TSTP Solution File: SEU139+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 09:27:20 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 64 ( 17 unt; 0 def)
% Number of atoms : 154 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 163 ( 73 ~; 58 |; 16 &)
% ( 14 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 57 ( 53 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f41,f45,f49,f53,f57,f64,f68,f72,f81,f88,f97,f101]) ).
fof(f101,plain,
( ~ spl2_3
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl2_3
| ~ spl2_12 ),
inference(resolution,[],[f96,f44]) ).
fof(f44,plain,
( ! [X0] : ~ proper_subset(X0,X0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_3
<=> ! [X0] : ~ proper_subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f96,plain,
( proper_subset(sK0,sK0)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl2_12
<=> proper_subset(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f97,plain,
( spl2_12
| ~ spl2_2
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f91,f85,f38,f94]) ).
fof(f38,plain,
( spl2_2
<=> proper_subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f85,plain,
( spl2_11
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f91,plain,
( proper_subset(sK0,sK0)
| ~ spl2_2
| ~ spl2_11 ),
inference(superposition,[],[f40,f87]) ).
fof(f87,plain,
( sK0 = sK1
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f40,plain,
( proper_subset(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f88,plain,
( ~ spl2_10
| spl2_11
| ~ spl2_1
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f73,f66,f33,f85,f78]) ).
fof(f78,plain,
( spl2_10
<=> subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f33,plain,
( spl2_1
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f66,plain,
( spl2_8
<=> ! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f73,plain,
( sK0 = sK1
| ~ subset(sK1,sK0)
| ~ spl2_1
| ~ spl2_8 ),
inference(resolution,[],[f67,f35]) ).
fof(f35,plain,
( subset(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f67,plain,
( ! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f81,plain,
( spl2_10
| ~ spl2_2
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f59,f55,f38,f78]) ).
fof(f55,plain,
( spl2_6
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ proper_subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f59,plain,
( subset(sK1,sK0)
| ~ spl2_2
| ~ spl2_6 ),
inference(resolution,[],[f56,f40]) ).
fof(f56,plain,
( ! [X0,X1] :
( ~ proper_subset(X0,X1)
| subset(X0,X1) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f72,plain,
spl2_9,
inference(avatar_split_clause,[],[f28,f70]) ).
fof(f70,plain,
( spl2_9
<=> ! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f28,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) )
& ( ( X0 != X1
& subset(X0,X1) )
| ~ proper_subset(X0,X1) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) )
& ( ( X0 != X1
& subset(X0,X1) )
| ~ proper_subset(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f68,plain,
spl2_8,
inference(avatar_split_clause,[],[f25,f66]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f64,plain,
( ~ spl2_7
| ~ spl2_2
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f58,f51,f38,f61]) ).
fof(f61,plain,
( spl2_7
<=> proper_subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f51,plain,
( spl2_5
<=> ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f58,plain,
( ~ proper_subset(sK0,sK1)
| ~ spl2_2
| ~ spl2_5 ),
inference(resolution,[],[f52,f40]) ).
fof(f52,plain,
( ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f57,plain,
spl2_6,
inference(avatar_split_clause,[],[f26,f55]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f53,plain,
spl2_5,
inference(avatar_split_clause,[],[f22,f51]) ).
fof(f22,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
=> ~ proper_subset(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(f49,plain,
spl2_4,
inference(avatar_split_clause,[],[f21,f47]) ).
fof(f47,plain,
( spl2_4
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f21,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f45,plain,
spl2_3,
inference(avatar_split_clause,[],[f20,f43]) ).
fof(f20,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : ~ proper_subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(f41,plain,
spl2_2,
inference(avatar_split_clause,[],[f19,f38]) ).
fof(f19,plain,
proper_subset(sK1,sK0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( proper_subset(sK1,sK0)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( proper_subset(X1,X0)
& subset(X0,X1) )
=> ( proper_subset(sK1,sK0)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] :
( proper_subset(X1,X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
~ ( proper_subset(X1,X0)
& subset(X0,X1) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1] :
~ ( proper_subset(X1,X0)
& subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(f36,plain,
spl2_1,
inference(avatar_split_clause,[],[f18,f33]) ).
fof(f18,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 11:24:43 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (6710)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (6715)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)
% 0.14/0.36 % (6715)First to succeed.
% 0.14/0.36 % (6715)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6710"
% 0.14/0.36 % (6715)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (6715)------------------------------
% 0.14/0.36 % (6715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (6715)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (6715)Memory used [KB]: 777
% 0.14/0.36 % (6715)Time elapsed: 0.004 s
% 0.14/0.36 % (6715)Instructions burned: 4 (million)
% 0.14/0.36 % (6710)Success in time 0.014 s
%------------------------------------------------------------------------------