TSTP Solution File: SWW410-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 May  3 03:24:56 EDT 2024

% Result   : Unsatisfiable 170.55s 23.26s
% Output   : CNFRefutation 170.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   89 (  41 unt;  12 nHn;  68 RR)
%            Number of literals    :  173 (  87 equ;  75 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  132 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    x1 != x3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

cnf(c_53,plain,
    heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

cnf(c_54,negated_conjecture,
    ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

cnf(c_55,plain,
    sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(c_56,plain,
    sep(lseg(X0,X0),X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(c_62,plain,
    ( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
    | X0 = X1
    | heap(sep(lseg(X0,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(c_63,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X0,nil),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).

cnf(c_65,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4))))
    | X2 = X3
    | heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).

cnf(c_146,plain,
    heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
    inference(demodulation,[status(thm)],[c_53,c_55]) ).

cnf(c_154,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_156,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_159,plain,
    ( X0 != X1
    | X2 != X3
    | sep(X0,X2) = sep(X1,X3) ),
    theory(equality) ).

cnf(c_160,plain,
    ( X0 != X1
    | ~ heap(X1)
    | heap(X0) ),
    theory(equality) ).

cnf(c_164,plain,
    nil = nil,
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_372,plain,
    ( X0 != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
    | heap(X0) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_391,plain,
    ( sep(X0,X1) != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
    | heap(sep(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_372]) ).

cnf(c_392,plain,
    ( X0 != lseg(x3,nil)
    | X1 != sep(lseg(x2,x1),sep(next(x1,x3),emp))
    | sep(X0,X1) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_414,plain,
    ( X0 != sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))))
    | heap(X0) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_452,plain,
    ( lseg(x3,nil) != lseg(x3,nil)
    | X0 != sep(lseg(x2,x1),sep(next(x1,x3),emp))
    | sep(lseg(x3,nil),X0) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_392]) ).

cnf(c_453,plain,
    lseg(x3,nil) = lseg(x3,nil),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_497,plain,
    ( sep(X0,X1) != sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))))
    | heap(sep(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_414]) ).

cnf(c_498,plain,
    ( X0 != lseg(x2,x1)
    | X1 != sep(lseg(x3,nil),sep(next(x1,x3),emp))
    | sep(X0,X1) = sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_516,plain,
    ( sep(next(x1,x3),sep(lseg(x2,x1),emp)) != sep(lseg(x2,x1),sep(next(x1,x3),emp))
    | lseg(x3,nil) != lseg(x3,nil)
    | sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_452]) ).

cnf(c_517,plain,
    sep(next(x1,x3),sep(lseg(x2,x1),emp)) = sep(lseg(x2,x1),sep(next(x1,x3),emp)),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_542,plain,
    ( X0 != X1
    | x3 != X1
    | X0 = x3 ),
    inference(instantiation,[status(thm)],[c_156]) ).

cnf(c_543,plain,
    ( nil != nil
    | x3 != nil
    | nil = x3 ),
    inference(instantiation,[status(thm)],[c_542]) ).

cnf(c_637,plain,
    ( sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
    | heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))) ),
    inference(instantiation,[status(thm)],[c_391]) ).

cnf(c_753,plain,
    ( lseg(x2,x1) != lseg(x2,x1)
    | X0 != sep(lseg(x3,nil),sep(next(x1,x3),emp))
    | sep(lseg(x2,x1),X0) = sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_498]) ).

cnf(c_754,plain,
    lseg(x2,x1) = lseg(x2,x1),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_920,plain,
    ( X0 != sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))
    | ~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))))
    | heap(X0) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_950,plain,
    ( sep(next(x1,x3),sep(lseg(x3,nil),emp)) != sep(lseg(x3,nil),sep(next(x1,x3),emp))
    | lseg(x2,x1) != lseg(x2,x1)
    | sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp))) = sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_753]) ).

cnf(c_951,plain,
    sep(next(x1,x3),sep(lseg(x3,nil),emp)) = sep(lseg(x3,nil),sep(next(x1,x3),emp)),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_1059,plain,
    sep(X0,sep(X1,sep(X2,X3))) = sep(X1,sep(X2,sep(X0,X3))),
    inference(superposition,[status(thm)],[c_55,c_55]) ).

cnf(c_1556,plain,
    ( sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp))) != sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))
    | ~ heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))))
    | heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))) ),
    inference(instantiation,[status(thm)],[c_497]) ).

cnf(c_1581,plain,
    ( sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) != sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))
    | ~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))))
    | heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
    inference(instantiation,[status(thm)],[c_920]) ).

cnf(c_1582,plain,
    sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_3109,plain,
    ( X0 != sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))
    | ~ heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp))))
    | heap(X0) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_3111,plain,
    ( ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
    | x1 = x3
    | heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_3946,plain,
    ( ~ heap(sep(next(X0,X1),X2))
    | X0 = X1
    | heap(sep(lseg(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_56,c_62]) ).

cnf(c_8454,plain,
    sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
    inference(superposition,[status(thm)],[c_1059,c_55]) ).

cnf(c_8475,plain,
    ( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X3,X0),X4))))
    | X1 = X2
    | heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4))) ),
    inference(superposition,[status(thm)],[c_1059,c_65]) ).

cnf(c_8664,plain,
    sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X1,sep(X0,X3))),
    inference(superposition,[status(thm)],[c_1059,c_55]) ).

cnf(c_9352,plain,
    sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))) = sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp))),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_11343,plain,
    sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,X2),
    inference(superposition,[status(thm)],[c_56,c_55]) ).

cnf(c_11355,plain,
    sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_11585,plain,
    sep(lseg(X0,X0),sep(X1,sep(X2,X3))) = sep(X2,sep(X1,X3)),
    inference(superposition,[status(thm)],[c_8454,c_56]) ).

cnf(c_11795,plain,
    sep(X0,sep(lseg(X1,X1),sep(X2,X3))) = sep(X2,sep(X0,X3)),
    inference(superposition,[status(thm)],[c_56,c_8664]) ).

cnf(c_11842,plain,
    sep(X0,sep(X1,sep(lseg(X2,X2),X3))) = sep(X1,sep(X0,X3)),
    inference(superposition,[status(thm)],[c_8664,c_56]) ).

cnf(c_12596,plain,
    sep(lseg(X0,X0),X1) = sep(lseg(X2,X2),X1),
    inference(superposition,[status(thm)],[c_11355,c_11343]) ).

cnf(c_12725,plain,
    sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,sep(lseg(X3,X3),X2)),
    inference(superposition,[status(thm)],[c_12596,c_55]) ).

cnf(c_13366,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,nil),X2)))
    | heap(sep(lseg(X1,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_11585,c_63]) ).

cnf(c_13610,plain,
    ( ~ heap(sep(X0,sep(next(X1,X2),X3)))
    | X1 = X2
    | heap(sep(lseg(X1,X2),sep(X0,X3))) ),
    inference(superposition,[status(thm)],[c_11795,c_62]) ).

cnf(c_13692,plain,
    ( sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))) != sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))
    | ~ heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp))))
    | heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) ),
    inference(instantiation,[status(thm)],[c_3109]) ).

cnf(c_13893,plain,
    ( ~ heap(sep(lseg(X0,nil),sep(lseg(X1,X0),X2)))
    | heap(sep(lseg(X1,nil),sep(lseg(X3,X3),X2))) ),
    inference(superposition,[status(thm)],[c_11842,c_63]) ).

cnf(c_21525,plain,
    ( ~ heap(sep(lseg(X0,X0),sep(next(X1,X2),X3)))
    | X1 = X2
    | heap(sep(lseg(X1,X2),X3)) ),
    inference(superposition,[status(thm)],[c_12725,c_62]) ).

cnf(c_21784,plain,
    ( X0 != sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))
    | ~ heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))
    | heap(X0) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_22883,plain,
    ( sep(lseg(x3,nil),sep(lseg(x2,x3),emp)) != X0
    | ~ heap(X0)
    | heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_26593,plain,
    sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,X2),
    inference(superposition,[status(thm)],[c_56,c_55]) ).

cnf(c_26605,plain,
    sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_26784,plain,
    ( ~ heap(sep(X0,X1))
    | heap(sep(lseg(nil,nil),sep(X0,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_13366]) ).

cnf(c_27079,plain,
    sep(lseg(X0,X0),X1) = sep(lseg(X2,X2),X1),
    inference(superposition,[status(thm)],[c_26605,c_26593]) ).

cnf(c_27145,plain,
    ( ~ heap(sep(X0,sep(lseg(X1,X1),X2)))
    | heap(sep(lseg(nil,nil),sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_27079,c_13366]) ).

cnf(c_27894,plain,
    sep(lseg(X0,X0),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) = sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_27896,plain,
    sep(lseg(nil,nil),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) = sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))),
    inference(instantiation,[status(thm)],[c_27894]) ).

cnf(c_28975,plain,
    ( sep(lseg(x3,nil),sep(lseg(x2,x3),emp)) != sep(lseg(x2,x3),sep(lseg(x3,nil),emp))
    | ~ heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
    | heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))) ),
    inference(instantiation,[status(thm)],[c_22883]) ).

cnf(c_28976,plain,
    sep(lseg(x3,nil),sep(lseg(x2,x3),emp)) = sep(lseg(x2,x3),sep(lseg(x3,nil),emp)),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_29286,plain,
    ( ~ heap(sep(X0,X1))
    | heap(sep(lseg(X2,X2),sep(X0,X1))) ),
    inference(superposition,[status(thm)],[c_27079,c_26784]) ).

cnf(c_32878,plain,
    sep(lseg(X0,X0),sep(X1,sep(X2,X3))) = sep(X2,sep(X1,X3)),
    inference(superposition,[status(thm)],[c_1059,c_26605]) ).

cnf(c_43471,plain,
    ( sep(lseg(X0,X0),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) != sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))
    | ~ heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))
    | heap(sep(lseg(X0,X0),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))) ),
    inference(instantiation,[status(thm)],[c_21784]) ).

cnf(c_43481,plain,
    ( sep(lseg(nil,nil),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) != sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))
    | ~ heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))
    | heap(sep(lseg(nil,nil),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))) ),
    inference(instantiation,[status(thm)],[c_43471]) ).

cnf(c_52209,plain,
    ( ~ heap(sep(X0,sep(X1,X2)))
    | heap(sep(X1,sep(X0,X2))) ),
    inference(superposition,[status(thm)],[c_32878,c_29286]) ).

cnf(c_66056,plain,
    ( ~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))))
    | x1 = x3
    | heap(sep(lseg(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
    inference(instantiation,[status(thm)],[c_13610]) ).

cnf(c_67869,plain,
    ( ~ heap(sep(lseg(nil,nil),sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))))
    | x1 = x3
    | heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) ),
    inference(instantiation,[status(thm)],[c_21525]) ).

cnf(c_103868,plain,
    ( ~ heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
    | heap(sep(lseg(x2,nil),sep(lseg(X0,X0),emp))) ),
    inference(instantiation,[status(thm)],[c_13893]) ).

cnf(c_103870,plain,
    ( ~ heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
    | heap(sep(lseg(x2,nil),sep(lseg(nil,nil),emp))) ),
    inference(instantiation,[status(thm)],[c_103868]) ).

cnf(c_106280,plain,
    ( ~ heap(sep(lseg(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
    | x3 = nil
    | heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp))) ),
    inference(instantiation,[status(thm)],[c_8475]) ).

cnf(c_148954,plain,
    ( ~ heap(sep(lseg(x2,nil),sep(lseg(nil,nil),emp)))
    | heap(sep(lseg(nil,nil),sep(lseg(x2,nil),emp))) ),
    inference(instantiation,[status(thm)],[c_27145]) ).

cnf(c_485303,plain,
    heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
    inference(superposition,[status(thm)],[c_146,c_52209]) ).

cnf(c_487600,plain,
    heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))),
    inference(superposition,[status(thm)],[c_1059,c_485303]) ).

cnf(c_490154,plain,
    heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))),
    inference(superposition,[status(thm)],[c_487600,c_52209]) ).

cnf(c_490158,plain,
    heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))),
    inference(superposition,[status(thm)],[c_1059,c_490154]) ).

cnf(c_490164,plain,
    heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))),
    inference(superposition,[status(thm)],[c_490158,c_52209]) ).

cnf(c_505470,plain,
    ( x1 = x3
    | heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) ),
    inference(superposition,[status(thm)],[c_490164,c_3946]) ).

cnf(c_505955,plain,
    heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))),
    inference(global_subsumption_just,[status(thm)],[c_505470,c_51,c_53,c_754,c_950,c_951,c_1556,c_9352,c_13692,c_27896,c_43481,c_67869]) ).

cnf(c_505964,plain,
    heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(lseg(x3,nil),emp)))),
    inference(superposition,[status(thm)],[c_505955,c_52209]) ).

cnf(c_506370,plain,
    ( nil = x3
    | heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp))) ),
    inference(superposition,[status(thm)],[c_505964,c_65]) ).

cnf(c_506605,plain,
    nil = x3,
    inference(global_subsumption_just,[status(thm)],[c_506370,c_51,c_54,c_146,c_164,c_453,c_516,c_517,c_543,c_637,c_28975,c_28976,c_66056,c_106280]) ).

cnf(c_506619,plain,
    ~ heap(sep(lseg(nil,nil),sep(lseg(x2,nil),emp))),
    inference(superposition,[status(thm)],[c_506605,c_54]) ).

cnf(c_506620,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_506619,c_148954,c_103870,c_3111,c_1582,c_1581,c_637,c_517,c_516,c_453,c_146,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 22:15:05 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 170.55/23.26  % SZS status Started for theBenchmark.p
% 170.55/23.26  % SZS status Unsatisfiable for theBenchmark.p
% 170.55/23.26  
% 170.55/23.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 170.55/23.26  
% 170.55/23.26  ------  iProver source info
% 170.55/23.26  
% 170.55/23.26  git: date: 2024-05-02 19:28:25 +0000
% 170.55/23.26  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 170.55/23.26  git: non_committed_changes: false
% 170.55/23.26  
% 170.55/23.26  ------ Parsing...successful
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 170.55/23.26  
% 170.55/23.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 170.55/23.26  
% 170.55/23.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 170.55/23.26  ------ Proving...
% 170.55/23.26  ------ Problem Properties 
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  clauses                                 17
% 170.55/23.26  conjectures                             1
% 170.55/23.26  EPR                                     4
% 170.55/23.26  Horn                                    14
% 170.55/23.26  unary                                   10
% 170.55/23.26  binary                                  4
% 170.55/23.26  lits                                    27
% 170.55/23.26  lits eq                                 12
% 170.55/23.26  fd_pure                                 0
% 170.55/23.26  fd_pseudo                               0
% 170.55/23.26  fd_cond                                 1
% 170.55/23.26  fd_pseudo_cond                          4
% 170.55/23.26  AC symbols                              0
% 170.55/23.26  
% 170.55/23.26  ------ Input Options Time Limit: Unbounded
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  ------ 
% 170.55/23.26  Current options:
% 170.55/23.26  ------ 
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  ------ Proving...
% 170.55/23.26  
% 170.55/23.26  
% 170.55/23.26  % SZS status Unsatisfiable for theBenchmark.p
% 170.55/23.26  
% 170.55/23.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 170.55/23.26  
% 170.55/23.26  
%------------------------------------------------------------------------------