TSTP Solution File: SYN061+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:45:50 EDT 2023
% Result : Theorem 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 9 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 (; 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ ? [X] :
( big_f(X)
& ( big_g(X)
| big_h(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
? [X] :
( big_i(X)
& big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( ~ big_h(X)
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
? [X] :
( big_i(X)
& big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ? [X] :
( big_i(X)
& big_j(X) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X] :
( ~ big_f(X)
| ( ~ big_g(X)
& ~ big_h(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
( big_i(sk0_0)
& big_f(sk0_0) ),
inference(skolemization,[status(esa)],[f2]) ).
fof(f10,plain,
big_i(sk0_0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
big_f(sk0_0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f12,plain,
! [X] :
( big_h(X)
| big_j(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0] :
( big_h(X0)
| big_j(X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
! [X] :
( ~ big_i(X)
| ~ big_j(X) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ big_f(X0)
| big_j(X0) ),
inference(resolution,[status(thm)],[f8,f13]) ).
fof(f17,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_i(X0) ),
inference(resolution,[status(thm)],[f16,f15]) ).
fof(f18,plain,
~ big_f(sk0_0),
inference(resolution,[status(thm)],[f17,f10]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n015.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:41:04 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.006887 seconds
% 0.11/0.49 % CPU time: 0.018454 seconds
% 0.11/0.49 % Memory used: 1.809 MB
%------------------------------------------------------------------------------