%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 7 unt; 2 def)
% Number of atoms : 69 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [A,B,C] :
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [A] :
( once(at_the_same_time(A,A))
| ~ once(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [A,B] :
( once(A)
| ~ once(at_the_same_time(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [A,B] :
( once(B)
| ~ once(at_the_same_time(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [A,B] :
( incident_o(B,trajectory_of(A))
| ~ once(at(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [A] : trajectory_of(A) = ax3_sk1(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk29))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f241,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f247,plain,
! [X0] :
( once(at_the_same_time(X0,X0))
| ~ once(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f248,plain,
! [A] :
( once(A)
| ! [B] : ~ once(at_the_same_time(A,B)) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f249,plain,
! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
! [B] :
( once(B)
| ! [A] : ~ once(at_the_same_time(A,B)) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f251,plain,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f254,plain,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f259,plain,
connect(sk28,sk29,sk27),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f260,plain,
( ~ incident_o(sk27,trajectory_of(sk29))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f261,definition,
( sQ0_spl
<=> incident_o(sk27,trajectory_of(sk28)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ0_spl
| ~ incident_o(sk27,trajectory_of(sk28)) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ1_spl
<=> incident_o(sk27,trajectory_of(sk29)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ1_spl
| ~ incident_o(sk27,trajectory_of(sk29)) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f260,f261,f264]) ).
fof(f275,plain,
( sQ0_spl
| ~ incident_o(sk27,ax3_sk1(sk28)) ),
inference(backward_demodulation,[status(thm)],[f254,f263]) ).
fof(f278,plain,
! [X0,X1] :
( incident_o(X1,ax3_sk1(X0))
| ~ once(at(X0,X1)) ),
inference(backward_demodulation,[status(thm)],[f254,f252]) ).
fof(f287,plain,
! [X0,X1,X2] :
( incident_o(X1,ax3_sk1(X0))
| ~ once(at_the_same_time(at(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f249,f278]) ).
fof(f288,plain,
! [X0] :
( sQ0_spl
| ~ once(at_the_same_time(at(sk28,sk27),X0)) ),
inference(resolution,[status(thm)],[f287,f275]) ).
fof(f289,plain,
! [X0] :
( sQ0_spl
| ~ connect(sk28,X0,sk27) ),
inference(resolution,[status(thm)],[f288,f241]) ).
fof(f292,plain,
( sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f289]) ).
fof(f294,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ1_spl
| ~ incident_o(sk27,ax3_sk1(sk29)) ),
inference(forward_demodulation,[status(thm)],[f254,f266]) ).
fof(f297,plain,
! [X0] :
( sQ1_spl
| ~ once(at_the_same_time(at(sk29,sk27),X0)) ),
inference(resolution,[status(thm)],[f295,f287]) ).
fof(f299,plain,
( sQ1_spl
| ~ once(at(sk29,sk27)) ),
inference(resolution,[status(thm)],[f297,f247]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ~ connect(X2,X0,X1)
| once(at(X0,X1)) ),
inference(resolution,[status(thm)],[f251,f241]) ).
fof(f323,plain,
! [X0] :
( sQ1_spl
| ~ connect(X0,sk29,sk27) ),
inference(resolution,[status(thm)],[f304,f299]) ).
fof(f325,plain,
( sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f323]) ).
fof(f327,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f325]) ).
fof(f328,plain,
$false,
inference(sat_refutation,[status(thm)],[f267,f294,f327]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 12:40:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.049492 seconds
% 0.13/0.42 % CPU time: 0.105754 seconds
% 0.13/0.42 % Total memory used: 13.343 MB
% 0.13/0.42 % Net memory used: 13.332 MB
%------------------------------------------------------------------------------