TSTP Solution File: RNG004-10 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : RNG004-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:48:21 EDT 2023

% Result   : Unsatisfiable 43.08s 43.13s
% Output   : CNFRefutation 43.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   99 (  86 unt;  13 typ;   0 def)
%            Number of atoms       :   86 (  85 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   19 (   7   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :  190 (   4 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    ifeq2: ( $i * $i * $i * $i ) > $i ).

tff(decl_23,type,
    ifeq: ( $i * $i * $i * $i ) > $i ).

tff(decl_24,type,
    additive_identity: $i ).

tff(decl_25,type,
    sum: ( $i * $i * $i ) > $i ).

tff(decl_26,type,
    true: $i ).

tff(decl_27,type,
    multiply: ( $i * $i ) > $i ).

tff(decl_28,type,
    product: ( $i * $i * $i ) > $i ).

tff(decl_29,type,
    add: ( $i * $i ) > $i ).

tff(decl_30,type,
    additive_inverse: $i > $i ).

tff(decl_31,type,
    a: $i ).

tff(decl_32,type,
    b: $i ).

tff(decl_33,type,
    c: $i ).

tff(decl_34,type,
    d: $i ).

cnf(associativity_of_addition2,axiom,
    ifeq(sum(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X1,X6),true,sum(X6,X2,X5),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).

cnf(left_inverse,axiom,
    sum(additive_inverse(X1),X1,additive_identity) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

cnf(ifeq_axiom_001,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(closure_of_addition,axiom,
    sum(X1,X2,add(X1,X2)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).

cnf(addition_is_well_defined,axiom,
    ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).

cnf(additive_identity1,axiom,
    sum(additive_identity,X1,X1) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).

cnf(ifeq_axiom,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(distributivity3,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).

cnf(multiplication_is_well_defined,axiom,
    ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

cnf(a_inverse_times_b_inverse,hypothesis,
    product(additive_inverse(a),additive_inverse(b),d) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).

cnf(commutativity_of_addition,axiom,
    ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

cnf(closure_of_multiplication,axiom,
    product(X1,X2,multiply(X1,X2)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).

cnf(additive_identity2,axiom,
    sum(X1,additive_identity,X1) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).

cnf(distributivity2,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X2,X7),true,product(X1,X7,X6),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).

cnf(distributivity1,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(product(X1,X6,X7),true,ifeq(sum(X6,X4,X2),true,sum(X7,X5,X3),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).

cnf(a_times_b,hypothesis,
    product(a,b,c) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).

cnf(prove_c_equals_d,negated_conjecture,
    c != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).

cnf(c_0_17,axiom,
    ifeq(sum(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X1,X6),true,sum(X6,X2,X5),true),true),true) = true,
    associativity_of_addition2 ).

cnf(c_0_18,axiom,
    sum(additive_inverse(X1),X1,additive_identity) = true,
    left_inverse ).

cnf(c_0_19,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom_001 ).

cnf(c_0_20,plain,
    ifeq(sum(X1,X2,X3),true,ifeq(sum(additive_inverse(X1),X3,X4),true,sum(additive_identity,X2,X4),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_21,axiom,
    sum(X1,X2,add(X1,X2)) = true,
    closure_of_addition ).

cnf(c_0_22,axiom,
    ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3,
    addition_is_well_defined ).

cnf(c_0_23,axiom,
    sum(additive_identity,X1,X1) = true,
    additive_identity1 ).

cnf(c_0_24,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_25,plain,
    ifeq(sum(X1,X2,X3),true,sum(additive_identity,X2,add(additive_inverse(X1),X3)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).

cnf(c_0_26,plain,
    ifeq2(sum(additive_identity,X1,X2),true,X1,X2) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) = true,
    distributivity3 ).

cnf(c_0_28,axiom,
    ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
    multiplication_is_well_defined ).

cnf(c_0_29,hypothesis,
    product(additive_inverse(a),additive_inverse(b),d) = true,
    a_inverse_times_b_inverse ).

cnf(c_0_30,axiom,
    ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
    commutativity_of_addition ).

cnf(c_0_31,plain,
    ifeq2(sum(X1,X2,X3),true,add(X1,X2),X3) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_24]) ).

cnf(c_0_32,plain,
    sum(additive_identity,X1,add(additive_inverse(X2),add(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_19]) ).

cnf(c_0_33,plain,
    add(additive_identity,X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_24]) ).

cnf(c_0_34,plain,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,ifeq(product(additive_identity,X2,X5),true,sum(X5,X4,X3),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_19]) ).

cnf(c_0_35,hypothesis,
    ifeq2(product(additive_inverse(a),additive_inverse(b),X1),true,X1,d) = d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24]) ).

cnf(c_0_36,axiom,
    product(X1,X2,multiply(X1,X2)) = true,
    closure_of_multiplication ).

cnf(c_0_37,axiom,
    sum(X1,additive_identity,X1) = true,
    additive_identity2 ).

cnf(c_0_38,plain,
    sum(X1,X2,add(X2,X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_19]) ).

cnf(c_0_39,plain,
    add(additive_inverse(X1),add(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_24]) ).

cnf(c_0_40,hypothesis,
    ifeq(product(additive_inverse(a),additive_inverse(b),X1),true,ifeq(product(additive_identity,additive_inverse(b),X2),true,sum(X2,d,X1),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_19]) ).

cnf(c_0_41,hypothesis,
    multiply(additive_inverse(a),additive_inverse(b)) = d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24]) ).

cnf(c_0_42,plain,
    ifeq(sum(X1,X2,additive_identity),true,ifeq(sum(X3,X1,X4),true,sum(X4,X2,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_37]),c_0_19]) ).

cnf(c_0_43,plain,
    sum(add(X1,X2),additive_inverse(X1),X2) = true,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    add(X1,additive_identity) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_38]),c_0_24]) ).

cnf(c_0_45,hypothesis,
    ifeq(product(additive_identity,additive_inverse(b),X1),true,sum(X1,d,d),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_41]),c_0_19]) ).

cnf(c_0_46,plain,
    ifeq(sum(X1,X2,X3),true,sum(X3,additive_inverse(X2),X1),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_19]) ).

cnf(c_0_47,hypothesis,
    sum(multiply(additive_identity,additive_inverse(b)),d,d) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_19]) ).

cnf(c_0_48,plain,
    ifeq2(sum(additive_inverse(X1),X1,X2),true,additive_identity,X2) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_24]) ).

cnf(c_0_49,hypothesis,
    sum(d,additive_inverse(d),multiply(additive_identity,additive_inverse(b))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19]) ).

cnf(c_0_50,plain,
    add(X1,additive_inverse(X1)) = additive_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38]),c_0_24]) ).

cnf(c_0_51,plain,
    ifeq(product(additive_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(additive_inverse(X3),X1,X5),true,sum(X5,X4,X2),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_19]) ).

cnf(c_0_52,hypothesis,
    multiply(additive_identity,additive_inverse(b)) = additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_49]),c_0_50]),c_0_24]) ).

cnf(c_0_53,hypothesis,
    ifeq(product(additive_identity,additive_inverse(b),X1),true,ifeq(product(a,additive_inverse(b),X2),true,sum(d,X2,X1),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_19]) ).

cnf(c_0_54,hypothesis,
    product(additive_identity,additive_inverse(b),additive_identity) = true,
    inference(spm,[status(thm)],[c_0_36,c_0_52]) ).

cnf(c_0_55,hypothesis,
    ifeq(product(a,additive_inverse(b),X1),true,sum(d,X1,additive_identity),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_19]) ).

cnf(c_0_56,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X2,X7),true,product(X1,X7,X6),true),true),true),true) = true,
    distributivity2 ).

cnf(c_0_57,plain,
    ifeq(sum(X1,X2,X3),true,sum(additive_identity,X2,add(X3,additive_inverse(X1))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_38]),c_0_19]) ).

cnf(c_0_58,hypothesis,
    sum(d,multiply(a,additive_inverse(b)),additive_identity) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_36]),c_0_19]) ).

cnf(c_0_59,plain,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,additive_inverse(X2),X4),true,ifeq(sum(X4,X3,X5),true,product(X1,additive_identity,X5),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_18]),c_0_19]) ).

cnf(c_0_60,hypothesis,
    sum(additive_identity,multiply(a,additive_inverse(b)),additive_inverse(d)) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_33]),c_0_19]) ).

cnf(c_0_61,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(product(X1,X6,X7),true,ifeq(sum(X6,X4,X2),true,sum(X7,X5,X3),true),true),true),true) = true,
    distributivity1 ).

cnf(c_0_62,hypothesis,
    product(a,b,c) = true,
    a_times_b ).

cnf(c_0_63,plain,
    ifeq(product(X1,X2,X3),true,ifeq(sum(multiply(X1,additive_inverse(X2)),X3,X4),true,product(X1,additive_identity,X4),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_36]),c_0_19]) ).

cnf(c_0_64,hypothesis,
    multiply(a,additive_inverse(b)) = additive_inverse(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_33]),c_0_24]) ).

cnf(c_0_65,plain,
    ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,ifeq(product(X1,additive_identity,X5),true,sum(X5,X4,X3),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_23]),c_0_19]) ).

cnf(c_0_66,hypothesis,
    ifeq2(product(a,b,X1),true,X1,c) = c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_62]),c_0_24]) ).

cnf(c_0_67,hypothesis,
    ifeq(sum(additive_inverse(d),c,X1),true,product(a,additive_identity,X1),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_64]),c_0_19]) ).

cnf(c_0_68,plain,
    add(X1,X2) = add(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_24]) ).

cnf(c_0_69,plain,
    ifeq(sum(X1,X2,additive_identity),true,sum(additive_identity,X2,additive_inverse(X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_37]),c_0_19]) ).

cnf(c_0_70,hypothesis,
    ifeq(product(a,b,X1),true,ifeq(product(a,additive_identity,X2),true,sum(X2,c,X1),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_62]),c_0_19]) ).

cnf(c_0_71,hypothesis,
    multiply(a,b) = c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_36]),c_0_24]) ).

cnf(c_0_72,plain,
    ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_24]) ).

cnf(c_0_73,hypothesis,
    product(a,additive_identity,add(c,additive_inverse(d))) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_21]),c_0_19]),c_0_68]) ).

cnf(c_0_74,plain,
    add(additive_inverse(X1),add(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_68]) ).

cnf(c_0_75,plain,
    sum(additive_identity,X1,additive_inverse(additive_inverse(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_18]),c_0_19]) ).

cnf(c_0_76,hypothesis,
    ifeq(product(a,additive_identity,X1),true,sum(X1,c,c),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_36]),c_0_71]),c_0_19]) ).

cnf(c_0_77,hypothesis,
    multiply(a,additive_identity) = add(c,additive_inverse(d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_24]) ).

cnf(c_0_78,plain,
    add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_74]),c_0_68]) ).

cnf(c_0_79,plain,
    additive_inverse(additive_inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_75]),c_0_33]),c_0_24]) ).

cnf(c_0_80,hypothesis,
    sum(add(c,additive_inverse(d)),c,c) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_36]),c_0_77]),c_0_19]) ).

cnf(c_0_81,plain,
    additive_inverse(add(X1,X2)) = add(additive_inverse(X1),additive_inverse(X2)),
    inference(spm,[status(thm)],[c_0_39,c_0_78]) ).

cnf(c_0_82,plain,
    add(X1,add(X2,additive_inverse(X1))) = X2,
    inference(spm,[status(thm)],[c_0_74,c_0_79]) ).

cnf(c_0_83,hypothesis,
    sum(additive_identity,c,d) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_80]),c_0_81]),c_0_79]),c_0_68]),c_0_82]),c_0_19]) ).

cnf(c_0_84,negated_conjecture,
    c != d,
    prove_c_equals_d ).

cnf(c_0_85,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_33]),c_0_24]),c_0_84]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG004-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.35  % Computer : n028.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Sun Aug 27 01:49:08 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.21/0.62  start to proof: theBenchmark
% 43.08/43.13  % Version  : CSE_E---1.5
% 43.08/43.13  % Problem  : theBenchmark.p
% 43.08/43.13  % Proof found
% 43.08/43.13  % SZS status Theorem for theBenchmark.p
% 43.08/43.13  % SZS output start Proof
% See solution above
% 43.08/43.13  % Total time : 42.501000 s
% 43.08/43.13  % SZS output end Proof
% 43.08/43.13  % Total time : 42.506000 s
%------------------------------------------------------------------------------