TSTP Solution File: COM007+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM007+2 : TPTP v8.2.0. Released v3.2.0.
% 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 : 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 : Mon May 20 19:09:57 EDT 2024
% Result : Theorem 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 9 unt; 0 def)
% Number of atoms : 157 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 174 ( 80 ~; 72 |; 9 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 60 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f38,f51,f60,f65,f77,f79,f90]) ).
fof(f90,plain,
( ~ spl1_1
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| ~ spl1_1
| ~ spl1_6 ),
inference(resolution,[],[f86,f20]) ).
fof(f20,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( reflexive_rewrite(a,c)
& reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
fof(f86,plain,
( ~ reflexive_rewrite(a,b)
| ~ spl1_1
| ~ spl1_6 ),
inference(resolution,[],[f84,f29]) ).
fof(f29,plain,
! [X1] : reflexive_rewrite(X1,X1),
inference(equality_resolution,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_in_reflexive_rewrite) ).
fof(f84,plain,
( ! [X0] :
( ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(a,X0) )
| ~ spl1_1
| ~ spl1_6 ),
inference(superposition,[],[f32,f59]) ).
fof(f59,plain,
( a = c
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl1_6
<=> a = c ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f32,plain,
( ! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl1_1
<=> ! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f79,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f78,f75,f53,f44]) ).
fof(f44,plain,
( spl1_3
<=> rewrite(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f53,plain,
( spl1_5
<=> rewrite(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f75,plain,
( spl1_7
<=> ! [X1] :
( ~ rewrite(X1,c)
| ~ rewrite(X1,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f78,plain,
( ~ rewrite(a,b)
| ~ spl1_5
| ~ spl1_7 ),
inference(resolution,[],[f76,f55]) ).
fof(f55,plain,
( rewrite(a,c)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f76,plain,
( ! [X1] :
( ~ rewrite(X1,c)
| ~ rewrite(X1,b) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( spl1_7
| spl1_7
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f73,f31,f75,f75]) ).
fof(f73,plain,
( ! [X0,X1] :
( ~ rewrite(X0,b)
| ~ rewrite(X0,c)
| ~ rewrite(X1,c)
| ~ rewrite(X1,b) )
| ~ spl1_1 ),
inference(resolution,[],[f70,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( reflexive_rewrite(X1,sK0(X2,X1))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(resolution,[],[f27,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ rewrite(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( rewrite(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(f27,plain,
! [X2,X0,X1] :
( rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
fof(f18,plain,
! [X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
=> ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).
fof(f70,plain,
( ! [X0,X1] :
( ~ reflexive_rewrite(b,sK0(c,X1))
| ~ rewrite(X0,X1)
| ~ rewrite(X0,c) )
| ~ spl1_1 ),
inference(resolution,[],[f67,f32]) ).
fof(f67,plain,
! [X2,X0,X1] :
( reflexive_rewrite(X2,sK0(X2,X1))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(resolution,[],[f26,f24]) ).
fof(f26,plain,
! [X2,X0,X1] :
( rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f65,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl1_1
| ~ spl1_4 ),
inference(resolution,[],[f61,f21]) ).
fof(f21,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( ~ reflexive_rewrite(a,c)
| ~ spl1_1
| ~ spl1_4 ),
inference(superposition,[],[f39,f50]) ).
fof(f50,plain,
( a = b
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl1_4
<=> a = b ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f39,plain,
( ~ reflexive_rewrite(b,c)
| ~ spl1_1 ),
inference(resolution,[],[f32,f29]) ).
fof(f60,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f41,f57,f53]) ).
fof(f41,plain,
( a = c
| rewrite(a,c) ),
inference(resolution,[],[f25,f21]) ).
fof(f25,plain,
! [X0,X1] :
( ~ reflexive_rewrite(X0,X1)
| X0 = X1
| rewrite(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( rewrite(X0,X1)
| X0 = X1
| ~ reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( rewrite(X0,X1)
| X0 = X1
| ~ reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
=> ( rewrite(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite) ).
fof(f51,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f40,f48,f44]) ).
fof(f40,plain,
( a = b
| rewrite(a,b) ),
inference(resolution,[],[f25,f20]) ).
fof(f38,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f28,f34]) ).
fof(f34,plain,
( spl1_2
<=> goal ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f28,plain,
~ goal,
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
~ goal,
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f37,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f22,f34,f31]) ).
fof(f22,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( reflexive_rewrite(c,X0)
& reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_ax) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM007+2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % 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
% 0.15/0.34 % Computer : n021.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 10:18:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.55/0.72 % (29425)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.72 % (29425)Refutation not found, incomplete strategy% (29425)------------------------------
% 0.55/0.72 % (29425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29425)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29425)Memory used [KB]: 943
% 0.55/0.72 % (29425)Time elapsed: 0.001 s
% 0.55/0.72 % (29425)Instructions burned: 2 (million)
% 0.55/0.72 % (29425)------------------------------
% 0.55/0.72 % (29425)------------------------------
% 0.55/0.72 % (29419)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.72 % (29421)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.72 % (29422)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.72 % (29424)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.72 % (29423)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.72 % (29420)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.72 % (29419)Refutation not found, incomplete strategy% (29419)------------------------------
% 0.55/0.72 % (29419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29419)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29419)Memory used [KB]: 943
% 0.55/0.72 % (29419)Time elapsed: 0.002 s
% 0.55/0.72 % (29419)Instructions burned: 2 (million)
% 0.55/0.72 % (29422)Refutation not found, incomplete strategy% (29422)------------------------------
% 0.55/0.72 % (29422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29422)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29422)Memory used [KB]: 943
% 0.55/0.72 % (29422)Time elapsed: 0.002 s
% 0.55/0.72 % (29424)Refutation not found, incomplete strategy% (29424)------------------------------
% 0.55/0.72 % (29424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29422)Instructions burned: 2 (million)
% 0.55/0.72 % (29424)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29424)Memory used [KB]: 943
% 0.55/0.72 % (29424)Time elapsed: 0.002 s
% 0.55/0.72 % (29419)------------------------------
% 0.55/0.72 % (29419)------------------------------
% 0.55/0.72 % (29424)Instructions burned: 2 (million)
% 0.55/0.72 % (29422)------------------------------
% 0.55/0.72 % (29422)------------------------------
% 0.55/0.72 % (29424)------------------------------
% 0.55/0.72 % (29424)------------------------------
% 0.55/0.72 % (29423)Refutation not found, incomplete strategy% (29423)------------------------------
% 0.55/0.72 % (29423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29423)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29423)Memory used [KB]: 955
% 0.55/0.72 % (29423)Time elapsed: 0.003 s
% 0.55/0.72 % (29423)Instructions burned: 2 (million)
% 0.55/0.72 % (29423)------------------------------
% 0.55/0.72 % (29423)------------------------------
% 0.55/0.72 % (29426)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.72 % (29426)Refutation not found, incomplete strategy% (29426)------------------------------
% 0.55/0.72 % (29426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29426)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (29426)Memory used [KB]: 943
% 0.55/0.72 % (29426)Time elapsed: 0.001 s
% 0.55/0.72 % (29426)Instructions burned: 2 (million)
% 0.55/0.72 % (29426)------------------------------
% 0.55/0.72 % (29426)------------------------------
% 0.55/0.72 % (29420)First to succeed.
% 0.55/0.72 % (29421)Also succeeded, but the first one will report.
% 0.55/0.72 % (29420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29418"
% 0.55/0.72 % (29420)Refutation found. Thanks to Tanya!
% 0.55/0.72 % SZS status Theorem for theBenchmark
% 0.55/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.72 % (29420)------------------------------
% 0.55/0.72 % (29420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (29420)Termination reason: Refutation
% 0.55/0.72
% 0.55/0.72 % (29420)Memory used [KB]: 1001
% 0.55/0.72 % (29420)Time elapsed: 0.005 s
% 0.55/0.72 % (29420)Instructions burned: 4 (million)
% 0.55/0.72 % (29418)Success in time 0.366 s
% 0.55/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------