TSTP Solution File: ANA027-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA027-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:05:35 EDT 2024

% Result   : Unsatisfiable 72.33s 10.72s
% Output   : CNFRefutation 72.33s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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_72,plain,
    ( ~ c_less(X0,X1,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

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

cnf(c_75,negated_conjecture,
    c_lessequals(v_g(v_x),v_k(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_919,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).

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_2258,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__minus__cancel_0) ).

cnf(c_2260,plain,
    ( ~ c_lessequals(c_0,X0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).

cnf(c_2276,plain,
    ( c_minus(X0,X1,X2) != c_0
    | ~ class_OrderedGroup_Oab__group__add(X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).

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_2278,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/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

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_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_2329,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | X1 = c_0
    | c_less(c_0,c_HOL_Oabs(X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__less__abs__iff_1) ).

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_6253,plain,
    ( class_OrderedGroup_Olordered__ab__group__abs(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_919]) ).

cnf(c_6254,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(renaming,[status(thm)],[c_6253]) ).

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_56571,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_6254]) ).

cnf(c_56572,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_56571]) ).

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_207675,plain,
    v_f(v_x) = sP0_iProver_def,
    definition ).

cnf(c_207676,plain,
    v_g(v_x) = sP1_iProver_def,
    definition ).

cnf(c_207677,plain,
    c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
    definition ).

cnf(c_207678,plain,
    v_k(v_x) = sP3_iProver_def,
    definition ).

cnf(c_207679,plain,
    c_minus(sP0_iProver_def,sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_207680,negated_conjecture,
    ~ c_lessequals(c_0,sP2_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_76,c_207676,c_207675,c_207677]) ).

cnf(c_207681,negated_conjecture,
    c_lessequals(sP1_iProver_def,sP3_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_75,c_207678]) ).

cnf(c_207682,negated_conjecture,
    c_lessequals(c_0,sP4_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_74,c_207679]) ).

cnf(c_237321,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | c_less(sP2_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_69,c_207680]) ).

cnf(c_237341,plain,
    c_less(sP2_iProver_def,c_0,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_237321,c_56612]) ).

cnf(c_239294,plain,
    c_uminus(c_uminus(X0,t_b),t_b) = X0,
    inference(superposition,[status(thm)],[c_56592,c_2293]) ).

cnf(c_240496,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | c_lessequals(sP2_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_237341,c_72]) ).

cnf(c_240517,plain,
    c_lessequals(sP2_iProver_def,c_0,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_240496,c_56587]) ).

cnf(c_250226,plain,
    c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_HOL_Oabs(X0,t_b),
    inference(superposition,[status(thm)],[c_56572,c_2258]) ).

cnf(c_250426,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | c_uminus(X0,t_b) = c_0
    | c_less(c_0,c_HOL_Oabs(X0,t_b),t_b) ),
    inference(superposition,[status(thm)],[c_250226,c_2329]) ).

cnf(c_250432,plain,
    ( c_uminus(X0,t_b) = c_0
    | c_less(c_0,c_HOL_Oabs(X0,t_b),t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_250426,c_56572]) ).

cnf(c_250461,plain,
    ( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_0,t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | c_uminus(X0,t_b) = c_0 ),
    inference(superposition,[status(thm)],[c_250432,c_70]) ).

cnf(c_250469,plain,
    ( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_0,t_b)
    | c_uminus(X0,t_b) = c_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_250461,c_56612]) ).

cnf(c_250494,plain,
    ( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_0,t_b)
    | c_uminus(c_uminus(X0,t_b),t_b) = c_0 ),
    inference(superposition,[status(thm)],[c_250226,c_250469]) ).

cnf(c_250498,plain,
    ( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_0,t_b)
    | X0 = c_0 ),
    inference(light_normalisation,[status(thm)],[c_250494,c_239294]) ).

cnf(c_258094,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | c_HOL_Oabs(sP4_iProver_def,t_b) = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_207682,c_2260]) ).

cnf(c_258120,plain,
    c_HOL_Oabs(sP4_iProver_def,t_b) = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_258094,c_56572]) ).

cnf(c_258587,plain,
    ( ~ c_lessequals(sP4_iProver_def,c_0,t_b)
    | c_0 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_258120,c_250498]) ).

cnf(c_263309,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_263965,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_263309,c_2660]) ).

cnf(c_275722,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_263965,c_2607]) ).

cnf(c_275723,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_275722,c_56582]) ).

cnf(c_275738,plain,
    ( ~ class_Orderings_Oord(t_b)
    | c_less(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(superposition,[status(thm)],[c_275723,c_2646]) ).

cnf(c_275739,plain,
    ( c_less(X0,X1,t_b)
    | c_lessequals(X1,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275738,c_56582]) ).

cnf(c_277853,plain,
    ( c_0 != sP4_iProver_def
    | ~ class_OrderedGroup_Oab__group__add(t_b)
    | sP0_iProver_def = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_207679,c_2276]) ).

cnf(c_277876,plain,
    ( c_0 != sP4_iProver_def
    | sP0_iProver_def = sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_277853,c_56592]) ).

cnf(c_278042,plain,
    ( ~ c_lessequals(sP2_iProver_def,c_0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(sP0_iProver_def,sP1_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_207677,c_2277]) ).

cnf(c_278063,plain,
    c_lessequals(sP0_iProver_def,sP1_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_278042,c_56562,c_240517]) ).

cnf(c_278442,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP3_iProver_def,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(sP4_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_207679,c_2278]) ).

cnf(c_278485,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP3_iProver_def,t_b)
    | c_lessequals(sP4_iProver_def,c_0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_278442,c_56562]) ).

cnf(c_278645,plain,
    ( ~ c_less(sP2_iProver_def,c_0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_less(sP0_iProver_def,sP1_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_207677,c_2279]) ).

cnf(c_278662,plain,
    c_less(sP0_iProver_def,sP1_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_278645,c_56562,c_237341]) ).

cnf(c_278922,plain,
    ( ~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b)
    | ~ class_Orderings_Olinorder(t_b) ),
    inference(superposition,[status(thm)],[c_278662,c_70]) ).

cnf(c_278924,plain,
    ~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_278922,c_56612]) ).

cnf(c_278972,plain,
    ( c_less(sP3_iProver_def,sP0_iProver_def,t_b)
    | c_lessequals(sP4_iProver_def,c_0,t_b) ),
    inference(superposition,[status(thm)],[c_275739,c_278485]) ).

cnf(c_295195,plain,
    ( c_0 = sP4_iProver_def
    | c_less(sP3_iProver_def,sP0_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_278972,c_258587]) ).

cnf(c_309712,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP3_iProver_def,t_b)
    | ~ class_Orderings_Olinorder(t_b)
    | c_0 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_295195,c_70]) ).

cnf(c_309717,plain,
    ( ~ c_lessequals(sP0_iProver_def,sP3_iProver_def,t_b)
    | c_0 = sP4_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_309712,c_56612]) ).

cnf(c_311450,plain,
    ( ~ c_lessequals(X0,sP1_iProver_def,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | c_lessequals(X0,sP3_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_207681,c_71]) ).

cnf(c_311738,plain,
    ( ~ c_lessequals(X0,sP1_iProver_def,t_b)
    | c_lessequals(X0,sP3_iProver_def,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_311450,c_56587]) ).

cnf(c_326276,plain,
    c_lessequals(sP0_iProver_def,sP3_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_278063,c_311738]) ).

cnf(c_326313,plain,
    c_0 = sP4_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_309717,c_326276]) ).

cnf(c_326317,plain,
    sP0_iProver_def = sP3_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_277876,c_326313]) ).

cnf(c_327197,plain,
    c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_207681,c_326317]) ).

cnf(c_327198,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_327197,c_278924]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ANA027-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:19:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 72.33/10.72  % SZS status Started for theBenchmark.p
% 72.33/10.72  % SZS status Unsatisfiable for theBenchmark.p
% 72.33/10.72  
% 72.33/10.72  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.33/10.72  
% 72.33/10.72  ------  iProver source info
% 72.33/10.72  
% 72.33/10.72  git: date: 2024-05-02 19:28:25 +0000
% 72.33/10.72  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.33/10.72  git: non_committed_changes: false
% 72.33/10.72  
% 72.33/10.72  ------ Parsing...successful
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  ------ 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 
% 72.33/10.72  
% 72.33/10.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 72.33/10.72  
% 72.33/10.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 72.33/10.72  ------ Proving...
% 72.33/10.72  ------ Problem Properties 
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  clauses                                 1764
% 72.33/10.72  conjectures                             4
% 72.33/10.72  EPR                                     244
% 72.33/10.72  Horn                                    1556
% 72.33/10.72  unary                                   628
% 72.33/10.72  binary                                  756
% 72.33/10.72  lits                                    3380
% 72.33/10.72  lits eq                                 1145
% 72.33/10.72  fd_pure                                 0
% 72.33/10.72  fd_pseudo                               0
% 72.33/10.72  fd_cond                                 108
% 72.33/10.72  fd_pseudo_cond                          66
% 72.33/10.72  AC symbols                              0
% 72.33/10.72  
% 72.33/10.72  ------ Schedule dynamic 5 is on 
% 72.33/10.72  
% 72.33/10.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  ------ 
% 72.33/10.72  Current options:
% 72.33/10.72  ------ 
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  ------ Proving...
% 72.33/10.72  
% 72.33/10.72  
% 72.33/10.72  % SZS status Unsatisfiable for theBenchmark.p
% 72.33/10.72  
% 72.33/10.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.33/10.73  
% 72.33/10.73  
%------------------------------------------------------------------------------