TSTP Solution File: SEU267+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU267+1 : 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 : n011.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 09:21:41 EDT 2024
% Result : Theorem 0.65s 0.77s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 3 unt; 0 def)
% Number of atoms : 127 ( 112 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 150 ( 61 ~; 52 |; 18 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 106 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f65,f69]) ).
fof(f69,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| spl6_2 ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
( ! [X0,X1] : ordered_pair(X0,X1) != ordered_pair(sK0,sK1)
| spl6_2 ),
inference(unit_resulting_resolution,[],[f60,f52]) ).
fof(f52,plain,
! [X6,X7,X4,X5] :
( pair_second(ordered_pair(X4,X5)) = X5
| ordered_pair(X4,X5) != ordered_pair(X6,X7) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X1,X6,X7,X4,X5] :
( X1 = X5
| pair_second(ordered_pair(X4,X5)) != X1
| ordered_pair(X4,X5) != ordered_pair(X6,X7) ),
inference(equality_resolution,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X6,X7,X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0
| pair_second(X0) != X1
| ordered_pair(X6,X7) != X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( pair_second(X0) = X1
| ( sK5(X0,X1) != X1
& ordered_pair(sK4(X0,X1),sK5(X0,X1)) = X0 ) )
& ( ! [X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X6,X7) != X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( X1 != X3
& ordered_pair(X2,X3) = X0 )
=> ( sK5(X0,X1) != X1
& ordered_pair(sK4(X0,X1),sK5(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( pair_second(X0) = X1
| ? [X2,X3] :
( X1 != X3
& ordered_pair(X2,X3) = X0 ) )
& ( ! [X4,X5] :
( X1 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X6,X7) != X0 ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X3] :
( ( pair_second(X0) = X3
| ? [X4,X5] :
( X3 != X5
& ordered_pair(X4,X5) = X0 ) )
& ( ! [X4,X5] :
( X3 = X5
| ordered_pair(X4,X5) != X0 )
| pair_second(X0) != X3 ) )
| ! [X1,X2] : ordered_pair(X1,X2) != X0 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X3] :
( pair_second(X0) = X3
<=> ! [X4,X5] :
( X3 = X5
| ordered_pair(X4,X5) != X0 ) )
| ! [X1,X2] : ordered_pair(X1,X2) != X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1,X2] : ordered_pair(X1,X2) = X0
=> ! [X3] :
( pair_second(X0) = X3
<=> ! [X4,X5] :
( ordered_pair(X4,X5) = X0
=> X3 = X5 ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ? [X1,X2] : ordered_pair(X1,X2) = X0
=> ! [X1] :
( pair_second(X0) = X1
<=> ! [X2,X3] :
( ordered_pair(X2,X3) = X0
=> X1 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.oggspHVPoP/Vampire---4.8_31464',d2_mcart_1) ).
fof(f60,plain,
( sK1 != pair_second(ordered_pair(sK0,sK1))
| spl6_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl6_2
<=> sK1 = pair_second(ordered_pair(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f65,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl6_1 ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
( ! [X0,X1] : ordered_pair(X0,X1) != ordered_pair(sK0,sK1)
| spl6_1 ),
inference(unit_resulting_resolution,[],[f56,f48]) ).
fof(f48,plain,
! [X6,X7,X4,X5] :
( pair_first(ordered_pair(X4,X5)) = X4
| ordered_pair(X4,X5) != ordered_pair(X6,X7) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X1,X6,X7,X4,X5] :
( X1 = X4
| pair_first(ordered_pair(X4,X5)) != X1
| ordered_pair(X4,X5) != ordered_pair(X6,X7) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X6,X7,X4,X5] :
( X1 = X4
| ordered_pair(X4,X5) != X0
| pair_first(X0) != X1
| ordered_pair(X6,X7) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( pair_first(X0) = X1
| ( sK2(X0,X1) != X1
& ordered_pair(sK2(X0,X1),sK3(X0,X1)) = X0 ) )
& ( ! [X4,X5] :
( X1 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X6,X7) != X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f31,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2,X3] :
( X1 != X2
& ordered_pair(X2,X3) = X0 )
=> ( sK2(X0,X1) != X1
& ordered_pair(sK2(X0,X1),sK3(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( pair_first(X0) = X1
| ? [X2,X3] :
( X1 != X2
& ordered_pair(X2,X3) = X0 ) )
& ( ! [X4,X5] :
( X1 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X1 ) )
| ! [X6,X7] : ordered_pair(X6,X7) != X0 ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X3] :
( ( pair_first(X0) = X3
| ? [X4,X5] :
( X3 != X4
& ordered_pair(X4,X5) = X0 ) )
& ( ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 )
| pair_first(X0) != X3 ) )
| ! [X1,X2] : ordered_pair(X1,X2) != X0 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X3] :
( pair_first(X0) = X3
<=> ! [X4,X5] :
( X3 = X4
| ordered_pair(X4,X5) != X0 ) )
| ! [X1,X2] : ordered_pair(X1,X2) != X0 ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1,X2] : ordered_pair(X1,X2) = X0
=> ! [X3] :
( pair_first(X0) = X3
<=> ! [X4,X5] :
( ordered_pair(X4,X5) = X0
=> X3 = X4 ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ? [X1,X2] : ordered_pair(X1,X2) = X0
=> ! [X1] :
( pair_first(X0) = X1
<=> ! [X2,X3] :
( ordered_pair(X2,X3) = X0
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.oggspHVPoP/Vampire---4.8_31464',d1_mcart_1) ).
fof(f56,plain,
( sK0 != pair_first(ordered_pair(sK0,sK1))
| spl6_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl6_1
<=> sK0 = pair_first(ordered_pair(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f61,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f38,f58,f54]) ).
fof(f38,plain,
( sK1 != pair_second(ordered_pair(sK0,sK1))
| sK0 != pair_first(ordered_pair(sK0,sK1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( sK1 != pair_second(ordered_pair(sK0,sK1))
| sK0 != pair_first(ordered_pair(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f28]) ).
fof(f28,plain,
( ? [X0,X1] :
( pair_second(ordered_pair(X0,X1)) != X1
| pair_first(ordered_pair(X0,X1)) != X0 )
=> ( sK1 != pair_second(ordered_pair(sK0,sK1))
| sK0 != pair_first(ordered_pair(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1] :
( pair_second(ordered_pair(X0,X1)) != X1
| pair_first(ordered_pair(X0,X1)) != X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( pair_second(ordered_pair(X0,X1)) = X1
& pair_first(ordered_pair(X0,X1)) = X0 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1] :
( pair_second(ordered_pair(X0,X1)) = X1
& pair_first(ordered_pair(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.oggspHVPoP/Vampire---4.8_31464',t7_mcart_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU267+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % 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
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 11:17:33 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32 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.oggspHVPoP/Vampire---4.8_31464
% 0.56/0.77 % (31572)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)
% 0.56/0.77 % (31574)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.77 % (31576)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)
% 0.56/0.77 % (31575)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)
% 0.56/0.77 % (31573)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)
% 0.56/0.77 % (31577)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)
% 0.56/0.77 % (31579)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)
% 0.56/0.77 % (31577)Refutation not found, incomplete strategy% (31577)------------------------------
% 0.56/0.77 % (31577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (31578)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)
% 0.56/0.77 % (31577)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (31577)Memory used [KB]: 1025
% 0.56/0.77 % (31577)Time elapsed: 0.003 s
% 0.56/0.77 % (31577)Instructions burned: 3 (million)
% 0.56/0.77 % (31576)Refutation not found, incomplete strategy% (31576)------------------------------
% 0.56/0.77 % (31576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (31576)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (31576)Memory used [KB]: 1045
% 0.56/0.77 % (31576)Time elapsed: 0.003 s
% 0.56/0.77 % (31576)Instructions burned: 3 (million)
% 0.56/0.77 % (31577)------------------------------
% 0.56/0.77 % (31577)------------------------------
% 0.56/0.77 % (31576)------------------------------
% 0.56/0.77 % (31576)------------------------------
% 0.56/0.77 % (31575)First to succeed.
% 0.56/0.77 % (31572)Also succeeded, but the first one will report.
% 0.56/0.77 % (31573)Also succeeded, but the first one will report.
% 0.56/0.77 % (31579)Refutation not found, incomplete strategy% (31579)------------------------------
% 0.56/0.77 % (31579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (31579)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (31579)Memory used [KB]: 1026
% 0.56/0.77 % (31579)Time elapsed: 0.002 s
% 0.56/0.77 % (31574)Also succeeded, but the first one will report.
% 0.56/0.77 % (31579)Instructions burned: 3 (million)
% 0.56/0.77 % (31579)------------------------------
% 0.56/0.77 % (31579)------------------------------
% 0.56/0.77 % (31575)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31571"
% 0.65/0.77 % (31575)Refutation found. Thanks to Tanya!
% 0.65/0.77 % SZS status Theorem for Vampire---4
% 0.65/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.77 % (31575)------------------------------
% 0.65/0.77 % (31575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (31575)Termination reason: Refutation
% 0.65/0.77
% 0.65/0.77 % (31575)Memory used [KB]: 1044
% 0.65/0.77 % (31575)Time elapsed: 0.004 s
% 0.65/0.77 % (31575)Instructions burned: 5 (million)
% 0.65/0.77 % (31571)Success in time 0.444 s
% 0.65/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------