TSTP Solution File: SET831-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET831-2 : 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 : n024.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 18:25:47 EDT 2022
% Result : Unsatisfiable 1.71s 0.62s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 113 ( 10 unt; 0 def)
% Number of atoms : 311 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 354 ( 156 ~; 191 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1235,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f44,f49,f50,f54,f71,f75,f447,f483,f1234]) ).
fof(f1234,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1233,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f1227,f506]) ).
fof(f506,plain,
( ~ c_lessequals(v_X,sF1,sF0)
| spl2_2
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f505,f29]) ).
fof(f29,plain,
( v_X != sF1
| spl2_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl2_2
<=> v_X = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f505,plain,
( v_X = sF1
| ~ c_lessequals(v_X,sF1,sF0)
| ~ spl2_7 ),
inference(resolution,[],[f504,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,sF0)
| X0 = X1
| ~ c_lessequals(X0,X1,sF0) ),
inference(superposition,[],[f13,f14]) ).
fof(f14,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
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(f504,plain,
( c_lessequals(sF1,v_X,sF0)
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f502,f175]) ).
fof(f175,plain,
c_lessequals(sF1,v_Y,sF0),
inference(superposition,[],[f171,f15]) ).
fof(f15,plain,
c_inter(v_Y,v_Z,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f171,plain,
! [X0,X1] : c_lessequals(c_inter(X0,X1,t_a),X0,sF0),
inference(superposition,[],[f144,f14]) ).
fof(f144,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f136,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,[],[f59,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(f59,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(f502,plain,
( ~ c_lessequals(sF1,v_Y,sF0)
| c_lessequals(sF1,v_X,sF0)
| ~ spl2_7 ),
inference(resolution,[],[f181,f53]) ).
fof(f53,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_Z,sF0)
| ~ c_lessequals(X0,v_Y,sF0)
| c_lessequals(X0,v_X,sF0) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl2_7
<=> ! [X0] :
( c_lessequals(X0,v_X,sF0)
| ~ c_lessequals(X0,v_Y,sF0)
| ~ c_lessequals(X0,v_Z,sF0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f181,plain,
c_lessequals(sF1,v_Z,sF0),
inference(forward_demodulation,[],[f179,f14]) ).
fof(f179,plain,
c_lessequals(sF1,v_Z,tc_set(t_a)),
inference(superposition,[],[f160,f15]) ).
fof(f160,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,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,[],[f60,f12]) ).
fof(f60,plain,
! [X6,X7,X4,X5] :
( c_in(c_Main_OsubsetI__1(c_inter(X4,X5,X6),X7,X6),X5,X6)
| c_lessequals(c_inter(X4,X5,X6),X7,tc_set(X6)) ),
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(f1227,plain,
( c_lessequals(v_X,sF1,sF0)
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(resolution,[],[f1224,f945]) ).
fof(f945,plain,
( ! [X3] :
( c_in(c_Main_OsubsetI__1(v_X,X3,t_a),v_Y,t_a)
| c_lessequals(v_X,X3,sF0) )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f935,f14]) ).
fof(f935,plain,
( ! [X3] :
( c_lessequals(v_X,X3,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X3,t_a),v_Y,t_a) )
| ~ spl2_1 ),
inference(superposition,[],[f59,f899]) ).
fof(f899,plain,
( v_X = c_inter(v_Y,v_X,t_a)
| ~ spl2_1 ),
inference(resolution,[],[f885,f24]) ).
fof(f24,plain,
( c_lessequals(v_X,v_Y,sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl2_1
<=> c_lessequals(v_X,v_Y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f885,plain,
! [X2,X1] :
( ~ c_lessequals(X1,X2,sF0)
| c_inter(X2,X1,t_a) = X1 ),
inference(resolution,[],[f709,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_inter(X1,X0,t_a),sF0)
| c_inter(X1,X0,t_a) = X0 ),
inference(resolution,[],[f180,f84]) ).
fof(f180,plain,
! [X0,X1] : c_lessequals(c_inter(X0,X1,t_a),X1,sF0),
inference(superposition,[],[f160,f14]) ).
fof(f709,plain,
! [X10,X11] :
( c_lessequals(X10,c_inter(X11,X10,t_a),sF0)
| ~ c_lessequals(X10,X11,sF0) ),
inference(duplicate_literal_removal,[],[f708]) ).
fof(f708,plain,
! [X10,X11] :
( c_lessequals(X10,c_inter(X11,X10,t_a),sF0)
| ~ c_lessequals(X10,X11,sF0)
| c_lessequals(X10,c_inter(X11,X10,t_a),sF0) ),
inference(forward_demodulation,[],[f689,f14]) ).
fof(f689,plain,
! [X10,X11] :
( c_lessequals(X10,c_inter(X11,X10,t_a),tc_set(t_a))
| ~ c_lessequals(X10,X11,sF0)
| c_lessequals(X10,c_inter(X11,X10,t_a),sF0) ),
inference(resolution,[],[f264,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X2,t_a),X1,t_a)
| ~ c_lessequals(X0,X1,sF0)
| c_lessequals(X0,X2,sF0) ),
inference(forward_demodulation,[],[f79,f14]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF0)
| c_lessequals(X0,X2,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(X0,X2,t_a),X1,t_a) ),
inference(resolution,[],[f76,f11]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ c_in(X2,X0,t_a)
| ~ c_lessequals(X0,X1,sF0)
| c_in(X2,X1,t_a) ),
inference(superposition,[],[f10,f14]) ).
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(f264,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,[],[f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2) ),
inference(resolution,[],[f129,f11]) ).
fof(f129,plain,
! [X14,X15,X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,c_inter(X13,X14,X15),X15),X14,X15)
| c_lessequals(X12,c_inter(X13,X14,X15),tc_set(X15))
| ~ c_in(c_Main_OsubsetI__1(X12,c_inter(X13,X14,X15),X15),X13,X15) ),
inference(resolution,[],[f9,f12]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f1224,plain,
( ~ c_in(c_Main_OsubsetI__1(v_X,sF1,t_a),v_Y,t_a)
| spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f1221,f506]) ).
fof(f1221,plain,
( c_lessequals(v_X,sF1,sF0)
| ~ c_in(c_Main_OsubsetI__1(v_X,sF1,t_a),v_Y,t_a)
| ~ spl2_4 ),
inference(duplicate_literal_removal,[],[f1215]) ).
fof(f1215,plain,
( ~ c_in(c_Main_OsubsetI__1(v_X,sF1,t_a),v_Y,t_a)
| c_lessequals(v_X,sF1,sF0)
| c_lessequals(v_X,sF1,sF0)
| ~ spl2_4 ),
inference(resolution,[],[f964,f480]) ).
fof(f480,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,sF1,t_a),v_Z,t_a)
| c_lessequals(X0,sF1,sF0)
| ~ c_in(c_Main_OsubsetI__1(X0,sF1,t_a),v_Y,t_a) ),
inference(forward_demodulation,[],[f261,f14]) ).
fof(f261,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,sF1,t_a),v_Z,t_a)
| c_lessequals(X0,sF1,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,sF1,t_a),v_Y,t_a) ),
inference(superposition,[],[f129,f15]) ).
fof(f964,plain,
( ! [X3] :
( c_in(c_Main_OsubsetI__1(v_X,X3,t_a),v_Z,t_a)
| c_lessequals(v_X,X3,sF0) )
| ~ spl2_4 ),
inference(forward_demodulation,[],[f955,f14]) ).
fof(f955,plain,
( ! [X3] :
( c_lessequals(v_X,X3,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X3,t_a),v_Z,t_a) )
| ~ spl2_4 ),
inference(superposition,[],[f59,f900]) ).
fof(f900,plain,
( v_X = c_inter(v_Z,v_X,t_a)
| ~ spl2_4 ),
inference(resolution,[],[f885,f36]) ).
fof(f36,plain,
( c_lessequals(v_X,v_Z,sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_4
<=> c_lessequals(v_X,v_Z,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f483,plain,
( spl2_6
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f457,f52,f40,f31,f46]) ).
fof(f46,plain,
( spl2_6
<=> c_lessequals(v_x,v_X,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f31,plain,
( spl2_3
<=> c_lessequals(v_x,v_Z,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f40,plain,
( spl2_5
<=> c_lessequals(v_x,v_Y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f457,plain,
( c_lessequals(v_x,v_X,sF0)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f456,f42]) ).
fof(f42,plain,
( c_lessequals(v_x,v_Y,sF0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f456,plain,
( ~ c_lessequals(v_x,v_Y,sF0)
| c_lessequals(v_x,v_X,sF0)
| ~ spl2_3
| ~ spl2_7 ),
inference(resolution,[],[f53,f33]) ).
fof(f33,plain,
( c_lessequals(v_x,v_Z,sF0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f447,plain,
( spl2_7
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f438,f27,f52]) ).
fof(f438,plain,
( ! [X5] :
( c_lessequals(X5,v_X,sF0)
| ~ c_lessequals(X5,v_Z,sF0)
| ~ c_lessequals(X5,v_Y,sF0) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f434]) ).
fof(f434,plain,
( ! [X5] :
( ~ c_lessequals(X5,v_Y,sF0)
| c_lessequals(X5,v_X,sF0)
| ~ c_lessequals(X5,v_Z,sF0)
| c_lessequals(X5,v_X,sF0) )
| ~ spl2_2 ),
inference(resolution,[],[f412,f82]) ).
fof(f412,plain,
( ! [X5] :
( ~ c_in(c_Main_OsubsetI__1(X5,v_X,t_a),v_Y,t_a)
| ~ c_lessequals(X5,v_Z,sF0)
| c_lessequals(X5,v_X,sF0) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f408,plain,
( ! [X5] :
( c_lessequals(X5,v_X,sF0)
| ~ c_lessequals(X5,v_Z,sF0)
| ~ c_in(c_Main_OsubsetI__1(X5,v_X,t_a),v_Y,t_a)
| c_lessequals(X5,v_X,sF0) )
| ~ spl2_2 ),
inference(resolution,[],[f278,f82]) ).
fof(f278,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| c_lessequals(X0,v_X,sF0)
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f277,f28]) ).
fof(f28,plain,
( v_X = sF1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f277,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,sF1,sF0) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f276,f14]) ).
fof(f276,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,sF1,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f275,f28]) ).
fof(f275,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,sF1,t_a),v_Y,t_a)
| c_lessequals(X0,sF1,tc_set(t_a)) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f261,f28]) ).
fof(f75,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f73,f25]) ).
fof(f25,plain,
( ~ c_lessequals(v_X,v_Y,sF0)
| spl2_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f73,plain,
( c_lessequals(v_X,v_Y,sF0)
| spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f72,f14]) ).
fof(f72,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f66,f25]) ).
fof(f66,plain,
( c_lessequals(v_X,v_Y,sF0)
| c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl2_2 ),
inference(resolution,[],[f12,f63]) ).
fof(f63,plain,
( ! [X8] :
( c_in(c_Main_OsubsetI__1(v_X,X8,t_a),v_Y,t_a)
| c_lessequals(v_X,X8,sF0) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f61,f14]) ).
fof(f61,plain,
( ! [X8] :
( c_in(c_Main_OsubsetI__1(v_X,X8,t_a),v_Y,t_a)
| c_lessequals(v_X,X8,tc_set(t_a)) )
| ~ spl2_2 ),
inference(resolution,[],[f11,f58]) ).
fof(f58,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f57,f28]) ).
fof(f57,plain,
! [X0] :
( ~ c_in(X0,sF1,t_a)
| c_in(X0,v_Y,t_a) ),
inference(superposition,[],[f8,f15]) ).
fof(f71,plain,
( spl2_4
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f70,f27,f35]) ).
fof(f70,plain,
( c_lessequals(v_X,v_Z,sF0)
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
( c_lessequals(v_X,v_Z,sF0)
| c_lessequals(v_X,v_Z,sF0)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f67,f14]) ).
fof(f67,plain,
( c_lessequals(v_X,v_Z,sF0)
| c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl2_2 ),
inference(resolution,[],[f12,f64]) ).
fof(f64,plain,
( ! [X9] :
( c_in(c_Main_OsubsetI__1(v_X,X9,t_a),v_Z,t_a)
| c_lessequals(v_X,X9,sF0) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f62,f14]) ).
fof(f62,plain,
( ! [X9] :
( c_in(c_Main_OsubsetI__1(v_X,X9,t_a),v_Z,t_a)
| c_lessequals(v_X,X9,tc_set(t_a)) )
| ~ spl2_2 ),
inference(resolution,[],[f11,f56]) ).
fof(f56,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f55,f28]) ).
fof(f55,plain,
! [X0] :
( ~ c_in(X0,sF1,t_a)
| c_in(X0,v_Z,t_a) ),
inference(superposition,[],[f7,f15]) ).
fof(f54,plain,
( spl2_2
| spl2_7 ),
inference(avatar_split_clause,[],[f19,f52,f27]) ).
fof(f19,plain,
! [X0] :
( c_lessequals(X0,v_X,sF0)
| ~ c_lessequals(X0,v_Z,sF0)
| ~ c_lessequals(X0,v_Y,sF0)
| v_X = sF1 ),
inference(definition_folding,[],[f6,f14,f14,f15,f14]) ).
fof(f6,axiom,
! [X0] :
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f50,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f21,f27,f23]) ).
fof(f21,plain,
( v_X = sF1
| c_lessequals(v_X,v_Y,sF0) ),
inference(definition_folding,[],[f1,f14,f15]) ).
fof(f1,axiom,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f49,plain,
( ~ spl2_6
| ~ spl2_4
| ~ spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f16,f23,f27,f35,f46]) ).
fof(f16,plain,
( ~ c_lessequals(v_X,v_Y,sF0)
| v_X != sF1
| ~ c_lessequals(v_X,v_Z,sF0)
| ~ c_lessequals(v_x,v_X,sF0) ),
inference(definition_folding,[],[f5,f14,f14,f15,f14]) ).
fof(f5,axiom,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f44,plain,
( spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f18,f35,f27]) ).
fof(f18,plain,
( c_lessequals(v_X,v_Z,sF0)
| v_X = sF1 ),
inference(definition_folding,[],[f2,f15,f14]) ).
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(f43,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f17,f40,f35,f27,f23]) ).
fof(f17,plain,
( c_lessequals(v_x,v_Y,sF0)
| ~ c_lessequals(v_X,v_Z,sF0)
| v_X != sF1
| ~ c_lessequals(v_X,v_Y,sF0) ),
inference(definition_folding,[],[f3,f14,f15,f14,f14]) ).
fof(f3,axiom,
( ~ 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)
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f38,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f20,f35,f31,f27,f23]) ).
fof(f20,plain,
( ~ c_lessequals(v_X,v_Z,sF0)
| c_lessequals(v_x,v_Z,sF0)
| v_X != sF1
| ~ c_lessequals(v_X,v_Y,sF0) ),
inference(definition_folding,[],[f4,f14,f14,f14,f15]) ).
fof(f4,axiom,
( v_X != c_inter(v_Y,v_Z,t_a)
| 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET831-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n024.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 14:24:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (7067)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (7067)Instruction limit reached!
% 0.19/0.51 % (7067)------------------------------
% 0.19/0.51 % (7067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7067)Termination reason: Unknown
% 0.19/0.51 % (7067)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (7067)Memory used [KB]: 5373
% 0.19/0.51 % (7067)Time elapsed: 0.004 s
% 0.19/0.51 % (7067)Instructions burned: 2 (million)
% 0.19/0.51 % (7067)------------------------------
% 0.19/0.51 % (7067)------------------------------
% 0.19/0.51 % (7066)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 % (7070)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)
% 0.19/0.52 % (7083)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (7075)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)
% 0.19/0.52 % (7060)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 % (7078)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 % (7060)Refutation not found, incomplete strategy% (7060)------------------------------
% 0.19/0.52 % (7060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7060)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (7060)Memory used [KB]: 5373
% 0.19/0.52 % (7060)Time elapsed: 0.123 s
% 0.19/0.52 % (7060)Instructions burned: 2 (million)
% 0.19/0.52 % (7060)------------------------------
% 0.19/0.52 % (7060)------------------------------
% 0.19/0.53 % (7063)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (7086)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 % (7065)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (7084)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (7088)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)
% 0.19/0.53 % (7061)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (7077)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (7059)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (7072)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (7062)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 % (7066)Instruction limit reached!
% 0.19/0.54 % (7066)------------------------------
% 0.19/0.54 % (7066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (7066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (7066)Termination reason: Unknown
% 0.19/0.54 % (7066)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (7066)Memory used [KB]: 5628
% 0.19/0.54 % (7066)Time elapsed: 0.122 s
% 0.19/0.54 % (7066)Instructions burned: 8 (million)
% 0.19/0.54 % (7066)------------------------------
% 0.19/0.54 % (7066)------------------------------
% 0.19/0.54 % (7082)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (7076)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (7080)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (7079)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 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.55 % (7073)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)
% 0.19/0.55 % (7064)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)
% 0.19/0.55 % (7068)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)
% 1.54/0.55 % (7081)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)
% 1.54/0.55 % (7085)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)
% 1.54/0.55 % (7074)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)
% 1.54/0.56 % (7069)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.56 TRYING [4]
% 1.54/0.56 TRYING [4]
% 1.54/0.57 % (7087)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.54/0.57 TRYING [3]
% 1.54/0.57 TRYING [4]
% 1.71/0.57 % (7071)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.59 TRYING [5]
% 1.71/0.59 TRYING [5]
% 1.71/0.60 % (7065)Instruction limit reached!
% 1.71/0.60 % (7065)------------------------------
% 1.71/0.60 % (7065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (7065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (7065)Termination reason: Unknown
% 1.71/0.60 % (7065)Termination phase: Finite model building constraint generation
% 1.71/0.60
% 1.71/0.60 % (7065)Memory used [KB]: 6908
% 1.71/0.60 % (7065)Time elapsed: 0.195 s
% 1.71/0.60 % (7065)Instructions burned: 53 (million)
% 1.71/0.60 % (7065)------------------------------
% 1.71/0.60 % (7065)------------------------------
% 1.71/0.60 TRYING [5]
% 1.71/0.61 % (7084)First to succeed.
% 1.71/0.62 % (7084)Refutation found. Thanks to Tanya!
% 1.71/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.62 % (7084)------------------------------
% 1.71/0.62 % (7084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (7084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (7084)Termination reason: Refutation
% 1.71/0.62
% 1.71/0.62 % (7084)Memory used [KB]: 5884
% 1.71/0.62 % (7084)Time elapsed: 0.222 s
% 1.71/0.62 % (7084)Instructions burned: 40 (million)
% 1.71/0.62 % (7084)------------------------------
% 1.71/0.62 % (7084)------------------------------
% 1.71/0.62 % (7058)Success in time 0.262 s
%------------------------------------------------------------------------------