%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 : Wed May 31 12:41:36 EDT 2023

% Result   : Theorem 3.33s 0.82s
% Output   : CNFRefutation 3.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   52 (;  48   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,lemma,
    ! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f64,conjecture,
    ! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f65,negated_conjecture,
    ~ ! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
    inference(negated_conjecture,[status(cth)],[f64]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[status(esa)],[f42]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
    inference(cnf_transformation,[status(esa)],[f63]) ).

fof(f231,plain,
    ? [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) != insert_pq(i(triple(U,V,W)),X),
    inference(pre_NNF_transformation,[status(esa)],[f65]) ).

fof(f232,plain,
    i(insert_cpq(triple(sk0_4,sk0_5,sk0_6),sk0_7)) != insert_pq(i(triple(sk0_4,sk0_5,sk0_6)),sk0_7),
    inference(skolemization,[status(esa)],[f231]) ).

fof(f233,plain,
    i(insert_cpq(triple(sk0_4,sk0_5,sk0_6),sk0_7)) != insert_pq(i(triple(sk0_4,sk0_5,sk0_6)),sk0_7),
    inference(cnf_transformation,[status(esa)],[f232]) ).

fof(f2301,plain,
    ! [X0,X1,X2,X3,X4,X5] : i(triple(X0,insert_slb(X1,pair(X2,bottom)),X3)) = i(insert_cpq(triple(X4,X1,X5),X2)),
    inference(paramodulation,[status(thm)],[f167,f230]) ).

fof(f2302,plain,
    ! [X0,X1,X2,X3,X4,X5] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X4,X1,X5),X3)),
    inference(forward_demodulation,[status(thm)],[f194,f2301]) ).

fof(f2389,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f233,f2302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 : Tue May 30 12:06:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 3.33/0.82  % Refutation found
% 3.33/0.82  % SZS status Theorem for theBenchmark: Theorem is valid
% 3.33/0.82  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.33/0.83  % Elapsed time: 0.483608 seconds
% 3.33/0.83  % CPU time: 3.712556 seconds
% 3.33/0.83  % Memory used: 94.231 MB
%------------------------------------------------------------------------------