TSTP Solution File: NUM765_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM765_8 : TPTP v8.2.0. 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 : 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 : Tue May 21 01:45:45 EDT 2024
% Result : Theorem 0.37s 0.61s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 64 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 68 ~; 53 |; 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 : 68 ( 68 !; 0 ?; 68 :)
% 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(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f55,f58,f62,f68,f74]) ).
tff(f74,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f73]) ).
tff(f73,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f72,f42]) ).
tff(f42,plain,
( moref(z,u)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f41,plain,
( spl0_2
<=> moref(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f72,plain,
( ~ moref(z,u)
| ~ spl0_3 ),
inference(resolution,[],[f70,f25]) ).
tff(f25,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,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/benchmark/theBenchmark.p',satz66) ).
tff(f70,plain,
( ! [X0: frac,X1: frac] :
( moref(pf(x,X0),pf(y,X1))
| ~ moref(X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f49,f30]) ).
tff(f30,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ moref(X2,X3)
| moref(pf(X0,X2),pf(X1,X3)) ),
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)
| ( ~ eq(X0,X1)
& ~ 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)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,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/benchmark/theBenchmark.p',satz65a) ).
tff(f49,plain,
( eq(x,y)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f48,plain,
( spl0_3
<=> eq(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f68,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
tff(f67,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f66,f38]) ).
tff(f38,plain,
( moref(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl0_1
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f66,plain,
( ~ moref(x,y)
| ~ spl0_4 ),
inference(resolution,[],[f64,f25]) ).
tff(f64,plain,
( ! [X0: frac,X1: frac] :
( moref(pf(X0,z),pf(X1,u))
| ~ moref(X0,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f53,f32]) ).
tff(f32,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X2,X3)
| moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,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,[],[f21]) ).
tff(f21,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,[],[f14]) ).
tff(f14,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/benchmark/theBenchmark.p',satz65b) ).
tff(f53,plain,
( eq(z,u)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f52,plain,
( spl0_4
<=> eq(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f62,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f61,f52,f41]) ).
tff(f61,plain,
( moref(z,u)
| spl0_4 ),
inference(resolution,[],[f54,f28]) ).
tff(f28,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( eq(z,u)
| moref(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
tff(f54,plain,
( ~ eq(z,u)
| spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f58,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f57]) ).
tff(f57,plain,
( $false
| spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f56,f39]) ).
tff(f39,plain,
( ~ moref(x,y)
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f56,plain,
( moref(x,y)
| spl0_3 ),
inference(resolution,[],[f50,f27]) ).
tff(f27,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f50,plain,
( ~ eq(x,y)
| spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f55,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
tff(f46,plain,
( ~ eq(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f26,f33]) ).
tff(f33,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,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,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,[],[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/benchmark/theBenchmark.p',satz56) ).
tff(f26,plain,
~ eq(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f16]) ).
tff(f45,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
tff(f35,plain,
( ~ moref(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f25,f29]) ).
tff(f29,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM765_8 : TPTP v8.2.0. Released v8.0.0.
% 0.05/0.11 % 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
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 07:33:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TX0_THM_NEQ_NAR problem
% 0.15/0.31 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/benchmark/theBenchmark.p
% 0.37/0.60 % (2235)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 (2997ds/56Mi)
% 0.37/0.60 % (2230)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.37/0.60 % (2233)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.37/0.60 % (2231)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.37/0.60 % (2232)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 (2997ds/34Mi)
% 0.37/0.60 % (2235)First to succeed.
% 0.37/0.60 % (2228)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 (2997ds/34Mi)
% 0.37/0.61 % (2230)Also succeeded, but the first one will report.
% 0.37/0.61 % (2233)Also succeeded, but the first one will report.
% 0.37/0.61 % (2235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2227"
% 0.37/0.61 % (2231)Also succeeded, but the first one will report.
% 0.37/0.61 % (2232)Also succeeded, but the first one will report.
% 0.37/0.61 % (2235)Refutation found. Thanks to Tanya!
% 0.37/0.61 % SZS status Theorem for theBenchmark
% 0.37/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.61 % (2235)------------------------------
% 0.37/0.61 % (2235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.37/0.61 % (2235)Termination reason: Refutation
% 0.37/0.61
% 0.37/0.61 % (2235)Memory used [KB]: 988
% 0.37/0.61 % (2235)Time elapsed: 0.002 s
% 0.37/0.61 % (2235)Instructions burned: 4 (million)
% 0.37/0.61 % (2227)Success in time 0.291 s
% 0.37/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------