TSTP Solution File: SET863-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 18:25:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of formulae : 103 ( 19 unt; 0 def)
% Number of atoms : 308 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 365 ( 160 ~; 195 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f72,f103,f192,f194,f200,f201,f209,f231,f234,f239]) ).
fof(f239,plain,
( spl4_18
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f238,f225,f228]) ).
fof(f228,plain,
( spl4_18
<=> c_in(v_xa,v_y,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f225,plain,
( spl4_17
<=> ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f238,plain,
( c_in(v_xa,v_y,t_a)
| ~ spl4_17 ),
inference(resolution,[],[f226,f12]) ).
fof(f12,axiom,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f226,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f234,plain,
~ spl4_18,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl4_18 ),
inference(resolution,[],[f230,f13]) ).
fof(f13,axiom,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f230,plain,
( c_in(v_xa,v_y,t_a)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
( spl4_17
| spl4_18
| ~ spl4_6
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f223,f198,f113,f228,f225]) ).
fof(f113,plain,
( spl4_6
<=> ! [X11,X10] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X11,t_a),v_c,sF1)
| ~ c_in(X10,v_x,t_a)
| c_in(X10,X11,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f198,plain,
( spl4_15
<=> ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,sF1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f223,plain,
( ! [X0] :
( c_in(v_xa,v_y,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl4_6
| ~ spl4_15 ),
inference(resolution,[],[f199,f219]) ).
fof(f219,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,sF1)
| c_in(v_xa,X0,t_a) )
| ~ spl4_6 ),
inference(resolution,[],[f217,f19]) ).
fof(f19,plain,
! [X8] :
( ~ c_in(X8,v_c,sF1)
| c_lessequals(X8,v_y,sF1) ),
inference(definition_folding,[],[f14,f16,f16]) ).
fof(f16,plain,
tc_set(t_a) = sF1,
introduced(function_definition,[]) ).
fof(f14,axiom,
! [X8] :
( ~ c_in(X8,v_c,tc_set(t_a))
| c_lessequals(X8,v_y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f217,plain,
( ! [X7] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X7,t_a),v_c,sF1)
| c_in(v_xa,X7,t_a) )
| ~ spl4_6 ),
inference(resolution,[],[f114,f12]) ).
fof(f114,plain,
( ! [X10,X11] :
( ~ c_in(X10,v_x,t_a)
| c_in(X10,X11,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X11,t_a),v_c,sF1) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,sF1)
| ~ c_in(X0,v_x,t_a)
| c_in(X0,X1,t_a) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f209,plain,
( ~ spl4_13
| spl4_5
| ~ spl4_2
| spl4_14 ),
inference(avatar_split_clause,[],[f202,f189,f68,f109,f185]) ).
fof(f185,plain,
( spl4_13
<=> c_in(v_x,v_S,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f109,plain,
( spl4_5
<=> c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f68,plain,
( spl4_2
<=> ! [X0] :
( ~ c_in(X0,v_S,sF1)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),v_c,sF1),sF0,sF2)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,sF1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f189,plain,
( spl4_14
<=> c_in(c_union(c_insert(v_x,c_emptyset,sF1),v_c,sF1),sF0,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f202,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,sF1)
| ~ c_in(v_x,v_S,sF1)
| ~ spl4_2
| spl4_14 ),
inference(resolution,[],[f190,f69]) ).
fof(f69,plain,
( ! [X0] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),v_c,sF1),sF0,sF2)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,sF1)
| ~ c_in(X0,v_S,sF1) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f190,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,sF1),v_c,sF1),sF0,sF2)
| spl4_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f201,plain,
( spl4_6
| ~ spl4_3
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f196,f189,f95,f113]) ).
fof(f95,plain,
( spl4_3
<=> c_in(v_c,sF3,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f196,plain,
( ! [X2,X3] :
( ~ c_in(v_c,sF3,sF2)
| ~ c_in(X3,v_x,t_a)
| c_in(X3,X2,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,sF1) )
| ~ spl4_14 ),
inference(resolution,[],[f191,f91]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,sF1)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| ~ c_in(X1,sF3,sF2) ),
inference(forward_demodulation,[],[f90,f21]) ).
fof(f21,plain,
c_Zorn_Omaxchain(v_S,t_a) = sF3,
introduced(function_definition,[]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,sF1)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,sF2)
| ~ c_in(X2,X0,t_a) ),
inference(forward_demodulation,[],[f89,f16]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a))
| c_in(X2,X3,t_a)
| ~ c_in(X2,X0,t_a)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,sF2) ),
inference(forward_demodulation,[],[f88,f17]) ).
fof(f17,plain,
tc_set(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2) ),
inference(forward_demodulation,[],[f87,f17]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( c_in(X2,X3,t_a)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(sF1))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a))
| ~ c_in(X2,X0,t_a) ),
inference(forward_demodulation,[],[f86,f16]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(X2,X3,t_a)
| ~ c_in(X2,X0,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f81,f16]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(superposition,[],[f6,f15]) ).
fof(f15,plain,
c_Zorn_Ochain(v_S,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X0,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f191,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,sF1),v_c,sF1),sF0,sF2)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f200,plain,
( ~ spl4_3
| spl4_15
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f195,f189,f198,f95]) ).
fof(f195,plain,
( ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,sF1)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(v_c,sF3,sF2) )
| ~ spl4_14 ),
inference(resolution,[],[f191,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,sF2)
| ~ c_in(X2,X0,t_a)
| ~ c_in(X1,sF3,sF2)
| c_in(X2,X3,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1) ),
inference(forward_demodulation,[],[f164,f17]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1)
| ~ c_in(X2,X0,t_a)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1))
| ~ c_in(X1,sF3,sF2)
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f163,f21]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2)
| c_in(X2,X3,t_a)
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f162,f17]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1)
| c_in(X2,X3,t_a)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(sF1))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f161,f16]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1))
| c_in(X2,X3,t_a)
| ~ c_in(X2,X0,t_a) ),
inference(forward_demodulation,[],[f160,f16]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF0,tc_set(sF1))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f155,f16]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF0,tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a)) ),
inference(superposition,[],[f7,f15]) ).
fof(f7,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X6,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X7,tc_set(X2))
| c_in(X4,X7,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f194,plain,
spl4_13,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl4_13 ),
inference(resolution,[],[f187,f20]) ).
fof(f20,plain,
c_in(v_x,v_S,sF1),
inference(definition_folding,[],[f10,f16]) ).
fof(f10,axiom,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f187,plain,
( ~ c_in(v_x,v_S,sF1)
| spl4_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f192,plain,
( ~ spl4_13
| spl4_14
| ~ spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f183,f109,f64,f189,f185]) ).
fof(f64,plain,
( spl4_1
<=> c_in(v_c,sF0,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f183,plain,
( ~ c_in(v_c,sF0,sF2)
| c_in(c_union(c_insert(v_x,c_emptyset,sF1),v_c,sF1),sF0,sF2)
| ~ c_in(v_x,v_S,sF1)
| ~ spl4_5 ),
inference(superposition,[],[f173,f15]) ).
fof(f173,plain,
( ! [X0] :
( c_in(c_union(c_insert(v_x,c_emptyset,sF1),v_c,sF1),c_Zorn_Ochain(X0,t_a),sF2)
| ~ c_in(v_x,X0,sF1)
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),sF2) )
| ~ spl4_5 ),
inference(resolution,[],[f172,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X0,c_Zorn_Ochain(X2,t_a),sF2)
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),c_Zorn_Ochain(X2,t_a),sF2)
| ~ c_in(X1,X2,sF1) ),
inference(forward_demodulation,[],[f79,f17]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,t_a),X1,sF1)
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),c_Zorn_Ochain(X2,t_a),tc_set(sF1))
| ~ c_in(X1,X2,sF1)
| ~ c_in(X0,c_Zorn_Ochain(X2,t_a),sF2) ),
inference(forward_demodulation,[],[f77,f17]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ c_in(X1,X2,sF1)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X0,c_Zorn_Ochain(X2,t_a),tc_set(sF1))
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),c_Zorn_Ochain(X2,t_a),tc_set(sF1)) ),
inference(superposition,[],[f5,f16]) ).
fof(f5,axiom,
! [X2,X0,X4,X5] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X4,X2),X4,tc_set(X2))
| ~ c_in(X4,X5,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
fof(f172,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,sF1)
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,sF1)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,sF1)
| ~ spl4_5 ),
inference(forward_demodulation,[],[f170,f16]) ).
fof(f170,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,sF1)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ spl4_5 ),
inference(resolution,[],[f169,f3]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X3,X2),X3,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f169,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,sF1) )
| ~ spl4_5 ),
inference(resolution,[],[f167,f45]) ).
fof(f45,plain,
! [X0] :
( ~ c_in(X0,v_y,t_a)
| c_in(X0,v_x,t_a) ),
inference(resolution,[],[f31,f23]) ).
fof(f23,plain,
c_lessequals(v_y,v_x,sF1),
inference(definition_folding,[],[f11,f16]) ).
fof(f11,axiom,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF1)
| c_in(X2,X1,t_a)
| ~ c_in(X2,X0,t_a) ),
inference(superposition,[],[f1,f16]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f167,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,sF1) )
| ~ spl4_5 ),
inference(forward_demodulation,[],[f166,f16]) ).
fof(f166,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
| ~ spl4_5 ),
inference(resolution,[],[f154,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f154,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(X0,v_y,t_a) )
| ~ spl4_5 ),
inference(resolution,[],[f111,f31]) ).
fof(f111,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,sF1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f103,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f97,f22]) ).
fof(f22,plain,
c_in(v_c,sF3,sF2),
inference(definition_folding,[],[f8,f17,f16,f21]) ).
fof(f8,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f97,plain,
( ~ c_in(v_c,sF3,sF2)
| spl4_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f72,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f66,f18]) ).
fof(f18,plain,
c_in(v_c,sF0,sF2),
inference(definition_folding,[],[f9,f17,f16,f15]) ).
fof(f9,axiom,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f66,plain,
( ~ c_in(v_c,sF0,sF2)
| spl4_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f70,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f62,f68,f64]) ).
fof(f62,plain,
! [X0] :
( ~ c_in(X0,v_S,sF1)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,sF1)
| ~ c_in(v_c,sF0,sF2)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),v_c,sF1),sF0,sF2) ),
inference(resolution,[],[f42,f19]) ).
fof(f42,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),sF0,sF2)
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2) ),
inference(forward_demodulation,[],[f41,f17]) ).
fof(f41,plain,
! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f40,f17]) ).
fof(f40,plain,
! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X0,sF0,tc_set(sF1))
| ~ c_in(X1,v_S,sF1)
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f39,f16]) ).
fof(f39,plain,
! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| ~ c_in(X0,sF0,tc_set(sF1))
| ~ c_in(X1,v_S,sF1)
| c_in(c_union(c_insert(X1,c_emptyset,sF1),X0,sF1),sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f38,f16]) ).
fof(f38,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,sF1)
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),sF0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| ~ c_in(X0,sF0,tc_set(sF1)) ),
inference(forward_demodulation,[],[f37,f16]) ).
fof(f37,plain,
! [X0,X1] :
( ~ c_in(X0,sF0,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,sF1)
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),sF0,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f34,f16]) ).
fof(f34,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| ~ c_in(X0,sF0,tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),sF0,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X4,X5] :
( ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X0,X4,X2),X0,tc_set(X2))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:28:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (4777)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (4782)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (4785)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (4789)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (4771)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (4771)Refutation not found, incomplete strategy% (4771)------------------------------
% 0.19/0.52 % (4771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4771)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (4771)Memory used [KB]: 5373
% 0.19/0.52 % (4771)Time elapsed: 0.125 s
% 0.19/0.52 % (4771)Instructions burned: 2 (million)
% 0.19/0.52 % (4771)------------------------------
% 0.19/0.52 % (4771)------------------------------
% 0.19/0.52 % (4777)Instruction limit reached!
% 0.19/0.52 % (4777)------------------------------
% 0.19/0.52 % (4777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4770)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (4791)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (4783)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (4778)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (4772)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (4778)Instruction limit reached!
% 0.19/0.52 % (4778)------------------------------
% 0.19/0.52 % (4778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4778)Termination reason: Unknown
% 0.19/0.52 % (4778)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 % (4778)Memory used [KB]: 895
% 0.19/0.52 % (4778)Time elapsed: 0.002 s
% 0.19/0.52 % (4778)Instructions burned: 2 (million)
% 0.19/0.52 % (4778)------------------------------
% 0.19/0.52 % (4778)------------------------------
% 0.19/0.52 % (4774)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (4780)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (4779)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (4781)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (4777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4777)Termination reason: Unknown
% 0.19/0.53 % (4777)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4777)Memory used [KB]: 5500
% 0.19/0.53 % (4777)Time elapsed: 0.124 s
% 0.19/0.53 % (4777)Instructions burned: 7 (million)
% 0.19/0.53 % (4777)------------------------------
% 0.19/0.53 % (4777)------------------------------
% 0.19/0.53 % (4775)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (4784)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (4794)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (4797)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (4798)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (4776)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (4795)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (4786)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (4792)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (4790)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (4773)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (4787)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (4788)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (4773)First to succeed.
% 0.19/0.55 % (4799)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 % (4774)Also succeeded, but the first one will report.
% 0.19/0.55 % (4773)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (4773)------------------------------
% 0.19/0.55 % (4773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (4773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (4773)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (4773)Memory used [KB]: 5628
% 0.19/0.55 % (4773)Time elapsed: 0.150 s
% 0.19/0.55 % (4773)Instructions burned: 9 (million)
% 0.19/0.55 % (4773)------------------------------
% 0.19/0.55 % (4773)------------------------------
% 0.19/0.55 % (4769)Success in time 0.203 s
%------------------------------------------------------------------------------