%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:11 PM UTC 2026
% Result : Theorem 0.18s 0.56s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 19 |; 6 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f197,plain,
! [X,Y,P] :
( ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f198,plain,
( ! [X,Y,P] :
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ! [X,Y,P] :
( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ once(at_the_same_time(at(X0,X2),at(X1,X2)))
| connect(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f201,plain,
! [A,B] :
( ( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) )
& ( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f202,plain,
( ! [A,B] :
( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) )
& ! [A,B] :
( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ) ),
inference(miniscoping,[status(thm)],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f225,plain,
? [X,Y,P] :
( connect(X,Y,P)
<~> connect(Y,X,P) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f226,plain,
? [X,Y,P] :
( ( ~ connect(Y,X,P)
| ~ connect(X,Y,P) )
& ( connect(Y,X,P)
| connect(X,Y,P) ) ),
inference(NNF_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( ( ~ connect(sK27_skl,sK26_skl,sK28_skl)
| ~ connect(sK26_skl,sK27_skl,sK28_skl) )
& ( connect(sK27_skl,sK26_skl,sK28_skl)
| connect(sK26_skl,sK27_skl,sK28_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl]),skolemize(X,sK26_skl),skolemize(Y,sK27_skl),skolemize(P,sK28_skl)],[f226]) ).
fof(f228,plain,
( connect(sK27_skl,sK26_skl,sK28_skl)
| connect(sK26_skl,sK27_skl,sK28_skl) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( ~ connect(sK27_skl,sK26_skl,sK28_skl)
| ~ connect(sK26_skl,sK27_skl,sK28_skl) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ~ connect(X2,X0,X1)
| once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
inference(resolution,[status(thm)],[f203,f199]) ).
fof(f312,plain,
! [X0,X1,X2] :
( connect(X1,X0,X2)
| ~ connect(X0,X1,X2) ),
inference(resolution,[status(thm)],[f303,f200]) ).
fof(f316,plain,
connect(sK26_skl,sK27_skl,sK28_skl),
inference(backward_subsumption_resolution,[status(thm)],[f228,f312]) ).
fof(f317,plain,
~ connect(sK27_skl,sK26_skl,sK28_skl),
inference(backward_subsumption_resolution,[status(thm)],[f229,f312]) ).
fof(f318,plain,
~ connect(sK26_skl,sK27_skl,sK28_skl),
inference(resolution,[status(thm)],[f317,f312]) ).
fof(f319,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f318,f316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO146+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n011.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 12:26:10 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.18/0.56 % Refutation found
% 0.18/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.60 % Elapsed time: 0.121344 seconds
% 0.23/0.60 % CPU time: 0.202911 seconds
% 0.23/0.60 % Total memory used: 44.234 MB
% 0.23/0.60 % Net memory used: 44.085 MB
%------------------------------------------------------------------------------