%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ROB018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n018.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 14:07:19 EDT 2023

% Result   : Unsatisfiable 32.45s 32.56s
% Output   : CNFRefutation 32.55s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

tff(decl_23,type,
    negate: $i > $i ).

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

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

tff(decl_26,type,
    positive_integer: $i > $o ).

tff(decl_27,type,
    successor: $i > $i ).

tff(decl_28,type,
    d: $i ).

tff(decl_29,type,
    e: $i ).

cnf(robbins_axiom,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).

cnf(commutativity_of_add,axiom,
    add(X1,X2) = add(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).

cnf(condition,hypothesis,
    negate(add(d,negate(e))) = negate(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).

cnf(associativity_of_add,axiom,
    add(add(X1,X2),X3) = add(X1,add(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).

cnf(prove_result,negated_conjecture,
    add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) != add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).

cnf(c_0_5,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    robbins_axiom ).

cnf(c_0_6,axiom,
    add(X1,X2) = add(X2,X1),
    commutativity_of_add ).

cnf(c_0_7,hypothesis,
    negate(add(d,negate(e))) = negate(e),
    condition ).

cnf(c_0_8,plain,
    negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,hypothesis,
    negate(add(negate(add(X1,negate(e))),negate(add(X1,add(d,negate(e)))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_6]) ).

cnf(c_0_10,hypothesis,
    negate(add(negate(e),negate(add(negate(e),negate(d))))) = negate(e),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,plain,
    negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_5]),c_0_6]) ).

cnf(c_0_12,hypothesis,
    negate(add(negate(add(negate(e),X1)),negate(add(X1,add(d,negate(e)))))) = X1,
    inference(spm,[status(thm)],[c_0_9,c_0_6]) ).

cnf(c_0_13,hypothesis,
    negate(add(negate(e),negate(add(negate(e),add(negate(e),negate(d)))))) = negate(e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_6]) ).

cnf(c_0_14,axiom,
    add(add(X1,X2),X3) = add(X1,add(X2,X3)),
    associativity_of_add ).

cnf(c_0_15,hypothesis,
    negate(add(negate(e),negate(add(d,add(negate(add(negate(e),X1)),negate(add(negate(e),negate(X1)))))))) = d,
    inference(spm,[status(thm)],[c_0_11,c_0_7]) ).

cnf(c_0_16,hypothesis,
    negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),negate(d))))))))) = negate(add(negate(e),add(negate(e),negate(d)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_6]),c_0_14]) ).

cnf(c_0_17,plain,
    negate(add(X1,negate(add(X1,add(negate(X2),negate(add(X1,X2))))))) = negate(add(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_5]),c_0_6]),c_0_14]),c_0_6]) ).

cnf(c_0_18,hypothesis,
    negate(add(negate(e),add(negate(e),negate(d)))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_6]),c_0_16]) ).

cnf(c_0_19,plain,
    add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_6]),c_0_14]) ).

cnf(c_0_20,hypothesis,
    negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),negate(d)))))))) = negate(add(negate(e),negate(d))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_10]),c_0_6]),c_0_14]) ).

cnf(c_0_21,plain,
    negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_22,hypothesis,
    negate(add(negate(e),negate(d))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_6]),c_0_19]),c_0_20]) ).

cnf(c_0_23,hypothesis,
    negate(add(d,negate(add(e,negate(d))))) = negate(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_6]),c_0_6]) ).

cnf(c_0_24,hypothesis,
    negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,negate(e))),negate(add(X2,add(d,negate(e))))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_6]) ).

cnf(c_0_25,hypothesis,
    negate(add(negate(add(X1,negate(d))),negate(add(X1,add(d,negate(add(e,negate(d)))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_23]),c_0_6]) ).

cnf(c_0_26,plain,
    add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
    inference(spm,[status(thm)],[c_0_6,c_0_14]) ).

cnf(c_0_27,plain,
    negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2,
    inference(spm,[status(thm)],[c_0_21,c_0_6]) ).

cnf(c_0_28,hypothesis,
    negate(add(negate(d),negate(add(d,add(negate(add(negate(e),negate(add(e,negate(d))))),negate(add(d,add(negate(e),negate(add(e,negate(d))))))))))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_6]),c_0_6]),c_0_14]) ).

cnf(c_0_29,hypothesis,
    negate(add(d,negate(add(d,add(negate(e),negate(add(e,negate(d)))))))) = negate(e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_19]) ).

cnf(c_0_30,plain,
    negate(add(negate(add(X1,add(X2,X3))),negate(add(X3,negate(add(X1,X2)))))) = X3,
    inference(spm,[status(thm)],[c_0_5,c_0_26]) ).

cnf(c_0_31,hypothesis,
    negate(add(d,add(negate(add(negate(e),negate(add(e,negate(d))))),negate(add(d,add(negate(e),negate(add(e,negate(d))))))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]),c_0_6]),c_0_29]) ).

cnf(c_0_32,hypothesis,
    negate(add(negate(add(X1,add(negate(e),X2))),negate(add(X1,add(X2,add(d,negate(e))))))) = add(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14]) ).

cnf(c_0_33,hypothesis,
    negate(add(d,add(negate(e),negate(add(e,negate(d)))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_5]),c_0_6]),c_0_7]) ).

cnf(c_0_34,hypothesis,
    negate(add(negate(e),negate(add(d,add(d,add(negate(e),negate(add(e,negate(d))))))))) = d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_29]),c_0_6]) ).

cnf(c_0_35,plain,
    negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) = add(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_14]),c_0_14]) ).

cnf(c_0_36,hypothesis,
    add(d,negate(add(e,negate(d)))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_6]),c_0_14]),c_0_34]) ).

cnf(c_0_37,hypothesis,
    negate(add(negate(e),negate(add(e,d)))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_6]),c_0_6]) ).

cnf(c_0_38,hypothesis,
    negate(add(negate(add(X1,d)),negate(add(X1,add(negate(e),negate(d)))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_22]),c_0_6]) ).

cnf(c_0_39,hypothesis,
    negate(add(negate(add(X1,d)),negate(add(X1,add(e,add(d,negate(d))))))) = add(X1,d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19]),c_0_6]) ).

cnf(c_0_40,plain,
    negate(add(negate(add(X1,add(X2,X3))),negate(add(X2,negate(add(X1,X3)))))) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_19]) ).

cnf(c_0_41,hypothesis,
    negate(add(d,negate(add(e,negate(add(e,d)))))) = negate(add(e,d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_6]),c_0_6]) ).

cnf(c_0_42,hypothesis,
    negate(add(X1,negate(add(X1,add(negate(e),add(negate(d),negate(add(X1,d)))))))) = negate(add(X1,d)),
    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_5,c_0_38]),c_0_19]),c_0_26]),c_0_6]),c_0_19]),c_0_6]) ).

cnf(c_0_43,hypothesis,
    negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),add(negate(e),negate(d)))))))))) = d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_6]) ).

cnf(c_0_44,hypothesis,
    negate(add(negate(add(d,X1)),negate(add(X1,add(e,add(d,negate(d))))))) = add(d,X1),
    inference(spm,[status(thm)],[c_0_39,c_0_6]) ).

cnf(c_0_45,hypothesis,
    negate(add(negate(add(X1,negate(add(e,d)))),negate(add(d,add(X1,negate(add(e,negate(add(e,d))))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_6]) ).

cnf(c_0_46,hypothesis,
    add(d,add(negate(add(e,negate(d))),X1)) = add(d,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_36]) ).

cnf(c_0_47,hypothesis,
    negate(add(negate(e),add(negate(e),add(negate(e),negate(d))))) = d,
    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_12,c_0_42]),c_0_6]),c_0_7]),c_0_6]),c_0_7]),c_0_6]),c_0_6]),c_0_14]),c_0_43]),c_0_6]),c_0_7]),c_0_6]) ).

cnf(c_0_48,hypothesis,
    negate(add(negate(e),negate(add(e,add(d,add(negate(e),negate(d))))))) = add(d,negate(e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_7]),c_0_19]),c_0_19]) ).

cnf(c_0_49,hypothesis,
    negate(add(e,negate(add(e,d)))) = negate(add(e,negate(d))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_6]),c_0_5]),c_0_41]) ).

cnf(c_0_50,hypothesis,
    negate(add(d,negate(add(e,add(negate(e),add(negate(e),negate(d))))))) = add(negate(e),add(negate(e),negate(d))),
    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_21,c_0_47]),c_0_14]),c_0_14]),c_0_6]),c_0_19]),c_0_19]),c_0_6]) ).

cnf(c_0_51,hypothesis,
    negate(add(negate(add(d,X1)),negate(add(negate(e),add(negate(add(e,d)),X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_37]),c_0_14]),c_0_6]) ).

cnf(c_0_52,hypothesis,
    negate(add(d,add(negate(e),negate(add(e,add(d,add(negate(e),add(negate(e),negate(d))))))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_48]),c_0_19]),c_0_19]),c_0_6]),c_0_14]) ).

cnf(c_0_53,hypothesis,
    negate(add(e,d)) = negate(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_49]),c_0_6]),c_0_37]),c_0_6]),c_0_36]) ).

cnf(c_0_54,hypothesis,
    negate(add(negate(e),add(negate(e),add(negate(d),negate(add(e,add(d,add(negate(e),add(negate(e),negate(d)))))))))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_50]),c_0_19]),c_0_6]),c_0_14]),c_0_14]) ).

cnf(c_0_55,hypothesis,
    negate(add(negate(add(X1,negate(e))),negate(add(d,add(negate(e),X1))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_14]) ).

cnf(c_0_56,hypothesis,
    add(negate(e),negate(add(e,add(d,add(negate(e),add(negate(e),negate(d))))))) = negate(e),
    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_51,c_0_52]),c_0_53]),c_0_19]),c_0_54]),c_0_6]),c_0_7]) ).

cnf(c_0_57,plain,
    negate(add(negate(add(X1,add(X2,X3))),negate(add(X2,negate(add(X3,X1)))))) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_26]) ).

cnf(c_0_58,hypothesis,
    negate(add(e,add(d,add(negate(e),add(negate(e),negate(d)))))) = negate(add(negate(e),negate(negate(e)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_6]),c_0_56]),c_0_7]),c_0_6]) ).

cnf(c_0_59,hypothesis,
    negate(add(negate(e),negate(add(d,negate(negate(e)))))) = d,
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_60,hypothesis,
    negate(add(negate(e),add(negate(e),add(negate(d),negate(add(negate(e),negate(negate(e)))))))) = d,
    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_57,c_0_58]),c_0_14]),c_0_14]),c_0_6]),c_0_19]),c_0_19]),c_0_50]),c_0_6]),c_0_14]),c_0_14]) ).

cnf(c_0_61,hypothesis,
    add(negate(e),negate(add(negate(e),negate(negate(e))))) = negate(e),
    inference(rw,[status(thm)],[c_0_56,c_0_58]) ).

cnf(c_0_62,hypothesis,
    negate(add(d,negate(add(d,add(negate(e),add(negate(e),negate(d))))))) = add(negate(e),negate(d)),
    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_12,c_0_18]),c_0_14]),c_0_26]),c_0_6]),c_0_19]),c_0_19]) ).

cnf(c_0_63,hypothesis,
    negate(add(negate(add(X1,negate(add(negate(e),X2)))),negate(add(X1,add(X2,negate(add(X2,add(d,add(negate(e),negate(add(negate(e),X2))))))))))) = 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_12]),c_0_6]),c_0_14]),c_0_14]),c_0_6]) ).

cnf(c_0_64,hypothesis,
    negate(add(X1,negate(add(negate(e),add(X1,negate(add(X1,add(d,negate(e))))))))) = negate(add(X1,add(d,negate(e)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_6]),c_0_14]),c_0_6]) ).

cnf(c_0_65,hypothesis,
    negate(add(d,negate(add(d,add(negate(e),negate(negate(e))))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_59]),c_0_26]),c_0_6]),c_0_6]) ).

cnf(c_0_66,hypothesis,
    add(negate(e),add(negate(d),negate(add(negate(e),negate(negate(e)))))) = add(negate(e),negate(d)),
    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_32,c_0_60]),c_0_14]),c_0_6]),c_0_14]),c_0_61]),c_0_26]),c_0_6]),c_0_19]),c_0_19]),c_0_62]) ).

cnf(c_0_67,hypothesis,
    negate(add(d,negate(add(d,add(negate(e),negate(d)))))) = negate(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_26]),c_0_6]),c_0_19]) ).

cnf(c_0_68,hypothesis,
    negate(add(d,add(negate(e),negate(negate(e))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_61]),c_0_64]),c_0_6]),c_0_14]) ).

cnf(c_0_69,hypothesis,
    negate(add(negate(e),negate(add(d,add(d,add(negate(e),negate(negate(e)))))))) = d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_65]),c_0_6]) ).

cnf(c_0_70,hypothesis,
    add(negate(d),negate(add(negate(e),negate(negate(e))))) = negate(d),
    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_55,c_0_66]),c_0_14]),c_0_6]),c_0_61]),c_0_6]),c_0_22]),c_0_67]) ).

cnf(c_0_71,hypothesis,
    negate(add(negate(add(d,X1)),negate(add(X1,add(negate(e),negate(add(d,negate(negate(e))))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_59]),c_0_6]) ).

cnf(c_0_72,hypothesis,
    add(d,negate(negate(e))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_68]),c_0_6]),c_0_14]),c_0_69]) ).

cnf(c_0_73,hypothesis,
    negate(add(negate(negate(d)),negate(add(negate(e),add(negate(d),negate(negate(e))))))) = negate(d),
    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_24,c_0_70]),c_0_6]),c_0_61]),c_0_6]),c_0_14]),c_0_61]),c_0_7]),c_0_6]),c_0_19]) ).

cnf(c_0_74,hypothesis,
    negate(add(negate(d),negate(add(negate(e),add(negate(d),negate(negate(e))))))) = negate(negate(e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_72]),c_0_26]),c_0_6]),c_0_19]) ).

cnf(c_0_75,hypothesis,
    negate(add(negate(e),add(negate(d),negate(negate(e))))) = negate(add(negate(d),negate(negate(e)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_73]),c_0_6]),c_0_74]),c_0_6]) ).

cnf(c_0_76,hypothesis,
    negate(add(d,negate(add(negate(d),negate(negate(e)))))) = negate(d),
    inference(spm,[status(thm)],[c_0_8,c_0_22]) ).

cnf(c_0_77,hypothesis,
    add(negate(e),negate(d)) = negate(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_75]),c_0_6]),c_0_18]),c_0_76]) ).

cnf(c_0_78,hypothesis,
    add(d,add(X1,negate(add(e,negate(d))))) = add(X1,d),
    inference(spm,[status(thm)],[c_0_19,c_0_36]) ).

cnf(c_0_79,hypothesis,
    negate(add(negate(e),negate(negate(e)))) = negate(add(e,add(d,negate(d)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_77]),c_0_77]) ).

cnf(c_0_80,plain,
    negate(add(negate(add(X1,X2)),negate(add(negate(add(X2,X3)),add(X1,negate(add(X2,negate(X3)))))))) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_19]) ).

cnf(c_0_81,hypothesis,
    negate(add(negate(add(X1,d)),negate(add(d,add(X1,add(e,negate(d))))))) = add(d,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_78]),c_0_6]) ).

cnf(c_0_82,hypothesis,
    add(negate(e),add(X1,negate(d))) = add(X1,negate(d)),
    inference(spm,[status(thm)],[c_0_19,c_0_77]) ).

cnf(c_0_83,hypothesis,
    add(negate(e),negate(add(e,add(d,negate(d))))) = negate(e),
    inference(rw,[status(thm)],[c_0_61,c_0_79]) ).

cnf(c_0_84,hypothesis,
    negate(add(negate(add(e,d)),negate(add(d,negate(add(e,d)))))) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_36]),c_0_6]),c_0_6]) ).

cnf(c_0_85,hypothesis,
    negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,add(negate(add(X3,negate(e))),negate(add(X3,add(d,negate(e)))))))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_6]) ).

cnf(c_0_86,hypothesis,
    negate(add(negate(d),negate(add(negate(d),negate(negate(e)))))) = negate(negate(e)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_72]),c_0_6]) ).

cnf(c_0_87,hypothesis,
    negate(negate(e)) = add(d,negate(e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_6]),c_0_7]),c_0_19]),c_0_83]) ).

cnf(c_0_88,hypothesis,
    negate(add(negate(d),negate(add(d,negate(d))))) = d,
    inference(spm,[status(thm)],[c_0_84,c_0_53]) ).

cnf(c_0_89,hypothesis,
    negate(add(negate(d),negate(add(d,negate(add(e,add(d,negate(add(d,add(negate(e),negate(d))))))))))) = d,
    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_85,c_0_46]),c_0_6]),c_0_6]),c_0_22]),c_0_26]),c_0_6]),c_0_19]),c_0_53]) ).

cnf(c_0_90,hypothesis,
    add(d,negate(e)) = d,
    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)],[c_0_86,c_0_87]),c_0_26]),c_0_6]),c_0_19]),c_0_77]),c_0_88]),c_0_87]) ).

cnf(c_0_91,hypothesis,
    negate(add(d,negate(add(d,add(negate(d),negate(add(e,add(d,negate(add(d,add(negate(e),negate(d)))))))))))) = negate(d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_89]),c_0_19]),c_0_6]) ).

cnf(c_0_92,hypothesis,
    negate(d) = negate(e),
    inference(rw,[status(thm)],[c_0_7,c_0_90]) ).

cnf(c_0_93,hypothesis,
    negate(add(d,negate(add(d,add(negate(e),negate(e)))))) = add(negate(e),negate(e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_6]),c_0_26]),c_0_6]) ).

cnf(c_0_94,hypothesis,
    negate(add(negate(add(X1,add(X2,negate(e)))),negate(add(d,add(X1,add(negate(e),X2)))))) = add(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_19]),c_0_14]) ).

cnf(c_0_95,hypothesis,
    add(negate(e),negate(e)) = negate(e),
    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)],[c_0_91,c_0_92]),c_0_77]),c_0_92]),c_0_90]),c_0_92]),c_0_90]),c_0_53]),c_0_92]),c_0_93]),c_0_92]) ).

cnf(c_0_96,hypothesis,
    negate(add(negate(add(X1,negate(e))),negate(add(d,add(X1,negate(e)))))) = X1,
    inference(spm,[status(thm)],[c_0_9,c_0_19]) ).

cnf(c_0_97,hypothesis,
    negate(add(negate(d),negate(add(e,add(negate(e),negate(add(d,add(d,negate(e))))))))) = e,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_53]),c_0_7]) ).

cnf(c_0_98,hypothesis,
    add(X1,negate(e)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_95]),c_0_96]) ).

cnf(c_0_99,hypothesis,
    add(d,d) = d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_87]),c_0_90]) ).

cnf(c_0_100,hypothesis,
    negate(add(negate(add(negate(e),X1)),negate(add(d,add(negate(e),X1))))) = X1,
    inference(spm,[status(thm)],[c_0_55,c_0_6]) ).

cnf(c_0_101,plain,
    negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) = negate(add(X1,X2)),
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_102,hypothesis,
    negate(add(d,negate(add(e,add(d,negate(e)))))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_37]),c_0_6]),c_0_14]),c_0_6]) ).

cnf(c_0_103,hypothesis,
    d = e,
    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_97,c_0_98]),c_0_92]),c_0_99]),c_0_92]),c_0_98]),c_0_98]),c_0_98]),c_0_87]),c_0_98]) ).

cnf(c_0_104,hypothesis,
    negate(add(negate(add(X1,add(negate(e),X2))),negate(add(d,add(X1,add(negate(e),X2)))))) = add(X2,X1),
    inference(spm,[status(thm)],[c_0_100,c_0_26]) ).

cnf(c_0_105,hypothesis,
    negate(add(d,negate(add(negate(negate(e)),negate(add(e,add(d,add(d,negate(e))))))))) = negate(add(e,add(d,add(d,negate(e))))),
    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_101,c_0_102]),c_0_26]),c_0_14]),c_0_6]),c_0_26]),c_0_14]),c_0_6]),c_0_6]) ).

cnf(c_0_106,hypothesis,
    add(e,e) = e,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_103]),c_0_103]),c_0_103]) ).

cnf(c_0_107,hypothesis,
    add(negate(e),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_98]),c_0_96]) ).

cnf(c_0_108,plain,
    negate(add(X1,negate(add(negate(negate(add(X1,X2))),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))))) = negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_5]),c_0_6]) ).

cnf(c_0_109,hypothesis,
    negate(negate(add(e,add(negate(X1),negate(negate(X1)))))) = e,
    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(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_11,c_0_105]),c_0_103]),c_0_98]),c_0_103]),c_0_106]),c_0_106]),c_0_103]),c_0_87]),c_0_98]),c_0_103]),c_0_103]),c_0_98]),c_0_103]),c_0_106]),c_0_106]),c_0_98]),c_0_107]),c_0_87]),c_0_98]),c_0_103]),c_0_103]),c_0_98]),c_0_103]),c_0_106]),c_0_106]),c_0_98]),c_0_107]),c_0_107]),c_0_103]) ).

cnf(c_0_110,hypothesis,
    negate(negate(add(X1,negate(negate(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(spm,[status(thm)],[c_0_108,c_0_107]),c_0_107]),c_0_107]),c_0_5]),c_0_107]),c_0_5]),c_0_6]) ).

cnf(c_0_111,hypothesis,
    negate(negate(add(e,add(X1,negate(X1))))) = e,
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_112,hypothesis,
    negate(add(e,add(X1,negate(X1)))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_98]),c_0_111]) ).

cnf(c_0_113,hypothesis,
    negate(add(X1,negate(X1))) = negate(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_107]),c_0_107]),c_0_5]),c_0_6]) ).

cnf(c_0_114,hypothesis,
    add(X1,negate(X1)) = e,
    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_8,c_0_112]),c_0_98]),c_0_113]),c_0_98]),c_0_87]),c_0_98]),c_0_103]) ).

cnf(c_0_115,hypothesis,
    negate(add(negate(add(d,X1)),negate(add(X1,add(negate(e),negate(add(e,d))))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_6]) ).

cnf(c_0_116,plain,
    negate(add(X1,negate(add(X1,add(negate(add(X2,X3)),negate(add(X3,add(X1,X2)))))))) = negate(add(X3,add(X1,X2))),
    inference(spm,[status(thm)],[c_0_17,c_0_26]) ).

cnf(c_0_117,hypothesis,
    add(e,negate(add(e,X1))) = e,
    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_114,c_0_115]),c_0_103]),c_0_103]),c_0_106]),c_0_98]),c_0_98]),c_0_14]),c_0_6]),c_0_114]),c_0_6]) ).

cnf(c_0_118,plain,
    add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
    inference(spm,[status(thm)],[c_0_26,c_0_6]) ).

cnf(c_0_119,hypothesis,
    negate(add(negate(X1),negate(add(X1,e)))) = 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_5,c_0_105]),c_0_103]),c_0_87]),c_0_98]),c_0_103]),c_0_103]),c_0_98]),c_0_103]),c_0_106]),c_0_106]),c_0_98]),c_0_98]),c_0_103]),c_0_98]),c_0_103]),c_0_106]),c_0_106]),c_0_98]),c_0_6]) ).

cnf(c_0_120,hypothesis,
    negate(add(X1,e)) = negate(e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_117]) ).

cnf(c_0_121,hypothesis,
    add(d,add(negate(negate(e)),X1)) = add(d,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_72]) ).

cnf(c_0_122,negated_conjecture,
    add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) != add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))),
    prove_result ).

cnf(c_0_123,hypothesis,
    add(negate(add(e,negate(d))),add(X1,add(d,X2))) = add(X2,add(d,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_46]),c_0_14]) ).

cnf(c_0_124,hypothesis,
    add(X1,e) = e,
    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_119,c_0_120]),c_0_14]),c_0_106]),c_0_120]),c_0_98]),c_0_87]),c_0_98]),c_0_103]) ).

cnf(c_0_125,hypothesis,
    add(e,add(e,X1)) = add(e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_103]),c_0_87]),c_0_98]),c_0_103]),c_0_103]) ).

cnf(c_0_126,negated_conjecture,
    add(e,multiply(successor(successor(one)),add(d,negate(e)))) != add(e,multiply(successor(one),add(d,negate(e)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_7]),c_0_7]) ).

cnf(c_0_127,hypothesis,
    add(e,X1) = e,
    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_123,c_0_124]),c_0_103]),c_0_98]),c_0_124]),c_0_6]),c_0_98]),c_0_103]),c_0_125]) ).

cnf(c_0_128,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_127])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ROB018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34  % Computer : n018.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon Aug 28 06:54:46 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 32.45/32.56  % Version  : CSE_E---1.5
% 32.45/32.56  % Problem  : theBenchmark.p
% 32.45/32.56  % Proof found
% 32.45/32.56  % SZS status Theorem for theBenchmark.p
% 32.45/32.56  % SZS output start Proof
% See solution above
% 32.55/32.57  % Total time : 31.989000 s
% 32.55/32.57  % SZS output end Proof
% 32.55/32.57  % Total time : 31.994000 s
%------------------------------------------------------------------------------