TSTP Solution File: SYN083+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n011.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 : Tue Apr 30 20:51:17 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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,f(sk0_1,sk0_2)),sk0_3),
inference(backward_demodulation,[status(thm)],[f4,f7]) ).
fof(f10,plain,
f(sk0_0,f(sk0_1,f(sk0_2,sk0_3))) != f(sk0_0,f(f(sk0_1,sk0_2),sk0_3)),
inference(forward_demodulation,[status(thm)],[f4,f8]) ).
fof(f11,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,f10]) ).
fof(f12,plain,
$false,
inference(equality_resolution,[status(esa)],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:45:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.015090 seconds
% 0.14/0.37 % CPU time: 0.021351 seconds
% 0.14/0.37 % Total memory used: 2.026 MB
% 0.14/0.37 % Net memory used: 1.835 MB
%------------------------------------------------------------------------------