TSTP Solution File: NUM765_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM765_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 : n008.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 08:15:20 EDT 2024
% Result : Theorem 0.69s 0.84s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 56 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 56 ~; 41 |; 5 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 64 :)
% 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(f64,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f51,f56,f58,f60,f63]) ).
tff(f63,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f62]) ).
tff(f62,plain,
( $false
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f61,f49]) ).
tff(f49,plain,
( ~ eq(z,u)
| spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f47,plain,
( spl0_3
<=> eq(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f61,plain,
( eq(z,u)
| spl0_2 ),
inference(unit_resulting_resolution,[],[f44,f32]) ).
tff(f32,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,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.1CULaXoaOF/Vampire---4.8_21189',n) ).
tff(f44,plain,
( ~ moref(z,u)
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f42,plain,
( spl0_2
<=> moref(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f60,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f59,f38,f53]) ).
tff(f53,plain,
( spl0_4
<=> eq(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f38,plain,
( spl0_1
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f59,plain,
( eq(x,y)
| spl0_1 ),
inference(unit_resulting_resolution,[],[f40,f26]) ).
tff(f26,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/tmp/tmp.1CULaXoaOF/Vampire---4.8_21189',m) ).
tff(f40,plain,
( ~ moref(x,y)
| spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f58,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f57,f47,f53]) ).
tff(f57,plain,
( ~ eq(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f25,f31]) ).
tff(f31,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,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f20]) ).
tff(f20,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,[],[f11]) ).
tff(f11,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( eq(X2,X3)
=> eq(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,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.1CULaXoaOF/Vampire---4.8_21189',satz56) ).
tff(f25,plain,
~ eq(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ~ eq(pf(x,z),pf(y,u))
& ~ moref(pf(x,z),pf(y,u)) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
file('/export/starexec/sandbox/tmp/tmp.1CULaXoaOF/Vampire---4.8_21189',satz66) ).
tff(f56,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f36,f42,f53]) ).
tff(f36,plain,
( ~ moref(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f24,f28]) ).
tff(f28,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ~ moref(X0,X1)
=> eq(X0,X1) )
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( ( ~ moref(X1,X2)
=> eq(X1,X2) )
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1CULaXoaOF/Vampire---4.8_21189',satz65a) ).
tff(f24,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f14]) ).
tff(f51,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f35,f42,f38]) ).
tff(f35,plain,
( ~ moref(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f24,f27]) ).
tff(f27,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,[],[f17]) ).
tff(f50,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f34,f47,f38]) ).
tff(f34,plain,
( ~ eq(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f24,f30]) ).
tff(f30,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,X3)
& ~ moref(X2,X3) )
| ~ moref(X0,X1) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,X3)
& ~ moref(X2,X3) )
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( ( ~ moref(X2,X3)
=> eq(X2,X3) )
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( ( ~ moref(X3,X4)
=> eq(X3,X4) )
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1CULaXoaOF/Vampire---4.8_21189',satz65b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM765_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.15 % 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
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 15:27:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TX0_THM_NEQ_NAR problem
% 0.16/0.37 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.1CULaXoaOF/Vampire---4.8_21189
% 0.61/0.84 % (21529)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)
% 0.61/0.84 % (21531)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.84 % (21535)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)
% 0.61/0.84 % (21530)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)
% 0.61/0.84 % (21532)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)
% 0.61/0.84 % (21533)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)
% 0.61/0.84 % (21534)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)
% 0.61/0.84 % (21536)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)
% 0.69/0.84 % (21535)First to succeed.
% 0.69/0.84 % (21529)Also succeeded, but the first one will report.
% 0.69/0.84 % (21531)Also succeeded, but the first one will report.
% 0.69/0.84 % (21534)Also succeeded, but the first one will report.
% 0.69/0.84 % (21532)Also succeeded, but the first one will report.
% 0.69/0.84 % (21530)Also succeeded, but the first one will report.
% 0.69/0.84 % (21533)Also succeeded, but the first one will report.
% 0.69/0.84 % (21535)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21437"
% 0.69/0.84 % (21536)Also succeeded, but the first one will report.
% 0.69/0.84 % (21535)Refutation found. Thanks to Tanya!
% 0.69/0.84 % SZS status Theorem for Vampire---4
% 0.69/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.84 % (21535)------------------------------
% 0.69/0.84 % (21535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.84 % (21535)Termination reason: Refutation
% 0.69/0.84
% 0.69/0.84 % (21535)Memory used [KB]: 979
% 0.69/0.84 % (21535)Time elapsed: 0.004 s
% 0.69/0.84 % (21535)Instructions burned: 4 (million)
% 0.69/0.84 % (21437)Success in time 0.466 s
% 0.69/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------