%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA035-2 : 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 : n007.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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:23:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,negated_conjecture,(
% 0.10/0.40 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) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,negated_conjecture,(
% 0.10/0.40 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![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) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,axiom,(
% 0.10/0.40 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)| c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,axiom,(
% 0.10/0.40 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,axiom,(
% 0.10/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__semigroup__mult(T) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,plain,(
% 0.10/0.40 ~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)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![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)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.40 fof(f10,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~class_OrderedGroup_Oab__semigroup__mult(X0)|c_times(X1,X2,X0)=c_times(X2,X1,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 ![T_a]: (~class_OrderedGroup_Oab__semigroup__mult(T_a)|(![V_a,V_b,V_c]: c_times(V_a,c_times(V_b,V_c,T_a),T_a)=c_times(V_b,c_times(V_a,V_c,T_a),T_a)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__semigroup__mult(X0)|c_times(X1,c_times(X2,X3,X0),X0)=c_times(X2,c_times(X1,X3,X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 ![T_a]: (~class_Ring__and__Field_Oordered__idom(T_a)|(![V_a,V_b]: c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a)=c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__idom(X0)|c_HOL_Oabs(c_times(X1,X2,X0),X0)=c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__semigroup__mult(X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 class_OrderedGroup_Oab__semigroup__mult(t_b)),
% 0.10/0.40 inference(resolution,[status(thm)],[f15,f8])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 ![X0,X1]: (c_HOL_Oabs(c_times(X0,X1,t_b),t_b)=c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b))),
% 0.10/0.40 inference(resolution,[status(thm)],[f14,f8])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 ![X0,X1]: (c_times(X0,X1,t_b)=c_times(X1,X0,t_b))),
% 0.10/0.40 inference(resolution,[status(thm)],[f10,f16])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 ~c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(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)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f18,f7])).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(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)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f18,f19])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f18,f28])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![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))),
% 0.10/0.40 inference(resolution,[status(thm)],[f12,f16])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_c,c_times(c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f30,f29])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_b),X2,t_b)=c_times(X0,c_times(X2,X1,t_b),t_b))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f18,f30])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f18,f31])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_c,c_times(v_ca,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)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f54])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_ca,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)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f55])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f17,f56])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 ~c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b)=c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b),t_b)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f18,f57])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 ~c_times(v_ca,c_times(c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),v_c,t_b),t_b)=c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b),t_b)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f34,f58])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 ~c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b),t_b)=c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),t_b),t_b)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f18,f59])).
% 0.10/0.40 fof(f77,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f76])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.044898 seconds
% 0.10/0.42 % CPU time: 0.145624 seconds
% 0.10/0.42 % Total memory used: 40.752 MB
% 0.10/0.42 % Net memory used: 40.323 MB
%------------------------------------------------------------------------------