%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO088-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:24:02 PM UTC 2026
% Result : Unsatisfiable 58.09s 7.78s
% Output : CNFRefutation 58.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 75 ( 16 unt; 5 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 237 ( 103 ~; 129 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 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(f2,axiom,
! [A,B] :
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C,D] :
( part_of(D,C)
| part_of(C,D)
| ~ incident_c(A,D)
| ~ incident_c(A,C)
| ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( end_point(A,B)
| part_of(ax0_sk3(B,A),B)
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B] :
( end_point(A,B)
| part_of(ax0_sk4(B,A),B)
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] :
( end_point(A,B)
| incident_c(A,ax0_sk3(B,A))
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( end_point(A,B)
| incident_c(A,ax0_sk4(B,A))
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( end_point(A,B)
| ~ part_of(ax0_sk3(B,A),ax0_sk4(B,A))
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( end_point(A,B)
| ~ part_of(ax0_sk4(B,A),ax0_sk3(B,A))
| ~ incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
end_point(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
incident_c(sk16,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ end_point(sk16,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0,X1,X2] :
( incident_c(X0,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
! [C,D] :
( part_of(D,C)
| part_of(C,D)
| ! [A] :
( ~ incident_c(A,D)
| ~ incident_c(A,C)
| ! [B] :
( ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( part_of(X1,X0)
| ~ part_of(X0,X3)
| ~ end_point(X2,X3)
| ~ incident_c(X2,X1)
| ~ part_of(X1,X3)
| ~ incident_c(X2,X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ incident_c(X1,X0)
| end_point(X1,X0)
| part_of(ax0_sk3(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f73,plain,
! [X0,X1] :
( ~ incident_c(X1,X0)
| end_point(X1,X0)
| part_of(ax0_sk4(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f74,plain,
! [X0,X1] :
( end_point(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f75,plain,
! [X0,X1] :
( incident_c(X0,ax0_sk4(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f76,plain,
! [X0,X1] :
( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f77,plain,
! [X0,X1] :
( ~ incident_c(X1,X0)
| end_point(X1,X0)
| ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [A] :
( ! [B] : ~ end_point(B,A)
| ~ closed(A) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f93,plain,
! [X0,X1] :
( ~ closed(X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f117,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f118,plain,
end_point(sk16,sk14),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f119,plain,
incident_c(sk16,sk15),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f120,plain,
~ end_point(sk16,sk15),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ incident_c(X0,X2)
| ~ part_of(ax0_sk3(X1,X0),X3)
| part_of(X2,ax0_sk3(X1,X0))
| ~ end_point(X0,X3)
| end_point(X0,X1)
| part_of(ax0_sk3(X1,X0),X2)
| ~ part_of(X2,X3)
| ~ incident_c(X0,X1) ),
inference(resolution,[status(thm)],[f71,f74]) ).
fof(f147,plain,
~ closed(sk14),
inference(resolution,[status(thm)],[f118,f93]) ).
fof(f163,definition,
( sQ2_spl
<=> end_point(sk16,sk14) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ2_spl
| ~ end_point(sk16,sk14) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f167,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f118]) ).
fof(f168,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f172,plain,
! [X0,X1,X2] :
( part_of(X0,X1)
| ~ part_of(X0,X2)
| incident_c(ax0_sk1(X0,X1),X2) ),
inference(resolution,[status(thm)],[f55,f54]) ).
fof(f178,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[status(thm)],[f56,f55]) ).
fof(f179,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f178]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ part_of(X2,X0)
| part_of(X2,X3)
| incident_c(ax0_sk1(X2,X3),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[status(thm)],[f172,f54]) ).
fof(f205,definition,
( sQ4_spl
<=> end_point(sk16,sk15) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ4_spl
| end_point(sk16,sk15) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f265,plain,
! [X0,X1,X2] :
( part_of(X2,X1)
| ~ part_of(X2,X0)
| part_of(X2,X1)
| ~ part_of(X0,X1) ),
inference(resolution,[status(thm)],[f182,f56]) ).
fof(f269,plain,
! [X0,X1,X2] :
( ~ part_of(X2,X1)
| ~ part_of(X0,X2)
| part_of(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f265]) ).
fof(f288,plain,
! [X0] :
( part_of(X0,sk14)
| ~ part_of(X0,sk15) ),
inference(resolution,[status(thm)],[f269,f117]) ).
fof(f290,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| part_of(ax0_sk4(sk15,X0),sk14) ),
inference(resolution,[status(thm)],[f288,f73]) ).
fof(f291,plain,
! [X0] :
( end_point(X0,sk15)
| ~ incident_c(X0,sk15)
| part_of(ax0_sk3(sk15,X0),sk14) ),
inference(resolution,[status(thm)],[f288,f72]) ).
fof(f331,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f120]) ).
fof(f332,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f331]) ).
fof(f333,plain,
! [X0,X1] :
( ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| ~ incident_c(X0,X1)
| part_of(X1,ax0_sk3(sk15,X0))
| ~ end_point(X0,sk14)
| end_point(X0,sk15)
| part_of(ax0_sk3(sk15,X0),X1)
| ~ part_of(X1,sk14)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[f138,f291]) ).
fof(f336,plain,
! [X0,X1] :
( ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| part_of(X1,ax0_sk3(sk15,X0))
| part_of(ax0_sk3(sk15,X0),X1)
| ~ part_of(X1,sk14)
| ~ incident_c(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f333]) ).
fof(f421,definition,
( sQ18_spl
<=> closed(sk14) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ18_spl
| closed(sk14) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f447,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f147]) ).
fof(f448,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f458,definition,
( sQ21_spl
<=> part_of(sk14,sk14) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ21_spl
| ~ part_of(sk14,sk14) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f509,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f179]) ).
fof(f510,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f661,definition,
( sQ27_spl
<=> incident_c(sk16,sk15) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ27_spl
| ~ incident_c(sk16,sk15) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f683,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f119]) ).
fof(f684,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f1100,plain,
! [X0] :
( end_point(X0,sk15)
| ~ incident_c(X0,sk15)
| ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| part_of(ax0_sk4(sk15,X0),ax0_sk3(sk15,X0))
| ~ part_of(ax0_sk4(sk15,X0),sk14)
| ~ incident_c(X0,ax0_sk4(sk15,X0)) ),
inference(resolution,[status(thm)],[f336,f76]) ).
fof(f1108,plain,
! [X0] :
( ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| part_of(ax0_sk4(sk15,X0),ax0_sk3(sk15,X0))
| ~ part_of(ax0_sk4(sk15,X0),sk14)
| ~ incident_c(X0,ax0_sk4(sk15,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1100]) ).
fof(f1109,plain,
! [X0] :
( ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| ~ part_of(ax0_sk4(sk15,X0),sk14)
| part_of(ax0_sk4(sk15,X0),ax0_sk3(sk15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f75]) ).
fof(f1200,plain,
! [X0] :
( ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| ~ part_of(ax0_sk4(sk15,X0),sk14)
| end_point(X0,sk15) ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f77]) ).
fof(f1201,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| end_point(X0,sk15)
| ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15) ),
inference(resolution,[status(thm)],[f1200,f290]) ).
fof(f1202,plain,
! [X0] :
( ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15) ),
inference(duplicate_literals_removal,[status(thm)],[f1201]) ).
fof(f1231,plain,
( ~ end_point(sk16,sk14)
| end_point(sk16,sk15) ),
inference(resolution,[status(thm)],[f1202,f119]) ).
fof(f1232,plain,
( ~ sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1231,f205,f163]) ).
fof(f1239,plain,
$false,
inference(sat_refutation,[status(thm)],[f168,f332,f448,f510,f684,f1232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO088-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 10:29:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 58.09/7.78 % Refutation found
% 58.09/7.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 58.09/7.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.00/7.82 % Elapsed time: 7.448389 seconds
% 5.00/7.82 % CPU time: 58.826762 seconds
% 5.00/7.82 % Total memory used: 288.021 MB
% 5.00/7.82 % Net memory used: 256.114 MB
%------------------------------------------------------------------------------