TSTP Solution File: SET851-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET851-1 : 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 : 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 18:22:32 EDT 2022
% Result : Unsatisfiable 1.29s 0.55s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1426,plain,
$false,
inference(avatar_sat_refutation,[],[f1376,f1385,f1425]) ).
fof(f1425,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1424,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1423,f1371]) ).
fof(f1371,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1369,plain,
( spl0_1
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1423,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
inference(resolution,[],[f1365,f1361]) ).
fof(f1361,axiom,
! [X40,X2,X0,X23] :
( c_lessequals(X0,c_Zorn_Osucc(X40,X23,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X23,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
fof(f1365,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1385,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1380,f310]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1380,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f1365,f1379]) ).
fof(f1379,plain,
( v_m = v_x
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1378,f1375]) ).
fof(f1375,plain,
( c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1373,plain,
( spl0_2
<=> c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1378,plain,
( v_m = v_x
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f1377,f1363]) ).
fof(f1363,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1377,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = v_x
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1367,f1364]) ).
fof(f1364,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1367,axiom,
! [X41] :
( c_lessequals(c_Zorn_Osucc(v_S,X41,t_a),v_m,tc_set(tc_set(t_a)))
| v_m = X41
| ~ c_lessequals(X41,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X41,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1376,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1366,f1373,f1369]) ).
fof(f1366,axiom,
( c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:26:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.52 % (10577)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)
% 0.18/0.53 % (10593)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)
% 0.18/0.53 % (10577)Instruction limit reached!
% 0.18/0.53 % (10577)------------------------------
% 0.18/0.53 % (10577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (10577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (10577)Termination reason: Unknown
% 0.18/0.53 % (10577)Termination phase: Equality proxy
% 0.18/0.53
% 0.18/0.53 % (10577)Memory used [KB]: 2430
% 0.18/0.53 % (10577)Time elapsed: 0.004 s
% 0.18/0.53 % (10577)Instructions burned: 3 (million)
% 0.18/0.53 % (10577)------------------------------
% 0.18/0.53 % (10577)------------------------------
% 0.18/0.53 % (10570)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)
% 1.29/0.54 % (10591)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.29/0.54 % (10575)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.29/0.55 % (10593)First to succeed.
% 1.29/0.55 % (10583)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.29/0.55 % (10569)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.29/0.55 % (10593)Refutation found. Thanks to Tanya!
% 1.29/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.55 % (10593)------------------------------
% 1.29/0.55 % (10593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.55 % (10593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.55 % (10593)Termination reason: Refutation
% 1.29/0.55
% 1.29/0.55 % (10593)Memory used [KB]: 6908
% 1.29/0.55 % (10593)Time elapsed: 0.130 s
% 1.29/0.55 % (10593)Instructions burned: 7 (million)
% 1.29/0.55 % (10593)------------------------------
% 1.29/0.55 % (10593)------------------------------
% 1.29/0.55 % (10568)Success in time 0.207 s
%------------------------------------------------------------------------------