%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV281-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 05:21:26 PM UTC 2026
% Result : Unsatisfiable 6.97s 4.81s
% Output : CNFRefutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of clauses : 75 ( 41 unt; 6 nHn; 48 RR)
% Number of literals : 121 ( 56 equ; 50 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 92 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_IntDiv_Ozdiv__1_0,axiom,
c_div(X1,c_1,tc_IntDef_Oint) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__1_0) ).
cnf(cls_IntDiv_Ozdiv__zmult__self1_0,axiom,
( X1 = c_0
| c_div(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zmult__self1_0) ).
cnf(cls_IntDef_Oint__0__neq__1_0,axiom,
c_0 != c_1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__0__neq__1_0) ).
cnf(cls_Numeral_Omult__minus1_0,axiom,
( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
| ~ class_Numeral_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Omult__minus1_0) ).
cnf(clsarity_IntDef__Oint_60,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_60) ).
cnf(cls_IntDiv_Ozdiv__zminus__zminus_0,axiom,
c_div(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(X1,X2,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zminus__zminus_0) ).
cnf(cls_IntDiv_Ozdiv__minus1__right_0,axiom,
c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(X1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__minus1__right_0) ).
cnf(cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0,axiom,
( c_plus(c_uminus(X2,X1),X2,X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0) ).
cnf(cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0,axiom,
c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(X1,X2,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0) ).
cnf(clsarity_IntDef__Oint_17,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_17) ).
cnf(cls_IntDef_Oint__le__0__conv_1,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__le__0__conv_1) ).
cnf(cls_IntDef_Oint__eq__0__conv_1,axiom,
c_IntDef_Oint(c_0) = c_0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__eq__0__conv_1) ).
cnf(cls_OrderedGroup_Odiff__le__0__iff__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_minus(X2,X3,X1),c_0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).
cnf(clsarity_IntDef__Oint_47,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_47) ).
cnf(cls_NatArith_Oof__nat__le__iff_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__le__iff_0) ).
cnf(clsarity_IntDef__Oint_56,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_56) ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_IntDef_Onegative__eq__positive_0,axiom,
( X1 = c_0
| c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onegative__eq__positive_0) ).
cnf(cls_IntDef_Oint__1_0,axiom,
c_IntDef_Oint(c_1) = c_1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__1_0) ).
cnf(cls_IntDef_Oint__nat__eq_0,axiom,
( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
| ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__nat__eq_0) ).
cnf(cls_OrderedGroup_Oneg__equal__0__iff__equal_0,axiom,
( X2 = c_0
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(X2,X1) != c_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__equal__0__iff__equal_0) ).
cnf(cls_Nat_Ole__add2_0,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
cnf(cls_OrderedGroup_Oneg__0__le__iff__le_1,axiom,
( c_lessequals(c_0,c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).
cnf(cls_OrderedGroup_Oneg__0__le__iff__le_0,axiom,
( c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_0) ).
cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
( X1 = X3
| c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__right__cancel_0) ).
cnf(c_0_26,axiom,
c_div(X1,c_1,tc_IntDef_Oint) = X1,
cls_IntDiv_Ozdiv__1_0 ).
cnf(c_0_27,axiom,
( X1 = c_0
| c_div(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
cls_IntDiv_Ozdiv__zmult__self1_0 ).
cnf(c_0_28,axiom,
c_0 != c_1,
cls_IntDef_Oint__0__neq__1_0 ).
cnf(c_0_29,axiom,
( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
| ~ class_Numeral_Onumber__ring(X1) ),
cls_Numeral_Omult__minus1_0 ).
cnf(c_0_30,plain,
c_times(X1,c_1,tc_IntDef_Oint) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
clsarity_IntDef__Oint_60 ).
cnf(c_0_32,axiom,
c_div(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(X1,X2,tc_IntDef_Oint),
cls_IntDiv_Ozdiv__zminus__zminus_0 ).
cnf(c_0_33,plain,
c_uminus(c_1,tc_IntDef_Oint) = c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_34,axiom,
c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(X1,tc_IntDef_Oint),
cls_IntDiv_Ozdiv__minus1__right_0 ).
cnf(c_0_35,axiom,
( c_plus(c_uminus(X2,X1),X2,X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0 ).
cnf(c_0_36,plain,
c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_26]) ).
cnf(c_0_37,axiom,
c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(X1,X2,tc_IntDef_Oint),
cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0 ).
cnf(c_0_38,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
clsarity_IntDef__Oint_17 ).
cnf(c_0_39,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
cls_IntDef_Oint__le__0__conv_1 ).
cnf(c_0_40,axiom,
c_IntDef_Oint(c_0) = c_0,
cls_IntDef_Oint__eq__0__conv_1 ).
cnf(c_0_41,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_minus(X2,X3,X1),c_0,X1) ),
cls_OrderedGroup_Odiff__le__0__iff__le_0 ).
cnf(c_0_42,plain,
c_minus(X1,X1,tc_IntDef_Oint) = c_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_43,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
clsarity_IntDef__Oint_47 ).
cnf(c_0_44,plain,
c_lessequals(c_0,c_0,tc_IntDef_Oint),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
cls_NatArith_Oof__nat__le__iff_0 ).
cnf(c_0_46,plain,
c_lessequals(X1,X1,tc_IntDef_Oint),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_47,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
clsarity_IntDef__Oint_56 ).
cnf(c_0_48,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
cls_Public_ONonce__supply__lemma_0 ).
cnf(c_0_49,plain,
c_lessequals(X1,X1,tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_50,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(X1)),c_Event_Oused(X1),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
cls_conjecture_0 ).
cnf(c_0_52,axiom,
( X1 = c_0
| c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
cls_IntDef_Onegative__eq__positive_0 ).
cnf(c_0_53,axiom,
c_IntDef_Oint(c_1) = c_1,
cls_IntDef_Oint__1_0 ).
cnf(c_0_54,negated_conjecture,
( v_sko__urX(v_evs) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
c_IntDef_Oint(X1) != c_uminus(c_1,tc_IntDef_Oint),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_28]) ).
cnf(c_0_56,negated_conjecture,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(spm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_57,plain,
c_IntDef_Oint(X1) != c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),
inference(rw,[status(thm)],[c_0_55,c_0_33]) ).
cnf(c_0_58,axiom,
( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
| ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
cls_IntDef_Oint__nat__eq_0 ).
cnf(c_0_59,axiom,
( X2 = c_0
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(X2,X1) != c_0 ),
cls_OrderedGroup_Oneg__equal__0__iff__equal_0 ).
cnf(c_0_60,negated_conjecture,
( ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_61,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
cls_Nat_Ole__add2_0 ).
cnf(c_0_62,plain,
( X1 != c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint)
| ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,axiom,
( c_lessequals(c_0,c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_0,X1) ),
cls_OrderedGroup_Oneg__0__le__iff__le_1 ).
cnf(c_0_64,axiom,
( c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
cls_OrderedGroup_Oneg__0__le__iff__le_0 ).
cnf(c_0_65,plain,
( c_uminus(X1,tc_IntDef_Oint) = c_0
| X1 != c_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_36]),c_0_38])]) ).
cnf(c_0_66,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(c_plus(X1,v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( X1 = v_sko__urX(v_evs_H)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_68,plain,
( c_uminus(X1,tc_IntDef_Oint) != c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint)
| ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_43])]) ).
cnf(c_0_69,plain,
( c_lessequals(X1,c_0,tc_IntDef_Oint)
| X1 != c_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_43]),c_0_46])]) ).
cnf(c_0_70,axiom,
( X1 = X3
| c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
cls_Nat_Onat__add__right__cancel_0 ).
cnf(c_0_71,negated_conjecture,
c_plus(X1,v_sko__urX(v_evs_H),tc_nat) = v_sko__urX(v_evs_H),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( c_uminus(X1,tc_IntDef_Oint) != c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint)
| X1 != c_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
X1 = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
cnf(c_0_74,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_72,c_0_73]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV281-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n002.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 05:00:31 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 6.97/4.81 % Version : CSE_E---1.7
% 6.97/4.81 % Problem : theBenchmark.p
% 6.97/4.81 % SZS status Unsatisfiable for theBenchmark.p
% 6.97/4.81 % SZS output start CNFRefutation
% See solution above
% 6.97/4.83 % Total time : 3.538s
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