%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO084-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:25:44 PM UTC 2026
% Result : Unsatisfiable 8.78s 1.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO084-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 10:16:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 8.78/1.57 % Refutation found
% 8.78/1.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.78/1.57 % SZS output start CNFRefutation for theBenchmark
% 8.78/1.57 fof(f1,axiom,(
% 8.78/1.57 (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f2,axiom,(
% 8.78/1.57 (![A,B]: (( incident_c(ax0_sk1(A,B),A)| part_of(A,B) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f3,axiom,(
% 8.78/1.57 (![A,B]: (( ~ incident_c(ax0_sk1(A,B),B)| part_of(A,B) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f4,axiom,(
% 8.78/1.57 (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,A)| incident_c(D,B)| incident_c(D,C) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f6,axiom,(
% 8.78/1.57 (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,C)| incident_c(D,A) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f7,axiom,(
% 8.78/1.57 (![A,B,C]: (( incident_c(ax0_sk2(A,B,C),C)| incident_c(ax0_sk2(A,B,C),B)| incident_c(ax0_sk2(A,B,C),A)| C = sum(B,A) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f11,axiom,(
% 8.78/1.57 (![A,B,C]: (( ~ incident_c(ax0_sk2(A,B,C),B)| ~ incident_c(ax0_sk2(A,B,C),C)| C = sum(B,A) ) ))),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f49,negated_conjecture,(
% 8.78/1.57 part_of(sk14,sk16) ),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f50,negated_conjecture,(
% 8.78/1.57 part_of(sk15,sk16) ),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f52,negated_conjecture,(
% 8.78/1.57 ~ part_of(sum(sk14,sk15),sk16) ),
% 8.78/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.57 fof(f53,plain,(
% 8.78/1.57 ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 8.78/1.57 inference(miniscoping,[status(thm)],[f1])).
% 8.78/1.57 fof(f54,plain,(
% 8.78/1.57 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f53])).
% 8.78/1.57 fof(f55,plain,(
% 8.78/1.57 ![X0,X1]: (incident_c(ax0_sk1(X0,X1),X0)|part_of(X0,X1))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f2])).
% 8.78/1.57 fof(f56,plain,(
% 8.78/1.57 ![X0,X1]: (~incident_c(ax0_sk1(X0,X1),X1)|part_of(X0,X1))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f3])).
% 8.78/1.57 fof(f57,plain,(
% 8.78/1.57 ![C,D]: ((![B]: ((![A]: (~A=sum(B,C)|~incident_c(D,A)))|incident_c(D,B)))|incident_c(D,C))),
% 8.78/1.57 inference(miniscoping,[status(thm)],[f4])).
% 8.78/1.57 fof(f58,plain,(
% 8.78/1.57 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f57])).
% 8.78/1.57 fof(f61,plain,(
% 8.78/1.57 ![A,D]: ((![C]: ((![B]: ~A=sum(B,C))|~incident_c(D,C)))|incident_c(D,A))),
% 8.78/1.57 inference(miniscoping,[status(thm)],[f6])).
% 8.78/1.57 fof(f62,plain,(
% 8.78/1.57 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X2)|incident_c(X3,X0))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f61])).
% 8.78/1.57 fof(f63,plain,(
% 8.78/1.57 ![X0,X1,X2]: (incident_c(ax0_sk2(X0,X1,X2),X2)|incident_c(ax0_sk2(X0,X1,X2),X1)|incident_c(ax0_sk2(X0,X1,X2),X0)|X2=sum(X1,X0))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f7])).
% 8.78/1.57 fof(f67,plain,(
% 8.78/1.57 ![X0,X1,X2]: (~incident_c(ax0_sk2(X0,X1,X2),X1)|~incident_c(ax0_sk2(X0,X1,X2),X2)|X2=sum(X1,X0))),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f11])).
% 8.78/1.57 fof(f117,plain,(
% 8.78/1.57 part_of(sk14,sk16)),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f49])).
% 8.78/1.57 fof(f118,plain,(
% 8.78/1.57 part_of(sk15,sk16)),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f50])).
% 8.78/1.57 fof(f120,plain,(
% 8.78/1.57 ~part_of(sum(sk14,sk15),sk16)),
% 8.78/1.57 inference(cnf_transformation,[status(thm)],[f52])).
% 8.78/1.57 fof(f121,plain,(
% 8.78/1.57 ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 8.78/1.57 inference(destructive_equality_resolution,[status(thm)],[f58])).
% 8.78/1.57 fof(f123,plain,(
% 8.78/1.57 ![X0,X1,X2]: (~incident_c(X0,X1)|incident_c(X0,sum(X2,X1)))),
% 8.78/1.57 inference(destructive_equality_resolution,[status(thm)],[f62])).
% 8.78/1.57 fof(f141,plain,(
% 8.78/1.57 ![X0]: (incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0))),
% 8.78/1.57 inference(factoring,[status(thm)],[f63])).
% 8.78/1.57 fof(f142,plain,(
% 8.78/1.57 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0)|X0=sum(X0,X0))),
% 8.78/1.57 inference(resolution,[status(thm)],[f67,f63])).
% 8.78/1.57 fof(f151,plain,(
% 8.78/1.57 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0))),
% 8.78/1.57 inference(duplicate_literals_removal,[status(thm)],[f142])).
% 8.78/1.59 fof(f155,plain,(
% 8.78/1.59 ![X0]: (X0=sum(X0,X0))),
% 8.78/1.59 inference(forward_subsumption_resolution,[status(thm)],[f151,f141])).
% 8.78/1.59 fof(f189,plain,(
% 8.78/1.59 ![X0,X1,X2]: (part_of(sum(X0,X1),X2)|incident_c(ax0_sk1(sum(X0,X1),X2),X0)|incident_c(ax0_sk1(sum(X0,X1),X2),X1))),
% 8.78/1.59 inference(resolution,[status(thm)],[f55,f121])).
% 8.78/1.59 fof(f191,plain,(
% 8.78/1.59 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(ax0_sk1(X0,sum(X1,X2)),X2))),
% 8.78/1.59 inference(resolution,[status(thm)],[f56,f123])).
% 8.78/1.59 fof(f248,plain,(
% 8.78/1.59 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~incident_c(ax0_sk1(X0,sum(X1,X2)),X3))),
% 8.78/1.59 inference(resolution,[status(thm)],[f191,f54])).
% 8.78/1.59 fof(f267,plain,(
% 8.78/1.59 ![X0,X1]: (part_of(X0,sum(X1,sk16))|~incident_c(ax0_sk1(X0,sum(X1,sk16)),sk15))),
% 8.78/1.59 inference(resolution,[status(thm)],[f248,f118])).
% 8.78/1.59 fof(f268,plain,(
% 8.78/1.59 ![X0,X1]: (part_of(X0,sum(X1,sk16))|~incident_c(ax0_sk1(X0,sum(X1,sk16)),sk14))),
% 8.78/1.59 inference(resolution,[status(thm)],[f248,f117])).
% 8.78/1.59 fof(f2519,plain,(
% 8.78/1.59 ![X0,X1]: (part_of(sum(sk14,X0),sum(X1,sk16))|incident_c(ax0_sk1(sum(sk14,X0),sum(X1,sk16)),X0)|part_of(sum(sk14,X0),sum(X1,sk16)))),
% 8.78/1.59 inference(resolution,[status(thm)],[f189,f268])).
% 8.78/1.59 fof(f2574,plain,(
% 8.78/1.59 ![X0,X1]: (part_of(sum(sk14,X0),sum(X1,sk16))|incident_c(ax0_sk1(sum(sk14,X0),sum(X1,sk16)),X0))),
% 8.78/1.59 inference(duplicate_literals_removal,[status(thm)],[f2519])).
% 8.78/1.59 fof(f2650,plain,(
% 8.78/1.59 ![X0]: (part_of(sum(sk14,sk15),sum(X0,sk16))|part_of(sum(sk14,sk15),sum(X0,sk16)))),
% 8.78/1.59 inference(resolution,[status(thm)],[f2574,f267])).
% 8.78/1.59 fof(f2668,plain,(
% 8.78/1.59 ![X0]: (part_of(sum(sk14,sk15),sum(X0,sk16)))),
% 8.78/1.59 inference(duplicate_literals_removal,[status(thm)],[f2650])).
% 8.78/1.59 fof(f2695,plain,(
% 8.78/1.59 part_of(sum(sk14,sk15),sk16)),
% 8.78/1.59 inference(paramodulation,[status(thm)],[f155,f2668])).
% 8.78/1.59 fof(f2696,plain,(
% 8.78/1.59 $false),
% 8.78/1.59 inference(forward_subsumption_resolution,[status(thm)],[f2695,f120])).
% 8.78/1.59 % SZS output end CNFRefutation for theBenchmark.p
% 8.78/1.60 % Elapsed time: 1.230322 seconds
% 8.78/1.60 % CPU time: 9.472505 seconds
% 8.78/1.60 % Total memory used: 139.747 MB
% 8.78/1.60 % Net memory used: 131.177 MB
%------------------------------------------------------------------------------