%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Tue Sep 29 01:08:39 PM UTC 2026
% Result : Unsatisfiable 5.46s 1.23s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 136 ( 18 unt; 10 def)
% Number of atoms : 423 ( 127 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 479 ( 192 ~; 277 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( X0 = X1
| X2 = X1
| X0 = X2
| 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)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
! [X2,X0,X1] :
( 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)
| X0 = X2
| X1 = X2
| X0 = X1 ),
inference(reorient_equations,[],[f1]) ).
fof(f8,axiom,
! [X0,X1] :
( 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) ).
fof(f9,plain,
! [X0,X1] :
( c_0 != c_minus(X0,X1,tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : c_minus(X0,X0,tc_nat) = c_0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f13,axiom,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f14,axiom,
! [X0,X1] :
( ~ 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) ).
fof(f16,axiom,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
fof(f17,axiom,
! [X0,X1] :
( ~ 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) ).
fof(f18,axiom,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_Suc(X0),
file('/export/starexec/sandbox2/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(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]) ).
fof(f26,plain,
! [X0] :
( c_0 != c_0
| c_lessequals(X0,X0,tc_nat) ),
inference(superposition,[],[f9,f11]) ).
fof(f27,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(trivial_inequality_removal,[],[f26]) ).
fof(f28,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X2),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_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X2
| X0 = X1
| X1 = X2 ),
inference(resolution,[],[f17,f2]) ).
fof(f31,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X2,tc_nat)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(resolution,[],[f28,f17]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| X0 = X1
| X0 = X2
| X1 = X2
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X2,tc_nat) ),
inference(resolution,[],[f31,f17]) ).
fof(f35,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X1
| v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(resolution,[],[f33,f27]) ).
fof(f36,plain,
! [X0,X1] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
| v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(resolution,[],[f35,f12]) ).
fof(f37,plain,
! [X0] :
( v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs) = 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(resolution,[],[f35,f27]) ).
fof(f39,definition,
( spl0_1
<=> v_sko__urX(v_evs_H) = v_sko__urX(v_evs) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f41,plain,
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl0_2
<=> ! [X0] :
( v_sko__urX(v_evs_H) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44,plain,
( ! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs) = X0 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f37,f43,f39]) ).
fof(f46,plain,
( ! [X0] :
( v_sko__urX(v_evs_H) = 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) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f12]) ).
fof(f47,plain,
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| ~ spl0_2 ),
inference(resolution,[],[f44,f27]) ).
fof(f49,definition,
( spl0_3
<=> v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f51,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl0_4
<=> v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f54,plain,
( v_sko__urX(v_evs_H) != v_sko__urX(v_evs_H_H)
| spl0_4 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f47,f43,f53,f49]) ).
fof(f64,plain,
( ! [X0] :
( v_sko__urX(v_evs_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) )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f46,f51]) ).
fof(f71,plain,
( ! [X0] :
( ~ c_less(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f16,f64]) ).
fof(f72,plain,
( ! [X0] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f12,f64]) ).
fof(f75,definition,
( spl0_5
<=> ! [X0] : v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( ! [X0] : v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_6
<=> c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f80,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_5
| spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f72,f49,f43,f79,f75]) ).
fof(f91,plain,
( ! [X0] :
( v_sko__urX(v_evs) = 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) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f46,f55]) ).
fof(f97,plain,
( ! [X0] :
( ~ c_less(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f16,f91]) ).
fof(f98,plain,
( ! [X0] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f12,f91]) ).
fof(f101,definition,
( spl0_7
<=> c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f103,plain,
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_5
| spl0_7
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f98,f53,f43,f101,f75]) ).
fof(f109,plain,
( ! [X0] : ~ c_less(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ spl0_5 ),
inference(superposition,[],[f16,f76]) ).
fof(f111,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f109,f23]) ).
fof(f112,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f119,plain,
( ! [X0,X1] :
( v_sko__urX(v_evs_H_H) = X1
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
| v_sko__urX(v_evs) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f36,f51]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)
| v_sko__urX(v_evs_H_H) = X1
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f119,f51]) ).
fof(f128,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f71,f23]) ).
fof(f129,plain,
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f16,f128]) ).
fof(f153,plain,
( ! [X0,X1] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_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),X1,tc_nat) )
| ~ spl0_3 ),
inference(resolution,[],[f124,f12]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,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_H_H) = c_plus(v_sko__urX(v_evs_H),X2,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) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_3 ),
inference(superposition,[],[f153,f153]) ).
fof(f241,plain,
( ! [X2,X0,X1] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,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_H_H) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f266,definition,
( spl0_14
<=> ! [X2,X0] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f267,plain,
( ! [X2,X0] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( spl0_5
| spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f241,f49,f266,f75]) ).
fof(f297,plain,
( ! [X2,X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f267,f55]) ).
fof(f310,plain,
( ! [X2,X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f297,f55]) ).
fof(f315,plain,
( ! [X2,X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f310,f55]) ).
fof(f319,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f97,f23]) ).
fof(f320,plain,
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f16,f319]) ).
fof(f324,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f320,f24]) ).
fof(f325,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f324,f103]) ).
fof(f326,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f345,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f129,f24]) ).
fof(f346,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f345,f81]) ).
fof(f347,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f355,plain,
( ! [X0,X1] :
( v_sko__urX(v_evs_H) = X1
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X1
| v_sko__urX(v_evs) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f35,f41]) ).
fof(f356,plain,
( ! [X0,X1] :
( v_sko__urX(v_evs_H) = X1
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
| v_sko__urX(v_evs) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f36,f41]) ).
fof(f360,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = X1
| v_sko__urX(v_evs_H) = X0
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f355,f41]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)
| v_sko__urX(v_evs_H) = X1
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = X1
| v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f356,f41]) ).
fof(f374,plain,
( ! [X0] :
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat) )
| ~ spl0_1 ),
inference(resolution,[],[f361,f27]) ).
fof(f376,plain,
( ! [X0] :
( v_sko__urX(v_evs_H) = 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) )
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f374,f54]) ).
fof(f380,plain,
( ! [X0] :
( ~ c_less(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) )
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f16,f376]) ).
fof(f387,definition,
( spl0_15
<=> c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f388,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)
| spl0_15 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f392,definition,
( spl0_16
<=> c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f394,plain,
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| spl0_16 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f399,plain,
( ! [X0] :
( v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_1
| ~ spl0_15 ),
inference(resolution,[],[f389,f360]) ).
fof(f400,plain,
( ! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H) = X0 )
| ~ spl0_1
| spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f399,f54]) ).
fof(f401,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f380,f23]) ).
fof(f404,plain,
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f16,f401]) ).
fof(f405,plain,
( c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f12,f401]) ).
fof(f406,plain,
( ~ spl0_16
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f404,f53,f39,f392]) ).
fof(f407,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| spl0_16 ),
inference(resolution,[],[f394,f24]) ).
fof(f408,plain,
( $false
| ~ spl0_6
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f407,f81]) ).
fof(f409,plain,
( ~ spl0_6
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f413,plain,
( ! [X0] :
( v_sko__urX(v_evs_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) )
| ~ spl0_1
| spl0_4
| ~ spl0_15 ),
inference(resolution,[],[f400,f12]) ).
fof(f429,plain,
( ! [X0] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_1
| spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f12,f413]) ).
fof(f431,plain,
( ! [X0] : v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ spl0_1
| spl0_4
| spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f429,f80]) ).
fof(f433,plain,
( spl0_5
| ~ spl0_1
| spl0_4
| spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f431,f387,f79,f53,f39,f75]) ).
fof(f434,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f405,f388]) ).
fof(f435,plain,
( ~ spl0_1
| spl0_4
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f438,plain,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs)
| ~ spl0_1
| ~ spl0_4 ),
inference(backward_demodulation,[],[f41,f55]) ).
fof(f470,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f438,f53,f39,f49]) ).
fof(f516,plain,
( ! [X0,X1] :
( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),X1,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) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f16,f315]) ).
fof(f524,plain,
( ! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f516,f23]) ).
fof(f534,plain,
( ! [X0] :
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f16,f524]) ).
fof(f540,plain,
( ! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),tc_nat) )
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f534,f24]) ).
fof(f545,plain,
( ! [X0] : v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f540,f12]) ).
fof(f546,plain,
( spl0_5
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f545,f266,f53,f75]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
~ spl0_5,
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f268]) ).
cnf(s16,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f326]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f347]) ).
cnf(s25,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f406]) ).
cnf(s26,plain,
( ~ spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f409]) ).
cnf(s28,plain,
( ~ spl0_1
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_15 ),
inference(sat_conversion,[],[f433]) ).
cnf(s30,plain,
( ~ spl0_1
| spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f435]) ).
cnf(s34,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f470]) ).
cnf(s37,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f546]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_7 ),
inference(rat,[],[s5,s6]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(rat,[],[s4,s6]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s39,s16]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s40,s20]) ).
cnf(s44,plain,
( spl0_4
| ~ spl0_2 ),
inference(rat,[],[s43,s2]) ).
cnf(s45,plain,
~ spl0_2,
inference(rat,[],[s44,s42]) ).
cnf(s46,plain,
spl0_1,
inference(rat,[],[s1,s45]) ).
cnf(s47,plain,
spl0_4,
inference(rat,[],[s26,s28,s25,s30,s6,s46]) ).
cnf(s48,plain,
~ spl0_14,
inference(rat,[],[s37,s6,s47]) ).
cnf(s53,plain,
spl0_3,
inference(rat,[],[s34,s46,s47]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s13,s6,s48,s53]) ).
fof(f547,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:28:01 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.46/1.23 % (2523255)Input is clausal, will run a generic CNF schedule.
% 5.46/1.23 % (2523266)dis-21_1_sil=8000:lcm=predicate:random_seed=2452387417:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.46/1.23 % (2523266)Refutation not found, incomplete strategy
% 5.46/1.23 % (2523266)------------------------------
% 5.46/1.23 % (2523266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523266)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523266)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.23 % (2523266)Time elapsed: 0.001 s
% 5.46/1.23 % (2523266)Peak memory usage: 88 MB
% 5.46/1.23 % (2523266)Instructions burned: 1 (million)
% 5.46/1.23 % (2523260)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2224108570:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.46/1.23 % (2523264)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3858502328:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.46/1.23 % (2523263)lrs+10_1_sil=8000:sp=occurrence:random_seed=3324885156:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.46/1.23 % (2523262)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=496256551:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.46/1.23 % (2523265)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2040275393:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.46/1.23 % (2523261)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3274442447:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.46/1.23 % (2523264)Refutation not found, incomplete strategy
% 5.46/1.23 % (2523264)------------------------------
% 5.46/1.23 % (2523264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523264)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523264)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.23 % (2523264)Time elapsed: 0.001 s
% 5.46/1.23 % (2523264)Peak memory usage: 86 MB
% 5.46/1.23 % (2523263)Instruction limit reached!
% 5.46/1.23 % (2523263)------------------------------
% 5.46/1.23 % (2523263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523263)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523263)Termination reason: Instruction limit
% 5.46/1.23 % (2523263)Termination phase: Saturation
% 5.46/1.23 % (2523263)Time elapsed: 0.065 s
% 5.46/1.23 % (2523263)Peak memory usage: 89 MB
% 5.46/1.23 % (2523263)Instructions burned: 108 (million)
% 5.46/1.23 % (2523265)Instruction limit reached!
% 5.46/1.23 % (2523265)------------------------------
% 5.46/1.23 % (2523265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523265)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523265)Termination reason: Instruction limit
% 5.46/1.23 % (2523265)Termination phase: Saturation
% 5.46/1.23 % (2523265)Time elapsed: 0.105 s
% 5.46/1.23 % (2523265)Peak memory usage: 89 MB
% 5.46/1.23 % (2523265)Instructions burned: 181 (million)
% 5.46/1.23 % (2523266)------------------------------
% 5.46/1.23 % (2523266)------------------------------
% 5.46/1.23 % (2523276)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3813955890:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.46/1.23 % (2523274)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=916833583:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.46/1.23 % (2523275)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=483356537:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.46/1.23 % (2523264)------------------------------
% 5.46/1.23 % (2523264)------------------------------
% 5.46/1.23 % (2523275)Refutation not found, incomplete strategy
% 5.46/1.23 % (2523275)------------------------------
% 5.46/1.23 % (2523275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523275)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523275)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.23 % (2523275)Time elapsed: 0.002 s
% 5.46/1.23 % (2523275)Peak memory usage: 88 MB
% 5.46/1.23 % (2523275)Instructions burned: 1 (million)
% 5.46/1.23 % (2523276)Instruction limit reached!
% 5.46/1.23 % (2523276)------------------------------
% 5.46/1.23 % (2523276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523276)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523276)Termination reason: Instruction limit
% 5.46/1.23 % (2523276)Termination phase: Saturation
% 5.46/1.23 % (2523276)Time elapsed: 0.055 s
% 5.46/1.23 % (2523276)Peak memory usage: 88 MB
% 5.46/1.23 % (2523276)Instructions burned: 221 (million)
% 5.46/1.23 % (2523274)Instruction limit reached!
% 5.46/1.23 % (2523274)------------------------------
% 5.46/1.23 % (2523274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523274)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523274)Termination reason: Instruction limit
% 5.46/1.23 % (2523274)Termination phase: Saturation
% 5.46/1.23 % (2523274)Time elapsed: 0.084 s
% 5.46/1.23 % (2523274)Peak memory usage: 89 MB
% 5.46/1.23 % (2523274)Instructions burned: 144 (million)
% 5.46/1.23 % (2523281)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1960404421:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.46/1.23 % (2523280)lrs+10_64_to=lpo:sil=8000:random_seed=3177683786:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.46/1.23 % (2523281)Instruction limit reached!
% 5.46/1.23 % (2523281)------------------------------
% 5.46/1.23 % (2523281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523281)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523281)Termination reason: Instruction limit
% 5.46/1.23 % (2523281)Termination phase: Saturation
% 5.46/1.23 % (2523281)Time elapsed: 0.061 s
% 5.46/1.23 % (2523281)Peak memory usage: 89 MB
% 5.46/1.23 % (2523281)Instructions burned: 198 (million)
% 5.46/1.23 % (2523280)First to succeed.
% 5.46/1.23 % (2523280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2523255"
% 5.46/1.23 % (2523282)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=700336485:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.46/1.23 % (2523275)------------------------------
% 5.46/1.23 % (2523275)------------------------------
% 5.46/1.23 % (2523285)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1711462294:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.46/1.23 % (2523282)Instruction limit reached!
% 5.46/1.23 % (2523282)------------------------------
% 5.46/1.23 % (2523282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.23 % (2523282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.23 % (2523282)CaDiCaL version: 2.1.3
% 5.46/1.23 % (2523282)Termination reason: Instruction limit
% 5.46/1.23 % (2523282)Termination phase: Saturation
% 5.46/1.23 % (2523282)Time elapsed: 0.098 s
% 5.46/1.23 % (2523282)Peak memory usage: 90 MB
% 5.46/1.23 % (2523282)Instructions burned: 157 (million)
% 5.46/1.23 % (2523288)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3512334647:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.46/1.23 % (2523280)Refutation found. Thanks to Tanya!
% 5.46/1.23 % SZS status Unsatisfiable for theBenchmark
% 5.46/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.43 % (2523280)------------------------------
% 6.14/1.43 % (2523280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.43 % (2523280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.43 % (2523280)CaDiCaL version: 2.1.3
% 6.14/1.43 % (2523280)Termination reason: Refutation
% 6.14/1.43 % (2523280)Time elapsed: 0.030 s
% 6.14/1.43 % (2523280)Peak memory usage: 89 MB
% 6.14/1.43 % (2523280)Instructions burned: 48 (million)
% 6.14/1.43 % (2523280)------------------------------
% 6.14/1.43 % (2523280)------------------------------
% 6.14/1.43 % (2523255)Success in time 0.806 s
% 6.14/1.43 % Vampire exiting
%------------------------------------------------------------------------------