%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO082-1 : 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 : n018.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 12:25:43 PM UTC 2026
% Result : Unsatisfiable 0.66s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 10:12:29 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.66/0.54 % Refutation found
% 0.66/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.66/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.66/0.54 fof(f1,axiom,(
% 0.66/0.54 (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f7,axiom,(
% 0.66/0.54 (![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) ) ))),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f11,axiom,(
% 0.66/0.54 (![A,B,C]: (( ~ incident_c(ax0_sk2(A,B,C),B)| ~ incident_c(ax0_sk2(A,B,C),C)| C = sum(B,A) ) ))),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f12,axiom,(
% 0.66/0.54 (![A,B,C]: (( ~ incident_c(ax0_sk2(A,B,C),A)| ~ incident_c(ax0_sk2(A,B,C),C)| C = sum(B,A) ) ))),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f49,negated_conjecture,(
% 0.66/0.54 part_of(sk14,sk15) ),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f50,negated_conjecture,(
% 0.66/0.54 part_of(sk15,sk14) ),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f51,negated_conjecture,(
% 0.66/0.54 sk14 != sk15 ),
% 0.66/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.66/0.54 fof(f52,plain,(
% 0.66/0.54 ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 0.66/0.54 inference(miniscoping,[status(thm)],[f1])).
% 0.66/0.54 fof(f53,plain,(
% 0.66/0.54 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f52])).
% 0.66/0.54 fof(f62,plain,(
% 0.66/0.54 ![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))),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.66/0.54 fof(f66,plain,(
% 0.66/0.54 ![X0,X1,X2]: (~incident_c(ax0_sk2(X0,X1,X2),X1)|~incident_c(ax0_sk2(X0,X1,X2),X2)|X2=sum(X1,X0))),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f11])).
% 0.66/0.54 fof(f67,plain,(
% 0.66/0.54 ![X0,X1,X2]: (~incident_c(ax0_sk2(X0,X1,X2),X0)|~incident_c(ax0_sk2(X0,X1,X2),X2)|X2=sum(X1,X0))),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f12])).
% 0.66/0.54 fof(f116,plain,(
% 0.66/0.54 part_of(sk14,sk15)),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f49])).
% 0.66/0.54 fof(f117,plain,(
% 0.66/0.54 part_of(sk15,sk14)),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f50])).
% 0.66/0.54 fof(f118,plain,(
% 0.66/0.54 ~sk14=sk15),
% 0.66/0.54 inference(cnf_transformation,[status(thm)],[f51])).
% 0.66/0.54 fof(f119,plain,(
% 0.66/0.54 ![X0]: (~incident_c(X0,sk15)|incident_c(X0,sk14))),
% 0.66/0.54 inference(resolution,[status(thm)],[f53,f117])).
% 0.66/0.54 fof(f120,plain,(
% 0.66/0.54 ![X0]: (~incident_c(X0,sk14)|incident_c(X0,sk15))),
% 0.66/0.54 inference(resolution,[status(thm)],[f53,f116])).
% 0.66/0.54 fof(f197,plain,(
% 0.66/0.54 ![X0,X1]: (incident_c(ax0_sk2(X0,X1,sk14),X1)|incident_c(ax0_sk2(X0,X1,sk14),X0)|sk14=sum(X1,X0)|incident_c(ax0_sk2(X0,X1,sk14),sk15))),
% 0.66/0.54 inference(resolution,[status(thm)],[f62,f120])).
% 0.66/0.54 fof(f211,plain,(
% 0.66/0.54 ![X0]: (incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0))),
% 0.66/0.54 inference(factoring,[status(thm)],[f62])).
% 0.66/0.54 fof(f249,plain,(
% 0.66/0.54 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0)|X0=sum(X0,X0))),
% 0.66/0.54 inference(resolution,[status(thm)],[f66,f211])).
% 0.66/0.54 fof(f256,plain,(
% 0.66/0.54 ![X0]: (~incident_c(ax0_sk2(X0,X0,X0),X0)|X0=sum(X0,X0))),
% 0.66/0.54 inference(duplicate_literals_removal,[status(thm)],[f249])).
% 0.66/0.54 fof(f265,plain,(
% 0.66/0.54 ![X0]: (X0=sum(X0,X0))),
% 0.66/0.54 inference(forward_subsumption_resolution,[status(thm)],[f256,f211])).
% 0.66/0.54 fof(f303,plain,(
% 0.66/0.54 sk14=sum(sk15,sk15)|incident_c(ax0_sk2(sk15,sk15,sk14),sk14)),
% 0.66/0.54 inference(resolution,[status(thm)],[f197,f119])).
% 0.66/0.54 fof(f321,plain,(
% 0.66/0.54 incident_c(ax0_sk2(sk15,sk15,sk14),sk15)|sk14=sum(sk15,sk15)),
% 0.66/0.54 inference(factoring,[status(thm)],[f197])).
% 0.66/0.54 fof(f324,plain,(
% 0.66/0.54 sk14=sk15|incident_c(ax0_sk2(sk15,sk15,sk14),sk14)),
% 0.66/0.54 inference(forward_demodulation,[status(thm)],[f265,f303])).
% 0.66/0.54 fof(f325,plain,(
% 0.66/0.54 incident_c(ax0_sk2(sk15,sk15,sk14),sk14)),
% 0.66/0.54 inference(forward_subsumption_resolution,[status(thm)],[f324,f118])).
% 0.66/0.54 fof(f332,plain,(
% 0.66/0.54 incident_c(ax0_sk2(sk15,sk15,sk14),sk15)|sk14=sk15),
% 0.66/0.54 inference(forward_demodulation,[status(thm)],[f265,f321])).
% 0.66/0.54 fof(f333,plain,(
% 0.66/0.54 incident_c(ax0_sk2(sk15,sk15,sk14),sk15)),
% 0.66/0.54 inference(forward_subsumption_resolution,[status(thm)],[f332,f118])).
% 0.66/0.54 fof(f334,plain,(
% 0.66/0.54 ~incident_c(ax0_sk2(sk15,sk15,sk14),sk15)|sk14=sum(sk15,sk15)),
% 0.66/0.56 inference(resolution,[status(thm)],[f325,f67])).
% 0.66/0.56 fof(f339,plain,(
% 0.66/0.56 ~incident_c(ax0_sk2(sk15,sk15,sk14),sk15)|sk14=sk15),
% 0.66/0.56 inference(forward_demodulation,[status(thm)],[f265,f334])).
% 0.66/0.56 fof(f362,plain,(
% 0.66/0.56 ~sk14=sk14),
% 0.66/0.56 inference(backward_demodulation,[status(thm)],[f395,f118])).
% 0.66/0.56 fof(f395,plain,(
% 0.66/0.56 sk14=sk15),
% 0.66/0.56 inference(forward_subsumption_resolution,[status(thm)],[f339,f333])).
% 0.66/0.56 fof(f420,plain,(
% 0.66/0.56 $false),
% 0.66/0.56 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.66/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.66/0.58 % Elapsed time: 0.203666 seconds
% 0.66/0.58 % CPU time: 1.171948 seconds
% 0.66/0.58 % Total memory used: 91.338 MB
% 0.66/0.58 % Net memory used: 89.964 MB
%------------------------------------------------------------------------------