TSTP Solution File: LAT276-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Thu Aug 31 06:30:18 EDT 2023
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 160 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 182 ( 82 ~; 93 |; 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 : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 20 (; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f23,f27,f31,f32,f43,f164,f168,f171,f183,f188]) ).
fof(f188,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f186,f18]) ).
fof(f18,plain,
( c_in(v_xa,v_S,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_2
<=> c_in(v_xa,v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f186,plain,
( ~ c_in(v_xa,v_S,t_a)
| spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f185,f1]) ).
fof(f1,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_0) ).
fof(f185,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_xa,X0,t_a) )
| spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f184,f7]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,X5,X4)
| ~ c_in(X2,X3,X4)
| ~ c_lessequals(X3,X5,tc_set(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Set_OsubsetD_0) ).
fof(f184,plain,
( ~ c_in(v_xa,v_A,t_a)
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f180,f49]) ).
fof(f49,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_3 ),
inference(forward_demodulation,[],[f22,f12]) ).
fof(f12,axiom,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f22,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_3
<=> c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f180,plain,
( ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f178,f1]) ).
fof(f178,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f177,f9]) ).
fof(f9,axiom,
! [X6,X7] :
( c_in(v_sko__4mP(X6,X7,v_r),X7,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(X6,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f177,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f172,f1]) ).
fof(f172,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f163,f49]) ).
fof(f163,plain,
( ! [X2] :
( c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,X2,v_r),v_S,t_a)
| ~ c_lessequals(X2,v_A,tc_set(t_a)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl0_7
<=> ! [X2] :
( ~ c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_xa,X2,v_r),v_S,t_a)
| c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f183,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f181,f49]) ).
fof(f181,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_1
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f180,f169]) ).
fof(f169,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15,f8]) ).
fof(f8,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f15,plain,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_1
<=> c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f171,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f169,f160]) ).
fof(f160,plain,
( ~ c_in(v_xa,v_A,t_a)
| spl0_6 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_6
<=> c_in(v_xa,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f168,plain,
( ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f166,f18]) ).
fof(f166,plain,
( ~ c_in(v_xa,v_S,t_a)
| spl0_6 ),
inference(resolution,[],[f165,f1]) ).
fof(f165,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_xa,X0,t_a) )
| spl0_6 ),
inference(resolution,[],[f160,f7]) ).
fof(f164,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f156,f29,f162,f159]) ).
fof(f29,plain,
( spl0_5
<=> ! [X1] :
( ~ c_in(X1,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f156,plain,
( ! [X2] :
( ~ c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,X2,v_r),v_S,t_a) )
| ~ spl0_5 ),
inference(resolution,[],[f10,f48]) ).
fof(f48,plain,
( ! [X1] :
( c_in(c_Pair(X1,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f30,f12]) ).
fof(f30,plain,
( ! [X1] :
( ~ c_in(X1,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f10,axiom,
! [X6,X7] :
( ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(X6,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f43,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f41,f18]) ).
fof(f41,plain,
( ~ c_in(v_xa,v_S,t_a)
| spl0_4 ),
inference(subsumption_resolution,[],[f38,f1]) ).
fof(f38,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_S,t_a)
| spl0_4 ),
inference(resolution,[],[f11,f33]) ).
fof(f33,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_4 ),
inference(forward_demodulation,[],[f26,f12]) ).
fof(f26,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_4 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_4
<=> c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f11,axiom,
! [X8,X7] :
( c_in(c_Pair(X8,c_Tarski_Olub(X7,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(X8,X7,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f32,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f2,f29,f25]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_10) ).
fof(f31,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f29,f17]) ).
fof(f6,axiom,
! [X1] :
( ~ c_in(X1,v_S,t_a)
| c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_9) ).
fof(f27,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f25,f21]) ).
fof(f5,axiom,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_6) ).
fof(f23,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f17,f21]) ).
fof(f4,axiom,
( c_in(v_xa,v_S,t_a)
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_4) ).
fof(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3,f17,f14]) ).
fof(f3,axiom,
( c_in(v_xa,v_S,t_a)
| c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n028.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 : Thu Aug 24 07:16:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.uSca7Vfj5W/Vampire---4.8_24740
% 0.18/0.34 % (24879)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (24881)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.18/0.40 % (24884)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.18/0.40 % (24886)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.18/0.40 % (24881)First to succeed.
% 0.18/0.40 % (24883)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.18/0.40 % (24885)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.18/0.40 % (24881)Refutation found. Thanks to Tanya!
% 0.18/0.40 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.40 % (24881)------------------------------
% 0.18/0.40 % (24881)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.40 % (24881)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.40 % (24881)Termination reason: Refutation
% 0.18/0.40
% 0.18/0.40 % (24881)Memory used [KB]: 10106
% 0.18/0.40 % (24881)Time elapsed: 0.007 s
% 0.18/0.40 % (24881)------------------------------
% 0.18/0.40 % (24881)------------------------------
% 0.18/0.40 % (24879)Success in time 0.055 s
% 0.18/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------