%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:24:12 PM UTC 2026
% Result : Theorem 0.11s 5.58s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 4 unt; 2 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 33 ~; 30 |; 10 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 52 !; 3 ?)
% 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/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A] :
( once(A)
=> once(at_the_same_time(A,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
=> ( once(B)
& once(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,P] :
( once(at(X,P))
<=> incident_o(P,trajectory_of(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(Y))
& incident_o(P,trajectory_of(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(Y))
& incident_o(P,trajectory_of(X)) ) ),
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(f209,plain,
! [A] :
( once(at_the_same_time(A,A))
| ~ once(A) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f210,plain,
! [X0] :
( once(at_the_same_time(X0,X0))
| ~ once(X0) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
! [A,B] :
( ( once(B)
& once(A) )
| ~ once(at_the_same_time(A,B)) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f212,plain,
! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f214,plain,
! [X,P] :
( ( ~ incident_o(P,trajectory_of(X))
| once(at(X,P)) )
& ( incident_o(P,trajectory_of(X))
| ~ once(at(X,P)) ) ),
inference(NNF_transformation,[status(thm)],[f33]) ).
fof(f215,plain,
( ! [X,P] :
( ~ incident_o(P,trajectory_of(X))
| once(at(X,P)) )
& ! [X,P] :
( incident_o(P,trajectory_of(X))
| ~ once(at(X,P)) ) ),
inference(miniscoping,[status(thm)],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f225,plain,
? [P,X,Y] :
( ( ~ incident_o(P,trajectory_of(Y))
| ~ incident_o(P,trajectory_of(X)) )
& connect(X,Y,P) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f226,plain,
( ( ~ incident_o(sK26_skl,trajectory_of(sK28_skl))
| ~ incident_o(sK26_skl,trajectory_of(sK27_skl)) )
& connect(sK27_skl,sK28_skl,sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl]),skolemize(P,sK26_skl),skolemize(X,sK27_skl),skolemize(Y,sK28_skl)],[f225]) ).
fof(f227,plain,
connect(sK27_skl,sK28_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( ~ incident_o(sK26_skl,trajectory_of(sK28_skl))
| ~ incident_o(sK26_skl,trajectory_of(sK27_skl)) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ0_spl
<=> incident_o(sK26_skl,trajectory_of(sK27_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ0_spl
| ~ incident_o(sK26_skl,trajectory_of(sK27_skl)) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ1_spl
<=> incident_o(sK26_skl,trajectory_of(sK28_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ1_spl
| ~ incident_o(sK26_skl,trajectory_of(sK28_skl)) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f228,f229,f232]) ).
fof(f251,plain,
! [X0,X1,X2] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at_the_same_time(at(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f212,f216]) ).
fof(f252,plain,
! [X0] :
( sQ0_spl
| ~ once(at_the_same_time(at(sK27_skl,sK26_skl),X0)) ),
inference(resolution,[status(thm)],[f251,f231]) ).
fof(f254,plain,
! [X0] :
( sQ0_spl
| ~ connect(sK27_skl,X0,sK26_skl) ),
inference(resolution,[status(thm)],[f252,f199]) ).
fof(f257,plain,
( sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f227,f254]) ).
fof(f259,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f260,plain,
! [X0] :
( sQ1_spl
| ~ once(at_the_same_time(at(sK28_skl,sK26_skl),X0)) ),
inference(resolution,[status(thm)],[f234,f251]) ).
fof(f264,plain,
( sQ1_spl
| ~ once(at(sK28_skl,sK26_skl)) ),
inference(resolution,[status(thm)],[f260,f210]) ).
fof(f268,plain,
! [X0,X1,X2] :
( ~ connect(X2,X0,X1)
| once(at(X0,X1)) ),
inference(resolution,[status(thm)],[f213,f199]) ).
fof(f313,plain,
! [X0] :
( sQ1_spl
| ~ connect(X0,sK28_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f268,f264]) ).
fof(f315,plain,
( sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f227,f313]) ).
fof(f317,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f318,plain,
$false,
inference(sat_refutation,[status(thm)],[f235,f259,f317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.54 % Computer : n019.cluster.edu
% 0.11/5.54 % Model : x86_64 x86_64
% 0.11/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.54 % Memory : 8046.5625MB
% 0.11/5.54 % OS : Linux 6.8.0-71-generic
% 0.11/5.54 % CPULimit : 300
% 0.11/5.54 % WCLimit : 300
% 0.11/5.54 % DateTime : Sun Sep 20 12:30:27 UTC 2026
% 0.11/5.54 % CPUTime :
% 0.11/5.56 % Drodi V4.1.1
% 0.11/5.58 % Refutation found
% 0.11/5.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.62 % Elapsed time: 0.059998 seconds
% 0.14/5.62 % CPU time: 0.173196 seconds
% 0.14/5.62 % Total memory used: 105.961 MB
% 0.14/5.62 % Net memory used: 105.809 MB
%------------------------------------------------------------------------------