TSTP Solution File: SET865-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET865-2 : 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 : n005.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 0.16s 0.49s
% Output : Refutation 0.16s
% 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(f19,plain,
$false,
inference(subsumption_resolution,[],[f18,f17]) ).
fof(f17,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,[],[f16]) ).
fof(f16,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,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f15,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,[],[f14,f4]) ).
fof(f4,axiom,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f14,plain,
! [X0] :
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) ),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,X1),X1),X2,tc_set(X1))
| ~ c_in(X2,X0,tc_set(X1))
| c_Union(c_Zorn_OHausdorff__1(X0,X1),X1) = X2 ),
inference(resolution,[],[f7,f6]) ).
fof(f6,axiom,
! [X3,X5] : c_in(c_Zorn_OHausdorff__1(X5,X3),c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f7,axiom,
! [X3,X1,X6,X5] :
( ~ c_in(X1,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| c_Union(X1,X3) = X6
| ~ c_lessequals(c_Union(X1,X3),X6,tc_set(X3))
| ~ c_in(X6,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f18,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f13,plain,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f10,f6]) ).
fof(f10,plain,
! [X2,X3,X4] :
( ~ c_in(X2,c_Zorn_Omaxchain(X3,X4),tc_set(tc_set(X4)))
| c_in(X2,c_Zorn_Ochain(X3,X4),tc_set(tc_set(X4))) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X3,X5] : c_lessequals(c_Zorn_Omaxchain(X5,X3),c_Zorn_Ochain(X5,X3),tc_set(tc_set(tc_set(X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X4,tc_set(X3))
| c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 14:27:33 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.16/0.47 % (20791)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)
% 0.16/0.47 % (20783)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)
% 0.16/0.48 % (20792)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)
% 0.16/0.48 % (20783)Refutation not found, incomplete strategy% (20783)------------------------------
% 0.16/0.48 % (20783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (20783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (20783)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48
% 0.16/0.48 % (20783)Memory used [KB]: 5756
% 0.16/0.48 % (20783)Time elapsed: 0.098 s
% 0.16/0.48 % (20783)Instructions burned: 2 (million)
% 0.16/0.48 % (20783)------------------------------
% 0.16/0.48 % (20783)------------------------------
% 0.16/0.48 % (20782)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)
% 0.16/0.48 TRYING [1]
% 0.16/0.48 TRYING [2]
% 0.16/0.48 % (20784)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)
% 0.16/0.48 % (20792)Instruction limit reached!
% 0.16/0.48 % (20792)------------------------------
% 0.16/0.48 % (20792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (20792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (20792)Termination reason: Unknown
% 0.16/0.48 % (20792)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (20792)Memory used [KB]: 1279
% 0.16/0.48 % (20792)Time elapsed: 0.004 s
% 0.16/0.48 % (20792)Instructions burned: 2 (million)
% 0.16/0.48 % (20792)------------------------------
% 0.16/0.48 % (20792)------------------------------
% 0.16/0.48 % (20799)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)
% 0.16/0.48 % (20791)Instruction limit reached!
% 0.16/0.48 % (20791)------------------------------
% 0.16/0.48 % (20791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (20791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (20791)Termination reason: Unknown
% 0.16/0.48 % (20791)Termination phase: Finite model building SAT solving
% 0.16/0.48
% 0.16/0.48 % (20791)Memory used [KB]: 5884
% 0.16/0.48 % (20791)Time elapsed: 0.107 s
% 0.16/0.48 % (20791)Instructions burned: 6 (million)
% 0.16/0.48 % (20791)------------------------------
% 0.16/0.48 % (20791)------------------------------
% 0.16/0.49 % (20800)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)
% 0.16/0.49 % (20790)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)
% 0.16/0.49 % (20784)Instruction limit reached!
% 0.16/0.49 % (20784)------------------------------
% 0.16/0.49 % (20784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (20784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (20784)Termination reason: Unknown
% 0.16/0.49 % (20784)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (20784)Memory used [KB]: 5756
% 0.16/0.49 % (20784)Time elapsed: 0.104 s
% 0.16/0.49 % (20784)Instructions burned: 3 (million)
% 0.16/0.49 % (20784)------------------------------
% 0.16/0.49 % (20784)------------------------------
% 0.16/0.49 % (20800)First to succeed.
% 0.16/0.49 % (20800)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (20800)------------------------------
% 0.16/0.50 % (20800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (20800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (20800)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (20800)Memory used [KB]: 5756
% 0.16/0.50 % (20800)Time elapsed: 0.117 s
% 0.16/0.50 % (20800)Instructions burned: 2 (million)
% 0.16/0.50 % (20800)------------------------------
% 0.16/0.50 % (20800)------------------------------
% 0.16/0.50 % (20775)Success in time 0.161 s
%------------------------------------------------------------------------------