TSTP Solution File: SYN083+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:45:57 EDT 2023
% Result : Theorem 0.09s 0.33s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 (; 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f6,plain,
f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(f(sk0_0,sk0_1),sk0_2),sk0_3),
inference(skolemization,[status(esa)],[f5]) ).
fof(f7,plain,
f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(f(sk0_0,sk0_1),sk0_2),sk0_3),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(f(sk0_0,sk0_1),f(sk0_2,sk0_3)),
inference(forward_demodulation,[status(thm)],[f4,f7]) ).
fof(f9,plain,
f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))),
inference(forward_demodulation,[status(thm)],[f4,f8]) ).
fof(f10,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n018.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 10:38:25 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.024615 seconds
% 0.15/0.56 % CPU time: 0.010040 seconds
% 0.15/0.56 % Memory used: 166.494 KB
%------------------------------------------------------------------------------