%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA034-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 0.22s 10.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA034-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.46 % Computer : n015.cluster.edu
% 0.16/10.46 % Model : x86_64 x86_64
% 0.16/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.46 % Memory : 8046.5625MB
% 0.16/10.46 % OS : Linux 6.8.0-71-generic
% 0.16/10.46 % CPULimit : 300
% 0.16/10.46 % WCLimit : 300
% 0.16/10.46 % DateTime : Mon Sep 21 13:28:48 UTC 2026
% 0.16/10.47 % CPUTime :
% 0.16/10.48 % Drodi V4.1.1
% 0.22/10.57 % Refutation found
% 0.22/10.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/10.57 % SZS output start CNFRefutation for theBenchmark
% 0.22/10.57 fof(f1,axiom,(
% 0.22/10.57 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f2,axiom,(
% 0.22/10.57 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f3,axiom,(
% 0.22/10.57 (![T_a,V_a,V_b]: (ifeq2(class_Ring__and__Field_Oordered__idom(T_a),true,c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a),c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a)) = c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f4,axiom,(
% 0.22/10.57 (![V_b,T_a,V_c,V_a,V_d]: (ifeq(c_lessequals(c_0,V_b,T_a),true,ifeq(c_lessequals(c_0,V_c,T_a),true,ifeq(c_lessequals(V_a,V_b,T_a),true,ifeq(c_lessequals(V_c,V_d,T_a),true,ifeq(class_Ring__and__Field_Opordered__semiring(T_a),true,c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_d,T_a),T_a),true),true),true),true),true) = true ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f5,axiom,(
% 0.22/10.57 (![T_a,V_a,V_b]: (ifeq(class_Ring__and__Field_Opordered__cancel__semiring(T_a),true,ifeq(c_lessequals(c_0,V_a,T_a),true,ifeq(c_lessequals(c_0,V_b,T_a),true,c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a),true),true),true) = true ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f6,axiom,(
% 0.22/10.57 (![V_x,V_y,T_a]: (ifeq(c_less(V_x,V_y,T_a),true,ifeq(class_Orderings_Oorder(T_a),true,c_lessequals(V_x,V_y,T_a),true),true) = true ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f7,axiom,(
% 0.22/10.57 (![T_a,V_a]: (ifeq(class_OrderedGroup_Olordered__ab__group__abs(T_a),true,c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a),true) = true ))),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f8,negated_conjecture,(
% 0.22/10.57 c_less(c_0,v_c,t_b) = true ),
% 0.22/10.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.57 fof(f9,negated_conjecture,(
% 0.22/10.57 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = true ),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f10,negated_conjecture,(
% 0.22/10.58 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = true ),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f11,negated_conjecture,(
% 0.22/10.58 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f12,negated_conjecture,(
% 0.22/10.58 c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != true ),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f13,negated_conjecture,(
% 0.22/10.58 class_Ring__and__Field_Oordered__idom(t_b) = true ),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f14,axiom,(
% 0.22/10.58 (![T]: (ifeq(class_OrderedGroup_Olordered__ab__group__abs(T),true,class_Orderings_Oorder(T),true) = true ))),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f15,axiom,(
% 0.22/10.58 (![T]: (ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_Ring__and__Field_Opordered__cancel__semiring(T),true) = true ))),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f16,axiom,(
% 0.22/10.58 (![T]: (ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_Ring__and__Field_Opordered__semiring(T),true) = true ))),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f17,axiom,(
% 0.22/10.58 (![T]: (ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Olordered__ab__group__abs(T),true) = true ))),
% 0.22/10.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/10.58 fof(f18,plain,(
% 0.22/10.58 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/10.58 fof(f19,plain,(
% 0.22/10.58 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/10.58 fof(f20,plain,(
% 0.22/10.58 ![X0,X1,X2]: (ifeq2(class_Ring__and__Field_Oordered__idom(X0),true,c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0),c_HOL_Oabs(c_times(X1,X2,X0),X0))=c_HOL_Oabs(c_times(X1,X2,X0),X0))),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/10.58 fof(f21,plain,(
% 0.22/10.58 ![X0,X1,X2,X3,X4]: (ifeq(c_lessequals(c_0,X0,X1),true,ifeq(c_lessequals(c_0,X2,X1),true,ifeq(c_lessequals(X3,X0,X1),true,ifeq(c_lessequals(X2,X4,X1),true,ifeq(class_Ring__and__Field_Opordered__semiring(X1),true,c_lessequals(c_times(X3,X2,X1),c_times(X0,X4,X1),X1),true),true),true),true),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/10.58 fof(f22,plain,(
% 0.22/10.58 ![X0,X1,X2]: (ifeq(class_Ring__and__Field_Opordered__cancel__semiring(X0),true,ifeq(c_lessequals(c_0,X1,X0),true,ifeq(c_lessequals(c_0,X2,X0),true,c_lessequals(c_0,c_times(X1,X2,X0),X0),true),true),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/10.58 fof(f23,plain,(
% 0.22/10.58 ![X0,X1,X2]: (ifeq(c_less(X0,X1,X2),true,ifeq(class_Orderings_Oorder(X2),true,c_lessequals(X0,X1,X2),true),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/10.58 fof(f24,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(class_OrderedGroup_Olordered__ab__group__abs(X0),true,c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.22/10.58 fof(f25,plain,(
% 0.22/10.58 c_less(c_0,v_c,t_b)=true),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.22/10.58 fof(f26,plain,(
% 0.22/10.58 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)=true),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.22/10.58 fof(f27,plain,(
% 0.22/10.58 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)=true),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/10.58 fof(f28,plain,(
% 0.22/10.58 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)=c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.22/10.58 fof(f29,plain,(
% 0.22/10.58 ~c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)=true),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.22/10.58 fof(f30,plain,(
% 0.22/10.58 class_Ring__and__Field_Oordered__idom(t_b)=true),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f13])).
% 0.22/10.58 fof(f31,plain,(
% 0.22/10.58 ![X0]: (ifeq(class_OrderedGroup_Olordered__ab__group__abs(X0),true,class_Orderings_Oorder(X0),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.22/10.58 fof(f32,plain,(
% 0.22/10.58 ![X0]: (ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Ring__and__Field_Opordered__cancel__semiring(X0),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.22/10.58 fof(f33,plain,(
% 0.22/10.58 ![X0]: (ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Ring__and__Field_Opordered__semiring(X0),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.22/10.58 fof(f34,plain,(
% 0.22/10.58 ![X0]: (ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Olordered__ab__group__abs(X0),true)=true)),
% 0.22/10.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.22/10.58 fof(f47,plain,(
% 0.22/10.58 ifeq(true,true,ifeq(class_Orderings_Oorder(t_b),true,c_lessequals(c_0,v_c,t_b),true),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f25,f23])).
% 0.22/10.58 fof(f49,plain,(
% 0.22/10.58 ifeq(class_Orderings_Oorder(t_b),true,c_lessequals(c_0,v_c,t_b),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f47])).
% 0.22/10.58 fof(f53,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq2(true,true,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),c_HOL_Oabs(c_times(X0,X1,t_b),t_b))=c_HOL_Oabs(c_times(X0,X1,t_b),t_b))),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f30,f20])).
% 0.22/10.58 fof(f55,plain,(
% 0.22/10.58 ![X0,X1]: (c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b)=c_HOL_Oabs(c_times(X0,X1,t_b),t_b))),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f18,f53])).
% 0.22/10.58 fof(f59,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(true,true,ifeq(c_lessequals(X0,X1,t_b),true,ifeq(class_Ring__and__Field_Opordered__semiring(t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),X0,t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),X1,t_b),t_b),true),true),true),true),true)=true)),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f26,f21])).
% 0.22/10.58 fof(f65,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(X0,X1,t_b),true,ifeq(class_Ring__and__Field_Opordered__semiring(t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),X0,t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),X1,t_b),t_b),true),true),true),true)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f59])).
% 0.22/10.58 fof(f69,plain,(
% 0.22/10.58 ifeq(true,true,class_Ring__and__Field_Opordered__cancel__semiring(t_b),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f30,f32])).
% 0.22/10.58 fof(f71,plain,(
% 0.22/10.58 class_Ring__and__Field_Opordered__cancel__semiring(t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f69])).
% 0.22/10.58 fof(f73,plain,(
% 0.22/10.58 ifeq(true,true,class_Ring__and__Field_Opordered__semiring(t_b),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f30,f33])).
% 0.22/10.58 fof(f78,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(X0,X1,t_b),true,ifeq(true,true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),X0,t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),X1,t_b),t_b),true),true),true),true)=true)),
% 0.22/10.58 inference(backward_demodulation,[status(thm)],[f80,f65])).
% 0.22/10.58 fof(f80,plain,(
% 0.22/10.58 class_Ring__and__Field_Opordered__semiring(t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f73])).
% 0.22/10.58 fof(f85,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),X0,t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),X1,t_b),t_b),true),true),true)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f78])).
% 0.22/10.58 fof(f88,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(true,true,ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,X1,t_b),true,c_lessequals(c_0,c_times(X0,X1,t_b),t_b),true),true),true)=true)),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f71,f22])).
% 0.22/10.58 fof(f90,plain,(
% 0.22/10.58 ![X0,X1]: (ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,X1,t_b),true,c_lessequals(c_0,c_times(X0,X1,t_b),t_b),true),true)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f88])).
% 0.22/10.58 fof(f128,plain,(
% 0.22/10.58 ifeq(true,true,class_OrderedGroup_Olordered__ab__group__abs(t_b),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f30,f34])).
% 0.22/10.58 fof(f129,plain,(
% 0.22/10.58 class_OrderedGroup_Olordered__ab__group__abs(t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f128])).
% 0.22/10.58 fof(f131,plain,(
% 0.22/10.58 ![X0]: (ifeq(true,true,c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),true)=true)),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f129,f24])).
% 0.22/10.58 fof(f132,plain,(
% 0.22/10.58 ifeq(true,true,class_Orderings_Oorder(t_b),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f129,f31])).
% 0.22/10.58 fof(f145,plain,(
% 0.22/10.58 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f131])).
% 0.22/10.58 fof(f148,plain,(
% 0.22/10.58 ifeq(true,true,c_lessequals(c_0,v_c,t_b),true)=true),
% 0.22/10.58 inference(backward_demodulation,[status(thm)],[f149,f49])).
% 0.22/10.58 fof(f149,plain,(
% 0.22/10.58 class_Orderings_Oorder(t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f132])).
% 0.22/10.58 fof(f165,plain,(
% 0.22/10.58 c_lessequals(c_0,v_c,t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f148])).
% 0.22/10.58 fof(f170,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),true,ifeq(true,true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true)=true),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f27,f85])).
% 0.22/10.58 fof(f174,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(true,true,ifeq(true,true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f145,f170])).
% 0.22/10.58 fof(f175,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(true,true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f174])).
% 0.22/10.58 fof(f176,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f175])).
% 0.22/10.58 fof(f177,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f55,f176])).
% 0.22/10.58 fof(f178,plain,(
% 0.22/10.58 ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),true)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f28,f177])).
% 0.22/10.58 fof(f221,plain,(
% 0.22/10.58 ![X0]: (ifeq(true,true,ifeq(c_lessequals(c_0,X0,t_b),true,c_lessequals(c_0,c_times(v_c,X0,t_b),t_b),true),true)=true)),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f165,f90])).
% 0.22/10.58 fof(f240,plain,(
% 0.22/10.58 ![X0]: (ifeq(c_lessequals(c_0,X0,t_b),true,c_lessequals(c_0,c_times(v_c,X0,t_b),t_b),true)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f221])).
% 0.22/10.58 fof(f862,plain,(
% 0.22/10.58 ![X0]: (ifeq(true,true,c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b),true)=true)),
% 0.22/10.58 inference(paramodulation,[status(thm)],[f145,f240])).
% 0.22/10.58 fof(f873,plain,(
% 0.22/10.58 ifeq(true,true,c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),true)=true),
% 0.22/10.58 inference(backward_demodulation,[status(thm)],[f908,f178])).
% 0.22/10.58 fof(f908,plain,(
% 0.22/10.58 ![X0]: (c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b)=true)),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f862])).
% 0.22/10.58 fof(f916,plain,(
% 0.22/10.58 c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)=true),
% 0.22/10.58 inference(forward_demodulation,[status(thm)],[f19,f873])).
% 0.22/10.58 fof(f917,plain,(
% 0.22/10.58 $false),
% 0.22/10.58 inference(forward_subsumption_resolution,[status(thm)],[f916,f29])).
% 0.22/10.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/10.63 % Elapsed time: 0.142789 seconds
% 0.22/10.63 % CPU time: 0.751845 seconds
% 0.22/10.63 % Total memory used: 46.611 MB
% 0.22/10.63 % Net memory used: 46.247 MB
%------------------------------------------------------------------------------