TSTP Solution File: SEU523_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU523_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 09:24:39 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 223 ( 20 equ)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 159 ( 60 ~; 42 |; 27 &)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 119 ( 97 fml; 22 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 71 ( 53 !; 18 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK3: $o ).
tff(pred_def_3,type,
sQ4_eqProxy: ( $o * $o ) > $o ).
tff(f53,plain,
$false,
inference(subsumption_resolution,[],[f52,f23]) ).
tff(f23,plain,
setunionAx,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( $true != sK3 )
& ! [X3] :
( ( $true = sK3 )
| ~ in(X3,sK1)
| ~ in(sK2,X3) )
& in(sK2,setunion(sK1))
& setunionAx ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f18,f17]) ).
tff(f17,plain,
( ? [X0,X1] :
( ? [X2: $o] :
( ( $true != (X2) )
& ! [X3] :
( ( $true = (X2) )
| ~ in(X3,X0)
| ~ in(X1,X3) ) )
& in(X1,setunion(X0)) )
=> ( ? [X2: $o] :
( ( $true != (X2) )
& ! [X3] :
( ( $true = (X2) )
| ~ in(X3,sK1)
| ~ in(sK2,X3) ) )
& in(sK2,setunion(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
( ? [X2: $o] :
( ( $true != (X2) )
& ! [X3] :
( ( $true = (X2) )
| ~ in(X3,sK1)
| ~ in(sK2,X3) ) )
=> ( ( $true != sK3 )
& ! [X3] :
( ( $true = sK3 )
| ~ in(X3,sK1)
| ~ in(sK2,X3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
( ? [X0,X1] :
( ? [X2: $o] :
( ( $true != (X2) )
& ! [X3] :
( ( $true = (X2) )
| ~ in(X3,X0)
| ~ in(X1,X3) ) )
& in(X1,setunion(X0)) )
& setunionAx ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ? [X0,X1] :
( ? [X2: $o] :
( ( $true != (X2) )
& ! [X3] :
( ( $true = (X2) )
| ~ in(X3,X0)
| ~ in(X1,X3) ) )
& in(X1,setunion(X0)) )
& setunionAx ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( setunionAx
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> ( $true = (X2) ) ) )
=> ( $true = (X2) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
~ ( setunionAx
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( setunionAx
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X3: $o] :
( ! [X2] :
( in(X1,X2)
=> ( in(X2,X0)
=> (X3) ) )
=> (X3) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( setunionAx
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X3: $o] :
( ! [X2] :
( in(X1,X2)
=> ( in(X2,X0)
=> (X3) ) )
=> (X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l6XQLW0Mtm/Vampire---4.8_2798',setunionE) ).
tff(f52,plain,
~ setunionAx,
inference(subsumption_resolution,[],[f51,f24]) ).
tff(f24,plain,
in(sK2,setunion(sK1)),
inference(cnf_transformation,[],[f19]) ).
tff(f51,plain,
( ~ in(sK2,setunion(sK1))
| ~ setunionAx ),
inference(duplicate_literal_removal,[],[f50]) ).
tff(f50,plain,
( ~ in(sK2,setunion(sK1))
| ~ in(sK2,setunion(sK1))
| ~ setunionAx ),
inference(resolution,[],[f49,f21]) ).
tff(f21,plain,
! [X0: $i,X1: $i] :
( in(sK0(X0,X1),X0)
| ~ in(X1,setunion(X0))
| ~ setunionAx ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0,X1] :
( ( in(X1,setunion(X0))
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ( in(sK0(X0,X1),X0)
& in(X1,sK0(X0,X1)) )
| ~ in(X1,setunion(X0)) ) )
| ~ setunionAx ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
=> ( in(sK0(X0,X1),X0)
& in(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
( ! [X0,X1] :
( ( in(X1,setunion(X0))
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
| ~ in(X1,setunion(X0)) ) )
| ~ setunionAx ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
( ! [X0,X1] :
( ( in(X1,setunion(X0))
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ? [X2] :
( in(X2,X0)
& in(X1,X2) )
| ~ in(X1,setunion(X0)) ) )
| ~ setunionAx ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
( ! [X0,X1] :
( in(X1,setunion(X0))
<=> ? [X2] :
( in(X2,X0)
& in(X1,X2) ) )
| ~ setunionAx ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( setunionAx
=> ! [X0,X1] :
( in(X1,setunion(X0))
<=> ? [X2] :
( in(X2,X0)
& in(X1,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
tff(f6,plain,
( setunionAx
<=> ! [X0,X1] :
( in(X1,setunion(X0))
<=> ? [X2] :
( in(X2,X0)
& in(X1,X2) ) ) ),
inference(fool_elimination,[],[f1]) ).
tff(f1,axiom,
( setunionAx
= ( ! [X0,X1] :
( in(X1,setunion(X0))
<=> ? [X2] :
( in(X2,X0)
& in(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l6XQLW0Mtm/Vampire---4.8_2798',setunionAx) ).
tff(f49,plain,
! [X0: $i] :
( ~ in(sK0(X0,sK2),sK1)
| ~ in(sK2,setunion(X0)) ),
inference(subsumption_resolution,[],[f47,f23]) ).
tff(f47,plain,
! [X0: $i] :
( ~ in(sK0(X0,sK2),sK1)
| ~ in(sK2,setunion(X0))
| ~ setunionAx ),
inference(resolution,[],[f34,f20]) ).
tff(f20,plain,
! [X0: $i,X1: $i] :
( in(X1,sK0(X0,X1))
| ~ in(X1,setunion(X0))
| ~ setunionAx ),
inference(cnf_transformation,[],[f16]) ).
tff(f34,plain,
! [X3: $i] :
( ~ in(sK2,X3)
| ~ in(X3,sK1) ),
inference(subsumption_resolution,[],[f31,f30]) ).
tff(f30,plain,
~ sQ4_eqProxy($true,sK3),
inference(equality_proxy_replacement,[],[f26,f27]) ).
tff(f27,plain,
! [X0: $o,X1: $o] :
( sQ4_eqProxy((X0),(X1))
<=> ( (X0) = (X1) ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
tff(f26,plain,
$true != sK3,
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
! [X3: $i] :
( sQ4_eqProxy($true,sK3)
| ~ in(X3,sK1)
| ~ in(sK2,X3) ),
inference(equality_proxy_replacement,[],[f25,f27]) ).
tff(f25,plain,
! [X3: $i] :
( ( $true = sK3 )
| ~ in(X3,sK1)
| ~ in(sK2,X3) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU523_8 : TPTP v8.1.2. Released v8.0.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 11:51:30 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TX0_THM_EQU_NAR problem
% 0.10/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.l6XQLW0Mtm/Vampire---4.8_2798
% 0.60/0.80 % (2918)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (2913)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 (2995ds/34Mi)
% 0.60/0.80 % (2917)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 (2995ds/34Mi)
% 0.60/0.80 % (2915)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (2916)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (2914)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 (2995ds/51Mi)
% 0.60/0.80 % (2919)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 (2995ds/83Mi)
% 0.60/0.80 % (2920)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 (2995ds/56Mi)
% 0.60/0.80 % (2919)Refutation not found, incomplete strategy% (2919)------------------------------
% 0.60/0.80 % (2919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (2919)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (2919)Memory used [KB]: 949
% 0.60/0.80 % (2919)Time elapsed: 0.003 s
% 0.60/0.80 % (2919)Instructions burned: 2 (million)
% 0.60/0.80 % (2917)First to succeed.
% 0.60/0.80 % (2916)Also succeeded, but the first one will report.
% 0.60/0.80 % (2915)Also succeeded, but the first one will report.
% 0.60/0.80 % (2920)Also succeeded, but the first one will report.
% 0.60/0.80 % (2919)------------------------------
% 0.60/0.80 % (2919)------------------------------
% 0.60/0.80 % (2913)Also succeeded, but the first one will report.
% 0.60/0.80 % (2917)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2907"
% 0.60/0.80 % (2914)Also succeeded, but the first one will report.
% 0.60/0.80 % (2918)Also succeeded, but the first one will report.
% 0.60/0.80 % (2917)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (2917)------------------------------
% 0.60/0.80 % (2917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (2917)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (2917)Memory used [KB]: 979
% 0.60/0.80 % (2917)Time elapsed: 0.004 s
% 0.60/0.80 % (2917)Instructions burned: 3 (million)
% 0.60/0.80 % (2907)Success in time 0.481 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------