TSTP Solution File: SET831-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET831-2 : 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 : n010.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 : Sun May 5 09:19:06 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 263 ( 9 unt; 0 def)
% Number of atoms : 751 ( 53 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 805 ( 317 ~; 476 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 312 ( 312 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2001,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f44,f53,f148,f467,f551,f553,f627,f672,f939,f950,f2000]) ).
fof(f2000,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f1999,plain,
( $false
| spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1986,f1135]) ).
fof(f1135,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| spl0_1 ),
inference(subsumption_resolution,[],[f1133,f16]) ).
fof(f16,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl0_1
<=> v_X = c_inter(v_Y,v_Z,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1133,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(resolution,[],[f1130,f13]) ).
fof(f13,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(X3,X2,tc_set(X4))
| ~ c_lessequals(X2,X3,tc_set(X4))
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f1130,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f995,f72]) ).
fof(f72,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f24,f12]) ).
fof(f12,axiom,
! [X2,X3,X4] :
( ~ c_in(c_Main_OsubsetI__1(X2,X3,X4),X3,X4)
| c_lessequals(X2,X3,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f11,f8]) ).
fof(f8,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f11,axiom,
! [X2,X3,X4] :
( c_in(c_Main_OsubsetI__1(X2,X3,X4),X2,X4)
| c_lessequals(X2,X3,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f995,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(X0,v_Z,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f954,f99]) ).
fof(f99,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f25,f12]) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f11,f7]) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f954,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a)) )
| spl0_1 ),
inference(global_subsumption,[],[f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f24,f68,f69,f70,f73,f72,f81,f75,f84,f85,f74,f25,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f126,f125,f124,f83,f129,f131,f132,f133,f134,f135,f136,f137,f138,f130,f110,f150,f153,f152,f154,f155,f156,f127,f165,f164,f163,f166,f168,f171,f162,f347,f350,f123,f386,f385,f384,f345,f396,f401,f420,f346,f426,f430,f448,f2,f5,f951,f4,f952,f3,f953,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ c_lessequals(X0,v_Y,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f953,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(global_subsumption,[],[f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f24,f68,f69,f70,f73,f72,f81,f75,f84,f85,f74,f25,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f126,f125,f124,f83,f129,f131,f132,f133,f134,f135,f136,f137,f138,f130,f110,f150,f153,f152,f154,f155,f156,f127,f165,f164,f163,f166,f168,f171,f162,f347,f350,f123,f386,f385,f384,f345,f396,f401,f420,f346,f426,f430,f448,f6,f2,f5,f951,f4,f952,f3]) ).
fof(f3,axiom,
( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f952,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(global_subsumption,[],[f3,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f24,f68,f69,f70,f73,f72,f81,f75,f84,f85,f74,f25,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f126,f125,f124,f83,f129,f131,f132,f133,f134,f135,f136,f137,f138,f130,f110,f150,f153,f152,f154,f155,f156,f127,f165,f164,f163,f166,f168,f171,f162,f347,f350,f123,f386,f385,f384,f345,f396,f401,f420,f346,f426,f430,f448,f6,f2,f5,f951,f4]) ).
fof(f4,axiom,
( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f951,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(global_subsumption,[],[f3,f4,f1,f16,f23,f7,f8,f11,f12,f27,f10,f29,f13,f34,f32,f9,f61,f24,f68,f69,f70,f73,f72,f81,f75,f84,f85,f74,f25,f93,f94,f96,f97,f100,f99,f108,f102,f111,f112,f113,f101,f60,f126,f125,f124,f83,f129,f131,f132,f133,f134,f135,f136,f137,f138,f130,f110,f150,f153,f152,f154,f155,f156,f127,f165,f164,f163,f166,f168,f171,f162,f347,f350,f123,f386,f385,f384,f345,f396,f401,f420,f346,f426,f430,f448,f6,f2,f5]) ).
fof(f5,axiom,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f2,axiom,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f448,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(v_X,X0,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),X1,t_a),v_Z,t_a) )
| spl0_1 ),
inference(forward_demodulation,[],[f440,f430]) ).
fof(f440,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Z,c_inter(v_X,X0,t_a),t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(superposition,[],[f24,f430]) ).
fof(f430,plain,
( ! [X0] : c_inter(v_X,X0,t_a) = c_inter(v_Z,c_inter(v_X,X0,t_a),t_a)
| spl0_1 ),
inference(subsumption_resolution,[],[f425,f99]) ).
fof(f425,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(v_Z,c_inter(v_X,X0,t_a),t_a),c_inter(v_X,X0,t_a),tc_set(t_a))
| c_inter(v_X,X0,t_a) = c_inter(v_Z,c_inter(v_X,X0,t_a),t_a) )
| spl0_1 ),
inference(resolution,[],[f346,f13]) ).
fof(f426,plain,
( ! [X0,X1] :
( c_in(X0,c_inter(v_Z,c_inter(v_X,X1,t_a),t_a),t_a)
| ~ c_in(X0,c_inter(v_X,X1,t_a),t_a) )
| spl0_1 ),
inference(resolution,[],[f346,f10]) ).
fof(f346,plain,
( ! [X0] : c_lessequals(c_inter(v_X,X0,t_a),c_inter(v_Z,c_inter(v_X,X0,t_a),t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
( ! [X0] :
( c_lessequals(c_inter(v_X,X0,t_a),c_inter(v_Z,c_inter(v_X,X0,t_a),t_a),tc_set(t_a))
| c_lessequals(c_inter(v_X,X0,t_a),c_inter(v_Z,c_inter(v_X,X0,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f162,f24]) ).
fof(f420,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Z,t_a) )
| spl0_1 ),
inference(forward_demodulation,[],[f412,f401]) ).
fof(f412,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Z,c_inter(X0,v_X,t_a),t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(superposition,[],[f24,f401]) ).
fof(f401,plain,
( ! [X0] : c_inter(X0,v_X,t_a) = c_inter(v_Z,c_inter(X0,v_X,t_a),t_a)
| spl0_1 ),
inference(subsumption_resolution,[],[f395,f99]) ).
fof(f395,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(v_Z,c_inter(X0,v_X,t_a),t_a),c_inter(X0,v_X,t_a),tc_set(t_a))
| c_inter(X0,v_X,t_a) = c_inter(v_Z,c_inter(X0,v_X,t_a),t_a) )
| spl0_1 ),
inference(resolution,[],[f345,f13]) ).
fof(f396,plain,
( ! [X0,X1] :
( c_in(X0,c_inter(v_Z,c_inter(X1,v_X,t_a),t_a),t_a)
| ~ c_in(X0,c_inter(X1,v_X,t_a),t_a) )
| spl0_1 ),
inference(resolution,[],[f345,f10]) ).
fof(f345,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,c_inter(X0,v_X,t_a),t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( ! [X0] :
( c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,c_inter(X0,v_X,t_a),t_a),tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,c_inter(X0,v_X,t_a),t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f162,f25]) ).
fof(f384,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(X0,v_X,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),c_inter(X1,v_Z,t_a),t_a),X1,t_a) )
| spl0_1 ),
inference(duplicate_literal_removal,[],[f382]) ).
fof(f382,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(X0,v_X,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),c_inter(X1,v_Z,t_a),t_a),X1,t_a)
| c_lessequals(c_inter(X0,v_X,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f123,f25]) ).
fof(f385,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(v_X,X0,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),c_inter(X1,v_Z,t_a),t_a),X1,t_a) )
| spl0_1 ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f381,plain,
( ! [X0,X1] :
( c_lessequals(c_inter(v_X,X0,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),c_inter(X1,v_Z,t_a),t_a),X1,t_a)
| c_lessequals(c_inter(v_X,X0,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f123,f24]) ).
fof(f386,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a) )
| spl0_1 ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f380,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f123,f11]) ).
fof(f123,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Z,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_inter(X1,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Z,t_a),t_a),X1,t_a) )
| spl0_1 ),
inference(resolution,[],[f60,f29]) ).
fof(f350,plain,
( ! [X0] :
( c_in(X0,c_inter(v_Z,v_X,t_a),t_a)
| ~ c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f347,f10]) ).
fof(f347,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f341,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f162,f11]) ).
fof(f162,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(v_Z,X0,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_inter(v_Z,X0,t_a),tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f127,f29]) ).
fof(f171,plain,
! [X0,X1] : c_inter(X0,X0,X1) = X0,
inference(subsumption_resolution,[],[f167,f72]) ).
fof(f167,plain,
! [X0,X1] :
( ~ c_lessequals(c_inter(X0,X0,X1),X0,tc_set(X1))
| c_inter(X0,X0,X1) = X0 ),
inference(resolution,[],[f166,f13]) ).
fof(f168,plain,
! [X2,X0,X1] :
( c_in(X0,c_inter(X1,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(resolution,[],[f166,f10]) ).
fof(f166,plain,
! [X0,X1] : c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1)),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1))
| c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1)) ),
inference(resolution,[],[f127,f11]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X0,c_inter(c_inter(X1,X2,X3),X0,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(c_inter(X1,X2,X3),X0,X3),X3),X1,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(c_inter(X1,X2,X3),X0,X3),X3),X2,X3) ),
inference(resolution,[],[f127,f9]) ).
fof(f164,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),c_inter(X1,c_inter(X0,X1,X2),X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),c_inter(X1,c_inter(X0,X1,X2),X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X1,c_inter(X0,X1,X2),X2),tc_set(X2)) ),
inference(resolution,[],[f127,f25]) ).
fof(f165,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),c_inter(X0,c_inter(X0,X1,X2),X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),c_inter(X0,c_inter(X0,X1,X2),X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X0,c_inter(X0,X1,X2),X2),tc_set(X2)) ),
inference(resolution,[],[f127,f24]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2)
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2)
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f11]) ).
fof(f156,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(v_Y,v_Z,t_a),t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(X0,c_inter(v_Y,v_Z,t_a),t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f152,f25]) ).
fof(f155,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(v_Y,v_Z,t_a),X0,t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(c_inter(v_Y,v_Z,t_a),X0,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f152,f24]) ).
fof(f154,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_inter(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f152,f11]) ).
fof(f152,plain,
( ! [X0] :
( ~ c_in(X0,c_inter(v_Y,v_Z,t_a),t_a)
| c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f150,f10]) ).
fof(f153,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| spl0_1 ),
inference(subsumption_resolution,[],[f151,f16]) ).
fof(f151,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| spl0_1 ),
inference(resolution,[],[f150,f13]) ).
fof(f150,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f110,f72]) ).
fof(f110,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(X0,v_Z,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f99,f61]) ).
fof(f130,plain,
( ~ c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| v_X = c_inter(v_Z,v_Y,t_a)
| spl0_1 ),
inference(resolution,[],[f129,f13]) ).
fof(f138,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),X1,t_a),v_Y,t_a)
| c_lessequals(c_inter(X0,v_Z,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f135,f25]) ).
fof(f137,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_X,t_a)
| ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Z,X0,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f135,f24]) ).
fof(f136,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_Y,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f135,f11]) ).
fof(f135,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) )
| spl0_1 ),
inference(resolution,[],[f131,f9]) ).
fof(f134,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(v_Z,v_Y,t_a),t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(X0,c_inter(v_Z,v_Y,t_a),t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f131,f25]) ).
fof(f133,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(v_Z,v_Y,t_a),X0,t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(c_inter(v_Z,v_Y,t_a),X0,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f131,f24]) ).
fof(f132,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_inter(v_Z,v_Y,t_a),X0,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f131,f11]) ).
fof(f131,plain,
( ! [X0] :
( ~ c_in(X0,c_inter(v_Z,v_Y,t_a),t_a)
| c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f129,f10]) ).
fof(f129,plain,
( c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| spl0_1 ),
inference(resolution,[],[f83,f99]) ).
fof(f83,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(v_Z,X0,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f72,f61]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,c_inter(X2,X3,X4),X4),X4),X1,X4)
| c_lessequals(X0,c_inter(X1,c_inter(X2,X3,X4),X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,c_inter(X2,X3,X4),X4),X4),X2,X4)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,c_inter(X2,X3,X4),X4),X4),X3,X4) ),
inference(resolution,[],[f60,f9]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X1,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X1,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X1,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X1,X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f25]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f60,f24]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X2,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f9,f12]) ).
fof(f101,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,c_inter(X0,v_X,t_a),tc_set(t_a))
| v_Z = c_inter(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f97,f13]) ).
fof(f113,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,v_X,t_a),t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(X0,c_inter(X1,v_X,t_a),t_a),X2,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f25]) ).
fof(f112,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,v_X,t_a),X1,t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(c_inter(X0,v_X,t_a),X1,t_a),X2,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f24]) ).
fof(f111,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f102,f11]) ).
fof(f102,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_inter(X1,v_X,t_a),t_a)
| c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f97,f10]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))
| c_inter(X1,X0,X2) = X0 ),
inference(resolution,[],[f99,f13]) ).
fof(f100,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(X0,v_X,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),v_X,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f97,f61]) ).
fof(f97,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( ! [X0] :
( c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f25,f32]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,t_a),v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f25,f75]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),X2,X3)
| c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3)) ),
inference(resolution,[],[f25,f7]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),X1,X3)
| c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3)) ),
inference(resolution,[],[f25,f8]) ).
fof(f74,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,c_inter(v_X,X0,t_a),tc_set(t_a))
| v_Z = c_inter(v_X,X0,t_a) )
| spl0_1 ),
inference(resolution,[],[f70,f13]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f75,f24]) ).
fof(f84,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_X,X0,t_a),X1,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f75,f11]) ).
fof(f75,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_inter(v_X,X1,t_a),t_a)
| c_in(X0,v_Z,t_a) )
| spl0_1 ),
inference(resolution,[],[f70,f10]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,c_inter(X0,X1,X2),tc_set(X2))
| c_inter(X0,X1,X2) = X0 ),
inference(resolution,[],[f72,f13]) ).
fof(f73,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(v_X,X0,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(v_X,X0,t_a),v_X,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f70,f61]) ).
fof(f70,plain,
( ! [X0] : c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a))
| spl0_1 ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
( ! [X0] :
( c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a))
| c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f24,f32]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),X1,X2)
| c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2)) ),
inference(resolution,[],[f24,f7]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),X0,X2)
| c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2)) ),
inference(resolution,[],[f24,f8]) ).
fof(f61,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a)) )
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f16]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f32,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_X,t_a)
| c_lessequals(X0,v_Z,tc_set(t_a)) )
| spl0_1 ),
inference(resolution,[],[f29,f12]) ).
fof(f34,plain,
( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| v_X = v_Z
| spl0_1 ),
inference(resolution,[],[f13,f23]) ).
fof(f29,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_X,t_a) )
| spl0_1 ),
inference(resolution,[],[f10,f23]) ).
fof(f10,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X3,tc_set(X4))
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f27,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( c_lessequals(X0,X0,tc_set(X1))
| c_lessequals(X0,X0,tc_set(X1)) ),
inference(resolution,[],[f12,f11]) ).
fof(f23,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| spl0_1 ),
inference(subsumption_resolution,[],[f2,f16]) ).
fof(f1,axiom,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1986,plain,
( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_7 ),
inference(superposition,[],[f1957,f143]) ).
fof(f143,plain,
( v_X = c_inter(v_Z,v_Y,t_a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_7
<=> v_X = c_inter(v_Z,v_Y,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1957,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f1930]) ).
fof(f1930,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f126,f25]) ).
fof(f950,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f24,f68,f69,f72,f81,f25,f93,f94,f99,f108,f60,f126,f125,f124,f127,f165,f164,f163,f166,f168,f171,f6,f2,f17,f484,f494,f477,f518,f519,f479,f570,f571,f572,f487,f488,f588,f589,f593,f594,f517,f635,f636,f639,f647,f648,f649,f644,f654,f655,f656,f638,f643,f490,f927,f926,f578,f579,f580,f483,f478,f941,f942,f944,f945,f947,f948,f20]) ).
fof(f20,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_2
<=> c_lessequals(v_X,v_Y,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f948,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f24,f68,f69,f72,f81,f25,f93,f94,f99,f108,f60,f126,f125,f124,f127,f165,f164,f163,f166,f168,f171,f6,f2,f17,f484,f494,f477,f518,f519,f479,f570,f571,f572,f487,f488,f588,f589,f593,f594,f517,f635,f636,f639,f647,f648,f649,f644,f654,f655,f656,f638,f643,f490,f927,f926,f578,f579,f580,f483,f478,f941,f942,f944,f945,f947]) ).
fof(f947,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f946,f17]) ).
fof(f946,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f5,f484]) ).
fof(f945,plain,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f24,f68,f69,f72,f81,f25,f93,f94,f99,f108,f60,f126,f125,f124,f127,f165,f164,f163,f166,f168,f171,f6,f2,f17,f484,f494,f477,f518,f519,f479,f570,f571,f572,f487,f488,f588,f589,f593,f594,f517,f635,f636,f639,f647,f648,f649,f644,f654,f655,f656,f638,f643,f490,f927,f926,f578,f579,f580,f483,f478,f941,f942,f944]) ).
fof(f944,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f943,f17]) ).
fof(f943,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f4,f484]) ).
fof(f942,plain,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(global_subsumption,[],[f5,f3,f4,f1,f7,f8,f11,f12,f27,f10,f13,f9,f24,f68,f69,f72,f81,f25,f93,f94,f99,f108,f60,f126,f125,f124,f127,f165,f164,f163,f166,f168,f171,f6,f2,f17,f484,f494,f477,f518,f519,f479,f570,f571,f572,f487,f488,f588,f589,f593,f594,f517,f635,f636,f639,f647,f648,f649,f644,f654,f655,f656,f638,f643,f490,f927,f926,f578,f579,f580,f483,f478,f941]) ).
fof(f941,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f940,f17]) ).
fof(f940,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f3,f484]) ).
fof(f478,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f8,f17]) ).
fof(f483,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f72,f17]) ).
fof(f580,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f575,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f487,f12]) ).
fof(f579,plain,
( c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f576]) ).
fof(f576,plain,
( c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f487,f127]) ).
fof(f578,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Y,t_a),t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f577]) ).
fof(f577,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Y,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f487,f60]) ).
fof(f926,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),v_X,t_a),v_Y,t_a)
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f924]) ).
fof(f924,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),v_X,t_a),v_Y,t_a)
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a))
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f490,f25]) ).
fof(f927,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),v_X,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f923]) ).
fof(f923,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),v_X,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a))
| c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f490,f24]) ).
fof(f490,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f489,f17]) ).
fof(f489,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f482,f17]) ).
fof(f482,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(v_Y,v_Z,t_a),t_a),v_Y,t_a)
| c_lessequals(X0,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f17]) ).
fof(f643,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,c_inter(v_X,X0,t_a),tc_set(t_a))
| v_Z = c_inter(v_X,X0,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f636,f13]) ).
fof(f638,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,c_inter(X0,v_X,t_a),tc_set(t_a))
| v_Z = c_inter(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f635,f13]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f644,f25]) ).
fof(f655,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f644,f24]) ).
fof(f654,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_X,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f644,f11]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_inter(v_X,X1,t_a),t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f636,f10]) ).
fof(f649,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,v_X,t_a),t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(X0,c_inter(X1,v_X,t_a),t_a),X2,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f639,f25]) ).
fof(f648,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,v_X,t_a),X1,t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(c_inter(X0,v_X,t_a),X1,t_a),X2,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f639,f24]) ).
fof(f647,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Z,t_a)
| c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f639,f11]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_inter(X1,v_X,t_a),t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f635,f10]) ).
fof(f636,plain,
( ! [X0] : c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f633]) ).
fof(f633,plain,
( ! [X0] :
( c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a))
| c_lessequals(c_inter(v_X,X0,t_a),v_Z,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f517,f24]) ).
fof(f635,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
( ! [X0] :
( c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),v_Z,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f517,f25]) ).
fof(f517,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_Z,t_a),v_X,t_a)
| c_lessequals(X0,v_Z,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f477,f12]) ).
fof(f594,plain,
( v_X = c_inter(v_Z,v_X,t_a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f592,f99]) ).
fof(f592,plain,
( ~ c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))
| v_X = c_inter(v_Z,v_X,t_a)
| ~ spl0_1 ),
inference(resolution,[],[f589,f13]) ).
fof(f593,plain,
( ! [X0] :
( c_in(X0,c_inter(v_Z,v_X,t_a),t_a)
| ~ c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f589,f10]) ).
fof(f589,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f585,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f488,f127]) ).
fof(f588,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f488,f60]) ).
fof(f488,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f481,f17]) ).
fof(f481,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f25,f17]) ).
fof(f487,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f480,f17]) ).
fof(f480,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(superposition,[],[f24,f17]) ).
fof(f572,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),X1,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(c_inter(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(X0,v_Z,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f479,f25]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_inter(v_Z,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f479,f24]) ).
fof(f570,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f479,f11]) ).
fof(f479,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f9,f17]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Z,t_a),t_a),v_X,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Z,t_a),t_a),X1,t_a)
| c_lessequals(X0,c_inter(X1,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f477,f60]) ).
fof(f518,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(v_Z,X0,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_inter(v_Z,X0,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f477,f127]) ).
fof(f477,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(superposition,[],[f7,f17]) ).
fof(f494,plain,
( ! [X0] :
( c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_X,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f484,f10]) ).
fof(f484,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f99,f17]) ).
fof(f17,plain,
( v_X = c_inter(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f939,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f938,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f936,f558]) ).
fof(f558,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f557,f17]) ).
fof(f557,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f473,f484]) ).
fof(f473,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f5,f21]) ).
fof(f21,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f936,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f933,f673]) ).
fof(f673,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f663,f11]) ).
fof(f663,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f661,f10]) ).
fof(f661,plain,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f660,f17]) ).
fof(f660,plain,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f475,f484]) ).
fof(f475,plain,
( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f3,f21]) ).
fof(f933,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Y,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f931,f558]) ).
fof(f931,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Y,t_a)
| c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f919]) ).
fof(f919,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Y,t_a)
| c_lessequals(v_x,v_X,tc_set(t_a))
| c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f490,f628]) ).
fof(f628,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f618,f11]) ).
fof(f618,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f616,f10]) ).
fof(f616,plain,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f615,f17]) ).
fof(f615,plain,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f474,f484]) ).
fof(f474,plain,
( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f4,f21]) ).
fof(f672,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f662,f19,f15,f669,f665]) ).
fof(f665,plain,
( spl0_11
<=> v_Y = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f669,plain,
( spl0_12
<=> c_lessequals(v_Y,v_x,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f662,plain,
( ~ c_lessequals(v_Y,v_x,tc_set(t_a))
| v_Y = v_x
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f661,f13]) ).
fof(f627,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f617,f19,f15,f624,f620]) ).
fof(f620,plain,
( spl0_9
<=> v_Z = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f624,plain,
( spl0_10
<=> c_lessequals(v_Z,v_x,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f617,plain,
( ~ c_lessequals(v_Z,v_x,tc_set(t_a))
| v_Z = v_x
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f616,f13]) ).
fof(f553,plain,
( spl0_8
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f552,f19,f15,f145]) ).
fof(f145,plain,
( spl0_8
<=> c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f552,plain,
( c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f520,f11]) ).
fof(f520,plain,
( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Z,v_Y,t_a),t_a),v_X,t_a)
| c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f477,f287]) ).
fof(f287,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Y,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f281]) ).
fof(f281,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Y,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Y,t_a),tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f122,f11]) ).
fof(f122,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Y,t_a),t_a),v_X,t_a)
| c_lessequals(X0,c_inter(X1,v_Y,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,v_Y,t_a),t_a),X1,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f60,f28]) ).
fof(f28,plain,
( ! [X0] :
( c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f10,f21]) ).
fof(f551,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f550,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f549,f147]) ).
fof(f147,plain,
( ~ c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| spl0_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f549,plain,
( c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(resolution,[],[f521,f11]) ).
fof(f521,plain,
( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(v_Z,v_Y,t_a),t_a),v_X,t_a)
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f520,f147]) ).
fof(f467,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f463,f147]) ).
fof(f463,plain,
( c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f456]) ).
fof(f456,plain,
( c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f287,f374]) ).
fof(f374,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f368,f351]) ).
fof(f351,plain,
( v_X = c_inter(v_Z,v_X,t_a)
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f349,f103]) ).
fof(f103,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f2,f6,f5,f3,f4,f1,f21,f16,f23,f7,f8,f11,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f60,f61,f24,f68,f69,f70,f73,f71,f77,f76,f79,f72,f81,f83,f75,f84,f85,f78,f87,f88,f74,f25,f99,f98,f93,f94,f95,f96,f97,f100]) ).
fof(f95,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(v_X,X1,t_a),t_a),X2,t_a),v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f78]) ).
fof(f98,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f91,plain,
( ! [X0] :
( c_lessequals(c_inter(X0,v_X,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),v_Y,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f31]) ).
fof(f88,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,t_a),v_Y,t_a)
| c_lessequals(c_inter(c_inter(v_X,X0,t_a),X1,t_a),X2,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f78,f24]) ).
fof(f87,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(v_X,X0,t_a),X1,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_X,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f78,f11]) ).
fof(f78,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_inter(v_X,X1,t_a),t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f10]) ).
fof(f79,plain,
( ! [X0] :
( ~ c_lessequals(v_X,c_inter(v_X,X0,t_a),tc_set(t_a))
| v_X = c_inter(v_X,X0,t_a) )
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f76,f13]) ).
fof(f76,plain,
( ! [X0] : c_lessequals(c_inter(v_X,X0,t_a),v_X,tc_set(t_a))
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f2,f6,f5,f3,f4,f1,f21,f16,f23,f7,f8,f11,f25,f12,f27,f10,f28,f29,f13,f33,f34,f31,f32,f9,f60,f61,f24,f72,f71,f68,f69,f70,f73]) ).
fof(f77,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_inter(v_X,X0,t_a),tc_set(t_a))
| v_Y = c_inter(v_X,X0,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f13]) ).
fof(f71,plain,
( ! [X0] : c_lessequals(c_inter(v_X,X0,t_a),v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( ! [X0] :
( c_lessequals(c_inter(v_X,X0,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(v_X,X0,t_a),v_Y,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f24,f31]) ).
fof(f31,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_Y,t_a),v_X,t_a)
| c_lessequals(X0,v_Y,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f33,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| v_X = v_Y
| ~ spl0_2 ),
inference(resolution,[],[f13,f21]) ).
fof(f349,plain,
( ~ c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))
| v_X = c_inter(v_Z,v_X,t_a)
| spl0_1 ),
inference(resolution,[],[f347,f13]) ).
fof(f368,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Z,v_X,t_a),X0,tc_set(t_a)) )
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f24,f351]) ).
fof(f148,plain,
( spl0_7
| ~ spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f130,f15,f145,f141]) ).
fof(f53,plain,
( spl0_5
| ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f34,f15,f50,f46]) ).
fof(f46,plain,
( spl0_5
<=> v_X = v_Z ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f50,plain,
( spl0_6
<=> c_lessequals(v_Z,v_X,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f44,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f33,f19,f41,f37]) ).
fof(f37,plain,
( spl0_3
<=> v_X = v_Y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f41,plain,
( spl0_4
<=> c_lessequals(v_Y,v_X,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f19,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.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 : Fri May 3 16:57:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (28392)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28395)WARNING: value z3 for option sas not known
% 0.15/0.37 % (28393)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (28396)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (28394)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (28397)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)
% 0.15/0.37 % (28395)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)
% 0.15/0.37 % (28398)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (28399)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 [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 % (28395)First to succeed.
% 0.22/0.44 % (28395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28392"
% 0.22/0.44 % (28395)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (28395)------------------------------
% 0.22/0.45 % (28395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45 % (28395)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (28395)Memory used [KB]: 1424
% 0.22/0.45 % (28395)Time elapsed: 0.071 s
% 0.22/0.45 % (28395)Instructions burned: 114 (million)
% 0.22/0.45 % (28392)Success in time 0.087 s
%------------------------------------------------------------------------------