%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV252-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:08:31 PM UTC 2026
% Result : Unsatisfiable 6.00s 1.91s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 118 ( 54 unt; 9 def)
% Number of atoms : 202 ( 38 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 171 ( 87 ~; 82 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
fof(f4,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oanalz(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__iff_0) ).
fof(f6,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f7,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
fof(f9,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
fof(f10,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f11,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f12,axiom,
! [X2,X0,X1] : c_union(c_minus(X0,X1,tc_set(X2)),X1,X2) = c_union(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
fof(f13,axiom,
! [X2,X0,X1] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f14,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X0,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
! [X0] : class_Orderings_Oorder(tc_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f24,definition,
sF0 = c_Message_Oanalz(v_H),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f25,plain,
c_Message_Oanalz(v_H) = sF0,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF1 = c_Message_Osynth(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
c_Message_Osynth(sF0) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
c_in(v_X,sF1,tc_Message_Omsg),
inference(definition_folding,[],[f1,f27,f25]) ).
fof(f29,definition,
sF2 = c_insert(v_X,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f30,plain,
c_insert(v_X,v_H,tc_Message_Omsg) = sF2,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF3 = c_Message_Oparts(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f32,plain,
c_Message_Oparts(sF2) = sF3,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF4 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f34,plain,
c_Message_Oparts(v_H) = sF4,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF5 = c_union(sF1,sF4,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f36,plain,
c_union(sF1,sF4,tc_Message_Omsg) = sF5,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF6 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f38,plain,
tc_set(tc_Message_Omsg) = sF6,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
~ c_lessequals(sF3,sF5,sF6),
inference(definition_folding,[],[f2,f38,f36,f34,f27,f25,f32,f30]) ).
fof(f44,plain,
c_Message_Oparts(v_H) = c_Message_Oparts(sF0),
inference(superposition,[],[f7,f25]) ).
fof(f45,plain,
sF4 = c_Message_Oparts(sF0),
inference(forward_demodulation,[],[f44,f34]) ).
fof(f48,plain,
! [X0] :
( c_lessequals(sF2,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(superposition,[],[f20,f30]) ).
fof(f50,plain,
! [X0] :
( c_lessequals(sF2,X0,sF6)
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f48,f38]) ).
fof(f51,plain,
! [X0] :
( ~ c_lessequals(v_H,X0,sF6)
| c_lessequals(sF2,X0,sF6)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f50,f38]) ).
fof(f52,plain,
c_Message_Oparts(sF1) = c_union(c_Message_Oparts(sF0),sF1,tc_Message_Omsg),
inference(superposition,[],[f10,f27]) ).
fof(f53,plain,
c_Message_Oparts(sF1) = c_union(sF4,sF1,tc_Message_Omsg),
inference(forward_demodulation,[],[f52,f45]) ).
fof(f61,plain,
! [X0] :
( ~ c_lessequals(sF5,X0,tc_set(tc_Message_Omsg))
| c_lessequals(sF1,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f15,f36]) ).
fof(f65,plain,
! [X0] :
( ~ c_lessequals(sF5,X0,sF6)
| c_lessequals(sF1,X0,tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f61,f38]) ).
fof(f67,plain,
! [X0] :
( ~ c_lessequals(sF5,X0,sF6)
| c_lessequals(sF1,X0,sF6) ),
inference(forward_demodulation,[],[f65,f38]) ).
fof(f75,plain,
! [X0] :
( c_lessequals(sF5,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(sF1,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(sF4,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f17,f36]) ).
fof(f79,plain,
! [X0] :
( c_lessequals(sF5,X0,sF6)
| ~ c_lessequals(sF1,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(sF4,X0,tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f75,f38]) ).
fof(f81,plain,
! [X0] :
( ~ c_lessequals(sF1,X0,sF6)
| c_lessequals(sF5,X0,sF6)
| ~ c_lessequals(sF4,X0,tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f79,f38]) ).
fof(f83,plain,
! [X0] :
( ~ c_lessequals(sF4,X0,sF6)
| ~ c_lessequals(sF1,X0,sF6)
| c_lessequals(sF5,X0,sF6) ),
inference(forward_demodulation,[],[f81,f38]) ).
fof(f86,plain,
! [X0] :
( c_lessequals(sF3,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(sF2,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f9,f32]) ).
fof(f95,plain,
! [X0] :
( c_lessequals(sF3,c_Message_Oparts(X0),sF6)
| ~ c_lessequals(sF2,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f86,f38]) ).
fof(f100,plain,
! [X0] :
( ~ c_lessequals(sF2,c_Message_Oparts(X0),sF6)
| c_lessequals(sF3,c_Message_Oparts(X0),sF6) ),
inference(forward_demodulation,[],[f95,f38]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_minus(X1,X0,tc_set(X2)),X3,tc_set(X2))
| ~ c_lessequals(X0,X3,tc_set(X2))
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(superposition,[],[f17,f14]) ).
fof(f144,plain,
class_Orderings_Oorder(sF6),
inference(superposition,[],[f23,f38]) ).
fof(f153,plain,
! [X0] :
( ~ c_lessequals(sF4,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f8,f34]) ).
fof(f161,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),sF6)
| c_lessequals(X0,c_Message_Oparts(X1),sF6) ),
inference(superposition,[],[f8,f38]) ).
fof(f168,plain,
! [X0] :
( ~ c_lessequals(sF4,c_Message_Oparts(X0),sF6)
| c_lessequals(v_H,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f153,f38]) ).
fof(f175,plain,
! [X0] :
( ~ c_lessequals(sF4,c_Message_Oparts(X0),sF6)
| c_lessequals(v_H,c_Message_Oparts(X0),sF6) ),
inference(forward_demodulation,[],[f168,f38]) ).
fof(f191,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),sF6)
| c_lessequals(X0,c_Message_Oanalz(X1),sF6) ),
inference(superposition,[],[f5,f38]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(superposition,[],[f15,f12]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_insert(X0,X1,tc_Message_Omsg),X2,sF6)
| c_in(X0,X2,tc_Message_Omsg) ),
inference(superposition,[],[f18,f38]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| c_insert(X1,X2,X3) = X0
| ~ c_lessequals(X2,X0,tc_set(X3))
| ~ c_in(X1,X0,X3) ),
inference(resolution,[],[f22,f20]) ).
fof(f259,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,sF6)
| ~ c_lessequals(X0,X1,sF6)
| X0 = X1 ),
inference(superposition,[],[f22,f38]) ).
fof(f322,plain,
! [X0] :
( ~ class_Orderings_Oorder(sF6)
| c_lessequals(X0,c_Message_Oanalz(X0),sF6) ),
inference(resolution,[],[f11,f191]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ class_Orderings_Oorder(tc_set(X0))
| c_lessequals(X1,c_insert(X2,X1,X0),tc_set(X0)) ),
inference(resolution,[],[f11,f19]) ).
fof(f327,plain,
! [X0] :
( ~ class_Orderings_Oorder(sF6)
| c_lessequals(X0,c_Message_Oparts(X0),sF6) ),
inference(resolution,[],[f11,f161]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ class_Orderings_Oorder(tc_set(X0))
| c_lessequals(X1,c_union(X1,X2,X0),tc_set(X0)) ),
inference(resolution,[],[f11,f15]) ).
fof(f342,plain,
! [X2,X0,X1] : c_lessequals(X1,c_union(X1,X2,X0),tc_set(X0)),
inference(forward_subsumption_resolution,[],[f329,f23]) ).
fof(f344,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),sF6),
inference(forward_subsumption_resolution,[],[f327,f144]) ).
fof(f347,plain,
! [X2,X0,X1] : c_lessequals(X1,c_insert(X2,X1,X0),tc_set(X0)),
inference(forward_subsumption_resolution,[],[f324,f23]) ).
fof(f349,plain,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),sF6),
inference(forward_subsumption_resolution,[],[f322,f144]) ).
fof(f373,plain,
! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(X0)),sF6),
inference(resolution,[],[f349,f191]) ).
fof(f486,plain,
c_lessequals(sF4,c_Message_Oparts(sF1),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f342,f53]) ).
fof(f490,plain,
c_lessequals(sF4,c_Message_Oparts(sF1),sF6),
inference(forward_demodulation,[],[f486,f38]) ).
fof(f647,plain,
( ~ c_lessequals(sF1,c_Message_Oparts(sF1),sF6)
| c_lessequals(sF5,c_Message_Oparts(sF1),sF6) ),
inference(resolution,[],[f490,f83]) ).
fof(f658,plain,
c_lessequals(sF5,c_Message_Oparts(sF1),sF6),
inference(forward_subsumption_resolution,[],[f647,f344]) ).
fof(f693,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f114,f209]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
inference(forward_subsumption_resolution,[],[f693,f16]) ).
fof(f766,plain,
( ~ c_lessequals(c_Message_Oparts(sF1),sF5,sF6)
| sF5 = c_Message_Oparts(sF1) ),
inference(resolution,[],[f658,f259]) ).
fof(f768,definition,
( spl7_40
<=> sF5 = c_Message_Oparts(sF1) ),
introduced(definition,[new_symbols(definition,[spl7_40])],[avatar_definition]) ).
fof(f770,plain,
( sF5 = c_Message_Oparts(sF1)
| ~ spl7_40 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f772,definition,
( spl7_41
<=> c_lessequals(c_Message_Oparts(sF1),sF5,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_41])],[avatar_definition]) ).
fof(f774,plain,
( ~ c_lessequals(c_Message_Oparts(sF1),sF5,sF6)
| spl7_41 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f775,plain,
( spl7_40
| ~ spl7_41 ),
inference(avatar_split_clause,[],[f766,f772,f768]) ).
fof(f803,plain,
c_lessequals(v_H,c_Message_Oparts(sF1),sF6),
inference(resolution,[],[f175,f490]) ).
fof(f840,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f699,f11]) ).
fof(f862,plain,
! [X2,X0,X1] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(forward_subsumption_resolution,[],[f840,f23]) ).
fof(f960,plain,
c_lessequals(sF1,c_Message_Oanalz(c_Message_Oanalz(sF5)),sF6),
inference(resolution,[],[f373,f67]) ).
fof(f1019,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X1,tc_set(X2))
| c_insert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2) ),
inference(resolution,[],[f256,f347]) ).
fof(f1037,plain,
! [X2,X0,X1] :
( c_insert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2)
| ~ class_Orderings_Oorder(tc_set(X2)) ),
inference(resolution,[],[f1019,f11]) ).
fof(f1047,plain,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_insert(X0,X1,X2) = X1 ),
inference(forward_subsumption_resolution,[],[f1037,f23]) ).
fof(f1051,plain,
sF1 = c_insert(v_X,sF1,tc_Message_Omsg),
inference(resolution,[],[f1047,f28]) ).
fof(f1057,plain,
! [X0] :
( ~ c_lessequals(sF1,X0,sF6)
| c_in(v_X,X0,tc_Message_Omsg) ),
inference(superposition,[],[f219,f1051]) ).
fof(f1124,plain,
c_lessequals(c_Message_Oparts(sF1),c_union(sF1,sF4,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f862,f53]) ).
fof(f1146,plain,
c_lessequals(c_Message_Oparts(sF1),c_union(sF1,sF4,tc_Message_Omsg),sF6),
inference(forward_demodulation,[],[f1124,f38]) ).
fof(f1157,plain,
c_lessequals(c_Message_Oparts(sF1),sF5,sF6),
inference(forward_demodulation,[],[f1146,f36]) ).
fof(f1163,plain,
( $false
| spl7_41 ),
inference(forward_subsumption_resolution,[],[f1157,f774]) ).
fof(f1164,plain,
spl7_41,
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1370,plain,
( c_lessequals(v_H,sF5,sF6)
| ~ spl7_40 ),
inference(superposition,[],[f803,f770]) ).
fof(f1374,plain,
( sF5 = c_Message_Oanalz(sF5)
| ~ spl7_40 ),
inference(superposition,[],[f4,f770]) ).
fof(f1386,plain,
( ~ c_lessequals(sF2,sF5,sF6)
| c_lessequals(sF3,sF5,sF6)
| ~ spl7_40 ),
inference(superposition,[],[f100,f770]) ).
fof(f1399,plain,
( ~ c_lessequals(sF2,sF5,sF6)
| ~ spl7_40 ),
inference(forward_subsumption_resolution,[],[f1386,f39]) ).
fof(f1794,plain,
( c_lessequals(sF2,sF5,sF6)
| ~ c_in(v_X,sF5,tc_Message_Omsg)
| ~ spl7_40 ),
inference(resolution,[],[f1370,f51]) ).
fof(f1805,plain,
( ~ c_in(v_X,sF5,tc_Message_Omsg)
| ~ spl7_40 ),
inference(forward_subsumption_resolution,[],[f1794,f1399]) ).
fof(f2846,plain,
c_in(v_X,c_Message_Oanalz(c_Message_Oanalz(sF5)),tc_Message_Omsg),
inference(resolution,[],[f1057,f960]) ).
fof(f2881,plain,
( c_in(v_X,c_Message_Oanalz(sF5),tc_Message_Omsg)
| ~ spl7_40 ),
inference(forward_demodulation,[],[f2846,f1374]) ).
fof(f2885,plain,
( c_in(v_X,sF5,tc_Message_Omsg)
| ~ spl7_40 ),
inference(forward_demodulation,[],[f2881,f1374]) ).
fof(f2888,plain,
( $false
| ~ spl7_40 ),
inference(forward_subsumption_resolution,[],[f2885,f1805]) ).
fof(f2889,plain,
~ spl7_40,
inference(avatar_contradiction_clause,[],[f2888]) ).
cnf(s33,plain,
( spl7_40
| ~ spl7_41 ),
inference(sat_conversion,[],[f775]) ).
cnf(s46,plain,
spl7_41,
inference(sat_conversion,[],[f1164]) ).
cnf(s85,plain,
~ spl7_40,
inference(sat_conversion,[],[f2889]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s33,s46,s85]) ).
fof(f2890,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV252-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 10:23:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.00/1.91 % (3531614)Input is clausal, will run a generic CNF schedule.
% 6.00/1.91 % (3531630)dis-21_1_sil=8000:lcm=predicate:random_seed=549890657: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)
% 6.00/1.91 % (3531622)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=2004241418:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.00/1.91 % (3531627)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2428246714:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.00/1.91 % (3531623)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2715753079:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.00/1.91 % (3531625)lrs+10_1_sil=8000:sp=occurrence:random_seed=653039666:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.00/1.91 % (3531624)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=769648920:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.00/1.91 % (3531628)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3684285416:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.00/1.91 % (3531630)Instruction limit reached!
% 6.00/1.91 % (3531630)------------------------------
% 6.00/1.91 % (3531630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531630)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531630)Termination reason: Instruction limit
% 6.00/1.91 % (3531630)Termination phase: Saturation
% 6.00/1.91 % (3531630)Time elapsed: 0.037 s
% 6.00/1.91 % (3531630)Peak memory usage: 89 MB
% 6.00/1.91 % (3531630)Instructions burned: 121 (million)
% 6.00/1.91 % (3531625)Instruction limit reached!
% 6.00/1.91 % (3531625)------------------------------
% 6.00/1.91 % (3531625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531625)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531625)Termination reason: Instruction limit
% 6.00/1.91 % (3531625)Termination phase: Saturation
% 6.00/1.91 % (3531625)Time elapsed: 0.066 s
% 6.00/1.91 % (3531625)Peak memory usage: 88 MB
% 6.00/1.91 % (3531625)Instructions burned: 108 (million)
% 6.00/1.91 % (3531627)Instruction limit reached!
% 6.00/1.91 % (3531627)------------------------------
% 6.00/1.91 % (3531627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531627)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531627)Termination reason: Instruction limit
% 6.00/1.91 % (3531627)Termination phase: Saturation
% 6.00/1.91 % (3531627)Time elapsed: 0.070 s
% 6.00/1.91 % (3531627)Peak memory usage: 88 MB
% 6.00/1.91 % (3531627)Instructions burned: 116 (million)
% 6.00/1.91 % (3531628)Instruction limit reached!
% 6.00/1.91 % (3531628)------------------------------
% 6.00/1.91 % (3531628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531628)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531628)Termination reason: Instruction limit
% 6.00/1.91 % (3531628)Termination phase: Saturation
% 6.00/1.91 % (3531628)Time elapsed: 0.113 s
% 6.00/1.91 % (3531628)Peak memory usage: 89 MB
% 6.00/1.91 % (3531628)Instructions burned: 182 (million)
% 6.00/1.91 % (3531693)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=4184975335:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.00/1.91 % (3531693)Refutation not found, incomplete strategy
% 6.00/1.91 % (3531693)------------------------------
% 6.00/1.91 % (3531693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531693)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531693)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.91 % (3531693)Time elapsed: 0.001 s
% 6.00/1.91 % (3531693)Peak memory usage: 88 MB
% 6.00/1.91 % (3531693)Instructions burned: 1 (million)
% 6.00/1.91 % (3531712)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4024266341:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.00/1.91 % (3531710)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=724217653: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)
% 6.00/1.91 % (3531712)Refutation not found, incomplete strategy
% 6.00/1.91 % (3531712)------------------------------
% 6.00/1.91 % (3531712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531712)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531712)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.91 % (3531712)Time elapsed: 0.001 s
% 6.00/1.91 % (3531712)Peak memory usage: 87 MB
% 6.00/1.91 % (3531712)Instructions burned: 1 (million)
% 6.00/1.91 % (3531693)------------------------------
% 6.00/1.91 % (3531693)------------------------------
% 6.00/1.91 % (3531723)lrs+10_64_to=lpo:sil=8000:random_seed=3016121992:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.00/1.91 % (3531710)Instruction limit reached!
% 6.00/1.91 % (3531710)------------------------------
% 6.00/1.91 % (3531710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531710)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531710)Termination reason: Instruction limit
% 6.00/1.91 % (3531710)Termination phase: Saturation
% 6.00/1.91 % (3531710)Time elapsed: 0.163 s
% 6.00/1.91 % (3531710)Peak memory usage: 89 MB
% 6.00/1.91 % (3531710)Instructions burned: 190 (million)
% 6.00/1.91 % (3531723)Instruction limit reached!
% 6.00/1.91 % (3531723)------------------------------
% 6.00/1.91 % (3531723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531723)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531723)Termination reason: Instruction limit
% 6.00/1.91 % (3531723)Termination phase: Saturation
% 6.00/1.91 % (3531723)Time elapsed: 0.093 s
% 6.00/1.91 % (3531723)Peak memory usage: 88 MB
% 6.00/1.91 % (3531723)Instructions burned: 126 (million)
% 6.00/1.91 % (3531712)------------------------------
% 6.00/1.91 % (3531712)------------------------------
% 6.00/1.91 % (3531775)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1865056597:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.00/1.91 % (3531786)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1787352942:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.00/1.91 % (3531787)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3444341817:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.00/1.91 % (3531786)Instruction limit reached!
% 6.00/1.91 % (3531786)------------------------------
% 6.00/1.91 % (3531786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531786)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531786)Termination reason: Instruction limit
% 6.00/1.91 % (3531786)Termination phase: Saturation
% 6.00/1.91 % (3531786)Time elapsed: 0.095 s
% 6.00/1.91 % (3531786)Peak memory usage: 91 MB
% 6.00/1.91 % (3531786)Instructions burned: 157 (million)
% 6.00/1.91 % (3531775)Instruction limit reached!
% 6.00/1.91 % (3531775)------------------------------
% 6.00/1.91 % (3531775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531775)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531775)Termination reason: Instruction limit
% 6.00/1.91 % (3531775)Termination phase: Saturation
% 6.00/1.91 % (3531775)Time elapsed: 0.186 s
% 6.00/1.91 % (3531775)Peak memory usage: 89 MB
% 6.00/1.91 % (3531775)Instructions burned: 194 (million)
% 6.00/1.91 % (3531797)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=4202423138:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 6.00/1.91 % (3531804)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2763924795:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 6.00/1.91 % (3531804)Refutation not found, incomplete strategy
% 6.00/1.91 % (3531804)------------------------------
% 6.00/1.91 % (3531804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531804)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531804)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.91 % (3531804)Time elapsed: 0.001 s
% 6.00/1.91 % (3531804)Peak memory usage: 87 MB
% 6.00/1.91 % (3531797)Instruction limit reached!
% 6.00/1.91 % (3531797)------------------------------
% 6.00/1.91 % (3531797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531797)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531797)Termination reason: Instruction limit
% 6.00/1.91 % (3531797)Termination phase: Saturation
% 6.00/1.91 % (3531797)Time elapsed: 0.057 s
% 6.00/1.91 % (3531797)Peak memory usage: 88 MB
% 6.00/1.91 % (3531797)Instructions burned: 108 (million)
% 6.00/1.91 % (3531805)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3476743604:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 6.00/1.91 % (3531804)------------------------------
% 6.00/1.91 % (3531804)------------------------------
% 6.00/1.91 % (3531622)First to succeed.
% 6.00/1.91 % (3531809)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3487469699:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 6.00/1.91 % (3531622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3531614"
% 6.00/1.91 % (3531805)Instruction limit reached!
% 6.00/1.91 % (3531805)------------------------------
% 6.00/1.91 % (3531805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531805)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531805)Termination reason: Instruction limit
% 6.00/1.91 % (3531805)Termination phase: Saturation
% 6.00/1.91 % (3531805)Time elapsed: 0.153 s
% 6.00/1.91 % (3531805)Peak memory usage: 89 MB
% 6.00/1.91 % (3531805)Instructions burned: 243 (million)
% 6.00/1.91 % (3531853)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2342776398:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 6.00/1.91 % (3531853)Instruction limit reached!
% 6.00/1.91 % (3531853)------------------------------
% 6.00/1.91 % (3531853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.91 % (3531853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.91 % (3531853)CaDiCaL version: 2.1.3
% 6.00/1.91 % (3531853)Termination reason: Instruction limit
% 6.00/1.91 % (3531853)Termination phase: Saturation
% 6.00/1.91 % (3531853)Time elapsed: 0.045 s
% 6.00/1.91 % (3531853)Peak memory usage: 90 MB
% 6.00/1.91 % (3531853)Instructions burned: 135 (million)
% 6.00/1.91 % (3531886)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2831087043:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 6.00/1.91 % (3531912)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=170764193:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 6.00/1.91 % (3531622)Refutation found. Thanks to Tanya!
% 6.00/1.91 % SZS status Unsatisfiable for theBenchmark
% 6.00/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 6.00/2.02 % (3531622)------------------------------
% 6.00/2.02 % (3531622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/2.02 % (3531622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/2.02 % (3531622)CaDiCaL version: 2.1.3
% 6.00/2.02 % (3531622)Termination reason: Refutation
% 6.00/2.02 % (3531622)Time elapsed: 1.066 s
% 6.00/2.02 % (3531622)Peak memory usage: 132 MB
% 6.00/2.02 % (3531622)Instructions burned: 1302 (million)
% 6.00/2.02 % (3531622)------------------------------
% 6.00/2.02 % (3531622)------------------------------
% 6.00/2.02 % (3531614)Success in time 1.486 s
% 6.00/2.02 % Vampire exiting
%------------------------------------------------------------------------------