TSTP Solution File: NUM668^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM668^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 08:41:46 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 26 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 45 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 18 ( 14 ~; 2 |; 0 &; 0 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 19 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 12 ( 0 ^ 6 !; 0 ?; 12 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f18,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f15,f17]) ).
thf(f17,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f16]) ).
thf(f16,plain,
( $false
| ~ spl0_2 ),
inference(equality_resolution,[],[f14]) ).
thf(f14,plain,
( ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
thf(f13,plain,
( spl0_2
<=> ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f15,plain,
spl0_2,
inference(avatar_split_clause,[],[f6,f13]) ).
thf(f6,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) ),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
~ ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),y) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),pl,x),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).
thf(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f8]) ).
thf(f8,plain,
( spl0_1
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM668^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 14:40:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25942)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (25945)WARNING: value z3 for option sas not known
% 0.20/0.36 % (25949)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)
% 0.20/0.36 % (25945)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)
% 0.20/0.36 % (25946)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 % (25944)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36 % (25948)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)
% 0.20/0.36 % (25947)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)
% 0.20/0.36 % (25949)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.36 % Exception at run slice level% Exception at run slice level
% 0.20/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36
% 0.20/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (25947)First to succeed.
% 0.20/0.36 % (25949)Also succeeded, but the first one will report.
% 0.20/0.36 % (25948)Also succeeded, but the first one will report.
% 0.20/0.36 % (25947)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25942"
% 0.20/0.36 % (25945)Also succeeded, but the first one will report.
% 0.20/0.37 % (25947)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (25947)------------------------------
% 0.20/0.37 % (25947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (25947)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (25947)Memory used [KB]: 751
% 0.20/0.37 % (25947)Time elapsed: 0.003 s
% 0.20/0.37 % (25947)Instructions burned: 3 (million)
% 0.20/0.37 % (25942)Success in time 0.016 s
%------------------------------------------------------------------------------