TSTP Solution File: SWW436-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:17:46 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   49 (  20 unt;  20 typ;   0 def)
%            Number of atoms       :   40 (  26 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   6   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    lseg: ( $i * $i ) > $i ).

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

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

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

tff(decl_27,type,
    x6: $i ).

tff(decl_28,type,
    x14: $i ).

tff(decl_29,type,
    x3: $i ).

tff(decl_30,type,
    x13: $i ).

tff(decl_31,type,
    x4: $i ).

tff(decl_32,type,
    x7: $i ).

tff(decl_33,type,
    x12: $i ).

tff(decl_34,type,
    x1: $i ).

tff(decl_35,type,
    x10: $i ).

tff(decl_36,type,
    x15: $i ).

tff(decl_37,type,
    x2: $i ).

tff(decl_38,type,
    x9: $i ).

tff(decl_39,type,
    x5: $i ).

tff(decl_40,type,
    x8: $i ).

tff(decl_41,type,
    emp: $i ).

cnf(premise_9,hypothesis,
    heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).

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

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

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

cnf(premise_4,hypothesis,
    x4 != x6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_5,hypothesis,
    x4 != x7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

cnf(c_0_6,hypothesis,
    heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
    premise_9 ).

cnf(c_0_7,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_8,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5 ).

cnf(c_0_9,hypothesis,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,x8),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)],[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_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_10,hypothesis,
    ( x9 = x4
    | x13 = x4 ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization ).

cnf(c_0_12,hypothesis,
    ( x9 = x4
    | heap(sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x4,x2),sep(lseg(x14,x8),emp)))))))))))))))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_13,hypothesis,
    ( x9 = x4
    | heap(sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,x8),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(spm,[status(thm)],[c_0_12,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_14,hypothesis,
    ( x2 = x4
    | x9 = x4 ),
    inference(spm,[status(thm)],[c_0_8,c_0_13]) ).

cnf(c_0_15,hypothesis,
    ( x2 = x4
    | heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,x8),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(spm,[status(thm)],[c_0_9,c_0_14]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_16,hypothesis,
    x4 != x6,
    premise_4 ).

cnf(c_0_17,hypothesis,
    ( x2 = x4
    | x13 = x4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_15]),c_0_16]) ).

cnf(c_0_18,hypothesis,
    ( x2 = x4
    | heap(sep(lseg(x4,x6),sep(lseg(x4,x2),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,x8),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(spm,[status(thm)],[c_0_15,c_0_17]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_19,hypothesis,
    x2 = x4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_18]),c_0_16]) ).

cnf(c_0_20,hypothesis,
    heap(sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),emp))))))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_21,hypothesis,
    x9 = x4,
    inference(spm,[status(thm)],[c_0_8,c_0_20]) ).

cnf(c_0_22,hypothesis,
    heap(sep(lseg(x4,x6),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),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_9,c_0_21]),c_0_11]),c_0_19]),c_0_19]),c_0_7]),c_0_7]),c_0_19]),c_0_19]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_23,hypothesis,
    x15 = x4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_22]),c_0_16]) ).

cnf(c_0_24,hypothesis,
    heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),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(spm,[status(thm)],[c_0_9,c_0_23]),c_0_21]),c_0_19]),c_0_19]),c_0_21]),c_0_19]),c_0_21]),c_0_21]),c_0_19]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_25,hypothesis,
    x13 = x4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_24]),c_0_16]) ).

cnf(c_0_26,hypothesis,
    heap(sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x14,x8),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(spm,[status(thm)],[c_0_9,c_0_25]),c_0_21]),c_0_11]),c_0_19]),c_0_19]),c_0_21]),c_0_19]),c_0_23]),c_0_21]),c_0_21]),c_0_23]),c_0_23]),c_0_7]),c_0_19]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_27,hypothesis,
    x4 != x7,
    premise_5 ).

cnf(c_0_28,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_26]),c_0_27]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n012.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 Aug 27 20:24:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.015000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.018000 s
%------------------------------------------------------------------------------