TSTP Solution File: SET847-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET847-2 : 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 : n021.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f2]) ).
fof(f2,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f44,plain,
c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f43,f30]) ).
fof(f30,plain,
! [X2,X3] : c_in(c_Union(c_Zorn_OTFin(X2,X3),tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))),
inference(resolution,[],[f26,f8]) ).
fof(f8,axiom,
! [X2,X0,X6] :
( ~ c_in(X0,c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f26,plain,
! [X2,X3] : c_in(c_Union(c_Zorn_OTFin(X2,X3),tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))),
inference(resolution,[],[f7,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(f7,axiom,
! [X2,X6,X5] :
( ~ c_lessequals(X5,c_Zorn_OTFin(X6,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f43,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,[],[f41,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(f41,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,[],[f34,f18]) ).
fof(f18,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference(resolution,[],[f17,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(f17,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_emptyset,X1),X0,X1)
| c_emptyset = X0 ),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f12,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(f34,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,[],[f33]) ).
fof(f33,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_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
inference(resolution,[],[f26,f9]) ).
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
% 0.04/0.12 % Problem : SET847-2 : 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:20:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (11441)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)
% 0.19/0.50 % (11436)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (11433)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)
% 0.19/0.51 % (11455)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)
% 0.19/0.51 % (11447)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)
% 0.19/0.51 % (11444)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)
% 0.19/0.51 % (11456)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 % (11441)Refutation not found, incomplete strategy% (11441)------------------------------
% 0.19/0.51 % (11441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11441)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11441)Memory used [KB]: 5884
% 0.19/0.51 % (11441)Time elapsed: 0.123 s
% 0.19/0.51 % (11441)Instructions burned: 1 (million)
% 0.19/0.51 % (11441)------------------------------
% 0.19/0.51 % (11441)------------------------------
% 0.19/0.51 % (11438)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)
% 0.19/0.52 % (11434)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)
% 0.19/0.52 % (11433)Refutation not found, incomplete strategy% (11433)------------------------------
% 0.19/0.52 % (11433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11433)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (11433)Memory used [KB]: 1535
% 0.19/0.52 % (11433)Time elapsed: 0.125 s
% 0.19/0.52 % (11433)Instructions burned: 5 (million)
% 0.19/0.52 % (11433)------------------------------
% 0.19/0.52 % (11433)------------------------------
% 0.19/0.52 % (11435)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)
% 0.19/0.52 % (11437)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (11448)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (11456)First to succeed.
% 0.19/0.52 % (11448)Instruction limit reached!
% 0.19/0.52 % (11448)------------------------------
% 0.19/0.52 % (11448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11442)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)
% 0.19/0.52 % (11448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11448)Termination reason: Unknown
% 0.19/0.52 % (11448)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (11448)Memory used [KB]: 1279
% 0.19/0.52 % (11448)Time elapsed: 0.003 s
% 0.19/0.52 % (11448)Instructions burned: 2 (million)
% 0.19/0.52 % (11448)------------------------------
% 0.19/0.52 % (11448)------------------------------
% 0.19/0.52 % (11452)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (11456)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (11456)------------------------------
% 0.19/0.52 % (11456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11456)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (11456)Memory used [KB]: 5884
% 0.19/0.52 % (11456)Time elapsed: 0.130 s
% 0.19/0.52 % (11456)Instructions burned: 4 (million)
% 0.19/0.52 % (11456)------------------------------
% 0.19/0.52 % (11456)------------------------------
% 0.19/0.52 % (11428)Success in time 0.174 s
%------------------------------------------------------------------------------