TSTP Solution File: NUM727^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM727^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 02:13:03 EDT 2024
% Result : Theorem 5.50s 1.10s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 50 ( 26 unt; 18 typ; 0 def)
% Number of atoms : 294 ( 37 equ; 0 cnn)
% Maximal formula atoms : 2 ( 9 avg)
% Number of connectives : 18 ( 12 ~; 5 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-6 aty)
% Number of variables : 53 ( 0 ^ 47 !; 0 ?; 53 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
frac: $tType ).
thf(func_def_1,type,
x: frac ).
thf(func_def_2,type,
y: frac ).
thf(func_def_3,type,
z: frac ).
thf(func_def_4,type,
nat: $tType ).
thf(func_def_5,type,
ts: nat > nat > nat ).
thf(func_def_6,type,
num: frac > nat ).
thf(func_def_7,type,
den: frac > nat ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f7738,plain,
$false,
inference(subsumption_resolution,[],[f7737,f261]) ).
thf(f261,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X0)) ),
inference(superposition,[],[f146,f104]) ).
thf(f104,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)) ),
inference(superposition,[],[f16,f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
! [X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).
thf(f16,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)),X2) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,axiom,
! [X0: nat,X1: nat,X2: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)),X2) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz31) ).
thf(f146,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) ),
inference(superposition,[],[f99,f16]) ).
thf(f99,plain,
! [X2: nat,X0: nat,X1: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0)),X2) ),
inference(superposition,[],[f16,f15]) ).
thf(f7737,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,z)),vAPP(frac,nat,num,y))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,z))),
inference(forward_demodulation,[],[f7511,f257]) ).
thf(f257,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(frac,nat,den,y))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,z))) ),
inference(superposition,[],[f146,f13]) ).
thf(f13,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,z)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,y)),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,z)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f) ).
thf(f7511,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,z)),vAPP(frac,nat,num,y))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,y))),
inference(superposition,[],[f372,f3502]) ).
thf(f3502,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,y)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),vAPP(frac,nat,num,y)),
inference(forward_demodulation,[],[f3396,f15]) ).
thf(f3396,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),vAPP(frac,nat,num,y)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,y)),vAPP(frac,nat,num,x)),
inference(unit_resulting_resolution,[],[f117,f155]) ).
thf(f155,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X3) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)) )
| ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = X3 ) ),
inference(superposition,[],[f50,f99]) ).
thf(f50,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X0) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X1) )
| ( X0 = X2 ) ),
inference(superposition,[],[f17,f15]) ).
thf(f17,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( X0 = X1 )
| ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz33b) ).
thf(f117,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),X0)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,y)),X0)) ),
inference(forward_demodulation,[],[f102,f16]) ).
thf(f102,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),X0)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,y))),X0) ),
inference(superposition,[],[f16,f14]) ).
thf(f14,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,y)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,x)),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,y)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,y)),vAPP(frac,nat,den,x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
thf(f372,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,z)),X0)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),X0)) ),
inference(forward_demodulation,[],[f340,f16]) ).
thf(f340,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,z))),X0) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,den,x)),X0)) ),
inference(unit_resulting_resolution,[],[f12,f108]) ).
thf(f108,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X2)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X3),X2) )
| ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1) = X3 ) ),
inference(superposition,[],[f17,f16]) ).
thf(f12,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,z)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,x)),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,z)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,x)),
inference(flattening,[],[f7]) ).
thf(f7,negated_conjecture,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,z)) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,x)),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,x)),vAPP(frac,nat,den,z)) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,vAPP(frac,nat,num,z)),vAPP(frac,nat,den,x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM727^1 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon May 20 05:17:22 EDT 2024
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % (21364)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (21367)WARNING: value z3 for option sas not known
% 0.11/0.31 % (21367)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.31 % (21365)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.31 % Exception at run slice level
% 0.11/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.31 % (21371)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.31 % (21371)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.32 % (21368)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (21372)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.32 % (21372)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (21366)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (21369)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32 % (21370)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.33 % (21374)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.33 % (21373)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.33 % (21373)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.34 % (21375)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 5.50/1.10 % (21373)First to succeed.
% 5.50/1.10 % (21373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21364"
% 5.50/1.10 % (21373)Refutation found. Thanks to Tanya!
% 5.50/1.10 % SZS status Theorem for theBenchmark
% 5.50/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.10 % (21373)------------------------------
% 5.50/1.10 % (21373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.50/1.10 % (21373)Termination reason: Refutation
% 5.50/1.10
% 5.50/1.10 % (21373)Memory used [KB]: 2749
% 5.50/1.10 % (21373)Time elapsed: 0.765 s
% 5.50/1.10 % (21373)Instructions burned: 3045 (million)
% 5.50/1.10 % (21364)Success in time 0.788 s
%------------------------------------------------------------------------------