TSTP Solution File: LAT392-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LAT392-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 : Mon May 20 23:27:31 EDT 2024

% Result   : Unsatisfiable 1.90s 0.71s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   67 (  67 unt;   0 nHn;   5 RR)
%            Number of literals    :   67 (  66 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  180 (  58 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sos,axiom,
    mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)),plus(mult(plus(X2,plus(plus(mult(X4,mult(X2,X5)),mult(X6,X2)),X2)),plus(X7,mult(X2,plus(plus(mult(X2,X8),mult(X6,X2)),X2)))),mult(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

cnf(goals,negated_conjecture,
    plus(plus(mult(a,b),mult(b,c)),b) != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_0_2,axiom,
    mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)),plus(mult(plus(X2,plus(plus(mult(X4,mult(X2,X5)),mult(X6,X2)),X2)),plus(X7,mult(X2,plus(plus(mult(X2,X8),mult(X6,X2)),X2)))),mult(X1,mult(mult(plus(X4,X2),plus(X2,X5)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
    sos ).

cnf(c_0_3,plain,
    mult(plus(mult(plus(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))))),X4),plus(mult(plus(X1,mult(mult(plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),X5)),mult(plus(X2,X3),plus(X3,mult(X2,X3))))),plus(X3,mult(X1,mult(mult(plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),X5)),mult(plus(X2,X3),plus(X3,mult(X2,X3))))))),mult(mult(plus(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))),plus(mult(plus(X2,X3),plus(X3,mult(X2,X3))),mult(X1,mult(plus(X2,X3),plus(X3,mult(X2,X3)))))),X4))) = mult(plus(X2,X3),plus(X3,mult(X2,X3))),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)),plus(mult(plus(X5,mult(mult(plus(X6,X2),plus(X2,X7)),X2)),plus(mult(plus(X2,plus(plus(mult(X6,mult(X2,X7)),mult(X8,X2)),X2)),plus(X9,mult(X2,plus(plus(mult(X2,X10),mult(X8,X2)),X2)))),mult(X5,mult(mult(plus(X6,X2),plus(X2,X7)),X2)))),mult(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_5,plain,
    mult(plus(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2))),X3),plus(X2,mult(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_4,c_0_2]) ).

cnf(c_0_6,plain,
    mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X4)),X2)))),mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_3,c_0_5]) ).

cnf(c_0_7,plain,
    mult(plus(X1,X2),plus(X1,mult(X1,X2))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_8,plain,
    mult(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).

cnf(c_0_9,plain,
    mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3),plus(X2,mult(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X3))) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_10,plain,
    mult(plus(X1,mult(mult(plus(X2,X3),plus(X3,X4)),X3)),plus(mult(plus(X3,plus(plus(mult(X2,mult(X3,X4)),mult(X5,X3)),X3)),plus(X6,mult(X3,plus(plus(mult(X3,X7),mult(X5,X3)),X3)))),mult(X1,mult(mult(plus(X2,X3),plus(X3,X4)),X3)))) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).

cnf(c_0_11,plain,
    mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    mult(plus(X1,X2),plus(X2,mult(X1,X2))) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_11]) ).

cnf(c_0_13,plain,
    plus(plus(mult(X1,mult(X1,X2)),mult(X3,X1)),X1) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,plain,
    mult(plus(X1,X1),plus(X2,mult(X1,plus(plus(mult(X1,X3),mult(X4,X1)),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_15,plain,
    mult(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_16,plain,
    mult(plus(X1,X1),plus(X2,mult(X1,X1))) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_17,plain,
    mult(X1,plus(X1,mult(plus(mult(X1,mult(X1,X2)),mult(X3,X1)),X1))) = X1,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    mult(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    mult(X1,plus(X1,mult(plus(mult(X1,X1),mult(X2,X1)),X1))) = X1,
    inference(spm,[status(thm)],[c_0_17,c_0_17]) ).

cnf(c_0_20,plain,
    plus(plus(X1,mult(X2,X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_18]) ).

cnf(c_0_21,plain,
    plus(X1,X1) = X1,
    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_6,c_0_18]),c_0_12]),c_0_12]),c_0_8]),c_0_12]),c_0_18]) ).

cnf(c_0_22,plain,
    mult(plus(plus(X1,X2),plus(X1,mult(X1,X2))),plus(plus(X1,X2),X1)) = plus(X1,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_7]) ).

cnf(c_0_23,plain,
    mult(X1,plus(X1,mult(plus(X1,mult(X2,X1)),X1))) = X1,
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_24,plain,
    plus(X1,plus(X1,mult(X2,X1))) = plus(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_18]),c_0_20]),c_0_18]),c_0_18]) ).

cnf(c_0_25,plain,
    mult(X1,plus(X2,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_21]),c_0_18]) ).

cnf(c_0_26,plain,
    plus(X1,mult(plus(X1,mult(X2,X1)),X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_22,c_0_23]),c_0_24]),c_0_21]),c_0_20]),c_0_24]),c_0_20]),c_0_18]),c_0_24]) ).

cnf(c_0_27,plain,
    mult(plus(X1,plus(X2,X1)),plus(plus(X2,X1),X1)) = plus(X2,X1),
    inference(spm,[status(thm)],[c_0_12,c_0_25]) ).

cnf(c_0_28,plain,
    mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),X1),X1)),plus(X4,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_21]),c_0_18]),c_0_18]),c_0_21]),c_0_18]) ).

cnf(c_0_29,plain,
    plus(plus(X1,X2),mult(plus(plus(X1,X2),X2),plus(X1,X2))) = plus(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).

cnf(c_0_30,plain,
    plus(plus(mult(X1,mult(X2,X3)),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,plain,
    plus(mult(X1,mult(X2,X3)),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25]),c_0_30]) ).

cnf(c_0_32,plain,
    mult(plus(X1,plus(X2,X1)),X1) = X1,
    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_6,c_0_25]),c_0_12]),c_0_12]),c_0_8]),c_0_12]),c_0_21]) ).

cnf(c_0_33,plain,
    plus(mult(X1,X2),plus(X2,X3)) = plus(X2,X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_2]),c_0_12]),c_0_12]) ).

cnf(c_0_34,plain,
    plus(mult(X1,X2),X1) = X1,
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    mult(plus(plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),plus(plus(X1,mult(X2,X2)),X2)),plus(plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),plus(X1,mult(X2,X2)))) = plus(plus(X1,mult(X2,X2)),plus(X2,mult(X1,mult(X2,X2)))),
    inference(spm,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_36,plain,
    plus(X1,plus(plus(X1,mult(X2,X1)),X3)) = plus(plus(X1,mult(X2,X1)),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_15]),c_0_18]),c_0_18]) ).

cnf(c_0_37,plain,
    mult(plus(X1,X2),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_34]),c_0_8]),c_0_12]),c_0_25]),c_0_21]) ).

cnf(c_0_38,plain,
    plus(X1,mult(mult(X1,X2),X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_35,c_0_34]),c_0_18]),c_0_18]),c_0_18]),c_0_24]),c_0_18]),c_0_21]),c_0_20]),c_0_18]),c_0_18]),c_0_18]),c_0_24]),c_0_18]),c_0_20]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_24]) ).

cnf(c_0_39,plain,
    plus(plus(X1,mult(X2,X1)),plus(X1,X3)) = plus(X1,X3),
    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_36,c_0_15]),c_0_18]),c_0_18]),c_0_20]),c_0_18]),c_0_20]) ).

cnf(c_0_40,plain,
    mult(X1,mult(mult(X1,X2),X1)) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    mult(plus(X1,mult(X1,mult(X2,X1))),X1) = plus(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_39]),c_0_20]) ).

cnf(c_0_42,plain,
    plus(plus(mult(plus(X1,X2),X1),mult(X3,plus(X1,X2))),plus(X1,X2)) = plus(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_2]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_43,plain,
    plus(mult(X1,X2),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_30]),c_0_21]),c_0_30]),c_0_21]) ).

cnf(c_0_44,plain,
    plus(X1,mult(X2,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_7]),c_0_41]),c_0_7]) ).

cnf(c_0_45,plain,
    plus(plus(mult(X1,mult(X2,X1)),mult(X3,X1)),X1) = X1,
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    mult(X1,mult(X2,X1)) = mult(X2,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_44]) ).

cnf(c_0_47,plain,
    plus(plus(mult(X1,X2),mult(X3,X2)),X2) = X2,
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    mult(plus(plus(X1,X2),X1),plus(X1,X2)) = plus(X1,X2),
    inference(spm,[status(thm)],[c_0_46,c_0_22]) ).

cnf(c_0_49,plain,
    plus(mult(X1,mult(X2,X3)),X3) = X3,
    inference(spm,[status(thm)],[c_0_33,c_0_43]) ).

cnf(c_0_50,plain,
    mult(plus(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),plus(X2,mult(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)))),plus(plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),X2)) = plus(X1,mult(mult(plus(X2,X2),plus(X2,X3)),X2)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_51,plain,
    plus(mult(X1,plus(mult(X2,X3),mult(X4,X3))),X3) = X3,
    inference(spm,[status(thm)],[c_0_33,c_0_47]) ).

cnf(c_0_52,plain,
    mult(plus(X1,mult(X2,mult(X3,X1))),X1) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    mult(mult(X1,plus(X1,X2)),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_50,c_0_51]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_33]),c_0_21]),c_0_43]),c_0_52]),c_0_21]) ).

cnf(c_0_54,plain,
    mult(X1,plus(X1,X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_53]),c_0_34]),c_0_34]),c_0_18]) ).

cnf(c_0_55,plain,
    plus(X1,plus(X1,X2)) = plus(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_2]),c_0_12]),c_0_12]) ).

cnf(c_0_56,plain,
    plus(plus(mult(plus(X1,X2),X2),mult(X3,plus(X1,X2))),plus(X1,X2)) = plus(X1,X2),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_57,negated_conjecture,
    plus(plus(mult(a,b),mult(b,c)),b) != b,
    inference(fof_simplification,[status(thm)],[goals]) ).

cnf(c_0_58,plain,
    plus(plus(X1,X2),X1) = plus(X1,X2),
    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_22,c_0_54]),c_0_55]),c_0_21]),c_0_55]),c_0_18]),c_0_55]) ).

cnf(c_0_59,plain,
    plus(plus(X1,X2),plus(X2,X1)) = plus(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_37]) ).

cnf(c_0_60,plain,
    mult(plus(X1,X2),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_6,c_0_54]),c_0_44]),c_0_37]),c_0_44]),c_0_37]),c_0_55]),c_0_8]),c_0_44]),c_0_37]),c_0_21]) ).

cnf(c_0_61,negated_conjecture,
    plus(plus(mult(a,b),mult(b,c)),b) != b,
    c_0_57 ).

cnf(c_0_62,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).

cnf(c_0_63,plain,
    mult(X1,mult(X1,X2)) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_60,c_0_34]) ).

cnf(c_0_64,negated_conjecture,
    plus(b,plus(mult(b,c),mult(a,b))) != b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_62]) ).

cnf(c_0_65,plain,
    plus(X1,plus(mult(X1,X2),mult(X3,X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_62]),c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT392-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 20:14:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  Running first-order model finding
% 0.19/0.45  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/benchmark/theBenchmark.p
% 1.90/0.71  # Version: 3.1.0
% 1.90/0.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.90/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.90/0.71  # Starting new_bool_3 with 300s (1) cores
% 1.90/0.71  # Starting new_bool_1 with 300s (1) cores
% 1.90/0.71  # Starting sh5l with 300s (1) cores
% 1.90/0.71  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 28439 completed with status 0
% 1.90/0.71  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.90/0.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.90/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.90/0.71  # No SInE strategy applied
% 1.90/0.71  # Search class: FUUPF-FFSF22-DFFFFFNN
% 1.90/0.71  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.71  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.90/0.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.90/0.71  # Starting new_bool_3 with 136s (1) cores
% 1.90/0.71  # Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 1.90/0.71  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 1.90/0.71  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 28444 completed with status 0
% 1.90/0.71  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.90/0.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.90/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.90/0.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.90/0.71  # No SInE strategy applied
% 1.90/0.71  # Search class: FUUPF-FFSF22-DFFFFFNN
% 1.90/0.71  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.90/0.71  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.90/0.71  # Preprocessing time       : 0.001 s
% 1.90/0.71  # Presaturation interreduction done
% 1.90/0.71  
% 1.90/0.71  # Proof found!
% 1.90/0.71  # SZS status Unsatisfiable
% 1.90/0.71  # SZS output start CNFRefutation
% See solution above
% 1.90/0.71  # Parsed axioms                        : 2
% 1.90/0.71  # Removed by relevancy pruning/SinE    : 0
% 1.90/0.71  # Initial clauses                      : 2
% 1.90/0.71  # Removed in clause preprocessing      : 0
% 1.90/0.71  # Initial clauses in saturation        : 2
% 1.90/0.71  # Processed clauses                    : 674
% 1.90/0.71  # ...of these trivial                  : 455
% 1.90/0.71  # ...subsumed                          : 6
% 1.90/0.71  # ...remaining for further processing  : 213
% 1.90/0.71  # Other redundant clauses eliminated   : 0
% 1.90/0.71  # Clauses deleted for lack of memory   : 0
% 1.90/0.71  # Backward-subsumed                    : 0
% 1.90/0.71  # Backward-rewritten                   : 140
% 1.90/0.71  # Generated clauses                    : 19518
% 1.90/0.71  # ...of the previous two non-redundant : 10232
% 1.90/0.71  # ...aggressively subsumed             : 0
% 1.90/0.71  # Contextual simplify-reflections      : 0
% 1.90/0.71  # Paramodulations                      : 19518
% 1.90/0.71  # Factorizations                       : 0
% 1.90/0.71  # NegExts                              : 0
% 1.90/0.71  # Equation resolutions                 : 0
% 1.90/0.71  # Disequality decompositions           : 0
% 1.90/0.71  # Total rewrite steps                  : 56338
% 1.90/0.71  # ...of those cached                   : 50938
% 1.90/0.71  # Propositional unsat checks           : 0
% 1.90/0.71  #    Propositional check models        : 0
% 1.90/0.71  #    Propositional check unsatisfiable : 0
% 1.90/0.71  #    Propositional clauses             : 0
% 1.90/0.71  #    Propositional clauses after purity: 0
% 1.90/0.71  #    Propositional unsat core size     : 0
% 1.90/0.71  #    Propositional preprocessing time  : 0.000
% 1.90/0.71  #    Propositional encoding time       : 0.000
% 1.90/0.71  #    Propositional solver time         : 0.000
% 1.90/0.71  #    Success case prop preproc time    : 0.000
% 1.90/0.71  #    Success case prop encoding time   : 0.000
% 1.90/0.71  #    Success case prop solver time     : 0.000
% 1.90/0.71  # Current number of processed clauses  : 71
% 1.90/0.71  #    Positive orientable unit clauses  : 70
% 1.90/0.71  #    Positive unorientable unit clauses: 1
% 1.90/0.71  #    Negative unit clauses             : 0
% 1.90/0.71  #    Non-unit-clauses                  : 0
% 1.90/0.71  # Current number of unprocessed clauses: 9384
% 1.90/0.71  # ...number of literals in the above   : 9384
% 1.90/0.71  # Current number of archived formulas  : 0
% 1.90/0.71  # Current number of archived clauses   : 142
% 1.90/0.71  # Clause-clause subsumption calls (NU) : 0
% 1.90/0.71  # Rec. Clause-clause subsumption calls : 0
% 1.90/0.71  # Non-unit clause-clause subsumptions  : 0
% 1.90/0.71  # Unit Clause-clause subsumption calls : 20
% 1.90/0.71  # Rewrite failures with RHS unbound    : 0
% 1.90/0.71  # BW rewrite match attempts            : 1371
% 1.90/0.71  # BW rewrite match successes           : 246
% 1.90/0.71  # Condensation attempts                : 0
% 1.90/0.71  # Condensation successes               : 0
% 1.90/0.71  # Termbank termtop insertions          : 683863
% 1.90/0.71  # Search garbage collected termcells   : 2
% 1.90/0.71  
% 1.90/0.71  # -------------------------------------------------
% 1.90/0.71  # User time                : 0.227 s
% 1.90/0.71  # System time              : 0.015 s
% 1.90/0.71  # Total time               : 0.242 s
% 1.90/0.71  # Maximum resident set size: 1552 pages
% 1.90/0.71  
% 1.90/0.71  # -------------------------------------------------
% 1.90/0.71  # User time                : 1.145 s
% 1.90/0.71  # System time              : 0.038 s
% 1.90/0.71  # Total time               : 1.183 s
% 1.90/0.71  # Maximum resident set size: 1692 pages
% 1.90/0.71  % E---3.1 exiting
%------------------------------------------------------------------------------