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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n006.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 02:46:05 PM UTC 2026

% Result   : Unsatisfiable 114.40s 16.97s
% Output   : CNFRefutation 114.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   84 (  24 unt;   0 def)
%            Number of atoms       :  193 (  79 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  203 (  94   ~; 109   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  149 (   0 sgn 149   !;   0   ?; 111   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | X0 = X1
      | ~ member(X0,unordered_pair(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X1,X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X1,X3)
      | ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X0,X2),cross_product(X1,X3))
      | ~ member(X2,X3)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).

fof(f101,negated_conjecture,
    ordered_pair(w,x) = ordered_pair(y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).

fof(f102,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).

fof(f103,negated_conjecture,
    x != z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).

fof(f108,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1] :
      ( member(X0,X2)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(definition_unfolding,[],[f14,f108]) ).

fof(f115,plain,
    ! [X2,X3,X0,X1] :
      ( member(X1,X3)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(definition_unfolding,[],[f15,f108]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
      | ~ member(X2,X3)
      | ~ member(X0,X1) ),
    inference(definition_unfolding,[],[f16,f108]) ).

fof(f152,plain,
    unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
    inference(definition_unfolding,[],[f101,f108,f108]) ).

tcf(c_150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_152,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X1,X0))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X0,X2)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X1,X3)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
      | ~ member(X2,X3)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_218,negated_conjecture,
    unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_219,negated_conjecture,
    member(x,universal_class),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_220,negated_conjecture,
    x != z,
    inference(cnf_transformation,[],[f103]) ).

tcf(c_2101,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_2103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X0,X2)
      | ~ member(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cross_product(X0,X2) = cross_product(X1,X3) )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2855,plain,
    ( member(unordered_pair(y,unordered_pair(z,z)),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))))
    | ~ member(unordered_pair(y,unordered_pair(z,z)),universal_class) ),
    inference(superposition,[status(thm)],[c_218,c_152]) ).

tcf(c_2861,plain,
    ! [X0: $i,X1: $i] :
      ( member(y,X0)
      | ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1)) ),
    inference(superposition,[status(thm)],[c_218,c_154]) ).

tcf(c_2863,plain,
    ! [X0: $i,X1: $i] :
      ( member(z,X1)
      | ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1)) ),
    inference(superposition,[status(thm)],[c_218,c_155]) ).

tcf(c_2865,plain,
    ! [X0: $i,X1: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1))
      | ~ member(z,X1)
      | ~ member(y,X0) ),
    inference(superposition,[status(thm)],[c_218,c_156]) ).

tcf(c_2869,plain,
    ! [X0: $i,X1: $i] :
      ( member(y,X0)
      | ~ member(x,X1)
      | ~ member(w,X0) ),
    inference(superposition,[status(thm)],[c_156,c_2861]) ).

tcf(c_2870,plain,
    ( member(y,universal_class)
    | ~ member(x,universal_class)
    | ~ member(w,universal_class) ),
    inference(instantiation,[status(thm)],[c_2869]) ).

tcf(c_2885,plain,
    ! [X0: $i,X1: $i] :
      ( member(z,X1)
      | ~ member(x,X1)
      | ~ member(w,X0) ),
    inference(superposition,[status(thm)],[c_156,c_2863]) ).

tcf(c_2886,plain,
    ( member(z,universal_class)
    | ~ member(x,universal_class)
    | ~ member(w,universal_class) ),
    inference(instantiation,[status(thm)],[c_2885]) ).

tcf(c_2896,plain,
    ( ( unordered_pair(y,unordered_pair(z,z)) = unordered_pair(w,w) )
    | ( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) )
    | ~ member(unordered_pair(y,unordered_pair(z,z)),universal_class) ),
    inference(superposition,[status(thm)],[c_2855,c_150]) ).

tcf(c_2905,plain,
    ! [X0: $i] :
      ( member(z,X0)
      | ~ member(w,universal_class)
      | ~ member(x,X0) ),
    inference(superposition,[status(thm)],[c_151,c_2885]) ).

tcf(c_2920,plain,
    ! [X0: $i] :
      ( ( x = z )
      | ( z != X0 )
      | ( x != X0 ) ),
    inference(instantiation,[status(thm)],[c_2103]) ).

tcf(c_2950,plain,
    ! [X0: $i,X1: $i] :
      ( ( z = X0 )
      | ( z != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_2103]) ).

tcf(c_2954,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = x )
      | ( x != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_2103]) ).

tcf(c_2957,plain,
    x = x,
    inference(instantiation,[status(thm)],[c_2101]) ).

tcf(c_2962,plain,
    ( ( unordered_pair(y,unordered_pair(z,z)) = unordered_pair(w,w) )
    | ( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) ) ),
    inference(superposition,[status(thm)],[c_153,c_2896]) ).

tcf(c_3272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( member(X0,cross_product(X2,X4))
      | ~ member(X1,cross_product(X3,X5))
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution,[status(thm)],[c_2107,c_2104]) ).

tcf(c_3426,plain,
    ! [X0: $i] :
      ( ( z = X0 )
      | ( z != z )
      | ( X0 != z ) ),
    inference(instantiation,[status(thm)],[c_2950]) ).

tcf(c_3427,plain,
    z = z,
    inference(instantiation,[status(thm)],[c_2101]) ).

tcf(c_3434,plain,
    ! [X0: $i,X1: $i] :
      ( ( x = X0 )
      | ( x != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_2103]) ).

tcf(c_3696,plain,
    ( member(unordered_pair(z,z),unordered_pair(w,unordered_pair(x,x)))
    | ( unordered_pair(y,unordered_pair(z,z)) = unordered_pair(w,w) )
    | ~ member(unordered_pair(z,z),universal_class) ),
    inference(superposition,[status(thm)],[c_2962,c_152]) ).

tcf(c_5182,plain,
    ( ( unordered_pair(z,z) = w )
    | ( unordered_pair(x,x) = unordered_pair(z,z) )
    | ( unordered_pair(y,unordered_pair(z,z)) = unordered_pair(w,w) )
    | ~ member(unordered_pair(z,z),universal_class) ),
    inference(superposition,[status(thm)],[c_3696,c_150]) ).

tcf(c_6133,plain,
    ! [X0: $i] :
      ( ( x = X0 )
      | ( x != x )
      | ( X0 != x ) ),
    inference(instantiation,[status(thm)],[c_3434]) ).

tcf(c_6294,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( member(X0,cross_product(X3,X5))
      | ~ member(X2,X6)
      | ~ member(X1,X4)
      | ( X5 != X6 )
      | ( X3 != X4 )
      | ( X0 != unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))) ) ),
    inference(resolution,[status(thm)],[c_3272,c_156]) ).

tcf(c_13436,plain,
    ( ( unordered_pair(z,z) = w )
    | ( unordered_pair(x,x) = unordered_pair(z,z) )
    | ( unordered_pair(y,unordered_pair(z,z)) = unordered_pair(w,w) ) ),
    inference(superposition,[status(thm)],[c_153,c_5182]) ).

tcf(c_13442,plain,
    ( member(unordered_pair(z,z),unordered_pair(w,w))
    | ( unordered_pair(z,z) = w )
    | ( unordered_pair(x,x) = unordered_pair(z,z) )
    | ~ member(unordered_pair(z,z),universal_class) ),
    inference(superposition,[status(thm)],[c_13436,c_152]) ).

tcf(c_13788,plain,
    ( ( unordered_pair(z,z) = w )
    | ( unordered_pair(x,x) = unordered_pair(z,z) )
    | ~ member(unordered_pair(z,z),universal_class) ),
    inference(superposition,[status(thm)],[c_13442,c_150]) ).

tcf(c_13792,plain,
    ( ( unordered_pair(z,z) = w )
    | ( unordered_pair(x,x) = unordered_pair(z,z) ) ),
    inference(superposition,[status(thm)],[c_153,c_13788]) ).

tcf(c_13795,plain,
    ! [X0: $i] :
      ( ( X0 = z )
      | ( unordered_pair(z,z) = w )
      | ~ member(X0,unordered_pair(x,x)) ),
    inference(superposition,[status(thm)],[c_13792,c_150]) ).

tcf(c_15889,plain,
    ( ( x = z )
    | ( unordered_pair(z,z) = w )
    | ~ member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_151,c_13795]) ).

tcf(c_15912,plain,
    unordered_pair(z,z) = w,
    inference(global_subsumption_just,[status(thm)],[c_15889,c_219,c_220,c_15889]) ).

tcf(c_15916,plain,
    member(w,universal_class),
    inference(superposition,[status(thm)],[c_15912,c_153]) ).

tcf(c_16460,plain,
    ! [X0: $i] :
      ( member(z,X0)
      | ~ member(x,X0) ),
    inference(superposition,[status(thm)],[c_15916,c_2905]) ).

tcf(c_16840,plain,
    ! [X0: $i] :
      ( member(z,unordered_pair(x,X0))
      | ~ member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_151,c_16460]) ).

tcf(c_18319,plain,
    ! [X0: $i] : member(z,unordered_pair(x,X0)),
    inference(global_subsumption_just,[status(thm)],[c_16840,c_219,c_16840]) ).

tcf(c_18364,plain,
    ! [X0: $i] :
      ( ( x = z )
      | ( X0 = z ) ),
    inference(superposition,[status(thm)],[c_18319,c_150]) ).

tcf(c_18378,plain,
    ! [X0: $i] : X0 = z,
    inference(global_subsumption_just,[status(thm)],[c_18364,c_220,c_18364]) ).

tcf(c_18808,plain,
    ! [X0: $i,X1: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),z)
      | ~ member(z,X1)
      | ~ member(y,X0) ),
    inference(superposition,[status(thm)],[c_18378,c_2865]) ).

tcf(c_18809,plain,
    ! [X0: $i] :
      ( member(z,X0)
      | ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),z) ),
    inference(superposition,[status(thm)],[c_18378,c_2863]) ).

tcf(c_18810,plain,
    ! [X0: $i] :
      ( member(y,X0)
      | ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),z) ),
    inference(superposition,[status(thm)],[c_18378,c_2861]) ).

tcf(c_19073,plain,
    ! [X0: $i,X1: $i] : X0 = X1,
    inference(superposition,[status(thm)],[c_18378,c_18378]) ).

tcf(c_19141,plain,
    ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),z)
    | ~ member(z,universal_class)
    | ~ member(y,universal_class) ),
    inference(instantiation,[status(thm)],[c_18808]) ).

tcf(c_22961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X2))
      | ~ member(z,X3)
      | ~ member(y,X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution,[status(thm)],[c_6294,c_218]) ).

tcf(c_23395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X2))
      | ~ member(z,X3)
      | ~ member(y,X1)
      | ( X2 != X3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_22961,c_19073,c_22961]) ).

tcf(c_23396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X3,X0))
      | ~ member(z,X1)
      | ~ member(y,X2)
      | ( X0 != X1 ) ),
    inference(renaming,[status(thm)],[c_23395]) ).

tcf(c_23397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X3,X0))
      | ~ member(z,X1)
      | ~ member(y,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_23396,c_19073,c_23396]) ).

tcf(c_23398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X2,X3))
      | ~ member(z,X1)
      | ~ member(y,X0) ),
    inference(renaming,[status(thm)],[c_23397]) ).

tcf(c_23399,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X2,X3))
      | ~ member(z,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_23398,c_219,c_2870,c_2886,c_15916,c_18810,c_19141,c_23398]) ).

tcf(c_23400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X1,X2))
      | ~ member(z,X0) ),
    inference(renaming,[status(thm)],[c_23399]) ).

tcf(c_23402,plain,
    ! [X1: $i,X2: $i] : member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X1,X2)),
    inference(global_subsumption_just,[status(thm)],[c_23400,c_219,c_2870,c_2886,c_15916,c_18809,c_19141,c_23400]) ).

tcf(c_23403,plain,
    ! [X0: $i,X1: $i] : member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1)),
    inference(renaming,[status(thm)],[c_23402]) ).

tcf(c_23419,plain,
    ! [X0: $i] : member(x,X0),
    inference(resolution,[status(thm)],[c_23403,c_155]) ).

tcf(c_23850,plain,
    ! [X0: $i,X1: $i] :
      ( ( x = X1 )
      | ( x = X0 ) ),
    inference(resolution,[status(thm)],[c_23419,c_150]) ).

tcf(c_23851,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23850,c_19073,c_18364,c_6133,c_3427,c_3426,c_2957,c_2954,c_2920,c_220]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 09:11:56 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 114.40/16.97  % SZS status Started for theBenchmark.p
% 114.40/16.97  % SZS status Unsatisfiable for theBenchmark.p
% 114.40/16.97  
% 114.40/16.97  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 114.40/16.97  
% 114.40/16.97  % ------  iProver source info
% 114.40/16.97  
% 114.40/16.97  % git: date: 2026-07-19 20:42:38 +0200
% 114.40/16.97  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 114.40/16.97  % git: non_committed_changes: false
% 114.40/16.97  
% 114.40/16.97  % ------ Parsing...% successful
% 114.40/16.97  
% 114.40/16.97  
% 114.40/16.97  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 114.40/16.97  
% 114.40/16.97  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 114.40/16.97  
% 114.40/16.97  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 114.40/16.97  
% 114.40/16.97  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 114.40/16.97  % ------ Proving...
% 114.40/16.97  % ------ Problem Properties 
% 114.40/16.97  
% 114.40/16.97  % 
% 114.40/16.97  % clauses                               70
% 114.40/16.97  % conjectures                           3
% 114.40/16.97  % EPR                                   14
% 114.40/16.97  % Horn                                  62
% 114.40/16.97  % unary                                 18
% 114.40/16.97  % binary                                32
% 114.40/16.97  % lits                                  148
% 114.40/16.97  % lits eq                               22
% 114.40/16.97  % fd_pure                               0
% 114.40/16.97  % fd_pseudo                             0
% 114.40/16.97  % fd_cond                               3
% 114.40/16.97  % fd_pseudo_cond                        3
% 114.40/16.97  % AC symbols                            0
% 114.40/16.97  
% 114.40/16.97  % ------ Input Options Time Limit: Unbounded
% 114.40/16.97  
% 114.40/16.97  
% 114.40/16.97  % ------ 
% 114.40/16.97  % Current options:
% 114.40/16.97  % ------ 
% 114.40/16.97  
% 114.40/16.97  
% 114.40/16.97  % 
% 114.40/16.97  
% 114.40/16.97  % ------ Proving...
% 114.40/16.97  % 
% 114.40/16.97  
% 114.40/16.97  % SZS status Unsatisfiable for theBenchmark.p
% 114.40/16.97  
% 114.40/16.97  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.40/16.97  
% 114.40/16.97  
%------------------------------------------------------------------------------