%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:56 PM UTC 2026
% Result : Unsatisfiable 6.40s 1.66s
% Output : CNFRefutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 17
% Syntax : Number of formulae : 126 ( 43 unt; 3 def)
% Number of atoms : 349 ( 199 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 251 ( 61 ~; 190 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 172 ( 0 sgn 172 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| 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_H_H),tc_Message_Omsg)
| X0 = X2
| X2 = X1
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| 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_H_H),tc_Message_Omsg)
| X0 = X2
| X1 = X2
| X0 = X1 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : c_Binomial_Obinomial(X0,c_Suc(c_0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).
fof(f4,axiom,
! [X0,X1] : c_Binomial_Obinomial(c_Suc(X0),c_Suc(X1)) = c_plus(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(X0,c_Suc(X1)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__Suc_0) ).
fof(f5,axiom,
! [X0] : c_Binomial_Obinomial(X0,c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).
fof(f6,axiom,
c_1 = c_Suc(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f7,plain,
c_Suc(c_0) = c_1,
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| c_minus(X0,X1,tc_nat) != c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
fof(f9,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| c_0 != c_minus(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : c_minus(X0,X0,tc_nat) = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
fof(f11,plain,
! [X0] : c_0 = c_minus(X0,X0,tc_nat),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] : c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f13,axiom,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f14,axiom,
! [X0,X1] :
( c_less(X0,c_Suc(X1),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__le_0) ).
fof(f16,axiom,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
fof(f17,axiom,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f18,axiom,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_Suc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f19,plain,
! [X0] : c_Suc(X0) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0] : c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = X0,
inference(definition_unfolding,[],[f3,f19]) ).
fof(f21,plain,
! [X0,X1] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)) = c_plus(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_nat),
inference(definition_unfolding,[],[f4,f19,f19,f19]) ).
fof(f22,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f7,f19]) ).
fof(f23,plain,
! [X0] : c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f13,f19]) ).
fof(f24,plain,
! [X0,X1] :
( c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(definition_unfolding,[],[f14,f19]) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( 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_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i] : c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = X0,
inference(cnf_transformation,[],[f20]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : c_plus(c_Binomial_Obinomial(X0,X1),c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_nat) = c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_66,plain,
! [X0: $i] : c_Binomial_Obinomial(X0,c_0) = c_1,
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,plain,
c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_1,
inference(cnf_transformation,[],[f22]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_nat)
| ( c_minus(X0,X1,tc_nat) != c_0 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i] : c_minus(X0,X0,tc_nat) = c_0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[],[f12]) ).
tcf(c_71,plain,
! [X0: $i] : c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f23]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
inference(cnf_transformation,[],[f16]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_131,plain,
! [X0: $i] : c_Binomial_Obinomial(X0,c_1) = X0,
inference(light_normalisation,[status(thm)],[c_64,c_67]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( tc_nat != tc_nat )
| ( c_plus(X0,X1,tc_nat) != X2 )
| ( c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_74,c_71]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : c_plus(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) != X1,
inference(unflattening,[status(thm)],[c_171]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_lessequals(X2,X3,tc_nat)
| ( tc_nat != tc_nat )
| ( c_plus(X0,X1,tc_nat) != X2 )
| ( c_Finite__Set_Ocard(c_SetInterval_OatMost(X3,tc_nat),tc_nat) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_74,c_72]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] : ~ c_lessequals(c_plus(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(unflattening,[status(thm)],[c_177]) ).
tcf(c_258,definition,
iPr_def_10 = c_Event_Oused(v_evs),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_259,definition,
iPr_def_11 = c_Event_Oused(v_evs_H_H),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_260,definition,
iPr_def_12 = c_Event_Oused(v_evs_H),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_261,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_12,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),iPr_def_11,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_63,c_260,c_259,c_258]) ).
tcf(c_511,plain,
! [X0: $i] : c_lessequals(X0,X0,tc_nat),
inference(superposition,[status(thm)],[c_69,c_68]) ).
tcf(c_517,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_259,c_75]) ).
tcf(c_518,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_260,c_75]) ).
tcf(c_519,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_258,c_75]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_12,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),iPr_def_10,tc_Message_Omsg)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_261,c_517]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_12,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( X0 = X1 )
| ( v_sko__urX(v_evs_H_H) = X1 )
| ( v_sko__urX(v_evs_H_H) = X0 ) ),
inference(superposition,[status(thm)],[c_511,c_540]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),iPr_def_10,tc_Message_Omsg)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_261,c_518]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_10,tc_Message_Omsg)
| ( X0 = X1 )
| ( v_sko__urX(v_evs_H_H) = X1 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_560,c_518]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_11,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( X0 = X1 )
| ( v_sko__urX(v_evs_H) = X1 )
| ( v_sko__urX(v_evs_H) = X0 ) ),
inference(superposition,[status(thm)],[c_511,c_596]) ).
tcf(c_672,plain,
! [X0: $i] : c_plus(c_Binomial_Obinomial(X0,c_0),c_Binomial_Obinomial(X0,c_1),tc_nat) = c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_1),
inference(superposition,[status(thm)],[c_67,c_65]) ).
tcf(c_676,plain,
! [X0: $i] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_1) = c_plus(c_1,X0,tc_nat),
inference(light_normalisation,[status(thm)],[c_672,c_66,c_131]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_11,tc_Message_Omsg)
| ( X0 = X1 )
| ( v_sko__urX(v_evs_H) = X1 )
| ( v_sko__urX(v_evs_H) = X0 )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_627,c_519]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_12,tc_Message_Omsg)
| ( X0 = X1 )
| ( v_sko__urX(v_evs_H_H) = X1 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_560,c_519]) ).
tcf(c_722,plain,
! [X0: $i] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_plus(c_1,X0,tc_nat),
inference(demodulation,[status(thm)],[c_676,c_131]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i] : ~ c_lessequals(c_plus(X0,c_plus(c_1,X1,tc_nat),tc_nat),X1,tc_nat),
inference(demodulation,[status(thm)],[c_178,c_722]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i] : c_plus(X0,c_plus(c_1,X1,tc_nat),tc_nat) != X1,
inference(demodulation,[status(thm)],[c_172,c_722]) ).
tcf(c_849,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( v_sko__urX(v_evs_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_511,c_597]) ).
tcf(c_891,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),iPr_def_11,tc_Message_Omsg)
| ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H) = X0 )
| ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) ) ),
inference(superposition,[status(thm)],[c_511,c_691]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_12,tc_Message_Omsg)
| ( v_sko__urX(v_evs_H_H) = X1 )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = X1 )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_70,c_692]) ).
tcf(c_913,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),iPr_def_12,tc_Message_Omsg)
| ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ) ),
inference(superposition,[status(thm)],[c_511,c_692]) ).
tcf(c_1505,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_849,c_519]) ).
tcf(c_1519,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H) = X0 )
| ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_891,c_517]) ).
tcf(c_1533,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H_H) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_913,c_518]) ).
tcf(c_2249,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_70,c_1505]) ).
tcf(c_2250,plain,
( ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_511,c_1505]) ).
tcf(c_2350,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_70,c_1519]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X1,tc_nat) = v_sko__urX(v_evs_H_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H),c_plus(v_sko__urX(v_evs),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_2249,c_73]) ).
tcf(c_2620,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs),v_sko__urX(v_evs_H),tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_2249,c_70]) ).
tcf(c_2624,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),c_plus(c_1,X0,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) )
| ( v_sko__urX(v_evs_H) != X0 ) ),
inference(superposition,[status(thm)],[c_2249,c_725]) ).
tcf(c_2625,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),c_plus(c_1,X0,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_2249,c_724]) ).
tcf(c_2821,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_2350,c_70]) ).
tcf(c_2825,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,X0,tc_nat),tc_nat) = v_sko__urX(v_evs_H) )
| ( v_sko__urX(v_evs) != X0 ) ),
inference(superposition,[status(thm)],[c_2350,c_725]) ).
tcf(c_3494,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_70,c_1533]) ).
tcf(c_3792,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs),tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_3494,c_70]) ).
tcf(c_3946,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),iPr_def_10,tc_Message_Omsg)
| ( X1 = X2 )
| ( v_sko__urX(v_evs) = X2 )
| ( v_sko__urX(v_evs) = X1 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_3792,c_596]) ).
tcf(c_4177,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| ( X0 = X2 )
| ( v_sko__urX(v_evs) = X2 )
| ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H_H) )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_3946,c_519]) ).
tcf(c_4878,plain,
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),c_plus(c_1,v_sko__urX(v_evs_H),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(equality_resolution,[status(thm)],[c_2624]) ).
tcf(c_4983,plain,
! [X0: $i] :
( c_lessequals(c_plus(c_1,v_sko__urX(v_evs_H),tc_nat),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_4878,c_73]) ).
tcf(c_4984,plain,
( c_lessequals(v_sko__urX(v_evs),v_sko__urX(v_evs_H_H),tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_4878,c_70]) ).
tcf(c_4987,plain,
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat) ),
inference(superposition,[status(thm)],[c_4878,c_724]) ).
tcf(c_5083,plain,
( c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_2250,c_4984]) ).
tcf(c_5607,plain,
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),c_plus(c_1,v_sko__urX(v_evs_H_H),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_5083,c_2625]) ).
tcf(c_5610,plain,
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5607,c_725]) ).
tcf(c_5628,plain,
! [X0: $i] :
( c_lessequals(c_plus(c_1,v_sko__urX(v_evs_H),tc_nat),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_5610,c_4983]) ).
tcf(c_5646,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(superposition,[status(thm)],[c_5610,c_2620]) ).
tcf(c_5664,plain,
! [X0: $i] :
( c_lessequals(c_plus(c_1,v_sko__urX(v_evs_H),tc_nat),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5628,c_70]) ).
tcf(c_5752,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_5664,c_73]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2619,c_5752]) ).
tcf(c_6131,plain,
! [X0: $i] :
( ( 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(global_subsumption_just,[status(thm)],[c_5767,c_4987,c_5646]) ).
tcf(c_6132,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ( c_plus(v_sko__urX(v_evs),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(renaming,[status(thm)],[c_6131]) ).
tcf(c_6142,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6132,c_73]) ).
tcf(c_6192,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat) ),
inference(superposition,[status(thm)],[c_6132,c_6142]) ).
tcf(c_6195,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6192,c_511]) ).
tcf(c_6206,plain,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H),
inference(backward_subsumption_resolution,[status(thm)],[c_4987,c_6195]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| ( X0 = X2 )
| ( v_sko__urX(v_evs) = X2 )
| ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H) )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(demodulation,[status(thm)],[c_4177,c_6206]) ).
tcf(c_6233,plain,
! [X0: $i] :
( 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) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(demodulation,[status(thm)],[c_2821,c_6206]) ).
tcf(c_6267,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_12,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_518,c_6206]) ).
tcf(c_6606,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,X0,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) )
| ( v_sko__urX(v_evs) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_2825,c_6206]) ).
tcf(c_6616,plain,
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,v_sko__urX(v_evs),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(equality_resolution,[status(thm)],[c_6606]) ).
tcf(c_6634,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),iPr_def_12,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_70,c_6267]) ).
tcf(c_6920,plain,
! [X0: $i] :
( c_lessequals(c_plus(c_1,v_sko__urX(v_evs),tc_nat),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_6616,c_73]) ).
tcf(c_6925,plain,
( ( 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(superposition,[status(thm)],[c_6616,c_724]) ).
tcf(c_6931,plain,
! [X0: $i] :
( c_lessequals(c_plus(c_1,v_sko__urX(v_evs),tc_nat),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6920,c_70]) ).
tcf(c_6951,plain,
! [X0: $i] :
( c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ) ),
inference(superposition,[status(thm)],[c_6931,c_73]) ).
tcf(c_7193,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| ( X0 = X2 )
| ( v_sko__urX(v_evs) = X2 )
| ( v_sko__urX(v_evs) = X0 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(global_subsumption_just,[status(thm)],[c_6212,c_6212,c_6951]) ).
tcf(c_7194,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_ONonce(X2),iPr_def_11,tc_Message_Omsg)
| ( X1 = X2 )
| ( v_sko__urX(v_evs) = X2 )
| ( v_sko__urX(v_evs) = X1 )
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(renaming,[status(thm)],[c_7193]) ).
tcf(c_7195,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(global_subsumption_just,[status(thm)],[c_7194,c_6233,c_6925]) ).
tcf(c_7205,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_7195,c_73]) ).
tcf(c_7213,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_7195,c_724]) ).
tcf(c_7230,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_nat)
| ( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7205,c_70]) ).
tcf(c_7233,plain,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs),
inference(backward_subsumption_resolution,[status(thm)],[c_7213,c_7230]) ).
tcf(c_7250,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_12,tc_Message_Omsg)
| ( v_sko__urX(v_evs_H_H) = X1 )
| ( 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) ) ),
inference(demodulation,[status(thm)],[c_912,c_7233]) ).
tcf(c_7680,plain,
! [X0: $i,X1: $i] :
( ( c_plus(v_sko__urX(v_evs_H_H),X1,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) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) ) ),
inference(superposition,[status(thm)],[c_7250,c_6634]) ).
tcf(c_7980,plain,
! [X0: $i,X1: $i] :
( ( 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),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) )
| ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) != X1 ) ),
inference(superposition,[status(thm)],[c_7680,c_725]) ).
tcf(c_8077,plain,
! [X0: $i] :
( ( 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),c_plus(c_1,c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H) ) ),
inference(equality_resolution,[status(thm)],[c_7980]) ).
tcf(c_8108,plain,
! [X0: $i] :
( ( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) )
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat) ),
inference(superposition,[status(thm)],[c_8077,c_724]) ).
tcf(c_8109,plain,
! [X0: $i] : 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_8108,c_70]) ).
tcf(c_8174,plain,
c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat),
inference(superposition,[status(thm)],[c_8109,c_70]) ).
tcf(c_8179,plain,
! [X0: $i] : ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat),
inference(superposition,[status(thm)],[c_8109,c_724]) ).
tcf(c_8183,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8174,c_8179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 19:00:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 6.40/1.66 % SZS status Started for theBenchmark.p
% 6.40/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 6.40/1.66
% 6.40/1.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.40/1.66
% 6.40/1.66 % ------ iProver source info
% 6.40/1.66
% 6.40/1.66 % git: date: 2026-07-19 20:42:38 +0200
% 6.40/1.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.40/1.66 % git: non_committed_changes: false
% 6.40/1.66
% 6.40/1.66 % ------ Parsing...% successful
% 6.40/1.66
% 6.40/1.66
% 6.40/1.66 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.40/1.66
% 6.40/1.66 % ------ 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 %
% 6.40/1.66
% 6.40/1.66 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.40/1.66
% 6.40/1.66 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.40/1.66 % ------ Proving...
% 6.40/1.66 % ------ Problem Properties
% 6.40/1.66
% 6.40/1.66 %
% 6.40/1.66 % clauses 15
% 6.40/1.66 % conjectures 1
% 6.40/1.66 % EPR 0
% 6.40/1.66 % Horn 14
% 6.40/1.66 % unary 11
% 6.40/1.66 % binary 3
% 6.40/1.66 % lits 23
% 6.40/1.66 % lits eq 13
% 6.40/1.66 % fd_pure 0
% 6.40/1.66 % fd_pseudo 0
% 6.40/1.66 % fd_cond 0
% 6.40/1.66 % fd_pseudo_cond 1
% 6.40/1.66 % AC symbols 0
% 6.40/1.66
% 6.40/1.66 % ------ Schedule dynamic 5 is on
% 6.40/1.66
% 6.40/1.66 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.40/1.66
% 6.40/1.66
% 6.40/1.66 % ------
% 6.40/1.66 % Current options:
% 6.40/1.66 % ------
% 6.40/1.66
% 6.40/1.66
% 6.40/1.66 %
% 6.40/1.66
% 6.40/1.66 % ------ Proving...
% 6.40/1.66 %
% 6.40/1.66
% 6.40/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 6.40/1.66
% 6.40/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.40/1.67
% 6.40/1.67
%------------------------------------------------------------------------------