TSTP Solution File: SEU406+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n007.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 09:23:16 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 202 ( 14 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 260 ( 104 ~; 86 |; 62 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f80,f81,f82,f136,f160]) ).
fof(f160,plain,
( spl5_2
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl5_2
| spl5_4 ),
inference(subsumption_resolution,[],[f158,f84]) ).
fof(f84,plain,
r2_hidden(sK1,k2_xboole_0(sK3,sK2)),
inference(backward_demodulation,[],[f40,f48]) ).
fof(f48,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.q7MQC2LKF1/Vampire---4.8_20753',commutativity_k2_xboole_0) ).
fof(f40,plain,
r2_hidden(sK1,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,sK3) )
& ( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) )
& ( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,sK3) )
& ( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) )
& r2_hidden(sK1,k2_xboole_0(sK2,sK3))
& r2_hidden(sK0,k2_xboole_0(sK2,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2,X3] :
( ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
| ~ r2_hidden(X0,X3) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X3) )
& ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
| ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& r2_hidden(X0,k2_xboole_0(X2,X3)) )
=> ( ( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,sK3) )
& ( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) )
& ( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,sK3) )
& ( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) )
& r2_hidden(sK1,k2_xboole_0(sK2,sK3))
& r2_hidden(sK0,k2_xboole_0(sK2,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
| ~ r2_hidden(X0,X3) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X3) )
& ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
| ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& r2_hidden(X0,k2_xboole_0(X2,X3)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3] :
~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& r2_hidden(X0,k2_xboole_0(X2,X3)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2,X3] :
~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X1,X3)
& r2_hidden(X0,X3) )
& ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
& r2_hidden(X0,k4_xboole_0(X2,X3)) )
& r2_hidden(X1,k2_xboole_0(X2,X3))
& r2_hidden(X0,k2_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.q7MQC2LKF1/Vampire---4.8_20753',t1_latsum_1) ).
fof(f158,plain,
( ~ r2_hidden(sK1,k2_xboole_0(sK3,sK2))
| spl5_2
| spl5_4 ),
inference(forward_demodulation,[],[f148,f59]) ).
fof(f59,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.q7MQC2LKF1/Vampire---4.8_20753',t39_xboole_1) ).
fof(f148,plain,
( ~ r2_hidden(sK1,k2_xboole_0(sK3,k4_xboole_0(sK2,sK3)))
| spl5_2
| spl5_4 ),
inference(unit_resulting_resolution,[],[f79,f70,f62]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ( ( ( ~ r2_hidden(sK4(X0,X1,X2),X1)
& ~ r2_hidden(sK4(X0,X1,X2),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( r2_hidden(sK4(X0,X1,X2),X1)
| r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) )
=> ( ( ( ~ r2_hidden(sK4(X0,X1,X2),X1)
& ~ r2_hidden(sK4(X0,X1,X2),X0) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( r2_hidden(sK4(X0,X1,X2),X1)
| r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( k2_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q7MQC2LKF1/Vampire---4.8_20753',d2_xboole_0) ).
fof(f70,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| spl5_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl5_2
<=> r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f79,plain,
( ~ r2_hidden(sK1,sK3)
| spl5_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl5_4
<=> r2_hidden(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f136,plain,
( spl5_1
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| spl5_1
| spl5_3 ),
inference(subsumption_resolution,[],[f134,f83]) ).
fof(f83,plain,
r2_hidden(sK0,k2_xboole_0(sK3,sK2)),
inference(backward_demodulation,[],[f39,f48]) ).
fof(f39,plain,
r2_hidden(sK0,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f134,plain,
( ~ r2_hidden(sK0,k2_xboole_0(sK3,sK2))
| spl5_1
| spl5_3 ),
inference(forward_demodulation,[],[f112,f59]) ).
fof(f112,plain,
( ~ r2_hidden(sK0,k2_xboole_0(sK3,k4_xboole_0(sK2,sK3)))
| spl5_1
| spl5_3 ),
inference(unit_resulting_resolution,[],[f75,f66,f62]) ).
fof(f66,plain,
( ~ r2_hidden(sK0,sK3)
| spl5_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl5_1
<=> r2_hidden(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f75,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| spl5_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl5_3
<=> r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f82,plain,
( ~ spl5_3
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f41,f68,f73]) ).
fof(f41,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f81,plain,
( ~ spl5_1
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f42,f77,f64]) ).
fof(f42,plain,
( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,sK3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f80,plain,
( ~ spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f43,f77,f73]) ).
fof(f43,plain,
( ~ r2_hidden(sK1,sK3)
| ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f44,f68,f64]) ).
fof(f44,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK0,sK3) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 11:14:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.q7MQC2LKF1/Vampire---4.8_20753
% 0.61/0.78 % (20864)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)
% 0.61/0.78 % (20861)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)
% 0.61/0.78 % (20863)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (20865)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)
% 0.61/0.78 % (20862)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)
% 0.61/0.78 % (20866)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)
% 0.61/0.78 % (20867)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)
% 0.61/0.78 % (20868)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)
% 0.61/0.78 % (20865)Refutation not found, incomplete strategy% (20865)------------------------------
% 0.61/0.78 % (20865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20865)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20865)Memory used [KB]: 1048
% 0.61/0.78 % (20865)Time elapsed: 0.003 s
% 0.61/0.78 % (20865)Instructions burned: 4 (million)
% 0.61/0.78 % (20868)Refutation not found, incomplete strategy% (20868)------------------------------
% 0.61/0.78 % (20868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20868)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20868)Memory used [KB]: 1044
% 0.61/0.78 % (20868)Time elapsed: 0.003 s
% 0.61/0.78 % (20868)Instructions burned: 3 (million)
% 0.61/0.78 % (20865)------------------------------
% 0.61/0.78 % (20865)------------------------------
% 0.61/0.78 % (20866)Refutation not found, incomplete strategy% (20866)------------------------------
% 0.61/0.78 % (20866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20866)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (20866)Memory used [KB]: 1044
% 0.61/0.78 % (20866)Time elapsed: 0.004 s
% 0.61/0.78 % (20866)Instructions burned: 4 (million)
% 0.61/0.78 % (20868)------------------------------
% 0.61/0.78 % (20868)------------------------------
% 0.61/0.78 % (20866)------------------------------
% 0.61/0.78 % (20866)------------------------------
% 0.61/0.78 % (20864)First to succeed.
% 0.61/0.78 % (20864)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20860"
% 0.61/0.78 % (20864)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (20864)------------------------------
% 0.61/0.78 % (20864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (20864)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (20864)Memory used [KB]: 1073
% 0.61/0.78 % (20864)Time elapsed: 0.006 s
% 0.61/0.78 % (20864)Instructions burned: 7 (million)
% 0.61/0.79 % (20860)Success in time 0.456 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------