%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO093-1 : 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 : n011.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 12:25:45 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO093-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n011.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 20 10:44:09 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.61 % Refutation found
% 0.17/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.61 fof(f1,axiom,(
% 0.17/0.61 (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f2,axiom,(
% 0.17/0.61 (![A,B]: (( incident_c(ax0_sk1(A,B),A)| part_of(A,B) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f3,axiom,(
% 0.17/0.61 (![A,B]: (( ~ incident_c(ax0_sk1(A,B),B)| part_of(A,B) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f4,axiom,(
% 0.17/0.61 (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,A)| incident_c(D,B)| incident_c(D,C) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f5,axiom,(
% 0.17/0.61 (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,B)| incident_c(D,A) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f6,axiom,(
% 0.17/0.61 (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,C)| incident_c(D,A) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f7,axiom,(
% 0.17/0.61 (![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) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f11,axiom,(
% 0.17/0.61 (![A,B,C]: (( ~ incident_c(ax0_sk2(A,B,C),B)| ~ incident_c(ax0_sk2(A,B,C),C)| C = sum(B,A) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f35,axiom,(
% 0.17/0.61 (![A,B]: (( ~ part_of(A,B)| A = B| open(A) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f44,axiom,(
% 0.17/0.61 (![A,B,C]: (( ~ meet(A,B,C)| ax0_sk12(C,B) = sum(B,C) ) ))),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f49,negated_conjecture,(
% 0.17/0.61 open(sk14) ),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f50,negated_conjecture,(
% 0.17/0.61 part_of(sk15,sk14) ),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f51,negated_conjecture,(
% 0.17/0.61 part_of(sk16,sk14) ),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f52,negated_conjecture,(
% 0.17/0.61 meet(sk17,sk15,sk16) ),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f53,negated_conjecture,(
% 0.17/0.61 ~ open(sum(sk15,sk16)) ),
% 0.17/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.61 fof(f54,plain,(
% 0.17/0.61 ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f1])).
% 0.17/0.61 fof(f55,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f54])).
% 0.17/0.61 fof(f56,plain,(
% 0.17/0.61 ![X0,X1]: (incident_c(ax0_sk1(X0,X1),X0)|part_of(X0,X1))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.61 fof(f57,plain,(
% 0.17/0.61 ![X0,X1]: (~incident_c(ax0_sk1(X0,X1),X1)|part_of(X0,X1))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.61 fof(f58,plain,(
% 0.17/0.61 ![C,D]: ((![B]: ((![A]: (~A=sum(B,C)|~incident_c(D,A)))|incident_c(D,B)))|incident_c(D,C))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f4])).
% 0.17/0.61 fof(f59,plain,(
% 0.17/0.61 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.61 fof(f60,plain,(
% 0.17/0.61 ![A,D]: ((![B]: ((![C]: ~A=sum(B,C))|~incident_c(D,B)))|incident_c(D,A))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f5])).
% 0.17/0.61 fof(f61,plain,(
% 0.17/0.61 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X1)|incident_c(X3,X0))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f60])).
% 0.17/0.61 fof(f62,plain,(
% 0.17/0.61 ![A,D]: ((![C]: ((![B]: ~A=sum(B,C))|~incident_c(D,C)))|incident_c(D,A))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f6])).
% 0.17/0.61 fof(f63,plain,(
% 0.17/0.61 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X2)|incident_c(X3,X0))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f62])).
% 0.17/0.61 fof(f64,plain,(
% 0.17/0.61 ![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))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.61 fof(f68,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(ax0_sk2(X0,X1,X2),X1)|~incident_c(ax0_sk2(X0,X1,X2),X2)|X2=sum(X1,X0))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.61 fof(f99,plain,(
% 0.17/0.61 ![A]: ((![B]: (~part_of(A,B)|A=B))|open(A))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f35])).
% 0.17/0.61 fof(f100,plain,(
% 0.17/0.61 ![X0,X1]: (~part_of(X0,X1)|X0=X1|open(X0))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f99])).
% 0.17/0.61 fof(f112,plain,(
% 0.17/0.61 ![B,C]: ((![A]: ~meet(A,B,C))|ax0_sk12(C,B)=sum(B,C))),
% 0.17/0.61 inference(miniscoping,[status(thm)],[f44])).
% 0.17/0.61 fof(f113,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~meet(X0,X1,X2)|ax0_sk12(X2,X1)=sum(X1,X2))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f112])).
% 0.17/0.61 fof(f118,plain,(
% 0.17/0.61 open(sk14)),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.61 fof(f119,plain,(
% 0.17/0.61 part_of(sk15,sk14)),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f50])).
% 0.17/0.61 fof(f120,plain,(
% 0.17/0.61 part_of(sk16,sk14)),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f51])).
% 0.17/0.61 fof(f121,plain,(
% 0.17/0.61 meet(sk17,sk15,sk16)),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f52])).
% 0.17/0.61 fof(f122,plain,(
% 0.17/0.61 ~open(sum(sk15,sk16))),
% 0.17/0.61 inference(cnf_transformation,[status(thm)],[f53])).
% 0.17/0.61 fof(f123,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 0.17/0.61 inference(destructive_equality_resolution,[status(thm)],[f59])).
% 0.17/0.61 fof(f124,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(X0,X1)|incident_c(X0,sum(X1,X2)))),
% 0.17/0.61 inference(destructive_equality_resolution,[status(thm)],[f61])).
% 0.17/0.61 fof(f125,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(X0,X1)|incident_c(X0,sum(X2,X1)))),
% 0.17/0.61 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.17/0.61 fof(f131,plain,(
% 0.17/0.61 ![X0,X1,X2,X3]: (incident_c(X0,X1)|incident_c(X0,X2)|~part_of(X3,sum(X1,X2))|~incident_c(X0,X3))),
% 0.17/0.61 inference(resolution,[status(thm)],[f123,f55])).
% 0.17/0.61 fof(f143,plain,(
% 0.17/0.61 ![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))),
% 0.17/0.61 inference(resolution,[status(thm)],[f56,f123])).
% 0.17/0.61 fof(f146,plain,(
% 0.17/0.61 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~incident_c(ax0_sk1(X0,X1),X2))),
% 0.17/0.61 inference(resolution,[status(thm)],[f57,f55])).
% 0.17/0.61 fof(f148,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(ax0_sk1(X0,sum(X1,X2)),X1)|part_of(X0,sum(X1,X2)))),
% 0.17/0.61 inference(resolution,[status(thm)],[f124,f57])).
% 0.17/0.61 fof(f150,plain,(
% 0.17/0.61 ![X0,X1,X2]: (~incident_c(ax0_sk1(X0,sum(X1,X2)),X2)|part_of(X0,sum(X1,X2)))),
% 0.17/0.61 inference(resolution,[status(thm)],[f125,f57])).
% 0.17/0.61 fof(f153,plain,(
% 0.17/0.61 ![X0]: (part_of(X0,sk14)|~incident_c(ax0_sk1(X0,sk14),sk16))),
% 0.17/0.61 inference(resolution,[status(thm)],[f146,f120])).
% 0.17/0.61 fof(f154,plain,(
% 0.17/0.61 ![X0]: (part_of(X0,sk14)|~incident_c(ax0_sk1(X0,sk14),sk15))),
% 0.17/0.61 inference(resolution,[status(thm)],[f146,f119])).
% 0.17/0.61 fof(f185,plain,(
% 0.17/0.61 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0)|X0=sum(X0,X0))),
% 0.17/0.61 inference(resolution,[status(thm)],[f68,f64])).
% 0.17/0.61 fof(f195,plain,(
% 0.17/0.61 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0))),
% 0.17/0.61 inference(duplicate_literals_removal,[status(thm)],[f185])).
% 0.17/0.61 fof(f264,plain,(
% 0.17/0.61 ![X0]: (X0=sum(X0,X0)|X0=sum(X0,X0))),
% 0.17/0.61 inference(resolution,[status(thm)],[f195,f64])).
% 0.17/0.61 fof(f280,plain,(
% 0.17/0.61 ![X0]: (X0=sum(X0,X0))),
% 0.17/0.61 inference(duplicate_literals_removal,[status(thm)],[f264])).
% 0.17/0.61 fof(f428,plain,(
% 0.17/0.61 ![X0]: (part_of(sum(sk15,X0),sk14)|incident_c(ax0_sk1(sum(sk15,X0),sk14),X0)|part_of(sum(sk15,X0),sk14))),
% 0.17/0.61 inference(resolution,[status(thm)],[f143,f154])).
% 0.17/0.61 fof(f459,plain,(
% 0.17/0.61 ![X0]: (part_of(sum(sk15,X0),sk14)|incident_c(ax0_sk1(sum(sk15,X0),sk14),X0))),
% 0.17/0.61 inference(duplicate_literals_removal,[status(thm)],[f428])).
% 0.17/0.61 fof(f514,plain,(
% 0.17/0.61 ax0_sk12(sk16,sk15)=sum(sk15,sk16)),
% 0.17/0.61 inference(resolution,[status(thm)],[f113,f121])).
% 0.17/0.61 fof(f515,plain,(
% 0.17/0.61 ~open(ax0_sk12(sk16,sk15))),
% 0.17/0.61 inference(backward_demodulation,[status(thm)],[f514,f122])).
% 0.17/0.61 fof(f518,plain,(
% 0.17/0.61 ![X0,X1]: (incident_c(X0,sk15)|incident_c(X0,sk16)|~part_of(X1,ax0_sk12(sk16,sk15))|~incident_c(X0,X1))),
% 0.17/0.61 inference(paramodulation,[status(thm)],[f514,f131])).
% 0.17/0.61 fof(f589,plain,(
% 0.17/0.61 ![X0,X1]: (part_of(sum(X0,X0),sum(X0,X1))|part_of(sum(X0,X0),sum(X0,X1)))),
% 0.17/0.61 inference(resolution,[status(thm)],[f148,f143])).
% 0.17/0.61 fof(f602,plain,(
% 0.17/0.61 ![X0,X1]: (part_of(X0,sum(X0,X1))|part_of(sum(X0,X0),sum(X0,X1)))),
% 0.17/0.61 inference(forward_demodulation,[status(thm)],[f280,f589])).
% 0.17/0.61 fof(f603,plain,(
% 0.17/0.61 ![X0,X1]: (part_of(X0,sum(X0,X1))|part_of(X0,sum(X0,X1)))),
% 0.17/0.61 inference(forward_demodulation,[status(thm)],[f280,f602])).
% 0.17/0.63 fof(f604,plain,(
% 0.17/0.63 ![X0,X1]: (part_of(X0,sum(X0,X1)))),
% 0.17/0.63 inference(duplicate_literals_removal,[status(thm)],[f603])).
% 0.17/0.63 fof(f613,plain,(
% 0.17/0.63 ![X0,X1]: (part_of(sum(X0,X0),sum(X1,X0))|part_of(sum(X0,X0),sum(X1,X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f150,f143])).
% 0.17/0.63 fof(f626,plain,(
% 0.17/0.63 ![X0,X1]: (part_of(X0,sum(X1,X0))|part_of(sum(X0,X0),sum(X1,X0)))),
% 0.17/0.63 inference(forward_demodulation,[status(thm)],[f280,f613])).
% 0.17/0.63 fof(f627,plain,(
% 0.17/0.63 ![X0,X1]: (part_of(X0,sum(X1,X0))|part_of(X0,sum(X1,X0)))),
% 0.17/0.63 inference(forward_demodulation,[status(thm)],[f280,f626])).
% 0.17/0.63 fof(f628,plain,(
% 0.17/0.63 ![X0,X1]: (part_of(X0,sum(X1,X0)))),
% 0.17/0.63 inference(duplicate_literals_removal,[status(thm)],[f627])).
% 0.17/0.63 fof(f645,plain,(
% 0.17/0.63 ![X0,X1]: (X0=sum(X0,X1)|open(X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f604,f100])).
% 0.17/0.63 fof(f663,plain,(
% 0.17/0.63 ![X0]: (ax0_sk12(sk16,sk15)=sum(ax0_sk12(sk16,sk15),X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f645,f515])).
% 0.17/0.63 fof(f728,plain,(
% 0.17/0.63 ![X0]: (part_of(X0,ax0_sk12(sk16,sk15)))),
% 0.17/0.63 inference(paramodulation,[status(thm)],[f663,f628])).
% 0.17/0.63 fof(f744,plain,(
% 0.17/0.63 ![X0,X1]: (incident_c(X0,sk15)|incident_c(X0,sk16)|~incident_c(X0,X1))),
% 0.17/0.63 inference(backward_subsumption_resolution,[status(thm)],[f518,f728])).
% 0.17/0.63 fof(f784,plain,(
% 0.17/0.63 ![X0,X1]: (incident_c(ax0_sk1(X0,sk14),sk16)|~incident_c(ax0_sk1(X0,sk14),X1)|part_of(X0,sk14))),
% 0.17/0.63 inference(resolution,[status(thm)],[f744,f154])).
% 0.17/0.63 fof(f791,plain,(
% 0.17/0.63 ![X0]: (part_of(sum(sk15,X0),sk14))),
% 0.17/0.63 inference(backward_subsumption_resolution,[status(thm)],[f459,f794])).
% 0.17/0.63 fof(f794,plain,(
% 0.17/0.63 ![X0,X1]: (~incident_c(ax0_sk1(X0,sk14),X1)|part_of(X0,sk14))),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f784,f153])).
% 0.17/0.63 fof(f833,plain,(
% 0.17/0.63 part_of(ax0_sk12(sk16,sk15),sk14)),
% 0.17/0.63 inference(paramodulation,[status(thm)],[f514,f791])).
% 0.17/0.63 fof(f872,plain,(
% 0.17/0.63 ax0_sk12(sk16,sk15)=sk14|open(ax0_sk12(sk16,sk15))),
% 0.17/0.63 inference(resolution,[status(thm)],[f833,f100])).
% 0.17/0.63 fof(f881,plain,(
% 0.17/0.63 ~open(sk14)),
% 0.17/0.63 inference(backward_demodulation,[status(thm)],[f891,f515])).
% 0.17/0.63 fof(f891,plain,(
% 0.17/0.63 ax0_sk12(sk16,sk15)=sk14),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f872,f515])).
% 0.17/0.63 fof(f912,plain,(
% 0.17/0.63 $false),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f881,f118])).
% 0.17/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.66 % Elapsed time: 0.211648 seconds
% 0.17/0.66 % CPU time: 1.290142 seconds
% 0.17/0.66 % Total memory used: 91.028 MB
% 0.17/0.66 % Net memory used: 89.721 MB
%------------------------------------------------------------------------------