TSTP Solution File: NUM664^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM664^1 : 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 : n004.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 08:41:45 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 162 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 35 ( 17 ~; 8 |; 0 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 19 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-6 aty)
% Number of variables : 24 ( 0 ^ 18 !; 0 ?; 24 :)
% ( 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,
z: nat ).
thf(func_def_4,type,
less: nat > nat > $o ).
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(f86,plain,
$false,
inference(subsumption_resolution,[],[f85,f30]) ).
thf(f30,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) = $true,
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) = $true,
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(f85,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) != $true,
inference(superposition,[],[f26,f76]) ).
thf(f76,plain,
y = z,
inference(unit_resulting_resolution,[],[f68,f27]) ).
thf(f27,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z) = $true )
| ( y = z ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( ( y = z )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z) = $true ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f20,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z) != $true )
=> ( y = z ) ),
inference(flattening,[],[f12]) ).
thf(f12,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z) != $true )
=> ( y = z ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
( ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z)
=> ( y = z ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z)
=> ( y = z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(f68,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,y),z) != $true,
inference(unit_resulting_resolution,[],[f30,f26,f29]) ).
thf(f29,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2) != $true )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X2) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X2) )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2) != $true )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) ),
inference(flattening,[],[f24]) ).
thf(f24,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X2) )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2) != $true )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f16,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
=> ( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2) = $true )
=> ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X2) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat,X2: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1)
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X2) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X1: nat,X2: nat,X3: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2)
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X2),X3)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15) ).
thf(f26,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z) != $true,
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z) != $true,
inference(flattening,[],[f10]) ).
thf(f10,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z) != $true,
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z),
inference(rectify,[],[f6]) ).
thf(f6,negated_conjecture,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM664^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n004.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 14:33:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (5023)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (5030)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)
% 0.21/0.36 % (5030)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.36 % (5026)WARNING: value z3 for option sas not known
% 0.21/0.37 % (5025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (5024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (5027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (5026)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)
% 0.21/0.37 % (5028)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)
% 0.21/0.37 % (5030)First to succeed.
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (5029)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)
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (5030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5023"
% 0.21/0.37 % (5030)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (5030)------------------------------
% 0.21/0.37 % (5030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (5030)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (5030)Memory used [KB]: 764
% 0.21/0.37 % (5030)Time elapsed: 0.004 s
% 0.21/0.37 % (5030)Instructions burned: 6 (million)
% 0.21/0.37 % (5023)Success in time 0.017 s
%------------------------------------------------------------------------------