%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA032-2 : 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 : 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 12:02:32 PM UTC 2026
% Result : Unsatisfiable 72.68s 9.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA032-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 13:25:12 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 % Drodi V4.1.1
% 72.68/9.68 % Refutation found
% 72.68/9.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 72.68/9.68 % SZS output start CNFRefutation for theBenchmark
% 72.68/9.68 fof(f1,axiom,(
% 72.68/9.68 (![T_a,V_a]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f2,axiom,(
% 72.68/9.68 (![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) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f3,axiom,(
% 72.68/9.68 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)| c_times(V_a,V_b,T_a) = c_times(V_b,V_a,T_a) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f4,axiom,(
% 72.68/9.68 (![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_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f5,negated_conjecture,(
% 72.68/9.68 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f6,negated_conjecture,(
% 72.68/9.68 ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) ),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f7,axiom,(
% 72.68/9.68 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__semigroup__mult(T) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f8,axiom,(
% 72.68/9.68 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f9,axiom,(
% 72.68/9.68 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f10,axiom,(
% 72.68/9.68 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f11,negated_conjecture,(
% 72.68/9.68 class_Ring__and__Field_Oordered__idom(t_b) ),
% 72.68/9.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.68/9.68 fof(f12,plain,(
% 72.68/9.68 ![T_a]: (~class_OrderedGroup_Olordered__ab__group__abs(T_a)|(![V_a]: c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a)))),
% 72.68/9.68 inference(miniscoping,[status(thm)],[f1])).
% 72.68/9.68 fof(f13,plain,(
% 72.68/9.68 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f12])).
% 72.68/9.68 fof(f14,plain,(
% 72.68/9.68 ![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)))),
% 72.68/9.68 inference(miniscoping,[status(thm)],[f2])).
% 72.68/9.68 fof(f15,plain,(
% 72.68/9.68 ![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))),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f14])).
% 72.68/9.68 fof(f16,plain,(
% 72.68/9.68 ![T_a]: (~class_OrderedGroup_Oab__semigroup__mult(T_a)|(![V_a,V_b]: c_times(V_a,V_b,T_a)=c_times(V_b,V_a,T_a)))),
% 72.68/9.68 inference(miniscoping,[status(thm)],[f3])).
% 72.68/9.68 fof(f17,plain,(
% 72.68/9.68 ![X0,X1,X2]: (~class_OrderedGroup_Oab__semigroup__mult(X0)|c_times(X1,X2,X0)=c_times(X2,X1,X0))),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f16])).
% 72.68/9.68 fof(f18,plain,(
% 72.68/9.68 ![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(X3,X1,X0),c_times(X3,X2,X0),X0))),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f4])).
% 72.68/9.68 fof(f19,plain,(
% 72.68/9.68 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f5])).
% 72.68/9.68 fof(f20,plain,(
% 72.68/9.68 ~c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)),
% 72.68/9.68 inference(cnf_transformation,[status(thm)],[f6])).
% 72.68/9.70 fof(f21,plain,(
% 72.68/9.70 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__semigroup__mult(X0))),
% 72.68/9.70 inference(cnf_transformation,[status(thm)],[f7])).
% 72.68/9.70 fof(f22,plain,(
% 72.68/9.70 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 72.68/9.70 inference(cnf_transformation,[status(thm)],[f8])).
% 72.68/9.70 fof(f23,plain,(
% 72.68/9.70 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 72.68/9.70 inference(cnf_transformation,[status(thm)],[f9])).
% 72.68/9.70 fof(f24,plain,(
% 72.68/9.70 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 72.68/9.70 inference(cnf_transformation,[status(thm)],[f10])).
% 72.68/9.70 fof(f25,plain,(
% 72.68/9.70 class_Ring__and__Field_Oordered__idom(t_b)),
% 72.68/9.70 inference(cnf_transformation,[status(thm)],[f11])).
% 72.68/9.70 fof(f26,plain,(
% 72.68/9.70 class_OrderedGroup_Oab__semigroup__mult(t_b)),
% 72.68/9.70 inference(resolution,[status(thm)],[f21,f25])).
% 72.68/9.70 fof(f27,plain,(
% 72.68/9.70 class_OrderedGroup_Osemigroup__mult(t_b)),
% 72.68/9.70 inference(resolution,[status(thm)],[f22,f25])).
% 72.68/9.70 fof(f28,plain,(
% 72.68/9.70 class_Ring__and__Field_Opordered__semiring(t_b)),
% 72.68/9.70 inference(resolution,[status(thm)],[f23,f25])).
% 72.68/9.70 fof(f29,plain,(
% 72.68/9.70 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 72.68/9.70 inference(resolution,[status(thm)],[f24,f25])).
% 72.68/9.70 fof(f30,plain,(
% 72.68/9.70 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f29,f13])).
% 72.68/9.70 fof(f31,plain,(
% 72.68/9.70 ![X0,X1]: (c_times(X0,X1,t_b)=c_times(X1,X0,t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f17,f26])).
% 72.68/9.70 fof(f32,plain,(
% 72.68/9.70 ~c_lessequals(c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)),
% 72.68/9.70 inference(backward_demodulation,[status(thm)],[f31,f20])).
% 72.68/9.70 fof(f37,plain,(
% 72.68/9.70 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_b),X2,t_b)=c_times(X0,c_times(X1,X2,t_b),t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f15,f27])).
% 72.68/9.70 fof(f38,plain,(
% 72.68/9.70 ![X0,X1,X2]: (c_times(X0,c_times(X1,X2,t_b),t_b)=c_times(X1,c_times(X2,X0,t_b),t_b))),
% 72.68/9.70 inference(paramodulation,[status(thm)],[f31,f37])).
% 72.68/9.70 fof(f65,plain,(
% 72.68/9.70 ![X0,X1,X2]: (c_times(X0,c_times(X1,X2,t_b),t_b)=c_times(X1,c_times(X0,X2,t_b),t_b))),
% 72.68/9.70 inference(paramodulation,[status(thm)],[f31,f38])).
% 72.68/9.70 fof(f433,plain,(
% 72.68/9.70 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,X2,t_b)|c_lessequals(c_times(X2,X0,t_b),c_times(X2,X1,t_b),t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f18,f28])).
% 72.68/9.70 fof(f435,plain,(
% 72.68/9.70 ![X0]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f433,f19])).
% 72.68/9.70 fof(f438,plain,(
% 72.68/9.70 ![X0]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b))),
% 72.68/9.70 inference(resolution,[status(thm)],[f435,f30])).
% 72.68/9.70 fof(f439,plain,(
% 72.68/9.70 ![X0]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b))),
% 72.68/9.70 inference(forward_demodulation,[status(thm)],[f65,f438])).
% 72.68/9.70 fof(f7410,plain,(
% 72.68/9.70 $false),
% 72.68/9.70 inference(backward_subsumption_resolution,[status(thm)],[f32,f439])).
% 72.68/9.70 % SZS output end CNFRefutation for theBenchmark.p
% 5.10/9.75 % Elapsed time: 9.312576 seconds
% 5.10/9.75 % CPU time: 73.196371 seconds
% 5.10/9.75 % Total memory used: 218.108 MB
% 5.10/9.75 % Net memory used: 209.204 MB
%------------------------------------------------------------------------------