TSTP Solution File: SET847-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 15:13:32 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 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 : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(resolution,[],[f38,f6]) ).
fof(f6,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f38,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,[],[f37,f2]) ).
fof(f2,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f37,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))
| ~ 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,[],[f35,f7]) ).
fof(f7,axiom,
! [X2,X6,X5] :
( c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X5,c_Zorn_OTFin(X6,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f35,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_emptyset,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f34,f8]) ).
fof(f8,axiom,
! [X2,X0,X6] :
( c_in(X0,c_Zorn_Ochain(X6,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f34,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_emptyset,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f33,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
| c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f33,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference(superposition,[],[f31,f23]) ).
fof(f23,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference(resolution,[],[f14,f13]) ).
fof(f13,plain,
! [X0] : c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X7] : ~ c_in(X7,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X1] : c_lessequals(c_emptyset,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f5,axiom,
! [X2,X3,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X1,X3,tc_set(X2))
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f31,plain,
! [X0,X1] : ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))),
inference(trivial_inequality_removal,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) != c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))) ),
inference(superposition,[],[f10,f29]) ).
fof(f29,plain,
! [X0,X1] : c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),
inference(resolution,[],[f28,f6]) ).
fof(f28,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1))))
| c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) ),
inference(resolution,[],[f9,f7]) ).
fof(f9,axiom,
! [X2,X6] :
( ~ c_in(c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)) = c_Zorn_Osucc(X6,c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f10,axiom,
! [X2,X0,X6] :
( c_Zorn_Osucc(X6,X0,X2) != X0
| ~ c_in(X0,c_minus(c_Zorn_Ochain(X6,X2),c_Zorn_Omaxchain(X6,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n003.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 01:13:48 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (20055)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (20058)WARNING: value z3 for option sas not known
% 0.11/0.36 % (20056)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36 % (20058)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (20061)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.36 % (20062)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.36 % (20060)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.36 % (20059)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36 % (20057)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 % (20061)First to succeed.
% 0.11/0.36 TRYING [2]
% 0.11/0.36 % (20058)Also succeeded, but the first one will report.
% 0.11/0.36 % (20060)Also succeeded, but the first one will report.
% 0.11/0.36 % (20061)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (20061)------------------------------
% 0.11/0.36 % (20061)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (20061)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (20061)Memory used [KB]: 771
% 0.11/0.36 % (20061)Time elapsed: 0.004 s
% 0.11/0.36 % (20061)Instructions burned: 5 (million)
% 0.11/0.36 % (20061)------------------------------
% 0.11/0.36 % (20061)------------------------------
% 0.11/0.36 % (20055)Success in time 0.02 s
%------------------------------------------------------------------------------