%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:24:01 PM UTC 2026
% Result : Unsatisfiable 5.02s 1.14s
% Output : CNFRefutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 74 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 37 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 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(f4,axiom,
! [A,B,C,D] :
( incident_c(D,C)
| incident_c(D,B)
| ~ incident_c(D,A)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( incident_c(D,A)
| ~ incident_c(D,B)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] :
( incident_c(D,A)
| ~ incident_c(D,C)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
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(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(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] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
! [C,D] :
( incident_c(D,C)
| ! [B] :
( incident_c(D,B)
| ! [A] :
( ~ incident_c(D,A)
| A != sum(B,C) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [A,D] :
( incident_c(D,A)
| ! [B] :
( ~ incident_c(D,B)
| ! [C] : A != sum(B,C) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [A,D] :
( incident_c(D,A)
| ! [C] :
( ~ incident_c(D,C)
| ! [B] : A != sum(B,C) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X2)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f117,plain,
part_of(sk15,sk16),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f120,plain,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f121,plain,
! [X0,X1,X2] :
( incident_c(X0,X2)
| incident_c(X0,X1)
| ~ incident_c(X0,sum(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f58]) ).
fof(f122,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f60]) ).
fof(f123,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X2,X1))
| ~ incident_c(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f62]) ).
fof(f125,plain,
! [X0] :
( incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[f54,f117]) ).
fof(f128,plain,
! [X0,X1,X2] :
( incident_c(ax0_sk1(sum(X0,X1),X2),X1)
| incident_c(ax0_sk1(sum(X0,X1),X2),X0)
| part_of(sum(X0,X1),X2) ),
inference(resolution,[status(thm)],[f55,f121]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[status(thm)],[f56,f123]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[status(thm)],[f56,f122]) ).
fof(f361,plain,
( incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15)
| incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14) ),
inference(resolution,[status(thm)],[f128,f120]) ).
fof(f559,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
inference(resolution,[status(thm)],[f130,f120]) ).
fof(f573,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
inference(resolution,[status(thm)],[f559,f125]) ).
fof(f576,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
inference(backward_subsumption_resolution,[status(thm)],[f361,f573]) ).
fof(f577,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
inference(resolution,[status(thm)],[f131,f120]) ).
fof(f587,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f577,f576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n010.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 10:15:09 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 5.02/1.14 % Refutation found
% 5.02/1.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.02/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.02/1.17 % Elapsed time: 0.730349 seconds
% 5.02/1.17 % CPU time: 5.397090 seconds
% 5.02/1.17 % Total memory used: 112.941 MB
% 5.02/1.17 % Net memory used: 108.390 MB
%------------------------------------------------------------------------------