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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n015.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 01:21:37 PM UTC 2026

% Result   : Theorem 34.69s 6.21s
% Output   : CNFRefutation 34.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  152 (   5 unt;   0 def)
%            Number of atoms       :  403 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  458 ( 207   ~; 201   |;  31   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  545 (   0 sgn 533   !;  12   ?; 189   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f53,axiom,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(f74,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( para(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(f75,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( perp(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( circle(X5,X1,X3,X2)
        & circle(X4,X0,X2,X3)
        & perp(X3,X0,X3,X1)
        & midp(X2,X1,X0) )
     => perp(X4,X3,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( circle(X5,X1,X3,X2)
          & circle(X4,X0,X2,X3)
          & perp(X3,X0,X3,X1)
          & midp(X2,X1,X0) )
       => perp(X4,X3,X3,X5) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0)
      & ~ perp(X4,X3,X3,X5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0)
      & ~ perp(X4,X3,X3,X5) ),
    inference(flattening,[],[f98]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f116]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f122]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f126]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(flattening,[],[f130]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1)
      | midp(X4,X2,X3) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1)
      | midp(X4,X2,X3) ),
    inference(flattening,[],[f144]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(flattening,[],[f146]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | para(X0,X1,X2,X3) ),
    inference(flattening,[],[f186]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X3,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X3,X4) ),
    inference(flattening,[],[f206]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f209,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f208]) ).

fof(f220,plain,
    ( circle(sK5,sK1,sK3,sK2)
    & circle(sK4,sK0,sK2,sK3)
    & perp(sK3,sK0,sK3,sK1)
    & midp(sK2,sK1,sK0)
    & ~ perp(sK4,sK3,sK3,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f99]) ).

fof(f242,plain,
    midp(sK2,sK1,sK0),
    inference(cnf_transformation,[],[f220]) ).

fof(f243,plain,
    ~ perp(sK4,sK3,sK3,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f262,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f269,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f270,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f279,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f280,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f281,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1)
      | midp(X4,X2,X3) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f299,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f308,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f317,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f318,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_49,negated_conjecture,
    ~ perp(sK4,sK3,sK3,sK5),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_50,negated_conjecture,
    midp(sK2,sK1,sK0),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f262]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X0,X2,X1,X3)
      | ~ cong(X0,X3,X2,X3)
      | ~ cong(X0,X1,X2,X1) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f267]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( midp(X4,X1,X3)
      | ~ midp(X4,X0,X2)
      | ~ para(X0,X3,X2,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X1,X3,X2,X4)
      | ~ midp(X0,X3,X4)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f308]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cong(X1,X2,X4,X5)
      | ~ cyclic(X1,X2,X0,X5)
      | ~ cyclic(X1,X2,X0,X4)
      | ~ cyclic(X1,X2,X0,X3)
      | ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
    inference(cnf_transformation,[],[f323]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X1,X2,X0,X3)
      | ~ coll(X0,X3,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_143,plain,
    ( coll(sK3,sK3,sK3)
    | ~ para(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_109]) ).

tcf(c_147,plain,
    ( eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3)
    | ~ para(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_151,plain,
    ( midp(sK3,sK3,sK3)
    | ~ coll(sK3,sK3,sK3)
    | ~ cong(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_155,plain,
    ( perp(sK3,sK3,sK3,sK3)
    | ~ cong(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_159,plain,
    ( cyclic(sK3,sK3,sK3,sK3)
    | ~ coll(sK3,sK3,sK3)
    | ~ eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_134]) ).

tcf(c_193,plain,
    ( cong(sK3,sK3,sK3,sK3)
    | ~ cyclic(sK3,sK3,sK3,sK3)
    | ~ eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_133]) ).

tcf(c_2139,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK1,X0,sK0,X1)
      | ~ midp(sK2,sK1,sK0)
      | ~ midp(sK2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_92]) ).

tcf(c_2417,plain,
    ( para(sK1,sK1,sK0,sK0)
    | ~ midp(sK2,sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_2139]) ).

tcf(c_2452,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK1,sK1,X0,X1,sK0,sK0,X0,X1)
      | ~ para(sK1,sK1,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_2455,plain,
    ( eqangle(sK1,sK1,sK3,sK3,sK0,sK0,sK3,sK3)
    | ~ para(sK1,sK1,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_2452]) ).

tcf(c_2457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X2,X3)
      | ~ para(sK1,sK1,sK0,sK0)
      | ~ eqangle(X0,X1,X2,X3,sK1,sK1,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_118]) ).

tcf(c_2458,plain,
    ( para(sK3,sK3,sK3,sK3)
    | ~ para(sK1,sK1,sK0,sK0)
    | ~ eqangle(sK3,sK3,sK3,sK3,sK1,sK1,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_2457]) ).

tcf(c_5564,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(X0,X1,sK1,sK1,X0,X1,sK0,sK0)
      | ~ eqangle(sK1,sK1,X0,X1,sK0,sK0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_5569,plain,
    ( eqangle(sK3,sK3,sK1,sK1,sK3,sK3,sK0,sK0)
    | ~ eqangle(sK1,sK1,sK3,sK3,sK0,sK0,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_5564]) ).

tcf(c_16443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X0,X1,X2,X3,sK1,sK1,sK0,sK0)
      | ~ eqangle(X0,X1,sK1,sK1,X2,X3,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_16444,plain,
    ( eqangle(sK3,sK3,sK3,sK3,sK1,sK1,sK0,sK0)
    | ~ eqangle(sK3,sK3,sK1,sK1,sK3,sK3,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17553,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X0,X1,sK3,sK5)
      | ~ cong(X0,sK5,X1,sK5)
      | ~ cong(X0,sK3,X1,sK3) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_17554,plain,
    ( perp(sK3,sK3,sK3,sK5)
    | ~ cong(sK3,sK5,sK3,sK5)
    | ~ cong(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_17553]) ).

tcf(c_22391,plain,
    ! [X0: $i] :
      ( cong(sK3,sK3,sK4,sK3)
      | ~ midp(sK3,sK3,X0)
      | ~ perp(sK3,sK4,sK4,X0) ),
    inference(instantiation,[status(thm)],[c_77]) ).

tcf(c_22392,plain,
    ( cong(sK3,sK3,sK4,sK3)
    | ~ midp(sK3,sK3,sK3)
    | ~ perp(sK3,sK4,sK4,sK3) ),
    inference(instantiation,[status(thm)],[c_22391]) ).

tcf(c_23087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X0,sK4,X0,sK5)
      | ~ perp(X1,X2,X0,sK5)
      | ~ perp(X0,sK4,X1,X2) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_23090,plain,
    ( para(sK3,sK4,sK3,sK5)
    | ~ perp(sK3,sK3,sK3,sK5)
    | ~ perp(sK3,sK4,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_23087]) ).

tcf(c_23353,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK3,sK5,X0,X1)
      | ~ perp(X0,X1,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_23354,plain,
    ( perp(sK3,sK5,sK3,sK3)
    | ~ perp(sK3,sK3,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_23353]) ).

tcf(c_23581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(sK4,sK3,sK3,sK5)
      | ~ perp(X0,X1,X2,X3)
      | ~ eqangle(sK4,sK3,sK3,sK5,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_23582,plain,
    ( perp(sK4,sK3,sK3,sK5)
    | ~ perp(sK3,sK3,sK3,sK3)
    | ~ eqangle(sK4,sK3,sK3,sK5,sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_23581]) ).

tcf(c_24656,plain,
    ! [X0: $i] :
      ( cong(X0,sK5,X0,sK5)
      | ~ midp(X0,sK5,sK5) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_24657,plain,
    ( cong(sK3,sK5,sK3,sK5)
    | ~ midp(sK3,sK5,sK5) ),
    inference(instantiation,[status(thm)],[c_24656]) ).

tcf(c_33838,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK4,sK3,sK3,sK5,X0,X1,X2,X3)
      | ~ eqangle(sK4,sK3,X0,X1,sK3,sK5,X2,X3) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_33839,plain,
    ( eqangle(sK4,sK3,sK3,sK5,sK3,sK3,sK3,sK3)
    | ~ eqangle(sK4,sK3,sK3,sK3,sK3,sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_33838]) ).

tcf(c_36256,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X0,X1,sK3,sK5,X2,X3,sK3,sK5)
      | ~ para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_36257,plain,
    ( eqangle(sK3,sK3,sK3,sK5,sK3,sK3,sK3,sK5)
    | ~ para(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_36256]) ).

tcf(c_43062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK4,sK3,X0,X1,sK3,sK5,X2,X3)
      | ~ eqangle(sK3,sK4,X0,X1,sK3,sK5,X2,X3) ),
    inference(instantiation,[status(thm)],[c_128]) ).

tcf(c_43063,plain,
    ( eqangle(sK4,sK3,sK3,sK3,sK3,sK5,sK3,sK3)
    | ~ eqangle(sK3,sK4,sK3,sK3,sK3,sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_43062]) ).

tcf(c_54294,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK4,sK3,sK3,sK5,X0,X1,X2,X3)
      | ~ eqangle(sK3,sK4,sK3,sK5,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_128]) ).

tcf(c_55012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( perp(sK4,X0,X0,X1)
      | ~ perp(X2,X3,X4,X5)
      | ~ eqangle(sK4,X0,X0,X1,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_55091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK4,sK3,X0,X1,sK3,sK5,X2,X3)
      | ~ eqangle(sK4,sK3,sK3,sK5,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_55111,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK4,sK3,sK3,sK5,X0,sK4,X0,X1)
      | ~ eqangle(sK3,sK4,sK3,sK5,X0,sK4,X0,X1) ),
    inference(instantiation,[status(thm)],[c_54294]) ).

tcf(c_55113,plain,
    ( eqangle(sK4,sK3,sK3,sK5,sK3,sK4,sK3,sK3)
    | ~ eqangle(sK3,sK4,sK3,sK5,sK3,sK4,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_55111]) ).

tcf(c_55127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK3,sK4,sK3,sK5,X2,X3,X0,X1)
      | ~ eqangle(sK3,sK5,sK3,sK4,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_55194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X0,X1,sK3,sK5,X2,X3,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,sK3,sK5,X4,X5) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_55489,plain,
    ! [X0: $i] :
      ( perp(sK3,sK4,sK4,X0)
      | ~ perp(sK4,X0,sK3,sK4) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_55490,plain,
    ( perp(sK3,sK4,sK4,sK3)
    | ~ perp(sK4,sK3,sK3,sK4) ),
    inference(instantiation,[status(thm)],[c_55489]) ).

tcf(c_56243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X2,sK5,sK5)
      | ~ midp(X2,X0,X1)
      | ~ para(X0,sK5,X1,sK5) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_56244,plain,
    ( midp(sK3,sK5,sK5)
    | ~ midp(sK3,sK3,sK3)
    | ~ para(sK3,sK5,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_56243]) ).

tcf(c_57221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(sK3,sK5,X2,X3)
      | ~ perp(sK3,sK5,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_57222,plain,
    ( para(sK3,sK5,sK3,sK3)
    | ~ perp(sK3,sK5,sK3,sK3)
    | ~ perp(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_57221]) ).

tcf(c_58355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( eqangle(X0,sK4,X1,X2,X0,sK5,X1,X2)
      | ~ para(X0,sK4,X0,sK5) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_58356,plain,
    ( eqangle(sK3,sK4,sK3,sK3,sK3,sK5,sK3,sK3)
    | ~ para(sK3,sK4,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_58355]) ).

tcf(c_58779,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK3,sK5,sK3,sK4,X0,X1,sK3,sK4)
      | ~ para(sK3,sK5,X0,X1) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_58780,plain,
    ( eqangle(sK3,sK5,sK3,sK4,sK3,sK3,sK3,sK4)
    | ~ para(sK3,sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_58779]) ).

tcf(c_59129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( perp(X0,sK4,X1,X2)
      | ~ cong(X0,X2,sK4,X2)
      | ~ cong(X0,X1,sK4,X1) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_59130,plain,
    ( perp(sK3,sK4,sK3,sK3)
    | ~ cong(sK3,sK3,sK4,sK3) ),
    inference(instantiation,[status(thm)],[c_59129]) ).

tcf(c_59920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( eqangle(X0,sK5,X0,X1,X2,sK5,X2,X1)
      | ~ eqangle(X0,X1,X0,sK5,X2,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_59921,plain,
    ( eqangle(sK3,sK5,sK3,sK3,sK3,sK5,sK3,sK3)
    | ~ eqangle(sK3,sK3,sK3,sK5,sK3,sK3,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_59920]) ).

tcf(c_60361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( eqangle(X0,sK5,sK3,sK5,X0,X1,sK3,X2)
      | ~ eqangle(X0,sK5,X0,X1,sK3,sK5,sK3,X2) ),
    inference(instantiation,[status(thm)],[c_55194]) ).

tcf(c_60363,plain,
    ( eqangle(sK3,sK5,sK3,sK5,sK3,sK3,sK3,sK3)
    | ~ eqangle(sK3,sK5,sK3,sK3,sK3,sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_60361]) ).

tcf(c_67190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,sK5,X1,sK5)
      | ~ para(X2,X3,X4,X5)
      | ~ eqangle(X0,sK5,X1,sK5,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_118]) ).

tcf(c_67191,plain,
    ( para(sK3,sK5,sK3,sK5)
    | ~ para(sK3,sK3,sK3,sK3)
    | ~ eqangle(sK3,sK5,sK3,sK5,sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_67190]) ).

tcf(c_70971,plain,
    ( eqangle(sK3,sK4,sK3,sK5,sK3,sK4,sK3,sK3)
    | ~ eqangle(sK3,sK5,sK3,sK4,sK3,sK3,sK3,sK4) ),
    inference(instantiation,[status(thm)],[c_55127]) ).

tcf(c_73765,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK4,sK3,X0,sK4,sK3,sK5,X0,X1)
      | ~ eqangle(sK4,sK3,sK3,sK5,X0,sK4,X0,X1) ),
    inference(instantiation,[status(thm)],[c_55091]) ).

tcf(c_73772,plain,
    ( eqangle(sK4,sK3,sK3,sK4,sK3,sK5,sK3,sK3)
    | ~ eqangle(sK4,sK3,sK3,sK5,sK3,sK4,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_73765]) ).

tcf(c_83741,plain,
    ! [X0: $i] :
      ( perp(sK4,sK3,sK3,sK4)
      | ~ perp(sK3,sK5,sK3,X0)
      | ~ eqangle(sK4,sK3,sK3,sK4,sK3,sK5,sK3,X0) ),
    inference(instantiation,[status(thm)],[c_55012]) ).

tcf(c_83742,plain,
    ( perp(sK4,sK3,sK3,sK4)
    | ~ perp(sK3,sK5,sK3,sK3)
    | ~ eqangle(sK4,sK3,sK3,sK4,sK3,sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_83741]) ).

tcf(c_83743,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_83742,c_73772,c_70971,c_67191,c_60363,c_59921,c_59130,c_58780,c_58356,c_57222,c_56244,c_55490,c_55113,c_43063,c_36257,c_33839,c_24657,c_23582,c_23354,c_23090,c_22392,c_17554,c_16444,c_5569,c_2458,c_2455,c_2417,c_193,c_159,c_155,c_151,c_147,c_143,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n015.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Wed Sep 23 12:35:40 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 34.69/6.21  % SZS status Started for theBenchmark.p
% 34.69/6.21  % SZS status Theorem for theBenchmark.p
% 34.69/6.21  
% 34.69/6.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 34.69/6.21  
% 34.69/6.21  % ------  iProver source info
% 34.69/6.21  
% 34.69/6.21  % git: date: 2026-07-19 20:42:38 +0200
% 34.69/6.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 34.69/6.21  % git: non_committed_changes: false
% 34.69/6.21  
% 34.69/6.21  % ------ Parsing...
% 34.69/6.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 34.69/6.21  
% 34.69/6.21  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 34.69/6.21  
% 34.69/6.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 34.69/6.21  % ------ Proving...
% 34.69/6.21  % ------ Problem Properties 
% 34.69/6.21  
% 34.69/6.21  % 
% 34.69/6.21  % clauses                               92
% 34.69/6.21  % conjectures                           5
% 34.69/6.21  % EPR                                   59
% 34.69/6.21  % Horn                                  87
% 34.69/6.21  % unary                                 5
% 34.69/6.21  % binary                                24
% 34.69/6.21  % lits                                  261
% 34.69/6.21  % lits eq                               0
% 34.69/6.21  % fd_pure                               0
% 34.69/6.21  % fd_pseudo                             0
% 34.69/6.21  % fd_cond                               0
% 34.69/6.21  % fd_pseudo_cond                        0
% 34.69/6.21  % AC symbols                            0
% 34.69/6.21  
% 34.69/6.21  % ------ Schedule dynamic 5 is on 
% 34.69/6.21  
% 34.69/6.21  % ------ no equalities: superposition off 
% 34.69/6.21  
% 34.69/6.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 34.69/6.21  
% 34.69/6.21  
% 34.69/6.21  % ------ 
% 34.69/6.21  % Current options:
% 34.69/6.21  % ------ 
% 34.69/6.21  
% 34.69/6.21  
% 34.69/6.21  % 
% 34.69/6.21  
% 34.69/6.21  % ------ Proving...
% 34.69/6.21  % 
% 34.69/6.21  
% 34.69/6.21  % SZS status Theorem for theBenchmark.p
% 34.69/6.21  
% 34.69/6.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.69/6.21  
% 34.69/6.21  
%------------------------------------------------------------------------------