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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL220-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 02:06:03 PM UTC 2026

% Result   : Unsatisfiable 53.49s 13.41s
% Output   : CNFRefutation 53.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (  64 unt;  10 def)
%            Number of atoms       :  271 (  11 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  100 (  55   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;  11 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  123 (   0 sgn 123   !;   0   ?;  94   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

fof(f6,axiom,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ axiom(X0)
      | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ theorem(implies(X1,X0))
      | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).

fof(f9,negated_conjecture,
    ~ theorem(implies(implies(implies(p,q),q),implies(implies(q,p),p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f10,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f13,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f14,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ theorem(or(not(X1),X0))
      | theorem(X0) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f16,plain,
    ~ theorem(or(not(or(not(or(not(p),q)),q)),or(not(or(not(q),p)),p))),
    inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).

tcf(c_58,plain,
    ! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( theorem(X0)
      | ~ axiom(X0) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(X1)
      | ~ theorem(X0)
      | ~ theorem(or(not(X0),X1)) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_65,negated_conjecture,
    ~ theorem(or(not(or(not(or(not(p),q)),q)),or(not(or(not(q),p)),p))),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_94,plain,
    ! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[status(thm)],[c_63,c_58]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[status(thm)],[c_63,c_59]) ).

tcf(c_104,plain,
    ! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[status(thm)],[c_63,c_60]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[status(thm)],[c_63,c_61]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[status(thm)],[c_63,c_62]) ).

tcf(c_142,definition,
    iPr_def_10 = not(p),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_143,definition,
    iPr_def_11 = or(iPr_def_10,q),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_144,definition,
    iPr_def_12 = not(iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_145,definition,
    iPr_def_13 = or(iPr_def_12,q),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_146,definition,
    iPr_def_14 = not(iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_147,definition,
    iPr_def_15 = not(q),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_148,definition,
    iPr_def_16 = or(iPr_def_15,p),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_149,definition,
    iPr_def_17 = not(iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_150,definition,
    iPr_def_18 = or(iPr_def_17,p),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_151,definition,
    iPr_def_19 = or(iPr_def_14,iPr_def_18),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_152,negated_conjecture,
    ~ theorem(iPr_def_19),
    inference(demodulation,[status(thm)],[c_65,c_147,c_148,c_149,c_150,c_142,c_143,c_144,c_145,c_146,c_151]) ).

tcf(c_292,plain,
    ! [X0: $i] :
      ( theorem(X0)
      | ~ theorem(or(X0,X0)) ),
    inference(superposition,[status(thm)],[c_94,c_64]) ).

tcf(c_320,plain,
    ! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
    inference(superposition,[status(thm)],[c_142,c_99]) ).

tcf(c_330,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(or(X1,X0))
      | ~ theorem(X0) ),
    inference(superposition,[status(thm)],[c_99,c_64]) ).

tcf(c_354,plain,
    theorem(or(not(or(q,iPr_def_10)),iPr_def_11)),
    inference(superposition,[status(thm)],[c_143,c_104]) ).

tcf(c_359,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(or(X1,X0))
      | ~ theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_104,c_64]) ).

tcf(c_445,plain,
    ! [X0: $i] : theorem(or(not(or(X0,iPr_def_16)),or(iPr_def_15,or(X0,p)))),
    inference(superposition,[status(thm)],[c_148,c_109]) ).

tcf(c_447,plain,
    ! [X0: $i] : theorem(or(not(or(X0,iPr_def_19)),or(iPr_def_14,or(X0,iPr_def_18)))),
    inference(superposition,[status(thm)],[c_151,c_109]) ).

tcf(c_451,plain,
    ! [X0: $i] : theorem(or(not(or(iPr_def_17,or(X0,p))),or(X0,iPr_def_18))),
    inference(superposition,[status(thm)],[c_150,c_109]) ).

tcf(c_452,plain,
    ! [X0: $i] : theorem(or(not(or(iPr_def_14,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
    inference(superposition,[status(thm)],[c_151,c_109]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( theorem(or(X1,or(X0,X2)))
      | ~ theorem(or(X0,or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_109,c_64]) ).

tcf(c_656,plain,
    ! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_15,X0)),or(not(or(X1,q)),or(X1,X0)))),
    inference(superposition,[status(thm)],[c_147,c_114]) ).

tcf(c_662,plain,
    ! [X0: $i] : theorem(or(not(or(not(p),X0)),or(not(iPr_def_16),or(iPr_def_15,X0)))),
    inference(superposition,[status(thm)],[c_148,c_114]) ).

tcf(c_669,plain,
    ! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_18)),or(not(or(iPr_def_14,X0)),iPr_def_19))),
    inference(superposition,[status(thm)],[c_151,c_114]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( theorem(or(not(or(X2,X0)),or(X2,X1)))
      | ~ theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_114,c_64]) ).

tcf(c_673,plain,
    ! [X0: $i] : theorem(or(not(or(iPr_def_10,X0)),or(iPr_def_17,or(iPr_def_15,X0)))),
    inference(light_normalisation,[status(thm)],[c_662,c_142,c_149]) ).

tcf(c_1160,plain,
    theorem(or(not(or(iPr_def_17,iPr_def_16)),or(iPr_def_15,iPr_def_18))),
    inference(superposition,[status(thm)],[c_150,c_445]) ).

tcf(c_1229,plain,
    ( theorem(or(iPr_def_15,iPr_def_18))
    | ~ theorem(or(iPr_def_17,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_1160,c_64]) ).

tcf(c_1331,plain,
    ! [X0: $i] :
      ( theorem(or(iPr_def_14,or(X0,iPr_def_18)))
      | ~ theorem(or(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_447,c_64]) ).

tcf(c_1399,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_18))
      | ~ theorem(or(iPr_def_17,or(X0,p))) ),
    inference(superposition,[status(thm)],[c_451,c_64]) ).

tcf(c_1434,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_19))
      | ~ theorem(or(iPr_def_14,or(X0,iPr_def_18))) ),
    inference(superposition,[status(thm)],[c_452,c_64]) ).

tcf(c_1441,plain,
    theorem(or(not(or(iPr_def_10,p)),or(iPr_def_17,iPr_def_16))),
    inference(superposition,[status(thm)],[c_148,c_673]) ).

tcf(c_1460,plain,
    ! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
    inference(superposition,[status(thm)],[c_94,c_453]) ).

tcf(c_1461,plain,
    ! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
    inference(superposition,[status(thm)],[c_99,c_453]) ).

tcf(c_1464,plain,
    ! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
    inference(superposition,[status(thm)],[c_114,c_453]) ).

tcf(c_1465,plain,
    ! [X0: $i] : theorem(or(X0,or(iPr_def_10,p))),
    inference(superposition,[status(thm)],[c_320,c_453]) ).

tcf(c_1470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( theorem(or(X0,or(X2,X1)))
      | ~ theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_330,c_453]) ).

tcf(c_1625,plain,
    ( theorem(or(iPr_def_17,iPr_def_16))
    | ~ theorem(or(iPr_def_10,p)) ),
    inference(superposition,[status(thm)],[c_1441,c_64]) ).

tcf(c_1687,plain,
    theorem(or(iPr_def_10,p)),
    inference(superposition,[status(thm)],[c_1465,c_292]) ).

tcf(c_1694,plain,
    theorem(or(iPr_def_17,iPr_def_16)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1625,c_1687]) ).

tcf(c_1695,plain,
    theorem(or(iPr_def_15,iPr_def_18)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1229,c_1694]) ).

tcf(c_1697,plain,
    theorem(or(p,iPr_def_10)),
    inference(superposition,[status(thm)],[c_1687,c_359]) ).

tcf(c_1889,plain,
    ! [X0: $i] : theorem(or(not(X0),X0)),
    inference(superposition,[status(thm)],[c_1461,c_292]) ).

tcf(c_1904,plain,
    ! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
    inference(superposition,[status(thm)],[c_1889,c_453]) ).

tcf(c_1913,plain,
    theorem(or(not(or(iPr_def_15,iPr_def_18)),or(not(or(iPr_def_14,q)),iPr_def_19))),
    inference(superposition,[status(thm)],[c_151,c_656]) ).

tcf(c_2404,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_18))
      | ~ theorem(or(X0,p)) ),
    inference(superposition,[status(thm)],[c_330,c_1399]) ).

tcf(c_2421,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_19))
      | ~ theorem(or(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_330,c_1434]) ).

tcf(c_3012,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(or(not(or(not(X0),X1)),X1))
      | ~ theorem(X0) ),
    inference(superposition,[status(thm)],[c_1904,c_64]) ).

tcf(c_3015,plain,
    ! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
    inference(superposition,[status(thm)],[c_1904,c_359]) ).

tcf(c_3280,plain,
    ( theorem(or(not(or(iPr_def_14,q)),iPr_def_19))
    | ~ theorem(or(iPr_def_15,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_1913,c_64]) ).

tcf(c_3283,plain,
    theorem(or(not(or(iPr_def_14,q)),iPr_def_19)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3280,c_1695]) ).

tcf(c_3511,plain,
    ! [X0: $i] :
      ( theorem(or(not(or(iPr_def_14,X0)),iPr_def_19))
      | ~ theorem(or(not(X0),iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_669,c_64]) ).

tcf(c_3707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( theorem(or(X2,X1))
      | ~ theorem(or(X2,X0))
      | ~ theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_670,c_64]) ).

tcf(c_4802,plain,
    ! [X0: $i] :
      ( theorem(iPr_def_19)
      | ~ theorem(or(iPr_def_14,X0))
      | ~ theorem(or(not(X0),iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_3511,c_64]) ).

tcf(c_4806,plain,
    ! [X0: $i] :
      ( ~ theorem(or(iPr_def_14,X0))
      | ~ theorem(or(not(X0),iPr_def_18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4802,c_152]) ).

tcf(c_4827,plain,
    ! [X0: $i] :
      ( ~ theorem(X0)
      | ~ theorem(or(iPr_def_14,or(not(X0),iPr_def_18))) ),
    inference(superposition,[status(thm)],[c_3012,c_4806]) ).

tcf(c_5013,plain,
    ! [X0: $i] :
      ( ~ theorem(X0)
      | ~ theorem(or(not(X0),iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_1331,c_4827]) ).

tcf(c_6100,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_11))
      | ~ theorem(or(X0,or(q,iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_354,c_3707]) ).

tcf(c_6190,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_19))
      | ~ theorem(or(X0,or(iPr_def_14,q))) ),
    inference(superposition,[status(thm)],[c_3283,c_3707]) ).

tcf(c_6440,plain,
    ( theorem(or(p,iPr_def_19))
    | ~ theorem(or(p,or(iPr_def_14,q))) ),
    inference(instantiation,[status(thm)],[c_6190]) ).

tcf(c_7111,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
      | ~ theorem(X0) ),
    inference(superposition,[status(thm)],[c_1460,c_64]) ).

tcf(c_8308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( theorem(or(not(or(not(X1),X2)),or(X0,X2)))
      | ~ theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1464,c_64]) ).

tcf(c_8407,plain,
    ! [X0: $i] : theorem(or(or(not(or(p,X0)),X0),iPr_def_18)),
    inference(superposition,[status(thm)],[c_3015,c_2404]) ).

tcf(c_10234,plain,
    ! [X0: $i,X1: $i] :
      ( theorem(or(not(or(iPr_def_12,X1)),or(X0,X1)))
      | ~ theorem(or(X0,iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_144,c_8308]) ).

tcf(c_11576,plain,
    ! [X0: $i] :
      ( theorem(or(not(iPr_def_13),or(X0,q)))
      | ~ theorem(or(X0,iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_145,c_10234]) ).

tcf(c_11588,plain,
    ! [X0: $i] :
      ( theorem(or(iPr_def_14,or(X0,q)))
      | ~ theorem(or(X0,iPr_def_11)) ),
    inference(light_normalisation,[status(thm)],[c_11576,c_146]) ).

tcf(c_11612,plain,
    ! [X0: $i] :
      ( theorem(or(X0,or(iPr_def_14,q)))
      | ~ theorem(or(X0,iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_11588,c_453]) ).

tcf(c_11622,plain,
    ( theorem(or(p,or(iPr_def_14,q)))
    | ~ theorem(or(p,iPr_def_11)) ),
    inference(instantiation,[status(thm)],[c_11612]) ).

tcf(c_11924,plain,
    ! [X0: $i] :
      ( ~ theorem(X0)
      | ~ theorem(or(or(not(X0),iPr_def_19),or(not(X0),iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_7111,c_5013]) ).

tcf(c_12584,plain,
    ! [X0: $i] :
      ( ~ theorem(X0)
      | ~ theorem(or(or(not(X0),iPr_def_19),iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_1470,c_11924]) ).

tcf(c_13958,plain,
    ! [X0: $i] : theorem(or(or(not(or(p,X0)),X0),iPr_def_19)),
    inference(superposition,[status(thm)],[c_8407,c_2421]) ).

tcf(c_16474,plain,
    ~ theorem(or(p,iPr_def_19)),
    inference(superposition,[status(thm)],[c_13958,c_12584]) ).

tcf(c_115811,plain,
    ! [X0: $i] :
      ( theorem(or(X0,iPr_def_11))
      | ~ theorem(or(X0,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_1470,c_6100]) ).

tcf(c_116006,plain,
    ( theorem(or(p,iPr_def_11))
    | ~ theorem(or(p,iPr_def_10)) ),
    inference(instantiation,[status(thm)],[c_115811]) ).

tcf(c_116007,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_116006,c_16474,c_11622,c_6440,c_1697]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL220-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37  % Computer : n011.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Wed Sep 23 22:25:48 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41  Running first-order theorem proving
% 0.13/5.41  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
% 0.13/5.43  
% 0.13/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43  
% 0.13/5.43  % Detected problem language: tptp
% 0.13/5.44  % Proving...
% 53.49/13.41  % SZS status Started for theBenchmark.p
% 53.49/13.41  % SZS status Unsatisfiable for theBenchmark.p
% 53.49/13.41  
% 53.49/13.41  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 53.49/13.41  
% 53.49/13.41  % ------  iProver source info
% 53.49/13.41  
% 53.49/13.41  % git: date: 2026-07-19 20:42:38 +0200
% 53.49/13.41  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 53.49/13.41  % git: non_committed_changes: false
% 53.49/13.41  
% 53.49/13.41  % ------ Parsing...% successful
% 53.49/13.41  
% 53.49/13.41  
% 53.49/13.41  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 53.49/13.41  
% 53.49/13.41  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 53.49/13.41  
% 53.49/13.41  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 53.49/13.41  
% 53.49/13.41  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 53.49/13.41  % ------ Proving...
% 53.49/13.41  % ------ Problem Properties 
% 53.49/13.41  
% 53.49/13.41  % 
% 53.49/13.41  % clauses                               17
% 53.49/13.41  % conjectures                           1
% 53.49/13.41  % EPR                                   1
% 53.49/13.41  % Horn                                  17
% 53.49/13.41  % unary                                 16
% 53.49/13.41  % binary                                0
% 53.49/13.41  % lits                                  19
% 53.49/13.41  % lits eq                               10
% 53.49/13.41  % fd_pure                               0
% 53.49/13.41  % fd_pseudo                             0
% 53.49/13.41  % fd_cond                               0
% 53.49/13.41  % fd_pseudo_cond                        0
% 53.49/13.41  % AC symbols                            0
% 53.49/13.41  
% 53.49/13.41  % ------ Schedule dynamic 5 is on 
% 53.49/13.41  
% 53.49/13.41  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 53.49/13.41  
% 53.49/13.41  
% 53.49/13.41  % ------ 
% 53.49/13.41  % Current options:
% 53.49/13.41  % ------ 
% 53.49/13.41  
% 53.49/13.41  
% 53.49/13.41  % 
% 53.49/13.41  
% 53.49/13.41  % ------ Proving...
% 53.49/13.41  % 
% 53.49/13.41  
% 53.49/13.41  % SZS status Unsatisfiable for theBenchmark.p
% 53.49/13.41  
% 53.49/13.41  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.49/13.41  
% 53.49/13.41  
%------------------------------------------------------------------------------