TSTP Solution File: GRP002-10 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:43:25 EDT 2023

% Result   : Unsatisfiable 5.79s 1.17s
% Output   : CNFRefutation 5.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of clauses     :  105 ( 105 unt;   0 nHn;  29 RR)
%            Number of literals    :  105 ( 104 equ;   2 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    :   14 (  14 usr;   9 con; 0-4 aty)
%            Number of variables   :  161 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity2,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',associativity2) ).

cnf(d_times_inverse_b_is_h,negated_conjecture,
    product(d,inverse(b),h) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',d_times_inverse_b_is_h) ).

cnf(ifeq_axiom_001,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',ifeq_axiom_001) ).

cnf(total_function2,axiom,
    ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',total_function2) ).

cnf(right_identity,axiom,
    product(X1,identity,X1) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',right_identity) ).

cnf(ifeq_axiom,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',ifeq_axiom) ).

cnf(left_identity,axiom,
    product(identity,X1,X1) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',left_identity) ).

cnf(left_inverse,axiom,
    product(inverse(X1),X1,identity) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',left_inverse) ).

cnf(total_function1,axiom,
    product(X1,X2,multiply(X1,X2)) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',total_function1) ).

cnf(h_times_b_is_j,negated_conjecture,
    product(h,b,j) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',h_times_b_is_j) ).

cnf(associativity1,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',associativity1) ).

cnf(x_cubed_is_identity_2,hypothesis,
    ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',x_cubed_is_identity_2) ).

cnf(c_times_inverse_a_is_d,negated_conjecture,
    product(c,inverse(a),d) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',c_times_inverse_a_is_d) ).

cnf(a_times_b_is_c,negated_conjecture,
    product(a,b,c) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',a_times_b_is_c) ).

cnf(right_inverse,axiom,
    product(X1,inverse(X1),identity) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',right_inverse) ).

cnf(j_times_inverse_h_is_k,negated_conjecture,
    product(j,inverse(h),k) = true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',j_times_inverse_h_is_k) ).

cnf(prove_k_times_inverse_b_is_e,negated_conjecture,
    product(k,inverse(b),identity) != true,
    file('/export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p',prove_k_times_inverse_b_is_e) ).

cnf(c_0_17,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,ifeq(product(X4,X1,X6),true,product(X6,X2,X5),true),true),true) = true,
    associativity2 ).

cnf(c_0_18,negated_conjecture,
    product(d,inverse(b),h) = true,
    d_times_inverse_b_is_h ).

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

cnf(c_0_20,axiom,
    ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
    total_function2 ).

cnf(c_0_21,axiom,
    product(X1,identity,X1) = true,
    right_identity ).

cnf(c_0_22,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_23,axiom,
    product(identity,X1,X1) = true,
    left_identity ).

cnf(c_0_24,negated_conjecture,
    ifeq(product(inverse(b),X1,X2),true,ifeq(product(d,X2,X3),true,product(h,X1,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_25,axiom,
    product(inverse(X1),X1,identity) = true,
    left_inverse ).

cnf(c_0_26,plain,
    ifeq2(product(X1,identity,X2),true,X1,X2) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_27,axiom,
    product(X1,X2,multiply(X1,X2)) = true,
    total_function1 ).

cnf(c_0_28,negated_conjecture,
    product(h,b,j) = true,
    h_times_b_is_j ).

cnf(c_0_29,axiom,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X4,X1),true,product(X6,X5,X3),true),true),true) = true,
    associativity1 ).

cnf(c_0_30,plain,
    ifeq2(product(identity,X1,X2),true,X1,X2) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_22]) ).

cnf(c_0_31,plain,
    ifeq(product(X1,X2,identity),true,ifeq(product(X3,X1,X4),true,product(X4,X2,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    ifeq(product(d,identity,X1),true,product(h,b,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]) ).

cnf(c_0_33,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22]) ).

cnf(c_0_34,negated_conjecture,
    ifeq2(product(h,b,X1),true,X1,j) = j,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_22]) ).

cnf(c_0_35,plain,
    ifeq(product(identity,X1,X2),true,ifeq(product(X3,X1,X4),true,product(inverse(X3),X4,X2),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_19]) ).

cnf(c_0_36,plain,
    multiply(identity,X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_22]) ).

cnf(c_0_37,plain,
    ifeq(product(X1,inverse(X2),X3),true,product(X3,X2,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_19]) ).

cnf(c_0_38,hypothesis,
    ifeq(product(X1,X1,X2),true,product(X2,X1,identity),true) = true,
    x_cubed_is_identity_2 ).

cnf(c_0_39,negated_conjecture,
    product(c,inverse(a),d) = true,
    c_times_inverse_a_is_d ).

cnf(c_0_40,plain,
    ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_22]) ).

cnf(c_0_41,negated_conjecture,
    product(h,b,d) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_33]),c_0_19]) ).

cnf(c_0_42,negated_conjecture,
    multiply(h,b) = j,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_22]) ).

cnf(c_0_43,plain,
    ifeq(product(X1,X2,X3),true,product(inverse(X1),X3,X2),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_36]),c_0_19]) ).

cnf(c_0_44,plain,
    product(identity,X1,inverse(inverse(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_19]) ).

cnf(c_0_45,plain,
    product(multiply(X1,inverse(X2)),X2,X1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_19]) ).

cnf(c_0_46,hypothesis,
    product(multiply(X1,X1),X1,identity) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_19]) ).

cnf(c_0_47,negated_conjecture,
    ifeq(product(inverse(a),X1,X2),true,ifeq(product(c,X2,X3),true,product(d,X1,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_39]),c_0_19]) ).

cnf(c_0_48,negated_conjecture,
    d = j,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_22]) ).

cnf(c_0_49,plain,
    product(inverse(X1),multiply(X1,X2),X2) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_19]) ).

cnf(c_0_50,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_36]),c_0_22]) ).

cnf(c_0_51,plain,
    multiply(multiply(X1,inverse(X2)),X2) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_22]) ).

cnf(c_0_52,hypothesis,
    multiply(multiply(X1,X1),X1) = identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_46]),c_0_22]) ).

cnf(c_0_53,negated_conjecture,
    ifeq(product(inverse(a),X1,X2),true,product(j,X1,multiply(c,X2)),true) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_19]),c_0_48]) ).

cnf(c_0_54,plain,
    product(X1,multiply(inverse(X1),X2),X2) = true,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,hypothesis,
    multiply(inverse(X1),inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    product(a,b,c) = true,
    a_times_b_is_c ).

cnf(c_0_57,axiom,
    product(X1,inverse(X1),identity) = true,
    right_inverse ).

cnf(c_0_58,negated_conjecture,
    product(j,multiply(a,X1),multiply(c,X1)) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_50]),c_0_19]) ).

cnf(c_0_59,hypothesis,
    multiply(X1,X1) = inverse(X1),
    inference(spm,[status(thm)],[c_0_51,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ifeq(product(b,X1,X2),true,ifeq(product(h,X2,X3),true,product(j,X1,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_19]) ).

cnf(c_0_61,negated_conjecture,
    ifeq(product(b,X1,X2),true,ifeq(product(a,X2,X3),true,product(c,X1,X3),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_56]),c_0_19]) ).

cnf(c_0_62,plain,
    ifeq(product(X1,X2,X3),true,product(X3,inverse(X2),X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_57]),c_0_19]) ).

cnf(c_0_63,hypothesis,
    product(j,multiply(a,c),inverse(c)) = true,
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ifeq(product(b,X1,X2),true,product(j,X1,multiply(h,X2)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_27]),c_0_19]) ).

cnf(c_0_65,negated_conjecture,
    ifeq(product(b,X1,X2),true,product(c,X1,multiply(a,X2)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_27]),c_0_19]) ).

cnf(c_0_66,hypothesis,
    product(inverse(c),inverse(multiply(a,c)),j) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_19]) ).

cnf(c_0_67,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_22]) ).

cnf(c_0_68,plain,
    multiply(multiply(X1,X2),inverse(X2)) = X1,
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_69,negated_conjecture,
    product(j,X1,multiply(h,multiply(b,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_27]),c_0_19]) ).

cnf(c_0_70,negated_conjecture,
    product(c,X1,multiply(a,multiply(b,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_19]) ).

cnf(c_0_71,hypothesis,
    product(c,j,inverse(multiply(a,c))) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_66]),c_0_50]),c_0_19]) ).

cnf(c_0_72,plain,
    multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    multiply(h,multiply(b,X1)) = multiply(j,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_69]),c_0_22]) ).

cnf(c_0_74,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(spm,[status(thm)],[c_0_67,c_0_50]) ).

cnf(c_0_75,plain,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_68,c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    multiply(a,multiply(b,X1)) = multiply(c,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_70]),c_0_22]) ).

cnf(c_0_77,hypothesis,
    inverse(multiply(a,c)) = multiply(c,j),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_71]),c_0_22]) ).

cnf(c_0_78,negated_conjecture,
    multiply(inverse(multiply(j,X1)),h) = inverse(multiply(b,X1)),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_79,plain,
    inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    ifeq(product(X1,X2,X3),true,ifeq(product(X4,X3,X5),true,product(multiply(X4,X1),X2,X5),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_19]) ).

cnf(c_0_81,negated_conjecture,
    multiply(inverse(a),multiply(c,X1)) = multiply(b,X1),
    inference(spm,[status(thm)],[c_0_67,c_0_76]) ).

cnf(c_0_82,hypothesis,
    multiply(c,multiply(c,j)) = inverse(a),
    inference(spm,[status(thm)],[c_0_75,c_0_77]) ).

cnf(c_0_83,hypothesis,
    product(inverse(j),inverse(c),multiply(a,c)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_19]) ).

cnf(c_0_84,plain,
    multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
    inference(spm,[status(thm)],[c_0_67,c_0_75]) ).

cnf(c_0_85,negated_conjecture,
    multiply(multiply(X1,j),inverse(b)) = multiply(X1,h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_50]),c_0_79]) ).

cnf(c_0_86,plain,
    ifeq(product(X1,X2,X3),true,product(multiply(X4,X1),X2,multiply(X4,X3)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_27]),c_0_19]) ).

cnf(c_0_87,hypothesis,
    product(X1,X1,inverse(X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_50]) ).

cnf(c_0_88,hypothesis,
    multiply(b,multiply(c,j)) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_55]) ).

cnf(c_0_89,hypothesis,
    inverse(multiply(c,j)) = multiply(a,c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_83]),c_0_84]),c_0_22]) ).

cnf(c_0_90,negated_conjecture,
    multiply(multiply(X1,h),b) = multiply(X1,j),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_85]),c_0_50]) ).

cnf(c_0_91,hypothesis,
    product(multiply(X1,X2),X2,multiply(X1,inverse(X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_19]) ).

cnf(c_0_92,negated_conjecture,
    multiply(j,multiply(a,X1)) = multiply(c,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_58]),c_0_22]) ).

cnf(c_0_93,hypothesis,
    multiply(a,multiply(a,c)) = b,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_88]),c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    product(j,inverse(h),k) = true,
    j_times_inverse_h_is_k ).

cnf(c_0_95,negated_conjecture,
    multiply(multiply(X1,inverse(h)),j) = multiply(X1,b),
    inference(spm,[status(thm)],[c_0_90,c_0_51]) ).

cnf(c_0_96,hypothesis,
    multiply(multiply(X1,X2),X2) = multiply(X1,inverse(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_91]),c_0_22]) ).

cnf(c_0_97,negated_conjecture,
    multiply(c,multiply(a,c)) = multiply(j,b),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_98,negated_conjecture,
    ifeq2(product(j,inverse(h),X1),true,X1,k) = k,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_94]),c_0_22]) ).

cnf(c_0_99,negated_conjecture,
    multiply(multiply(X1,b),inverse(j)) = multiply(X1,inverse(h)),
    inference(spm,[status(thm)],[c_0_68,c_0_95]) ).

cnf(c_0_100,hypothesis,
    multiply(j,b) = multiply(b,j),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_81]),c_0_89]),c_0_97]) ).

cnf(c_0_101,negated_conjecture,
    multiply(j,inverse(h)) = k,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_27]),c_0_22]) ).

cnf(c_0_102,negated_conjecture,
    product(k,inverse(b),identity) != true,
    prove_k_times_inverse_b_is_e ).

cnf(c_0_103,negated_conjecture,
    k = b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_68]),c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 02:26:35 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.rCyapMxxnW/E---3.1_1099.p
% 5.79/1.17  # Version: 3.1pre001
% 5.79/1.17  # Preprocessing class: FSMSSMSMSSSNFFN.
% 5.79/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.79/1.17  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 5.79/1.17  # Starting new_bool_3 with 300s (1) cores
% 5.79/1.17  # Starting new_bool_1 with 300s (1) cores
% 5.79/1.17  # Starting sh5l with 300s (1) cores
% 5.79/1.17  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1185 completed with status 0
% 5.79/1.17  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 5.79/1.17  # Preprocessing class: FSMSSMSMSSSNFFN.
% 5.79/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.79/1.17  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 5.79/1.17  # No SInE strategy applied
% 5.79/1.17  # Search class: FUUPM-FFSS32-MFFFFFNN
% 5.79/1.17  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.79/1.17  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 5.79/1.17  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 5.79/1.17  # Starting new_bool_3 with 136s (1) cores
% 5.79/1.17  # Starting new_bool_1 with 136s (1) cores
% 5.79/1.17  # Starting sh5l with 136s (1) cores
% 5.79/1.17  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1191 completed with status 0
% 5.79/1.17  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.79/1.17  # Preprocessing class: FSMSSMSMSSSNFFN.
% 5.79/1.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.79/1.17  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 5.79/1.17  # No SInE strategy applied
% 5.79/1.17  # Search class: FUUPM-FFSS32-MFFFFFNN
% 5.79/1.17  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.79/1.17  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 5.79/1.17  # Preprocessing time       : 0.001 s
% 5.79/1.17  # Presaturation interreduction done
% 5.79/1.17  
% 5.79/1.17  # Proof found!
% 5.79/1.17  # SZS status Unsatisfiable
% 5.79/1.17  # SZS output start CNFRefutation
% See solution above
% 5.79/1.17  # Parsed axioms                        : 18
% 5.79/1.17  # Removed by relevancy pruning/SinE    : 0
% 5.79/1.17  # Initial clauses                      : 18
% 5.79/1.17  # Removed in clause preprocessing      : 0
% 5.79/1.17  # Initial clauses in saturation        : 18
% 5.79/1.17  # Processed clauses                    : 2641
% 5.79/1.17  # ...of these trivial                  : 1393
% 5.79/1.17  # ...subsumed                          : 0
% 5.79/1.17  # ...remaining for further processing  : 1248
% 5.79/1.17  # Other redundant clauses eliminated   : 0
% 5.79/1.17  # Clauses deleted for lack of memory   : 0
% 5.79/1.17  # Backward-subsumed                    : 0
% 5.79/1.17  # Backward-rewritten                   : 373
% 5.79/1.17  # Generated clauses                    : 55105
% 5.79/1.17  # ...of the previous two non-redundant : 33231
% 5.79/1.17  # ...aggressively subsumed             : 0
% 5.79/1.17  # Contextual simplify-reflections      : 0
% 5.79/1.17  # Paramodulations                      : 55105
% 5.79/1.17  # Factorizations                       : 0
% 5.79/1.17  # NegExts                              : 0
% 5.79/1.17  # Equation resolutions                 : 0
% 5.79/1.17  # Total rewrite steps                  : 76266
% 5.79/1.17  # Propositional unsat checks           : 0
% 5.79/1.17  #    Propositional check models        : 0
% 5.79/1.17  #    Propositional check unsatisfiable : 0
% 5.79/1.17  #    Propositional clauses             : 0
% 5.79/1.17  #    Propositional clauses after purity: 0
% 5.79/1.17  #    Propositional unsat core size     : 0
% 5.79/1.17  #    Propositional preprocessing time  : 0.000
% 5.79/1.17  #    Propositional encoding time       : 0.000
% 5.79/1.17  #    Propositional solver time         : 0.000
% 5.79/1.17  #    Success case prop preproc time    : 0.000
% 5.79/1.17  #    Success case prop encoding time   : 0.000
% 5.79/1.17  #    Success case prop solver time     : 0.000
% 5.79/1.17  # Current number of processed clauses  : 857
% 5.79/1.17  #    Positive orientable unit clauses  : 857
% 5.79/1.17  #    Positive unorientable unit clauses: 0
% 5.79/1.17  #    Negative unit clauses             : 0
% 5.79/1.17  #    Non-unit-clauses                  : 0
% 5.79/1.17  # Current number of unprocessed clauses: 29960
% 5.79/1.17  # ...number of literals in the above   : 29960
% 5.79/1.17  # Current number of archived formulas  : 0
% 5.79/1.17  # Current number of archived clauses   : 391
% 5.79/1.17  # Clause-clause subsumption calls (NU) : 0
% 5.79/1.17  # Rec. Clause-clause subsumption calls : 0
% 5.79/1.17  # Non-unit clause-clause subsumptions  : 0
% 5.79/1.17  # Unit Clause-clause subsumption calls : 0
% 5.79/1.17  # Rewrite failures with RHS unbound    : 0
% 5.79/1.17  # BW rewrite match attempts            : 15474
% 5.79/1.17  # BW rewrite match successes           : 199
% 5.79/1.17  # Condensation attempts                : 0
% 5.79/1.17  # Condensation successes               : 0
% 5.79/1.17  # Termbank termtop insertions          : 858165
% 5.79/1.17  
% 5.79/1.17  # -------------------------------------------------
% 5.79/1.17  # User time                : 0.586 s
% 5.79/1.17  # System time              : 0.031 s
% 5.79/1.17  # Total time               : 0.617 s
% 5.79/1.17  # Maximum resident set size: 1572 pages
% 5.79/1.17  
% 5.79/1.17  # -------------------------------------------------
% 5.79/1.17  # User time                : 3.438 s
% 5.79/1.17  # System time              : 0.076 s
% 5.79/1.17  # Total time               : 3.514 s
% 5.79/1.17  # Maximum resident set size: 1692 pages
% 5.79/1.17  % E---3.1 exiting
%------------------------------------------------------------------------------