TSTP Solution File: SEU132+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU132+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 09:20:24 EDT 2024
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 149 ( 12 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 185 ( 73 ~; 65 |; 37 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 88 ( 75 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(subsumption_resolution,[],[f366,f315]) ).
fof(f315,plain,
in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK0),
inference(resolution,[],[f211,f169]) ).
fof(f169,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ( ( in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( ~ in(sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X0) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( ~ in(sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X0) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eJl73PDIGi/Vampire---4.8_13982',d4_xboole_0) ).
fof(f211,plain,
in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),set_difference(sK0,sK2)),
inference(resolution,[],[f115,f157]) ).
fof(f157,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.eJl73PDIGi/Vampire---4.8_13982',d3_tarski) ).
fof(f115,plain,
~ subset(set_difference(sK0,sK2),set_difference(sK1,sK2)),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ subset(set_difference(sK0,sK2),set_difference(sK1,sK2))
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f59,f70]) ).
fof(f70,plain,
( ? [X0,X1,X2] :
( ~ subset(set_difference(X0,X2),set_difference(X1,X2))
& subset(X0,X1) )
=> ( ~ subset(set_difference(sK0,sK2),set_difference(sK1,sK2))
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ~ subset(set_difference(X0,X2),set_difference(X1,X2))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.eJl73PDIGi/Vampire---4.8_13982',t33_xboole_1) ).
fof(f366,plain,
~ in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK0),
inference(resolution,[],[f323,f207]) ).
fof(f207,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f114,f156]) ).
fof(f156,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f114,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f323,plain,
~ in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK1),
inference(subsumption_resolution,[],[f322,f316]) ).
fof(f316,plain,
~ in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK2),
inference(resolution,[],[f211,f168]) ).
fof(f168,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f322,plain,
( in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK2)
| ~ in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),sK1) ),
inference(resolution,[],[f212,f167]) ).
fof(f167,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f212,plain,
~ in(sK9(set_difference(sK0,sK2),set_difference(sK1,sK2)),set_difference(sK1,sK2)),
inference(resolution,[],[f115,f158]) ).
fof(f158,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SEU132+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Fri May 3 11:10:31 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.eJl73PDIGi/Vampire---4.8_13982
% 0.56/0.78 % (14098)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.78 % (14091)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78 % (14092)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.78 % (14095)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.78 % (14094)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.78 % (14093)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.78 % (14096)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.78 % (14097)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.78 % (14098)First to succeed.
% 0.56/0.78 % (14098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14090"
% 0.56/0.79 % (14098)Refutation found. Thanks to Tanya!
% 0.56/0.79 % SZS status Theorem for Vampire---4
% 0.56/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.79 % (14098)------------------------------
% 0.56/0.79 % (14098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.79 % (14098)Termination reason: Refutation
% 0.56/0.79
% 0.56/0.79 % (14098)Memory used [KB]: 1154
% 0.56/0.79 % (14098)Time elapsed: 0.005 s
% 0.56/0.79 % (14098)Instructions burned: 13 (million)
% 0.56/0.79 % (14090)Success in time 0.395 s
% 0.56/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------