%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA037-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:02:33 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA037-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 13:25:34 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f1,negated_conjecture,(
% 0.18/0.47 c_lessequals(c_0,v_f(v_xa),t_b) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f2,negated_conjecture,(
% 0.18/0.47 c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f3,negated_conjecture,(
% 0.18/0.47 ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f4,negated_conjecture,(
% 0.18/0.47 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f5,axiom,(
% 0.18/0.47 (![T_b,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_b)| c_lessequals(V_x,c_Orderings_Omax(V_x,V_y,T_b),T_b) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f6,axiom,(
% 0.18/0.47 (![T_a,V_y,V_z,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_lessequals(V_y,V_z,T_a)| ~ c_lessequals(V_x,V_y,T_a)| c_lessequals(V_x,V_z,T_a) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f7,axiom,(
% 0.18/0.48 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Opordered__semiring(T_a)| ~ c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_0,V_c,T_a)| c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f8,axiom,(
% 0.18/0.48 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f9,axiom,(
% 0.18/0.48 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f10,axiom,(
% 0.18/0.48 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Oorder(T) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f11,plain,(
% 0.18/0.48 c_lessequals(c_0,v_f(v_xa),t_b)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.48 fof(f12,plain,(
% 0.18/0.48 c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.48 fof(f13,plain,(
% 0.18/0.48 ~c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.48 fof(f14,plain,(
% 0.18/0.48 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.48 fof(f15,plain,(
% 0.18/0.48 ![T_b]: (~class_Orderings_Olinorder(T_b)|(![V_x,V_y]: c_lessequals(V_x,c_Orderings_Omax(V_x,V_y,T_b),T_b)))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f5])).
% 0.18/0.48 fof(f16,plain,(
% 0.18/0.48 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.48 fof(f17,plain,(
% 0.18/0.48 ![T_a,V_z,V_x]: ((![V_y]: ((~class_Orderings_Oorder(T_a)|~c_lessequals(V_y,V_z,T_a))|~c_lessequals(V_x,V_y,T_a)))|c_lessequals(V_x,V_z,T_a))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.48 fof(f18,plain,(
% 0.18/0.48 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.48 fof(f19,plain,(
% 0.18/0.48 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Opordered__semiring(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X3,X0)|c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.48 fof(f20,plain,(
% 0.18/0.48 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.48 fof(f21,plain,(
% 0.18/0.48 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.48 fof(f22,plain,(
% 0.18/0.48 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Oorder(X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.48 fof(f23,plain,(
% 0.18/0.48 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__idom(X0)|c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0))),
% 0.18/0.48 inference(resolution,[status(thm)],[f20,f16])).
% 0.18/0.48 fof(f24,plain,(
% 0.18/0.48 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Oordered__idom(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X3,X0)|c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0))),
% 0.18/0.48 inference(resolution,[status(thm)],[f21,f19])).
% 0.18/0.48 fof(f25,plain,(
% 0.18/0.48 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(X3,X0,X2)|c_lessequals(X3,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.18/0.48 inference(resolution,[status(thm)],[f18,f22])).
% 0.18/0.48 fof(f26,plain,(
% 0.18/0.48 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 0.18/0.48 inference(resolution,[status(thm)],[f25,f14])).
% 0.18/0.48 fof(f27,plain,(
% 0.18/0.48 ![X0]: (~c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)|~c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),X0,t_b))),
% 0.18/0.48 inference(resolution,[status(thm)],[f26,f13])).
% 0.18/0.48 fof(f28,plain,(
% 0.18/0.48 ![X0]: (~c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(X0,v_f(v_xa),t_b),t_b)|~class_Ring__and__Field_Oordered__idom(t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)|~c_lessequals(c_0,v_f(v_xa),t_b))),
% 0.18/0.48 inference(resolution,[status(thm)],[f27,f24])).
% 0.18/0.48 fof(f30,plain,(
% 0.18/0.48 ![X0]: (~c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(X0,v_f(v_xa),t_b),t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)|~c_lessequals(c_0,v_f(v_xa),t_b))),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f28,f14])).
% 0.18/0.48 fof(f34,plain,(
% 0.18/0.48 ![X0]: (~c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(X0,v_f(v_xa),t_b),t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b))),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f30,f11])).
% 0.18/0.48 fof(f35,plain,(
% 0.18/0.48 ~c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b)),
% 0.18/0.48 inference(resolution,[status(thm)],[f34,f12])).
% 0.18/0.48 fof(f37,plain,(
% 0.18/0.48 ~class_Ring__and__Field_Oordered__idom(t_b)),
% 0.18/0.48 inference(resolution,[status(thm)],[f35,f23])).
% 0.18/0.48 fof(f39,plain,(
% 0.18/0.48 $false),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f37,f14])).
% 0.18/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.57 % Elapsed time: 0.123023 seconds
% 0.24/0.57 % CPU time: 0.096558 seconds
% 0.24/0.57 % Total memory used: 1.783 MB
% 0.24/0.57 % Net memory used: 1.774 MB
%------------------------------------------------------------------------------