%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:50:20 PM UTC 2026
% Result : Unsatisfiable 1.23s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.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 : Mon Sep 21 08:36:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.47 % Drodi V4.1.1
% 1.23/0.71 % Refutation found
% 1.23/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.23/0.71 % SZS output start CNFRefutation for theBenchmark
% 1.23/0.71 fof(f66,axiom,(
% 1.23/0.71 (![V_n]: (~ c_less(V_n,V_n,tc_nat) ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f1352,axiom,(
% 1.23/0.71 (![V_w,V_z]: (( ~ c_lessequals(V_w,V_z,tc_IntDef_Oint)| c_less(V_w,c_plus(V_z,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ) ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f1374,axiom,(
% 1.23/0.71 c_IntDef_Oint(c_0) = c_0 ),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f1384,axiom,(
% 1.23/0.71 (![V_y]: (c_IntDef_Onat(c_IntDef_Oint(V_y)) = V_y ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f1426,axiom,(
% 1.23/0.71 (![V_m,V_n]: (( ~ c_lessequals(V_m,V_n,tc_nat)| c_lessequals(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint) ) ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f1431,axiom,(
% 1.23/0.71 (![V_w,V_z]: (( ~ c_less(V_w,V_z,tc_IntDef_Oint)| ~ c_less(c_0,V_z,tc_IntDef_Oint)| c_less(c_IntDef_Onat(V_w),c_IntDef_Onat(V_z),tc_nat) ) ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f2788,negated_conjecture,(
% 1.23/0.71 (![V_U]: (c_lessequals(V_U,v_x(V_U),tc_nat) ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f2789,negated_conjecture,(
% 1.23/0.71 (![V_U]: (v_x(V_U) = v_nat ))),
% 1.23/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.23/0.71 fof(f2878,plain,(
% 1.23/0.71 ![X0]: (~c_less(X0,X0,tc_nat))),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f66])).
% 1.23/0.71 fof(f4238,plain,(
% 1.23/0.71 ![X0,X1]: (~c_lessequals(X0,X1,tc_IntDef_Oint)|c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint))),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f1352])).
% 1.23/0.71 fof(f4260,plain,(
% 1.23/0.71 c_IntDef_Oint(c_0)=c_0),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f1374])).
% 1.23/0.71 fof(f4270,plain,(
% 1.23/0.71 ![X0]: (c_IntDef_Onat(c_IntDef_Oint(X0))=X0)),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f1384])).
% 1.23/0.71 fof(f4330,plain,(
% 1.23/0.71 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint))),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f1426])).
% 1.23/0.71 fof(f4336,plain,(
% 1.23/0.71 ![X0,X1]: (~c_less(X0,X1,tc_IntDef_Oint)|~c_less(c_0,X1,tc_IntDef_Oint)|c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat))),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f1431])).
% 1.23/0.71 fof(f6201,plain,(
% 1.23/0.71 ![X0]: (c_lessequals(X0,v_x(X0),tc_nat))),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f2788])).
% 1.23/0.71 fof(f6202,plain,(
% 1.23/0.71 ![X0]: (v_x(X0)=v_nat)),
% 1.23/0.71 inference(cnf_transformation,[status(thm)],[f2789])).
% 1.23/0.71 fof(f6204,plain,(
% 1.23/0.71 ![X0]: (c_lessequals(X0,v_nat,tc_nat))),
% 1.23/0.71 inference(forward_demodulation,[status(thm)],[f6202,f6201])).
% 1.23/0.71 fof(f8193,plain,(
% 1.23/0.71 ![X0]: (c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(v_nat),tc_IntDef_Oint))),
% 1.23/0.71 inference(resolution,[status(thm)],[f4330,f6204])).
% 1.23/0.71 fof(f8220,plain,(
% 1.23/0.71 ![X0]: (c_less(c_IntDef_Oint(X0),c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint),tc_IntDef_Oint))),
% 1.23/0.71 inference(resolution,[status(thm)],[f8193,f4238])).
% 1.23/0.71 fof(f8225,plain,(
% 1.23/0.71 c_less(c_0,c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint),tc_IntDef_Oint)),
% 1.23/0.71 inference(paramodulation,[status(thm)],[f4260,f8220])).
% 1.23/0.71 fof(f8255,plain,(
% 1.23/0.71 ![X0]: (~c_less(X0,c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint),tc_IntDef_Oint)|c_less(c_IntDef_Onat(X0),c_IntDef_Onat(c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint)),tc_nat))),
% 1.23/0.71 inference(resolution,[status(thm)],[f4336,f8225])).
% 1.23/0.71 fof(f8282,plain,(
% 1.23/0.71 ![X0]: (c_less(c_IntDef_Onat(c_IntDef_Oint(X0)),c_IntDef_Onat(c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint)),tc_nat))),
% 1.23/0.71 inference(resolution,[status(thm)],[f8255,f8220])).
% 1.23/0.71 fof(f8285,plain,(
% 1.23/0.71 ![X0]: (c_less(X0,c_IntDef_Onat(c_plus(c_IntDef_Oint(v_nat),c_1,tc_IntDef_Oint)),tc_nat))),
% 1.23/0.71 inference(forward_demodulation,[status(thm)],[f4270,f8282])).
% 1.23/0.71 fof(f8321,plain,(
% 1.23/0.71 $false),
% 1.23/0.71 inference(resolution,[status(thm)],[f8285,f2878])).
% 1.23/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.31/0.73 % Elapsed time: 0.360215 seconds
% 0.31/0.73 % CPU time: 1.787119 seconds
% 0.31/0.73 % Total memory used: 245.442 MB
% 0.31/0.73 % Net memory used: 244.270 MB
%------------------------------------------------------------------------------