TSTP Solution File: SWV282-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 03:13:58 EDT 2024
% Result : Unsatisfiable 0.41s 1.10s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( X0 = X1
| X0 = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,plain,
c_Binomial_Obinomial(X0,c_Suc(c_0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).
cnf(c_51,plain,
c_plus(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat) = c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__Suc_0) ).
cnf(c_52,plain,
c_Binomial_Obinomial(X0,c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).
cnf(c_53,plain,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
cnf(c_54,plain,
( c_minus(X0,X1,tc_nat) != c_0
| c_lessequals(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
cnf(c_55,plain,
c_minus(X0,X0,tc_nat) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
cnf(c_56,plain,
c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
cnf(c_57,plain,
c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
cnf(c_58,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_less(X0,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
cnf(c_59,plain,
( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__le_0) ).
cnf(c_60,plain,
~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
cnf(c_61,plain,
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(c_121,plain,
c_Binomial_Obinomial(X0,c_1) = X0,
inference(light_normalisation,[status(thm)],[c_50,c_53]) ).
cnf(c_162,plain,
( c_plus(X2,X1,tc_nat) != X0
| c_Suc(X0) != X1
| tc_nat != tc_nat ),
inference(resolution_lifted,[status(thm)],[c_57,c_60]) ).
cnf(c_163,plain,
c_Suc(c_plus(X0,X1,tc_nat)) != X1,
inference(unflattening,[status(thm)],[c_162]) ).
cnf(c_168,plain,
( c_plus(X2,X1,tc_nat) != X3
| c_Suc(X0) != X1
| tc_nat != tc_nat
| ~ c_lessequals(X3,X0,tc_nat) ),
inference(resolution_lifted,[status(thm)],[c_58,c_60]) ).
cnf(c_169,plain,
~ c_lessequals(c_plus(X0,c_Suc(X1),tc_nat),X1,tc_nat),
inference(unflattening,[status(thm)],[c_168]) ).
cnf(c_252,plain,
c_Event_Oused(v_evs) = sP0_iProver_def,
definition ).
cnf(c_253,plain,
c_Event_Oused(v_evs_H_H) = sP1_iProver_def,
definition ).
cnf(c_254,plain,
c_Event_Oused(v_evs_H) = sP2_iProver_def,
definition ).
cnf(c_255,negated_conjecture,
( X0 = X1
| X0 = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X0),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),sP1_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),sP2_iProver_def,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_49,c_254,c_253,c_252]) ).
cnf(c_513,plain,
c_lessequals(X0,X0,tc_nat),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_519,plain,
( ~ c_in(c_Message_Omsg_ONonce(X0),sP1_iProver_def,tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_253,c_61]) ).
cnf(c_520,plain,
( ~ c_in(c_Message_Omsg_ONonce(X0),sP2_iProver_def,tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_254,c_61]) ).
cnf(c_521,plain,
( ~ c_in(c_Message_Omsg_ONonce(X0),sP0_iProver_def,tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_252,c_61]) ).
cnf(c_537,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| X0 = X1
| X0 = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X1),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),sP2_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_255,c_519]) ).
cnf(c_557,plain,
( v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H_H) = X1
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X0),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),sP2_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_513,c_537]) ).
cnf(c_593,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X1
| X0 = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X1),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_255,c_520]) ).
cnf(c_594,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H_H) = X1
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),sP0_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_557,c_520]) ).
cnf(c_624,plain,
( v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs_H) = X1
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X0),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_513,c_593]) ).
cnf(c_678,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H) = X0
| c_in(c_Message_Omsg_ONonce(X0),sP0_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_513,c_594]) ).
cnf(c_704,plain,
c_plus(c_Binomial_Obinomial(X0,c_0),c_Binomial_Obinomial(X0,c_1),tc_nat) = c_Binomial_Obinomial(c_Suc(X0),c_1),
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_709,plain,
c_Binomial_Obinomial(c_Suc(X0),c_1) = c_plus(c_1,X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_704,c_52,c_121]) ).
cnf(c_938,plain,
c_plus(c_1,X0,tc_nat) = c_Suc(X0),
inference(demodulation,[status(thm)],[c_709,c_121]) ).
cnf(c_943,plain,
( ~ c_lessequals(c_plus(c_1,X0,tc_nat),c_Suc(X1),tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(superposition,[status(thm)],[c_938,c_59]) ).
cnf(c_947,plain,
( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_943,c_938]) ).
cnf(c_1069,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H) = X0 ),
inference(superposition,[status(thm)],[c_678,c_521]) ).
cnf(c_1072,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs_H) = X1
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_624,c_521]) ).
cnf(c_1073,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H_H) = X1
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),sP2_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_557,c_521]) ).
cnf(c_1346,plain,
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs) = X0
| c_in(c_Message_Omsg_ONonce(X0),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_513,c_1072]) ).
cnf(c_1391,plain,
( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = X1
| v_sko__urX(v_evs_H_H) = X1
| c_in(c_Message_Omsg_ONonce(X1),sP2_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_56,c_1073]) ).
cnf(c_1392,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs) = X0
| c_in(c_Message_Omsg_ONonce(X0),sP2_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_513,c_1073]) ).
cnf(c_1948,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs) = X0 ),
inference(superposition,[status(thm)],[c_1346,c_519]) ).
cnf(c_1962,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs) = X0 ),
inference(superposition,[status(thm)],[c_1392,c_520]) ).
cnf(c_2263,plain,
( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[status(thm)],[c_56,c_1069]) ).
cnf(c_2382,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs) ),
inference(superposition,[status(thm)],[c_56,c_1948]) ).
cnf(c_2400,plain,
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(superposition,[status(thm)],[c_56,c_1962]) ).
cnf(c_2571,plain,
( c_Suc(v_sko__urX(v_evs_H)) != X0
| c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[status(thm)],[c_2263,c_163]) ).
cnf(c_2573,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_plus(v_sko__urX(v_evs),c_Suc(X0),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[status(thm)],[c_2263,c_169]) ).
cnf(c_2721,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat) ),
inference(superposition,[status(thm)],[c_2382,c_56]) ).
cnf(c_2722,plain,
( c_Suc(v_sko__urX(v_evs)) != X0
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs) ),
inference(superposition,[status(thm)],[c_2382,c_163]) ).
cnf(c_2900,plain,
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs),tc_nat) ),
inference(superposition,[status(thm)],[c_2400,c_56]) ).
cnf(c_3006,plain,
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X1),sP0_iProver_def,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2900,c_593]) ).
cnf(c_3214,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = X2
| X0 = X2
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3006,c_521]) ).
cnf(c_3631,plain,
( c_plus(v_sko__urX(v_evs),c_Suc(v_sko__urX(v_evs_H)),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(equality_resolution,[status(thm)],[c_2571]) ).
cnf(c_3647,plain,
( ~ c_lessequals(c_plus(v_sko__urX(v_evs),X0,tc_nat),v_sko__urX(v_evs_H_H),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(X0,c_Suc(v_sko__urX(v_evs_H)),tc_nat) ),
inference(superposition,[status(thm)],[c_3631,c_59]) ).
cnf(c_4734,plain,
( c_plus(v_sko__urX(v_evs),c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[status(thm)],[c_56,c_2573]) ).
cnf(c_4777,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),c_Suc(v_sko__urX(v_evs_H)),tc_nat) ),
inference(superposition,[status(thm)],[c_4734,c_3647]) ).
cnf(c_4789,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(c_Suc(c_plus(v_sko__urX(v_evs_H),X0,tc_nat)),c_Suc(v_sko__urX(v_evs_H)),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4777,c_513]) ).
cnf(c_5283,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(c_plus(v_sko__urX(v_evs_H),X0,tc_nat),v_sko__urX(v_evs_H),tc_nat) ),
inference(superposition,[status(thm)],[c_4789,c_947]) ).
cnf(c_5305,plain,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H),
inference(superposition,[status(thm)],[c_5283,c_169]) ).
cnf(c_5315,plain,
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = X2
| X0 = X2
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_3214,c_5305]) ).
cnf(c_5325,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat) ),
inference(demodulation,[status(thm)],[c_2721,c_5305]) ).
cnf(c_5361,plain,
( ~ c_in(c_Message_Omsg_ONonce(X0),sP2_iProver_def,tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(demodulation,[status(thm)],[c_520,c_5305]) ).
cnf(c_5571,plain,
~ c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),sP2_iProver_def,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_56,c_5361]) ).
cnf(c_5941,plain,
( c_Suc(v_sko__urX(v_evs)) != X0
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(light_normalisation,[status(thm)],[c_2722,c_5305]) ).
cnf(c_5948,plain,
( c_plus(v_sko__urX(v_evs_H_H),c_Suc(v_sko__urX(v_evs)),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(equality_resolution,[status(thm)],[c_5941]) ).
cnf(c_6069,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(c_Suc(v_sko__urX(v_evs)),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_5948,c_59]) ).
cnf(c_6073,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(superposition,[status(thm)],[c_5948,c_169]) ).
cnf(c_6082,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(c_Suc(v_sko__urX(v_evs)),X0,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6069,c_56]) ).
cnf(c_6097,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6082,c_947]) ).
cnf(c_6289,plain,
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = X2
| X0 = X2
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_5315,c_5315,c_6097]) ).
cnf(c_6290,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),sP1_iProver_def,tc_Message_Omsg) ),
inference(renaming,[status(thm)],[c_6289]) ).
cnf(c_6291,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(global_subsumption_just,[status(thm)],[c_6290,c_5325,c_6073]) ).
cnf(c_6301,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(X1,X0,tc_nat) ),
inference(superposition,[status(thm)],[c_6291,c_59]) ).
cnf(c_6305,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
inference(superposition,[status(thm)],[c_6291,c_169]) ).
cnf(c_6324,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| c_lessequals(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6301,c_56]) ).
cnf(c_6327,plain,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs),
inference(backward_subsumption_resolution,[status(thm)],[c_6305,c_6324]) ).
cnf(c_6342,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = X1
| v_sko__urX(v_evs_H_H) = X1
| c_in(c_Message_Omsg_ONonce(X1),sP2_iProver_def,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_1391,c_6327]) ).
cnf(c_6803,plain,
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[status(thm)],[c_6342,c_5571]) ).
cnf(c_7048,plain,
( c_Suc(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)) != X1
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[status(thm)],[c_6803,c_163]) ).
cnf(c_7119,plain,
( c_plus(v_sko__urX(v_evs_H_H),c_Suc(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(equality_resolution,[status(thm)],[c_7048]) ).
cnf(c_7143,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[status(thm)],[c_7119,c_169]) ).
cnf(c_7150,plain,
c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H),
inference(forward_subsumption_resolution,[status(thm)],[c_7143,c_56]) ).
cnf(c_7164,plain,
c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat),
inference(superposition,[status(thm)],[c_7150,c_56]) ).
cnf(c_7167,plain,
~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat),
inference(superposition,[status(thm)],[c_7150,c_169]) ).
cnf(c_7170,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7164,c_7167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n018.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 00:33:31 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.41/1.10 % SZS status Started for theBenchmark.p
% 0.41/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.10
% 0.41/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.41/1.10
% 0.41/1.10 ------ iProver source info
% 0.41/1.10
% 0.41/1.10 git: date: 2024-05-02 19:28:25 +0000
% 0.41/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.41/1.10 git: non_committed_changes: false
% 0.41/1.10
% 0.41/1.10 ------ Parsing...successful
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 0.41/1.10
% 0.41/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.41/1.10
% 0.41/1.10 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.41/1.10 ------ Proving...
% 0.41/1.10 ------ Problem Properties
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10 clauses 16
% 0.41/1.10 conjectures 1
% 0.41/1.10 EPR 0
% 0.41/1.10 Horn 15
% 0.41/1.10 unary 12
% 0.41/1.10 binary 3
% 0.41/1.10 lits 24
% 0.41/1.10 lits eq 14
% 0.41/1.10 fd_pure 0
% 0.41/1.10 fd_pseudo 0
% 0.41/1.10 fd_cond 0
% 0.41/1.10 fd_pseudo_cond 1
% 0.41/1.10 AC symbols 0
% 0.41/1.10
% 0.41/1.10 ------ Schedule dynamic 5 is on
% 0.41/1.10
% 0.41/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10 ------
% 0.41/1.10 Current options:
% 0.41/1.10 ------
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10 ------ Proving...
% 0.41/1.10
% 0.41/1.10
% 0.41/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.10
% 0.41/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.10
% 0.41/1.10
%------------------------------------------------------------------------------