TSTP Solution File: SET852-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET852-2 : 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 : n018.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 18:22:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 28 ~; 55 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f16,f20,f32,f39,f44]) ).
fof(f44,plain,
( spl0_1
| spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f43]) ).
fof(f43,plain,
( $false
| spl0_1
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f42,f15]) ).
fof(f15,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_2
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f42,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f41,f10]) ).
fof(f10,plain,
( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f41,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ spl0_6 ),
inference(resolution,[],[f38,f5]) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X1,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
fof(f38,plain,
( ! [X0] :
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_6
<=> ! [X0] :
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f39,plain,
( spl0_6
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f35,f30,f13,f37]) ).
fof(f30,plain,
( spl0_5
<=> ! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X1,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X1,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f35,plain,
( ! [X0] :
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) )
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f34,f15]) ).
fof(f34,plain,
( ! [X0] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f33,plain,
( ! [X0] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) )
| ~ spl0_5 ),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X3,X1,X4] :
( c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
fof(f31,plain,
( ! [X0,X1] :
( ~ c_in(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X1,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X1,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f18,f30]) ).
fof(f18,plain,
( spl0_3
<=> ! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f22,plain,
( ! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X1,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X1,tc_set(t_a)),X0,tc_set(tc_set(t_a))) )
| ~ spl0_3 ),
inference(resolution,[],[f19,f6]) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
fof(f19,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f18]) ).
fof(f3,axiom,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f16,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f2,f13]) ).
fof(f2,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f1,f8]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:28:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (11553)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.50 % (11545)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51 % (11537)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)
% 0.21/0.51 % (11553)First to succeed.
% 0.21/0.51 % (11553)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (11553)------------------------------
% 0.21/0.51 % (11553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (11553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (11553)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (11553)Memory used [KB]: 5884
% 0.21/0.51 % (11553)Time elapsed: 0.113 s
% 0.21/0.51 % (11553)Instructions burned: 2 (million)
% 0.21/0.51 % (11553)------------------------------
% 0.21/0.51 % (11553)------------------------------
% 0.21/0.51 % (11527)Success in time 0.155 s
%------------------------------------------------------------------------------