%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ064-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 12:32:08 PM UTC 2026
% Result : Unsatisfiable 27.41s 4.36s
% Output : Refutation 27.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 139 ( 100 unt; 3 def)
% Number of atoms : 204 ( 96 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 135 ( 70 ~; 62 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 216 ( 0 sgn 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_a,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_inter(v_a,v_t,t_a) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
c_inter(c_union(v_a,v_t,t_a),v_u,t_a) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,plain,
c_emptyset = c_inter(c_union(v_a,v_t,t_a),v_u,t_a),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
~ c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,negated_conjecture,
( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_inter(v_t,v_u,t_a) != c_emptyset
| ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f8,plain,
( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_emptyset != c_inter(v_t,v_u,t_a)
| ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Mutil_Otiling(X1,X2),tc_set(X2))
| c_inter(X0,X3,X2) != c_emptyset
| c_in(c_union(X0,X3,X2),c_Mutil_Otiling(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Mutil_Otiling_OUn_0) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Mutil_Otiling(X1,X2),tc_set(X2))
| c_emptyset != c_inter(X0,X3,X2)
| c_in(c_union(X0,X3,X2),c_Mutil_Otiling(X1,X2),tc_set(X2)) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : c_Relation_OImage(c_Relation_Odiag(X0,X1),X2,X1,X1) = c_inter(X0,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__diag_0) ).
fof(f12,axiom,
! [X2,X0,X1] : c_uminus(c_minus(X0,X1,tc_set(X2)),tc_set(X2)) = c_union(c_uminus(X0,tc_set(X2)),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__Diff__eq_0) ).
fof(f13,axiom,
! [X0] : c_uminus(c_UNIV,tc_set(X0)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__UNIV__eq_0) ).
fof(f14,plain,
! [X0] : c_emptyset = c_uminus(c_UNIV,tc_set(X0)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X2,X0,X1] : c_minus(X0,c_uminus(X1,tc_set(X2)),tc_set(X2)) = c_inter(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__Compl_0) ).
fof(f16,axiom,
! [X0,X1] : c_inter(c_UNIV,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__left_0) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__iff_1) ).
fof(f18,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(f19,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(f20,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
! [X0,X1] : c_union(c_UNIV,X0,X1) = c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__left_0) ).
fof(f22,plain,
! [X0,X1] : c_UNIV = c_union(c_UNIV,X0,X1),
inference(reorient_equations,[],[f21]) ).
fof(f24,axiom,
! [X2,X3,X0,X1] : c_union(c_union(X0,X1,X2),X3,X2) = c_union(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__assoc_0) ).
fof(f25,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f26,axiom,
! [X0,X1] : c_union(X0,c_emptyset,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
fof(f27,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(f28,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(f29,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(f30,axiom,
! [X0,X1] : c_uminus(c_uminus(X0,tc_set(X1)),tc_set(X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Odouble__complement_0) ).
fof(f31,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).
fof(f32,axiom,
! [X0,X1] : c_lessequals(c_emptyset,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f33,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f34,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(f35,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f34]) ).
fof(f36,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f37,plain,
c_emptyset = c_Relation_OImage(c_Relation_Odiag(v_a,t_a),v_t,t_a,t_a),
inference(definition_unfolding,[],[f2,f11]) ).
fof(f38,plain,
c_emptyset = c_Relation_OImage(c_Relation_Odiag(c_union(v_a,v_t,t_a),t_a),v_u,t_a,t_a),
inference(definition_unfolding,[],[f5,f11]) ).
fof(f39,plain,
( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_emptyset != c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a)
| ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( c_in(c_union(X0,X3,X2),c_Mutil_Otiling(X1,X2),tc_set(X2))
| ~ c_in(X3,c_Mutil_Otiling(X1,X2),tc_set(X2))
| c_emptyset != c_Relation_OImage(c_Relation_Odiag(X0,X2),X3,X2,X2)
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(definition_unfolding,[],[f10,f11]) ).
fof(f41,plain,
! [X2,X0,X1] : c_minus(X0,c_uminus(X1,tc_set(X2)),tc_set(X2)) = c_Relation_OImage(c_Relation_Odiag(X0,X2),X1,X2,X2),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f42,plain,
! [X0,X1] : c_Relation_OImage(c_Relation_Odiag(c_UNIV,X1),X0,X1,X1) = X0,
inference(definition_unfolding,[],[f16,f11]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),X3)
| c_in(X0,X2,X3) ),
inference(definition_unfolding,[],[f17,f11]) ).
fof(f45,definition,
( spl0_1
<=> c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,definition,
( spl0_2
<=> c_emptyset = c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f51,plain,
( c_emptyset != c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl0_3
<=> c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f55,plain,
( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f39,f53,f49,f45]) ).
fof(f57,plain,
~ c_in(c_union(v_a,c_union(v_t,v_u,t_a),t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(forward_demodulation,[],[f6,f24]) ).
fof(f58,plain,
spl0_1,
inference(avatar_split_clause,[],[f3,f45]) ).
fof(f59,plain,
! [X0] : c_UNIV = c_uminus(c_emptyset,tc_set(X0)),
inference(superposition,[],[f30,f14]) ).
fof(f63,plain,
! [X0,X1] : c_union(X0,c_emptyset,X1) = c_minus(X0,c_emptyset,tc_set(X1)),
inference(superposition,[],[f26,f18]) ).
fof(f64,plain,
! [X0,X1] : c_minus(X0,c_emptyset,tc_set(X1)) = X0,
inference(forward_demodulation,[],[f63,f26]) ).
fof(f72,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[],[f27,f36]) ).
fof(f87,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[],[f28,f36]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,c_union(c_union(X1,X0,X2),X3,X2),tc_set(X2)),
inference(resolution,[],[f28,f72]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,c_union(X1,c_union(X0,X3,X2),X2),tc_set(X2)),
inference(forward_demodulation,[],[f88,f24]) ).
fof(f98,plain,
! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)),
inference(superposition,[],[f87,f22]) ).
fof(f105,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ),
inference(resolution,[],[f35,f32]) ).
fof(f110,plain,
! [X0,X1] :
( ~ c_lessequals(c_UNIV,X0,tc_set(X1))
| c_UNIV = X0 ),
inference(resolution,[],[f98,f35]) ).
fof(f143,plain,
! [X0,X1] : c_UNIV = c_union(X0,c_UNIV,X1),
inference(resolution,[],[f110,f87]) ).
fof(f146,plain,
! [X2,X0,X1] : c_minus(X0,X2,tc_set(X1)) = c_uminus(c_union(c_uminus(X0,tc_set(X1)),X2,X1),tc_set(X1)),
inference(superposition,[],[f30,f12]) ).
fof(f165,plain,
! [X2,X0,X1] : c_union(c_uminus(X2,tc_set(X1)),X0,X1) = c_union(c_uminus(X2,tc_set(X1)),c_Relation_OImage(c_Relation_Odiag(X0,X1),X2,X1,X1),X1),
inference(superposition,[],[f20,f41]) ).
fof(f166,plain,
! [X2,X0,X1] : c_union(X0,c_uminus(X2,tc_set(X1)),X1) = c_union(c_Relation_OImage(c_Relation_Odiag(X0,X1),X2,X1,X1),c_uminus(X2,tc_set(X1)),X1),
inference(superposition,[],[f18,f41]) ).
fof(f167,plain,
! [X0,X1] : c_minus(c_UNIV,c_uminus(X0,tc_set(X1)),tc_set(X1)) = X0,
inference(superposition,[],[f42,f41]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_minus(X0,c_uminus(X1,tc_set(X2)),tc_set(X2)),X2)
| c_in(X3,X1,X2) ),
inference(superposition,[],[f43,f41]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_union(X0,X3,X2),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| c_union(X0,X3,X2) = X1 ),
inference(resolution,[],[f29,f35]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( c_emptyset != c_Relation_OImage(c_Relation_Odiag(c_minus(X0,X1,tc_set(X2)),X2),X1,X2,X2)
| ~ c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))
| c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(superposition,[],[f40,f18]) ).
fof(f402,plain,
! [X0,X1] : c_union(c_uminus(X0,tc_set(X1)),c_UNIV,X1) = c_union(c_uminus(X0,tc_set(X1)),X0,X1),
inference(superposition,[],[f20,f167]) ).
fof(f403,plain,
! [X0,X1] : c_union(c_UNIV,c_uminus(X0,tc_set(X1)),X1) = c_union(X0,c_uminus(X0,tc_set(X1)),X1),
inference(superposition,[],[f18,f167]) ).
fof(f404,plain,
! [X0,X1] : c_UNIV = c_union(X0,c_uminus(X0,tc_set(X1)),X1),
inference(forward_demodulation,[],[f403,f22]) ).
fof(f405,plain,
! [X0,X1] : c_UNIV = c_union(c_uminus(X0,tc_set(X1)),X0,X1),
inference(forward_demodulation,[],[f402,f143]) ).
fof(f531,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_minus(X1,c_UNIV,tc_set(X2)),X2)
| c_in(X0,c_emptyset,X2) ),
inference(superposition,[],[f168,f59]) ).
fof(f539,plain,
! [X2,X0,X1] : ~ c_in(X0,c_minus(X1,c_UNIV,tc_set(X2)),X2),
inference(forward_subsumption_resolution,[],[f531,f31]) ).
fof(f540,plain,
! [X2,X0,X1] : c_lessequals(c_minus(X0,c_UNIV,tc_set(X1)),X2,tc_set(X1)),
inference(resolution,[],[f539,f33]) ).
fof(f574,plain,
! [X0,X1] : c_emptyset = c_minus(X0,c_UNIV,tc_set(X1)),
inference(resolution,[],[f540,f105]) ).
fof(f579,plain,
! [X0,X1] : c_minus(c_emptyset,X0,tc_set(X1)) = c_uminus(c_union(c_UNIV,X0,X1),tc_set(X1)),
inference(superposition,[],[f146,f59]) ).
fof(f581,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X2,tc_set(X1)),X3,tc_set(X1)) = c_uminus(c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X3,X1),tc_set(X1)),
inference(superposition,[],[f146,f12]) ).
fof(f584,plain,
! [X0,X1] : c_uminus(c_UNIV,tc_set(X1)) = c_minus(X0,X0,tc_set(X1)),
inference(superposition,[],[f146,f405]) ).
fof(f607,plain,
! [X0,X1] : c_emptyset = c_minus(X0,X0,tc_set(X1)),
inference(forward_demodulation,[],[f584,f14]) ).
fof(f609,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X2,tc_set(X1)),X3,tc_set(X1)) = c_uminus(c_union(c_uminus(X0,tc_set(X1)),c_union(X2,X3,X1),X1),tc_set(X1)),
inference(forward_demodulation,[],[f581,f24]) ).
fof(f610,plain,
! [X0,X1] : c_uminus(c_UNIV,tc_set(X1)) = c_minus(c_emptyset,X0,tc_set(X1)),
inference(forward_demodulation,[],[f579,f22]) ).
fof(f613,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X2,tc_set(X1)),X3,tc_set(X1)) = c_minus(X0,c_union(X2,X3,X1),tc_set(X1)),
inference(forward_demodulation,[],[f609,f146]) ).
fof(f614,plain,
! [X0,X1] : c_emptyset = c_minus(c_emptyset,X0,tc_set(X1)),
inference(forward_demodulation,[],[f610,f14]) ).
fof(f618,plain,
! [X0,X1] : c_emptyset = c_Relation_OImage(c_Relation_Odiag(c_emptyset,X1),X0,X1,X1),
inference(superposition,[],[f41,f614]) ).
fof(f1021,plain,
c_union(c_uminus(v_t,tc_set(t_a)),v_a,t_a) = c_union(c_uminus(v_t,tc_set(t_a)),c_emptyset,t_a),
inference(superposition,[],[f165,f37]) ).
fof(f1022,plain,
c_union(c_uminus(v_u,tc_set(t_a)),c_union(v_a,v_t,t_a),t_a) = c_union(c_uminus(v_u,tc_set(t_a)),c_emptyset,t_a),
inference(superposition,[],[f165,f38]) ).
fof(f1026,plain,
! [X2,X0,X1] : c_uminus(c_union(c_uminus(X0,tc_set(X1)),X2,X1),tc_set(X1)) = c_minus(X0,c_Relation_OImage(c_Relation_Odiag(X2,X1),X0,X1,X1),tc_set(X1)),
inference(superposition,[],[f146,f165]) ).
fof(f1043,plain,
! [X2,X0,X1] : c_minus(X0,X2,tc_set(X1)) = c_minus(X0,c_Relation_OImage(c_Relation_Odiag(X2,X1),X0,X1,X1),tc_set(X1)),
inference(forward_demodulation,[],[f1026,f146]) ).
fof(f1046,plain,
c_uminus(v_u,tc_set(t_a)) = c_union(c_uminus(v_u,tc_set(t_a)),c_union(v_a,v_t,t_a),t_a),
inference(forward_demodulation,[],[f1022,f26]) ).
fof(f1047,plain,
c_uminus(v_t,tc_set(t_a)) = c_union(c_uminus(v_t,tc_set(t_a)),v_a,t_a),
inference(forward_demodulation,[],[f1021,f26]) ).
fof(f1057,plain,
c_minus(v_t,v_a,tc_set(t_a)) = c_uminus(c_uminus(v_t,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f146,f1047]) ).
fof(f1080,plain,
v_t = c_minus(v_t,v_a,tc_set(t_a)),
inference(forward_demodulation,[],[f1057,f30]) ).
fof(f1082,plain,
c_union(c_union(v_a,v_t,t_a),c_uminus(v_u,tc_set(t_a)),t_a) = c_union(c_emptyset,c_uminus(v_u,tc_set(t_a)),t_a),
inference(superposition,[],[f166,f38]) ).
fof(f1115,plain,
c_uminus(v_u,tc_set(t_a)) = c_union(c_union(v_a,v_t,t_a),c_uminus(v_u,tc_set(t_a)),t_a),
inference(forward_demodulation,[],[f1082,f25]) ).
fof(f1118,plain,
c_uminus(v_u,tc_set(t_a)) = c_union(v_a,c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),t_a),
inference(forward_demodulation,[],[f1115,f24]) ).
fof(f1463,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X1,tc_set(X2))
| c_union(X1,X0,X2) = X1 ),
inference(resolution,[],[f178,f72]) ).
fof(f1513,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_union(X1,X0,X2) = X1 ),
inference(forward_subsumption_resolution,[],[f1463,f36]) ).
fof(f1637,plain,
! [X2,X3,X0,X1] :
( c_emptyset != c_minus(c_minus(X0,X1,tc_set(X2)),c_uminus(X1,tc_set(X2)),tc_set(X2))
| ~ c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))
| c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(superposition,[],[f195,f41]) ).
fof(f1644,plain,
! [X2,X3,X0,X1] :
( c_emptyset != c_minus(X0,c_union(X1,c_uminus(X1,tc_set(X2)),X2),tc_set(X2))
| ~ c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))
| c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(forward_demodulation,[],[f1637,f613]) ).
fof(f1654,plain,
! [X2,X3,X0,X1] :
( c_emptyset != c_minus(X0,c_UNIV,tc_set(X2))
| ~ c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))
| c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(forward_demodulation,[],[f1644,f404]) ).
fof(f1661,plain,
! [X2,X3,X0,X1] :
( c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(forward_subsumption_resolution,[],[f1654,f574]) ).
fof(f1684,plain,
c_lessequals(v_a,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f95,f1046]) ).
fof(f1935,plain,
c_uminus(v_u,tc_set(t_a)) = c_union(c_uminus(v_u,tc_set(t_a)),v_a,t_a),
inference(resolution,[],[f1513,f1684]) ).
fof(f2202,plain,
c_uminus(c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_minus(v_u,v_a,tc_set(t_a)),
inference(superposition,[],[f146,f1935]) ).
fof(f2235,plain,
v_u = c_minus(v_u,v_a,tc_set(t_a)),
inference(forward_demodulation,[],[f2202,f30]) ).
fof(f4505,plain,
! [X0] : c_minus(v_t,X0,tc_set(t_a)) = c_minus(v_t,c_union(v_a,X0,t_a),tc_set(t_a)),
inference(superposition,[],[f613,f1080]) ).
fof(f4508,plain,
! [X0] : c_minus(v_u,X0,tc_set(t_a)) = c_minus(v_u,c_union(v_a,X0,t_a),tc_set(t_a)),
inference(superposition,[],[f613,f2235]) ).
fof(f4553,plain,
! [X2,X3,X0,X1] : c_minus(X0,c_union(X1,c_uminus(X2,tc_set(X3)),X3),tc_set(X3)) = c_Relation_OImage(c_Relation_Odiag(c_minus(X0,X1,tc_set(X3)),X3),X2,X3,X3),
inference(superposition,[],[f41,f613]) ).
fof(f4613,plain,
c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_minus(v_t,c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),tc_set(t_a)),
inference(superposition,[],[f4505,f1118]) ).
fof(f4615,plain,
c_minus(v_t,c_UNIV,tc_set(t_a)) = c_minus(v_t,c_uminus(v_a,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f4505,f404]) ).
fof(f4654,plain,
c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_a,t_a,t_a) = c_minus(v_t,c_UNIV,tc_set(t_a)),
inference(forward_demodulation,[],[f4615,f41]) ).
fof(f4656,plain,
c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_Relation_OImage(c_Relation_Odiag(c_minus(v_t,v_t,tc_set(t_a)),t_a),v_u,t_a,t_a),
inference(forward_demodulation,[],[f4613,f4553]) ).
fof(f4662,plain,
c_emptyset = c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_a,t_a,t_a),
inference(forward_demodulation,[],[f4654,f574]) ).
fof(f4663,plain,
c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_Relation_OImage(c_Relation_Odiag(c_emptyset,t_a),v_u,t_a,t_a),
inference(forward_demodulation,[],[f4656,f607]) ).
fof(f4664,plain,
c_emptyset = c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(forward_demodulation,[],[f4663,f618]) ).
fof(f4665,plain,
c_emptyset = c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a),
inference(forward_demodulation,[],[f4664,f41]) ).
fof(f4666,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f4665,f51]) ).
fof(f4667,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f4666]) ).
fof(f4839,plain,
c_minus(v_a,v_t,tc_set(t_a)) = c_minus(v_a,c_emptyset,tc_set(t_a)),
inference(superposition,[],[f1043,f4662]) ).
fof(f4841,plain,
v_a = c_minus(v_a,v_t,tc_set(t_a)),
inference(forward_demodulation,[],[f4839,f64]) ).
fof(f4967,plain,
! [X0] : c_minus(v_a,X0,tc_set(t_a)) = c_minus(v_a,c_union(v_t,X0,t_a),tc_set(t_a)),
inference(superposition,[],[f613,f4841]) ).
fof(f6897,plain,
c_minus(v_u,c_UNIV,tc_set(t_a)) = c_minus(v_u,c_uminus(v_a,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f4508,f404]) ).
fof(f6952,plain,
c_Relation_OImage(c_Relation_Odiag(v_u,t_a),v_a,t_a,t_a) = c_minus(v_u,c_UNIV,tc_set(t_a)),
inference(forward_demodulation,[],[f6897,f41]) ).
fof(f6959,plain,
c_emptyset = c_Relation_OImage(c_Relation_Odiag(v_u,t_a),v_a,t_a,t_a),
inference(forward_demodulation,[],[f6952,f574]) ).
fof(f7042,plain,
c_minus(v_a,v_u,tc_set(t_a)) = c_minus(v_a,c_emptyset,tc_set(t_a)),
inference(superposition,[],[f1043,f6959]) ).
fof(f7044,plain,
v_a = c_minus(v_a,v_u,tc_set(t_a)),
inference(forward_demodulation,[],[f7042,f64]) ).
fof(f14035,plain,
( ~ c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| ~ c_in(c_minus(v_a,c_union(v_t,v_u,t_a),tc_set(t_a)),v_A,tc_set(t_a)) ),
inference(resolution,[],[f1661,f57]) ).
fof(f14101,plain,
( ~ c_in(c_minus(v_a,c_union(v_t,v_u,t_a),tc_set(t_a)),v_A,tc_set(t_a))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f14035,f55]) ).
fof(f14111,plain,
( ~ c_in(c_minus(v_a,v_u,tc_set(t_a)),v_A,tc_set(t_a))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f14101,f4967]) ).
fof(f14112,plain,
( ~ c_in(v_a,v_A,tc_set(t_a))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f14111,f7044]) ).
fof(f14113,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f14112,f1]) ).
fof(f14114,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f14113]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f58]) ).
cnf(s50,plain,
spl0_2,
inference(sat_conversion,[],[f4667]) ).
cnf(s88,plain,
~ spl0_3,
inference(sat_conversion,[],[f14114]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s1,s88,s50,s2]) ).
fof(f14115,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ064-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Sun Sep 27 22:38:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.01/3.43 % (240144)Will run a generic schedule for satisfiability detection.
% 21.01/3.43 % (240159)dis+10_1_sil=32000:sp=arity:random_seed=3560971400:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.01/3.43 % (240157)% WARNING: option uhcvi not known.
% 21.01/3.43 % (240160)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1498150887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.01/3.43 % (240157)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2560711001:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.01/3.43 % (240156)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3009868293_2999 on theBenchmark for (2999ds/0Mi)
% 21.01/3.43 % (240158)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1707250891:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.01/3.43 % (240162)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2035186914:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.01/3.43 % (240161)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1018466052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.01/3.43 % TRYING [1]
% 21.01/3.43 % TRYING [2]
% 21.01/3.43 % TRYING [3]
% 21.01/3.43 % TRYING [4]
% 21.01/3.43 % (240159)Instruction limit reached!
% 21.01/3.43 % (240159)------------------------------
% 21.01/3.43 % (240159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.01/3.43 % (240159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.01/3.43 % (240159)CaDiCaL version: 2.1.3
% 21.01/3.43 % (240159)Termination reason: Instruction limit
% 21.01/3.43 % (240159)Termination phase: Saturation
% 21.01/3.43 % (240159)Time elapsed: 0.037 s
% 21.01/3.43 % (240159)Peak memory usage: 12 MB
% 21.01/3.43 % (240159)Instructions burned: 103 (million)
% 21.01/3.43 % (240184)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4218375309:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 21.01/3.43 % TRYING [1]
% 21.01/3.43 % TRYING [2]
% 21.01/3.43 % TRYING [3]
% 21.01/3.43 % TRYING [4]
% 21.01/3.43 % (240160)Instruction limit reached!
% 21.01/3.43 % (240160)------------------------------
% 21.01/3.43 % (240160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.01/3.43 % (240160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.01/3.43 % (240160)CaDiCaL version: 2.1.3
% 21.01/3.43 % (240160)Termination reason: Instruction limit
% 21.01/3.43 % (240160)Termination phase: Saturation
% 21.01/3.43 % (240160)Time elapsed: 0.077 s
% 21.01/3.43 % (240160)Peak memory usage: 12 MB
% 21.01/3.43 % (240160)Instructions burned: 117 (million)
% 21.01/3.43 % (240161)Instruction limit reached!
% 21.01/3.43 % (240161)------------------------------
% 21.01/3.43 % (240161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.01/3.43 % (240161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.01/3.43 % (240161)CaDiCaL version: 2.1.3
% 21.01/3.43 % (240161)Termination reason: Instruction limit
% 21.01/3.43 % (240161)Termination phase: Saturation
% 21.01/3.43 % (240161)Time elapsed: 0.082 s
% 21.01/3.43 % (240161)Peak memory usage: 12 MB
% 21.01/3.43 % (240161)Instructions burned: 131 (million)
% 21.01/3.43 % (240204)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4117172692:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.01/3.43 % (240162)Instruction limit reached!
% 21.01/3.43 % (240162)------------------------------
% 21.01/3.43 % (240162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.01/3.43 % (240162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.01/3.43 % (240162)CaDiCaL version: 2.1.3
% 21.01/3.43 % (240162)Termination reason: Instruction limit
% 21.01/3.43 % (240162)Termination phase: Saturation
% 21.01/3.43 % (240162)Time elapsed: 0.099 s
% 21.01/3.43 % (240162)Peak memory usage: 12 MB
% 21.01/3.43 % (240162)Instructions burned: 160 (million)
% 21.01/3.43 % (240208)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1682418420:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.01/3.43 % TRYING [5]
% 21.01/3.43 % (240216)ott-21_1_sil=16000:fs=off:random_seed=3382601335:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.01/3.43 % (240204)Instruction limit reached!
% 21.01/3.43 % (240204)------------------------------
% 21.01/3.43 % (240204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.01/3.43 % (240204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240204)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240204)Termination reason: Instruction limit
% 27.41/4.36 % (240204)Termination phase: Saturation
% 27.41/4.36 % (240204)Time elapsed: 0.090 s
% 27.41/4.36 % (240204)Peak memory usage: 13 MB
% 27.41/4.36 % (240204)Instructions burned: 131 (million)
% 27.41/4.36 % (240244)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=382320447:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 27.41/4.36 % (240216)Instruction limit reached!
% 27.41/4.36 % (240216)------------------------------
% 27.41/4.36 % (240216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240216)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240216)Termination reason: Instruction limit
% 27.41/4.36 % (240216)Termination phase: Saturation
% 27.41/4.36 % (240216)Time elapsed: 0.112 s
% 27.41/4.36 % (240216)Peak memory usage: 12 MB
% 27.41/4.36 % (240216)Instructions burned: 182 (million)
% 27.41/4.36 % (240255)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2523348439:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 27.41/4.36 % (240184)Instruction limit reached!
% 27.41/4.36 % (240184)------------------------------
% 27.41/4.36 % (240184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240184)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240184)Termination reason: Instruction limit
% 27.41/4.36 % (240184)Termination phase: Finite model building SAT solving
% 27.41/4.36 % (240184)Time elapsed: 0.214 s
% 27.41/4.36 % (240184)Peak memory usage: 22 MB
% 27.41/4.36 % (240184)Instructions burned: 716 (million)
% 27.41/4.36 % TRYING [1]
% 27.41/4.36 % TRYING [2]
% 27.41/4.36 % TRYING [3]
% 27.41/4.36 % (240261)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=715064061:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 27.41/4.36 % TRYING [4]
% 27.41/4.36 % TRYING [6]
% 27.41/4.36 % TRYING [5]
% 27.41/4.36 % (240208)Instruction limit reached!
% 27.41/4.36 % (240208)------------------------------
% 27.41/4.36 % (240208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240208)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240208)Termination reason: Instruction limit
% 27.41/4.36 % (240208)Termination phase: Saturation
% 27.41/4.36 % (240208)Time elapsed: 0.386 s
% 27.41/4.36 % (240208)Peak memory usage: 18 MB
% 27.41/4.36 % (240208)Instructions burned: 686 (million)
% 27.41/4.36 % (240278)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1120932150:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 27.41/4.36 % (240244)Instruction limit reached!
% 27.41/4.36 % (240244)------------------------------
% 27.41/4.36 % (240244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240244)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240244)Termination reason: Instruction limit
% 27.41/4.36 % (240244)Termination phase: Saturation
% 27.41/4.36 % (240244)Time elapsed: 0.308 s
% 27.41/4.36 % (240244)Peak memory usage: 13 MB
% 27.41/4.36 % (240244)Instructions burned: 477 (million)
% 27.41/4.36 % (240280)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=288126335:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 27.41/4.36 % (240261)Instruction limit reached!
% 27.41/4.36 % (240261)------------------------------
% 27.41/4.36 % (240261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240261)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240261)Termination reason: Instruction limit
% 27.41/4.36 % (240261)Termination phase: Saturation
% 27.41/4.36 % (240261)Time elapsed: 0.334 s
% 27.41/4.36 % (240261)Peak memory usage: 20 MB
% 27.41/4.36 % (240261)Instructions burned: 1184 (million)
% 27.41/4.36 % (240255)Instruction limit reached!
% 27.41/4.36 % (240255)------------------------------
% 27.41/4.36 % (240255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240255)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240255)Termination reason: Instruction limit
% 27.41/4.36 % (240255)Termination phase: Finite model building SAT solving
% 27.41/4.36 % (240255)Time elapsed: 0.351 s
% 27.41/4.36 % (240255)Peak memory usage: 27 MB
% 27.41/4.36 % (240255)Instructions burned: 866 (million)
% 27.41/4.36 % (240288)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1387310526:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 27.41/4.36 % (240290)fmb+10_1_sil=64000:random_seed=734905877:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 27.41/4.36 % TRYING [1]
% 27.41/4.36 % TRYING [2]
% 27.41/4.36 % TRYING [3]
% 27.41/4.36 % TRYING [4]
% 27.41/4.36 % TRYING [5]
% 27.41/4.36 % (240280)Instruction limit reached!
% 27.41/4.36 % (240280)------------------------------
% 27.41/4.36 % (240280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240280)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240280)Termination reason: Instruction limit
% 27.41/4.36 % (240280)Termination phase: Saturation
% 27.41/4.36 % (240280)Time elapsed: 0.377 s
% 27.41/4.36 % (240280)Peak memory usage: 18 MB
% 27.41/4.36 % (240280)Instructions burned: 693 (million)
% 27.41/4.36 % (240278)Instruction limit reached!
% 27.41/4.36 % (240278)------------------------------
% 27.41/4.36 % (240278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240278)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240278)Termination reason: Instruction limit
% 27.41/4.36 % (240278)Termination phase: Finite model building constraint generation
% 27.41/4.36 % (240278)Time elapsed: 0.423 s
% 27.41/4.36 % (240278)Peak memory usage: 107 MB
% 27.41/4.36 % (240278)Instructions burned: 889 (million)
% 27.41/4.36 % (240299)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4223440756:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 27.41/4.36 % TRYING [20]
% 27.41/4.36 % (240301)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1374305427:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 27.41/4.36 % TRYING [8]
% 27.41/4.36 % (240288)Instruction limit reached!
% 27.41/4.36 % (240288)------------------------------
% 27.41/4.36 % (240288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240288)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240288)Termination reason: Instruction limit
% 27.41/4.36 % (240288)Termination phase: Saturation
% 27.41/4.36 % (240288)Time elapsed: 0.395 s
% 27.41/4.36 % (240288)Peak memory usage: 17 MB
% 27.41/4.36 % (240288)Instructions burned: 880 (million)
% 27.41/4.36 % (240303)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1453471020:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 27.41/4.36 % TRYING [7]
% 27.41/4.36 % TRYING [6]
% 27.41/4.36 % (240301)Instruction limit reached!
% 27.41/4.36 % (240301)------------------------------
% 27.41/4.36 % (240301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240301)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240301)Termination reason: Instruction limit
% 27.41/4.36 % (240301)Termination phase: Finite model building constraint generation
% 27.41/4.36 % (240301)Time elapsed: 0.541 s
% 27.41/4.36 % (240301)Peak memory usage: 72 MB
% 27.41/4.36 % (240301)Instructions burned: 920 (million)
% 27.41/4.36 % (240324)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=58842257:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 27.41/4.36 % (240324)Instruction limit reached!
% 27.41/4.36 % (240324)------------------------------
% 27.41/4.36 % (240324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240324)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240324)Termination reason: Instruction limit
% 27.41/4.36 % (240324)Termination phase: Saturation
% 27.41/4.36 % (240324)Time elapsed: 1.352 s
% 27.41/4.36 % (240324)Peak memory usage: 24 MB
% 27.41/4.36 % (240324)Instructions burned: 1473 (million)
% 27.41/4.36 % (240348)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2418329657:i=6324_2970 on theBenchmark for (2970ds/6324Mi)
% 27.41/4.36 % (240348)Cannot represent all propositional literals internally
% 27.41/4.36 % (240348)Refutation not found, incomplete strategy
% 27.41/4.36 % (240348)------------------------------
% 27.41/4.36 % (240348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240348)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240348)Termination reason: Refutation not found, incomplete strategy
% 27.41/4.36 % (240348)Time elapsed: 0.004 s
% 27.41/4.36 % (240348)Peak memory usage: 10 MB
% 27.41/4.36 % (240348)Instructions burned: 6 (million)
% 27.41/4.36 % (240348)------------------------------
% 27.41/4.36 % (240348)------------------------------
% 27.41/4.36 % (240350)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1887130707:fmbsr=2.30978:i=2174_2969 on theBenchmark for (2969ds/2174Mi)
% 27.41/4.36 % TRYING [16]
% 27.41/4.36 % TRYING [7]
% 27.41/4.36 % (240303)Instruction limit reached!
% 27.41/4.36 % (240303)------------------------------
% 27.41/4.36 % (240303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.36 % (240303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.36 % (240303)CaDiCaL version: 2.1.3
% 27.41/4.36 % (240303)Termination reason: Instruction limit
% 27.41/4.36 % (240303)Termination phase: Saturation
% 27.41/4.36 % (240303)Time elapsed: 2.453 s
% 27.41/4.36 % (240303)Peak memory usage: 41 MB
% 27.41/4.36 % (240303)Instructions burned: 5131 (million)
% 27.41/4.36 % (240360)ott-2_1_sil=16000:newcnf=on:random_seed=1204695140:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2964 on theBenchmark for (2964ds/869Mi)
% 27.41/4.36 % TRYING [8]
% 27.41/4.36 % (240360) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-240144-240360"...
% 27.41/4.36 % (240360)...printing done.
% 27.41/4.36 % (240360)Refutation found. Thanks to Tanya!
% 27.41/4.36 % SZS status Unsatisfiable for theBenchmark
% 27.41/4.36 % SZS output start Proof for theBenchmark
% See solution above
% 27.41/4.37 % (240360)------------------------------
% 27.41/4.37 % (240360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.41/4.37 % (240360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/4.37 % (240360)CaDiCaL version: 2.1.3
% 27.41/4.37 % (240360)Termination reason: Refutation
% 27.41/4.37 % (240360)Time elapsed: 0.328 s
% 27.41/4.37 % (240360)Peak memory usage: 18 MB
% 27.41/4.37 % (240360)Instructions burned: 653 (million)
% 27.41/4.37 % (240144)Success in time 3.939 s
% 27.41/4.37 % Vampire exiting
%------------------------------------------------------------------------------