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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP180-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 : Thu Sep 24 12:38:52 PM UTC 2026

% Result   : Unsatisfiable 64.83s 13.70s
% Output   : CNFRefutation 64.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   89 (  89 unt;   0 nHn;   6 RR)
%            Number of literals    :   89 (  88 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  161 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p11_3,hypothesis,
    inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_3) ).

cnf(p11_1,hypothesis,
    inverse(identity) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(p11_2,hypothesis,
    inverse(inverse(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_2) ).

cnf(monotony_glb1,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(monotony_glb2,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(monotony_lub2,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(monotony_lub1,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(associativity_of_glb,axiom,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(prove_p11,negated_conjecture,
    multiply(a,multiply(inverse(greatest_lower_bound(a,b)),b)) != least_upper_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p11) ).

cnf(c_0_17,hypothesis,
    inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
    p11_3 ).

cnf(c_0_18,hypothesis,
    inverse(identity) = identity,
    p11_1 ).

cnf(c_0_19,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_20,hypothesis,
    multiply(inverse(X1),identity) = inverse(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_21,hypothesis,
    inverse(inverse(X1)) = X1,
    p11_2 ).

cnf(c_0_22,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_glb1 ).

cnf(c_0_23,hypothesis,
    multiply(X1,identity) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    symmetry_of_glb ).

cnf(c_0_25,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_glb2 ).

cnf(c_0_26,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_27,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_lub2 ).

cnf(c_0_28,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_29,hypothesis,
    greatest_lower_bound(X1,multiply(X1,X2)) = multiply(X1,greatest_lower_bound(X2,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_30,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    lub_absorbtion ).

cnf(c_0_31,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_lub1 ).

cnf(c_0_32,plain,
    greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(X2,identity),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_24]) ).

cnf(c_0_33,hypothesis,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_34,plain,
    least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(X2,identity),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_19]),c_0_28]) ).

cnf(c_0_35,hypothesis,
    multiply(inverse(X1),greatest_lower_bound(X1,identity)) = greatest_lower_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_24]) ).

cnf(c_0_36,axiom,
    greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
    glb_absorbtion ).

cnf(c_0_37,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    associativity_of_lub ).

cnf(c_0_38,plain,
    least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_39,hypothesis,
    least_upper_bound(X1,multiply(X1,X2)) = multiply(X1,least_upper_bound(X2,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_28]) ).

cnf(c_0_40,hypothesis,
    multiply(greatest_lower_bound(X1,identity),inverse(X1)) = greatest_lower_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24]) ).

cnf(c_0_41,hypothesis,
    least_upper_bound(greatest_lower_bound(X1,identity),greatest_lower_bound(identity,inverse(X1))) = multiply(least_upper_bound(identity,inverse(X1)),greatest_lower_bound(X1,identity)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]) ).

cnf(c_0_42,axiom,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3),
    associativity_of_glb ).

cnf(c_0_43,plain,
    greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_36,c_0_28]) ).

cnf(c_0_44,plain,
    least_upper_bound(X1,least_upper_bound(greatest_lower_bound(X2,X1),X3)) = least_upper_bound(X1,X3),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,hypothesis,
    multiply(least_upper_bound(identity,inverse(X1)),greatest_lower_bound(X1,identity)) = multiply(greatest_lower_bound(X1,identity),least_upper_bound(identity,inverse(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_41]) ).

cnf(c_0_46,plain,
    greatest_lower_bound(X1,greatest_lower_bound(least_upper_bound(X1,X2),X3)) = greatest_lower_bound(X1,X3),
    inference(spm,[status(thm)],[c_0_42,c_0_36]) ).

cnf(c_0_47,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_48,plain,
    multiply(greatest_lower_bound(identity,inverse(X1)),X1) = greatest_lower_bound(X1,identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_24]) ).

cnf(c_0_49,plain,
    greatest_lower_bound(least_upper_bound(X1,X2),least_upper_bound(greatest_lower_bound(X3,X1),X2)) = least_upper_bound(greatest_lower_bound(X3,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_24]) ).

cnf(c_0_50,hypothesis,
    least_upper_bound(greatest_lower_bound(X1,identity),greatest_lower_bound(identity,inverse(X1))) = multiply(greatest_lower_bound(X1,identity),least_upper_bound(identity,inverse(X1))),
    inference(rw,[status(thm)],[c_0_41,c_0_45]) ).

cnf(c_0_51,plain,
    greatest_lower_bound(X1,multiply(greatest_lower_bound(X2,identity),least_upper_bound(X1,X3))) = greatest_lower_bound(X1,multiply(X2,least_upper_bound(X1,X3))),
    inference(spm,[status(thm)],[c_0_46,c_0_32]) ).

cnf(c_0_52,hypothesis,
    multiply(X1,least_upper_bound(X2,inverse(X1))) = least_upper_bound(identity,multiply(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_28]) ).

cnf(c_0_53,hypothesis,
    multiply(X1,least_upper_bound(identity,inverse(X1))) = least_upper_bound(X1,identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_28]) ).

cnf(c_0_54,hypothesis,
    inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
    inference(spm,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_55,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_26]),c_0_19]) ).

cnf(c_0_56,hypothesis,
    multiply(greatest_lower_bound(identity,X1),inverse(X1)) = greatest_lower_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_21]),c_0_24]) ).

cnf(c_0_57,hypothesis,
    multiply(greatest_lower_bound(X1,identity),least_upper_bound(identity,inverse(X1))) = identity,
    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_49,c_0_50]),c_0_30]),c_0_51]),c_0_52]),c_0_23]),c_0_36]) ).

cnf(c_0_58,plain,
    multiply(least_upper_bound(identity,inverse(X1)),X1) = least_upper_bound(X1,identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_28]) ).

cnf(c_0_59,hypothesis,
    multiply(inverse(X1),least_upper_bound(identity,X1)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_21]),c_0_28]) ).

cnf(c_0_60,hypothesis,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_19]) ).

cnf(c_0_61,hypothesis,
    inverse(greatest_lower_bound(identity,inverse(X1))) = multiply(inverse(greatest_lower_bound(X1,identity)),X1),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

cnf(c_0_62,hypothesis,
    multiply(inverse(greatest_lower_bound(identity,X1)),greatest_lower_bound(identity,inverse(X1))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,hypothesis,
    inverse(greatest_lower_bound(X1,identity)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_57]),c_0_23]) ).

cnf(c_0_64,plain,
    greatest_lower_bound(X1,greatest_lower_bound(X2,X1)) = greatest_lower_bound(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_42]) ).

cnf(c_0_65,hypothesis,
    multiply(least_upper_bound(identity,X1),inverse(X1)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_28]) ).

cnf(c_0_66,hypothesis,
    greatest_lower_bound(least_upper_bound(identity,X1),least_upper_bound(identity,inverse(X1))) = multiply(greatest_lower_bound(identity,inverse(X1)),least_upper_bound(identity,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_24]) ).

cnf(c_0_67,hypothesis,
    least_upper_bound(X1,multiply(X2,multiply(inverse(X3),X1))) = multiply(least_upper_bound(X3,X2),multiply(inverse(X3),X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_60]) ).

cnf(c_0_68,plain,
    least_upper_bound(X1,multiply(X2,multiply(X3,X1))) = multiply(least_upper_bound(identity,multiply(X2,X3)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_28]) ).

cnf(c_0_69,hypothesis,
    greatest_lower_bound(inverse(greatest_lower_bound(X1,identity)),inverse(greatest_lower_bound(identity,inverse(X1)))) = identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_61]),c_0_26]) ).

cnf(c_0_70,hypothesis,
    inverse(greatest_lower_bound(identity,X1)) = least_upper_bound(identity,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_36]),c_0_23]) ).

cnf(c_0_71,hypothesis,
    multiply(greatest_lower_bound(identity,inverse(X1)),least_upper_bound(identity,X1)) = multiply(least_upper_bound(identity,X1),greatest_lower_bound(identity,inverse(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_65]),c_0_24]),c_0_66]) ).

cnf(c_0_72,hypothesis,
    multiply(least_upper_bound(identity,multiply(X1,inverse(X2))),X3) = multiply(least_upper_bound(X2,X1),multiply(inverse(X2),X3)),
    inference(rw,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,hypothesis,
    multiply(least_upper_bound(identity,X1),greatest_lower_bound(identity,inverse(X1))) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_63]),c_0_70]),c_0_21]),c_0_24]),c_0_66]),c_0_71]) ).

cnf(c_0_74,hypothesis,
    inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
    inference(spm,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_75,plain,
    multiply(inverse(X1),greatest_lower_bound(X2,multiply(X1,X3))) = greatest_lower_bound(multiply(inverse(X1),X2),X3),
    inference(spm,[status(thm)],[c_0_22,c_0_55]) ).

cnf(c_0_76,hypothesis,
    greatest_lower_bound(inverse(X1),inverse(multiply(X1,X2))) = multiply(greatest_lower_bound(identity,inverse(X2)),inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_24]) ).

cnf(c_0_77,hypothesis,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_17]),c_0_21]) ).

cnf(c_0_78,plain,
    greatest_lower_bound(identity,multiply(inverse(X1),X2)) = multiply(inverse(X1),greatest_lower_bound(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_26]),c_0_24]) ).

cnf(c_0_79,hypothesis,
    multiply(least_upper_bound(X1,X2),greatest_lower_bound(inverse(X1),inverse(X2))) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),c_0_23]) ).

cnf(c_0_80,hypothesis,
    multiply(greatest_lower_bound(identity,multiply(X1,X2)),inverse(X2)) = greatest_lower_bound(inverse(X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_21]),c_0_21]) ).

cnf(c_0_81,plain,
    multiply(greatest_lower_bound(identity,multiply(inverse(X1),X2)),X3) = multiply(inverse(X1),multiply(greatest_lower_bound(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_47,c_0_78]) ).

cnf(c_0_82,hypothesis,
    greatest_lower_bound(inverse(X1),inverse(X2)) = inverse(least_upper_bound(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_79]),c_0_23]) ).

cnf(c_0_83,negated_conjecture,
    multiply(a,multiply(inverse(greatest_lower_bound(a,b)),b)) != least_upper_bound(a,b),
    inference(fof_simplification,[status(thm)],[prove_p11]) ).

cnf(c_0_84,hypothesis,
    inverse(multiply(X1,multiply(X2,inverse(X3)))) = multiply(X3,inverse(multiply(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_74]),c_0_47]),c_0_17]) ).

cnf(c_0_85,hypothesis,
    multiply(inverse(X1),multiply(greatest_lower_bound(X2,X1),inverse(X2))) = inverse(least_upper_bound(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_86,negated_conjecture,
    multiply(a,multiply(inverse(greatest_lower_bound(a,b)),b)) != least_upper_bound(a,b),
    c_0_83 ).

cnf(c_0_87,hypothesis,
    multiply(X1,multiply(inverse(greatest_lower_bound(X1,X2)),X2)) = least_upper_bound(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_21]),c_0_54]) ).

cnf(c_0_88,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP180-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38  % Computer : n018.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Sun Sep 20 20:06:48 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.83/13.70  % Version: 3.5.1
% 64.83/13.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 64.83/13.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.83/13.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 64.83/13.70  % Starting new_bool_3 with 300s (1) cores
% 64.83/13.70  % Starting new_bool_1 with 300s (1) cores
% 64.83/13.70  % Starting sh5l with 300s (1) cores
% 64.83/13.70  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 71014 completed with status 0
% 64.83/13.70  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 64.83/13.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 64.83/13.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.83/13.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 64.83/13.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.83/13.70  % No SInE strategy applied
% 64.83/13.70  % Search class: FUUPM-FFSF21-MFFFFFNN
% 64.83/13.70  % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 64.83/13.70  % Starting SubtermCWHack with 136s (1) cores
% 64.83/13.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 64.83/13.70  % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 64.83/13.70  % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 64.83/13.70  % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 64.83/13.70  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 71019 completed with status 0
% 64.83/13.70  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 64.83/13.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 64.83/13.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.83/13.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 64.83/13.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.83/13.70  % No SInE strategy applied
% 64.83/13.70  % Search class: FUUPM-FFSF21-MFFFFFNN
% 64.83/13.70  % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 64.83/13.70  % Starting SubtermCWHack with 136s (1) cores
% 64.83/13.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 64.83/13.70  % Preprocessing time       : 0.001 s
% 64.83/13.70  % Presaturation interreduction done
% 64.83/13.70  
% 64.83/13.70  % Proof found!
% 64.83/13.70  % SZS status Unsatisfiable
% 64.83/13.70  % SZS output start CNFRefutation
% See solution above
% 64.83/13.70  % Parsed axioms                        : 19
% 64.83/13.70  % Removed by relevancy pruning/SinE    : 0
% 64.83/13.70  % Initial clauses                      : 19
% 64.83/13.70  % Removed in clause preprocessing      : 0
% 64.83/13.70  % Initial clauses in saturation        : 19
% 64.83/13.70  % Processed clauses                    : 14547
% 64.83/13.70  % ...of these trivial                  : 5644
% 64.83/13.70  % ...subsumed                          : 7681
% 64.83/13.70  % ...remaining for further processing  : 1222
% 64.83/13.70  % Other redundant clauses eliminated   : 0
% 64.83/13.70  % Clauses deleted for lack of memory   : 0
% 64.83/13.70  % Backward-subsumed                    : 1
% 64.83/13.70  % Backward-rewritten                   : 260
% 64.83/13.70  % Generated clauses                    : 505784
% 64.83/13.70  % ...of the previous two non-redundant : 361565
% 64.83/13.70  % ...aggressively subsumed             : 0
% 64.83/13.70  % Contextual simplify-reflections      : 0
% 64.83/13.70  % Paramodulations                      : 505784
% 64.83/13.70  % Factorizations                       : 0
% 64.83/13.70  % NegExts                              : 0
% 64.83/13.70  % Equation resolutions                 : 0
% 64.83/13.70  % Disequality decompositions           : 0
% 64.83/13.70  % Total rewrite steps                  : 929035
% 64.83/13.70  % ...of those cached                   : 790405
% 64.83/13.70  % Propositional unsat checks           : 0
% 64.83/13.70  %    Propositional check models        : 0
% 64.83/13.70  %    Propositional check unsatisfiable : 0
% 64.83/13.70  %    Propositional clauses             : 0
% 64.83/13.70  %    Propositional clauses after purity: 0
% 64.83/13.70  %    Propositional unsat core size     : 0
% 64.83/13.70  %    Propositional preprocessing time  : 0.000
% 64.83/13.70  %    Propositional encoding time       : 0.000
% 64.83/13.70  %    Propositional solver time         : 0.000
% 64.83/13.70  %    Success case prop preproc time    : 0.000
% 64.83/13.70  %    Success case prop encoding time   : 0.000
% 64.83/13.70  %    Success case prop solver time     : 0.000
% 64.83/13.70  % Current number of processed clauses  : 942
% 64.83/13.70  %    Positive orientable unit clauses  : 878
% 64.83/13.70  %    Positive unorientable unit clauses: 64
% 64.83/13.70  %    Negative unit clauses             : 0
% 64.83/13.70  %    Non-unit-clauses                  : 0
% 64.83/13.70  % Current number of unprocessed clauses: 345688
% 64.83/13.70  % ...number of literals in the above   : 345688
% 64.83/13.70  % Current number of archived formulas  : 0
% 64.83/13.70  % Current number of archived clauses   : 280
% 64.83/13.70  % Clause-clause subsumption calls (NU) : 0
% 64.83/13.70  % Rec. Clause-clause subsumption calls : 0
% 64.83/13.70  % Non-unit clause-clause subsumptions  : 0
% 64.83/13.70  % Unit Clause-clause subsumption calls : 524
% 64.83/13.70  % Rewrite failures with RHS unbound    : 0
% 64.83/13.70  % BW rewrite match attempts            : 4789
% 64.83/13.70  % BW rewrite match successes           : 602
% 64.83/13.70  % Condensation attempts                : 0
% 64.83/13.70  % Condensation successes               : 0
% 64.83/13.70  % Termbank termtop insertions          : 7683824
% 64.83/13.70  % Search garbage collected termcells   : 2
% 64.83/13.70  
% 64.83/13.70  % -------------------------------------------------
% 64.83/13.70  % User time                : 7.640 s
% 64.83/13.70  % System time              : 0.361 s
% 64.83/13.70  % Total time               : 8.000 s
% 64.83/13.70  % Maximum resident set size: 3644 pages
% 64.83/13.70  
% 64.83/13.70  % -------------------------------------------------
% 64.83/13.70  % User time                : 38.572 s
% 64.83/13.70  % System time              : 1.799 s
% 64.83/13.70  % Total time               : 40.371 s
% 64.83/13.70  % Maximum resident set size: 4864 pages
% 64.83/13.70  % E exiting
%------------------------------------------------------------------------------