TSTP Solution File: SWV388+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 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 20:46:54 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 14 ~; 4 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
| ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
| ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f146,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
? [U,V,W] :
( ~ check_cpq(triple(U,V,W))
& check_cpq(findmin_cpq_eff(triple(U,V,W)))
& ok(findmin_cpq_eff(triple(U,V,W))) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f148,plain,
( ~ check_cpq(triple(sk0_0,sk0_1,sk0_2))
& check_cpq(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2)))
& ok(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))) ),
inference(skolemization,[status(esa)],[f147]) ).
fof(f149,plain,
~ check_cpq(triple(sk0_0,sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
check_cpq(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f154,plain,
check_cpq(triple(sk0_0,sk0_1,sk0_2)),
inference(resolution,[status(thm)],[f146,f150]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f154,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n011.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:42:01 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.021534 seconds
% 0.13/0.37 % CPU time: 0.029412 seconds
% 0.13/0.37 % Total memory used: 12.999 MB
% 0.13/0.37 % Net memory used: 12.947 MB
%------------------------------------------------------------------------------