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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO076-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.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 01:19:47 PM UTC 2026

% Result   : Unsatisfiable 1.60s 1.93s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   78 (   9 unt;   0 def)
%            Number of atoms       :  257 (  99 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  309 ( 130   ~; 179   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn  75   !;   0   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ point(X1)
      | ~ point(X0)
      | X0 = X1
      | on(X0,line_from_to(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G1A) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ point(X0)
      | ~ point(X1)
      | X1 = X0
      | on(X0,line_from_to(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G1B) ).

fof(f3,plain,
    ! [X0,X1] :
      ( ~ point(X0)
      | ~ point(X1)
      | X0 = X1
      | on(X0,line_from_to(X1,X0)) ),
    inference(reorient_equations,[],[f2]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ point(X1)
      | ~ point(X0)
      | X0 = X1
      | line(line_from_to(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G1C) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ line(X3)
      | ~ line(X1)
      | ~ point(X2)
      | ~ point(X0)
      | ~ on(X2,X3)
      | ~ on(X0,X3)
      | X1 = X3
      | ~ on(X2,X1)
      | X0 = X2
      | ~ on(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G1D) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ line(X0)
      | on(point_1_on_line(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G2A) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ line(X0)
      | on(point_2_on_line(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G2B) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ line(X0)
      | point(point_1_on_line(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G2C) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ line(X0)
      | point(point_2_on_line(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G2D) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ line(X0)
      | point_1_on_line(X0) != point_2_on_line(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G2E) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ line(X0)
      | ~ on(point_not_on_line(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G3A) ).

fof(f12,axiom,
    ! [X0] :
      ( ~ line(X0)
      | point(point_not_on_line(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G3B) ).

fof(f13,axiom,
    line(at_least_one_line),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax',axiom_G4A) ).

fof(f36,axiom,
    point(a_point),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_point) ).

fof(f37,negated_conjecture,
    ! [X0] :
      ( on(a_point,X0)
      | ~ line(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_point_is_not_on_every_line) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i] :
      ( on(X1,line_from_to(X1,X0))
      | ( X0 = X1 )
      | ~ point(X1)
      | ~ point(X0) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( on(X1,line_from_to(X0,X1))
      | ( X0 = X1 )
      | ~ point(X1)
      | ~ point(X0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i] :
      ( line(line_from_to(X1,X0))
      | ( X0 = X1 )
      | ~ point(X1)
      | ~ point(X0) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X2 )
      | ( X0 = X3 )
      | ~ line(X2)
      | ~ line(X1)
      | ~ point(X3)
      | ~ point(X0)
      | ~ on(X3,X2)
      | ~ on(X3,X1)
      | ~ on(X0,X2)
      | ~ on(X0,X1) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_86,plain,
    ! [X0: $i] :
      ( on(point_1_on_line(X0),X0)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( on(point_2_on_line(X0),X0)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_88,plain,
    ! [X0: $i] :
      ( point(point_1_on_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_89,plain,
    ! [X0: $i] :
      ( point(point_2_on_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_90,plain,
    ! [X0: $i] :
      ( ~ line(X0)
      | ( point_1_on_line(X0) != point_2_on_line(X0) ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_91,plain,
    ! [X0: $i] :
      ( ~ line(X0)
      | ~ on(point_not_on_line(X0),X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_92,plain,
    ! [X0: $i] :
      ( point(point_not_on_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_93,plain,
    line(at_least_one_line),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_113,plain,
    point(a_point),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_114,negated_conjecture,
    ! [X0: $i] :
      ( on(a_point,X0)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_1737,negated_conjecture,
    ! [X0: $i] :
      ( on(a_point,X0)
      | ~ line(X0) ),
    inference(demodulation,[status(thm)],[c_114]) ).

tcf(c_1740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ( X0 = a_point )
      | ~ point(a_point)
      | ~ line(X2)
      | ~ line(X1)
      | ~ point(X0)
      | ~ on(a_point,X2)
      | ~ on(X0,X2)
      | ~ on(X0,X1) ),
    inference(superposition,[status(thm)],[c_1737,c_85]) ).

tcf(c_2746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ( X0 = a_point )
      | ~ line(X2)
      | ~ line(X1)
      | ~ point(X0)
      | ~ on(a_point,X2)
      | ~ on(X0,X2)
      | ~ on(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2735,c_113]) ).

tcf(c_3000,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ( X0 = a_point )
      | ~ line(X2)
      | ~ line(X1)
      | ~ point(X0)
      | ~ on(X0,X2)
      | ~ on(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2746,c_1737]) ).

tcf(c_3023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = a_point )
      | ( X0 = X1 )
      | ( line_from_to(X0,X1) = X2 )
      | ~ line(X2)
      | ~ point(X1)
      | ~ point(X0)
      | ~ on(X1,X2)
      | ~ line(line_from_to(X0,X1)) ),
    inference(superposition,[status(thm)],[c_83,c_3000]) ).

tcf(c_3271,plain,
    ( point(point_1_on_line(at_least_one_line))
    | ~ line(at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_3375,plain,
    ( point(point_2_on_line(at_least_one_line))
    | ~ line(at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_3376,plain,
    ( point(point_not_on_line(at_least_one_line))
    | ~ line(at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_92]) ).

tcf(c_3377,plain,
    ( on(point_1_on_line(at_least_one_line),at_least_one_line)
    | ~ line(at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_3378,plain,
    ( on(point_2_on_line(at_least_one_line),at_least_one_line)
    | ~ line(at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_87]) ).

tcf(c_3379,plain,
    ( ~ line(at_least_one_line)
    | ( point_1_on_line(at_least_one_line) != point_2_on_line(at_least_one_line) ) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_3380,plain,
    ( ~ line(at_least_one_line)
    | ~ on(point_not_on_line(at_least_one_line),at_least_one_line) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_3534,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) )
      | ( point_2_on_line(at_least_one_line) != X0 )
      | ( point_1_on_line(at_least_one_line) != X0 ) ),
    inference(instantiation,[status(thm)],[c_1740]) ).

tcf(c_3535,plain,
    ( ( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) )
    | ( point_2_on_line(at_least_one_line) != a_point )
    | ( point_1_on_line(at_least_one_line) != a_point ) ),
    inference(instantiation,[status(thm)],[c_3534]) ).

tcf(c_3552,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = a_point )
      | ( X0 = X2 )
      | ( line_from_to(X2,X0) = X1 )
      | ~ line(X1)
      | ~ point(X2)
      | ~ point(X0)
      | ~ on(X0,X1) ),
    inference(superposition,[status(thm)],[c_84,c_3023]) ).

tcf(c_4531,plain,
    ! [X0: $i,X1: $i] :
      ( ( point_1_on_line(X0) = a_point )
      | ( point_1_on_line(X0) = X1 )
      | ( line_from_to(X1,point_1_on_line(X0)) = X0 )
      | ~ line(X0)
      | ~ point(X1)
      | ~ point(point_1_on_line(X0)) ),
    inference(superposition,[status(thm)],[c_86,c_3552]) ).

tcf(c_5230,plain,
    ! [X0: $i,X1: $i] :
      ( ( point_1_on_line(X0) = a_point )
      | ( point_1_on_line(X0) = X1 )
      | ( line_from_to(X1,point_1_on_line(X0)) = X0 )
      | ~ line(X0)
      | ~ point(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_4531,c_88,c_4531]) ).

tcf(c_5231,plain,
    ! [X0: $i,X1: $i] :
      ( ( point_1_on_line(X1) = a_point )
      | ( point_1_on_line(X1) = X0 )
      | ( line_from_to(X0,point_1_on_line(X1)) = X1 )
      | ~ line(X1)
      | ~ point(X0) ),
    inference(renaming,[status(thm)],[c_5230]) ).

tcf(c_5243,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(X0) = a_point )
      | ( line_from_to(a_point,point_1_on_line(X0)) = X0 )
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_113,c_5231]) ).

tcf(c_5300,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ( line_from_to(a_point,point_1_on_line(at_least_one_line)) = at_least_one_line ) ),
    inference(superposition,[status(thm)],[c_93,c_5243]) ).

tcf(c_5354,plain,
    ( on(point_1_on_line(at_least_one_line),at_least_one_line)
    | ( point_1_on_line(at_least_one_line) = a_point )
    | ~ point(a_point)
    | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_5300,c_83]) ).

tcf(c_5361,plain,
    ( on(point_1_on_line(at_least_one_line),at_least_one_line)
    | ( point_1_on_line(at_least_one_line) = a_point )
    | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5354,c_113]) ).

tcf(c_7125,plain,
    on(point_1_on_line(at_least_one_line),at_least_one_line),
    inference(global_subsumption_just,[status(thm)],[c_5361,c_93,c_3377]) ).

tcf(c_7130,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = a_point )
      | ( point_1_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_1_on_line(at_least_one_line)) = at_least_one_line )
      | ~ line(at_least_one_line)
      | ~ point(X0)
      | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_7125,c_3552]) ).

tcf(c_7148,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = a_point )
      | ( point_1_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_1_on_line(at_least_one_line)) = at_least_one_line )
      | ~ point(X0)
      | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7130,c_93]) ).

tcf(c_8458,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = a_point )
      | ( point_1_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_1_on_line(at_least_one_line)) = at_least_one_line )
      | ~ point(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_7148,c_93,c_3271,c_7148]) ).

tcf(c_8470,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = a_point )
      | ( point_2_on_line(X0) = point_1_on_line(at_least_one_line) )
      | ( line_from_to(point_2_on_line(X0),point_1_on_line(at_least_one_line)) = at_least_one_line )
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_89,c_8458]) ).

tcf(c_8471,plain,
    ! [X0: $i] :
      ( ( point_1_on_line(at_least_one_line) = a_point )
      | ( point_not_on_line(X0) = point_1_on_line(at_least_one_line) )
      | ( line_from_to(point_not_on_line(X0),point_1_on_line(at_least_one_line)) = at_least_one_line )
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_92,c_8458]) ).

tcf(c_9884,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) )
    | ( line_from_to(point_2_on_line(at_least_one_line),point_1_on_line(at_least_one_line)) = at_least_one_line ) ),
    inference(superposition,[status(thm)],[c_93,c_8470]) ).

tcf(c_9906,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ( line_from_to(point_2_on_line(at_least_one_line),point_1_on_line(at_least_one_line)) = at_least_one_line ) ),
    inference(global_subsumption_just,[status(thm)],[c_9884,c_93,c_3379,c_9884]) ).

tcf(c_9916,plain,
    ( on(point_2_on_line(at_least_one_line),at_least_one_line)
    | ( point_1_on_line(at_least_one_line) = a_point )
    | ( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) )
    | ~ point(point_2_on_line(at_least_one_line))
    | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_9906,c_82]) ).

tcf(c_9952,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) )
    | ( line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line)) = at_least_one_line ) ),
    inference(superposition,[status(thm)],[c_93,c_8471]) ).

tcf(c_9984,plain,
    ( on(point_not_on_line(at_least_one_line),at_least_one_line)
    | ( point_1_on_line(at_least_one_line) = a_point )
    | ( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) )
    | ~ point(point_not_on_line(at_least_one_line))
    | ~ point(point_1_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_9952,c_82]) ).

tcf(c_10050,plain,
    on(point_2_on_line(at_least_one_line),at_least_one_line),
    inference(global_subsumption_just,[status(thm)],[c_9916,c_93,c_3378]) ).

tcf(c_10058,plain,
    ! [X0: $i] :
      ( ( point_2_on_line(at_least_one_line) = a_point )
      | ( point_2_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_2_on_line(at_least_one_line)) = at_least_one_line )
      | ~ line(at_least_one_line)
      | ~ point(X0)
      | ~ point(point_2_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_10050,c_3552]) ).

tcf(c_10076,plain,
    ! [X0: $i] :
      ( ( point_2_on_line(at_least_one_line) = a_point )
      | ( point_2_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_2_on_line(at_least_one_line)) = at_least_one_line )
      | ~ point(X0)
      | ~ point(point_2_on_line(at_least_one_line)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10058,c_93]) ).

tcf(c_10732,plain,
    ( ( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) )
    | ( point_1_on_line(at_least_one_line) = a_point ) ),
    inference(global_subsumption_just,[status(thm)],[c_9984,c_93,c_3271,c_3376,c_3380,c_9984]) ).

tcf(c_10733,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) ) ),
    inference(renaming,[status(thm)],[c_10732]) ).

tcf(c_10738,plain,
    ( ( point_1_on_line(at_least_one_line) = a_point )
    | ~ line(at_least_one_line)
    | ~ on(point_1_on_line(at_least_one_line),at_least_one_line) ),
    inference(superposition,[status(thm)],[c_10733,c_91]) ).

tcf(c_10743,plain,
    point_1_on_line(at_least_one_line) = a_point,
    inference(forward_subsumption_resolution,[status(thm)],[c_10738,c_93,c_7125]) ).

tcf(c_15317,plain,
    ! [X0: $i] :
      ( ~ point(X0)
      | ( line_from_to(X0,point_2_on_line(at_least_one_line)) = at_least_one_line )
      | ( point_2_on_line(at_least_one_line) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_10076,c_93,c_3375,c_3379,c_3535,c_10076,c_10743]) ).

tcf(c_15318,plain,
    ! [X0: $i] :
      ( ( point_2_on_line(at_least_one_line) = X0 )
      | ( line_from_to(X0,point_2_on_line(at_least_one_line)) = at_least_one_line )
      | ~ point(X0) ),
    inference(renaming,[status(thm)],[c_15317]) ).

tcf(c_15328,plain,
    ! [X0: $i] :
      ( ( point_not_on_line(X0) = point_2_on_line(at_least_one_line) )
      | ( line_from_to(point_not_on_line(X0),point_2_on_line(at_least_one_line)) = at_least_one_line )
      | ~ line(X0) ),
    inference(superposition,[status(thm)],[c_92,c_15318]) ).

tcf(c_16015,plain,
    ( ( point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) )
    | ( line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) = at_least_one_line ) ),
    inference(superposition,[status(thm)],[c_93,c_15328]) ).

tcf(c_16052,plain,
    ( on(point_not_on_line(at_least_one_line),at_least_one_line)
    | ( point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) )
    | ~ point(point_not_on_line(at_least_one_line))
    | ~ point(point_2_on_line(at_least_one_line)) ),
    inference(superposition,[status(thm)],[c_16015,c_82]) ).

tcf(c_16326,plain,
    point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line),
    inference(global_subsumption_just,[status(thm)],[c_16052,c_93,c_3375,c_3376,c_3380,c_16052]) ).

tcf(c_16330,plain,
    ( ~ line(at_least_one_line)
    | ~ on(point_2_on_line(at_least_one_line),at_least_one_line) ),
    inference(superposition,[status(thm)],[c_16326,c_91]) ).

tcf(c_16333,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16330,c_93,c_10050]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO076-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41  % Computer : n019.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Wed Sep 23 10:43:34 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.46  Running first-order theorem proving
% 0.16/0.46  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.48  
% 0.16/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.48  
% 0.16/0.48  % Detected problem language: tptp
% 0.16/0.50  % Proving...
% 1.60/1.93  % SZS status Started for theBenchmark.p
% 1.60/1.93  % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.93  
% 1.60/1.93  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.93  
% 1.60/1.93  % ------  iProver source info
% 1.60/1.93  
% 1.60/1.93  % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.93  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.93  % git: non_committed_changes: false
% 1.60/1.93  
% 1.60/1.93  % ------ Parsing...% successful
% 1.60/1.93  
% 1.60/1.93  
% 1.60/1.93  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.60/1.93  
% 1.60/1.93  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 1.60/1.93  
% 1.60/1.93  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.60/1.93  
% 1.60/1.93  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.60/1.93  % ------ Proving...
% 1.60/1.93  % ------ Problem Properties 
% 1.60/1.93  
% 1.60/1.93  % 
% 1.60/1.93  % clauses                               33
% 1.60/1.93  % conjectures                           1
% 1.60/1.93  % EPR                                   7
% 1.60/1.93  % Horn                                  15
% 1.60/1.93  % unary                                 2
% 1.60/1.93  % binary                                12
% 1.60/1.93  % lits                                  177
% 1.60/1.93  % lits eq                               43
% 1.60/1.93  % fd_pure                               0
% 1.60/1.93  % fd_pseudo                             0
% 1.60/1.93  % fd_cond                               0
% 1.60/1.93  % fd_pseudo_cond                        19
% 1.60/1.93  % AC symbols                            0
% 1.60/1.93  
% 1.60/1.93  % ------ Schedule dynamic 5 is on 
% 1.60/1.93  
% 1.60/1.93  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.60/1.93  
% 1.60/1.93  
% 1.60/1.93  % ------ 
% 1.60/1.93  % Current options:
% 1.60/1.93  % ------ 
% 1.60/1.93  
% 1.60/1.93  
% 1.60/1.93  % 
% 1.60/1.93  
% 1.60/1.93  % ------ Proving...
% 1.60/1.93  % 
% 1.60/1.93  
% 1.60/1.93  % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.93  
% 1.60/1.93  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.93  
% 1.60/1.93  
%------------------------------------------------------------------------------