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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW434-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:10:41 PM UTC 2026

% Result   : Unsatisfiable 16.17s 13.27s
% Output   : CNFRefutation 16.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   87 (  28 unt;  57 nHn;  81 RR)
%            Number of literals    :  189 ( 136 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :   96 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(wellformedness_5,axiom,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
    | X1 = X3
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(premise_8,hypothesis,
    heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).

cnf(premise_6,hypothesis,
    x9 != x14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).

cnf(unfolding_5,axiom,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5))))
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(premise_7,hypothesis,
    x13 != x14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).

cnf(c_0_7,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
    | X1 = X3
    | X1 = X2 ),
    inference(fof_simplification,[status(thm)],[wellformedness_5]) ).

cnf(c_0_8,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_9,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
    | X1 = X3
    | X1 = X2 ),
    c_0_7 ).

cnf(c_0_10,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

cnf(c_0_11,hypothesis,
    heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
    premise_8 ).

cnf(c_0_12,hypothesis,
    x9 != x14,
    inference(fof_simplification,[status(thm)],[premise_6]) ).

cnf(c_0_13,plain,
    ( ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,hypothesis,
    heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x1,x7),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_15,hypothesis,
    x9 != x14,
    c_0_12 ).

cnf(c_0_16,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5))))
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | X3 = X4 ),
    inference(fof_simplification,[status(thm)],[unfolding_5]) ).

cnf(c_0_17,hypothesis,
    x1 = x9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_18,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization ).

cnf(c_0_19,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5))))
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | X3 = X4 ),
    c_0_16 ).

cnf(c_0_20,hypothesis,
    heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))))),
    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_14,c_0_17]),c_0_18]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_21,plain,
    ( ~ heap(sep(lseg(X3,X6),sep(lseg(X1,X2),sep(X4,sep(lseg(X6,X1),X5)))))
    | heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_19,c_0_10]) ).

cnf(c_0_22,hypothesis,
    x7 = x9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_15]) ).

cnf(c_0_23,plain,
    ( ~ heap(sep(X4,sep(lseg(X1,X2),sep(X5,sep(lseg(X1,X3),X6)))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_13,c_0_8]) ).

cnf(c_0_24,plain,
    sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X3,sep(X2,sep(X4,sep(X1,X5)))),
    inference(spm,[status(thm)],[c_0_10,c_0_10]) ).

cnf(c_0_25,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X3,X6),sep(lseg(X6,X1),X5)))))
    | heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_26,hypothesis,
    heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_17]),c_0_17]),c_0_18]),c_0_18]) ).

cnf(c_0_27,plain,
    ( ~ heap(sep(X4,sep(X5,sep(X6,sep(lseg(X1,X3),sep(lseg(X1,X2),X7))))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_8]),c_0_8]) ).

cnf(c_0_29,hypothesis,
    ( x3 = x11
    | x11 = x13
    | x8 = x14 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))
    | x8 = x14
    | x11 = x13 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_18]),c_0_8]) ).

cnf(c_0_31,hypothesis,
    ( x11 = x13
    | x11 = x9
    | x8 = x14 ),
    inference(spm,[status(thm)],[c_0_27,c_0_30]) ).

cnf(c_0_32,plain,
    ( ~ heap(sep(X4,sep(X5,sep(lseg(X1,X2),sep(lseg(X1,X3),X6)))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_33,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))))
    | x8 = x14
    | x11 = x9 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_18]),c_0_8]) ).

cnf(c_0_34,hypothesis,
    ( x13 = x8
    | x3 = x13
    | x11 = x9
    | x8 = x14 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x13,x8),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))
    | x11 = x9
    | x8 = x14
    | x13 = x8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_18]) ).

cnf(c_0_36,hypothesis,
    ( x13 != x9
    | x8 = x14
    | x11 = x9 ),
    inference(ef,[status(thm)],[c_0_31]) ).

cnf(c_0_37,hypothesis,
    ( x13 = x8
    | x8 = x14
    | x11 = x9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_35]),c_0_36]) ).

cnf(c_0_38,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x9,x3),sep(lseg(x13,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))))
    | x8 = x14
    | x13 = x8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_37]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_39,hypothesis,
    ( x3 = x9
    | x13 = x8
    | x8 = x14 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_15]) ).

cnf(c_0_40,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))
    | x13 = x9
    | x8 = x14
    | x13 = x8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_18]),c_0_8]),c_0_8]) ).

cnf(c_0_41,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))
    | x13 = x8
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_18]),c_0_18]) ).

cnf(c_0_42,hypothesis,
    ( x13 = x9
    | x13 = x8
    | x8 = x14 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_40]),c_0_15]) ).

cnf(c_0_43,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))
    | x8 = x14
    | x13 = x8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_41]),c_0_8]),c_0_8]) ).

cnf(c_0_44,hypothesis,
    ( x9 != x8
    | x8 = x14
    | x13 = x8 ),
    inference(ef,[status(thm)],[c_0_42]) ).

cnf(c_0_45,hypothesis,
    ( x13 = x8
    | x8 = x14 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_43]),c_0_15]),c_0_44]) ).

cnf(c_0_46,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x11,x8),sep(lseg(x11,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))
    | x11 = x8
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_18]),c_0_8]) ).

cnf(c_0_47,hypothesis,
    ( x11 = x8
    | x11 = x9
    | x8 = x14 ),
    inference(spm,[status(thm)],[c_0_32,c_0_46]) ).

cnf(c_0_48,hypothesis,
    ( x9 != x8
    | x8 = x14
    | x11 = x8 ),
    inference(ef,[status(thm)],[c_0_47]) ).

cnf(c_0_49,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))
    | x8 = x14
    | x11 = x8 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_8]),c_0_18]),c_0_48]) ).

cnf(c_0_50,plain,
    ( ~ heap(sep(X4,sep(lseg(X3,X6),sep(lseg(X1,X2),sep(lseg(X6,X1),X5)))))
    | heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_51,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp))))))))
    | x11 = x9
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_18]),c_0_8]) ).

cnf(c_0_52,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x11,x8),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_18]) ).

cnf(c_0_53,hypothesis,
    ( x11 = x8
    | x8 = x14 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_49]),c_0_15]),c_0_48]) ).

cnf(c_0_54,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))
    | x8 = x14
    | x11 = x9 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_15]),c_0_8]),c_0_8]) ).

cnf(c_0_55,hypothesis,
    ( x9 != x8
    | x11 = x9
    | x8 = x14 ),
    inference(spm,[status(thm)],[c_0_36,c_0_45]) ).

cnf(c_0_56,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp))))))))
    | x8 = x14 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_18]),c_0_8]),c_0_8]) ).

cnf(c_0_57,hypothesis,
    ( x8 = x14
    | x11 = x9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_54]),c_0_55]) ).

cnf(c_0_58,hypothesis,
    ( heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x12),emp)))))))
    | x8 = x14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_56]),c_0_8]),c_0_8]),c_0_15]) ).

cnf(c_0_59,hypothesis,
    ( x8 = x14
    | x9 = x8 ),
    inference(spm,[status(thm)],[c_0_53,c_0_57]) ).

cnf(c_0_60,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3)))
    | X1 = X2 ),
    inference(ef,[status(thm)],[c_0_9]) ).

cnf(c_0_61,hypothesis,
    x8 = x14,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_18]),c_0_60]) ).

cnf(c_0_62,hypothesis,
    heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))),
    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_14,c_0_61]),c_0_17]),c_0_17]),c_0_22]),c_0_18]),c_0_18]),c_0_18]) ).

cnf(c_0_63,hypothesis,
    ( x3 = x11
    | x11 = x13 ),
    inference(spm,[status(thm)],[c_0_27,c_0_62]) ).

cnf(c_0_64,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))
    | x11 = x13 ),
    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_14,c_0_63]),c_0_61]),c_0_17]),c_0_61]),c_0_17]),c_0_22]),c_0_18]),c_0_18]),c_0_8]),c_0_18]),c_0_18]) ).

cnf(c_0_65,hypothesis,
    ( x11 = x13
    | x11 = x9 ),
    inference(spm,[status(thm)],[c_0_27,c_0_64]) ).

cnf(c_0_66,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x13,x3),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp)))))))))
    | x11 = x9 ),
    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_14,c_0_65]),c_0_61]),c_0_17]),c_0_61]),c_0_17]),c_0_22]),c_0_8]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_8]) ).

cnf(c_0_67,hypothesis,
    ( x3 = x13
    | x12 = x13
    | x11 = x9 ),
    inference(spm,[status(thm)],[c_0_13,c_0_66]) ).

cnf(c_0_68,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x9),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))
    | x11 = x9
    | x12 = x13 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_18]),c_0_8]),c_0_8]) ).

cnf(c_0_69,hypothesis,
    ( x13 != x9
    | x11 = x9 ),
    inference(ef,[status(thm)],[c_0_65]) ).

cnf(c_0_70,hypothesis,
    ( x12 = x13
    | x11 = x9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_68]),c_0_69]) ).

cnf(c_0_71,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x12),sep(lseg(x12,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))
    | x13 = x9
    | x12 = x13 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_18]),c_0_8]),c_0_8]),c_0_8]) ).

cnf(c_0_72,hypothesis,
    ( x13 = x9
    | x12 = x13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_71]),c_0_15]) ).

cnf(c_0_73,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x3),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp))))))))
    | x11 = x9 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_72]),c_0_18]),c_0_8]),c_0_69]) ).

cnf(c_0_74,hypothesis,
    x13 != x14,
    inference(fof_simplification,[status(thm)],[premise_7]) ).

cnf(c_0_75,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x13,x9),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp)))))))
    | x11 = x9 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_73]),c_0_15]),c_0_8]),c_0_8]) ).

cnf(c_0_76,hypothesis,
    x13 != x14,
    c_0_74 ).

cnf(c_0_77,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x13,x14),sep(lseg(x11,x9),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x11),emp))))))))
    | x11 = x13
    | x13 = x9 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_72]),c_0_18]) ).

cnf(c_0_78,hypothesis,
    x11 = x9,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_75]),c_0_76]),c_0_69]) ).

cnf(c_0_79,hypothesis,
    ( heap(sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x13),emp)))))))
    | x13 = x9 ),
    inference(cn,[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_77,c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_8]),c_0_18]),c_0_8])]) ).

cnf(c_0_80,hypothesis,
    x13 = x9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_79]),c_0_15]) ).

cnf(c_0_81,plain,
    ( ~ heap(sep(lseg(X1,X3),sep(X4,sep(lseg(X1,X2),X5))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_82,hypothesis,
    heap(sep(lseg(x9,x14),sep(lseg(x9,x12),sep(lseg(x9,x3),sep(lseg(x12,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))),
    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_14,c_0_80]),c_0_61]),c_0_17]),c_0_61]),c_0_78]),c_0_78]),c_0_17]),c_0_22]),c_0_78]),c_0_8]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_8]) ).

cnf(c_0_83,hypothesis,
    x3 = x9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_15]) ).

cnf(c_0_84,hypothesis,
    x12 = x9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_82]),c_0_15]) ).

cnf(c_0_85,hypothesis,
    heap(sep(lseg(x9,x14),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp)))))),
    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_14,c_0_83]),c_0_61]),c_0_17]),c_0_80]),c_0_84]),c_0_84]),c_0_61]),c_0_78]),c_0_80]),c_0_78]),c_0_17]),c_0_22]),c_0_84]),c_0_78]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_18]) ).

cnf(c_0_86,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_85]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW434-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.69  % Computer : n013.cluster.edu
% 0.15/10.69  % Model    : x86_64 x86_64
% 0.15/10.69  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.69  % Memory   : 8046.5625MB
% 0.15/10.69  % OS       : Linux 6.8.0-71-generic
% 0.15/10.69  % CPULimit : 300
% 0.15/10.69  % WCLimit  : 300
% 0.15/10.69  % DateTime : Mon Sep 21 09:52:17 UTC 2026
% 0.15/10.69  % CPUTime  : 
% 0.15/10.69  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/10.75  Running first-order theorem proving
% 0.21/10.75  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.17/13.27  % Version: 3.5.1
% 16.17/13.27  % Preprocessing class: FSMSSMSMSSSNFFN.
% 16.17/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.17/13.27  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 16.17/13.27  % Starting new_bool_3 with 300s (1) cores
% 16.17/13.27  % Starting new_bool_1 with 300s (1) cores
% 16.17/13.27  % Starting sh5l with 300s (1) cores
% 16.17/13.27  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 486085 completed with status 0
% 16.17/13.27  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 16.17/13.27  % Preprocessing class: FSMSSMSMSSSNFFN.
% 16.17/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.17/13.27  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 16.17/13.27  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.17/13.27  % No SInE strategy applied
% 16.17/13.27  % Search class: FGUSS-FFMF22-DFFFFFNN
% 16.17/13.27  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.17/13.27  % Starting SubtermCWHack with 136s (1) cores
% 16.17/13.27  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 16.17/13.27  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 303s (1) cores
% 16.17/13.27  % Starting new_bool_3 with 298s (1) cores
% 16.17/13.27  % Starting new_bool_1 with 291s (1) cores
% 16.17/13.27  % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 486093 completed with status 0
% 16.17/13.27  % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 16.17/13.27  % Preprocessing class: FSMSSMSMSSSNFFN.
% 16.17/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.17/13.27  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 16.17/13.27  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.17/13.27  % No SInE strategy applied
% 16.17/13.27  % Search class: FGUSS-FFMF22-DFFFFFNN
% 16.17/13.27  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.17/13.27  % Starting SubtermCWHack with 136s (1) cores
% 16.17/13.27  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 16.17/13.27  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 303s (1) cores
% 16.17/13.27  % Preprocessing time       : 0.002 s
% 16.17/13.27  
% 16.17/13.27  % Proof found!
% 16.17/13.27  % SZS status Unsatisfiable
% 16.17/13.27  % SZS output start CNFRefutation
% See solution above
% 16.17/13.27  % Parsed axioms                        : 20
% 16.17/13.27  % Removed by relevancy pruning/SinE    : 0
% 16.17/13.27  % Initial clauses                      : 20
% 16.17/13.27  % Removed in clause preprocessing      : 1
% 16.17/13.27  % Initial clauses in saturation        : 19
% 16.17/13.27  % Processed clauses                    : 4435
% 16.17/13.27  % ...of these trivial                  : 5
% 16.17/13.27  % ...subsumed                          : 3974
% 16.17/13.27  % ...remaining for further processing  : 456
% 16.17/13.27  % Other redundant clauses eliminated   : 22
% 16.17/13.27  % Clauses deleted for lack of memory   : 0
% 16.17/13.27  % Backward-subsumed                    : 42
% 16.17/13.27  % Backward-rewritten                   : 31
% 16.17/13.27  % Generated clauses                    : 61555
% 16.17/13.27  % ...of the previous two non-redundant : 61312
% 16.17/13.27  % ...aggressively subsumed             : 0
% 16.17/13.27  % Contextual simplify-reflections      : 11
% 16.17/13.27  % Paramodulations                      : 61441
% 16.17/13.27  % Factorizations                       : 92
% 16.17/13.27  % NegExts                              : 0
% 16.17/13.27  % Equation resolutions                 : 22
% 16.17/13.27  % Disequality decompositions           : 0
% 16.17/13.27  % Total rewrite steps                  : 1829
% 16.17/13.27  % ...of those cached                   : 1298
% 16.17/13.27  % Propositional unsat checks           : 0
% 16.17/13.27  %    Propositional check models        : 0
% 16.17/13.27  %    Propositional check unsatisfiable : 0
% 16.17/13.27  %    Propositional clauses             : 0
% 16.17/13.27  %    Propositional clauses after purity: 0
% 16.17/13.27  %    Propositional unsat core size     : 0
% 16.17/13.27  %    Propositional preprocessing time  : 0.000
% 16.17/13.27  %    Propositional encoding time       : 0.000
% 16.17/13.27  %    Propositional solver time         : 0.000
% 16.17/13.27  %    Success case prop preproc time    : 0.000
% 16.17/13.27  %    Success case prop encoding time   : 0.000
% 16.17/13.27  %    Success case prop solver time     : 0.000
% 16.17/13.27  % Current number of processed clauses  : 383
% 16.17/13.27  %    Positive orientable unit clauses  : 14
% 16.17/13.27  %    Positive unorientable unit clauses: 13
% 16.17/13.27  %    Negative unit clauses             : 47
% 16.17/13.27  %    Non-unit-clauses                  : 309
% 16.17/13.27  % Current number of unprocessed clauses: 56791
% 16.17/13.27  % ...number of literals in the above   : 144063
% 16.17/13.27  % Current number of archived formulas  : 0
% 16.17/13.27  % Current number of archived clauses   : 73
% 16.17/13.27  % Clause-clause subsumption calls (NU) : 53661
% 16.17/13.27  % Rec. Clause-clause subsumption calls : 53116
% 16.17/13.27  % Non-unit clause-clause subsumptions  : 1496
% 16.17/13.27  % Unit Clause-clause subsumption calls : 1278
% 16.17/13.27  % Rewrite failures with RHS unbound    : 0
% 16.17/13.27  % BW rewrite match attempts            : 2544
% 16.17/13.27  % BW rewrite match successes           : 883
% 16.17/13.27  % Condensation attempts                : 0
% 16.17/13.27  % Condensation successes               : 0
% 16.17/13.27  % Termbank termtop insertions          : 1090273
% 16.17/13.27  % Search garbage collected termcells   : 42
% 16.17/13.27  
% 16.17/13.27  % -------------------------------------------------
% 16.17/13.27  % User time                : 2.305 s
% 16.17/13.27  % System time              : 0.090 s
% 16.17/13.27  % Total time               : 2.395 s
% 16.17/13.27  % Maximum resident set size: 3664 pages
% 16.17/13.27  
% 16.17/13.27  % -------------------------------------------------
% 16.17/13.27  % User time                : 10.669 s
% 16.17/13.27  % System time              : 0.325 s
% 16.17/13.27  % Total time               : 10.994 s
% 16.17/13.27  % Maximum resident set size: 4608 pages
% 16.17/13.27  % E exiting
%------------------------------------------------------------------------------