TSTP Solution File: SET847-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET847-1 : 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 18:22:31 EDT 2022
% Result : Unsatisfiable 1.34s 0.55s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1406,plain,
$false,
inference(subsumption_resolution,[],[f1399,f310]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1399,plain,
~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f1398,f1359]) ).
fof(f1359,axiom,
! [X2,X40,X54] :
( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f1398,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f1397,f1360]) ).
fof(f1360,axiom,
! [X40,X2,X34] :
( ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f1397,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(trivial_inequality_removal,[],[f1396]) ).
fof(f1396,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(superposition,[],[f1386,f1362]) ).
fof(f1362,axiom,
! [X40,X2] :
( c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2)
| ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f1386,plain,
! [X0] :
( c_Zorn_Osucc(v_S,X0,t_a) != X0
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1367,f1363]) ).
fof(f1363,axiom,
! [X40,X2,X34] :
( c_Zorn_Osucc(X40,X34,X2) != X34
| ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
fof(f1367,plain,
! [X4,X5] :
( c_in(X4,c_minus(X5,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ c_in(X4,X5,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1364,f159]) ).
fof(f159,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2)
| c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f1364,axiom,
! [X41] : ~ c_in(X41,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET847-1 : 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_uns --cores 0 -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 : Tue Aug 30 14:33:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (4865)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52 % (4865)Instruction limit reached!
% 0.19/0.52 % (4865)------------------------------
% 0.19/0.52 % (4865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4881)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (4865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4865)Termination reason: Unknown
% 0.19/0.53 % (4865)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4865)Memory used [KB]: 7036
% 0.19/0.53 % (4865)Time elapsed: 0.006 s
% 0.19/0.53 % (4865)Instructions burned: 6 (million)
% 0.19/0.53 % (4865)------------------------------
% 0.19/0.53 % (4865)------------------------------
% 0.19/0.53 % (4862)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 % (4864)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53 % (4861)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)
% 0.19/0.53 % (4863)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (4855)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.54 % (4875)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)
% 0.19/0.54 % (4855)Instruction limit reached!
% 0.19/0.54 % (4855)------------------------------
% 0.19/0.54 % (4855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4855)Termination reason: Unknown
% 0.19/0.54 % (4855)Termination phase: General splitting
% 0.19/0.54
% 0.19/0.54 % (4855)Memory used [KB]: 2430
% 0.19/0.54 % (4855)Time elapsed: 0.004 s
% 0.19/0.54 % (4855)Instructions burned: 4 (million)
% 0.19/0.54 % (4855)------------------------------
% 0.19/0.54 % (4855)------------------------------
% 0.19/0.54 % (4858)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.34/0.54 % (4881)First to succeed.
% 1.34/0.55 % (4881)Refutation found. Thanks to Tanya!
% 1.34/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.55 % (4881)------------------------------
% 1.34/0.55 % (4881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (4881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (4881)Termination reason: Refutation
% 1.34/0.55
% 1.34/0.55 % (4881)Memory used [KB]: 7291
% 1.34/0.55 % (4881)Time elapsed: 0.114 s
% 1.34/0.55 % (4881)Instructions burned: 15 (million)
% 1.34/0.55 % (4881)------------------------------
% 1.34/0.55 % (4881)------------------------------
% 1.34/0.55 % (4852)Success in time 0.204 s
%------------------------------------------------------------------------------