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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP039-3 : 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 : n002.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 01:30:00 PM UTC 2026

% Result   : Unsatisfiable 0.89s 1.21s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  101 (  57 unt;   3 def)
%            Number of atoms       :  352 (  40 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  144 (  67   ~;  77   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 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  :    8 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  88   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).

fof(f3,axiom,
    ! [X0] : product(inverse(X0),X0,identity),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).

fof(f4,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X2,X3,X5)
      | ~ product(X0,X4,X5)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( subgroup_member(X2)
      | ~ product(X0,inverse(X1),X2)
      | ~ subgroup_member(X1)
      | ~ subgroup_member(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).

fof(f14,axiom,
    ! [X0] : inverse(inverse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_is_self_cancelling) ).

fof(f15,axiom,
    subgroup_member(identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_in_subgroup) ).

fof(f16,axiom,
    ! [X0] :
      ( subgroup_member(inverse(X0))
      | ~ subgroup_member(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgroup_member_inverse_are_in_subgroup) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( subgroup_member(X0)
      | subgroup_member(X1)
      | subgroup_member(element_in_O2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( subgroup_member(X0)
      | subgroup_member(X1)
      | product(X0,element_in_O2(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).

fof(f19,negated_conjecture,
    subgroup_member(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).

fof(f20,negated_conjecture,
    product(b,inverse(a),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).

fof(f21,negated_conjecture,
    product(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).

fof(f22,negated_conjecture,
    ~ subgroup_member(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).

tcf(c_69,plain,
    ! [X0: $i] : product(identity,X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_70,plain,
    ! [X0: $i] : product(X0,identity,X0),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_71,plain,
    ! [X0: $i] : product(inverse(X0),X0,identity),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_72,plain,
    ! [X0: $i] : product(X0,inverse(X0),identity),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( product(X2,X5,X4)
      | ~ product(X1,X5,X3)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subgroup_member(X2)
      | ~ subgroup_member(X1)
      | ~ subgroup_member(X0)
      | ~ product(X0,inverse(X1),X2) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_80,plain,
    ! [X0: $i] : inverse(inverse(X0)) = X0,
    inference(cnf_transformation,[],[f14]) ).

tcf(c_81,plain,
    subgroup_member(identity),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_82,plain,
    ! [X0: $i] :
      ( subgroup_member(inverse(X0))
      | ~ subgroup_member(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(X1)
      | subgroup_member(X0)
      | subgroup_member(element_in_O2(X0,X1)) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(X1)
      | subgroup_member(X0)
      | product(X0,element_in_O2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_85,negated_conjecture,
    subgroup_member(b),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_86,negated_conjecture,
    product(b,inverse(a),c),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_87,negated_conjecture,
    product(a,c,d),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_88,negated_conjecture,
    ~ subgroup_member(d),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(X1)
      | subgroup_member(X0)
      | ( multiply(X0,element_in_O2(X0,X1)) = X1 ) ),
    inference(well_definedness,[status(thm)],[c_84]) ).

tcf(c_101,plain,
    multiply(b,inverse(a)) = c,
    inference(well_definedness,[status(thm)],[c_86]) ).

tcf(c_102,plain,
    multiply(a,c) = d,
    inference(well_definedness,[status(thm)],[c_87]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subgroup_member(X2)
      | ~ subgroup_member(X1)
      | ~ subgroup_member(X0)
      | ( multiply(X0,inverse(X1)) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_77]) ).

tcf(c_105,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_69]) ).

tcf(c_106,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(well_definedness,[status(thm)],[c_70]) ).

tcf(c_107,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(well_definedness,[status(thm)],[c_71]) ).

tcf(c_108,plain,
    ! [X0: $i] : multiply(X0,inverse(X0)) = identity,
    inference(well_definedness,[status(thm)],[c_72]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( multiply(X2,X5) = X4 )
      | ( multiply(X1,X5) != X3 )
      | ( multiply(X0,X3) != X4 )
      | ( multiply(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_76]) ).

tcf(c_215,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(multiply(X0,inverse(X1)))
      | ~ subgroup_member(X1)
      | ~ subgroup_member(X0) ),
    inference(unflattening,[status(thm)],[c_103]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(unflattening,[status(thm)],[c_114]) ).

tcf(c_330,definition,
    iPr_def_10 = multiply(a,c),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_331,definition,
    iPr_def_11 = inverse(a),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_332,definition,
    iPr_def_12 = multiply(b,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_333,plain,
    iPr_def_10 = d,
    inference(demodulation,[status(thm)],[c_102,c_330]) ).

tcf(c_334,plain,
    iPr_def_12 = c,
    inference(demodulation,[status(thm)],[c_101,c_331,c_332]) ).

tcf(c_335,negated_conjecture,
    ~ subgroup_member(d),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_336,negated_conjecture,
    subgroup_member(b),
    inference(demodulation,[status(thm)],[c_85]) ).

tcf(c_512,plain,
    ~ subgroup_member(iPr_def_10),
    inference(light_normalisation,[status(thm)],[c_335,c_333]) ).

tcf(c_513,plain,
    inverse(iPr_def_11) = a,
    inference(superposition,[status(thm)],[c_331,c_80]) ).

tcf(c_514,plain,
    inverse(a) = iPr_def_11,
    inference(superposition,[status(thm)],[c_513,c_80]) ).

tcf(c_518,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(multiply(X1,X0))
      | ~ subgroup_member(X1)
      | ~ subgroup_member(inverse(X0)) ),
    inference(superposition,[status(thm)],[c_80,c_215]) ).

tcf(c_519,plain,
    ! [X0: $i] :
      ( subgroup_member(multiply(X0,iPr_def_11))
      | ~ subgroup_member(a)
      | ~ subgroup_member(X0) ),
    inference(superposition,[status(thm)],[c_331,c_215]) ).

tcf(c_537,plain,
    ! [X0: $i] :
      ( subgroup_member(X0)
      | ~ subgroup_member(inverse(X0)) ),
    inference(superposition,[status(thm)],[c_80,c_82]) ).

tcf(c_546,plain,
    multiply(a,iPr_def_12) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_330,c_334]) ).

tcf(c_577,plain,
    multiply(iPr_def_11,a) = identity,
    inference(superposition,[status(thm)],[c_514,c_107]) ).

tcf(c_579,plain,
    multiply(a,iPr_def_11) = identity,
    inference(superposition,[status(thm)],[c_513,c_107]) ).

tcf(c_603,plain,
    ( subgroup_member(iPr_def_12)
    | ~ subgroup_member(a)
    | ~ subgroup_member(b) ),
    inference(superposition,[status(thm)],[c_332,c_519]) ).

tcf(c_605,plain,
    ( subgroup_member(iPr_def_12)
    | ~ subgroup_member(a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_603,c_336]) ).

tcf(c_619,plain,
    ( subgroup_member(iPr_def_10)
    | ~ subgroup_member(a)
    | ~ subgroup_member(inverse(iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_546,c_518]) ).

tcf(c_622,plain,
    ( ~ subgroup_member(a)
    | ~ subgroup_member(inverse(iPr_def_12)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_619,c_512]) ).

tcf(c_639,plain,
    ! [X0: $i] :
      ( subgroup_member(X0)
      | ( multiply(X0,element_in_O2(X0,iPr_def_10)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_100,c_512]) ).

tcf(c_644,plain,
    ! [X0: $i] :
      ( subgroup_member(X0)
      | ( multiply(iPr_def_10,element_in_O2(iPr_def_10,X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_100,c_512]) ).

tcf(c_688,plain,
    ! [X0: $i] : multiply(b,multiply(iPr_def_11,X0)) = multiply(iPr_def_12,X0),
    inference(superposition,[status(thm)],[c_332,c_233]) ).

tcf(c_690,plain,
    ! [X0: $i] : multiply(iPr_def_11,multiply(a,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_577,c_233]) ).

tcf(c_691,plain,
    ! [X0: $i] : multiply(a,multiply(iPr_def_11,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_579,c_233]) ).

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subgroup_member(multiply(X0,multiply(X1,inverse(X2))))
      | ~ subgroup_member(X2)
      | ~ subgroup_member(multiply(X0,X1)) ),
    inference(superposition,[status(thm)],[c_233,c_215]) ).

tcf(c_696,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subgroup_member(multiply(X0,multiply(X1,X2)))
      | ~ subgroup_member(inverse(X2))
      | ~ subgroup_member(multiply(X0,X1)) ),
    inference(superposition,[status(thm)],[c_233,c_518]) ).

tcf(c_698,plain,
    ! [X0: $i] : multiply(a,multiply(iPr_def_11,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_691,c_105]) ).

tcf(c_699,plain,
    ! [X0: $i] : multiply(iPr_def_11,multiply(a,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_690,c_105]) ).

tcf(c_748,plain,
    ! [X0: $i] :
      ( subgroup_member(multiply(iPr_def_12,X0))
      | ~ subgroup_member(b)
      | ~ subgroup_member(inverse(multiply(iPr_def_11,X0))) ),
    inference(superposition,[status(thm)],[c_688,c_518]) ).

tcf(c_751,plain,
    ! [X0: $i] :
      ( subgroup_member(multiply(iPr_def_12,X0))
      | ~ subgroup_member(inverse(multiply(iPr_def_11,X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_748,c_336]) ).

tcf(c_761,plain,
    ( ~ subgroup_member(iPr_def_12)
    | ~ subgroup_member(a) ),
    inference(superposition,[status(thm)],[c_82,c_622]) ).

tcf(c_771,plain,
    ~ subgroup_member(a),
    inference(global_subsumption_just,[status(thm)],[c_761,c_605,c_761]) ).

tcf(c_798,plain,
    ! [X0: $i] :
      ( subgroup_member(multiply(iPr_def_12,X0))
      | ~ subgroup_member(multiply(iPr_def_11,X0)) ),
    inference(superposition,[status(thm)],[c_82,c_751]) ).

tcf(c_842,plain,
    multiply(a,element_in_O2(a,iPr_def_10)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_639,c_771]) ).

tcf(c_873,plain,
    ! [X0: $i] :
      ( subgroup_member(X0)
      | ( multiply(iPr_def_10,element_in_O2(iPr_def_10,inverse(X0))) = inverse(X0) ) ),
    inference(superposition,[status(thm)],[c_644,c_537]) ).

tcf(c_1146,plain,
    multiply(iPr_def_11,iPr_def_10) = iPr_def_12,
    inference(superposition,[status(thm)],[c_546,c_699]) ).

tcf(c_1194,plain,
    ! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_10,X0)) = multiply(iPr_def_12,X0),
    inference(superposition,[status(thm)],[c_1146,c_233]) ).

tcf(c_1452,plain,
    element_in_O2(a,iPr_def_10) = multiply(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_842,c_699]) ).

tcf(c_1453,plain,
    element_in_O2(a,iPr_def_10) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_1452,c_1146]) ).

tcf(c_1524,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(multiply(X0,identity))
      | ~ subgroup_member(X1)
      | ~ subgroup_member(multiply(X0,X1)) ),
    inference(superposition,[status(thm)],[c_108,c_693]) ).

tcf(c_1532,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(X0)
      | ~ subgroup_member(X1)
      | ~ subgroup_member(multiply(X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_1524,c_106]) ).

tcf(c_1631,plain,
    ( subgroup_member(iPr_def_12)
    | subgroup_member(iPr_def_10)
    | subgroup_member(a) ),
    inference(superposition,[status(thm)],[c_1453,c_83]) ).

tcf(c_1632,plain,
    subgroup_member(iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_1631,c_512,c_771]) ).

tcf(c_1834,plain,
    ! [X0: $i,X1: $i] :
      ( subgroup_member(multiply(iPr_def_12,multiply(X0,X1)))
      | ~ subgroup_member(inverse(X1))
      | ~ subgroup_member(multiply(iPr_def_11,X0)) ),
    inference(superposition,[status(thm)],[c_696,c_798]) ).

tcf(c_2070,plain,
    multiply(iPr_def_10,element_in_O2(iPr_def_10,inverse(iPr_def_10))) = inverse(iPr_def_10),
    inference(superposition,[status(thm)],[c_873,c_512]) ).

tcf(c_2801,plain,
    ( subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10)))
    | ~ subgroup_member(multiply(iPr_def_11,iPr_def_10))
    | ~ subgroup_member(inverse(element_in_O2(iPr_def_10,inverse(iPr_def_10)))) ),
    inference(superposition,[status(thm)],[c_2070,c_1834]) ).

tcf(c_2832,plain,
    ( subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10)))
    | ~ subgroup_member(iPr_def_12)
    | ~ subgroup_member(inverse(element_in_O2(iPr_def_10,inverse(iPr_def_10)))) ),
    inference(light_normalisation,[status(thm)],[c_2801,c_1146]) ).

tcf(c_2833,plain,
    ( subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10)))
    | ~ subgroup_member(inverse(element_in_O2(iPr_def_10,inverse(iPr_def_10)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2832,c_1632]) ).

tcf(c_2888,plain,
    ( subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10)))
    | ~ subgroup_member(element_in_O2(iPr_def_10,inverse(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_82,c_2833]) ).

tcf(c_3271,plain,
    ( subgroup_member(iPr_def_10)
    | subgroup_member(inverse(iPr_def_10))
    | subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_83,c_2888]) ).

tcf(c_3274,plain,
    ( subgroup_member(inverse(iPr_def_10))
    | subgroup_member(multiply(iPr_def_12,inverse(iPr_def_10))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3271,c_512]) ).

tcf(c_4064,plain,
    ! [X0: $i] :
      ( subgroup_member(a)
      | ~ subgroup_member(X0)
      | ~ subgroup_member(multiply(iPr_def_11,X0)) ),
    inference(superposition,[status(thm)],[c_698,c_1532]) ).

tcf(c_4077,plain,
    ! [X0: $i] :
      ( ~ subgroup_member(X0)
      | ~ subgroup_member(multiply(iPr_def_11,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4064,c_771]) ).

tcf(c_4154,plain,
    ( ~ subgroup_member(identity)
    | ~ subgroup_member(multiply(iPr_def_11,identity)) ),
    inference(instantiation,[status(thm)],[c_4077]) ).

tcf(c_5822,plain,
    multiply(iPr_def_12,inverse(iPr_def_10)) = multiply(iPr_def_11,identity),
    inference(superposition,[status(thm)],[c_108,c_1194]) ).

tcf(c_5872,plain,
    ( subgroup_member(inverse(iPr_def_10))
    | subgroup_member(multiply(iPr_def_11,identity)) ),
    inference(demodulation,[status(thm)],[c_3274,c_5822]) ).

tcf(c_5938,plain,
    subgroup_member(inverse(iPr_def_10)),
    inference(global_subsumption_just,[status(thm)],[c_5872,c_81,c_4154,c_5872]) ).

tcf(c_5945,plain,
    subgroup_member(iPr_def_10),
    inference(superposition,[status(thm)],[c_5938,c_537]) ).

tcf(c_5946,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5945,c_512]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37  % Computer : n002.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Wed Sep 23 13:23:52 UTC 2026
% 0.08/0.38  % CPUTime  : 
% 0.08/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41  Running first-order theorem proving
% 0.08/0.41  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
% 0.08/0.43  
% 0.08/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.43  
% 0.08/0.43  % Detected problem language: tptp
% 0.08/0.44  % Proving...
% 0.89/1.21  % SZS status Started for theBenchmark.p
% 0.89/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.21  
% 0.89/1.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.89/1.21  
% 0.89/1.21  % ------  iProver source info
% 0.89/1.21  
% 0.89/1.21  % git: date: 2026-07-19 20:42:38 +0200
% 0.89/1.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.89/1.21  % git: non_committed_changes: false
% 0.89/1.21  
% 0.89/1.21  % ------ Parsing...% successful
% 0.89/1.21  
% 0.89/1.21  
% 0.89/1.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.89/1.21  
% 0.89/1.21  % ------ Preprocessing... sup_sim: 7  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 0.89/1.21  
% 0.89/1.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.89/1.21  
% 0.89/1.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.89/1.21  % ------ Proving...
% 0.89/1.21  % ------ Problem Properties 
% 0.89/1.21  
% 0.89/1.21  % 
% 0.89/1.21  % clauses                               20
% 0.89/1.21  % conjectures                           2
% 0.89/1.21  % EPR                                   5
% 0.89/1.21  % Horn                                  18
% 0.89/1.21  % unary                                 14
% 0.89/1.21  % binary                                3
% 0.89/1.21  % lits                                  29
% 0.89/1.21  % lits eq                               16
% 0.89/1.21  % fd_pure                               0
% 0.89/1.21  % fd_pseudo                             0
% 0.89/1.21  % fd_cond                               0
% 0.89/1.21  % fd_pseudo_cond                        2
% 0.89/1.21  % AC symbols                            0
% 0.89/1.21  
% 0.89/1.21  % ------ Schedule dynamic 5 is on 
% 0.89/1.21  
% 0.89/1.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.89/1.21  
% 0.89/1.21  
% 0.89/1.21  % ------ 
% 0.89/1.21  % Current options:
% 0.89/1.21  % ------ 
% 0.89/1.21  
% 0.89/1.21  
% 0.89/1.21  % 
% 0.89/1.21  
% 0.89/1.21  % ------ Proving...
% 0.89/1.21  % 
% 0.89/1.21  
% 0.89/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.21  
% 0.89/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/1.21  
% 0.89/1.21  
%------------------------------------------------------------------------------