TSTP Solution File: NUM762_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM762_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 : Wed May 1 03:34:14 EDT 2024
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 15 unt; 9 typ; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 35 ~; 30 |; 0 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
u: frac ).
tff(func_def_4,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_3,type,
sP0: ( frac * frac ) > $o ).
tff(f94,plain,
$false,
inference(unit_resulting_resolution,[],[f29,f79,f31]) ).
tff(f31,plain,
! [X2: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(X0,X1)
=> moref(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac] :
( moref(X1,X2)
=> moref(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz61) ).
tff(f79,plain,
~ moref(pf(x,z),pf(y,z)),
inference(unit_resulting_resolution,[],[f39,f47,f37]) ).
tff(f37,plain,
! [X3: frac,X0: frac,X1: frac] :
( ~ sP0(X0,X3)
| ~ eq(X1,X3)
| ~ moref(X0,X1) ),
inference(general_splitting,[],[f32,f36_D]) ).
tff(f36,plain,
! [X2: frac,X3: frac,X0: frac] :
( ~ eq(X0,X2)
| moref(X2,X3)
| sP0(X0,X3) ),
inference(cnf_transformation,[],[f36_D]) ).
tff(f36_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ eq(X0,X2)
| moref(X2,X3) )
<=> ~ sP0(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
tff(f32,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ moref(X0,X1)
| ~ eq(X0,X2)
| ~ eq(X1,X3)
| moref(X2,X3) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> moref(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( eq(X1,X3)
=> ( eq(X2,X4)
=> moref(X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz44) ).
tff(f47,plain,
! [X0: frac] : eq(pf(X0,z),pf(X0,u)),
inference(unit_resulting_resolution,[],[f35,f41,f34]) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( eq(X2,X3)
=> eq(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( eq(X1,X2)
=> ( eq(X3,X4)
=> eq(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz56) ).
tff(f41,plain,
eq(z,u),
inference(unit_resulting_resolution,[],[f38,f33]) ).
tff(f33,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( eq(z,u)
| moref(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',n) ).
tff(f38,plain,
~ moref(z,u),
inference(unit_resulting_resolution,[],[f29,f28,f30]) ).
tff(f30,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz64) ).
tff(f28,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
~ moref(pf(x,z),pf(y,u)),
inference(flattening,[],[f10]) ).
tff(f10,negated_conjecture,
~ moref(pf(x,z),pf(y,u)),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
moref(pf(x,z),pf(y,u)),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz65b) ).
tff(f35,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',satz37) ).
tff(f39,plain,
sP0(pf(x,z),pf(y,u)),
inference(unit_resulting_resolution,[],[f35,f28,f36]) ).
tff(f29,plain,
moref(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
moref(x,y),
file('/export/starexec/sandbox/tmp/tmp.R7UhVt7Yxy/Vampire---4.8_4719',m) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM762_8 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 16:53:13 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TX0_THM_NEQ_NAR problem
% 0.19/0.34 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.R7UhVt7Yxy/Vampire---4.8_4719
% 0.61/0.82 % (4834)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82 % (4835)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)
% 0.61/0.82 % (4832)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)
% 0.61/0.82 % (4837)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)
% 0.61/0.82 % (4838)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)
% 0.61/0.82 % (4833)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)
% 0.61/0.82 % (4836)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)
% 0.61/0.82 % (4839)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)
% 0.61/0.82 % (4837)Refutation not found, incomplete strategy% (4837)------------------------------
% 0.61/0.82 % (4837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (4837)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (4837)Memory used [KB]: 964
% 0.61/0.82 % (4837)Time elapsed: 0.003 s
% 0.61/0.82 % (4837)Instructions burned: 2 (million)
% 0.61/0.82 % (4837)------------------------------
% 0.61/0.82 % (4837)------------------------------
% 0.61/0.83 % (4836)Refutation not found, incomplete strategy% (4836)------------------------------
% 0.61/0.83 % (4836)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (4836)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (4836)Memory used [KB]: 968
% 0.61/0.83 % (4836)Time elapsed: 0.002 s
% 0.61/0.83 % (4836)Instructions burned: 2 (million)
% 0.61/0.83 % (4836)------------------------------
% 0.61/0.83 % (4836)------------------------------
% 0.61/0.83 % (4838)First to succeed.
% 0.61/0.83 % (4834)Also succeeded, but the first one will report.
% 0.61/0.83 % (4838)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status Theorem for Vampire---4
% 0.61/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83 % (4838)------------------------------
% 0.61/0.83 % (4838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (4838)Termination reason: Refutation
% 0.61/0.83
% 0.61/0.83 % (4838)Memory used [KB]: 1049
% 0.61/0.83 % (4838)Time elapsed: 0.004 s
% 0.61/0.83 % (4838)Instructions burned: 5 (million)
% 0.61/0.83 % (4838)------------------------------
% 0.61/0.83 % (4838)------------------------------
% 0.61/0.83 % (4829)Success in time 0.486 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------