TSTP Solution File: ALG374-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG374-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:04:38 EDT 2024

% Result   : Unsatisfiable 14.19s 2.72s
% Output   : CNFRefutation 14.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_127,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
    | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).

cnf(c_284,plain,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_2) ).

cnf(c_326,plain,
    c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).

cnf(c_348,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).

cnf(c_404,plain,
    c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).

cnf(c_420,plain,
    ( ~ c_lessequals(c_RealDef_Oreal(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Ozero__class_Ozero(tc_nat) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__of__nat__le__zero__cancel__iff_0) ).

cnf(c_447,plain,
    ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eq__neg_0) ).

cnf(c_493,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_s1_1) ).

cnf(c_494,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_s1_2) ).

cnf(c_536,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(c_606,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,X2,X0)
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(c_622,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).

cnf(c_636,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_n____),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_669,plain,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).

cnf(c_674,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).

cnf(c_675,plain,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).

cnf(c_676,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

cnf(c_679,plain,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).

cnf(c_690,plain,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

cnf(c_696,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(c_1183,plain,
    ( ~ class_Ring__and__Field_Oordered__semidom(X0)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
    inference(prop_impl_just,[status(thm)],[c_127]) ).

cnf(c_1184,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
    | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
    inference(renaming,[status(thm)],[c_1183]) ).

cnf(c_1329,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
    inference(prop_impl_just,[status(thm)],[c_348]) ).

cnf(c_1339,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X0)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    inference(prop_impl_just,[status(thm)],[c_622]) ).

cnf(c_1353,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_536]) ).

cnf(c_9113,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_1353,c_676]) ).

cnf(c_9114,plain,
    c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),
    inference(unflattening,[status(thm)],[c_9113]) ).

cnf(c_9498,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_447,c_669]) ).

cnf(c_9499,plain,
    ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_9498]) ).

cnf(c_9544,plain,
    ( X0 != tc_RealDef_Oreal
    | c_lessequals(X1,X2,X0)
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_606,c_696]) ).

cnf(c_9545,plain,
    ( c_lessequals(X0,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_9544]) ).

cnf(c_10689,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1339,c_690]) ).

cnf(c_10690,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
    inference(unflattening,[status(thm)],[c_10689]) ).

cnf(c_10713,plain,
    ( X0 != tc_RealDef_Oreal
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1329,c_690]) ).

cnf(c_10714,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
    inference(unflattening,[status(thm)],[c_10713]) ).

cnf(c_12411,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_1184,c_675]) ).

cnf(c_12412,plain,
    ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unflattening,[status(thm)],[c_12411]) ).

cnf(c_13330,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
    | ~ class_Ring__and__Field_Odivision__by__zero(X0)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_284,c_679]) ).

cnf(c_13331,plain,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
    | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_13330]) ).

cnf(c_13333,plain,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(global_subsumption_just,[status(thm)],[c_13331,c_674,c_13331]) ).

cnf(c_29483,plain,
    ( c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
    | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_9545]) ).

cnf(c_29484,plain,
    ( c_lessequals(X0,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(renaming,[status(thm)],[c_29483]) ).

cnf(c_29515,plain,
    ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_9499]) ).

cnf(c_34589,plain,
    c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) = sP0_iProver_def,
    definition ).

cnf(c_34590,plain,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = sP1_iProver_def,
    definition ).

cnf(c_34591,plain,
    c_Suc(v_n____) = sP2_iProver_def,
    definition ).

cnf(c_34592,plain,
    c_RealDef_Oreal(sP2_iProver_def,tc_nat) = sP3_iProver_def,
    definition ).

cnf(c_34593,plain,
    c_HOL_Oinverse__class_Odivide(sP1_iProver_def,sP3_iProver_def,tc_RealDef_Oreal) = sP4_iProver_def,
    definition ).

cnf(c_34594,plain,
    c_HOL_Oplus__class_Oplus(sP0_iProver_def,sP4_iProver_def,tc_RealDef_Oreal) = sP5_iProver_def,
    definition ).

cnf(c_34595,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),sP5_iProver_def,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(demodulation,[status(thm)],[c_636,c_34591,c_34592,c_34590,c_34593,c_34589,c_34594]) ).

cnf(c_41944,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != sP2_iProver_def,
    inference(superposition,[status(thm)],[c_34591,c_404]) ).

cnf(c_41952,plain,
    ~ c_lessequals(sP1_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(light_normalisation,[status(thm)],[c_12412,c_34590]) ).

cnf(c_42269,plain,
    c_HOL_Ouminus__class_Ouminus(sP0_iProver_def,tc_RealDef_Oreal) = v_s____,
    inference(superposition,[status(thm)],[c_34589,c_10690]) ).

cnf(c_42524,plain,
    c_HOL_Ominus__class_Ominus(X0,sP0_iProver_def,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,v_s____,tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_42269,c_326]) ).

cnf(c_43223,plain,
    ( ~ c_lessequals(sP3_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Ozero__class_Ozero(tc_nat) = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_34592,c_420]) ).

cnf(c_43225,plain,
    ~ c_lessequals(sP3_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_43223,c_41944]) ).

cnf(c_44504,plain,
    ( ~ c_lessequals(sP4_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(sP1_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(sP3_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_34593,c_13333]) ).

cnf(c_44506,plain,
    ~ c_lessequals(sP4_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_44504,c_43225,c_41952]) ).

cnf(c_46892,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X1,
    inference(superposition,[status(thm)],[c_9114,c_10714]) ).

cnf(c_48435,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_493,c_34589]) ).

cnf(c_49895,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_494,c_34589]) ).

cnf(c_49904,plain,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,sP5_iProver_def),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,sP5_iProver_def,tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_49895,c_34595]) ).

cnf(c_50143,plain,
    ~ c_HOL_Oord__class_Oless(sP0_iProver_def,sP5_iProver_def,tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_49904,c_48435]) ).

cnf(c_52693,plain,
    c_HOL_Ominus__class_Ominus(sP5_iProver_def,sP0_iProver_def,tc_RealDef_Oreal) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_34594,c_46892]) ).

cnf(c_52746,plain,
    c_HOL_Oplus__class_Oplus(sP5_iProver_def,v_s____,tc_RealDef_Oreal) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_52693,c_42524]) ).

cnf(c_52752,plain,
    ( ~ c_lessequals(sP5_iProver_def,c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(sP4_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_52746,c_29515]) ).

cnf(c_52787,plain,
    ( ~ c_lessequals(sP5_iProver_def,sP0_iProver_def,tc_RealDef_Oreal)
    | c_lessequals(sP4_iProver_def,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_52752,c_34589]) ).

cnf(c_52788,plain,
    ~ c_lessequals(sP5_iProver_def,sP0_iProver_def,tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_52787,c_44506]) ).

cnf(c_52851,plain,
    c_HOL_Oord__class_Oless(sP0_iProver_def,sP5_iProver_def,tc_RealDef_Oreal),
    inference(superposition,[status(thm)],[c_29484,c_52788]) ).

cnf(c_52852,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_52851,c_50143]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ALG374-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n029.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 23:11:37 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  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
% 14.19/2.72  % SZS status Started for theBenchmark.p
% 14.19/2.72  % SZS status Unsatisfiable for theBenchmark.p
% 14.19/2.72  
% 14.19/2.72  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.19/2.72  
% 14.19/2.72  ------  iProver source info
% 14.19/2.72  
% 14.19/2.72  git: date: 2024-05-02 19:28:25 +0000
% 14.19/2.72  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.19/2.72  git: non_committed_changes: false
% 14.19/2.72  
% 14.19/2.72  ------ Parsing...successful
% 14.19/2.72  
% 14.19/2.72  
% 14.19/2.72  
% 14.19/2.72  ------ Preprocessing... sup_sim: 14  sf_s  rm: 3 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: 61  sf_s  rm: 40 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 42 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 42 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 42 0s  sf_e  pe_s  pe_e 
% 14.19/2.72  
% 14.19/2.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 14.19/2.72  
% 14.19/2.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 14.19/2.72  ------ Proving...
% 14.19/2.72  ------ Problem Properties 
% 14.19/2.72  
% 14.19/2.72  
% 14.19/2.72  clauses                                 525
% 14.19/2.72  conjectures                             1
% 14.19/2.72  EPR                                     16
% 14.19/2.72  Horn                                    454
% 14.19/2.73  unary                                   184
% 14.19/2.73  binary                                  212
% 14.19/2.73  lits                                    1027
% 14.19/2.73  lits eq                                 279
% 14.19/2.73  fd_pure                                 0
% 14.19/2.73  fd_pseudo                               0
% 14.19/2.73  fd_cond                                 38
% 14.19/2.73  fd_pseudo_cond                          36
% 14.19/2.73  AC symbols                              0
% 14.19/2.73  
% 14.19/2.73  ------ Schedule dynamic 5 is on 
% 14.19/2.73  
% 14.19/2.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.19/2.73  
% 14.19/2.73  
% 14.19/2.73  ------ 
% 14.19/2.73  Current options:
% 14.19/2.73  ------ 
% 14.19/2.73  
% 14.19/2.73  
% 14.19/2.73  
% 14.19/2.73  
% 14.19/2.73  ------ Proving...
% 14.19/2.73  
% 14.19/2.73  
% 14.19/2.73  % SZS status Unsatisfiable for theBenchmark.p
% 14.19/2.73  
% 14.19/2.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.19/2.73  
% 14.19/2.73  
%------------------------------------------------------------------------------