%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA034-2 : 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 : n008.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 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA034-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:26:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (![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) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (![T_a,V_c,V_d,V_a,V_b]: (( ~ class_Ring__and__Field_Opordered__semiring(T_a)| ~ c_lessequals(V_c,V_d,T_a)| ~ c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_0,V_c,T_a)| ~ c_lessequals(c_0,V_b,T_a)| c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_d,T_a),T_a) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)| ~ c_lessequals(c_0,V_b,T_a)| ~ c_lessequals(c_0,V_a,T_a)| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 (![T_a,V_x,V_y]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_y,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (![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) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 c_less(c_0,v_c,t_b) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 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) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,negated_conjecture,(
% 0.11/0.40 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) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,negated_conjecture,(
% 0.11/0.40 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) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 ~ 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) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,axiom,(
% 0.11/0.40 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_Orderings_Oorder(T) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,axiom,(
% 0.11/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__cancel__semiring(T) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,axiom,(
% 0.11/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,axiom,(
% 0.11/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,plain,(
% 0.11/0.40 ![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)))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.40 fof(f17,plain,(
% 0.11/0.40 ![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))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f18,plain,(
% 0.11/0.40 ![X0,X1,X2,X3,X4]: (~class_Ring__and__Field_Opordered__semiring(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X4,X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X4,X0)|c_lessequals(c_times(X3,X1,X0),c_times(X4,X2,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f19,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~class_Ring__and__Field_Opordered__cancel__semiring(X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X2,X0)|c_lessequals(c_0,c_times(X2,X1,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f20,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f21,plain,(
% 0.11/0.40 ![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)))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.11/0.40 fof(f22,plain,(
% 0.11/0.40 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f23,plain,(
% 0.11/0.40 c_less(c_0,v_c,t_b)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f24,plain,(
% 0.11/0.40 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)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f25,plain,(
% 0.11/0.40 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)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f26,plain,(
% 0.11/0.40 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)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f27,plain,(
% 0.11/0.40 ~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)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.40 fof(f28,plain,(
% 0.11/0.40 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f29,plain,(
% 0.11/0.40 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_Orderings_Oorder(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f30,plain,(
% 0.11/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__cancel__semiring(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f31,plain,(
% 0.11/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.40 fof(f32,plain,(
% 0.11/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f33,plain,(
% 0.11/0.40 ![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))),
% 0.11/0.40 inference(resolution,[status(thm)],[f17,f28])).
% 0.11/0.40 fof(f34,plain,(
% 0.11/0.40 class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.11/0.40 inference(resolution,[status(thm)],[f30,f28])).
% 0.11/0.40 fof(f35,plain,(
% 0.11/0.40 class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.11/0.40 inference(resolution,[status(thm)],[f31,f28])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 ~class_Orderings_Oorder(t_b)|c_lessequals(c_0,v_c,t_b)),
% 0.11/0.40 inference(resolution,[status(thm)],[f23,f20])).
% 0.11/0.40 fof(f37,definition,(
% 0.11/0.40 sQ0_spl <=> (class_Orderings_Oorder(t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 ~class_Orderings_Oorder(t_b)|sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f37])).
% 0.11/0.40 fof(f40,definition,(
% 0.11/0.40 sQ1_spl <=> (c_lessequals(c_0,v_c,t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f41,plain,(
% 0.11/0.40 c_lessequals(c_0,v_c,t_b)|~sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f40])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 ~sQ0_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f36,f37,f40])).
% 0.11/0.40 fof(f48,definition,(
% 0.11/0.40 sQ2_spl <=> (class_Ring__and__Field_Opordered__semiring(t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 ~class_Ring__and__Field_Opordered__semiring(t_b)|sQ2_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f48])).
% 0.11/0.40 fof(f54,definition,(
% 0.11/0.40 sQ4_spl <=> (c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f56,plain,(
% 0.11/0.40 ~c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)|sQ4_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f54])).
% 0.11/0.40 fof(f70,plain,(
% 0.11/0.40 $false|sQ2_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f50,f35])).
% 0.11/0.40 fof(f71,plain,(
% 0.11/0.40 sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f70])).
% 0.11/0.40 fof(f72,plain,(
% 0.11/0.40 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.11/0.40 inference(resolution,[status(thm)],[f32,f28])).
% 0.11/0.40 fof(f76,plain,(
% 0.11/0.40 ![X0,X1]: (~class_Ring__and__Field_Opordered__semiring(t_b)|~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b))),
% 0.11/0.40 inference(resolution,[status(thm)],[f25,f18])).
% 0.11/0.40 fof(f77,definition,(
% 0.11/0.40 sQ8_spl <=> (c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f79,plain,(
% 0.11/0.40 ~c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)|sQ8_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.11/0.40 fof(f92,definition,(
% 0.11/0.40 ![X0,X1]: (sQ12_spl <=> (~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f93,plain,(
% 0.11/0.40 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)|~sQ12_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f92])).
% 0.11/0.40 fof(f95,plain,(
% 0.11/0.40 ~sQ2_spl|sQ12_spl|~sQ8_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f76,f48,f92,f77])).
% 0.11/0.40 fof(f96,plain,(
% 0.11/0.40 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.11/0.40 inference(resolution,[status(thm)],[f72,f22])).
% 0.11/0.40 fof(f97,plain,(
% 0.11/0.40 class_Orderings_Oorder(t_b)),
% 0.11/0.40 inference(resolution,[status(thm)],[f72,f29])).
% 0.11/0.40 fof(f98,plain,(
% 0.11/0.40 $false|sQ8_spl),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f79,f96])).
% 0.11/0.40 fof(f100,plain,(
% 0.11/0.40 $false|sQ0_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f97,f39])).
% 0.11/0.40 fof(f101,plain,(
% 0.11/0.40 sQ0_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f100])).
% 0.11/0.40 fof(f102,plain,(
% 0.11/0.40 sQ8_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f98])).
% 0.11/0.40 fof(f105,plain,(
% 0.11/0.40 ![X0]: (~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(v_c,X0,t_b),t_b)|~sQ1_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f41,f19])).
% 0.11/0.40 fof(f116,definition,(
% 0.11/0.40 sQ13_spl <=> (class_Ring__and__Field_Opordered__cancel__semiring(t_b))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f118,plain,(
% 0.11/0.40 ~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|sQ13_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.40 fof(f123,definition,(
% 0.11/0.40 ![X0]: (sQ15_spl <=> (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(v_c,X0,t_b),t_b)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f124,plain,(
% 0.11/0.40 ![X0]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(v_c,X0,t_b),t_b)|~sQ15_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.11/0.40 fof(f126,plain,(
% 0.11/0.40 ~sQ13_spl|sQ15_spl|~sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f105,f116,f123,f40])).
% 0.11/0.40 fof(f161,plain,(
% 0.11/0.40 $false|sQ13_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f118,f34])).
% 0.11/0.40 fof(f162,plain,(
% 0.11/0.40 sQ13_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f161])).
% 0.11/0.40 fof(f273,plain,(
% 0.11/0.40 ~c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)|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)|~sQ12_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f93,f24])).
% 0.11/0.40 fof(f286,definition,(
% 0.11/0.40 sQ44_spl <=> (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))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f287,plain,(
% 0.11/0.40 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)|~sQ44_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f286])).
% 0.11/0.40 fof(f289,plain,(
% 0.11/0.40 ~sQ4_spl|sQ44_spl|~sQ12_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f273,f54,f286,f92])).
% 0.11/0.40 fof(f291,plain,(
% 0.11/0.40 ![X0]: (c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b)|~sQ15_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f124,f96])).
% 0.11/0.40 fof(f293,plain,(
% 0.11/0.40 $false|~sQ15_spl|sQ4_spl),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f56,f291])).
% 0.11/0.40 fof(f294,plain,(
% 0.11/0.40 ~sQ15_spl|sQ4_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f293])).
% 0.11/0.40 fof(f296,plain,(
% 0.11/0.40 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)|~sQ44_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f33,f287])).
% 0.11/0.40 fof(f297,plain,(
% 0.11/0.40 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)|~sQ44_spl),
% 0.11/0.40 inference(forward_demodulation,[status(thm)],[f26,f296])).
% 0.11/0.40 fof(f298,plain,(
% 0.11/0.40 $false|~sQ44_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f297,f27])).
% 0.11/0.40 fof(f299,plain,(
% 0.11/0.40 ~sQ44_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f298])).
% 0.11/0.40 fof(f300,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f43,f71,f95,f101,f102,f126,f162,f289,f294,f299])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.064474 seconds
% 0.14/0.44 % CPU time: 0.170132 seconds
% 0.14/0.44 % Total memory used: 34.082 MB
% 0.14/0.44 % Net memory used: 33.902 MB
%------------------------------------------------------------------------------