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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : ANA039-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n017.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 : Tue May  5 04:09:23 PM UTC 2026

% Result   : Unsatisfiable 180.34s 133.34s
% Output   : CNFRefutation 180.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   74 (  21 unt;   3 nHn;  49 RR)
%            Number of literals    :  153 (   0 equ;  81 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :  143 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_45,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_45) ).

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

cnf(cls_SetInterval_OatLeast__iff__iff2_0,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff2_0) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_18,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).

cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff2_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Set_ODiffE_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_0) ).

cnf(cls_Set_ODiffI_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(cls_SetInterval_OatLeast__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff1_0) ).

cnf(cls_Set_OIntI_0,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntI_0) ).

cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

cnf(clsrel_Orderings_Oorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Oorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(cls_Set_OIntE_0,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_0) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff2_0) ).

cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
    ( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_0,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

cnf(cls_OrderedGroup_Oabs__ge__self_0,axiom,
    ( c_lessequals(X2,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).

cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff1_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_0_25,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_45 ).

cnf(c_0_26,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_a),
    tfree_tcs ).

cnf(c_0_27,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__iff__iff2_0 ).

cnf(c_0_28,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__ge__zero_0 ).

cnf(c_0_29,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_18 ).

cnf(c_0_30,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__iff__iff2_0 ).

cnf(c_0_31,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),
    cls_conjecture_0 ).

cnf(c_0_32,negated_conjecture,
    class_Orderings_Oord(t_a),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiffE_0 ).

cnf(c_0_34,plain,
    ( c_in(c_HOL_Oabs(X1,X2),c_SetInterval_OatLeast(c_0,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_35,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiffI_0 ).

cnf(c_0_36,negated_conjecture,
    c_in(c_HOL_Oabs(v_h(X1),t_a),c_SetInterval_OatMost(c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,axiom,
    ( class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_50 ).

cnf(c_0_38,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_in(c_HOL_Oabs(X2,X1),c_minus(X3,c_SetInterval_OatLeast(c_0,X1),tc_set(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( c_in(c_HOL_Oabs(v_h(X1),t_a),c_minus(c_SetInterval_OatMost(c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),X2,tc_set(t_a)),t_a)
    | c_in(c_HOL_Oabs(v_h(X1),t_a),X2,t_a) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(spm,[status(thm)],[c_0_37,c_0_26]) ).

cnf(c_0_41,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    cls_SetInterval_OatLeast__iff__iff1_0 ).

cnf(c_0_42,negated_conjecture,
    c_in(c_HOL_Oabs(v_h(X1),t_a),c_SetInterval_OatLeast(c_0,t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_43,negated_conjecture,
    c_lessequals(c_0,c_HOL_Oabs(v_h(X1),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).

cnf(c_0_44,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    cls_Set_OIntI_0 ).

cnf(c_0_45,negated_conjecture,
    c_in(c_0,c_SetInterval_OatMost(c_HOL_Oabs(v_h(X1),t_a),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_32])]) ).

cnf(c_0_46,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_Orderings_Oorder__class_Oaxioms__1_0 ).

cnf(c_0_47,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    clsrel_Orderings_Oorder_0 ).

cnf(c_0_48,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44 ).

cnf(c_0_49,negated_conjecture,
    ( c_in(c_0,c_inter(c_SetInterval_OatMost(c_HOL_Oabs(v_h(X1),t_a),t_a),X2,t_a),t_a)
    | ~ c_in(c_0,X2,t_a) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    ( c_in(X1,c_SetInterval_OatMost(X1,X2),X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    class_Orderings_Oorder(t_a),
    inference(spm,[status(thm)],[c_0_48,c_0_26]) ).

cnf(c_0_52,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OIntE_0 ).

cnf(c_0_53,negated_conjecture,
    c_in(c_0,c_inter(c_SetInterval_OatMost(c_HOL_Oabs(v_h(X1),t_a),t_a),c_SetInterval_OatMost(c_0,t_a),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_54,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    cls_Set_OsubsetD_0 ).

cnf(c_0_55,negated_conjecture,
    c_in(c_0,c_SetInterval_OatMost(c_0,t_a),t_a),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__subset__iff__iff2_0 ).

cnf(c_0_57,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_17 ).

cnf(c_0_58,negated_conjecture,
    ( c_in(c_0,X1,t_a)
    | ~ c_lessequals(c_SetInterval_OatMost(c_0,t_a),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    ( c_lessequals(c_SetInterval_OatMost(c_0,X1),c_SetInterval_OatMost(c_HOL_Oabs(X2,X1),X1),tc_set(X1))
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_57]) ).

cnf(c_0_60,axiom,
    ( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_0,X4,X1) ),
    cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0 ).

cnf(c_0_61,axiom,
    ( c_lessequals(X2,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__ge__self_0 ).

cnf(c_0_62,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    cls_SetInterval_OatMost__iff__iff1_0 ).

cnf(c_0_63,negated_conjecture,
    c_in(c_0,c_SetInterval_OatMost(c_HOL_Oabs(X1,t_a),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_40])]) ).

cnf(c_0_64,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_42 ).

cnf(c_0_65,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_Orderings_Oorder__class_Oorder__trans_0 ).

cnf(c_0_66,plain,
    ( c_lessequals(c_times(X1,X2,X3),c_times(c_HOL_Oabs(X1,X3),X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3)
    | ~ c_lessequals(c_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    c_lessequals(c_0,c_HOL_Oabs(X1,t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_32])]) ).

cnf(c_0_68,negated_conjecture,
    class_Ring__and__Field_Opordered__semiring(t_a),
    inference(spm,[status(thm)],[c_0_64,c_0_26]) ).

cnf(c_0_69,negated_conjecture,
    ( c_lessequals(c_HOL_Oabs(v_h(X1),t_a),X2,t_a)
    | ~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),X2,t_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_31]),c_0_51])]) ).

cnf(c_0_70,negated_conjecture,
    c_lessequals(c_times(X1,c_HOL_Oabs(X2,t_a),t_a),c_times(c_HOL_Oabs(X1,t_a),c_HOL_Oabs(X2,t_a),t_a),t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_40]),c_0_68])]) ).

cnf(c_0_71,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    cls_conjecture_2 ).

cnf(c_0_72,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ANA039-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n017.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 10:35:43 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 180.34/133.34  % Version  : CSE_E---1.7
% 180.34/133.34  % Problem  : theBenchmark.p
% 180.34/133.34  % SZS status Unsatisfiable for theBenchmark.p
% 180.34/133.34  % SZS output start CNFRefutation
% See solution above
% 180.74/133.79  % Total time : 115.392s
%------------------------------------------------------------------------------