TSTP Solution File: SEU885^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU885^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 04:06:56 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 32 ( 4 unt; 17 typ; 0 def)
% Number of atoms : 177 ( 49 equ; 0 cnn)
% Maximal formula atoms : 8 ( 11 avg)
% Number of connectives : 66 ( 19 ~; 10 |; 23 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 4 con; 0-6 aty)
% Number of variables : 40 ( 0 ^ 18 !; 16 ?; 40 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
cF: b > a ).
thf(func_def_3,type,
cV: b > $o ).
thf(func_def_4,type,
cU: b > $o ).
thf(func_def_8,type,
sK0: a ).
thf(func_def_9,type,
sK1: b ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f53,plain,
$false,
inference(unit_resulting_resolution,[],[f46,f14,f15]) ).
thf(f15,plain,
! [X1: b] :
( ( vAPP(b,a,cF,X1) != sK0 )
| ( vAPP(b,$o,cV,X1) != $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X1: b] :
( ( vAPP(b,a,cF,X1) != sK0 )
| ( vAPP(b,$o,cV,X1) != $true ) )
& ( sK0 = vAPP(b,a,cF,sK1) )
& ( $true = vAPP(b,$o,cU,sK1) )
& ! [X3: b] :
( ( $true = vAPP(b,$o,cV,X3) )
| ( $true != vAPP(b,$o,cU,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a] :
( ! [X1: b] :
( ( vAPP(b,a,cF,X1) != X0 )
| ( vAPP(b,$o,cV,X1) != $true ) )
& ? [X2: b] :
( ( vAPP(b,a,cF,X2) = X0 )
& ( $true = vAPP(b,$o,cU,X2) ) ) )
=> ( ! [X1: b] :
( ( vAPP(b,a,cF,X1) != sK0 )
| ( vAPP(b,$o,cV,X1) != $true ) )
& ? [X2: b] :
( ( vAPP(b,a,cF,X2) = sK0 )
& ( $true = vAPP(b,$o,cU,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X2: b] :
( ( vAPP(b,a,cF,X2) = sK0 )
& ( $true = vAPP(b,$o,cU,X2) ) )
=> ( ( sK0 = vAPP(b,a,cF,sK1) )
& ( $true = vAPP(b,$o,cU,sK1) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ? [X0: a] :
( ! [X1: b] :
( ( vAPP(b,a,cF,X1) != X0 )
| ( vAPP(b,$o,cV,X1) != $true ) )
& ? [X2: b] :
( ( vAPP(b,a,cF,X2) = X0 )
& ( $true = vAPP(b,$o,cU,X2) ) ) )
& ! [X3: b] :
( ( $true = vAPP(b,$o,cV,X3) )
| ( $true != vAPP(b,$o,cU,X3) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
( ? [X1: a] :
( ! [X3: b] :
( ( vAPP(b,a,cF,X3) != X1 )
| ( $true != vAPP(b,$o,cV,X3) ) )
& ? [X2: b] :
( ( vAPP(b,a,cF,X2) = X1 )
& ( $true = vAPP(b,$o,cU,X2) ) ) )
& ! [X0: b] :
( ( vAPP(b,$o,cV,X0) = $true )
| ( vAPP(b,$o,cU,X0) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ! [X0: b] :
( ( vAPP(b,$o,cU,X0) = $true )
=> ( vAPP(b,$o,cV,X0) = $true ) )
=> ! [X1: a] :
( ? [X2: b] :
( ( vAPP(b,a,cF,X2) = X1 )
& ( $true = vAPP(b,$o,cU,X2) ) )
=> ? [X3: b] :
( ( vAPP(b,a,cF,X3) = X1 )
& ( $true = vAPP(b,$o,cV,X3) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: b] :
( vAPP(b,$o,cU,X0)
=> vAPP(b,$o,cV,X0) )
=> ! [X1: a] :
( ? [X2: b] :
( ( vAPP(b,a,cF,X2) = X1 )
& vAPP(b,$o,cU,X2) )
=> ? [X3: b] :
( ( vAPP(b,a,cF,X3) = X1 )
& vAPP(b,$o,cV,X3) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: b] :
( vAPP(b,$o,cU,X0)
=> vAPP(b,$o,cV,X0) )
=> ! [X0: a] :
( ? [X1: b] :
( ( vAPP(b,a,cF,X1) = X0 )
& vAPP(b,$o,cU,X1) )
=> ? [X1: b] :
( ( vAPP(b,a,cF,X1) = X0 )
& vAPP(b,$o,cV,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: b] :
( vAPP(b,$o,cU,X0)
=> vAPP(b,$o,cV,X0) )
=> ! [X0: a] :
( ? [X1: b] :
( ( vAPP(b,a,cF,X1) = X0 )
& vAPP(b,$o,cU,X1) )
=> ? [X1: b] :
( ( vAPP(b,a,cF,X1) = X0 )
& vAPP(b,$o,cV,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM30A_pme) ).
thf(f14,plain,
sK0 = vAPP(b,a,cF,sK1),
inference(cnf_transformation,[],[f11]) ).
thf(f46,plain,
$true = vAPP(b,$o,cV,sK1),
inference(unit_resulting_resolution,[],[f13,f12]) ).
thf(f12,plain,
! [X3: b] :
( ( $true != vAPP(b,$o,cU,X3) )
| ( $true = vAPP(b,$o,cV,X3) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f13,plain,
$true = vAPP(b,$o,cU,sK1),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU885^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 15:38:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9327)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9330)WARNING: value z3 for option sas not known
% 0.14/0.38 % (9329)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (9328)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9331)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (9330)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)
% 0.14/0.38 % (9332)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)
% 0.14/0.38 % (9333)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)
% 0.14/0.38 % (9334)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)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (9334)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (9333)Also succeeded, but the first one will report.
% 0.14/0.38 % (9334)First to succeed.
% 0.14/0.38 % (9332)Also succeeded, but the first one will report.
% 0.14/0.38 % (9334)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9327"
% 0.14/0.38 % (9330)Also succeeded, but the first one will report.
% 0.14/0.38 % (9334)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (9334)------------------------------
% 0.14/0.38 % (9334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (9334)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (9334)Memory used [KB]: 761
% 0.14/0.38 % (9334)Time elapsed: 0.005 s
% 0.14/0.38 % (9334)Instructions burned: 5 (million)
% 0.14/0.38 % (9327)Success in time 0.018 s
%------------------------------------------------------------------------------