TSTP Solution File: SET831-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET831-1 : 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 : n028.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 2.18s 0.72s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 109 ( 5 unt; 0 def)
% Number of atoms : 310 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 348 ( 147 ~; 192 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3568,plain,
$false,
inference(avatar_sat_refutation,[],[f1388,f1392,f1397,f1398,f1400,f1405,f2024,f2032,f3162,f3240,f3272,f3567]) ).
fof(f3567,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_4
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f3566]) ).
fof(f3566,plain,
( $false
| ~ spl2_1
| spl2_3
| ~ spl2_4
| ~ spl2_31 ),
inference(subsumption_resolution,[],[f3565,f3443]) ).
fof(f3443,plain,
( ~ c_lessequals(v_X,sF1,sF0)
| spl2_3
| ~ spl2_31 ),
inference(subsumption_resolution,[],[f3363,f1383]) ).
fof(f1383,plain,
( v_X != sF1
| spl2_3 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1381,plain,
( spl2_3
<=> v_X = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f3363,plain,
( ~ c_lessequals(v_X,sF1,sF0)
| v_X = sF1
| ~ spl2_31 ),
inference(resolution,[],[f3239,f2271]) ).
fof(f2271,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,sF0)
| X0 = X1
| ~ c_lessequals(X0,X1,sF0) ),
inference(superposition,[],[f309,f1364]) ).
fof(f1364,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f309,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3239,plain,
( c_lessequals(sF1,v_X,sF0)
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f3237,plain,
( spl2_31
<=> c_lessequals(sF1,v_X,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f3565,plain,
( c_lessequals(v_X,sF1,sF0)
| ~ spl2_1
| spl2_3
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f3564,f1364]) ).
fof(f3564,plain,
( c_lessequals(v_X,sF1,tc_set(t_a))
| ~ spl2_1
| spl2_3
| ~ spl2_4
| ~ spl2_31 ),
inference(subsumption_resolution,[],[f3558,f3443]) ).
fof(f3558,plain,
( c_lessequals(v_X,sF1,sF0)
| c_lessequals(v_X,sF1,tc_set(t_a))
| ~ spl2_1
| ~ spl2_4 ),
inference(resolution,[],[f3480,f308]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3480,plain,
( ! [X2] :
( c_in(c_Main_OsubsetI__1(v_X,X2,t_a),sF1,t_a)
| c_lessequals(v_X,X2,sF0) )
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f3475,f3215]) ).
fof(f3215,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(v_X,X0,sF0) )
| ~ spl2_1 ),
inference(forward_demodulation,[],[f3214,f1364]) ).
fof(f3214,plain,
( ! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) )
| ~ spl2_1 ),
inference(resolution,[],[f2319,f307]) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f2319,plain,
( ! [X8] :
( ~ c_in(X8,v_X,t_a)
| c_in(X8,v_Y,t_a) )
| ~ spl2_1 ),
inference(resolution,[],[f2242,f1374]) ).
fof(f1374,plain,
( c_lessequals(v_X,v_Y,sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1373,plain,
( spl2_1
<=> c_lessequals(v_X,v_Y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f2242,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF0)
| c_in(X2,X1,t_a)
| ~ c_in(X2,X0,t_a) ),
inference(superposition,[],[f306,f1364]) ).
fof(f306,axiom,
! [X2,X34,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3475,plain,
( ! [X2] :
( c_lessequals(v_X,X2,sF0)
| ~ c_in(c_Main_OsubsetI__1(v_X,X2,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X2,t_a),sF1,t_a) )
| ~ spl2_4 ),
inference(resolution,[],[f2883,f3217]) ).
fof(f3217,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,sF0) )
| ~ spl2_4 ),
inference(forward_demodulation,[],[f3216,f1364]) ).
fof(f3216,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)) )
| ~ spl2_4 ),
inference(resolution,[],[f2320,f307]) ).
fof(f2320,plain,
( ! [X9] :
( ~ c_in(X9,v_X,t_a)
| c_in(X9,v_Z,t_a) )
| ~ spl2_4 ),
inference(resolution,[],[f2242,f1386]) ).
fof(f1386,plain,
( c_lessequals(v_X,v_Z,sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl2_4
<=> c_lessequals(v_X,v_Z,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f2883,plain,
! [X0] :
( ~ c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_Y,t_a)
| c_in(X0,sF1,t_a) ),
inference(superposition,[],[f162,f1365]) ).
fof(f1365,plain,
c_inter(v_Y,v_Z,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f162,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,c_inter(X13,X15,X2),X2)
| ~ c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f3272,plain,
spl2_30,
inference(avatar_contradiction_clause,[],[f3271]) ).
fof(f3271,plain,
( $false
| spl2_30 ),
inference(subsumption_resolution,[],[f3270,f3235]) ).
fof(f3235,plain,
( ~ c_lessequals(sF1,v_Y,sF0)
| spl2_30 ),
inference(avatar_component_clause,[],[f3233]) ).
fof(f3233,plain,
( spl2_30
<=> c_lessequals(sF1,v_Y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f3270,plain,
( c_lessequals(sF1,v_Y,sF0)
| spl2_30 ),
inference(forward_demodulation,[],[f3269,f1364]) ).
fof(f3269,plain,
( c_lessequals(sF1,v_Y,tc_set(t_a))
| spl2_30 ),
inference(subsumption_resolution,[],[f3266,f3235]) ).
fof(f3266,plain,
( c_lessequals(sF1,v_Y,tc_set(t_a))
| c_lessequals(sF1,v_Y,sF0) ),
inference(resolution,[],[f3213,f308]) ).
fof(f3213,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(sF1,X0,t_a),v_Y,t_a)
| c_lessequals(sF1,X0,sF0) ),
inference(forward_demodulation,[],[f3212,f1364]) ).
fof(f3212,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(sF1,X0,t_a),v_Y,t_a)
| c_lessequals(sF1,X0,tc_set(t_a)) ),
inference(resolution,[],[f1860,f307]) ).
fof(f1860,plain,
! [X0] :
( ~ c_in(X0,sF1,t_a)
| c_in(X0,v_Y,t_a) ),
inference(superposition,[],[f161,f1365]) ).
fof(f161,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,c_inter(X13,X15,X2),X2)
| c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3240,plain,
( ~ spl2_30
| spl2_31
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f3227,f1390,f3237,f3233]) ).
fof(f1390,plain,
( spl2_5
<=> ! [X41] :
( ~ c_lessequals(X41,v_Z,sF0)
| ~ c_lessequals(X41,v_Y,sF0)
| c_lessequals(X41,v_X,sF0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f3227,plain,
( c_lessequals(sF1,v_X,sF0)
| ~ c_lessequals(sF1,v_Y,sF0)
| ~ spl2_5 ),
inference(resolution,[],[f3226,f1391]) ).
fof(f1391,plain,
( ! [X41] :
( ~ c_lessequals(X41,v_Z,sF0)
| ~ c_lessequals(X41,v_Y,sF0)
| c_lessequals(X41,v_X,sF0) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f3226,plain,
c_lessequals(sF1,v_Z,sF0),
inference(duplicate_literal_removal,[],[f3225]) ).
fof(f3225,plain,
( c_lessequals(sF1,v_Z,sF0)
| c_lessequals(sF1,v_Z,sF0) ),
inference(forward_demodulation,[],[f3223,f1364]) ).
fof(f3223,plain,
( c_lessequals(sF1,v_Z,tc_set(t_a))
| c_lessequals(sF1,v_Z,sF0) ),
inference(resolution,[],[f3165,f308]) ).
fof(f3165,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(sF1,X0,t_a),v_Z,t_a)
| c_lessequals(sF1,X0,sF0) ),
inference(forward_demodulation,[],[f3164,f1364]) ).
fof(f3164,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(sF1,X0,t_a),v_Z,t_a)
| c_lessequals(sF1,X0,tc_set(t_a)) ),
inference(resolution,[],[f1857,f307]) ).
fof(f1857,plain,
! [X0] :
( ~ c_in(X0,sF1,t_a)
| c_in(X0,v_Z,t_a) ),
inference(superposition,[],[f160,f1365]) ).
fof(f160,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,c_inter(X13,X15,X2),X2)
| c_in(X34,X15,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3162,plain,
( spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f3161]) ).
fof(f3161,plain,
( $false
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f3160,f1379]) ).
fof(f1379,plain,
( ~ c_lessequals(v_x,v_X,sF0)
| spl2_2 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1377,plain,
( spl2_2
<=> c_lessequals(v_x,v_X,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f3160,plain,
( c_lessequals(v_x,v_X,sF0)
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f3159,f1364]) ).
fof(f3159,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f3155,f1379]) ).
fof(f3155,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| c_lessequals(v_x,v_X,sF0)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(resolution,[],[f3149,f308]) ).
fof(f3149,plain,
( ! [X1] :
( c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_X,t_a)
| c_lessequals(v_x,X1,sF0) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f3146,f3129]) ).
fof(f3129,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
| c_lessequals(v_x,X0,sF0) )
| ~ spl2_7 ),
inference(forward_demodulation,[],[f3128,f1364]) ).
fof(f3128,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)) )
| ~ spl2_7 ),
inference(resolution,[],[f2323,f307]) ).
fof(f2323,plain,
( ! [X12] :
( ~ c_in(X12,v_x,t_a)
| c_in(X12,v_Y,t_a) )
| ~ spl2_7 ),
inference(resolution,[],[f2242,f1404]) ).
fof(f1404,plain,
( c_lessequals(v_x,v_Y,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl2_7
<=> c_lessequals(v_x,v_Y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f3146,plain,
( ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_Y,t_a)
| c_lessequals(v_x,X1,sF0)
| c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_X,t_a) )
| ~ spl2_3
| ~ spl2_6 ),
inference(resolution,[],[f3122,f3127]) ).
fof(f3127,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)
| c_lessequals(v_x,X0,sF0) )
| ~ spl2_6 ),
inference(forward_demodulation,[],[f3126,f1364]) ).
fof(f3126,plain,
( ! [X0] :
( c_lessequals(v_x,X0,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a) )
| ~ spl2_6 ),
inference(resolution,[],[f2322,f307]) ).
fof(f2322,plain,
( ! [X11] :
( ~ c_in(X11,v_x,t_a)
| c_in(X11,v_Z,t_a) )
| ~ spl2_6 ),
inference(resolution,[],[f2242,f1396]) ).
fof(f1396,plain,
( c_lessequals(v_x,v_Z,sF0)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl2_6
<=> c_lessequals(v_x,v_Z,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f3122,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2883,f1382]) ).
fof(f1382,plain,
( v_X = sF1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f2032,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f2031,f1381,f1373]) ).
fof(f2031,plain,
( c_lessequals(v_X,v_Y,sF0)
| ~ spl2_3 ),
inference(duplicate_literal_removal,[],[f2030]) ).
fof(f2030,plain,
( c_lessequals(v_X,v_Y,sF0)
| c_lessequals(v_X,v_Y,sF0)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2008,f1364]) ).
fof(f2008,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_X,v_Y,sF0)
| ~ spl2_3 ),
inference(resolution,[],[f308,f2005]) ).
fof(f2005,plain,
( ! [X52] :
( c_in(c_Main_OsubsetI__1(v_X,X52,t_a),v_Y,t_a)
| c_lessequals(v_X,X52,sF0) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f1999,f1364]) ).
fof(f1999,plain,
( ! [X52] :
( c_in(c_Main_OsubsetI__1(v_X,X52,t_a),v_Y,t_a)
| c_lessequals(v_X,X52,tc_set(t_a)) )
| ~ spl2_3 ),
inference(resolution,[],[f307,f1861]) ).
fof(f1861,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f1860,f1382]) ).
fof(f2024,plain,
( spl2_4
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f2023,f1381,f1385]) ).
fof(f2023,plain,
( c_lessequals(v_X,v_Z,sF0)
| ~ spl2_3 ),
inference(duplicate_literal_removal,[],[f2022]) ).
fof(f2022,plain,
( c_lessequals(v_X,v_Z,sF0)
| c_lessequals(v_X,v_Z,sF0)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2007,f1364]) ).
fof(f2007,plain,
( c_lessequals(v_X,v_Z,sF0)
| c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl2_3 ),
inference(resolution,[],[f308,f2004]) ).
fof(f2004,plain,
( ! [X53] :
( c_in(c_Main_OsubsetI__1(v_X,X53,t_a),v_Z,t_a)
| c_lessequals(v_X,X53,sF0) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2000,f1364]) ).
fof(f2000,plain,
( ! [X53] :
( c_lessequals(v_X,X53,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X53,t_a),v_Z,t_a) )
| ~ spl2_3 ),
inference(resolution,[],[f307,f1858]) ).
fof(f1858,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl2_3 ),
inference(forward_demodulation,[],[f1857,f1382]) ).
fof(f1405,plain,
( spl2_7
| ~ spl2_1
| ~ spl2_4
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1369,f1381,f1385,f1373,f1402]) ).
fof(f1369,plain,
( v_X != sF1
| ~ c_lessequals(v_X,v_Z,sF0)
| ~ c_lessequals(v_X,v_Y,sF0)
| c_lessequals(v_x,v_Y,sF0) ),
inference(definition_folding,[],[f1360,f1364,f1365,f1364,f1364]) ).
fof(f1360,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(f1400,plain,
( spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f1367,f1373,f1381]) ).
fof(f1367,plain,
( c_lessequals(v_X,v_Y,sF0)
| v_X = sF1 ),
inference(definition_folding,[],[f1358,f1364,f1365]) ).
fof(f1358,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(f1398,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f1371,f1381,f1385]) ).
fof(f1371,plain,
( v_X = sF1
| c_lessequals(v_X,v_Z,sF0) ),
inference(definition_folding,[],[f1359,f1365,f1364]) ).
fof(f1359,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(f1397,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f1366,f1394,f1381,f1385,f1373]) ).
fof(f1366,plain,
( c_lessequals(v_x,v_Z,sF0)
| v_X != sF1
| ~ c_lessequals(v_X,v_Z,sF0)
| ~ c_lessequals(v_X,v_Y,sF0) ),
inference(definition_folding,[],[f1361,f1365,f1364,f1364,f1364]) ).
fof(f1361,axiom,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1392,plain,
( spl2_3
| spl2_5 ),
inference(avatar_split_clause,[],[f1368,f1390,f1381]) ).
fof(f1368,plain,
! [X41] :
( ~ c_lessequals(X41,v_Z,sF0)
| c_lessequals(X41,v_X,sF0)
| v_X = sF1
| ~ c_lessequals(X41,v_Y,sF0) ),
inference(definition_folding,[],[f1363,f1364,f1364,f1365,f1364]) ).
fof(f1363,axiom,
! [X41] :
( ~ c_lessequals(X41,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(X41,v_Y,tc_set(t_a))
| c_lessequals(X41,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1388,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f1370,f1385,f1381,f1377,f1373]) ).
fof(f1370,plain,
( ~ c_lessequals(v_X,v_Z,sF0)
| v_X != sF1
| ~ c_lessequals(v_x,v_X,sF0)
| ~ c_lessequals(v_X,v_Y,sF0) ),
inference(definition_folding,[],[f1362,f1364,f1365,f1364,f1364]) ).
fof(f1362,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_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET831-1 : 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:31:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (31194)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 % (31202)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 % (31183)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)
% 0.19/0.55 % (31204)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)
% 0.19/0.55 % (31188)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.55 % (31195)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)
% 1.35/0.55 % (31185)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.55 % (31181)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)
% 1.35/0.56 % (31187)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)
% 1.35/0.56 % (31186)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)
% 1.35/0.56 % (31184)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)
% 1.35/0.56 % (31200)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)
% 1.35/0.56 % (31208)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)
% 1.35/0.56 % (31198)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.56 % (31209)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.57 % (31201)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)
% 1.47/0.57 % (31199)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.57 % (31206)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.57 % (31210)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)
% 1.47/0.57 % (31192)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)
% 1.47/0.57 % (31188)Instruction limit reached!
% 1.47/0.57 % (31188)------------------------------
% 1.47/0.57 % (31188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (31188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (31188)Termination reason: Unknown
% 1.47/0.57 % (31188)Termination phase: Saturation
% 1.47/0.57
% 1.47/0.57 % (31188)Memory used [KB]: 6652
% 1.47/0.57 % (31188)Time elapsed: 0.007 s
% 1.47/0.57 % (31188)Instructions burned: 8 (million)
% 1.47/0.57 % (31188)------------------------------
% 1.47/0.57 % (31188)------------------------------
% 1.47/0.57 % (31191)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.57 % (31182)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)
% 1.47/0.57 % (31196)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)
% 1.47/0.58 % (31207)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)
% 1.47/0.58 % (31205)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.58 % (31190)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)
% 1.47/0.58 % (31193)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.58 % (31189)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.58 % (31197)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)
% 1.47/0.59 % (31203)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)
% 1.47/0.59 % (31189)Instruction limit reached!
% 1.47/0.59 % (31189)------------------------------
% 1.47/0.59 % (31189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.59 % (31189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59 % (31189)Termination reason: Unknown
% 1.47/0.59 % (31189)Termination phase: Unused predicate definition removal
% 1.47/0.59
% 1.47/0.59 % (31189)Memory used [KB]: 1918
% 1.47/0.59 % (31189)Time elapsed: 0.005 s
% 1.47/0.59 % (31189)Instructions burned: 2 (million)
% 1.47/0.59 % (31189)------------------------------
% 1.47/0.59 % (31189)------------------------------
% 1.47/0.63 % (31183)Instruction limit reached!
% 1.47/0.63 % (31183)------------------------------
% 1.47/0.63 % (31183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.63 % (31183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.63 % (31183)Termination reason: Unknown
% 1.96/0.63 % (31183)Termination phase: Saturation
% 1.96/0.63
% 1.96/0.63 % (31183)Memory used [KB]: 2430
% 1.96/0.63 % (31187)Instruction limit reached!
% 1.96/0.63 % (31187)------------------------------
% 1.96/0.63 % (31187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.63 % (31183)Time elapsed: 0.180 s
% 1.96/0.63 % (31183)Instructions burned: 37 (million)
% 1.96/0.63 % (31183)------------------------------
% 1.96/0.63 % (31183)------------------------------
% 1.96/0.65 % (31186)Instruction limit reached!
% 1.96/0.65 % (31186)------------------------------
% 1.96/0.65 % (31186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.65 % (31186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.65 % (31186)Termination reason: Unknown
% 1.96/0.65 % (31186)Termination phase: Saturation
% 1.96/0.65
% 1.96/0.65 % (31186)Memory used [KB]: 7036
% 1.96/0.65 % (31186)Time elapsed: 0.219 s
% 1.96/0.65 % (31186)Instructions burned: 49 (million)
% 1.96/0.65 % (31186)------------------------------
% 1.96/0.65 % (31186)------------------------------
% 1.96/0.65 % (31187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.65 % (31187)Termination reason: Unknown
% 1.96/0.65 % (31187)Termination phase: Finite model building preprocessing
% 1.96/0.65
% 1.96/0.65 % (31187)Memory used [KB]: 3070
% 1.96/0.65 % (31187)Time elapsed: 0.031 s
% 1.96/0.65 % (31187)Instructions burned: 52 (million)
% 1.96/0.65 % (31187)------------------------------
% 1.96/0.65 % (31187)------------------------------
% 1.96/0.66 % (31198)Instruction limit reached!
% 1.96/0.66 % (31198)------------------------------
% 1.96/0.66 % (31198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.66 % (31190)Instruction limit reached!
% 1.96/0.66 % (31190)------------------------------
% 1.96/0.66 % (31190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.66 % (31198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.66 % (31198)Termination reason: Unknown
% 1.96/0.66 % (31198)Termination phase: Finite model building preprocessing
% 1.96/0.66
% 1.96/0.66 % (31198)Memory used [KB]: 3070
% 1.96/0.66 % (31198)Time elapsed: 0.029 s
% 1.96/0.66 % (31198)Instructions burned: 60 (million)
% 1.96/0.66 % (31198)------------------------------
% 1.96/0.66 % (31198)------------------------------
% 2.18/0.66 % (31182)Instruction limit reached!
% 2.18/0.66 % (31182)------------------------------
% 2.18/0.66 % (31182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (31182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (31182)Termination reason: Unknown
% 2.18/0.66 % (31182)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (31182)Memory used [KB]: 7419
% 2.18/0.66 % (31182)Time elapsed: 0.228 s
% 2.18/0.66 % (31182)Instructions burned: 51 (million)
% 2.18/0.66 % (31182)------------------------------
% 2.18/0.66 % (31182)------------------------------
% 2.18/0.66 % (31190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (31190)Termination reason: Unknown
% 2.18/0.66 % (31190)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (31190)Memory used [KB]: 3070
% 2.18/0.66 % (31190)Time elapsed: 0.240 s
% 2.18/0.66 % (31190)Instructions burned: 51 (million)
% 2.18/0.66 % (31190)------------------------------
% 2.18/0.66 % (31190)------------------------------
% 2.18/0.67 % (31184)Instruction limit reached!
% 2.18/0.67 % (31184)------------------------------
% 2.18/0.67 % (31184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67 % (31184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67 % (31184)Termination reason: Unknown
% 2.18/0.67 % (31184)Termination phase: Saturation
% 2.18/0.67
% 2.18/0.67 % (31184)Memory used [KB]: 7291
% 2.18/0.67 % (31184)Time elapsed: 0.223 s
% 2.18/0.67 % (31184)Instructions burned: 51 (million)
% 2.18/0.67 % (31184)------------------------------
% 2.18/0.67 % (31184)------------------------------
% 2.18/0.67 % (31185)Instruction limit reached!
% 2.18/0.67 % (31185)------------------------------
% 2.18/0.67 % (31185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67 % (31185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67 % (31185)Termination reason: Unknown
% 2.18/0.67 % (31185)Termination phase: Saturation
% 2.18/0.67
% 2.18/0.67 % (31185)Memory used [KB]: 7164
% 2.18/0.67 % (31185)Time elapsed: 0.237 s
% 2.18/0.67 % (31185)Instructions burned: 51 (million)
% 2.18/0.67 % (31185)------------------------------
% 2.18/0.67 % (31185)------------------------------
% 2.18/0.68 % (31191)Instruction limit reached!
% 2.18/0.68 % (31191)------------------------------
% 2.18/0.68 % (31191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68 % (31191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68 % (31191)Termination reason: Unknown
% 2.18/0.68 % (31191)Termination phase: Saturation
% 2.18/0.68
% 2.18/0.68 % (31191)Memory used [KB]: 7419
% 2.18/0.68 % (31191)Time elapsed: 0.248 s
% 2.18/0.68 % (31191)Instructions burned: 50 (million)
% 2.18/0.68 % (31191)------------------------------
% 2.18/0.68 % (31191)------------------------------
% 2.18/0.69 % (31207)Instruction limit reached!
% 2.18/0.69 % (31207)------------------------------
% 2.18/0.69 % (31207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69 % (31207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.69 % (31207)Termination reason: Unknown
% 2.18/0.69 % (31207)Termination phase: Saturation
% 2.18/0.69
% 2.18/0.69 % (31207)Memory used [KB]: 8187
% 2.18/0.69 % (31207)Time elapsed: 0.041 s
% 2.18/0.69 % (31207)Instructions burned: 68 (million)
% 2.18/0.69 % (31207)------------------------------
% 2.18/0.69 % (31207)------------------------------
% 2.18/0.69 % (31195)Instruction limit reached!
% 2.18/0.69 % (31195)------------------------------
% 2.18/0.69 % (31195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69 % (31195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.69 % (31195)Termination reason: Unknown
% 2.18/0.69 % (31195)Termination phase: Saturation
% 2.18/0.69
% 2.18/0.69 % (31195)Memory used [KB]: 8187
% 2.18/0.69 % (31195)Time elapsed: 0.049 s
% 2.18/0.69 % (31195)Instructions burned: 69 (million)
% 2.18/0.69 % (31195)------------------------------
% 2.18/0.69 % (31195)------------------------------
% 2.18/0.70 % (31194)First to succeed.
% 2.18/0.71 % (31196)Instruction limit reached!
% 2.18/0.71 % (31196)------------------------------
% 2.18/0.71 % (31196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.71 % (31196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.71 % (31196)Termination reason: Unknown
% 2.18/0.71 % (31196)Termination phase: Saturation
% 2.18/0.71
% 2.18/0.71 % (31196)Memory used [KB]: 3198
% 2.18/0.71 % (31196)Time elapsed: 0.292 s
% 2.18/0.71 % (31196)Instructions burned: 76 (million)
% 2.18/0.71 % (31196)------------------------------
% 2.18/0.71 % (31196)------------------------------
% 2.18/0.71 % (31211)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.18/0.72 % (31194)Refutation found. Thanks to Tanya!
% 2.18/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.18/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.72 % (31194)------------------------------
% 2.18/0.72 % (31194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.72 % (31194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.72 % (31194)Termination reason: Refutation
% 2.18/0.72
% 2.18/0.72 % (31194)Memory used [KB]: 7675
% 2.18/0.72 % (31194)Time elapsed: 0.267 s
% 2.18/0.72 % (31194)Instructions burned: 93 (million)
% 2.18/0.72 % (31194)------------------------------
% 2.18/0.72 % (31194)------------------------------
% 2.18/0.72 % (31180)Success in time 0.363 s
%------------------------------------------------------------------------------