%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO111-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:24:06 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.33s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 96 ( 24 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 90 ( 43 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( incident_c(A,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( incident_c(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [A,B,C,D] :
( B != D
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A,B,C,D] :
( part_of(ax1_sk1(D,C,B,A),A)
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B,C,D] :
( end_point(B,ax1_sk1(D,C,B,A))
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B,C,D] :
( end_point(D,ax1_sk1(D,C,B,A))
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B,C,D] :
( inner_point(C,ax1_sk1(D,C,B,A))
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( sk16 = sk18
| sk17 = sk18
| sk16 = sk17
| ~ incident_c(sk18,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk16,sk15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f58,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f73,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f82,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f121,plain,
! [B,D] :
( B != D
| ! [A,C] : ~ between_c(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( part_of(ax1_sk1(X3,X2,X1,X0),X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f129,plain,
between_c(sk15,sk16,sk17,sk18),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f130,plain,
( sk16 = sk18
| sk17 = sk18
| sk16 = sk17
| ~ incident_c(sk18,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk16,sk15) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f131,plain,
! [X0,X1,X2] : ~ between_c(X0,X1,X2,X1),
inference(destructive_equality_resolution,[status(thm)],[f122]) ).
fof(f390,plain,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference(resolution,[status(thm)],[f123,f129]) ).
fof(f394,plain,
! [X0] :
( incident_c(X0,sk15)
| ~ incident_c(X0,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(resolution,[status(thm)],[f390,f58]) ).
fof(f396,plain,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f124,f129]) ).
fof(f405,plain,
~ inner_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f396,f83]) ).
fof(f406,plain,
incident_c(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f396,f73]) ).
fof(f419,plain,
incident_c(sk16,sk15),
inference(resolution,[status(thm)],[f394,f406]) ).
fof(f432,plain,
( sk16 = sk18
| sk17 = sk18
| sk16 = sk17
| ~ incident_c(sk18,sk15)
| ~ incident_c(sk17,sk15) ),
inference(backward_subsumption_resolution,[status(thm)],[f130,f419]) ).
fof(f557,plain,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f125,f129]) ).
fof(f567,plain,
~ inner_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f557,f83]) ).
fof(f568,plain,
incident_c(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f557,f73]) ).
fof(f571,plain,
incident_c(sk18,sk15),
inference(resolution,[status(thm)],[f568,f394]) ).
fof(f580,plain,
( sk16 = sk18
| sk17 = sk18
| sk16 = sk17
| ~ incident_c(sk17,sk15) ),
inference(backward_subsumption_resolution,[status(thm)],[f432,f571]) ).
fof(f780,plain,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f126,f129]) ).
fof(f787,plain,
incident_c(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[status(thm)],[f780,f82]) ).
fof(f790,plain,
incident_c(sk17,sk15),
inference(resolution,[status(thm)],[f787,f394]) ).
fof(f801,plain,
( sk16 = sk18
| sk17 = sk18
| sk16 = sk17 ),
inference(backward_subsumption_resolution,[status(thm)],[f580,f790]) ).
fof(f873,plain,
( sk16 = sk18
| sk17 = sk18
| ~ inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(paramodulation,[status(thm)],[f801,f405]) ).
fof(f881,plain,
( sk16 = sk18
| sk17 = sk18 ),
inference(forward_subsumption_resolution,[status(thm)],[f873,f780]) ).
fof(f914,plain,
( sk17 = sk18
| between_c(sk15,sk18,sk17,sk18) ),
inference(paramodulation,[status(thm)],[f881,f129]) ).
fof(f915,plain,
sk17 = sk18,
inference(forward_subsumption_resolution,[status(thm)],[f914,f131]) ).
fof(f924,plain,
inner_point(sk17,ax1_sk1(sk18,sk18,sk16,sk15)),
inference(backward_demodulation,[status(thm)],[f915,f780]) ).
fof(f928,plain,
~ inner_point(sk18,ax1_sk1(sk18,sk18,sk16,sk15)),
inference(backward_demodulation,[status(thm)],[f915,f567]) ).
fof(f941,plain,
inner_point(sk18,ax1_sk1(sk18,sk18,sk16,sk15)),
inference(forward_demodulation,[status(thm)],[f915,f924]) ).
fof(f984,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f928,f941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO111-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 11:26:07 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.08/0.33 % Refutation found
% 0.08/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.34 % Elapsed time: 0.047110 seconds
% 0.08/0.34 % CPU time: 0.165154 seconds
% 0.08/0.34 % Total memory used: 84.650 MB
% 0.08/0.34 % Net memory used: 84.228 MB
%------------------------------------------------------------------------------