after purity: 0
% 799.56/101.06  #    Propositional unsat core size     : 0
% 799.56/101.06  #    Propositional preprocessing time  : 0.000
% 799.56/101.06  #    Propositional encoding time       : 4.100
% 799.56/101.06  #    Propositional solver time         : 2.662
% 799.56/101.06  #    Success case prop preproc time    : 0.000
% 799.56/101.06  #    Success case prop encoding time   : 0.000
% 799.56/101.06  #    Success case prop solver time     : 0.000
% 799.56/101.06  # Current number of processed clauses  : 18103
% 799.56/101.06  #    Positive orientable unit clauses  : 3055
% 799.56/101.06  #    Positive unorientable unit clauses: 0
% 799.56/101.06  #    Negative unit clauses             : 355
% 799.56/101.06  #    Non-unit-clauses                  : 14693
% 799.56/101.06  # Current number of unprocessed clauses: 822088
% 799.56/101.06  # ...number of literals in the above   : 5522331
% 799.56/101.06  # Current number of archived formulas  : 0
% 799.56/101.06  # Current number of archived clauses   : 6506
% 799.56/101.06  # Clause-clause subsumption calls (NU) : 53810946
% 799.56/101.06  # Rec. Clause-clause subsumption calls : 10821252
% 799.56/101.06  # Non-unit clause-clause subsumptions  : 21844
% 799.56/101.06  # Unit Clause-clause subsumption calls : 1407550
% 799.56/101.06  # Rewrite failures with RHS unbound    : 0
% 799.56/101.06  # BW rewrite match attempts            : 207407
% 799.56/101.06  # BW rewrite match successes           : 357
% 799.56/101.06  # Condensation attempts                : 0
% 799.56/101.06  # Condensation successes               : 0
% 799.56/101.06  # Termbank termtop insertions          : 135761122
% 799.56/101.06  
% 799.56/101.06  # -------------------------------------------------
% 799.56/101.06  # User time                : 97.936 s
% 799.56/101.06  # System time              : 1.818 s
% 799.56/101.06  # Total time               : 99.754 s
% 799.56/101.06  # Maximum resident set size: 4456 pages
% 799.56/101.06  
% 799.56/101.06  # -------------------------------------------------
% 799.56/101.06  # User time                : 494.916 s
% 799.56/101.06  # System time              : 5.037 s
% 799.56/101.06  # Total time               : 499.953 s
% 799.56/101.06  # Maximum resident set size: 2552 pages
% 799.56/101.06  % E---3.1 exiting
%------------------------------------------------------------------------------