TSTP Solution File: ANA023-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA023-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 17:18:05 EDT 2023

% Result   : Unsatisfiable 63.99s 9.74s
% Output   : CNFRefutation 63.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   98 (  24 unt;  19 nHn;  68 RR)
%            Number of literals    :  199 (  22 equ;  86 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :  113 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_69,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_less(X1,X2,X0)
    | c_lessequals(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).

cnf(c_70,plain,
    ( ~ c_less(X0,X1,X2)
    | ~ c_lessequals(X1,X0,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_1) ).

cnf(c_71,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_74,negated_conjecture,
    c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_75,negated_conjecture,
    c_lessequals(v_k(v_x),v_f(v_x),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_76,negated_conjecture,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_77,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_900,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_907,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(c_912,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(c_913,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oord(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_45) ).

cnf(c_922,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_53) ).

cnf(c_923,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).

cnf(c_2277,plain,
    ( ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | c_lessequals(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).

cnf(c_2279,plain,
    ( ~ c_less(c_minus(X0,X1,X2),c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | c_less(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__less__0__iff__less_0) ).

cnf(c_2292,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__diff__eq_0) ).

cnf(c_2293,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_uminus(c_uminus(X1,X0),X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).

cnf(c_2298,plain,
    ( ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_lessequals(X0,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_0) ).

cnf(c_2299,plain,
    ( ~ c_lessequals(X0,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_lessequals(c_0,c_uminus(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).

cnf(c_2300,plain,
    ( ~ c_less(c_0,c_uminus(X0,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_less(X0,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__less__iff__less_0) ).

cnf(c_2310,plain,
    ( ~ c_less(c_uminus(X0,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_less(c_0,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__0__iff__less_0) ).

cnf(c_2317,plain,
    ( ~ c_lessequals(X0,c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_OrderedGroup_Onprt(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__eq__id_0) ).

cnf(c_2318,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group(X0)
    | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__le__zero_0) ).

cnf(c_2591,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__atLeast_0) ).

cnf(c_2607,plain,
    ( ~ c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
    | ~ class_Orderings_Oord(X2)
    | c_lessequals(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeast__iff_0) ).

cnf(c_2646,plain,
    ( ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
    | ~ class_Orderings_Oord(X2)
    | c_less(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__iff_0) ).

cnf(c_2660,plain,
    ( c_in(X0,c_uminus(X1,tc_set(X2)),X2)
    | c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__iff_1) ).

cnf(c_4607,plain,
    ( class_OrderedGroup_Oab__group__add(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_907]) ).

cnf(c_4608,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Oab__group__add(X0) ),
    inference(renaming,[status(thm)],[c_4607]) ).

cnf(c_4659,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_923]) ).

cnf(c_4660,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    inference(renaming,[status(thm)],[c_4659]) ).

cnf(c_4837,plain,
    ( class_Orderings_Olinorder(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_900]) ).

cnf(c_4838,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Olinorder(X0) ),
    inference(renaming,[status(thm)],[c_4837]) ).

cnf(c_4887,plain,
    ( class_Orderings_Oorder(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_912]) ).

cnf(c_4888,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    inference(renaming,[status(thm)],[c_4887]) ).

cnf(c_6149,plain,
    ( class_OrderedGroup_Olordered__ab__group(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_922]) ).

cnf(c_6150,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group(X0) ),
    inference(renaming,[status(thm)],[c_6149]) ).

cnf(c_7581,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oord(X0) ),
    inference(prop_impl_just,[status(thm)],[c_913]) ).

cnf(c_56561,plain,
    ( X0 != t_b
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_4660]) ).

cnf(c_56562,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_56561]) ).

cnf(c_56566,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_6150]) ).

cnf(c_56567,plain,
    class_OrderedGroup_Olordered__ab__group(t_b),
    inference(unflattening,[status(thm)],[c_56566]) ).

cnf(c_56581,plain,
    ( X0 != t_b
    | class_Orderings_Oord(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_7581]) ).

cnf(c_56582,plain,
    class_Orderings_Oord(t_b),
    inference(unflattening,[status(thm)],[c_56581]) ).

cnf(c_56586,plain,
    ( X0 != t_b
    | class_Orderings_Oorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_4888]) ).

cnf(c_56587,plain,
    class_Orderings_Oorder(t_b),
    inference(unflattening,[status(thm)],[c_56586]) ).

cnf(c_56591,plain,
    ( X0 != t_b
    | class_OrderedGroup_Oab__group__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_4608]) ).

cnf(c_56592,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_56591]) ).

cnf(c_56611,plain,
    ( X0 != t_b
    | class_Orderings_Olinorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_4838]) ).

cnf(c_56612,plain,
    class_Orderings_Olinorder(t_b),
    inference(unflattening,[status(thm)],[c_56611]) ).

cnf(c_237210,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | c_less(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b) ),
    inference(superposition,[status(thm)],[c_69,c_76]) ).

cnf(c_237250,plain,
    c_less(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_237210,c_56612]) ).

cnf(c_239253,plain,
    c_uminus(c_uminus(X0,t_b),t_b) = X0,
    inference(superposition,[status(thm)],[c_56592,c_2293]) ).

cnf(c_258598,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(c_uminus(X0,t_b),c_0,t_b) ),
    inference(superposition,[status(thm)],[c_239253,c_2298]) ).

cnf(c_258617,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | c_lessequals(c_uminus(X0,t_b),c_0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258598,c_56562]) ).

cnf(c_258690,plain,
    ( ~ c_lessequals(c_uminus(X0,t_b),c_0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(superposition,[status(thm)],[c_239253,c_2299]) ).

cnf(c_258698,plain,
    ( ~ c_lessequals(c_uminus(X0,t_b),c_0,t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258690,c_56562]) ).

cnf(c_258962,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | c_less(c_0,c_uminus(X0,t_b),t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(superposition,[status(thm)],[c_69,c_258698]) ).

cnf(c_258968,plain,
    ( c_less(c_0,c_uminus(X0,t_b),t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258962,c_56612]) ).

cnf(c_258980,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(X0,c_0,t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(superposition,[status(thm)],[c_258968,c_2300]) ).

cnf(c_258983,plain,
    ( c_less(X0,c_0,t_b)
    | c_lessequals(c_0,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258980,c_56562]) ).

cnf(c_258999,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(c_uminus(X0,t_b),c_0,t_b)
    | c_lessequals(X0,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_258983,c_2298]) ).

cnf(c_259002,plain,
    ( c_less(c_uminus(X0,t_b),c_0,t_b)
    | c_lessequals(X0,c_0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258999,c_56562]) ).

cnf(c_259277,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(c_0,X0,t_b)
    | c_lessequals(X0,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_259002,c_2310]) ).

cnf(c_259288,plain,
    ( c_less(c_0,X0,t_b)
    | c_lessequals(X0,c_0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259277,c_56562]) ).

cnf(c_259949,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group(t_b)
    | c_OrderedGroup_Onprt(X0,t_b) = X0
    | c_less(c_0,X0,t_b) ),
    inference(superposition,[status(thm)],[c_259288,c_2317]) ).

cnf(c_259958,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | ~ class_OrderedGroup_Olordered__ab__group(t_b)
    | c_OrderedGroup_Onprt(c_uminus(X0,t_b),t_b) = c_uminus(X0,t_b) ),
    inference(superposition,[status(thm)],[c_258617,c_2317]) ).

cnf(c_260019,plain,
    ( c_OrderedGroup_Onprt(X0,t_b) = X0
    | c_less(c_0,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259949,c_56567]) ).

cnf(c_260089,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | c_OrderedGroup_Onprt(c_uminus(X0,t_b),t_b) = c_uminus(X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259958,c_56567]) ).

cnf(c_261544,plain,
    ( ~ c_lessequals(X0,c_0,t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | c_OrderedGroup_Onprt(X0,t_b) = X0 ),
    inference(superposition,[status(thm)],[c_260019,c_70]) ).

cnf(c_261551,plain,
    ( ~ c_lessequals(X0,c_0,t_b)
    | c_OrderedGroup_Onprt(X0,t_b) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261544,c_56612]) ).

cnf(c_262848,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group(t_b)
    | c_OrderedGroup_Onprt(c_OrderedGroup_Onprt(X0,t_b),t_b) = c_OrderedGroup_Onprt(X0,t_b) ),
    inference(superposition,[status(thm)],[c_2318,c_261551]) ).

cnf(c_262870,plain,
    c_OrderedGroup_Onprt(c_OrderedGroup_Onprt(X0,t_b),t_b) = c_OrderedGroup_Onprt(X0,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_262848,c_56567]) ).

cnf(c_262886,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group(t_b)
    | c_lessequals(c_OrderedGroup_Onprt(X0,t_b),c_0,t_b) ),
    inference(superposition,[status(thm)],[c_262870,c_2318]) ).

cnf(c_262887,plain,
    c_lessequals(c_OrderedGroup_Onprt(X0,t_b),c_0,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_262886,c_56567]) ).

cnf(c_263145,plain,
    c_uminus(c_SetInterval_OatLeast(X0,t_b),tc_set(t_b)) = c_SetInterval_OlessThan(X0,t_b),
    inference(superposition,[status(thm)],[c_56612,c_2591]) ).

cnf(c_263292,plain,
    ( c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
    | c_in(X0,c_SetInterval_OatLeast(X1,t_b),t_b) ),
    inference(superposition,[status(thm)],[c_263145,c_2660]) ).

cnf(c_266665,plain,
    c_OrderedGroup_Onprt(c_uminus(c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b) = c_uminus(c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
    inference(superposition,[status(thm)],[c_74,c_260089]) ).

cnf(c_266718,plain,
    c_lessequals(c_uminus(c_minus(v_k(v_x),v_g(v_x),t_b),t_b),c_0,t_b),
    inference(superposition,[status(thm)],[c_266665,c_262887]) ).

cnf(c_272367,plain,
    ( ~ class_Orderings_Oord(t_b)
    | c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(superposition,[status(thm)],[c_263292,c_2607]) ).

cnf(c_272368,plain,
    ( c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_272367,c_56582]) ).

cnf(c_272383,plain,
    ( ~ class_Orderings_Oord(t_b)
    | c_less(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(superposition,[status(thm)],[c_272368,c_2646]) ).

cnf(c_272384,plain,
    ( c_less(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_272383,c_56582]) ).

cnf(c_275929,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(c_0,c_minus(X0,X1,t_b),t_b)
    | c_lessequals(X0,X1,t_b) ),
    inference(superposition,[status(thm)],[c_272384,c_2277]) ).

cnf(c_276010,plain,
    ( c_less(c_0,c_minus(X0,X1,t_b),t_b)
    | c_lessequals(X0,X1,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275929,c_56562]) ).

cnf(c_276294,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(v_f(v_x),v_g(v_x),t_b) ),
    inference(superposition,[status(thm)],[c_237250,c_2279]) ).

cnf(c_276324,plain,
    c_less(v_f(v_x),v_g(v_x),t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_276294,c_56562]) ).

cnf(c_276386,plain,
    ( ~ c_lessequals(v_g(v_x),v_f(v_x),t_b)
    | ~ class_Orderings_Olinorder(t_b) ),
    inference(superposition,[status(thm)],[c_276324,c_70]) ).

cnf(c_276388,plain,
    ~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_276386,c_56612]) ).

cnf(c_276410,plain,
    ( ~ c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | c_lessequals(X0,X1,t_b) ),
    inference(superposition,[status(thm)],[c_276010,c_70]) ).

cnf(c_276426,plain,
    ( ~ c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)
    | c_lessequals(X0,X1,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_276410,c_56612]) ).

cnf(c_277735,plain,
    c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(superposition,[status(thm)],[c_56592,c_2292]) ).

cnf(c_277741,plain,
    c_lessequals(c_minus(v_g(v_x),v_k(v_x),t_b),c_0,t_b),
    inference(demodulation,[status(thm)],[c_266718,c_277735]) ).

cnf(c_311773,plain,
    ( ~ c_lessequals(X0,v_k(v_x),t_b)
    | ~ class_Orderings_Oorder(t_b)
    | c_lessequals(X0,v_f(v_x),t_b) ),
    inference(superposition,[status(thm)],[c_75,c_71]) ).

cnf(c_312257,plain,
    ( ~ c_lessequals(X0,v_k(v_x),t_b)
    | c_lessequals(X0,v_f(v_x),t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_311773,c_56587]) ).

cnf(c_315432,plain,
    c_lessequals(v_g(v_x),v_k(v_x),t_b),
    inference(superposition,[status(thm)],[c_277741,c_276426]) ).

cnf(c_317418,plain,
    c_lessequals(v_g(v_x),v_f(v_x),t_b),
    inference(superposition,[status(thm)],[c_315432,c_312257]) ).

cnf(c_317419,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_317418,c_276388]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA023-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 18:28:48 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 63.99/9.74  % SZS status Started for theBenchmark.p
% 63.99/9.74  % SZS status Unsatisfiable for theBenchmark.p
% 63.99/9.74  
% 63.99/9.74  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 63.99/9.74  
% 63.99/9.74  ------  iProver source info
% 63.99/9.74  
% 63.99/9.74  git: date: 2023-05-31 18:12:56 +0000
% 63.99/9.74  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 63.99/9.74  git: non_committed_changes: false
% 63.99/9.74  git: last_make_outside_of_git: false
% 63.99/9.74  
% 63.99/9.74  ------ Parsing...successful
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  ------ Preprocessing... sup_sim: 108  sf_s  rm: 375 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 60  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e 
% 63.99/9.74  
% 63.99/9.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 63.99/9.74  
% 63.99/9.74  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 63.99/9.74  ------ Proving...
% 63.99/9.74  ------ Problem Properties 
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  clauses                                 1759
% 63.99/9.74  conjectures                             4
% 63.99/9.74  EPR                                     241
% 63.99/9.74  Horn                                    1551
% 63.99/9.74  unary                                   623
% 63.99/9.74  binary                                  756
% 63.99/9.74  lits                                    3375
% 63.99/9.74  lits eq                                 1140
% 63.99/9.74  fd_pure                                 0
% 63.99/9.74  fd_pseudo                               0
% 63.99/9.74  fd_cond                                 108
% 63.99/9.74  fd_pseudo_cond                          66
% 63.99/9.74  AC symbols                              0
% 63.99/9.74  
% 63.99/9.74  ------ Schedule dynamic 5 is on 
% 63.99/9.74  
% 63.99/9.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  ------ 
% 63.99/9.74  Current options:
% 63.99/9.74  ------ 
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  ------ Proving...
% 63.99/9.74  
% 63.99/9.74  
% 63.99/9.74  % SZS status Unsatisfiable for theBenchmark.p
% 63.99/9.74  
% 63.99/9.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 63.99/9.74  
% 63.99/9.74  
%------------------------------------------------------------------------------