TSTP Solution File: ANA022-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA022-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 : Fri May  3 02:05:33 EDT 2024

% Result   : Unsatisfiable 9.91s 2.19s
% Output   : CNFRefutation 9.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(v_k(X0),v_f(X0),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_50,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_51,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_52,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(c_53,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(X0,c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X0,X1) = c_uminus(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).

cnf(c_55,plain,
    ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | c_lessequals(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

cnf(c_56,plain,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
    | c_plus(c_0,X1,X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(c_57,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(X1,c_minus(X2,X3,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).

cnf(c_58,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(c_minus(X1,X3,X0),X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).

cnf(c_60,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | c_lessequals(c_minus(X0,X1,X2),c_0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

cnf(c_61,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

cnf(c_62,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_minus(X1,X1,X0) = c_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).

cnf(c_63,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).

cnf(c_64,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,X2,X0)
    | c_less(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).

cnf(c_65,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X1,X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

cnf(c_66,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_67,plain,
    ( ~ c_less(X0,X1,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

cnf(c_68,plain,
    ( ~ class_LOrder_Ojoin__semilorder(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

cnf(c_69,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

cnf(c_70,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

cnf(c_71,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Ocomm__monoid__add(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

cnf(c_72,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_73,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_LOrder_Ojoin__semilorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

cnf(c_74,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(c_75,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_78,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_LOrder_Ojoin__semilorder(t_b) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_83,plain,
    ( ~ class_LOrder_Ojoin__semilorder(t_b)
    | class_Orderings_Oorder(t_b) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_349,plain,
    ( X0 != X1
    | ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_plus(c_0,X2,X1) = X2 ),
    inference(resolution_lifted,[status(thm)],[c_71,c_56]) ).

cnf(c_350,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_plus(c_0,X1,X0) = X1 ),
    inference(unflattening,[status(thm)],[c_349]) ).

cnf(c_360,plain,
    ( X0 != X1
    | ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X1) ),
    inference(resolution_lifted,[status(thm)],[c_73,c_68]) ).

cnf(c_361,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    inference(unflattening,[status(thm)],[c_360]) ).

cnf(c_371,plain,
    ( X0 != X1
    | ~ c_lessequals(c_plus(X2,X3,X0),c_plus(X4,X3,X0),X0)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_lessequals(X2,X4,X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_70]) ).

cnf(c_372,plain,
    ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_lessequals(X0,X3,X2) ),
    inference(unflattening,[status(thm)],[c_371]) ).

cnf(c_386,plain,
    ( X0 != X1
    | X2 != X3
    | X4 != X5
    | ~ class_Orderings_Olinorder(X0)
    | ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X4,X0)
    | c_lessequals(X5,X3,X1) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_67]) ).

cnf(c_387,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | ~ class_Orderings_Oorder(X0)
    | c_lessequals(X1,X2,X0)
    | c_lessequals(X2,X1,X0) ),
    inference(unflattening,[status(thm)],[c_386]) ).

cnf(c_405,plain,
    ( X0 != t_b
    | class_Orderings_Oorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_361]) ).

cnf(c_406,plain,
    class_Orderings_Oorder(t_b),
    inference(unflattening,[status(thm)],[c_405]) ).

cnf(c_410,plain,
    ( X0 != t_b
    | c_plus(c_0,X1,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_51,c_350]) ).

cnf(c_411,plain,
    c_plus(c_0,X0,t_b) = X0,
    inference(unflattening,[status(thm)],[c_410]) ).

cnf(c_416,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_75]) ).

cnf(c_417,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_416]) ).

cnf(c_421,plain,
    ( X0 != t_b
    | class_OrderedGroup_Oab__group__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_74]) ).

cnf(c_422,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_421]) ).

cnf(c_426,plain,
    ( X0 != t_b
    | class_Orderings_Olinorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).

cnf(c_427,plain,
    class_Orderings_Olinorder(t_b),
    inference(unflattening,[status(thm)],[c_426]) ).

cnf(c_436,plain,
    ( X0 != t_b
    | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_63,c_422]) ).

cnf(c_437,plain,
    c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(unflattening,[status(thm)],[c_436]) ).

cnf(c_442,plain,
    ( X0 != t_b
    | c_minus(X1,X1,X0) = c_0 ),
    inference(resolution_lifted,[status(thm)],[c_62,c_422]) ).

cnf(c_443,plain,
    c_minus(X0,X0,t_b) = c_0,
    inference(unflattening,[status(thm)],[c_442]) ).

cnf(c_448,plain,
    ( X0 != t_b
    | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_422]) ).

cnf(c_449,plain,
    c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
    inference(unflattening,[status(thm)],[c_448]) ).

cnf(c_454,plain,
    ( X0 != t_b
    | c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(c_minus(X1,X3,X0),X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_422]) ).

cnf(c_455,plain,
    c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(c_minus(X0,X2,t_b),X1,t_b),
    inference(unflattening,[status(thm)],[c_454]) ).

cnf(c_460,plain,
    ( X0 != t_b
    | c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(X1,c_minus(X2,X3,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_422]) ).

cnf(c_461,plain,
    c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(X0,c_minus(X1,X2,t_b),t_b),
    inference(unflattening,[status(thm)],[c_460]) ).

cnf(c_483,plain,
    ( X0 != X1
    | ~ c_lessequals(X2,X3,X0)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_lessequals(c_minus(X2,X3,X0),c_0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_69]) ).

cnf(c_484,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
    | c_lessequals(c_minus(X0,X1,X2),c_0,X2) ),
    inference(unflattening,[status(thm)],[c_483]) ).

cnf(c_501,plain,
    ( X0 != t_b
    | ~ class_Orderings_Oorder(X0)
    | c_lessequals(X1,X2,X0)
    | c_lessequals(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_387,c_427]) ).

cnf(c_502,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | c_lessequals(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(unflattening,[status(thm)],[c_501]) ).

cnf(c_504,plain,
    ( c_lessequals(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(global_subsumption_just,[status(thm)],[c_502,c_51,c_78,c_83,c_502]) ).

cnf(c_513,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,X2,X0)
    | ~ c_lessequals(X3,X2,X0)
    | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_427]) ).

cnf(c_514,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X1,t_b)
    | c_lessequals(c_Orderings_Omax(X2,X0,t_b),X1,t_b) ),
    inference(unflattening,[status(thm)],[c_513]) ).

cnf(c_530,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,X2,X0)
    | ~ c_lessequals(X3,X1,X0)
    | c_lessequals(X3,X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_406]) ).

cnf(c_531,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X0,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(unflattening,[status(thm)],[c_530]) ).

cnf(c_544,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,c_0,X0)
    | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_417]) ).

cnf(c_545,plain,
    ( ~ c_lessequals(X0,c_0,t_b)
    | c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
    inference(unflattening,[status(thm)],[c_544]) ).

cnf(c_553,plain,
    ( X0 != t_b
    | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_417]) ).

cnf(c_554,plain,
    c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_HOL_Oabs(X0,t_b),
    inference(unflattening,[status(thm)],[c_553]) ).

cnf(c_559,plain,
    ( X0 != t_b
    | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_417]) ).

cnf(c_560,plain,
    c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
    inference(unflattening,[status(thm)],[c_559]) ).

cnf(c_565,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,X2,X0)
    | c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_417,c_484]) ).

cnf(c_566,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | c_lessequals(c_minus(X0,X1,t_b),c_0,t_b) ),
    inference(unflattening,[status(thm)],[c_565]) ).

cnf(c_574,plain,
    ( X0 != t_b
    | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
    | c_lessequals(X1,X3,X0) ),
    inference(resolution_lifted,[status(thm)],[c_417,c_372]) ).

cnf(c_575,plain,
    ( ~ c_lessequals(c_plus(X0,X1,t_b),c_plus(X2,X1,t_b),t_b)
    | c_lessequals(X0,X2,t_b) ),
    inference(unflattening,[status(thm)],[c_574]) ).

cnf(c_695,plain,
    v_k(v_x) = sP0_iProver_def,
    definition ).

cnf(c_696,plain,
    v_g(v_x) = sP1_iProver_def,
    definition ).

cnf(c_697,plain,
    c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
    definition ).

cnf(c_698,plain,
    c_Orderings_Omax(sP2_iProver_def,c_0,t_b) = sP3_iProver_def,
    definition ).

cnf(c_699,plain,
    v_f(v_x) = sP4_iProver_def,
    definition ).

cnf(c_700,plain,
    c_minus(sP4_iProver_def,sP1_iProver_def,t_b) = sP5_iProver_def,
    definition ).

cnf(c_701,plain,
    c_HOL_Oabs(sP5_iProver_def,t_b) = sP6_iProver_def,
    definition ).

cnf(c_702,negated_conjecture,
    ~ c_lessequals(sP3_iProver_def,sP6_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_50,c_699,c_700,c_701,c_696,c_695,c_697,c_698]) ).

cnf(c_703,negated_conjecture,
    c_lessequals(v_k(X0),v_f(X0),t_b),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_1005,plain,
    c_lessequals(sP0_iProver_def,v_f(v_x),t_b),
    inference(superposition,[status(thm)],[c_695,c_703]) ).

cnf(c_1006,plain,
    c_lessequals(sP0_iProver_def,sP4_iProver_def,t_b),
    inference(light_normalisation,[status(thm)],[c_1005,c_699]) ).

cnf(c_1009,plain,
    c_lessequals(c_0,sP6_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_701,c_560]) ).

cnf(c_1015,plain,
    c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(X0,c_minus(X2,X1,t_b),t_b),
    inference(superposition,[status(thm)],[c_437,c_449]) ).

cnf(c_1027,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP1_iProver_def,t_b)
    | c_lessequals(sP2_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_697,c_566]) ).

cnf(c_1060,plain,
    ( ~ c_lessequals(X0,v_k(X1),t_b)
    | c_lessequals(X0,v_f(X1),t_b) ),
    inference(superposition,[status(thm)],[c_703,c_531]) ).

cnf(c_1069,plain,
    ( ~ c_lessequals(X0,c_0,t_b)
    | c_lessequals(X0,sP6_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_1009,c_531]) ).

cnf(c_1100,plain,
    ( c_lessequals(v_k(X0),X1,t_b)
    | c_lessequals(X1,v_f(X0),t_b) ),
    inference(superposition,[status(thm)],[c_504,c_1060]) ).

cnf(c_1134,plain,
    ( c_lessequals(X0,v_f(v_x),t_b)
    | c_lessequals(sP0_iProver_def,X0,t_b) ),
    inference(superposition,[status(thm)],[c_695,c_1100]) ).

cnf(c_1140,plain,
    ( c_lessequals(X0,sP4_iProver_def,t_b)
    | c_lessequals(sP0_iProver_def,X0,t_b) ),
    inference(light_normalisation,[status(thm)],[c_1134,c_699]) ).

cnf(c_1181,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | ~ c_lessequals(sP2_iProver_def,X0,t_b)
    | c_lessequals(sP3_iProver_def,X0,t_b) ),
    inference(superposition,[status(thm)],[c_698,c_514]) ).

cnf(c_1187,plain,
    c_minus(sP1_iProver_def,sP4_iProver_def,t_b) = c_uminus(sP5_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_700,c_437]) ).

cnf(c_1389,plain,
    c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b),
    inference(superposition,[status(thm)],[c_443,c_455]) ).

cnf(c_1391,plain,
    c_minus(c_plus(sP0_iProver_def,X0,t_b),sP1_iProver_def,t_b) = c_plus(sP2_iProver_def,X0,t_b),
    inference(superposition,[status(thm)],[c_697,c_455]) ).

cnf(c_1392,plain,
    c_minus(c_plus(sP4_iProver_def,X0,t_b),sP1_iProver_def,t_b) = c_plus(sP5_iProver_def,X0,t_b),
    inference(superposition,[status(thm)],[c_700,c_455]) ).

cnf(c_1459,plain,
    c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
    inference(demodulation,[status(thm)],[c_461,c_1015]) ).

cnf(c_1464,plain,
    c_minus(c_0,c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(superposition,[status(thm)],[c_411,c_1459]) ).

cnf(c_1583,plain,
    ( c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
    | c_lessequals(sP2_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_1140,c_1027]) ).

cnf(c_1606,plain,
    ( ~ c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
    | c_lessequals(c_uminus(sP5_iProver_def,t_b),c_0,t_b) ),
    inference(superposition,[status(thm)],[c_1187,c_566]) ).

cnf(c_1607,plain,
    c_uminus(c_uminus(sP5_iProver_def,t_b),t_b) = c_minus(sP4_iProver_def,sP1_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_1187,c_437]) ).

cnf(c_1608,plain,
    c_uminus(c_uminus(sP5_iProver_def,t_b),t_b) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1607,c_700]) ).

cnf(c_2118,plain,
    c_minus(sP0_iProver_def,c_minus(sP1_iProver_def,X0,t_b),t_b) = c_plus(sP2_iProver_def,X0,t_b),
    inference(demodulation,[status(thm)],[c_1391,c_1459]) ).

cnf(c_2119,plain,
    c_minus(sP0_iProver_def,c_0,t_b) = c_plus(sP2_iProver_def,sP1_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_443,c_2118]) ).

cnf(c_2158,plain,
    c_minus(sP4_iProver_def,c_minus(sP1_iProver_def,X0,t_b),t_b) = c_plus(sP5_iProver_def,X0,t_b),
    inference(demodulation,[status(thm)],[c_1392,c_1459]) ).

cnf(c_2159,plain,
    c_minus(sP4_iProver_def,c_0,t_b) = c_plus(sP5_iProver_def,sP1_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_443,c_2158]) ).

cnf(c_2222,plain,
    ( ~ c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b)
    | c_lessequals(sP3_iProver_def,sP6_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_1009,c_1181]) ).

cnf(c_2231,plain,
    ~ c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_2222,c_702]) ).

cnf(c_3065,plain,
    ( c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
    | c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_1583,c_1069]) ).

cnf(c_3067,plain,
    c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_3065,c_2231]) ).

cnf(c_3098,plain,
    c_HOL_Oabs(c_uminus(sP5_iProver_def,t_b),t_b) = c_HOL_Oabs(sP5_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_1608,c_554]) ).

cnf(c_3099,plain,
    c_HOL_Oabs(c_uminus(sP5_iProver_def,t_b),t_b) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3098,c_701]) ).

cnf(c_5132,plain,
    c_lessequals(c_uminus(sP5_iProver_def,t_b),c_0,t_b),
    inference(global_subsumption_just,[status(thm)],[c_1606,c_1606,c_3067]) ).

cnf(c_5139,plain,
    c_HOL_Oabs(c_uminus(sP5_iProver_def,t_b),t_b) = c_uminus(c_uminus(sP5_iProver_def,t_b),t_b),
    inference(superposition,[status(thm)],[c_5132,c_545]) ).

cnf(c_5142,plain,
    sP5_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_5139,c_1608,c_3099]) ).

cnf(c_5160,plain,
    ~ c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_2231,c_5142]) ).

cnf(c_14796,plain,
    c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
    inference(demodulation,[status(thm)],[c_1389,c_411,c_1459]) ).

cnf(c_14821,plain,
    c_minus(X0,c_0,t_b) = X0,
    inference(superposition,[status(thm)],[c_14796,c_1464]) ).

cnf(c_14847,plain,
    c_plus(sP2_iProver_def,sP1_iProver_def,t_b) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_2119,c_14821]) ).

cnf(c_14855,plain,
    c_plus(sP5_iProver_def,sP1_iProver_def,t_b) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_2159,c_14821]) ).

cnf(c_15810,plain,
    ( ~ c_lessequals(sP0_iProver_def,c_plus(X0,sP1_iProver_def,t_b),t_b)
    | c_lessequals(sP2_iProver_def,X0,t_b) ),
    inference(superposition,[status(thm)],[c_14847,c_575]) ).

cnf(c_24579,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP4_iProver_def,t_b)
    | c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_14855,c_15810]) ).

cnf(c_24580,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_24579,c_5160,c_1006]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ANA022-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 19:44:05 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.91/2.19  % SZS status Started for theBenchmark.p
% 9.91/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.91/2.19  
% 9.91/2.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.91/2.19  
% 9.91/2.19  ------  iProver source info
% 9.91/2.19  
% 9.91/2.19  git: date: 2024-05-02 19:28:25 +0000
% 9.91/2.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.91/2.19  git: non_committed_changes: false
% 9.91/2.19  
% 9.91/2.19  ------ Parsing...successful
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 9.91/2.19  
% 9.91/2.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.91/2.19  
% 9.91/2.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.91/2.19  ------ Proving...
% 9.91/2.19  ------ Problem Properties 
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  clauses                                 24
% 9.91/2.19  conjectures                             2
% 9.91/2.19  EPR                                     3
% 9.91/2.19  Horn                                    23
% 9.91/2.19  unary                                   17
% 9.91/2.19  binary                                  5
% 9.91/2.19  lits                                    33
% 9.91/2.19  lits eq                                 15
% 9.91/2.19  fd_pure                                 0
% 9.91/2.19  fd_pseudo                               0
% 9.91/2.19  fd_cond                                 0
% 9.91/2.19  fd_pseudo_cond                          0
% 9.91/2.19  AC symbols                              0
% 9.91/2.19  
% 9.91/2.19  ------ Schedule dynamic 5 is on 
% 9.91/2.19  
% 9.91/2.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  ------ 
% 9.91/2.19  Current options:
% 9.91/2.19  ------ 
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  ------ Proving...
% 9.91/2.19  
% 9.91/2.19  
% 9.91/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.91/2.19  
% 9.91/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.91/2.19  
% 9.91/2.20  
%------------------------------------------------------------------------------