TSTP Solution File: SET865-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET865-1 : 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_uns --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 18:22:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 33 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,plain,
$false,
inference(subsumption_resolution,[],[f1424,f1411]) ).
fof(f1411,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[],[f1410,f1361]) ).
fof(f1361,axiom,
! [X41] :
( ~ c_in(X41,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X41,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1410,plain,
! [X6,X5] : c_in(c_Zorn_OHausdorff__1(X5,X6),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6))),
inference(resolution,[],[f1367,f1358]) ).
fof(f1358,axiom,
! [X40,X2] : c_in(c_Zorn_OHausdorff__1(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f1367,plain,
! [X6,X7,X5] :
( ~ c_in(X5,c_Zorn_Omaxchain(X6,X7),tc_set(tc_set(X7)))
| c_in(X5,c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7))) ),
inference(resolution,[],[f306,f1360]) ).
fof(f1360,axiom,
! [X40,X2] : c_lessequals(c_Zorn_Omaxchain(X40,X2),c_Zorn_Ochain(X40,X2),tc_set(tc_set(tc_set(X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f1424,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(duplicate_literal_removal,[],[f1422]) ).
fof(f1422,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1415,f1362]) ).
fof(f1362,axiom,
! [X41] :
( c_in(v_x(X41),v_S,tc_set(t_a))
| ~ c_in(X41,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1415,plain,
! [X0] :
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f1413,f1364]) ).
fof(f1364,axiom,
! [X41] :
( v_x(X41) != X41
| ~ c_in(X41,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1413,plain,
! [X0] :
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) = c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a)) ),
inference(resolution,[],[f1407,f1363]) ).
fof(f1363,axiom,
! [X41] :
( c_lessequals(X41,v_x(X41),tc_set(t_a))
| ~ c_in(X41,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1407,plain,
! [X8,X9,X7] :
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X8,X9),X9),X7,tc_set(X9))
| ~ c_in(X7,X8,tc_set(X9))
| c_Union(c_Zorn_OHausdorff__1(X8,X9),X9) = X7 ),
inference(resolution,[],[f1359,f1358]) ).
fof(f1359,axiom,
! [X40,X2,X38,X34] :
( ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X38,X40,tc_set(X2))
| ~ c_lessequals(c_Union(X34,X2),X38,tc_set(X2))
| c_Union(X34,X2) = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET865-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:36:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (15205)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.51 % (15182)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (15186)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (15205)First to succeed.
% 0.19/0.53 % (15204)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (15190)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (15189)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (15196)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (15181)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54 % (15199)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54 % (15184)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.54 % (15188)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (15205)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (15205)------------------------------
% 0.19/0.54 % (15205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (15205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (15205)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (15205)Memory used [KB]: 6908
% 0.19/0.54 % (15205)Time elapsed: 0.108 s
% 0.19/0.54 % (15205)Instructions burned: 7 (million)
% 0.19/0.54 % (15205)------------------------------
% 0.19/0.54 % (15205)------------------------------
% 0.19/0.54 % (15169)Success in time 0.2 s
%------------------------------------------------------------------------------