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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KLE063+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n014.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 01:51:31 PM UTC 2026

% Result   : Theorem 6.31s 1.22s
% Output   : Proof 6.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  137 ( 128 unt;   0 def)
%            Number of atoms       :  150 ( 142 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  14   ~;   6   |;   4   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :  198 (  19 sgn  70   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).

fof(f16_nnf,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c17,plain,
    domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(t16,plain,
    addition(domain(X1),domain(X2)) = domain(addition(X1,X2)),
    inference(equality_encoding,[status(esa)],[c17]) ).

cnf(t72,plain,
    addition(domain(X1),domain(X2)) = domain(addition(X1,X2)),
    inference(orient,[status(thm)],[t16]) ).

fof(f0,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f0_nnf,plain,
    ! [A,B] : addition(A,B) = addition(B,A),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [A,B] : addition(A,B) = addition(B,A),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(t12,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(t55,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(orient,[status(thm)],[t12]) ).

fof(f11,axiom,
    ! [A,B] :
      ( leq(A,B)
    <=> addition(A,B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).

fof(f11_nnf,plain,
    ! [A,B] :
      ( ( addition(A,B) != B
        | leq(A,B) )
      & ( addition(A,B) = B
        | ~ leq(A,B) ) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [A,B] :
      ( ( addition(A,B) != B
        | leq(A,B) )
      & ( addition(A,B) = B
        | ~ leq(A,B) ) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( addition(X0,X1) = X1
    | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(t22,plain,
    ifeq(leq(X1,X2),true,addition(X1,X2),X2) = X2,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(t31,plain,
    ifeq(leq(X1,X2),true,addition(X1,X2),X2) = X2,
    inference(orient,[status(thm)],[t22]) ).

cnf(c12,plain,
    ( addition(X0,X1) != X1
    | leq(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(t21,plain,
    ifeq(addition(X1,X2),X2,leq(X1,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

cnf(t96,plain,
    ifeq(addition(X1,X2),X2,leq(X1,X2),true) = true,
    inference(orient,[status(thm)],[t21]) ).

fof(f1,axiom,
    ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f1_nnf,plain,
    ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(t19,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(t60,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    inference(orient,[status(thm)],[t19]) ).

fof(f3,axiom,
    ! [A] : addition(A,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f3_nnf,plain,
    ! [A] : addition(A,A) = A,
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [A] : addition(A,A) = A,
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    addition(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(t1,plain,
    addition(X1,X1) = X1,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(t28,plain,
    addition(X1,X1) = X1,
    inference(orient,[status(thm)],[t1]) ).

cnf(t64,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(cp,[status(thm)],[t60,t28]) ).

cnf(t132,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(orient,[status(thm)],[t64]) ).

cnf(t137,plain,
    true = ifeq(addition(X1,X2),addition(X1,X2),leq(X1,addition(X1,X2)),true),
    inference(cp,[status(thm)],[t96,t132]) ).

cnf(t13,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t30,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t13]) ).

cnf(t457,plain,
    true = leq(X1,addition(X1,X2)),
    inference(step,[status(thm)],[t137,t30]) ).

cnf(t138,plain,
    leq(X1,addition(X1,X2)) = true,
    inference(orient,[status(thm)],[t457]) ).

cnf(t143,plain,
    true = leq(X1,addition(X2,X1)),
    inference(cp,[status(thm)],[t138,t55]) ).

cnf(t144,plain,
    leq(X1,addition(X2,X1)) = true,
    inference(orient,[status(thm)],[t143]) ).

cnf(t145,plain,
    true = leq(domain(X1),domain(addition(X2,X1))),
    inference(cp,[status(thm)],[t144,t72]) ).

cnf(t347,plain,
    leq(domain(X1),domain(addition(X2,X1))) = true,
    inference(orient,[status(thm)],[t145]) ).

fof(f7,axiom,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).

fof(f7_nnf,plain,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(t24,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    inference(equality_encoding,[status(esa)],[c7]) ).

cnf(t35,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    inference(orient,[status(thm)],[t24]) ).

fof(f5,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f5_nnf,plain,
    ! [A] : multiplication(A,one) = A,
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [A] : multiplication(A,one) = A,
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(t6,plain,
    multiplication(X1,one) = X1,
    inference(equality_encoding,[status(esa)],[c5]) ).

cnf(t26,plain,
    multiplication(X1,one) = X1,
    inference(orient,[status(thm)],[t6]) ).

cnf(t36,plain,
    multiplication(X1,addition(one,X2)) = addition(X1,multiplication(X1,X2)),
    inference(cp,[status(thm)],[t35,t26]) ).

cnf(t231,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
    inference(orient,[status(thm)],[t36]) ).

cnf(t356,plain,
    true = leq(domain(multiplication(X1,X2)),domain(multiplication(X1,addition(one,X2)))),
    inference(cp,[status(thm)],[t347,t231]) ).

fof(f13,axiom,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f13_nnf,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c14,plain,
    domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(t17,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    inference(equality_encoding,[status(esa)],[c14]) ).

cnf(t79,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    inference(orient,[status(thm)],[t17]) ).

cnf(hi12,axiom,
    ifeq(addition(X0,X1),X1,leq(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

fof(f12,axiom,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f12_nnf,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c13,plain,
    addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(hi13,axiom,
    addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(t14,plain,
    leq(X1,multiplication(domain(X1),X1)) = true,
    inference(hyper_resolution,[status(thm)],[hi12,hi13]) ).

cnf(t89,plain,
    leq(X1,multiplication(domain(X1),X1)) = true,
    inference(orient,[status(thm)],[t14]) ).

cnf(t90,plain,
    true = leq(one,domain(one)),
    inference(cp,[status(thm)],[t89,t26]) ).

cnf(t115,plain,
    leq(one,domain(one)) = true,
    inference(orient,[status(thm)],[t90]) ).

cnf(t116,plain,
    domain(one) = ifeq(true,true,addition(one,domain(one)),domain(one)),
    inference(cp,[status(thm)],[t31,t115]) ).

cnf(t454,plain,
    domain(one) = addition(one,domain(one)),
    inference(step,[status(thm)],[t116,t30]) ).

fof(f14,axiom,
    ! [X0] : addition(domain(X0),one) = one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f14_nnf,plain,
    ! [X0] : addition(domain(X0),one) = one,
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [X0] : addition(domain(X0),one) = one,
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c15,plain,
    addition(domain(X0),one) = one,
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(t10,plain,
    addition(domain(X1),one) = one,
    inference(equality_encoding,[status(esa)],[c15]) ).

cnf(t451,plain,
    addition(one,domain(X1)) = one,
    inference(step,[status(thm)],[t10,t55]) ).

cnf(t76,plain,
    addition(one,domain(X1)) = one,
    inference(orient,[status(thm)],[t451]) ).

cnf(t455,plain,
    domain(one) = one,
    inference(step,[status(thm)],[t454,t76]) ).

cnf(t118,plain,
    domain(one) = one,
    inference(orient,[status(thm)],[t455]) ).

cnf(t119,plain,
    domain(addition(one,X1)) = addition(one,domain(X1)),
    inference(cp,[status(thm)],[t72,t118]) ).

cnf(t456,plain,
    domain(addition(one,X1)) = one,
    inference(step,[status(thm)],[t119,t76]) ).

cnf(t121,plain,
    domain(addition(one,X1)) = one,
    inference(orient,[status(thm)],[t456]) ).

cnf(t125,plain,
    domain(multiplication(X1,addition(one,X2))) = domain(multiplication(X1,one)),
    inference(cp,[status(thm)],[t79,t121]) ).

cnf(t463,plain,
    domain(multiplication(X1,addition(one,X2))) = domain(X1),
    inference(step,[status(thm)],[t125,t26]) ).

cnf(t211,plain,
    domain(multiplication(X1,addition(one,X2))) = domain(X1),
    inference(orient,[status(thm)],[t463]) ).

cnf(t474,plain,
    true = leq(domain(multiplication(X1,X2)),domain(X1)),
    inference(step,[status(thm)],[t356,t211]) ).

cnf(t428,plain,
    leq(domain(multiplication(X1,X2)),domain(X1)) = true,
    inference(orient,[status(thm)],[t474]) ).

fof(f17,conjecture,
    ! [X0,X1] :
      ( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
     => addition(domain(X0),domain(X1)) = domain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f17_neg,negated_conjecture,
    ~ ! [X0,X1] :
        ( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
       => addition(domain(X0),domain(X1)) = domain(X1) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f17_nnf,plain,
    ? [X0,X1] :
      ( addition(domain(X0),domain(X1)) != domain(X1)
      & addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0) ),
    inference(nnf_transformation,[status(thm)],[f17_neg]) ).

fof(f17_sk,plain,
    ( addition(domain(sk0),domain(sk1)) != domain(sk1)
    & addition(sk0,multiplication(domain(sk1),sk0)) = multiplication(domain(sk1),sk0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f17_nnf]) ).

cnf(c18,plain,
    addition(sk0,multiplication(domain(sk1),sk0)) = multiplication(domain(sk1),sk0),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(t20,plain,
    addition(sk0,multiplication(domain(sk1),sk0)) = multiplication(domain(sk1),sk0),
    inference(equality_encoding,[status(esa)],[c18]) ).

cnf(t51,plain,
    addition(sk0,multiplication(domain(sk1),sk0)) = multiplication(domain(sk1),sk0),
    inference(orient,[status(thm)],[t20]) ).

fof(f8,axiom,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).

fof(f8_nnf,plain,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(t25,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(t42,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    inference(orient,[status(thm)],[t25]) ).

fof(f6,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f6_nnf,plain,
    ! [A] : multiplication(one,A) = A,
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [A] : multiplication(one,A) = A,
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(t8,plain,
    multiplication(one,X1) = X1,
    inference(equality_encoding,[status(esa)],[c6]) ).

cnf(t27,plain,
    multiplication(one,X1) = X1,
    inference(orient,[status(thm)],[t8]) ).

cnf(t44,plain,
    multiplication(addition(one,X1),X2) = addition(X2,multiplication(X1,X2)),
    inference(cp,[status(thm)],[t42,t27]) ).

cnf(t241,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
    inference(orient,[status(thm)],[t44]) ).

cnf(t468,plain,
    multiplication(addition(one,domain(sk1)),sk0) = multiplication(domain(sk1),sk0),
    inference(step,[status(thm)],[t51,t241]) ).

cnf(t469,plain,
    multiplication(one,sk0) = multiplication(domain(sk1),sk0),
    inference(step,[status(thm)],[t468,t76]) ).

cnf(t470,plain,
    sk0 = multiplication(domain(sk1),sk0),
    inference(step,[status(thm)],[t469,t27]) ).

cnf(t254,plain,
    sk0 = multiplication(domain(sk1),sk0),
    inference(rw,[status(thm)],[t470]) ).

cnf(t268,plain,
    multiplication(domain(sk1),sk0) = sk0,
    inference(orient,[status(thm)],[t254]) ).

cnf(t429,plain,
    true = leq(domain(sk0),domain(domain(sk1))),
    inference(cp,[status(thm)],[t428,t268]) ).

cnf(t81,plain,
    domain(multiplication(one,X1)) = domain(domain(X1)),
    inference(cp,[status(thm)],[t79,t27]) ).

cnf(t453,plain,
    domain(X1) = domain(domain(X1)),
    inference(step,[status(thm)],[t81,t27]) ).

cnf(t110,plain,
    domain(domain(X1)) = domain(X1),
    inference(orient,[status(thm)],[t453]) ).

cnf(t475,plain,
    true = leq(domain(sk0),domain(sk1)),
    inference(step,[status(thm)],[t429,t110]) ).

cnf(t438,plain,
    leq(domain(sk0),domain(sk1)) = true,
    inference(orient,[status(thm)],[t475]) ).

cnf(t439,plain,
    domain(sk1) = ifeq(true,true,addition(domain(sk0),domain(sk1)),domain(sk1)),
    inference(cp,[status(thm)],[t31,t438]) ).

cnf(t476,plain,
    domain(sk1) = addition(domain(sk0),domain(sk1)),
    inference(step,[status(thm)],[t439,t30]) ).

cnf(t477,plain,
    domain(sk1) = domain(addition(sk0,sk1)),
    inference(step,[status(thm)],[t476,t72]) ).

cnf(t478,plain,
    domain(sk1) = domain(addition(sk1,sk0)),
    inference(step,[status(thm)],[t477,t55]) ).

cnf(t441,plain,
    domain(addition(sk1,sk0)) = domain(sk1),
    inference(orient,[status(thm)],[t478]) ).

cnf(c19,plain,
    addition(domain(sk0),domain(sk1)) != domain(sk1),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(goal_0,negated_conjecture,
    addition(domain(sk0),domain(sk1)) != domain(sk1),
    inference(equality_encoding,[status(esa)],[c19]) ).

cnf(g0_0,plain,
    domain(addition(sk0,sk1)) != domain(sk1),
    inference(rw,[status(thm)],[goal_0,t72]) ).

cnf(g0_1,plain,
    domain(addition(sk1,sk0)) != domain(sk1),
    inference(rw,[status(thm)],[g0_0,t55]) ).

cnf(g0_2,plain,
    domain(sk1) != domain(sk1),
    inference(rw,[status(thm)],[g0_1,t441]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE063+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.36  % Computer : n014.cluster.edu
% 0.07/0.36  % Model    : x86_64 x86_64
% 0.07/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36  % Memory   : 8046.5625MB
% 0.07/0.36  % OS       : Linux 6.8.0-71-generic
% 0.07/0.36  % CPULimit : 300
% 0.07/0.36  % WCLimit  : 300
% 0.07/0.36  % DateTime : Wed Sep 23 18:49:19 UTC 2026
% 0.07/0.37  % CPUTime  : 
% 0.07/0.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.31/1.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.31/1.22  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------