TSTP Solution File: PUZ064-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:45:13 EDT 2024
% Result : Unsatisfiable 15.87s 2.66s
% Output : Refutation 15.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 56
% Syntax : Number of formulae : 224 ( 110 unt; 0 def)
% Number of atoms : 357 ( 138 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 241 ( 108 ~; 102 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 32 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 213 ( 213 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104260,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f4553,f5436,f6156,f8394,f11443,f11548,f12893,f14627,f15693,f37719,f37729,f37739,f37751,f38429,f39032,f104253]) ).
fof(f104253,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f104252]) ).
fof(f104252,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f104151,f6632]) ).
fof(f6632,plain,
c_emptyset = c_inter(v_a,v_u,t_a),
inference(superposition,[],[f4685,f6618]) ).
fof(f6618,plain,
v_u = c_minus(v_u,v_a,tc_set(t_a)),
inference(forward_demodulation,[],[f6573,f24]) ).
fof(f24,axiom,
! [X2,X5] : c_uminus(c_uminus(X5,tc_set(X2)),tc_set(X2)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Odouble__complement_0) ).
fof(f6573,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,[],[f514,f6088]) ).
fof(f6088,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,[],[f6034,f698]) ).
fof(f698,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X0,tc_set(X1))
| c_union(X0,X2,X1) = X0 ),
inference(subsumption_resolution,[],[f680,f29]) ).
fof(f29,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f680,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X0,tc_set(X1))
| ~ c_lessequals(X2,X0,tc_set(X1))
| c_union(X0,X2,X1) = X0 ),
inference(resolution,[],[f23,f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))
| c_union(X0,X1,X2) = X0 ),
inference(resolution,[],[f28,f84]) ).
fof(f84,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[],[f21,f29]) ).
fof(f21,axiom,
! [X2,X1,X7,X4] :
( ~ c_lessequals(c_union(X1,X4,X2),X7,tc_set(X2))
| c_lessequals(X1,X7,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
fof(f28,axiom,
! [X2,X1,X4] :
( ~ c_lessequals(X4,X1,tc_set(X2))
| ~ c_lessequals(X1,X4,tc_set(X2))
| X1 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f23,axiom,
! [X2,X1,X7,X4] :
( c_lessequals(c_union(X1,X4,X2),X7,tc_set(X2))
| ~ c_lessequals(X1,X7,tc_set(X2))
| ~ c_lessequals(X4,X7,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
fof(f6034,plain,
c_lessequals(v_a,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f92,f2953]) ).
fof(f2953,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,[],[f2896,f19]) ).
fof(f19,axiom,
! [X2,X5] : c_union(c_emptyset,X5,X2) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f2896,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,[],[f50,f4]) ).
fof(f4,axiom,
c_emptyset = c_inter(c_union(v_a,v_t,t_a),v_u,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f50,plain,
! [X2,X0,X1] : c_union(X0,c_uminus(X1,tc_set(X2)),X2) = c_union(c_inter(X0,X1,X2),c_uminus(X1,tc_set(X2)),X2),
inference(superposition,[],[f14,f11]) ).
fof(f11,axiom,
! [X2,X1,X4] : c_inter(X1,X4,X2) = c_minus(X1,c_uminus(X4,tc_set(X2)),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__Compl_0) ).
fof(f14,axiom,
! [X2,X1,X4] : c_union(c_minus(X4,X1,tc_set(X2)),X1,X2) = c_union(X4,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
fof(f92,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,c_union(c_union(X0,X1,X2),X3,X2),tc_set(X2)),
inference(resolution,[],[f84,f21]) ).
fof(f514,plain,
! [X2,X0,X1] : c_minus(X0,X1,tc_set(X2)) = c_uminus(c_union(c_uminus(X0,tc_set(X2)),X1,X2),tc_set(X2)),
inference(superposition,[],[f24,f9]) ).
fof(f9,axiom,
! [X2,X1,X4] : c_uminus(c_minus(X1,X4,tc_set(X2)),tc_set(X2)) = c_union(c_uminus(X1,tc_set(X2)),X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__Diff__eq_0) ).
fof(f4685,plain,
! [X2,X0,X1] : c_emptyset = c_inter(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(superposition,[],[f513,f2135]) ).
fof(f2135,plain,
! [X2,X0,X1] : c_emptyset = c_minus(X0,c_union(X2,X0,X1),tc_set(X1)),
inference(forward_demodulation,[],[f2093,f10]) ).
fof(f10,axiom,
! [X2] : c_emptyset = c_uminus(c_UNIV,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__UNIV__eq_0) ).
fof(f2093,plain,
! [X2,X0,X1] : c_uminus(c_UNIV,tc_set(X1)) = c_minus(X0,c_union(X2,X0,X1),tc_set(X1)),
inference(superposition,[],[f514,f1328]) ).
fof(f1328,plain,
! [X2,X0,X1] : c_UNIV = c_union(c_uminus(X0,tc_set(X1)),c_union(X2,X0,X1),X1),
inference(superposition,[],[f1063,f18]) ).
fof(f18,axiom,
! [X2,X1,X7,X4] : c_union(c_union(X1,X4,X2),X7,X2) = c_union(X1,c_union(X4,X7,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__assoc_0) ).
fof(f1063,plain,
! [X2,X0,X1] : c_UNIV = c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1),
inference(forward_demodulation,[],[f1013,f233]) ).
fof(f233,plain,
! [X0,X1] : c_UNIV = c_union(X0,c_UNIV,X1),
inference(resolution,[],[f228,f100]) ).
fof(f100,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[],[f22,f29]) ).
fof(f22,axiom,
! [X2,X1,X7,X4] :
( ~ c_lessequals(c_union(X1,X4,X2),X7,tc_set(X2))
| c_lessequals(X4,X7,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f228,plain,
! [X0,X1] :
( ~ c_lessequals(c_UNIV,X0,tc_set(X1))
| c_UNIV = X0 ),
inference(resolution,[],[f28,f111]) ).
fof(f111,plain,
! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)),
inference(superposition,[],[f100,f16]) ).
fof(f16,axiom,
! [X2,X4] : c_UNIV = c_union(c_UNIV,X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__left_0) ).
fof(f1013,plain,
! [X2,X0,X1] : c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1) = c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),c_UNIV,X1),
inference(superposition,[],[f808,f478]) ).
fof(f478,plain,
! [X2,X0,X1] : c_UNIV = c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1),
inference(forward_demodulation,[],[f463,f16]) ).
fof(f463,plain,
! [X2,X0,X1] : c_union(c_UNIV,X2,X1) = c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1),
inference(superposition,[],[f18,f451]) ).
fof(f451,plain,
! [X0,X1] : c_UNIV = c_union(X0,c_uminus(X0,tc_set(X1)),X1),
inference(forward_demodulation,[],[f442,f233]) ).
fof(f442,plain,
! [X0,X1] : c_union(X0,c_UNIV,X1) = c_union(X0,c_uminus(X0,tc_set(X1)),X1),
inference(superposition,[],[f15,f430]) ).
fof(f430,plain,
! [X0,X1] : c_uminus(X0,tc_set(X1)) = c_minus(c_UNIV,X0,tc_set(X1)),
inference(superposition,[],[f48,f12]) ).
fof(f12,axiom,
! [X2,X5] : c_inter(c_UNIV,X5,X2) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__left_0) ).
fof(f48,plain,
! [X2,X0,X1] : c_inter(X2,c_uminus(X0,tc_set(X1)),X1) = c_minus(X2,X0,tc_set(X1)),
inference(superposition,[],[f11,f24]) ).
fof(f15,axiom,
! [X2,X1,X4] : c_union(X1,c_minus(X4,X1,tc_set(X2)),X2) = c_union(X1,X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f808,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_union(X1,X0,X2),X2),
inference(superposition,[],[f705,f18]) ).
fof(f705,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(c_union(X0,X1,X2),X0,X2),
inference(resolution,[],[f698,f84]) ).
fof(f513,plain,
! [X2,X3,X0,X1] : c_inter(X3,c_minus(X0,X1,tc_set(X2)),X2) = c_minus(X3,c_union(c_uminus(X0,tc_set(X2)),X1,X2),tc_set(X2)),
inference(superposition,[],[f11,f9]) ).
fof(f104151,plain,
( c_emptyset != c_inter(v_a,v_u,t_a)
| ~ spl0_1 ),
inference(superposition,[],[f12350,f104026]) ).
fof(f104026,plain,
! [X0] : c_inter(v_a,X0,t_a) = c_inter(v_a,c_union(v_t,X0,t_a),t_a),
inference(superposition,[],[f103985,f1155]) ).
fof(f1155,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(subsumption_resolution,[],[f1116,f1042]) ).
fof(f1042,plain,
! [X2,X0,X1] : c_lessequals(c_union(X1,X0,X2),c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[],[f100,f808]) ).
fof(f1116,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))
| c_union(X0,X1,X2) = c_union(X1,X0,X2) ),
inference(resolution,[],[f1042,f28]) ).
fof(f103985,plain,
! [X0] : c_inter(v_a,X0,t_a) = c_inter(v_a,c_union(X0,v_t,t_a),t_a),
inference(forward_demodulation,[],[f103984,f11]) ).
fof(f103984,plain,
! [X0] : c_minus(v_a,c_uminus(X0,tc_set(t_a)),tc_set(t_a)) = c_inter(v_a,c_union(X0,v_t,t_a),t_a),
inference(forward_demodulation,[],[f103904,f11]) ).
fof(f103904,plain,
! [X0] : c_minus(v_a,c_uminus(X0,tc_set(t_a)),tc_set(t_a)) = c_minus(v_a,c_uminus(c_union(X0,v_t,t_a),tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f19217,f2086]) ).
fof(f2086,plain,
! [X2,X0,X1] : c_uminus(c_union(X0,X2,X1),tc_set(X1)) = c_minus(c_uminus(X0,tc_set(X1)),X2,tc_set(X1)),
inference(superposition,[],[f514,f24]) ).
fof(f19217,plain,
! [X0] : c_minus(v_a,X0,tc_set(t_a)) = c_minus(v_a,c_minus(X0,v_t,tc_set(t_a)),tc_set(t_a)),
inference(forward_demodulation,[],[f19165,f17128]) ).
fof(f17128,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,[],[f2126,f3379]) ).
fof(f3379,plain,
v_a = c_minus(v_a,v_t,tc_set(t_a)),
inference(forward_demodulation,[],[f3339,f24]) ).
fof(f3339,plain,
c_uminus(c_uminus(v_a,tc_set(t_a)),tc_set(t_a)) = c_minus(v_a,v_t,tc_set(t_a)),
inference(superposition,[],[f514,f3334]) ).
fof(f3334,plain,
c_uminus(v_a,tc_set(t_a)) = c_union(c_uminus(v_a,tc_set(t_a)),v_t,t_a),
inference(forward_demodulation,[],[f3330,f20]) ).
fof(f20,axiom,
! [X2,X5] : c_union(X5,c_emptyset,X2) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
fof(f3330,plain,
c_union(c_uminus(v_a,tc_set(t_a)),v_t,t_a) = c_union(c_uminus(v_a,tc_set(t_a)),c_emptyset,t_a),
inference(superposition,[],[f70,f3317]) ).
fof(f3317,plain,
c_emptyset = c_inter(v_t,v_a,t_a),
inference(forward_demodulation,[],[f3316,f10]) ).
fof(f3316,plain,
c_uminus(c_UNIV,tc_set(t_a)) = c_inter(v_t,v_a,t_a),
inference(forward_demodulation,[],[f3273,f11]) ).
fof(f3273,plain,
c_uminus(c_UNIV,tc_set(t_a)) = c_minus(v_t,c_uminus(v_a,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f514,f3263]) ).
fof(f3263,plain,
c_UNIV = c_union(c_uminus(v_t,tc_set(t_a)),c_uminus(v_a,tc_set(t_a)),t_a),
inference(forward_demodulation,[],[f3243,f233]) ).
fof(f3243,plain,
c_union(c_uminus(v_t,tc_set(t_a)),c_uminus(v_a,tc_set(t_a)),t_a) = c_union(c_uminus(v_t,tc_set(t_a)),c_UNIV,t_a),
inference(superposition,[],[f808,f2986]) ).
fof(f2986,plain,
c_UNIV = c_union(c_uminus(v_a,tc_set(t_a)),c_uminus(v_t,tc_set(t_a)),t_a),
inference(superposition,[],[f505,f2952]) ).
fof(f2952,plain,
c_uminus(v_t,tc_set(t_a)) = c_union(v_a,c_uminus(v_t,tc_set(t_a)),t_a),
inference(forward_demodulation,[],[f2895,f19]) ).
fof(f2895,plain,
c_union(v_a,c_uminus(v_t,tc_set(t_a)),t_a) = c_union(c_emptyset,c_uminus(v_t,tc_set(t_a)),t_a),
inference(superposition,[],[f50,f2]) ).
fof(f2,axiom,
c_inter(v_a,v_t,t_a) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f505,plain,
! [X2,X0,X1] : c_UNIV = c_union(c_uminus(X0,tc_set(X1)),c_union(X0,X2,X1),X1),
inference(forward_demodulation,[],[f489,f16]) ).
fof(f489,plain,
! [X2,X0,X1] : c_union(c_UNIV,X2,X1) = c_union(c_uminus(X0,tc_set(X1)),c_union(X0,X2,X1),X1),
inference(superposition,[],[f18,f452]) ).
fof(f452,plain,
! [X0,X1] : c_UNIV = c_union(c_uminus(X0,tc_set(X1)),X0,X1),
inference(forward_demodulation,[],[f443,f16]) ).
fof(f443,plain,
! [X0,X1] : c_union(c_UNIV,X0,X1) = c_union(c_uminus(X0,tc_set(X1)),X0,X1),
inference(superposition,[],[f14,f430]) ).
fof(f70,plain,
! [X2,X0,X1] : c_union(c_uminus(X1,tc_set(X2)),X0,X2) = c_union(c_uminus(X1,tc_set(X2)),c_inter(X0,X1,X2),X2),
inference(superposition,[],[f15,f11]) ).
fof(f2126,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) = c_minus(X0,c_union(X1,X3,X2),tc_set(X2)),
inference(forward_demodulation,[],[f2125,f514]) ).
fof(f2125,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) = c_uminus(c_union(c_uminus(X0,tc_set(X2)),c_union(X1,X3,X2),X2),tc_set(X2)),
inference(forward_demodulation,[],[f2085,f18]) ).
fof(f2085,plain,
! [X2,X3,X0,X1] : c_minus(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) = c_uminus(c_union(c_union(c_uminus(X0,tc_set(X2)),X1,X2),X3,X2),tc_set(X2)),
inference(superposition,[],[f514,f9]) ).
fof(f19165,plain,
! [X0] : c_minus(v_a,c_union(v_t,X0,t_a),tc_set(t_a)) = c_minus(v_a,c_minus(X0,v_t,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f17128,f15]) ).
fof(f12350,plain,
( c_emptyset != c_inter(v_a,c_union(v_t,v_u,t_a),t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f6157,f41]) ).
fof(f41,plain,
( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_1
<=> c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f6157,plain,
( c_emptyset != c_inter(v_a,c_union(v_t,v_u,t_a),t_a)
| ~ c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f1086,f1]) ).
fof(f1,axiom,
c_in(v_a,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1086,plain,
( c_emptyset != c_inter(v_a,c_union(v_t,v_u,t_a),t_a)
| ~ c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| ~ c_in(v_a,v_A,tc_set(t_a)) ),
inference(resolution,[],[f7,f325]) ).
fof(f325,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(superposition,[],[f5,f18]) ).
fof(f5,axiom,
~ 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,axiom,
! [X2,X3,X0,X1] :
( c_in(c_union(X0,X3,X2),c_Mutil_Otiling(X1,X2),tc_set(X2))
| c_emptyset != c_inter(X0,X3,X2)
| ~ c_in(X3,c_Mutil_Otiling(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Mutil_Otiling_OUn_0) ).
fof(f39032,plain,
( spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f35945,f39029,f39025]) ).
fof(f39025,plain,
( spl0_30
<=> c_lessequals(c_union(v_a,v_u,t_a),v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f39029,plain,
( spl0_31
<=> c_lessequals(v_u,v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f35945,plain,
( ~ c_lessequals(v_u,v_a,tc_set(t_a))
| c_lessequals(c_union(v_a,v_u,t_a),v_a,tc_set(t_a)) ),
inference(forward_demodulation,[],[f35711,f8574]) ).
fof(f8574,plain,
v_a = c_minus(v_a,v_u,tc_set(t_a)),
inference(forward_demodulation,[],[f8526,f24]) ).
fof(f8526,plain,
c_uminus(c_uminus(v_a,tc_set(t_a)),tc_set(t_a)) = c_minus(v_a,v_u,tc_set(t_a)),
inference(superposition,[],[f514,f8346]) ).
fof(f8346,plain,
c_uminus(v_a,tc_set(t_a)) = c_union(c_uminus(v_a,tc_set(t_a)),v_u,t_a),
inference(superposition,[],[f705,f7492]) ).
fof(f7492,plain,
c_uminus(v_a,tc_set(t_a)) = c_union(v_u,c_uminus(v_a,tc_set(t_a)),t_a),
inference(forward_demodulation,[],[f7491,f20]) ).
fof(f7491,plain,
c_union(c_uminus(v_a,tc_set(t_a)),c_emptyset,t_a) = c_union(v_u,c_uminus(v_a,tc_set(t_a)),t_a),
inference(forward_demodulation,[],[f7476,f1155]) ).
fof(f7476,plain,
c_union(c_uminus(v_a,tc_set(t_a)),c_emptyset,t_a) = c_union(c_uminus(v_a,tc_set(t_a)),v_u,t_a),
inference(superposition,[],[f70,f7448]) ).
fof(f7448,plain,
c_emptyset = c_inter(v_u,v_a,t_a),
inference(forward_demodulation,[],[f7421,f10]) ).
fof(f7421,plain,
c_uminus(c_UNIV,tc_set(t_a)) = c_inter(v_u,v_a,t_a),
inference(superposition,[],[f24,f7407]) ).
fof(f7407,plain,
c_UNIV = c_uminus(c_inter(v_u,v_a,t_a),tc_set(t_a)),
inference(resolution,[],[f7400,f228]) ).
fof(f7400,plain,
c_lessequals(c_UNIV,c_uminus(c_inter(v_u,v_a,t_a),tc_set(t_a)),tc_set(t_a)),
inference(forward_demodulation,[],[f7360,f508]) ).
fof(f508,plain,
! [X2,X0,X1] : c_union(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),X2) = c_uminus(c_inter(X0,X1,X2),tc_set(X2)),
inference(superposition,[],[f9,f11]) ).
fof(f7360,plain,
c_lessequals(c_UNIV,c_union(c_uminus(v_u,tc_set(t_a)),c_uminus(v_a,tc_set(t_a)),t_a),tc_set(t_a)),
inference(superposition,[],[f1042,f6609]) ).
fof(f6609,plain,
c_UNIV = c_union(c_uminus(v_a,tc_set(t_a)),c_uminus(v_u,tc_set(t_a)),t_a),
inference(superposition,[],[f1328,f6088]) ).
fof(f35711,plain,
( c_lessequals(c_union(v_a,v_u,t_a),v_a,tc_set(t_a))
| ~ c_lessequals(v_u,c_minus(v_a,v_u,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f5570,f8574]) ).
fof(f5570,plain,
! [X2,X0,X1] :
( c_lessequals(c_union(X0,X1,X2),c_minus(X0,X1,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X1,c_minus(X0,X1,tc_set(X2)),tc_set(X2)) ),
inference(resolution,[],[f693,f29]) ).
fof(f693,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))
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
inference(superposition,[],[f23,f14]) ).
fof(f38429,plain,
( spl0_28
| ~ spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f35976,f43,f38426,f38422]) ).
fof(f38422,plain,
( spl0_28
<=> c_lessequals(c_union(v_t,v_u,t_a),v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f38426,plain,
( spl0_29
<=> c_lessequals(v_u,v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f43,plain,
( spl0_2
<=> c_emptyset = c_inter(v_t,v_u,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f35976,plain,
( ~ c_lessequals(v_u,v_t,tc_set(t_a))
| c_lessequals(c_union(v_t,v_u,t_a),v_t,tc_set(t_a))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f35730,f8298]) ).
fof(f8298,plain,
( v_t = c_minus(v_t,v_u,tc_set(t_a))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8250,f24]) ).
fof(f8250,plain,
( c_uminus(c_uminus(v_t,tc_set(t_a)),tc_set(t_a)) = c_minus(v_t,v_u,tc_set(t_a))
| ~ spl0_2 ),
inference(superposition,[],[f514,f7989]) ).
fof(f7989,plain,
( c_uminus(v_t,tc_set(t_a)) = c_union(c_uminus(v_t,tc_set(t_a)),v_u,t_a)
| ~ spl0_2 ),
inference(superposition,[],[f705,f7050]) ).
fof(f7050,plain,
( c_uminus(v_t,tc_set(t_a)) = c_union(v_u,c_uminus(v_t,tc_set(t_a)),t_a)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f7049,f20]) ).
fof(f7049,plain,
( c_union(c_uminus(v_t,tc_set(t_a)),c_emptyset,t_a) = c_union(v_u,c_uminus(v_t,tc_set(t_a)),t_a)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f7034,f1155]) ).
fof(f7034,plain,
( c_union(c_uminus(v_t,tc_set(t_a)),c_emptyset,t_a) = c_union(c_uminus(v_t,tc_set(t_a)),v_u,t_a)
| ~ spl0_2 ),
inference(superposition,[],[f70,f7006]) ).
fof(f7006,plain,
( c_emptyset = c_inter(v_u,v_t,t_a)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6979,f10]) ).
fof(f6979,plain,
( c_uminus(c_UNIV,tc_set(t_a)) = c_inter(v_u,v_t,t_a)
| ~ spl0_2 ),
inference(superposition,[],[f24,f6965]) ).
fof(f6965,plain,
( c_UNIV = c_uminus(c_inter(v_u,v_t,t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f6961,f228]) ).
fof(f6961,plain,
( c_lessequals(c_UNIV,c_uminus(c_inter(v_u,v_t,t_a),tc_set(t_a)),tc_set(t_a))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6922,f508]) ).
fof(f6922,plain,
( c_lessequals(c_UNIV,c_union(c_uminus(v_u,tc_set(t_a)),c_uminus(v_t,tc_set(t_a)),t_a),tc_set(t_a))
| ~ spl0_2 ),
inference(superposition,[],[f1042,f6540]) ).
fof(f6540,plain,
( c_UNIV = c_union(c_uminus(v_t,tc_set(t_a)),c_uminus(v_u,tc_set(t_a)),t_a)
| ~ spl0_2 ),
inference(superposition,[],[f505,f6178]) ).
fof(f6178,plain,
( c_uminus(v_u,tc_set(t_a)) = c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6166,f19]) ).
fof(f6166,plain,
( c_union(c_emptyset,c_uminus(v_u,tc_set(t_a)),t_a) = c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a)
| ~ spl0_2 ),
inference(superposition,[],[f50,f44]) ).
fof(f44,plain,
( c_emptyset = c_inter(v_t,v_u,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f35730,plain,
( c_lessequals(c_union(v_t,v_u,t_a),v_t,tc_set(t_a))
| ~ c_lessequals(v_u,c_minus(v_t,v_u,tc_set(t_a)),tc_set(t_a))
| ~ spl0_2 ),
inference(superposition,[],[f5570,f8298]) ).
fof(f37751,plain,
( spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f35944,f37748,f37744]) ).
fof(f37744,plain,
( spl0_26
<=> c_lessequals(c_union(v_a,v_t,t_a),v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f37748,plain,
( spl0_27
<=> c_lessequals(v_t,v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f35944,plain,
( ~ c_lessequals(v_t,v_a,tc_set(t_a))
| c_lessequals(c_union(v_a,v_t,t_a),v_a,tc_set(t_a)) ),
inference(forward_demodulation,[],[f35710,f3379]) ).
fof(f35710,plain,
( c_lessequals(c_union(v_a,v_t,t_a),v_a,tc_set(t_a))
| ~ c_lessequals(v_t,c_minus(v_a,v_t,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f5570,f3379]) ).
fof(f37739,plain,
( spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f36058,f37736,f37732]) ).
fof(f37732,plain,
( spl0_24
<=> c_lessequals(c_union(v_t,v_u,t_a),v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f37736,plain,
( spl0_25
<=> c_lessequals(v_t,v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f36058,plain,
( ~ c_lessequals(v_t,v_u,tc_set(t_a))
| c_lessequals(c_union(v_t,v_u,t_a),v_u,tc_set(t_a)) ),
inference(forward_demodulation,[],[f36057,f6141]) ).
fof(f6141,plain,
v_u = c_minus(v_u,v_t,tc_set(t_a)),
inference(forward_demodulation,[],[f6097,f24]) ).
fof(f6097,plain,
c_uminus(c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_minus(v_u,v_t,tc_set(t_a)),
inference(superposition,[],[f514,f6086]) ).
fof(f6086,plain,
c_uminus(v_u,tc_set(t_a)) = c_union(c_uminus(v_u,tc_set(t_a)),v_t,t_a),
inference(resolution,[],[f6033,f698]) ).
fof(f6033,plain,
c_lessequals(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f101,f2953]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,c_union(c_union(X1,X0,X2),X3,X2),tc_set(X2)),
inference(resolution,[],[f22,f84]) ).
fof(f36057,plain,
( c_lessequals(c_union(v_t,v_u,t_a),v_u,tc_set(t_a))
| ~ c_lessequals(v_t,c_minus(v_u,v_t,tc_set(t_a)),tc_set(t_a)) ),
inference(forward_demodulation,[],[f35773,f1155]) ).
fof(f35773,plain,
( c_lessequals(c_union(v_u,v_t,t_a),v_u,tc_set(t_a))
| ~ c_lessequals(v_t,c_minus(v_u,v_t,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f5570,f6141]) ).
fof(f37729,plain,
( spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f36056,f37726,f37722]) ).
fof(f37722,plain,
( spl0_22
<=> c_lessequals(c_union(v_a,v_u,t_a),v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f37726,plain,
( spl0_23
<=> c_lessequals(v_a,v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f36056,plain,
( ~ c_lessequals(v_a,v_u,tc_set(t_a))
| c_lessequals(c_union(v_a,v_u,t_a),v_u,tc_set(t_a)) ),
inference(forward_demodulation,[],[f36055,f6618]) ).
fof(f36055,plain,
( c_lessequals(c_union(v_a,v_u,t_a),v_u,tc_set(t_a))
| ~ c_lessequals(v_a,c_minus(v_u,v_a,tc_set(t_a)),tc_set(t_a)) ),
inference(forward_demodulation,[],[f35772,f1155]) ).
fof(f35772,plain,
( c_lessequals(c_union(v_u,v_a,t_a),v_u,tc_set(t_a))
| ~ c_lessequals(v_a,c_minus(v_u,v_a,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f5570,f6618]) ).
fof(f37719,plain,
( spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f35973,f37716,f37712]) ).
fof(f37712,plain,
( spl0_20
<=> c_lessequals(c_union(v_a,v_t,t_a),v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f37716,plain,
( spl0_21
<=> c_lessequals(v_a,v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f35973,plain,
( ~ c_lessequals(v_a,v_t,tc_set(t_a))
| c_lessequals(c_union(v_a,v_t,t_a),v_t,tc_set(t_a)) ),
inference(forward_demodulation,[],[f35972,f3116]) ).
fof(f3116,plain,
v_t = c_minus(v_t,v_a,tc_set(t_a)),
inference(forward_demodulation,[],[f3076,f24]) ).
fof(f3076,plain,
c_uminus(c_uminus(v_t,tc_set(t_a)),tc_set(t_a)) = c_minus(v_t,v_a,tc_set(t_a)),
inference(superposition,[],[f514,f3015]) ).
fof(f3015,plain,
c_uminus(v_t,tc_set(t_a)) = c_union(c_uminus(v_t,tc_set(t_a)),v_a,t_a),
inference(resolution,[],[f2975,f698]) ).
fof(f2975,plain,
c_lessequals(v_a,c_uminus(v_t,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f84,f2952]) ).
fof(f35972,plain,
( c_lessequals(c_union(v_a,v_t,t_a),v_t,tc_set(t_a))
| ~ c_lessequals(v_a,c_minus(v_t,v_a,tc_set(t_a)),tc_set(t_a)) ),
inference(forward_demodulation,[],[f35727,f1155]) ).
fof(f35727,plain,
( c_lessequals(c_union(v_t,v_a,t_a),v_t,tc_set(t_a))
| ~ c_lessequals(v_a,c_minus(v_t,v_a,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f5570,f3116]) ).
fof(f15693,plain,
( spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f8381,f15690,f15686]) ).
fof(f15686,plain,
( spl0_18
<=> v_u = c_uminus(v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f15690,plain,
( spl0_19
<=> c_lessequals(c_uminus(v_a,tc_set(t_a)),v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f8381,plain,
( ~ c_lessequals(c_uminus(v_a,tc_set(t_a)),v_u,tc_set(t_a))
| v_u = c_uminus(v_a,tc_set(t_a)) ),
inference(resolution,[],[f8329,f28]) ).
fof(f8329,plain,
c_lessequals(v_u,c_uminus(v_a,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f84,f7492]) ).
fof(f14627,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8024,f43,f14624,f14620]) ).
fof(f14620,plain,
( spl0_16
<=> v_u = c_uminus(v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f14624,plain,
( spl0_17
<=> c_lessequals(c_uminus(v_t,tc_set(t_a)),v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f8024,plain,
( ~ c_lessequals(c_uminus(v_t,tc_set(t_a)),v_u,tc_set(t_a))
| v_u = c_uminus(v_t,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f7972,f28]) ).
fof(f7972,plain,
( c_lessequals(v_u,c_uminus(v_t,tc_set(t_a)),tc_set(t_a))
| ~ spl0_2 ),
inference(superposition,[],[f84,f7050]) ).
fof(f12893,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12876,f12891,f12888]) ).
fof(f12888,plain,
( spl0_14
<=> ! [X1] : ~ c_lessequals(c_UNIV,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f12891,plain,
( spl0_15
<=> ! [X0] : c_emptyset = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f12876,plain,
! [X0,X1] :
( c_emptyset = X0
| ~ c_lessequals(c_UNIV,c_emptyset,tc_set(X1)) ),
inference(forward_demodulation,[],[f12875,f2268]) ).
fof(f2268,plain,
! [X0,X1] : c_inter(X0,X0,X1) = X0,
inference(superposition,[],[f2129,f11]) ).
fof(f2129,plain,
! [X0,X1] : c_minus(X0,c_uminus(X0,tc_set(X1)),tc_set(X1)) = X0,
inference(forward_demodulation,[],[f2089,f24]) ).
fof(f2089,plain,
! [X0,X1] : c_uminus(c_uminus(X0,tc_set(X1)),tc_set(X1)) = c_minus(X0,c_uminus(X0,tc_set(X1)),tc_set(X1)),
inference(superposition,[],[f514,f17]) ).
fof(f17,axiom,
! [X2,X5] : c_union(X5,X5,X2) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f12875,plain,
! [X0,X1] :
( c_emptyset = c_inter(X0,X0,X1)
| ~ c_lessequals(c_UNIV,c_emptyset,tc_set(X1)) ),
inference(forward_demodulation,[],[f12819,f11]) ).
fof(f12819,plain,
! [X0,X1] :
( ~ c_lessequals(c_UNIV,c_emptyset,tc_set(X1))
| c_emptyset = c_minus(X0,c_uminus(X0,tc_set(X1)),tc_set(X1)) ),
inference(superposition,[],[f2283,f451]) ).
fof(f2283,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_union(X0,X1,X2),c_emptyset,tc_set(X2))
| c_emptyset = c_minus(X0,X1,tc_set(X2)) ),
inference(resolution,[],[f90,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ),
inference(resolution,[],[f28,f26]) ).
fof(f26,axiom,
! [X2,X1] : c_lessequals(c_emptyset,X1,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f90,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,[],[f21,f14]) ).
fof(f11548,plain,
( spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f6089,f11545,f11541]) ).
fof(f11541,plain,
( spl0_12
<=> v_a = c_uminus(v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f11545,plain,
( spl0_13
<=> c_lessequals(c_uminus(v_u,tc_set(t_a)),v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6089,plain,
( ~ c_lessequals(c_uminus(v_u,tc_set(t_a)),v_a,tc_set(t_a))
| v_a = c_uminus(v_u,tc_set(t_a)) ),
inference(resolution,[],[f6034,f28]) ).
fof(f11443,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f6087,f11440,f11436]) ).
fof(f11436,plain,
( spl0_10
<=> v_t = c_uminus(v_u,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f11440,plain,
( spl0_11
<=> c_lessequals(c_uminus(v_u,tc_set(t_a)),v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f6087,plain,
( ~ c_lessequals(c_uminus(v_u,tc_set(t_a)),v_t,tc_set(t_a))
| v_t = c_uminus(v_u,tc_set(t_a)) ),
inference(resolution,[],[f6033,f28]) ).
fof(f8394,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f6181,f8391,f8387,f8383]) ).
fof(f8383,plain,
( spl0_7
<=> c_in(c_UNIV,v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f8387,plain,
( spl0_8
<=> c_emptyset = v_u ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f8391,plain,
( spl0_9
<=> c_in(c_UNIV,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f6181,plain,
( c_in(c_UNIV,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_emptyset != v_u
| ~ c_in(c_UNIV,v_A,tc_set(t_a)) ),
inference(resolution,[],[f1109,f3]) ).
fof(f3,axiom,
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(f1109,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Mutil_Otiling(X2,X1),tc_set(X1))
| c_in(c_UNIV,c_Mutil_Otiling(X2,X1),tc_set(X1))
| c_emptyset != X0
| ~ c_in(c_UNIV,X2,tc_set(X1)) ),
inference(forward_demodulation,[],[f1091,f12]) ).
fof(f1091,plain,
! [X2,X0,X1] :
( c_in(c_UNIV,c_Mutil_Otiling(X2,X1),tc_set(X1))
| c_emptyset != c_inter(c_UNIV,X0,X1)
| ~ c_in(X0,c_Mutil_Otiling(X2,X1),tc_set(X1))
| ~ c_in(c_UNIV,X2,tc_set(X1)) ),
inference(superposition,[],[f7,f16]) ).
fof(f6156,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f6155]) ).
fof(f6155,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f6154,f45]) ).
fof(f45,plain,
( c_emptyset != c_inter(v_t,v_u,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f6154,plain,
c_emptyset = c_inter(v_t,v_u,t_a),
inference(superposition,[],[f4685,f6141]) ).
fof(f5436,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f3391,f5433,f5429]) ).
fof(f5429,plain,
( spl0_5
<=> v_t = c_uminus(v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5433,plain,
( spl0_6
<=> c_lessequals(c_uminus(v_a,tc_set(t_a)),v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3391,plain,
( ~ c_lessequals(c_uminus(v_a,tc_set(t_a)),v_t,tc_set(t_a))
| v_t = c_uminus(v_a,tc_set(t_a)) ),
inference(resolution,[],[f3350,f28]) ).
fof(f3350,plain,
c_lessequals(v_t,c_uminus(v_a,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[],[f100,f3334]) ).
fof(f4553,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3016,f4550,f4546]) ).
fof(f4546,plain,
( spl0_3
<=> v_a = c_uminus(v_t,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4550,plain,
( spl0_4
<=> c_lessequals(c_uminus(v_t,tc_set(t_a)),v_a,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f3016,plain,
( ~ c_lessequals(c_uminus(v_t,tc_set(t_a)),v_a,tc_set(t_a))
| v_a = c_uminus(v_t,tc_set(t_a)) ),
inference(resolution,[],[f2975,f28]) ).
fof(f46,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f30,f43,f39]) ).
fof(f30,plain,
( c_emptyset != c_inter(v_t,v_u,t_a)
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(global_subsumption,[],[f1,f2,f3,f4,f5,f6]) ).
fof(f6,axiom,
( 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))
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:51:26 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (18169)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18174)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18172)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18173)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (18174)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (18176)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (18175)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18177)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (18178)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.42 TRYING [3]
% 0.15/0.43 TRYING [4]
% 0.22/0.54 TRYING [5]
% 1.48/0.56 TRYING [4]
% 3.01/0.78 TRYING [6]
% 7.23/1.44 TRYING [5]
% 7.87/1.48 TRYING [1]
% 7.87/1.48 TRYING [2]
% 7.87/1.48 TRYING [3]
% 8.08/1.51 TRYING [4]
% 8.38/1.55 TRYING [7]
% 8.38/1.61 TRYING [5]
% 10.98/1.93 TRYING [6]
% 15.87/2.65 % (18174)First to succeed.
% 15.87/2.66 % (18174)Refutation found. Thanks to Tanya!
% 15.87/2.66 % SZS status Unsatisfiable for theBenchmark
% 15.87/2.66 % SZS output start Proof for theBenchmark
% See solution above
% 15.87/2.66 % (18174)------------------------------
% 15.87/2.66 % (18174)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 15.87/2.66 % (18174)Termination reason: Refutation
% 15.87/2.66
% 15.87/2.66 % (18174)Memory used [KB]: 31295
% 15.87/2.66 % (18174)Time elapsed: 2.283 s
% 15.87/2.66 % (18174)Instructions burned: 8354 (million)
% 15.87/2.66 % (18174)------------------------------
% 15.87/2.66 % (18174)------------------------------
% 15.87/2.66 % (18169)Success in time 2.268 s
%------------------------------------------------------------------------------