%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA016-2 : 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 : n003.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 12:02:30 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA016-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 13:25:18 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,negated_conjecture,(
% 0.09/0.37 v_c != c_0 ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,negated_conjecture,(
% 0.09/0.37 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,negated_conjecture,(
% 0.09/0.37 class_Ring__and__Field_Oordered__field(t_a) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (![T_a,V_y]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_times(c_1,V_y,T_a) = V_y ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,axiom,(
% 0.09/0.37 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Osemigroup__mult(T_a)| c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| V_a = c_0| c_times(V_a,c_HOL_Oinverse(V_a,T_a),T_a) = c_1 ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,axiom,(
% 0.09/0.37 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Omonoid__mult(T) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f8,axiom,(
% 0.09/0.37 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,axiom,(
% 0.09/0.37 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Ofield(T) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ~v_c=c_0),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ~v_g(v_x)=c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 class_Ring__and__Field_Oordered__field(t_a)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_y]: c_times(c_1,V_y,T_a)=V_y))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_times(c_1,X1,X0)=X1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![T_a]: (~class_OrderedGroup_Osemigroup__mult(T_a)|(![V_a,V_b,V_c]: c_times(c_times(V_a,V_b,T_a),V_c,T_a)=c_times(V_a,c_times(V_b,V_c,T_a),T_a)))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (~class_OrderedGroup_Osemigroup__mult(X0)|c_times(c_times(X1,X2,X0),X3,X0)=c_times(X1,c_times(X2,X3,X0),X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|X1=c_0|c_times(X1,c_HOL_Oinverse(X1,X0),X0)=c_1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Omonoid__mult(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Ofield(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 class_Ring__and__Field_Ofield(t_a)),
% 0.09/0.37 inference(resolution,[status(thm)],[f20,f12])).
% 0.09/0.37 fof(f22,plain,(
% 0.09/0.37 ![X0]: (X0=c_0|c_times(X0,c_HOL_Oinverse(X0,t_a),t_a)=c_1)),
% 0.09/0.37 inference(resolution,[status(thm)],[f17,f21])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 class_OrderedGroup_Omonoid__mult(t_a)),
% 0.09/0.37 inference(resolution,[status(thm)],[f18,f21])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0]: (c_times(c_1,X0,t_a)=X0)),
% 0.09/0.37 inference(resolution,[status(thm)],[f23,f14])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 class_OrderedGroup_Osemigroup__mult(t_a)),
% 0.09/0.37 inference(resolution,[status(thm)],[f19,f21])).
% 0.09/0.37 fof(f26,plain,(
% 0.09/0.37 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_a),X2,t_a)=c_times(X0,c_times(X1,X2,t_a),t_a))),
% 0.09/0.37 inference(resolution,[status(thm)],[f25,f16])).
% 0.09/0.37 fof(f32,plain,(
% 0.09/0.37 ![X0,X1]: (c_times(c_1,X0,t_a)=c_times(X1,c_times(c_HOL_Oinverse(X1,t_a),X0,t_a),t_a)|X1=c_0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f22,f26])).
% 0.09/0.37 fof(f36,plain,(
% 0.09/0.37 ![X0,X1]: (X0=c_times(X1,c_times(c_HOL_Oinverse(X1,t_a),X0,t_a),t_a)|X1=c_0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f24,f32])).
% 0.09/0.37 fof(f64,plain,(
% 0.09/0.37 v_c=c_0),
% 0.09/0.37 inference(resolution,[status(thm)],[f36,f11])).
% 0.09/0.37 fof(f78,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f64,f10])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.054014 seconds
% 0.13/0.41 % CPU time: 0.155220 seconds
% 0.13/0.41 % Total memory used: 80.015 MB
% 0.13/0.41 % Net memory used: 79.514 MB
%------------------------------------------------------------------------------