↑ Up

CSE_E---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : BOO073-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n020.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 : Tue May  5 04:11:24 PM UTC 2026

% Result   : Unsatisfiable 14.49s 9.84s
% Output   : CNFRefutation 14.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   84 (  84 unt;   0 nHn;   5 RR)
%            Number of literals    :   84 (  83 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   :  182 (  36 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(dn1,axiom,
    inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).

cnf(huntinton_2,negated_conjecture,
    add(add(a,b),c) != add(a,add(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton_2) ).

cnf(c_0_2,axiom,
    inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
    dn1 ).

cnf(c_0_3,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1),
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_5,plain,
    inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
    inference(spm,[status(thm)],[c_0_2,c_0_4]) ).

cnf(c_0_6,plain,
    inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3,
    inference(spm,[status(thm)],[c_0_2,c_0_5]) ).

cnf(c_0_7,plain,
    inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_5]) ).

cnf(c_0_8,plain,
    inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2)))) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,plain,
    inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_10,plain,
    inverse(add(inverse(add(inverse(X1),X1)),inverse(X1))) = X1,
    inference(spm,[status(thm)],[c_0_8,c_0_3]) ).

cnf(c_0_11,plain,
    inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)),
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_12,plain,
    inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,plain,
    inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1,
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_14,plain,
    inverse(add(inverse(X1),inverse(X1))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_12]),c_0_12]) ).

cnf(c_0_15,plain,
    add(X1,X1) = X1,
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,plain,
    inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_4]) ).

cnf(c_0_17,plain,
    inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1,
    inference(spm,[status(thm)],[c_0_6,c_0_15]) ).

cnf(c_0_18,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_15]),c_0_15]) ).

cnf(c_0_19,plain,
    inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_6,c_0_16]) ).

cnf(c_0_20,plain,
    inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_6]),c_0_18]) ).

cnf(c_0_21,plain,
    inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_19]) ).

cnf(c_0_22,plain,
    add(X1,add(X2,X1)) = add(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_18]) ).

cnf(c_0_23,plain,
    add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_18,c_0_21]) ).

cnf(c_0_24,plain,
    add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    add(inverse(add(X1,inverse(X2))),X2) = X2,
    inference(spm,[status(thm)],[c_0_24,c_0_18]) ).

cnf(c_0_26,plain,
    inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1,
    inference(spm,[status(thm)],[c_0_6,c_0_25]) ).

cnf(c_0_27,plain,
    add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_18,c_0_7]) ).

cnf(c_0_28,plain,
    add(inverse(X1),inverse(add(X2,X1))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_18,c_0_26]) ).

cnf(c_0_29,plain,
    add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3),
    inference(spm,[status(thm)],[c_0_18,c_0_6]) ).

cnf(c_0_30,plain,
    add(X1,inverse(add(X1,inverse(add(X2,X1))))) = add(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]),c_0_18]),c_0_18]) ).

cnf(c_0_31,plain,
    inverse(add(add(X1,X2),X2)) = inverse(add(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_26]),c_0_18]) ).

cnf(c_0_32,plain,
    add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X2,X3))) = inverse(X3),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(inverse(add(X3,X4)),X1)),inverse(add(inverse(X2),inverse(add(X2,X5)))))))) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_34,plain,
    add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_18]),c_0_18]) ).

cnf(c_0_35,plain,
    add(add(X1,X2),X2) = add(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_18]) ).

cnf(c_0_36,plain,
    add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X3,X1))))) = add(X3,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_18]),c_0_18]) ).

cnf(c_0_37,plain,
    inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(add(X1,X2)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_18]) ).

cnf(c_0_38,plain,
    add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_18,c_0_8]) ).

cnf(c_0_39,plain,
    add(inverse(add(X1,X2)),inverse(add(inverse(add(X1,X3)),X2))) = inverse(X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_18]),c_0_18]),c_0_35]) ).

cnf(c_0_40,plain,
    add(X1,X2) = add(X2,X1),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    add(X1,inverse(add(inverse(add(X2,inverse(add(X3,X1)))),inverse(add(inverse(add(X4,X3)),X1))))) = add(inverse(add(X4,X3)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_38]),c_0_18]),c_0_18]) ).

cnf(c_0_42,plain,
    add(inverse(add(X1,X2)),inverse(add(inverse(add(X2,X3)),X1))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    add(inverse(add(X1,inverse(add(X2,X3)))),inverse(add(X3,inverse(add(inverse(add(X2,X3)),inverse(add(X1,inverse(add(X2,X3))))))))) = add(inverse(add(X2,X3)),inverse(add(X1,inverse(add(X2,X3))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_18]),c_0_40]) ).

cnf(c_0_44,plain,
    add(inverse(X1),inverse(add(X1,X2))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_28,c_0_40]) ).

cnf(c_0_45,plain,
    add(X1,inverse(add(X2,inverse(add(X2,X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_18]),c_0_15]),c_0_40]),c_0_40]) ).

cnf(c_0_46,plain,
    add(X1,inverse(add(X1,X2))) = add(X1,inverse(X2)),
    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_43,c_0_44]),c_0_18]),c_0_18]),c_0_40]),c_0_45]),c_0_18]),c_0_40]) ).

cnf(c_0_47,plain,
    add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X2,X1))))) = add(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_29]),c_0_18]),c_0_18]) ).

cnf(c_0_48,plain,
    add(X1,inverse(add(X2,inverse(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_18]) ).

cnf(c_0_49,plain,
    add(inverse(X1),add(X1,X2)) = add(X1,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_18]),c_0_40]),c_0_18]) ).

cnf(c_0_50,plain,
    add(X1,inverse(add(X2,inverse(add(X1,X2))))) = X1,
    inference(spm,[status(thm)],[c_0_45,c_0_40]) ).

cnf(c_0_51,plain,
    add(X1,add(X1,X2)) = add(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_18]),c_0_18]),c_0_15]),c_0_18]) ).

cnf(c_0_52,plain,
    add(add(X1,X2),inverse(X1)) = add(X1,inverse(X1)),
    inference(spm,[status(thm)],[c_0_40,c_0_49]) ).

cnf(c_0_53,plain,
    add(inverse(X1),add(X2,X1)) = add(X1,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_28]),c_0_18]),c_0_40]),c_0_18]) ).

cnf(c_0_54,plain,
    add(X1,inverse(add(add(X1,X2),inverse(add(X1,X2))))) = X1,
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    add(add(X1,X2),inverse(add(X1,X2))) = add(X2,inverse(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_18]),c_0_53]),c_0_18]),c_0_40]) ).

cnf(c_0_56,plain,
    add(X1,inverse(add(add(inverse(X2),X1),inverse(add(X2,X1))))) = add(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_18]),c_0_18]),c_0_18]) ).

cnf(c_0_57,plain,
    add(X1,inverse(add(inverse(X1),X2))) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_40]) ).

cnf(c_0_58,plain,
    add(X1,inverse(add(X2,inverse(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    add(inverse(add(X1,X2)),inverse(add(X2,inverse(X1)))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_27,c_0_40]) ).

cnf(c_0_60,plain,
    add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(inverse(X3),inverse(add(add(X2,X3),inverse(add(inverse(add(X1,X2)),X3))))))) = add(add(X2,X3),inverse(add(inverse(add(X1,X2)),X3))),
    inference(spm,[status(thm)],[c_0_56,c_0_38]) ).

cnf(c_0_61,plain,
    add(X1,add(inverse(X1),X2)) = add(X1,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_57]),c_0_18]) ).

cnf(c_0_62,plain,
    add(inverse(add(X1,inverse(X1))),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_58]),c_0_58]),c_0_15]),c_0_18]),c_0_58]) ).

cnf(c_0_63,plain,
    add(inverse(add(X1,X2)),inverse(add(X1,inverse(X2)))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_59,c_0_40]) ).

cnf(c_0_64,plain,
    add(X1,add(add(X2,X1),X3)) = add(add(X2,X1),X3),
    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_60,c_0_61]),c_0_18]),c_0_40]),c_0_55]),c_0_18]),c_0_18]),c_0_18]),c_0_40]),c_0_55]),c_0_58]),c_0_28]),c_0_18]),c_0_62]),c_0_18]),c_0_18]),c_0_40]),c_0_55]),c_0_58]) ).

cnf(c_0_65,plain,
    add(X1,inverse(add(X2,X1))) = add(X1,inverse(X2)),
    inference(spm,[status(thm)],[c_0_46,c_0_40]) ).

cnf(c_0_66,plain,
    add(inverse(add(X1,X2)),inverse(add(X2,inverse(add(X1,X3))))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_67,plain,
    add(inverse(X1),inverse(add(add(X2,X1),X3))) = inverse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_40]) ).

cnf(c_0_68,plain,
    add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(inverse(X3),inverse(add(add(X1,X3),inverse(add(inverse(add(X1,X2)),X3))))))) = add(add(X1,X3),inverse(add(inverse(add(X1,X2)),X3))),
    inference(spm,[status(thm)],[c_0_56,c_0_39]) ).

cnf(c_0_69,plain,
    add(X1,inverse(add(X2,inverse(add(X1,inverse(add(X2,X3))))))) = add(X1,inverse(add(X2,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_66]),c_0_18]),c_0_18]),c_0_40]) ).

cnf(c_0_70,plain,
    add(add(X1,X2),inverse(add(inverse(add(X3,X1)),X2))) = add(X2,add(X3,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_67]),c_0_18]),c_0_40]),c_0_65]),c_0_18]) ).

cnf(c_0_71,plain,
    add(add(X1,X2),inverse(add(inverse(add(X1,X3)),X2))) = add(X2,add(X1,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_67]),c_0_18]),c_0_40]),c_0_65]),c_0_18]) ).

cnf(c_0_72,plain,
    add(add(X1,X2),add(X3,X1)) = add(X2,add(X3,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_28]),c_0_18]) ).

cnf(c_0_73,negated_conjecture,
    add(add(a,b),c) != add(a,add(b,c)),
    huntinton_2 ).

cnf(c_0_74,plain,
    add(add(X1,X2),add(X2,add(X1,X3))) = add(X2,add(X1,X3)),
    inference(spm,[status(thm)],[c_0_51,c_0_71]) ).

cnf(c_0_75,plain,
    add(add(X1,X2),add(X2,X3)) = add(X3,add(X1,X2)),
    inference(spm,[status(thm)],[c_0_40,c_0_72]) ).

cnf(c_0_76,plain,
    add(add(X1,X2),add(X1,X3)) = add(X2,add(X1,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_71]),c_0_28]),c_0_18]) ).

cnf(c_0_77,plain,
    add(X1,add(X2,inverse(X1))) = add(X1,inverse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_18]) ).

cnf(c_0_78,negated_conjecture,
    add(c,add(a,b)) != add(a,add(b,c)),
    inference(rw,[status(thm)],[c_0_73,c_0_40]) ).

cnf(c_0_79,plain,
    add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

cnf(c_0_80,plain,
    add(X1,add(X2,add(X1,X3))) = add(X2,add(X1,X3)),
    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_68,c_0_77]),c_0_18]),c_0_40]),c_0_55]),c_0_18]),c_0_18]),c_0_18]),c_0_40]),c_0_55]),c_0_58]),c_0_28]),c_0_18]),c_0_62]),c_0_18]),c_0_18]),c_0_40]),c_0_55]),c_0_58]) ).

cnf(c_0_81,negated_conjecture,
    add(b,add(a,c)) != add(a,add(b,c)),
    inference(rw,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_82,plain,
    add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_79]),c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BOO073-1 : TPTP v9.2.1. Released v2.6.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n020.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 10:46:20 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 14.49/9.84  % Version  : CSE_E---1.7
% 14.49/9.84  % Problem  : theBenchmark.p
% 14.49/9.84  % SZS status Unsatisfiable for theBenchmark.p
% 14.49/9.84  % SZS output start CNFRefutation
% See solution above
% 14.49/9.89  % Total time : 7.382s
%------------------------------------------------------------------------------