%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA013-1 : 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 : n018.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 12:02:29 PM UTC 2026
% Result : Unsatisfiable 6.10s 3.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA013-1 : 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 : n018.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:25:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.24/0.48 % Drodi V4.1.1
% 6.10/3.21 % Refutation found
% 6.10/3.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.10/3.21 % SZS output start CNFRefutation for theBenchmark
% 6.10/3.21 fof(f1689,axiom,(
% 6.10/3.21 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f2339,axiom,(
% 6.10/3.21 (![T]: (( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)| class_Orderings_Oorder(T) ) ))),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f2441,axiom,(
% 6.10/3.21 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Oordered__comm__semiring__strict(T) ) ))),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f2781,axiom,(
% 6.10/3.21 (![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) ) ))),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f2784,negated_conjecture,(
% 6.10/3.21 (![V_U]: (~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ))),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f2785,negated_conjecture,(
% 6.10/3.21 class_Ring__and__Field_Oordered__idom(t_b) ),
% 6.10/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.10/3.21 fof(f5107,plain,(
% 6.10/3.21 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 6.10/3.21 inference(miniscoping,[status(thm)],[f1689])).
% 6.10/3.21 fof(f5108,plain,(
% 6.10/3.21 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f5107])).
% 6.10/3.21 fof(f5776,plain,(
% 6.10/3.21 ![X0]: (~class_Ring__and__Field_Oordered__comm__semiring__strict(X0)|class_Orderings_Oorder(X0))),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f2339])).
% 6.10/3.21 fof(f5878,plain,(
% 6.10/3.21 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Oordered__comm__semiring__strict(X0))),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f2441])).
% 6.10/3.21 fof(f6218,plain,(
% 6.10/3.21 ![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)))),
% 6.10/3.21 inference(miniscoping,[status(thm)],[f2781])).
% 6.10/3.21 fof(f6219,plain,(
% 6.10/3.21 ![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))),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f6218])).
% 6.10/3.21 fof(f6224,plain,(
% 6.10/3.21 ![X0]: (~c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b))),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f2784])).
% 6.10/3.21 fof(f6225,plain,(
% 6.10/3.21 class_Ring__and__Field_Oordered__idom(t_b)),
% 6.10/3.21 inference(cnf_transformation,[status(thm)],[f2785])).
% 6.10/3.21 fof(f6709,plain,(
% 6.10/3.21 ![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))),
% 6.10/3.21 inference(resolution,[status(thm)],[f6219,f6225])).
% 6.10/3.21 fof(f6795,plain,(
% 6.10/3.21 ![X0]: (~c_lessequals(c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b))),
% 6.10/3.21 inference(backward_demodulation,[status(thm)],[f6709,f6224])).
% 6.10/3.21 fof(f6947,plain,(
% 6.10/3.21 ![X0]: (~c_lessequals(c_HOL_Oabs(c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),c_HOL_Oabs(c_times(X0,v_f(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b))),
% 6.10/3.21 inference(paramodulation,[status(thm)],[f6709,f6795])).
% 6.10/3.21 fof(f18765,plain,(
% 6.10/3.21 class_Ring__and__Field_Oordered__comm__semiring__strict(t_b)),
% 6.10/3.21 inference(resolution,[status(thm)],[f5878,f6225])).
% 6.10/3.21 fof(f18782,plain,(
% 6.10/3.21 class_Orderings_Oorder(t_b)),
% 6.10/3.21 inference(resolution,[status(thm)],[f18765,f5776])).
% 6.10/3.21 fof(f24345,plain,(
% 6.10/3.21 ![X0]: (c_lessequals(X0,X0,t_b))),
% 6.10/3.21 inference(resolution,[status(thm)],[f5108,f18782])).
% 6.10/3.21 fof(f24350,plain,(
% 6.10/3.21 $false),
% 6.10/3.21 inference(resolution,[status(thm)],[f24345,f6947])).
% 6.10/3.21 % SZS output end CNFRefutation for theBenchmark.p
% 6.10/3.23 % Elapsed time: 2.851516 seconds
% 6.10/3.23 % CPU time: 21.389648 seconds
% 6.10/3.23 % Total memory used: 399.315 MB
% 6.10/3.23 % Net memory used: 389.493 MB
%------------------------------------------------------------------------------